TSTP Solution File: SWW583_2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW583_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_uns --cores 0 -t %d %s
% Computer : n014.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 19:08:01 EDT 2022
% Result : Theorem 20.96s 3.06s
% Output : Refutation 20.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 516
% Syntax : Number of formulae : 1804 ( 194 unt; 116 typ; 0 def)
% Number of atoms : 5319 ( 961 equ)
% Maximal formula atoms : 96 ( 3 avg)
% Number of connectives : 5738 (2107 ~;2572 |; 549 &)
% ( 315 <=>; 195 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 5685 (1927 atm; 646 fun;2340 num; 772 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 121 ( 49 >; 72 *; 0 +; 0 <<)
% Number of predicates : 327 ( 323 usr; 316 prp; 0-3 aty)
% Number of functors : 108 ( 101 usr; 64 con; 0-5 aty)
% Number of variables : 1248 (1123 !; 125 ?;1247 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
map_int_int: $tType ).
tff(type_def_10,type,
array_int: $tType ).
tff(type_def_11,type,
lparray_intcm_intrp: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
map: ( ty * ty ) > ty ).
tff(func_def_13,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_14,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_15,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_16,type,
array: ty > ty ).
tff(func_def_17,type,
mk_array: ( ty * $int * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_19,type,
elts: ( ty * uni ) > uni ).
tff(func_def_20,type,
get1: ( ty * uni * $int ) > uni ).
tff(func_def_21,type,
t2tb: $int > uni ).
tff(func_def_22,type,
tb2t: uni > $int ).
tff(func_def_23,type,
set1: ( ty * uni * $int * uni ) > uni ).
tff(func_def_24,type,
make: ( ty * $int * uni ) > uni ).
tff(func_def_25,type,
t2tb1: map_int_int > uni ).
tff(func_def_26,type,
tb2t1: uni > map_int_int ).
tff(func_def_27,type,
t2tb2: array_int > uni ).
tff(func_def_28,type,
tb2t2: uni > array_int ).
tff(func_def_29,type,
k: $int ).
tff(func_def_30,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_31,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_32,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_33,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_34,type,
t2tb3: lparray_intcm_intrp > uni ).
tff(func_def_35,type,
tb2t3: uni > lparray_intcm_intrp ).
tff(func_def_36,type,
num_of: ( lparray_intcm_intrp * $int * $int ) > $int ).
tff(func_def_40,type,
numeq: ( array_int * $int * $int * $int ) > $int ).
tff(func_def_41,type,
num_of1: ( lparray_intcm_intrp * $int * $int ) > $int ).
tff(func_def_42,type,
numlt: ( array_int * $int * $int * $int ) > $int ).
tff(func_def_43,type,
ref: ty > ty ).
tff(func_def_44,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_45,type,
contents: ( ty * uni ) > uni ).
tff(func_def_47,type,
sK0: array_int > $int ).
tff(func_def_48,type,
sK1: map_int_int ).
tff(func_def_49,type,
sK2: $int ).
tff(func_def_50,type,
sK3: $int ).
tff(func_def_51,type,
sK4: map_int_int ).
tff(func_def_52,type,
sK5: map_int_int ).
tff(func_def_53,type,
sK6: $int ).
tff(func_def_54,type,
sK7: $int ).
tff(func_def_55,type,
sK8: $int ).
tff(func_def_56,type,
sK9: $int ).
tff(func_def_57,type,
sK10: map_int_int ).
tff(func_def_58,type,
sK11: map_int_int ).
tff(func_def_59,type,
sK12: $int ).
tff(func_def_60,type,
sK13: $int ).
tff(func_def_61,type,
sK14: ( lparray_intcm_intrp * $int * $int ) > $int ).
tff(func_def_62,type,
sK15: ( $int * lparray_intcm_intrp * lparray_intcm_intrp * $int ) > $int ).
tff(func_def_63,type,
sK16: ( $int * lparray_intcm_intrp * $int ) > $int ).
tff(func_def_64,type,
sK17: ( $int * $int * lparray_intcm_intrp * lparray_intcm_intrp ) > $int ).
tff(func_def_65,type,
sK18: ( $int * $int * lparray_intcm_intrp ) > $int ).
tff(func_def_66,type,
sK19: ( lparray_intcm_intrp * $int * $int * lparray_intcm_intrp ) > $int ).
tff(func_def_67,type,
sK20: ( $int * lparray_intcm_intrp * $int ) > $int ).
tff(func_def_68,type,
sK21: ( lparray_intcm_intrp * lparray_intcm_intrp * $int * $int ) > $int ).
tff(func_def_69,type,
sF22: $int ).
tff(func_def_70,type,
sF23: $int ).
tff(func_def_71,type,
sF24: ty ).
tff(func_def_72,type,
sF25: uni ).
tff(func_def_73,type,
sF26: uni ).
tff(func_def_74,type,
sF27: uni ).
tff(func_def_75,type,
sF28: uni ).
tff(func_def_76,type,
sF29: lparray_intcm_intrp ).
tff(func_def_77,type,
sF30: $int ).
tff(func_def_78,type,
sF31: uni ).
tff(func_def_79,type,
sF32: uni ).
tff(func_def_80,type,
sF33: uni ).
tff(func_def_81,type,
sF34: uni ).
tff(func_def_82,type,
sF35: $int ).
tff(func_def_83,type,
sF36: $int ).
tff(func_def_84,type,
sF37: uni ).
tff(func_def_85,type,
sF38: uni ).
tff(func_def_86,type,
sF39: uni ).
tff(func_def_87,type,
sF40: map_int_int ).
tff(func_def_88,type,
sF41: $int ).
tff(func_def_89,type,
sF42: uni ).
tff(func_def_90,type,
sF43: uni ).
tff(func_def_91,type,
sF44: uni ).
tff(func_def_92,type,
sF45: $int ).
tff(func_def_93,type,
sF46: uni ).
tff(func_def_94,type,
sF47: $int ).
tff(func_def_95,type,
sF48: $int ).
tff(func_def_96,type,
sF49: $int ).
tff(func_def_97,type,
sF50: $int ).
tff(func_def_98,type,
sF51: uni ).
tff(func_def_99,type,
sF52: lparray_intcm_intrp ).
tff(func_def_100,type,
sF53: $int ).
tff(func_def_101,type,
sF54: $int ).
tff(func_def_102,type,
sF55: array_int ).
tff(func_def_111,type,
'$inst57': $int ).
tff(func_def_112,type,
'$inst58': $int ).
tff(func_def_113,type,
'$inst59': $int ).
tff(func_def_115,type,
'$inst60': $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
sorted_sub: ( map_int_int * $int * $int ) > $o ).
tff(pred_def_5,type,
sorted_sub1: ( array_int * $int * $int ) > $o ).
tff(pred_def_6,type,
sorted: array_int > $o ).
tff(pred_def_7,type,
k_values: array_int > $o ).
tff(pred_def_8,type,
eq: ( lparray_intcm_intrp * $int ) > $o ).
tff(pred_def_9,type,
lt: ( lparray_intcm_intrp * $int ) > $o ).
tff(pred_def_10,type,
permut: ( array_int * array_int ) > $o ).
tff(f3984,plain,
$false,
inference(avatar_smt_refutation,[],[f593,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f674,f679,f684,f689,f694,f695,f700,f705,f710,f711,f716,f721,f726,f731,f736,f741,f746,f751,f756,f761,f766,f771,f776,f781,f786,f791,f796,f805,f810,f811,f816,f821,f826,f831,f836,f837,f842,f847,f852,f857,f862,f867,f872,f877,f882,f883,f888,f893,f921,f930,f935,f944,f953,f962,f971,f980,f992,f998,f1026,f1038,f1046,f1056,f1078,f1089,f1110,f1129,f1137,f1151,f1158,f1163,f1169,f1178,f1187,f1196,f1217,f1241,f1261,f1278,f1288,f1294,f1299,f1305,f1312,f1321,f1342,f1346,f1353,f1362,f1369,f1385,f1412,f1422,f1427,f1433,f1439,f1453,f1469,f1475,f1480,f1493,f1509,f1520,f1542,f1552,f1562,f1568,f1576,f1599,f1613,f1633,f1642,f1669,f1678,f1692,f1701,f1775,f1782,f1788,f1802,f1807,f1828,f1841,f1881,f1936,f1937,f1943,f1969,f1982,f1990,f1996,f2060,f2065,f2094,f2098,f2105,f2106,f2114,f2118,f2119,f2125,f2129,f2135,f2139,f2143,f2147,f2148,f2171,f2179,f2184,f2189,f2197,f2230,f2237,f2245,f2265,f2302,f2309,f2314,f2378,f2379,f2393,f2399,f2404,f2413,f2418,f2424,f2457,f2459,f2481,f2495,f2501,f2506,f2511,f2520,f2525,f2551,f2557,f2566,f2569,f2576,f2583,f2585,f2587,f2613,f2617,f2628,f2633,f2639,f2653,f2676,f2682,f2691,f2696,f2702,f2712,f2728,f2738,f2751,f2754,f2768,f2779,f2802,f2807,f2809,f2810,f2846,f2888,f2889,f2892,f2904,f2910,f2986,f2991,f2996,f3013,f3020,f3038,f3044,f3054,f3087,f3092,f3097,f3103,f3108,f3113,f3114,f3117,f3121,f3122,f3123,f3125,f3126,f3127,f3131,f3135,f3139,f3140,f3142,f3147,f3152,f3153,f3154,f3158,f3159,f3164,f3173,f3175,f3184,f3193,f3201,f3211,f3229,f3231,f3234,f3236,f3273,f3278,f3285,f3300,f3308,f3310,f3313,f3325,f3333,f3336,f3341,f3347,f3363,f3365,f3367,f3373,f3377,f3455,f3457,f3464,f3466,f3472,f3535,f3536,f3537,f3556,f3561,f3563,f3584,f3590,f3663,f3665,f3669,f3671,f3677,f3682,f3685,f3691,f3692,f3703,f3708,f3709,f3726,f3735,f3737,f3740,f3742,f3756,f3758,f3760,f3769,f3777,f3787,f3797,f3802,f3807,f3818,f3826,f3827,f3869,f3873,f3875,f3876,f3884,f3902,f3903,f3925,f3926,f3932,f3948,f3953,f3960,f3965,f3974,f3983]) ).
tff(f3983,plain,
( spl56_314
| spl56_315
| spl56_258 ),
inference(avatar_split_clause,[],[f3964,f3177,f3980,f3976]) ).
tff(f3976,plain,
( spl56_314
<=> $less(k,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_314])]) ).
tff(f3980,plain,
( spl56_315
<=> ( k = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_315])]) ).
tff(f3177,plain,
( spl56_258
<=> $less(sK13,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_258])]) ).
tff(f3964,plain,
( ( k = sK13 )
| $less(k,sK13)
| spl56_258 ),
inference(resolution,[],[f3179,f122]) ).
tff(f122,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f3179,plain,
( ~ $less(sK13,k)
| spl56_258 ),
inference(avatar_component_clause,[],[f3177]) ).
tff(f3974,plain,
( spl56_312
| spl56_313
| ~ spl56_6
| spl56_258 ),
inference(avatar_split_clause,[],[f3963,f3177,f615,f3971,f3967]) ).
tff(f3967,plain,
( spl56_312
<=> ( k = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_312])]) ).
tff(f3971,plain,
( spl56_313
<=> $less(k,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_313])]) ).
tff(f615,plain,
( spl56_6
<=> $less(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_6])]) ).
tff(f3963,plain,
( $less(k,sK12)
| ( k = sK12 )
| ~ spl56_6
| spl56_258 ),
inference(resolution,[],[f3179,f972]) ).
tff(f972,plain,
( ! [X0: $int] :
( $less(sK13,X0)
| ( sK12 = X0 )
| $less(X0,sK12) )
| ~ spl56_6 ),
inference(resolution,[],[f899,f122]) ).
tff(f899,plain,
( ! [X1: $int] :
( ~ $less(sK12,X1)
| $less(sK13,X1) )
| ~ spl56_6 ),
inference(resolution,[],[f121,f617]) ).
tff(f617,plain,
( $less(sK13,sK12)
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f615]) ).
tff(f121,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f3965,plain,
( ~ spl56_161
| ~ spl56_113
| spl56_258 ),
inference(avatar_split_clause,[],[f3962,f3177,f1409,f2057]) ).
tff(f2057,plain,
( spl56_161
<=> $less(sK9,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_161])]) ).
tff(f1409,plain,
( spl56_113
<=> $less(sK13,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_113])]) ).
tff(f3962,plain,
( ~ $less(sK9,k)
| ~ spl56_113
| spl56_258 ),
inference(resolution,[],[f3179,f3906]) ).
tff(f3906,plain,
( ! [X1: $int] :
( $less(sK13,X1)
| ~ $less(sK9,X1) )
| ~ spl56_113 ),
inference(resolution,[],[f1410,f121]) ).
tff(f1410,plain,
( $less(sK13,sK9)
| ~ spl56_113 ),
inference(avatar_component_clause,[],[f1409]) ).
tff(f3960,plain,
( ~ spl56_164
| ~ spl56_167 ),
inference(avatar_split_clause,[],[f3958,f2108,f2091]) ).
tff(f2091,plain,
( spl56_164
<=> $less(sF54,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_164])]) ).
tff(f2108,plain,
( spl56_167
<=> $less(0,sF54) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_167])]) ).
tff(f3958,plain,
( ~ $less(sF54,0)
| ~ spl56_167 ),
inference(interpreted_simplification,[],[f3957]) ).
tff(f3957,plain,
( ~ $less(sF54,0)
| $less(0,0)
| ~ spl56_167 ),
inference(instantiation,[],[f3955]) ).
tff(f3955,plain,
( ! [X1: $int] :
( ~ $less(sF54,X1)
| $less(0,X1) )
| ~ spl56_167 ),
inference(resolution,[],[f2109,f121]) ).
tff(f2109,plain,
( $less(0,sF54)
| ~ spl56_167 ),
inference(avatar_component_clause,[],[f2108]) ).
tff(f3953,plain,
( spl56_161
| spl56_311
| ~ spl56_57
| spl56_99 ),
inference(avatar_split_clause,[],[f3939,f1275,f874,f3950,f2057]) ).
tff(f3950,plain,
( spl56_311
<=> ( k = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_311])]) ).
tff(f874,plain,
( spl56_57
<=> $less(sK6,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_57])]) ).
tff(f1275,plain,
( spl56_99
<=> $less(sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_99])]) ).
tff(f3939,plain,
( ( k = sK9 )
| $less(sK9,k)
| ~ spl56_57
| spl56_99 ),
inference(resolution,[],[f1028,f1277]) ).
tff(f1277,plain,
( ~ $less(sK6,sK9)
| spl56_99 ),
inference(avatar_component_clause,[],[f1275]) ).
tff(f1028,plain,
( ! [X0: $int] :
( $less(sK6,X0)
| $less(X0,k)
| ( k = X0 ) )
| ~ spl56_57 ),
inference(resolution,[],[f1027,f122]) ).
tff(f1027,plain,
( ! [X0: $int] :
( ~ $less(k,X0)
| $less(sK6,X0) )
| ~ spl56_57 ),
inference(resolution,[],[f876,f121]) ).
tff(f876,plain,
( $less(sK6,k)
| ~ spl56_57 ),
inference(avatar_component_clause,[],[f874]) ).
tff(f3948,plain,
( spl56_310
| spl56_302
| ~ spl56_57
| spl56_100 ),
inference(avatar_split_clause,[],[f3938,f1281,f874,f3799,f3945]) ).
tff(f3945,plain,
( spl56_310
<=> ( k = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_310])]) ).
tff(f3799,plain,
( spl56_302
<=> $less(sK7,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_302])]) ).
tff(f1281,plain,
( spl56_100
<=> $less(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_100])]) ).
tff(f3938,plain,
( $less(sK7,k)
| ( k = sK7 )
| ~ spl56_57
| spl56_100 ),
inference(resolution,[],[f1028,f1283]) ).
tff(f1283,plain,
( ~ $less(sK6,sK7)
| spl56_100 ),
inference(avatar_component_clause,[],[f1281]) ).
tff(f3932,plain,
( spl56_261
| ~ spl56_114
| ~ spl56_134 ),
inference(avatar_split_clause,[],[f3930,f1606,f1415,f3190]) ).
tff(f3190,plain,
( spl56_261
<=> $less(sK13,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_261])]) ).
tff(f1415,plain,
( spl56_114
<=> $less(sK13,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_114])]) ).
tff(f1606,plain,
( spl56_134
<=> $less(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_134])]) ).
tff(f3930,plain,
( $less(sK13,sK6)
| ~ spl56_114
| ~ spl56_134 ),
inference(resolution,[],[f3929,f1608]) ).
tff(f1608,plain,
( $less(sK7,sK6)
| ~ spl56_134 ),
inference(avatar_component_clause,[],[f1606]) ).
tff(f3929,plain,
( ! [X1: $int] :
( ~ $less(sK7,X1)
| $less(sK13,X1) )
| ~ spl56_114 ),
inference(resolution,[],[f1416,f121]) ).
tff(f1416,plain,
( $less(sK13,sK7)
| ~ spl56_114 ),
inference(avatar_component_clause,[],[f1415]) ).
tff(f3926,plain,
( ~ spl56_139
| ~ spl56_113 ),
inference(avatar_split_clause,[],[f3918,f1409,f1639]) ).
tff(f1639,plain,
( spl56_139
<=> $less(sK9,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_139])]) ).
tff(f3918,plain,
( ~ $less(sK9,sK13)
| ~ spl56_113 ),
inference(resolution,[],[f3906,f120]) ).
tff(f120,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f3925,plain,
( spl56_272
| spl56_11
| ~ spl56_36
| ~ spl56_113
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f3924,f1545,f1409,f768,f640,f3289]) ).
tff(f3289,plain,
( spl56_272
<=> ( num_of(tb2t3(tuple21(sF24,int,sF32,sF43)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_272])]) ).
tff(f640,plain,
( spl56_11
<=> $less(sK13,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_11])]) ).
tff(f768,plain,
( spl56_36
<=> ( t2tb(sK13) = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_36])]) ).
tff(f1545,plain,
( spl56_128
<=> $less(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_128])]) ).
tff(f3924,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF43)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_113
| ~ spl56_128 ),
inference(forward_demodulation,[],[f3923,f770]) ).
tff(f770,plain,
( ( t2tb(sK13) = sF43 )
| ~ spl56_36 ),
inference(avatar_component_clause,[],[f768]) ).
tff(f3923,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK13))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK13))),0,sK7) )
| spl56_11
| ~ spl56_113
| ~ spl56_128 ),
inference(subsumption_resolution,[],[f3922,f1547]) ).
tff(f1547,plain,
( $less(sK9,sK6)
| ~ spl56_128 ),
inference(avatar_component_clause,[],[f1545]) ).
tff(f3922,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK13))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK13))),0,sK7) )
| ~ $less(sK9,sK6)
| spl56_11
| ~ spl56_113 ),
inference(subsumption_resolution,[],[f3921,f642]) ).
tff(f642,plain,
( ~ $less(sK13,0)
| spl56_11 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f3921,plain,
( $less(sK13,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK13))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK13))),0,sK7) )
| ~ $less(sK9,sK6)
| ~ spl56_113 ),
inference(resolution,[],[f3906,f544]) ).
tff(f544,plain,
! [X7: $int] :
( ~ $less(X7,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(X7))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),0,sK2) )
| $less(X7,0) ),
inference(definition_folding,[],[f514,f543,f542,f534,f536,f535,f534]) ).
tff(f535,plain,
t2tb1(sK1) = sF25,
introduced(function_definition,[]) ).
tff(f536,plain,
sF26 = mk_array(int,sK2,sF25),
introduced(function_definition,[]) ).
tff(f534,plain,
array(int) = sF24,
introduced(function_definition,[]) ).
tff(f542,plain,
t2tb1(sK5) = sF31,
introduced(function_definition,[]) ).
tff(f543,plain,
sF32 = mk_array(int,sK2,sF31),
introduced(function_definition,[]) ).
tff(f514,plain,
! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X7))),0,sK7) )
| $less(X7,0)
| ~ $less(X7,sK6) ),
inference(definition_unfolding,[],[f410,f380]) ).
tff(f380,plain,
sK3 = sK2,
inference(cnf_transformation,[],[f297]) ).
tff(f297,plain,
( ~ $less($sum(sK2,$uminus(1)),0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK7 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK5)),t2tb(X7))),0,sK7) )
| $less(X7,0)
| ~ $less(X7,sK6) )
& sorted_sub(sK5,0,sK7)
& ~ $less(k,0)
& ~ $less(sK6,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),sK6)
& ~ $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,sK7) )
& ~ $less(sK6,0)
& $less(sK6,k)
& ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),1)
& ~ $less($sum(k,$uminus(1)),sK6)
& ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),sK8)
& ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(sK10),t2tb(sK9),t2tb(sK6))) = sK11 )
& ( $sum(sK9,1) = sK12 )
& ~ $less(sK13,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(sK13))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(sK13)))) )
& $less(sK13,sK12)
& ! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(X15))),0,sK9) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(sK10,0,sK9)
& ~ $less(sK3,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK9,$uminus(sK8)),1) )
& $less(sK9,sK3)
& ~ $less(sK9,0)
& ~ $less(sK8,1)
& ( $sum(sK8,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(sK6))),0,sK9) )
& ! [X16: $int] :
( ~ $less(X16,sK9)
| ( ~ $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X16))),0)
& ~ $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X16)))) )
| $less(X16,0) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(sK4),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK2,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0)
& ~ $less(k,0)
& ( sK3 = sK2 )
& k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))
& ~ $less(k,0)
& ~ $less(sK2,0)
& ~ $less(sK3,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f289,f296,f295,f294,f293,f292,f291,f290]) ).
tff(f290,plain,
( ? [X0: map_int_int,X1: $int,X2: $int] :
( ~ $less($sum(X1,$uminus(1)),0)
& ? [X3: map_int_int] :
( ? [X4: map_int_int,X5: $int,X6: $int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X5))),0,X1) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X7))),0,X1) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X9: $int,X10: $int,X11: map_int_int] :
( ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(X2,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X15))),0,X1) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X11)),t2tb(X15))),0,X10) ) )
& sorted_sub(X11,0,X10)
& ~ $less(X2,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X5))),0,X1) = $sum($sum(X10,$uminus(X9)),1) )
& $less(X10,X2)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X11)),t2tb(X5))),0,X10) = $sum(X9,$uminus(1)) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X17))),0,$sum($sum(X1,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0) )
& ~ $less(k,0)
& ( X1 = X2 )
& k_values(tb2t2(mk_array(int,X1,t2tb1(X0))))
& ~ $less(k,0)
& ~ $less(X1,0)
& ~ $less(X2,0) )
=> ( ~ $less($sum(sK2,$uminus(1)),0)
& ? [X3: map_int_int] :
( ? [X6: $int,X5: $int,X4: map_int_int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( $sum($sum(X10,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X5))),0,X10) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK2,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0) )
& ~ $less(k,0)
& ( sK3 = sK2 )
& k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))
& ~ $less(k,0)
& ~ $less(sK2,0)
& ~ $less(sK3,0) ) ),
introduced(choice_axiom,[]) ).
tff(f291,plain,
( ? [X3: map_int_int] :
( ? [X6: $int,X5: $int,X4: map_int_int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( $sum($sum(X10,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X5))),0,X10) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK2,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0) )
=> ( ? [X6: $int,X5: $int,X4: map_int_int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( $sum($sum(X10,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X5))),0,X10) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(sK4),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK2,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0) ) ),
introduced(choice_axiom,[]) ).
tff(f292,plain,
( ? [X6: $int,X5: $int,X4: map_int_int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( $sum($sum(X10,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X5))),0,sK2) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X5))),0,X10) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
=> ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK7 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK5)),t2tb(X7))),0,sK7) )
| $less(X7,0)
| ~ $less(X7,sK6) )
& sorted_sub(sK5,0,sK7)
& ~ $less(k,0)
& ~ $less(sK6,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),sK6)
& ~ $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,sK7) )
& ~ $less(sK6,0)
& $less(sK6,k)
& ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),1)
& ~ $less($sum(k,$uminus(1)),sK6)
& ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(sK6))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(X10,$uminus(X9)),1) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(sK6))),0,X10) = $sum(X9,$uminus(1)) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(sK6,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f293,plain,
( ? [X11: map_int_int,X10: $int,X9: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),X9)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(sK6))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(X15))),0,X10) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(X11,0,X10)
& ~ $less(sK3,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(X10,$uminus(X9)),1) )
& $less(X10,sK3)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(X11)),t2tb(sK6))),0,X10) = $sum(X9,$uminus(1)) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(sK6,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),sK8)
& ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(sK10),t2tb(sK9),t2tb(sK6))) = X12 )
& ? [X13: $int] :
( ( $sum(sK9,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(X15))),0,sK9) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) )
& sorted_sub(sK10,0,sK9)
& ~ $less(sK3,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK9,$uminus(sK8)),1) )
& $less(sK9,sK3)
& ~ $less(sK9,0)
& ~ $less(sK8,1)
& ( $sum(sK8,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(sK6))),0,sK9) )
& ! [X16: $int] :
( ~ $less(X16,sK9)
| ( ~ $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X16))),0)
& ~ $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X16)))) )
| $less(X16,0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f294,plain,
( ? [X12: map_int_int] :
( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(sK10),t2tb(sK9),t2tb(sK6))) = X12 )
& ? [X13: $int] :
( ( $sum(sK9,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
=> ( ~ $less(sK3,0)
& ( tb2t1(set(int,int,t2tb1(sK10),t2tb(sK9),t2tb(sK6))) = sK11 )
& ? [X13: $int] :
( ( $sum(sK9,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(X14)))) )
& $less(X14,X13) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f295,plain,
( ? [X13: $int] :
( ( $sum(sK9,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(X14)))) )
& $less(X14,X13) ) )
=> ( ( $sum(sK9,1) = sK12 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(X14)))) )
& $less(X14,sK12) ) ) ),
introduced(choice_axiom,[]) ).
tff(f296,plain,
( ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(X14))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(X14)))) )
& $less(X14,sK12) )
=> ( ~ $less(sK13,0)
& ( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(sK13))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(sK13)))) )
& $less(sK13,sK12) ) ),
introduced(choice_axiom,[]) ).
tff(f289,plain,
? [X0: map_int_int,X1: $int,X2: $int] :
( ~ $less($sum(X1,$uminus(1)),0)
& ? [X3: map_int_int] :
( ? [X4: map_int_int,X5: $int,X6: $int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X5))),0,X1) = X6 )
& ! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X4)),t2tb(X7))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X7))),0,X1) )
| $less(X7,0)
| ~ $less(X7,X5) )
& sorted_sub(X4,0,X6)
& ~ $less(k,0)
& ~ $less(X5,0)
& ! [X8: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X5)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,X6) )
& ~ $less(X5,0)
& $less(X5,k)
& ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),1)
& ~ $less($sum(k,$uminus(1)),X5)
& ? [X9: $int,X10: $int,X11: map_int_int] :
( ~ $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X9)
& ? [X12: map_int_int] :
( ~ $less(X2,0)
& ( tb2t1(set(int,int,t2tb1(X11),t2tb(X10),t2tb(X5))) = X12 )
& ? [X13: $int] :
( ( $sum(X10,1) = X13 )
& ? [X14: $int] :
( ~ $less(X14,0)
& ( $less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0)
| $less(X5,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))) )
& $less(X14,X13) ) ) )
& ! [X15: $int] :
( ~ $less(X15,X5)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X15))),0,X1) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X11)),t2tb(X15))),0,X10) ) )
& sorted_sub(X11,0,X10)
& ~ $less(X2,0)
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X5))),0,X1) = $sum($sum(X10,$uminus(X9)),1) )
& $less(X10,X2)
& ~ $less(X10,0)
& ~ $less(X9,1)
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X11)),t2tb(X5))),0,X10) = $sum(X9,$uminus(1)) )
& ! [X16: $int] :
( ~ $less(X16,X10)
| ( ~ $less(tb2t(get(int,int,t2tb1(X11),t2tb(X16))),0)
& ~ $less(X5,tb2t(get(int,int,t2tb1(X11),t2tb(X16)))) )
| $less(X16,0) ) ) )
& ! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X0)),t2tb(X17))),0,$sum($sum(X1,$uminus(1)),1)) )
| ~ $less(X17,k) )
& ~ $less($sum(k,$uminus(1)),0) )
& ~ $less(k,0)
& ( X1 = X2 )
& k_values(tb2t2(mk_array(int,X1,t2tb1(X0))))
& ~ $less(k,0)
& ~ $less(X1,0)
& ~ $less(X2,0) ),
inference(rectify,[],[f278]) ).
tff(f278,plain,
? [X2: map_int_int,X1: $int,X3: $int] :
( ~ $less($sum(X1,$uminus(1)),0)
& ? [X4: map_int_int] :
( ? [X7: map_int_int,X8: $int,X6: $int] :
( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) = X6 )
& ! [X9: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X7)),t2tb(X9))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X9))),0,X1) )
| $less(X9,0)
| ~ $less(X9,X8) )
& sorted_sub(X7,0,X6)
& ~ $less(k,0)
& ~ $less(X8,0)
& ! [X10: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8)
& ~ $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) )
| $less(X10,0)
| ~ $less(X10,X6) )
& ~ $less(X8,0)
& $less(X8,k)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1)
& ~ $less($sum(k,$uminus(1)),X8)
& ? [X11: $int,X13: $int,X12: map_int_int] :
( ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X11)
& ? [X16: map_int_int] :
( ~ $less(X3,0)
& ( tb2t1(set(int,int,t2tb1(X12),t2tb(X13),t2tb(X8))) = X16 )
& ? [X17: $int] :
( ( $sum(X13,1) = X17 )
& ? [X18: $int] :
( ~ $less(X18,0)
& ( $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)
| $less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) )
& $less(X18,X17) ) ) )
& ! [X14: $int] :
( ~ $less(X14,X8)
| $less(X14,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X14))),0,X13) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X14))),0,X1) ) )
& sorted_sub(X12,0,X13)
& ~ $less(X3,0)
& ( $sum($sum(X13,$uminus(X11)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) )
& $less(X13,X3)
& ~ $less(X13,0)
& ~ $less(X11,1)
& ( $sum(X11,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X8))),0,X13) )
& ! [X15: $int] :
( ~ $less(X15,X13)
| ( ~ $less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0)
& ~ $less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15)))) )
| $less(X15,0) ) ) )
& ! [X5: $int] :
( $less(X5,0)
| ( tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X5))),0,$sum($sum(X1,$uminus(1)),1)) )
| ~ $less(X5,k) )
& ~ $less($sum(k,$uminus(1)),0) )
& ~ $less(k,0)
& ( X1 = X3 )
& k_values(tb2t2(mk_array(int,X1,t2tb1(X2))))
& ~ $less(k,0)
& ~ $less(X1,0)
& ~ $less(X3,0) ),
inference(flattening,[],[f277]) ).
tff(f277,plain,
? [X1: $int,X2: map_int_int,X3: $int] :
( ? [X4: map_int_int] :
( ? [X6: $int,X8: $int,X7: map_int_int] :
( ? [X11: $int,X13: $int,X12: map_int_int] :
( ? [X16: map_int_int] :
( ? [X17: $int] :
( ? [X18: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)
| $less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) )
& $less(X18,X17)
& ~ $less(X18,0) )
& ( $sum(X13,1) = X17 ) )
& ~ $less(X3,0)
& ( tb2t1(set(int,int,t2tb1(X12),t2tb(X13),t2tb(X8))) = X16 ) )
& ~ $less(X3,0)
& $less(X13,X3)
& ~ $less(X13,0)
& ! [X15: $int] :
( ( ~ $less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0)
& ~ $less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15)))) )
| $less(X15,0)
| ~ $less(X15,X13) )
& ( $sum($sum(X13,$uminus(X11)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) )
& ( $sum(X11,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X8))),0,X13) )
& sorted_sub(X12,0,X13)
& ! [X14: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X14))),0,X13) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X14))),0,X1) )
| ~ $less(X14,X8)
| $less(X14,0) )
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X11)
& ~ $less(X11,1) )
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1)
& ~ $less(X8,0)
& ~ $less(k,0)
& $less(X8,k)
& ! [X10: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8)
& ~ $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) )
| $less(X10,0)
| ~ $less(X10,X6) )
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) = X6 )
& sorted_sub(X7,0,X6)
& ! [X9: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X7)),t2tb(X9))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X9))),0,X1) )
| ~ $less(X9,X8)
| $less(X9,0) )
& ~ $less($sum(k,$uminus(1)),X8)
& ~ $less(X8,0) )
& ~ $less($sum(k,$uminus(1)),0)
& ! [X5: $int] :
( ( tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X5))),0,$sum($sum(X1,$uminus(1)),1)) )
| $less(X5,0)
| ~ $less(X5,k) ) )
& ~ $less($sum(X1,$uminus(1)),0)
& ~ $less(k,0)
& ~ $less(k,0)
& ~ $less(X1,0)
& ( X1 = X3 )
& ~ $less(X3,0)
& k_values(tb2t2(mk_array(int,X1,t2tb1(X2)))) ),
inference(ennf_transformation,[],[f145]) ).
tff(f145,plain,
~ ! [X1: $int,X2: map_int_int,X3: $int] :
( ( ~ $less(X1,0)
& ( X1 = X3 )
& ~ $less(X3,0)
& k_values(tb2t2(mk_array(int,X1,t2tb1(X2)))) )
=> ( ~ $less(k,0)
=> ( ~ $less(k,0)
=> ( ~ $less($sum(X1,$uminus(1)),0)
=> ! [X4: map_int_int] :
( ! [X5: $int] :
( ( ~ $less(X5,0)
& $less(X5,k) )
=> ( tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X5))),0,$sum($sum(X1,$uminus(1)),1)) ) )
=> ( ~ $less($sum(k,$uminus(1)),0)
=> ! [X6: $int,X8: $int,X7: map_int_int] :
( ( ~ $less($sum(k,$uminus(1)),X8)
& ~ $less(X8,0) )
=> ( ( ! [X10: $int] :
( ( ~ $less(X10,0)
& $less(X10,X6) )
=> ( $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8)
& ~ $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) ) )
& ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) = X6 )
& sorted_sub(X7,0,X6)
& ! [X9: $int] :
( ( $less(X9,X8)
& ~ $less(X9,0) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X7)),t2tb(X9))),0,X6) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X9))),0,X1) ) ) )
=> ( ( ~ $less(X8,0)
& ~ $less(k,0)
& $less(X8,k) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1)
=> ! [X11: $int,X13: $int,X12: map_int_int] :
( ( ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X11)
& ~ $less(X11,1) )
=> ( ( ! [X15: $int] :
( ( ~ $less(X15,0)
& $less(X15,X13) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0)
& ~ $less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15)))) ) )
& ( $sum($sum(X13,$uminus(X11)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X8))),0,X1) )
& ( $sum(X11,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X8))),0,X13) )
& sorted_sub(X12,0,X13)
& ! [X14: $int] :
( ( $less(X14,X8)
& ~ $less(X14,0) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X12)),t2tb(X14))),0,X13) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X1,t2tb1(X2)),t2tb(X14))),0,X1) ) ) )
=> ( ( ~ $less(X3,0)
& $less(X13,X3)
& ~ $less(X13,0) )
=> ! [X16: map_int_int] :
( ( ~ $less(X3,0)
& ( tb2t1(set(int,int,t2tb1(X12),t2tb(X13),t2tb(X8))) = X16 ) )
=> ! [X17: $int] :
( ( $sum(X13,1) = X17 )
=> ! [X18: $int] :
( ( $less(X18,X17)
& ~ $less(X18,0) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)
& ~ $less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f93]) ).
tff(f93,plain,
~ ! [X12,X0: $int,X10: map_int_int,X8: $int] :
( ( ~ $less(X0,0)
& k_values(tb2t2(mk_array(int,X0,t2tb1(X10))))
& ~ $less(X8,0)
& ( X0 = X8 ) )
=> ( ~ $less(k,0)
=> ( ~ $less(k,0)
=> ( ~ $less($sum(X0,$uminus(1)),0)
=> ! [X22: map_int_int] :
( ! [X16: $int] :
( ( ~ $less(X16,0)
& $less(X16,k) )
=> ( tb2t(get(int,int,t2tb1(X22),t2tb(X16))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,$sum($sum(X0,$uminus(1)),1)) ) )
=> ( ~ $less($sum(k,$uminus(1)),0)
=> ! [X15: $int,X26: map_int_int,X16: $int] :
( ( ~ $less(X16,0)
& ~ $less($sum(k,$uminus(1)),X16) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = X15 )
& sorted_sub(X26,0,X15)
& ! [X28: $int] :
( ( ~ $less(X28,0)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X26)),t2tb(X28))),0,X15) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) ) )
& ! [X27: $int] :
( ( ~ $less(X27,0)
& $less(X27,X15) )
=> ( $less(tb2t(get(int,int,t2tb1(X26),t2tb(X27))),X16)
& ~ $less(tb2t(get(int,int,t2tb1(X26),t2tb(X27))),0) ) ) )
=> ( ( ~ $less(k,0)
& $less(X16,k)
& ~ $less(X16,0) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X22),t2tb(X16))),1)
=> ! [X14: $int,X30: map_int_int,X29: $int] :
( ( ~ $less(tb2t(get(int,int,t2tb1(X22),t2tb(X16))),X14)
& ~ $less(X14,1) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = $sum($sum(X29,$uminus(X14)),1) )
& ! [X28: $int] :
( ( ~ $less(X28,0)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X28))),0,X29) ) )
& ! [X27: $int] :
( ( $less(X27,X29)
& ~ $less(X27,0) )
=> ( ~ $less(X16,tb2t(get(int,int,t2tb1(X30),t2tb(X27))))
& ~ $less(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),0) ) )
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X16))),0,X29) = $sum(X14,$uminus(1)) )
& sorted_sub(X30,0,X29) )
=> ( ( $less(X29,X8)
& ~ $less(X29,0)
& ~ $less(X8,0) )
=> ! [X31: map_int_int] :
( ( ~ $less(X8,0)
& ( tb2t1(set(int,int,t2tb1(X30),t2tb(X29),t2tb(X16))) = X31 ) )
=> ! [X32: $int] :
( ( $sum(X29,1) = X32 )
=> ! [X27: $int] :
( ( $less(X27,X32)
& ~ $less(X27,0) )
=> ( ~ $less(X16,tb2t(get(int,int,t2tb1(X31),t2tb(X27))))
& ~ $less(tb2t(get(int,int,t2tb1(X31),t2tb(X27))),0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f86]) ).
tff(f86,negated_conjecture,
~ ! [X12: map_int_int,X0: $int,X10: map_int_int,X8: $int] :
( ( $lesseq(0,X0)
& k_values(tb2t2(mk_array(int,X0,t2tb1(X10))))
& $lesseq(0,X8)
& ( X0 = X8 ) )
=> ( $lesseq(0,k)
=> ( $lesseq(0,k)
=> ( $lesseq(0,$difference(X0,1))
=> ! [X22: map_int_int] :
( ! [X16: $int] :
( ( $lesseq(0,X16)
& $less(X16,k) )
=> ( tb2t(get(int,int,t2tb1(X22),t2tb(X16))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,$sum($difference(X0,1),1)) ) )
=> ( $lesseq(0,$difference(k,1))
=> ! [X15: $int,X26: map_int_int,X16: $int] :
( ( $lesseq(0,X16)
& $lesseq(X16,$difference(k,1)) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = X15 )
& sorted_sub(X26,0,X15)
& ! [X28: $int] :
( ( $lesseq(0,X28)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X26)),t2tb(X28))),0,X15) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) ) )
& ! [X27: $int] :
( ( $lesseq(0,X27)
& $less(X27,X15) )
=> ( $less(tb2t(get(int,int,t2tb1(X26),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X26),t2tb(X27)))) ) ) )
=> ( ( $lesseq(0,k)
& $less(X16,k)
& $lesseq(0,X16) )
=> ( $lesseq(1,tb2t(get(int,int,t2tb1(X22),t2tb(X16))))
=> ! [X14: $int,X30: map_int_int,X29: $int] :
( ( $lesseq(X14,tb2t(get(int,int,t2tb1(X22),t2tb(X16))))
& $lesseq(1,X14) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = $sum($difference(X29,X14),1) )
& ! [X28: $int] :
( ( $lesseq(0,X28)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X28))),0,X29) ) )
& ! [X27: $int] :
( ( $less(X27,X29)
& $lesseq(0,X27) )
=> ( $lesseq(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X30),t2tb(X27)))) ) )
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X16))),0,X29) = $difference(X14,1) )
& sorted_sub(X30,0,X29) )
=> ( ( $less(X29,X8)
& $lesseq(0,X29)
& $lesseq(0,X8) )
=> ! [X31: map_int_int] :
( ( $lesseq(0,X8)
& ( tb2t1(set(int,int,t2tb1(X30),t2tb(X29),t2tb(X16))) = X31 ) )
=> ! [X32: $int] :
( ( $sum(X29,1) = X32 )
=> ! [X27: $int] :
( ( $less(X27,X32)
& $lesseq(0,X27) )
=> ( $lesseq(tb2t(get(int,int,t2tb1(X31),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X31),t2tb(X27)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f85]) ).
tff(f85,conjecture,
! [X12: map_int_int,X0: $int,X10: map_int_int,X8: $int] :
( ( $lesseq(0,X0)
& k_values(tb2t2(mk_array(int,X0,t2tb1(X10))))
& $lesseq(0,X8)
& ( X0 = X8 ) )
=> ( $lesseq(0,k)
=> ( $lesseq(0,k)
=> ( $lesseq(0,$difference(X0,1))
=> ! [X22: map_int_int] :
( ! [X16: $int] :
( ( $lesseq(0,X16)
& $less(X16,k) )
=> ( tb2t(get(int,int,t2tb1(X22),t2tb(X16))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,$sum($difference(X0,1),1)) ) )
=> ( $lesseq(0,$difference(k,1))
=> ! [X15: $int,X26: map_int_int,X16: $int] :
( ( $lesseq(0,X16)
& $lesseq(X16,$difference(k,1)) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = X15 )
& sorted_sub(X26,0,X15)
& ! [X28: $int] :
( ( $lesseq(0,X28)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X26)),t2tb(X28))),0,X15) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) ) )
& ! [X27: $int] :
( ( $lesseq(0,X27)
& $less(X27,X15) )
=> ( $less(tb2t(get(int,int,t2tb1(X26),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X26),t2tb(X27)))) ) ) )
=> ( ( $lesseq(0,k)
& $less(X16,k)
& $lesseq(0,X16) )
=> ( $lesseq(1,tb2t(get(int,int,t2tb1(X22),t2tb(X16))))
=> ! [X14: $int,X30: map_int_int,X29: $int] :
( ( $lesseq(X14,tb2t(get(int,int,t2tb1(X22),t2tb(X16))))
& $lesseq(1,X14) )
=> ( ( ( num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X16))),0,X0) = $sum($difference(X29,X14),1) )
& ! [X28: $int] :
( ( $lesseq(0,X28)
& $less(X28,X16) )
=> ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X10)),t2tb(X28))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X28))),0,X29) ) )
& ! [X27: $int] :
( ( $less(X27,X29)
& $lesseq(0,X27) )
=> ( $lesseq(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X30),t2tb(X27)))) ) )
& ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,X8,t2tb1(X30)),t2tb(X16))),0,X29) = $difference(X14,1) )
& sorted_sub(X30,0,X29) )
=> ( ( $less(X29,X8)
& $lesseq(0,X29)
& $lesseq(0,X8) )
=> ! [X31: map_int_int] :
( ( $lesseq(0,X8)
& ( tb2t1(set(int,int,t2tb1(X30),t2tb(X29),t2tb(X16))) = X31 ) )
=> ! [X32: $int] :
( ( $sum(X29,1) = X32 )
=> ! [X27: $int] :
( ( $less(X27,X32)
& $lesseq(0,X27) )
=> ( $lesseq(tb2t(get(int,int,t2tb1(X31),t2tb(X27))),X16)
& $lesseq(0,tb2t(get(int,int,t2tb1(X31),t2tb(X27)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_counting_sort) ).
tff(f410,plain,
! [X7: $int] :
( ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X7))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK5)),t2tb(X7))),0,sK7) )
| $less(X7,0)
| ~ $less(X7,sK6) ),
inference(cnf_transformation,[],[f297]) ).
tff(f3903,plain,
( spl56_290
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3891,f3149,f1144,f665,f3661]) ).
tff(f3661,plain,
( spl56_290
<=> ! [X4: $int] :
( $less(0,X4)
| $less(X4,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_290])]) ).
tff(f665,plain,
( spl56_16
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_16])]) ).
tff(f1144,plain,
( spl56_89
<=> $less(0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_89])]) ).
tff(f3149,plain,
( spl56_253
<=> ( num_of1(sF29,0,sK2) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_253])]) ).
tff(f3891,plain,
( ! [X18: $int] :
( $less(X18,sK2)
| $less(0,X18) )
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(resolution,[],[f3874,f120]) ).
tff(f3874,plain,
( ! [X90: $int,X89: $int] :
( $less(0,X90)
| $less(X89,sK2)
| $less(X90,X89) )
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3863,f1145]) ).
tff(f1145,plain,
( $less(0,sK7)
| ~ spl56_89 ),
inference(avatar_component_clause,[],[f1144]) ).
tff(f3863,plain,
( ! [X90: $int,X89: $int] :
( ~ $less(0,sK7)
| $less(X90,X89)
| $less(X89,sK2)
| $less(0,X90) )
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3683,f3580]) ).
tff(f3580,plain,
! [X2: $int,X3: lparray_intcm_intrp,X0: $int,X1: $int] :
( ( 0 = num_of1(X3,X0,X2) )
| $less(X0,X1)
| $less(X1,X2) ),
inference(subsumption_resolution,[],[f3566,f3397]) ).
tff(f3397,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of1(X0,X1,X2) )
| ~ $less(X2,X1) ),
inference(duplicate_literal_removal,[],[f3392]) ).
tff(f3392,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of1(X0,X1,X2) )
| ~ $less(X2,X1)
| ( 0 = num_of1(X0,X1,X2) ) ),
inference(resolution,[],[f1059,f445]) ).
tff(f445,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ~ $less(sK16(X0,X1,X2),X2)
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f320]) ).
tff(f320,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ( 0 = num_of1(X1,X2,X0) )
| ( $less(sK16(X0,X1,X2),X0)
& ~ $less(sK16(X0,X1,X2),X2)
& lt(X1,sK16(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f241,f319]) ).
tff(f319,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X2)
& lt(X1,X3) )
=> ( $less(sK16(X0,X1,X2),X0)
& ~ $less(sK16(X0,X1,X2),X2)
& lt(X1,sK16(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f241,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ( 0 = num_of1(X1,X2,X0) )
| ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X2)
& lt(X1,X3) ) ),
inference(flattening,[],[f240]) ).
tff(f240,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ( 0 = num_of1(X1,X2,X0) )
| ? [X3: $int] :
( lt(X1,X3)
& ~ $less(X3,X2)
& $less(X3,X0) ) ),
inference(ennf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ! [X3: $int] :
( ( ~ $less(X3,X2)
& $less(X3,X0) )
=> ~ lt(X1,X3) )
=> ( 0 = num_of1(X1,X2,X0) ) ),
inference(rectify,[],[f101]) ).
tff(f101,plain,
! [X8: $int,X21: lparray_intcm_intrp,X0: $int] :
( ! [X17: $int] :
( ( $less(X17,X8)
& ~ $less(X17,X0) )
=> ~ lt(X21,X17) )
=> ( 0 = num_of1(X21,X0,X8) ) ),
inference(theory_normalization,[],[f72]) ).
tff(f72,axiom,
! [X8: $int,X21: lparray_intcm_intrp,X0: $int] :
( ! [X17: $int] :
( ( $less(X17,X8)
& $lesseq(X0,X17) )
=> ~ lt(X21,X17) )
=> ( 0 = num_of1(X21,X0,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty1) ).
tff(f1059,plain,
! [X2: lparray_intcm_intrp,X3: $int,X4: $int,X5: $int] :
( $less(sK16(X4,X2,X3),X5)
| ( 0 = num_of1(X2,X3,X4) )
| ~ $less(X4,X5) ),
inference(resolution,[],[f446,f121]) ).
tff(f446,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( $less(sK16(X0,X1,X2),X0)
| ( 0 = num_of1(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f320]) ).
tff(f3566,plain,
! [X2: $int,X3: lparray_intcm_intrp,X0: $int,X1: $int] :
( ( 0 = num_of1(X3,X0,X2) )
| $less(X1,X2)
| $less(X0,X1)
| $less(X2,X0) ),
inference(resolution,[],[f1221,f1005]) ).
tff(f1005,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( $less(0,num_of1(X2,X0,X1))
| ( 0 = num_of1(X2,X0,X1) ) ),
inference(subsumption_resolution,[],[f1003,f437]) ).
tff(f437,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of1(X0,X2,X1) )
| $less(X2,X1) ),
inference(cnf_transformation,[],[f313]) ).
tff(f313,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( $less(X2,X1)
| ( 0 = num_of1(X0,X2,X1) ) ),
inference(rectify,[],[f252]) ).
tff(f252,plain,
! [X0: lparray_intcm_intrp,X2: $int,X1: $int] :
( $less(X1,X2)
| ( 0 = num_of1(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ~ $less(X1,X2)
=> ( 0 = num_of1(X0,X1,X2) ) ),
inference(rectify,[],[f97]) ).
tff(f97,plain,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( ~ $less(X0,X8)
=> ( 0 = num_of1(X21,X0,X8) ) ),
inference(theory_normalization,[],[f65]) ).
tff(f65,axiom,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $lesseq(X8,X0)
=> ( 0 = num_of1(X21,X0,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_empty1) ).
tff(f1003,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(0,num_of1(X2,X0,X1))
| ( 0 = num_of1(X2,X0,X1) ) ),
inference(resolution,[],[f483,f122]) ).
tff(f483,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ~ $less(num_of1(X2,X0,X1),0)
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f347]) ).
tff(f347,plain,
! [X0: $int,X1: $int,X2: lparray_intcm_intrp] :
( ( ~ $less($sum(X1,$uminus(X0)),num_of1(X2,X0,X1))
& ~ $less(num_of1(X2,X0,X1),0) )
| ~ $less(X0,X1) ),
inference(rectify,[],[f270]) ).
tff(f270,plain,
! [X0: $int,X2: $int,X1: lparray_intcm_intrp] :
( ( ~ $less($sum(X2,$uminus(X0)),num_of1(X1,X0,X2))
& ~ $less(num_of1(X1,X0,X2),0) )
| ~ $less(X0,X2) ),
inference(ennf_transformation,[],[f203]) ).
tff(f203,plain,
! [X1: lparray_intcm_intrp,X0: $int,X2: $int] :
( $less(X0,X2)
=> ( ~ $less($sum(X2,$uminus(X0)),num_of1(X1,X0,X2))
& ~ $less(num_of1(X1,X0,X2),0) ) ),
inference(rectify,[],[f112]) ).
tff(f112,plain,
! [X0: $int,X21: lparray_intcm_intrp,X8: $int] :
( $less(X0,X8)
=> ( ~ $less($sum(X8,$uminus(X0)),num_of1(X21,X0,X8))
& ~ $less(num_of1(X21,X0,X8),0) ) ),
inference(theory_normalization,[],[f68]) ).
tff(f68,axiom,
! [X0: $int,X21: lparray_intcm_intrp,X8: $int] :
( $less(X0,X8)
=> ( $lesseq(num_of1(X21,X0,X8),$difference(X8,X0))
& $lesseq(0,num_of1(X21,X0,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_bounds1) ).
tff(f1221,plain,
! [X2: $int,X3: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(0,num_of1(X0,X1,X3))
| $less(X1,X2)
| $less(X3,X1)
| $less(X2,X3) ),
inference(superposition,[],[f496,f437]) ).
tff(f496,plain,
! [X2: $int,X3: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(num_of1(X0,X3,X1),num_of1(X0,X3,X2))
| $less(X1,X2)
| $less(X2,X3) ),
inference(cnf_transformation,[],[f356]) ).
tff(f356,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int,X3: $int] :
( ~ $less(num_of1(X0,X3,X1),num_of1(X0,X3,X2))
| $less(X1,X2)
| $less(X2,X3) ),
inference(rectify,[],[f266]) ).
tff(f266,plain,
! [X1: lparray_intcm_intrp,X2: $int,X0: $int,X3: $int] :
( ~ $less(num_of1(X1,X3,X2),num_of1(X1,X3,X0))
| $less(X2,X0)
| $less(X0,X3) ),
inference(flattening,[],[f265]) ).
tff(f265,plain,
! [X0: $int,X3: $int,X2: $int,X1: lparray_intcm_intrp] :
( ~ $less(num_of1(X1,X3,X2),num_of1(X1,X3,X0))
| $less(X0,X3)
| $less(X2,X0) ),
inference(ennf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: $int,X3: $int,X2: $int,X1: lparray_intcm_intrp] :
( ( ~ $less(X0,X3)
& ~ $less(X2,X0) )
=> ~ $less(num_of1(X1,X3,X2),num_of1(X1,X3,X0)) ),
inference(rectify,[],[f102]) ).
tff(f102,plain,
! [X15: $int,X21: lparray_intcm_intrp,X23: $int,X14: $int] :
( ( ~ $less(X23,X15)
& ~ $less(X15,X14) )
=> ~ $less(num_of1(X21,X14,X23),num_of1(X21,X14,X15)) ),
inference(theory_normalization,[],[f74]) ).
tff(f74,axiom,
! [X15: $int,X21: lparray_intcm_intrp,X23: $int,X14: $int] :
( ( $lesseq(X15,X23)
& $lesseq(X14,X15) )
=> $lesseq(num_of1(X21,X14,X15),num_of1(X21,X14,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_increasing1) ).
tff(f3683,plain,
( ! [X3: $int] :
( ~ $less(num_of1(sF29,0,X3),sK7)
| $less(X3,sK2) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3651,f667]) ).
tff(f667,plain,
( ~ $less(sK2,0)
| spl56_16 ),
inference(avatar_component_clause,[],[f665]) ).
tff(f3651,plain,
( ! [X3: $int] :
( $less(sK2,0)
| $less(X3,sK2)
| ~ $less(num_of1(sF29,0,X3),sK7) )
| ~ spl56_253 ),
inference(superposition,[],[f496,f3151]) ).
tff(f3151,plain,
( ( num_of1(sF29,0,sK2) = sK7 )
| ~ spl56_253 ),
inference(avatar_component_clause,[],[f3149]) ).
tff(f3902,plain,
( spl56_270
| spl56_309
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3898,f3149,f1144,f665,f3900,f3275]) ).
tff(f3275,plain,
( spl56_270
<=> ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_270])]) ).
tff(f3900,plain,
( spl56_309
<=> ! [X25: $int] :
( $less(X25,sK2)
| $less(sK6,X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_309])]) ).
tff(f3898,plain,
( ! [X25: $int] :
( $less(X25,sK2)
| $less(sK6,X25)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) )
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(evaluation,[],[f3894]) ).
tff(f3894,plain,
( ! [X25: $int] :
( $less(X25,sK2)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| $less(0,0)
| $less(sK6,X25) )
| spl56_16
| ~ spl56_89
| ~ spl56_253 ),
inference(resolution,[],[f3874,f544]) ).
tff(f3884,plain,
( spl56_307
| ~ spl56_308
| ~ spl56_30
| ~ spl56_83 ),
inference(avatar_split_clause,[],[f3857,f1053,f738,f3881,f3878]) ).
tff(f3878,plain,
( spl56_307
<=> ! [X80: $int] :
( $less(sK8,X80)
| $less(X80,sF35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_307])]) ).
tff(f3881,plain,
( spl56_308
<=> $less($sum(sF35,sF47),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_308])]) ).
tff(f738,plain,
( spl56_30
<=> ( $uminus(sK8) = sF47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_30])]) ).
tff(f1053,plain,
( spl56_83
<=> $less(sK8,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_83])]) ).
tff(f3857,plain,
( ! [X80: $int] :
( ~ $less($sum(sF35,sF47),0)
| $less(sK8,X80)
| $less(X80,sF35) )
| ~ spl56_30
| ~ spl56_83 ),
inference(superposition,[],[f1521,f3580]) ).
tff(f1521,plain,
( ! [X0: lparray_intcm_intrp] : ~ $less($sum(sF35,sF47),num_of1(X0,sK8,sF35))
| ~ spl56_30
| ~ spl56_83 ),
inference(resolution,[],[f1055,f1328]) ).
tff(f1328,plain,
( ! [X2: $int,X3: lparray_intcm_intrp] :
( ~ $less(sK8,X2)
| ~ $less($sum(X2,sF47),num_of1(X3,sK8,X2)) )
| ~ spl56_30 ),
inference(superposition,[],[f484,f740]) ).
tff(f740,plain,
( ( $uminus(sK8) = sF47 )
| ~ spl56_30 ),
inference(avatar_component_clause,[],[f738]) ).
tff(f484,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ~ $less($sum(X1,$uminus(X0)),num_of1(X2,X0,X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f347]) ).
tff(f1055,plain,
( $less(sK8,sF35)
| ~ spl56_83 ),
inference(avatar_component_clause,[],[f1053]) ).
tff(f3876,plain,
( spl56_292
| spl56_290
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3860,f3149,f3661,f3679]) ).
tff(f3679,plain,
( spl56_292
<=> ( 0 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_292])]) ).
tff(f3860,plain,
( ! [X85: $int] :
( $less(0,X85)
| ( 0 = sK7 )
| $less(X85,sK2) )
| ~ spl56_253 ),
inference(superposition,[],[f3151,f3580]) ).
tff(f3875,plain,
( ~ spl56_79
| spl56_290
| spl56_215 ),
inference(avatar_split_clause,[],[f3861,f2650,f3661,f1023]) ).
tff(f1023,plain,
( spl56_79
<=> ( 0 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_79])]) ).
tff(f2650,plain,
( spl56_215
<=> ( sK9 = num_of1(sF29,0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_215])]) ).
tff(f3861,plain,
( ! [X86: $int] :
( $less(X86,sK2)
| ( 0 != sK9 )
| $less(0,X86) )
| spl56_215 ),
inference(superposition,[],[f2651,f3580]) ).
tff(f2651,plain,
( ( sK9 != num_of1(sF29,0,sK2) )
| spl56_215 ),
inference(avatar_component_clause,[],[f2650]) ).
tff(f3873,plain,
( ~ spl56_257
| spl56_306
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3862,f3149,f3871,f3170]) ).
tff(f3170,plain,
( spl56_257
<=> $less(sK7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_257])]) ).
tff(f3871,plain,
( spl56_306
<=> ! [X87: $int,X88: $int] :
( $less(0,X88)
| $less(sK2,X87)
| $less(X87,0)
| $less(X88,X87) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_306])]) ).
tff(f3862,plain,
( ! [X88: $int,X87: $int] :
( $less(0,X88)
| $less(X88,X87)
| ~ $less(sK7,0)
| $less(X87,0)
| $less(sK2,X87) )
| ~ spl56_253 ),
inference(superposition,[],[f3650,f3580]) ).
tff(f3650,plain,
( ! [X2: $int] :
( ~ $less(sK7,num_of1(sF29,0,X2))
| $less(sK2,X2)
| $less(X2,0) )
| ~ spl56_253 ),
inference(superposition,[],[f496,f3151]) ).
tff(f3869,plain,
( spl56_292
| spl56_290
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3837,f3149,f3661,f3679]) ).
tff(f3837,plain,
( ! [X17: $int] :
( $less(0,X17)
| ( 0 = sK7 )
| $less(X17,sK2) )
| ~ spl56_253 ),
inference(superposition,[],[f3580,f3151]) ).
tff(f3827,plain,
( spl56_305
| spl56_156
| ~ spl56_55
| ~ spl56_262 ),
inference(avatar_split_clause,[],[f3819,f3198,f864,f1933,f3823]) ).
tff(f3823,plain,
( spl56_305
<=> ( get(int,int,sF37,sF43) = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_305])]) ).
tff(f1933,plain,
( spl56_156
<=> ( sF38 = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_156])]) ).
tff(f864,plain,
( spl56_55
<=> ( set(int,int,sF37,sF38,sF27) = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_55])]) ).
tff(f3198,plain,
( spl56_262
<=> ( get(int,int,sF39,sF43) = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_262])]) ).
tff(f3819,plain,
( ( sF38 = sF43 )
| ( get(int,int,sF37,sF43) = sF44 )
| ~ spl56_55
| ~ spl56_262 ),
inference(superposition,[],[f3812,f3200]) ).
tff(f3200,plain,
( ( get(int,int,sF39,sF43) = sF44 )
| ~ spl56_262 ),
inference(avatar_component_clause,[],[f3198]) ).
tff(f3812,plain,
( ! [X0: uni] :
( ( get(int,int,sF37,X0) = get(int,int,sF39,X0) )
| ( sF38 = X0 ) )
| ~ spl56_55 ),
inference(subsumption_resolution,[],[f3811,f894]) ).
tff(f894,plain,
! [X0: uni] : sort(int,X0),
inference(superposition,[],[f421,f374]) ).
tff(f374,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).
tff(f421,plain,
! [X0: $int] : sort(int,t2tb(X0)),
inference(cnf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: $int] : sort(int,t2tb(X0)),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X1: $int] : sort(int,t2tb(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort) ).
tff(f3811,plain,
( ! [X0: uni] :
( ( sF38 = X0 )
| ~ sort(int,sF38)
| ( get(int,int,sF37,X0) = get(int,int,sF39,X0) ) )
| ~ spl56_55 ),
inference(subsumption_resolution,[],[f3808,f894]) ).
tff(f3808,plain,
( ! [X0: uni] :
( ( sF38 = X0 )
| ~ sort(int,X0)
| ~ sort(int,sF38)
| ( get(int,int,sF37,X0) = get(int,int,sF39,X0) ) )
| ~ spl56_55 ),
inference(superposition,[],[f415,f866]) ).
tff(f866,plain,
( ( set(int,int,sF37,sF38,sF27) = sF39 )
| ~ spl56_55 ),
inference(avatar_component_clause,[],[f864]) ).
tff(f415,plain,
! [X2: uni,X3: ty,X0: ty,X1: uni,X4: uni,X5: uni] :
( ( get(X0,X3,X2,X1) = get(X0,X3,set(X0,X3,X2,X4,X5),X1) )
| ~ sort(X3,X4)
| ~ sort(X3,X1)
| ( X1 = X4 ) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: ty,X1: uni,X2: uni,X3: ty,X4: uni] :
( ~ sort(X3,X4)
| ~ sort(X3,X1)
| ! [X5: uni] :
( ( X1 = X4 )
| ( get(X0,X3,X2,X1) = get(X0,X3,set(X0,X3,X2,X4,X5),X1) ) ) ),
inference(rectify,[],[f225]) ).
tff(f225,plain,
! [X2: ty,X3: uni,X1: uni,X4: ty,X0: uni] :
( ~ sort(X4,X0)
| ~ sort(X4,X3)
| ! [X5: uni] :
( ( X0 = X3 )
| ( get(X2,X4,set(X2,X4,X1,X0,X5),X3) = get(X2,X4,X1,X3) ) ) ),
inference(flattening,[],[f224]) ).
tff(f224,plain,
! [X3: uni,X1: uni,X0: uni,X2: ty,X4: ty] :
( ! [X5: uni] :
( ( X0 = X3 )
| ( get(X2,X4,set(X2,X4,X1,X0,X5),X3) = get(X2,X4,X1,X3) ) )
| ~ sort(X4,X3)
| ~ sort(X4,X0) ),
inference(ennf_transformation,[],[f183]) ).
tff(f183,plain,
! [X3: uni,X1: uni,X0: uni,X2: ty,X4: ty] :
( sort(X4,X0)
=> ( sort(X4,X3)
=> ! [X5: uni] :
( ( X0 != X3 )
=> ( get(X2,X4,set(X2,X4,X1,X0,X5),X3) = get(X2,X4,X1,X3) ) ) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X10: uni,X9: uni,X8: ty,X11: uni,X0: ty] :
( sort(X0,X10)
=> ( sort(X0,X11)
=> ! [X12: uni] :
( ( X10 != X11 )
=> ( get(X8,X0,set(X8,X0,X9,X10,X12),X11) = get(X8,X0,X9,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq) ).
tff(f3826,plain,
( spl56_156
| spl56_305
| ~ spl56_55
| ~ spl56_262 ),
inference(avatar_split_clause,[],[f3820,f3198,f864,f3823,f1933]) ).
tff(f3820,plain,
( ( get(int,int,sF37,sF43) = sF44 )
| ( sF38 = sF43 )
| ~ spl56_55
| ~ spl56_262 ),
inference(superposition,[],[f3200,f3812]) ).
tff(f3818,plain,
( spl56_304
| ~ spl56_55 ),
inference(avatar_split_clause,[],[f3813,f864,f3815]) ).
tff(f3815,plain,
( spl56_304
<=> ( get(int,int,sF39,sF38) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_304])]) ).
tff(f3813,plain,
( ( get(int,int,sF39,sF38) = sF27 )
| ~ spl56_55 ),
inference(subsumption_resolution,[],[f3809,f894]) ).
tff(f3809,plain,
( ( get(int,int,sF39,sF38) = sF27 )
| ~ sort(int,sF27)
| ~ spl56_55 ),
inference(superposition,[],[f530,f866]) ).
tff(f530,plain,
! [X2: uni,X3: uni,X1: ty,X4: ty,X5: uni] :
( ( get(X1,X4,set(X1,X4,X2,X3,X5),X3) = X5 )
| ~ sort(X1,X5) ),
inference(equality_resolution,[],[f422]) ).
tff(f422,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty,X4: ty,X5: uni] :
( ( get(X1,X4,set(X1,X4,X2,X0,X5),X3) = X5 )
| ~ sort(X1,X5)
| ( X0 != X3 ) ),
inference(cnf_transformation,[],[f302]) ).
tff(f302,plain,
! [X0: uni,X1: ty,X2: uni,X3: uni,X4: ty,X5: uni] :
( ( get(X1,X4,set(X1,X4,X2,X0,X5),X3) = X5 )
| ~ sort(X1,X5)
| ( X0 != X3 ) ),
inference(rectify,[],[f264]) ).
tff(f264,plain,
! [X3: uni,X2: ty,X1: uni,X0: uni,X5: ty,X4: uni] :
( ( get(X2,X5,set(X2,X5,X1,X3,X4),X0) = X4 )
| ~ sort(X2,X4)
| ( X0 != X3 ) ),
inference(flattening,[],[f263]) ).
tff(f263,plain,
! [X1: uni,X3: uni,X5: ty,X2: ty,X4: uni,X0: uni] :
( ( get(X2,X5,set(X2,X5,X1,X3,X4),X0) = X4 )
| ( X0 != X3 )
| ~ sort(X2,X4) ),
inference(ennf_transformation,[],[f192]) ).
tff(f192,plain,
! [X1: uni,X3: uni,X5: ty,X2: ty,X4: uni,X0: uni] :
( sort(X2,X4)
=> ( ( X0 = X3 )
=> ( get(X2,X5,set(X2,X5,X1,X3,X4),X0) = X4 ) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X11: uni,X9: uni,X8: ty,X10: uni,X12: uni,X0: ty] :
( sort(X8,X12)
=> ( ( X10 = X11 )
=> ( get(X8,X0,set(X8,X0,X9,X10,X12),X11) = X12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq) ).
tff(f3807,plain,
( spl56_303
| ~ spl56_63
| ~ spl56_134 ),
inference(avatar_split_clause,[],[f3790,f1606,f923,f3804]) ).
tff(f3804,plain,
( spl56_303
<=> $less(sK7,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_303])]) ).
tff(f923,plain,
( spl56_63
<=> $less(sK6,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_63])]) ).
tff(f3790,plain,
( $less(sK7,sF36)
| ~ spl56_63
| ~ spl56_134 ),
inference(resolution,[],[f1875,f925]) ).
tff(f925,plain,
( $less(sK6,sF36)
| ~ spl56_63 ),
inference(avatar_component_clause,[],[f923]) ).
tff(f1875,plain,
( ! [X0: $int] :
( ~ $less(sK6,X0)
| $less(sK7,X0) )
| ~ spl56_134 ),
inference(resolution,[],[f1608,f121]) ).
tff(f3802,plain,
( spl56_302
| ~ spl56_57
| ~ spl56_134 ),
inference(avatar_split_clause,[],[f3789,f1606,f874,f3799]) ).
tff(f3789,plain,
( $less(sK7,k)
| ~ spl56_57
| ~ spl56_134 ),
inference(resolution,[],[f1875,f876]) ).
tff(f3797,plain,
( spl56_301
| ~ spl56_43
| ~ spl56_134 ),
inference(avatar_split_clause,[],[f3791,f1606,f802,f3794]) ).
tff(f3794,plain,
( spl56_301
<=> $less(sK7,sF45) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_301])]) ).
tff(f802,plain,
( spl56_43
<=> $less(sK6,sF45) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_43])]) ).
tff(f3791,plain,
( $less(sK7,sF45)
| ~ spl56_43
| ~ spl56_134 ),
inference(resolution,[],[f1875,f804]) ).
tff(f804,plain,
( $less(sK6,sF45)
| ~ spl56_43 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f3787,plain,
( spl56_300
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3782,f3149,f665,f3784]) ).
tff(f3784,plain,
( spl56_300
<=> ( sK7 = $sum(sK7,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_300])]) ).
tff(f3782,plain,
( ( sK7 = $sum(sK7,0) )
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3781,f3151]) ).
tff(f3781,plain,
( ( num_of1(sF29,0,sK2) = $sum(sK7,0) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3780,f120]) ).
tff(f3780,plain,
( ( num_of1(sF29,0,sK2) = $sum(sK7,0) )
| $less(sK2,sK2)
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3667,f1060]) ).
tff(f1060,plain,
! [X0: lparray_intcm_intrp,X1: $int] : ( 0 = num_of1(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f1058]) ).
tff(f1058,plain,
! [X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of1(X0,X1,X1) )
| ( 0 = num_of1(X0,X1,X1) ) ),
inference(resolution,[],[f446,f445]) ).
tff(f3667,plain,
( ! [X0: $int] :
( ( num_of1(sF29,0,X0) = $sum(sK7,num_of1(sF29,sK2,X0)) )
| $less(X0,sK2) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3646,f667]) ).
tff(f3646,plain,
( ! [X0: $int] :
( ( num_of1(sF29,0,X0) = $sum(sK7,num_of1(sF29,sK2,X0)) )
| $less(sK2,0)
| $less(X0,sK2) )
| ~ spl56_253 ),
inference(superposition,[],[f472,f3151]) ).
tff(f472,plain,
! [X2: $int,X3: $int,X0: $int,X1: lparray_intcm_intrp] :
( ( $sum(num_of1(X1,X0,X3),num_of1(X1,X3,X2)) = num_of1(X1,X0,X2) )
| $less(X2,X3)
| $less(X3,X0) ),
inference(cnf_transformation,[],[f341]) ).
tff(f341,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int,X3: $int] :
( $less(X3,X0)
| ( $sum(num_of1(X1,X0,X3),num_of1(X1,X3,X2)) = num_of1(X1,X0,X2) )
| $less(X2,X3) ),
inference(rectify,[],[f282]) ).
tff(f282,plain,
! [X2: $int,X1: lparray_intcm_intrp,X0: $int,X3: $int] :
( $less(X3,X2)
| ( num_of1(X1,X2,X0) = $sum(num_of1(X1,X2,X3),num_of1(X1,X3,X0)) )
| $less(X0,X3) ),
inference(flattening,[],[f281]) ).
tff(f281,plain,
! [X3: $int,X1: lparray_intcm_intrp,X2: $int,X0: $int] :
( ( num_of1(X1,X2,X0) = $sum(num_of1(X1,X2,X3),num_of1(X1,X3,X0)) )
| $less(X0,X3)
| $less(X3,X2) ),
inference(ennf_transformation,[],[f178]) ).
tff(f178,plain,
! [X3: $int,X1: lparray_intcm_intrp,X2: $int,X0: $int] :
( ( ~ $less(X0,X3)
& ~ $less(X3,X2) )
=> ( num_of1(X1,X2,X0) = $sum(num_of1(X1,X2,X3),num_of1(X1,X3,X0)) ) ),
inference(rectify,[],[f106]) ).
tff(f106,plain,
! [X22: $int,X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( ( ~ $less(X22,X8)
& ~ $less(X8,X0) )
=> ( num_of1(X21,X0,X22) = $sum(num_of1(X21,X0,X8),num_of1(X21,X8,X22)) ) ),
inference(theory_normalization,[],[f69]) ).
tff(f69,axiom,
! [X22: $int,X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( ( $lesseq(X8,X22)
& $lesseq(X0,X8) )
=> ( num_of1(X21,X0,X22) = $sum(num_of1(X21,X0,X8),num_of1(X21,X8,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_append1) ).
tff(f3777,plain,
( ~ spl56_257
| ~ spl56_89 ),
inference(avatar_split_clause,[],[f3774,f1144,f3170]) ).
tff(f3774,plain,
( ~ $less(sK7,0)
| ~ spl56_89 ),
inference(interpreted_simplification,[],[f3773]) ).
tff(f3773,plain,
( ~ $less(sK7,0)
| $less(0,0)
| ~ spl56_89 ),
inference(instantiation,[],[f3772]) ).
tff(f3772,plain,
( ! [X1: $int] :
( ~ $less(sK7,X1)
| $less(0,X1) )
| ~ spl56_89 ),
inference(resolution,[],[f1145,f121]) ).
tff(f3769,plain,
( spl56_298
| spl56_299
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3751,f3149,f665,f3766,f3762]) ).
tff(f3762,plain,
( spl56_298
<=> ( 0 = num_of1(sF29,-1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_298])]) ).
tff(f3766,plain,
( spl56_299
<=> ( $sum(1,sK7) = num_of1(sF29,-1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_299])]) ).
tff(f3751,plain,
( ( $sum(1,sK7) = num_of1(sF29,-1,sK2) )
| ( 0 = num_of1(sF29,-1,0) )
| spl56_16
| ~ spl56_253 ),
inference(evaluation,[],[f3750]) ).
tff(f3750,plain,
( $less(0,-1)
| ( $sum(1,sK7) = num_of1(sF29,-1,sK2) )
| ( 0 = num_of1(sF29,-1,0) )
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3666,f1652]) ).
tff(f1652,plain,
! [X0: lparray_intcm_intrp] :
( ( 1 = num_of1(X0,-1,0) )
| ( 0 = num_of1(X0,-1,0) ) ),
inference(resolution,[],[f1622,f1498]) ).
tff(f1498,plain,
! [X2: lparray_intcm_intrp] :
( lt(X2,-1)
| ( 0 = num_of1(X2,-1,0) ) ),
inference(forward_demodulation,[],[f1497,f982]) ).
tff(f982,plain,
! [X0: lparray_intcm_intrp] : ( 0 = num_of1(X0,0,0) ),
inference(interpreted_simplification,[],[f981]) ).
tff(f981,plain,
! [X0: lparray_intcm_intrp] :
( ( 0 = num_of1(X0,0,0) )
| $less(0,0) ),
inference(instantiation,[],[f437]) ).
tff(f1497,plain,
! [X2: lparray_intcm_intrp] :
( ( num_of1(X2,-1,0) = num_of1(X2,0,0) )
| lt(X2,-1) ),
inference(evaluation,[],[f1495]) ).
tff(f1495,plain,
! [X2: lparray_intcm_intrp] :
( lt(X2,-1)
| ( num_of1(X2,$sum(-1,1),0) = num_of1(X2,-1,0) ) ),
inference(interpreted_simplification,[],[f1494]) ).
tff(f1494,plain,
! [X2: lparray_intcm_intrp] :
( lt(X2,-1)
| ~ $less(-1,0)
| ( num_of1(X2,$sum(-1,1),0) = num_of1(X2,-1,0) ) ),
inference(instantiation,[],[f488]) ).
tff(f488,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( lt(X2,X0)
| ~ $less(X0,X1)
| ( num_of1(X2,$sum(X0,1),X1) = num_of1(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f349]) ).
tff(f349,plain,
! [X0: $int,X1: $int,X2: lparray_intcm_intrp] :
( lt(X2,X0)
| ( num_of1(X2,$sum(X0,1),X1) = num_of1(X2,X0,X1) )
| ~ $less(X0,X1) ),
inference(rectify,[],[f215]) ).
tff(f215,plain,
! [X1: $int,X0: $int,X2: lparray_intcm_intrp] :
( lt(X2,X1)
| ( num_of1(X2,$sum(X1,1),X0) = num_of1(X2,X1,X0) )
| ~ $less(X1,X0) ),
inference(flattening,[],[f214]) ).
tff(f214,plain,
! [X1: $int,X2: lparray_intcm_intrp,X0: $int] :
( ( num_of1(X2,$sum(X1,1),X0) = num_of1(X2,X1,X0) )
| lt(X2,X1)
| ~ $less(X1,X0) ),
inference(ennf_transformation,[],[f199]) ).
tff(f199,plain,
! [X1: $int,X2: lparray_intcm_intrp,X0: $int] :
( $less(X1,X0)
=> ( ~ lt(X2,X1)
=> ( num_of1(X2,$sum(X1,1),X0) = num_of1(X2,X1,X0) ) ) ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( $less(X0,X8)
=> ( ~ lt(X21,X0)
=> ( num_of1(X21,X0,X8) = num_of1(X21,$sum(X0,1),X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_no_add1) ).
tff(f1622,plain,
! [X0: lparray_intcm_intrp] :
( ~ lt(X0,-1)
| ( 1 = num_of1(X0,-1,0) ) ),
inference(evaluation,[],[f1621]) ).
tff(f1621,plain,
! [X0: lparray_intcm_intrp] :
( ~ lt(X0,-1)
| ( $sum(1,0) = num_of1(X0,-1,0) ) ),
inference(forward_demodulation,[],[f1618,f982]) ).
tff(f1618,plain,
! [X0: lparray_intcm_intrp] :
( ~ lt(X0,-1)
| ( $sum(1,num_of1(X0,0,0)) = num_of1(X0,-1,0) ) ),
inference(evaluation,[],[f1615]) ).
tff(f1615,plain,
! [X0: lparray_intcm_intrp] :
( ~ lt(X0,-1)
| ( num_of1(X0,-1,0) = $sum(1,num_of1(X0,$sum(-1,1),0)) ) ),
inference(interpreted_simplification,[],[f1614]) ).
tff(f1614,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of1(X0,-1,0) = $sum(1,num_of1(X0,$sum(-1,1),0)) )
| ~ lt(X0,-1)
| ~ $less(-1,0) ),
inference(instantiation,[],[f375]) ).
tff(f375,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( $sum(1,num_of1(X0,$sum(X2,1),X1)) = num_of1(X0,X2,X1) )
| ~ lt(X0,X2)
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f223]) ).
tff(f223,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ~ lt(X0,X2)
| ( $sum(1,num_of1(X0,$sum(X2,1),X1)) = num_of1(X0,X2,X1) )
| ~ $less(X2,X1) ),
inference(flattening,[],[f222]) ).
tff(f222,plain,
! [X1: $int,X2: $int,X0: lparray_intcm_intrp] :
( ( $sum(1,num_of1(X0,$sum(X2,1),X1)) = num_of1(X0,X2,X1) )
| ~ lt(X0,X2)
| ~ $less(X2,X1) ),
inference(ennf_transformation,[],[f208]) ).
tff(f208,plain,
! [X1: $int,X2: $int,X0: lparray_intcm_intrp] :
( $less(X2,X1)
=> ( lt(X0,X2)
=> ( $sum(1,num_of1(X0,$sum(X2,1),X1)) = num_of1(X0,X2,X1) ) ) ),
inference(rectify,[],[f71]) ).
tff(f71,axiom,
! [X21: lparray_intcm_intrp,X8: $int,X0: $int] :
( $less(X0,X8)
=> ( lt(X21,X0)
=> ( num_of1(X21,X0,X8) = $sum(1,num_of1(X21,$sum(X0,1),X8)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_add1) ).
tff(f3666,plain,
( ! [X1: $int] :
( ( $sum(num_of1(sF29,X1,0),sK7) = num_of1(sF29,X1,sK2) )
| $less(0,X1) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3647,f667]) ).
tff(f3647,plain,
( ! [X1: $int] :
( ( $sum(num_of1(sF29,X1,0),sK7) = num_of1(sF29,X1,sK2) )
| $less(sK2,0)
| $less(0,X1) )
| ~ spl56_253 ),
inference(superposition,[],[f472,f3151]) ).
tff(f3760,plain,
( spl56_293
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3759,f3149,f665,f3688]) ).
tff(f3688,plain,
( spl56_293
<=> ( sK7 = $sum(0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_293])]) ).
tff(f3759,plain,
( ( sK7 = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3752,f3151]) ).
tff(f3752,plain,
( ( num_of1(sF29,0,sK2) = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(evaluation,[],[f3748]) ).
tff(f3748,plain,
( ( num_of1(sF29,0,sK2) = $sum(0,sK7) )
| $less(0,0)
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3666,f982]) ).
tff(f3758,plain,
( spl56_293
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3757,f3149,f665,f3688]) ).
tff(f3757,plain,
( ( sK7 = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3753,f3151]) ).
tff(f3753,plain,
( ( num_of1(sF29,0,sK2) = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(evaluation,[],[f3747]) ).
tff(f3747,plain,
( $less(0,0)
| ( num_of1(sF29,0,sK2) = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3666,f1060]) ).
tff(f3756,plain,
( spl56_293
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3755,f3149,f665,f3688]) ).
tff(f3755,plain,
( ( sK7 = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3754,f3151]) ).
tff(f3754,plain,
( ( num_of1(sF29,0,sK2) = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3744,f982]) ).
tff(f3744,plain,
( ( num_of1(sF29,0,sK2) = $sum(num_of1(sF29,0,0),sK7) )
| spl56_16
| ~ spl56_253 ),
inference(interpreted_simplification,[],[f3743]) ).
tff(f3743,plain,
( ( num_of1(sF29,0,sK2) = $sum(num_of1(sF29,0,0),sK7) )
| $less(0,0)
| spl56_16
| ~ spl56_253 ),
inference(instantiation,[],[f3666]) ).
tff(f3742,plain,
( ~ spl56_257
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3741,f3149,f665,f3170]) ).
tff(f3741,plain,
( ~ $less(sK7,0)
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3722,f667]) ).
tff(f3722,plain,
( $less(sK2,0)
| ~ $less(sK7,0)
| ~ spl56_253 ),
inference(evaluation,[],[f3717]) ).
tff(f3717,plain,
( $less(sK2,0)
| ~ $less(sK7,0)
| $less(0,0)
| ~ spl56_253 ),
inference(superposition,[],[f3650,f982]) ).
tff(f3740,plain,
( ~ spl56_257
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3739,f3149,f665,f3170]) ).
tff(f3739,plain,
( ~ $less(sK7,0)
| spl56_16
| ~ spl56_253 ),
inference(forward_demodulation,[],[f3738,f982]) ).
tff(f3738,plain,
( ~ $less(sK7,num_of1(sF29,0,0))
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3714,f667]) ).
tff(f3714,plain,
( ~ $less(sK7,num_of1(sF29,0,0))
| $less(sK2,0)
| ~ spl56_253 ),
inference(interpreted_simplification,[],[f3713]) ).
tff(f3713,plain,
( ~ $less(sK7,num_of1(sF29,0,0))
| $less(sK2,0)
| $less(0,0)
| ~ spl56_253 ),
inference(instantiation,[],[f3650]) ).
tff(f3737,plain,
( spl56_286
| ~ spl56_257
| ~ spl56_71
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3736,f3149,f959,f3170,f3554]) ).
tff(f3554,plain,
( spl56_286
<=> ! [X20: $int] :
( $less(X20,0)
| $less(0,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_286])]) ).
tff(f959,plain,
( spl56_71
<=> $less(0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_71])]) ).
tff(f3736,plain,
( ! [X1: $int] :
( ~ $less(sK7,0)
| $less(X1,0)
| $less(0,X1) )
| ~ spl56_71
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3720,f1364]) ).
tff(f1364,plain,
( ! [X0: $int] :
( ~ $less(sK2,X0)
| $less(0,X0) )
| ~ spl56_71 ),
inference(resolution,[],[f961,f121]) ).
tff(f961,plain,
( $less(0,sK2)
| ~ spl56_71 ),
inference(avatar_component_clause,[],[f959]) ).
tff(f3720,plain,
( ! [X1: $int] :
( ~ $less(sK7,0)
| $less(X1,0)
| $less(0,X1)
| $less(sK2,X1) )
| ~ spl56_253 ),
inference(superposition,[],[f3650,f437]) ).
tff(f3735,plain,
( ~ spl56_296
| spl56_297
| spl56_223
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3723,f3149,f2721,f3732,f3728]) ).
tff(f3728,plain,
( spl56_296
<=> $less(sK7,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_296])]) ).
tff(f3732,plain,
( spl56_297
<=> $less(sK2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_297])]) ).
tff(f2721,plain,
( spl56_223
<=> ( 0 = num_of1(sF29,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_223])]) ).
tff(f3723,plain,
( ( 0 = num_of1(sF29,0,1) )
| $less(sK2,1)
| ~ $less(sK7,1)
| ~ spl56_253 ),
inference(evaluation,[],[f3718]) ).
tff(f3718,plain,
( ~ $less(sK7,1)
| ( 0 = num_of1(sF29,0,1) )
| $less(1,0)
| $less(sK2,1)
| ~ spl56_253 ),
inference(superposition,[],[f3650,f1970]) ).
tff(f1970,plain,
! [X0: lparray_intcm_intrp] :
( ( 1 = num_of1(X0,0,1) )
| ( 0 = num_of1(X0,0,1) ) ),
inference(resolution,[],[f1890,f1710]) ).
tff(f1710,plain,
! [X0: lparray_intcm_intrp] :
( lt(X0,0)
| ( 0 = num_of1(X0,0,1) ) ),
inference(forward_demodulation,[],[f1709,f982]) ).
tff(f1709,plain,
! [X0: lparray_intcm_intrp] :
( lt(X0,0)
| ( num_of1(X0,0,0) = num_of1(X0,0,1) ) ),
inference(evaluation,[],[f1708]) ).
tff(f1708,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of1(X0,0,$sum(1,-1)) = num_of1(X0,0,1) )
| lt(X0,$sum(1,-1)) ),
inference(interpreted_simplification,[],[f1707]) ).
tff(f1707,plain,
! [X0: lparray_intcm_intrp] :
( lt(X0,$sum(1,-1))
| ( num_of1(X0,0,$sum(1,-1)) = num_of1(X0,0,1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f588]) ).
tff(f588,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( lt(X0,$sum(X1,-1))
| ( num_of1(X0,X2,X1) = num_of1(X0,X2,$sum(X1,-1)) )
| ~ $less(X2,X1) ),
inference(evaluation,[],[f510]) ).
tff(f510,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( num_of1(X0,X2,X1) = num_of1(X0,X2,$sum(X1,$uminus(1))) )
| lt(X0,$sum(X1,$uminus(1)))
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( num_of1(X0,X2,X1) = num_of1(X0,X2,$sum(X1,$uminus(1))) )
| lt(X0,$sum(X1,$uminus(1)))
| ~ $less(X2,X1) ),
inference(flattening,[],[f267]) ).
tff(f267,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( num_of1(X0,X2,X1) = num_of1(X0,X2,$sum(X1,$uminus(1))) )
| lt(X0,$sum(X1,$uminus(1)))
| ~ $less(X2,X1) ),
inference(ennf_transformation,[],[f209]) ).
tff(f209,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( $less(X2,X1)
=> ( ~ lt(X0,$sum(X1,$uminus(1)))
=> ( num_of1(X0,X2,X1) = num_of1(X0,X2,$sum(X1,$uminus(1))) ) ) ),
inference(rectify,[],[f114]) ).
tff(f114,plain,
! [X21: lparray_intcm_intrp,X8: $int,X0: $int] :
( $less(X0,X8)
=> ( ~ lt(X21,$sum(X8,$uminus(1)))
=> ( num_of1(X21,X0,X8) = num_of1(X21,X0,$sum(X8,$uminus(1))) ) ) ),
inference(theory_normalization,[],[f66]) ).
tff(f66,axiom,
! [X21: lparray_intcm_intrp,X8: $int,X0: $int] :
( $less(X0,X8)
=> ( ~ lt(X21,$difference(X8,1))
=> ( num_of1(X21,X0,X8) = num_of1(X21,X0,$difference(X8,1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_no_add1) ).
tff(f1890,plain,
! [X1: lparray_intcm_intrp] :
( ~ lt(X1,0)
| ( 1 = num_of1(X1,0,1) ) ),
inference(evaluation,[],[f1889]) ).
tff(f1889,plain,
! [X1: lparray_intcm_intrp] :
( ( num_of1(X1,0,1) = $sum(1,0) )
| ~ lt(X1,0) ),
inference(forward_demodulation,[],[f1888,f982]) ).
tff(f1888,plain,
! [X1: lparray_intcm_intrp] :
( ( num_of1(X1,0,1) = $sum(1,num_of1(X1,0,0)) )
| ~ lt(X1,0) ),
inference(evaluation,[],[f1884]) ).
tff(f1884,plain,
! [X1: lparray_intcm_intrp] :
( ( $sum(1,num_of1(X1,0,$sum(1,-1))) = num_of1(X1,0,1) )
| ~ lt(X1,$sum(1,-1)) ),
inference(interpreted_simplification,[],[f1883]) ).
tff(f1883,plain,
! [X1: lparray_intcm_intrp] :
( ~ lt(X1,$sum(1,-1))
| ~ $less(0,1)
| ( $sum(1,num_of1(X1,0,$sum(1,-1))) = num_of1(X1,0,1) ) ),
inference(instantiation,[],[f587]) ).
tff(f587,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ~ lt(X1,$sum(X0,-1))
| ~ $less(X2,X0)
| ( num_of1(X1,X2,X0) = $sum(1,num_of1(X1,X2,$sum(X0,-1))) ) ),
inference(evaluation,[],[f429]) ).
tff(f429,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ( num_of1(X1,X2,X0) = $sum(1,num_of1(X1,X2,$sum(X0,$uminus(1)))) )
| ~ $less(X2,X0)
| ~ lt(X1,$sum(X0,$uminus(1))) ),
inference(cnf_transformation,[],[f308]) ).
tff(f308,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ~ lt(X1,$sum(X0,$uminus(1)))
| ~ $less(X2,X0)
| ( num_of1(X1,X2,X0) = $sum(1,num_of1(X1,X2,$sum(X0,$uminus(1)))) ) ),
inference(rectify,[],[f243]) ).
tff(f243,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ lt(X0,$sum(X2,$uminus(1)))
| ~ $less(X1,X2)
| ( $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) = num_of1(X0,X1,X2) ) ),
inference(flattening,[],[f242]) ).
tff(f242,plain,
! [X0: lparray_intcm_intrp,X2: $int,X1: $int] :
( ( $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) = num_of1(X0,X1,X2) )
| ~ lt(X0,$sum(X2,$uminus(1)))
| ~ $less(X1,X2) ),
inference(ennf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0: lparray_intcm_intrp,X2: $int,X1: $int] :
( $less(X1,X2)
=> ( lt(X0,$sum(X2,$uminus(1)))
=> ( $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) = num_of1(X0,X1,X2) ) ) ),
inference(rectify,[],[f111]) ).
tff(f111,plain,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( lt(X21,$sum(X8,$uminus(1)))
=> ( num_of1(X21,X0,X8) = $sum(1,num_of1(X21,X0,$sum(X8,$uminus(1)))) ) ) ),
inference(theory_normalization,[],[f67]) ).
tff(f67,axiom,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( lt(X21,$difference(X8,1))
=> ( num_of1(X21,X0,X8) = $sum(1,num_of1(X21,X0,$difference(X8,1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_add1) ).
tff(f3726,plain,
( ~ spl56_257
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3725,f3149,f665,f3170]) ).
tff(f3725,plain,
( ~ $less(sK7,0)
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3724,f667]) ).
tff(f3724,plain,
( ~ $less(sK7,0)
| $less(sK2,0)
| ~ spl56_253 ),
inference(evaluation,[],[f3721]) ).
tff(f3721,plain,
( ~ $less(sK7,0)
| $less(sK2,0)
| $less(0,0)
| ~ spl56_253 ),
inference(superposition,[],[f3650,f1060]) ).
tff(f3709,plain,
( ~ spl56_89
| spl56_290
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3698,f3149,f665,f3661,f1144]) ).
tff(f3698,plain,
( ! [X1: $int] :
( $less(X1,sK2)
| $less(0,X1)
| ~ $less(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3683,f437]) ).
tff(f3708,plain,
( ~ spl56_295
| spl56_223
| spl56_224
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3696,f3149,f665,f2725,f2721,f3705]) ).
tff(f3705,plain,
( spl56_295
<=> $less(1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_295])]) ).
tff(f2725,plain,
( spl56_224
<=> $less(1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_224])]) ).
tff(f3696,plain,
( $less(1,sK2)
| ( 0 = num_of1(sF29,0,1) )
| ~ $less(1,sK7)
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3683,f1970]) ).
tff(f3703,plain,
( ~ spl56_89
| spl56_294
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3697,f3149,f665,f3701,f1144]) ).
tff(f3701,plain,
( spl56_294
<=> ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_294])]) ).
tff(f3697,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(0,sK7)
| $less(X0,sK2) )
| spl56_16
| ~ spl56_253 ),
inference(superposition,[],[f3683,f3397]) ).
tff(f3692,plain,
( ~ spl56_146
| spl56_215
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3642,f3149,f2650,f1694]) ).
tff(f1694,plain,
( spl56_146
<=> ( sK9 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_146])]) ).
tff(f3642,plain,
( ( sK9 != sK7 )
| spl56_215
| ~ spl56_253 ),
inference(superposition,[],[f2651,f3151]) ).
tff(f3691,plain,
( spl56_293
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3686,f3149,f665,f3688]) ).
tff(f3686,plain,
( ( sK7 = $sum(0,sK7) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3643,f667]) ).
tff(f3643,plain,
( $less(sK2,0)
| ( sK7 = $sum(0,sK7) )
| ~ spl56_253 ),
inference(superposition,[],[f1732,f3151]) ).
tff(f1732,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( ( num_of1(X7,0,X8) = $sum(0,num_of1(X7,0,X8)) )
| $less(X8,0) ),
inference(evaluation,[],[f1728]) ).
tff(f1728,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( $less(X8,0)
| $less(0,0)
| ( num_of1(X7,0,X8) = $sum(0,num_of1(X7,0,X8)) ) ),
inference(superposition,[],[f472,f982]) ).
tff(f3685,plain,
( ~ spl56_257
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3684,f3149,f665,f3170]) ).
tff(f3684,plain,
( ~ $less(sK7,0)
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3644,f667]) ).
tff(f3644,plain,
( $less(sK2,0)
| ~ $less(sK7,0)
| ~ spl56_253 ),
inference(superposition,[],[f1227,f3151]) ).
tff(f1227,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( ~ $less(num_of1(X7,0,X8),0)
| $less(X8,0) ),
inference(evaluation,[],[f1226]) ).
tff(f1226,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( ~ $less(num_of1(X7,0,X8),0)
| $less(X8,0)
| $less(0,0) ),
inference(superposition,[],[f496,f982]) ).
tff(f3682,plain,
( spl56_89
| spl56_292
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3652,f3149,f3679,f1144]) ).
tff(f3652,plain,
( ( 0 = sK7 )
| $less(0,sK7)
| ~ spl56_253 ),
inference(superposition,[],[f1005,f3151]) ).
tff(f3677,plain,
( ~ spl56_291
| ~ spl56_71
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3672,f3149,f959,f3674]) ).
tff(f3674,plain,
( spl56_291
<=> $less($sum(sK2,0),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_291])]) ).
tff(f3672,plain,
( ~ $less($sum(sK2,0),sK7)
| ~ spl56_71
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3658,f961]) ).
tff(f3658,plain,
( ~ $less($sum(sK2,0),sK7)
| ~ $less(0,sK2)
| ~ spl56_253 ),
inference(evaluation,[],[f3649]) ).
tff(f3649,plain,
( ~ $less(0,sK2)
| ~ $less($sum(sK2,$uminus(0)),sK7)
| ~ spl56_253 ),
inference(superposition,[],[f484,f3151]) ).
tff(f3671,plain,
( ~ spl56_257
| spl56_286
| ~ spl56_71
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3670,f3149,f959,f3554,f3170]) ).
tff(f3670,plain,
( ! [X5: $int] :
( $less(X5,0)
| ~ $less(sK7,0)
| $less(0,X5) )
| ~ spl56_71
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3655,f1364]) ).
tff(f3655,plain,
( ! [X5: $int] :
( $less(0,X5)
| $less(sK2,X5)
| $less(X5,0)
| ~ $less(sK7,0) )
| ~ spl56_253 ),
inference(superposition,[],[f1224,f3151]) ).
tff(f1224,plain,
! [X2: $int,X3: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(num_of1(X0,X1,X3),0)
| $less(X3,X2)
| $less(X1,X2)
| $less(X2,X1) ),
inference(superposition,[],[f496,f437]) ).
tff(f3669,plain,
( ~ spl56_257
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3668,f3149,f665,f3170]) ).
tff(f3668,plain,
( ~ $less(sK7,0)
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3656,f667]) ).
tff(f3656,plain,
( ~ $less(sK7,0)
| $less(sK2,0)
| ~ spl56_253 ),
inference(superposition,[],[f1228,f3151]) ).
tff(f1228,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ~ $less(num_of1(X4,X5,X6),0)
| $less(X6,X5) ),
inference(subsumption_resolution,[],[f1225,f120]) ).
tff(f1225,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ~ $less(num_of1(X4,X5,X6),0)
| $less(X5,X5)
| $less(X6,X5) ),
inference(superposition,[],[f496,f1060]) ).
tff(f3665,plain,
( ~ spl56_257
| ~ spl56_71
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3664,f3149,f959,f3170]) ).
tff(f3664,plain,
( ~ $less(sK7,0)
| ~ spl56_71
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3648,f961]) ).
tff(f3648,plain,
( ~ $less(sK7,0)
| ~ $less(0,sK2)
| ~ spl56_253 ),
inference(superposition,[],[f483,f3151]) ).
tff(f3663,plain,
( spl56_290
| ~ spl56_89
| spl56_16
| ~ spl56_253 ),
inference(avatar_split_clause,[],[f3659,f3149,f665,f1144,f3661]) ).
tff(f3659,plain,
( ! [X4: $int] :
( ~ $less(0,sK7)
| $less(0,X4)
| $less(X4,sK2) )
| spl56_16
| ~ spl56_253 ),
inference(subsumption_resolution,[],[f3653,f667]) ).
tff(f3653,plain,
( ! [X4: $int] :
( $less(sK2,0)
| $less(0,X4)
| ~ $less(0,sK7)
| $less(X4,sK2) )
| ~ spl56_253 ),
inference(superposition,[],[f1221,f3151]) ).
tff(f3590,plain,
( spl56_282
| spl56_289 ),
inference(avatar_split_clause,[],[f3577,f3588,f3459]) ).
tff(f3459,plain,
( spl56_282
<=> ! [X10: $int] :
( $less(X10,1)
| $less(0,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_282])]) ).
tff(f3588,plain,
( spl56_289
<=> ! [X13: lparray_intcm_intrp] : ( 0 = num_of1(X13,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_289])]) ).
tff(f3577,plain,
! [X14: $int,X13: lparray_intcm_intrp] :
( ( 0 = num_of1(X13,0,1) )
| $less(0,X14)
| $less(X14,1) ),
inference(evaluation,[],[f3574]) ).
tff(f3574,plain,
! [X14: $int,X13: lparray_intcm_intrp] :
( $less(X14,1)
| $less(1,0)
| ( 0 = num_of1(X13,0,1) )
| $less(0,X14)
| ~ $less(0,1) ),
inference(superposition,[],[f1221,f1970]) ).
tff(f3584,plain,
( spl56_288
| spl56_281 ),
inference(avatar_split_clause,[],[f3578,f3453,f3582]) ).
tff(f3582,plain,
( spl56_288
<=> ! [X17: lparray_intcm_intrp] : ( 0 = num_of1(X17,-1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_288])]) ).
tff(f3453,plain,
( spl56_281
<=> ! [X12: $int] :
( $less(-1,X12)
| $less(X12,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_281])]) ).
tff(f3578,plain,
! [X18: $int,X17: lparray_intcm_intrp] :
( $less(-1,X18)
| $less(X18,0)
| ( 0 = num_of1(X17,-1,0) ) ),
inference(evaluation,[],[f3576]) ).
tff(f3576,plain,
! [X18: $int,X17: lparray_intcm_intrp] :
( $less(-1,X18)
| $less(0,-1)
| ( 0 = num_of1(X17,-1,0) )
| $less(X18,0)
| ~ $less(0,1) ),
inference(superposition,[],[f1221,f1652]) ).
tff(f3563,plain,
( ~ spl56_209
| spl56_286
| ~ spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3562,f2454,f1019,f3554,f2573]) ).
tff(f2573,plain,
( spl56_209
<=> $less(sF50,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_209])]) ).
tff(f1019,plain,
( spl56_78
<=> $less(0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_78])]) ).
tff(f2454,plain,
( spl56_194
<=> ( num_of(sF52,0,sK9) = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_194])]) ).
tff(f3562,plain,
( ! [X21: $int] :
( $less(X21,0)
| ~ $less(sF50,0)
| $less(0,X21) )
| ~ spl56_78
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3549,f3389]) ).
tff(f3389,plain,
( ! [X1: $int] :
( ~ $less(sK9,X1)
| $less(0,X1) )
| ~ spl56_78 ),
inference(resolution,[],[f1021,f121]) ).
tff(f1021,plain,
( $less(0,sK9)
| ~ spl56_78 ),
inference(avatar_component_clause,[],[f1019]) ).
tff(f3549,plain,
( ! [X21: $int] :
( $less(X21,0)
| $less(0,X21)
| $less(sK9,X21)
| ~ $less(sF50,0) )
| ~ spl56_194 ),
inference(superposition,[],[f1203,f2456]) ).
tff(f2456,plain,
( ( num_of(sF52,0,sK9) = sF50 )
| ~ spl56_194 ),
inference(avatar_component_clause,[],[f2454]) ).
tff(f1203,plain,
! [X2: $int,X3: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(num_of(X0,X1,X3),0)
| $less(X2,X1)
| $less(X1,X2)
| $less(X3,X2) ),
inference(superposition,[],[f423,f479]) ).
tff(f479,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of(X0,X2,X1) )
| $less(X2,X1) ),
inference(cnf_transformation,[],[f345]) ).
tff(f345,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( 0 = num_of(X0,X2,X1) )
| $less(X2,X1) ),
inference(rectify,[],[f228]) ).
tff(f228,plain,
! [X1: lparray_intcm_intrp,X2: $int,X0: $int] :
( ( 0 = num_of(X1,X0,X2) )
| $less(X0,X2) ),
inference(ennf_transformation,[],[f162]) ).
tff(f162,plain,
! [X1: lparray_intcm_intrp,X0: $int,X2: $int] :
( ~ $less(X0,X2)
=> ( 0 = num_of(X1,X0,X2) ) ),
inference(rectify,[],[f100]) ).
tff(f100,plain,
! [X0: $int,X21: lparray_intcm_intrp,X8: $int] :
( ~ $less(X0,X8)
=> ( 0 = num_of(X21,X0,X8) ) ),
inference(theory_normalization,[],[f50]) ).
tff(f50,axiom,
! [X0: $int,X21: lparray_intcm_intrp,X8: $int] :
( $lesseq(X8,X0)
=> ( 0 = num_of(X21,X0,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_empty) ).
tff(f423,plain,
! [X2: lparray_intcm_intrp,X3: $int,X0: $int,X1: $int] :
( ~ $less(num_of(X2,X3,X0),num_of(X2,X3,X1))
| $less(X1,X3)
| $less(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
tff(f303,plain,
! [X0: $int,X1: $int,X2: lparray_intcm_intrp,X3: $int] :
( ~ $less(num_of(X2,X3,X0),num_of(X2,X3,X1))
| $less(X1,X3)
| $less(X0,X1) ),
inference(rectify,[],[f254]) ).
tff(f254,plain,
! [X1: $int,X2: $int,X3: lparray_intcm_intrp,X0: $int] :
( ~ $less(num_of(X3,X0,X1),num_of(X3,X0,X2))
| $less(X2,X0)
| $less(X1,X2) ),
inference(flattening,[],[f253]) ).
tff(f253,plain,
! [X2: $int,X3: lparray_intcm_intrp,X1: $int,X0: $int] :
( ~ $less(num_of(X3,X0,X1),num_of(X3,X0,X2))
| $less(X1,X2)
| $less(X2,X0) ),
inference(ennf_transformation,[],[f160]) ).
tff(f160,plain,
! [X2: $int,X3: lparray_intcm_intrp,X1: $int,X0: $int] :
( ( ~ $less(X1,X2)
& ~ $less(X2,X0) )
=> ~ $less(num_of(X3,X0,X1),num_of(X3,X0,X2)) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
! [X14: $int,X23: $int,X15: $int,X21: lparray_intcm_intrp] :
( ( ~ $less(X23,X15)
& ~ $less(X15,X14) )
=> ~ $less(num_of(X21,X14,X23),num_of(X21,X14,X15)) ),
inference(theory_normalization,[],[f59]) ).
tff(f59,axiom,
! [X14: $int,X23: $int,X15: $int,X21: lparray_intcm_intrp] :
( ( $lesseq(X15,X23)
& $lesseq(X14,X15) )
=> $lesseq(num_of(X21,X14,X15),num_of(X21,X14,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_increasing) ).
tff(f3561,plain,
( spl56_287
| spl56_163 ),
inference(avatar_split_clause,[],[f3547,f2088,f3559]) ).
tff(f3559,plain,
( spl56_287
<=> ! [X18: $int] :
( $less(X18,0)
| $less(0,X18)
| $less(sF54,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_287])]) ).
tff(f2088,plain,
( spl56_163
<=> ! [X0: $int] :
( ~ $less(X0,k)
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF33,t2tb(X0))),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_163])]) ).
tff(f3547,plain,
! [X18: $int,X17: $int] :
( ~ $less(tb2t(get(int,int,sF33,t2tb(X17))),0)
| $less(X18,0)
| $less(sF54,X18)
| $less(X17,0)
| $less(0,X18)
| ~ $less(X17,k) ),
inference(superposition,[],[f1203,f580]) ).
tff(f580,plain,
! [X17: $int] :
( ( tb2t(get(int,int,sF33,t2tb(X17))) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X17))),0,sF54) )
| $less(X17,0)
| ~ $less(X17,k) ),
inference(definition_folding,[],[f383,f579,f532,f531,f536,f535,f534,f547]) ).
tff(f547,plain,
sF33 = t2tb1(sK4),
introduced(function_definition,[]) ).
tff(f531,plain,
$uminus(1) = sF22,
introduced(function_definition,[]) ).
tff(f532,plain,
sF23 = $sum(sK2,sF22),
introduced(function_definition,[]) ).
tff(f579,plain,
$sum(sF23,1) = sF54,
introduced(function_definition,[]) ).
tff(f383,plain,
! [X17: $int] :
( $less(X17,0)
| ( tb2t(get(int,int,t2tb1(sK4),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK2,$uminus(1)),1)) )
| ~ $less(X17,k) ),
inference(cnf_transformation,[],[f297]) ).
tff(f3556,plain,
( spl56_286
| spl56_254
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f3552,f1019,f3156,f3554]) ).
tff(f3156,plain,
( spl56_254
<=> ! [X11: $int] :
( ~ $less(X11,sK6)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X11))),0,sK2),0)
| $less(X11,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_254])]) ).
tff(f3552,plain,
( ! [X19: $int,X20: $int] :
( $less(X19,0)
| $less(X20,0)
| ~ $less(X19,sK6)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X19))),0,sK2),0)
| $less(0,X20) )
| ~ spl56_78 ),
inference(subsumption_resolution,[],[f3548,f3389]) ).
tff(f3548,plain,
! [X19: $int,X20: $int] :
( $less(0,X20)
| $less(sK9,X20)
| $less(X20,0)
| $less(X19,0)
| ~ $less(X19,sK6)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X19))),0,sK2),0) ),
inference(superposition,[],[f1203,f567]) ).
tff(f567,plain,
! [X15: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF46,t2tb(X15))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X15))),0,sK2) )
| $less(X15,0)
| ~ $less(X15,sK6) ),
inference(definition_folding,[],[f516,f566,f554,f534,f536,f535,f534]) ).
tff(f554,plain,
sF37 = t2tb1(sK10),
introduced(function_definition,[]) ).
tff(f566,plain,
sF46 = mk_array(int,sK2,sF37),
introduced(function_definition,[]) ).
tff(f516,plain,
! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK10)),t2tb(X15))),0,sK9) ) ),
inference(definition_unfolding,[],[f393,f380]) ).
tff(f393,plain,
! [X15: $int] :
( ~ $less(X15,sK6)
| $less(X15,0)
| ( num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(X15))),0,sK9) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X15))),0,sK2) ) ),
inference(cnf_transformation,[],[f297]) ).
tff(f3537,plain,
( spl56_169
| ~ spl56_164 ),
inference(avatar_split_clause,[],[f3525,f2091,f2116]) ).
tff(f2116,plain,
( spl56_169
<=> ! [X9: $int] :
( ( 0 = tb2t(get(int,int,sF33,t2tb(X9))) )
| ~ $less(X9,k)
| $less(X9,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_169])]) ).
tff(f3525,plain,
! [X64: $int] :
( ~ $less(sF54,0)
| ~ $less(X64,k)
| $less(X64,0)
| ( 0 = tb2t(get(int,int,sF33,t2tb(X64))) ) ),
inference(superposition,[],[f580,f3405]) ).
tff(f3405,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of(X0,X1,X2) )
| ~ $less(X2,X1) ),
inference(duplicate_literal_removal,[],[f3400]) ).
tff(f3400,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(X2,X1)
| ( 0 = num_of(X0,X1,X2) )
| ( 0 = num_of(X0,X1,X2) ) ),
inference(resolution,[],[f1081,f499]) ).
tff(f499,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ~ $less(sK20(X0,X1,X2),X0)
| ( 0 = num_of(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f359]) ).
tff(f359,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ( 0 = num_of(X1,X0,X2) )
| ( $less(sK20(X0,X1,X2),X2)
& ~ $less(sK20(X0,X1,X2),X0)
& eq(X1,sK20(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f357,f358]) ).
tff(f358,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ? [X3: $int] :
( $less(X3,X2)
& ~ $less(X3,X0)
& eq(X1,X3) )
=> ( $less(sK20(X0,X1,X2),X2)
& ~ $less(sK20(X0,X1,X2),X0)
& eq(X1,sK20(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f357,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( ( 0 = num_of(X1,X0,X2) )
| ? [X3: $int] :
( $less(X3,X2)
& ~ $less(X3,X0)
& eq(X1,X3) ) ),
inference(rectify,[],[f257]) ).
tff(f257,plain,
! [X1: $int,X2: lparray_intcm_intrp,X0: $int] :
( ( 0 = num_of(X2,X1,X0) )
| ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X1)
& eq(X2,X3) ) ),
inference(flattening,[],[f256]) ).
tff(f256,plain,
! [X2: lparray_intcm_intrp,X1: $int,X0: $int] :
( ( 0 = num_of(X2,X1,X0) )
| ? [X3: $int] :
( eq(X2,X3)
& ~ $less(X3,X1)
& $less(X3,X0) ) ),
inference(ennf_transformation,[],[f135]) ).
tff(f135,plain,
! [X2: lparray_intcm_intrp,X1: $int,X0: $int] :
( ! [X3: $int] :
( ( ~ $less(X3,X1)
& $less(X3,X0) )
=> ~ eq(X2,X3) )
=> ( 0 = num_of(X2,X1,X0) ) ),
inference(rectify,[],[f88]) ).
tff(f88,plain,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( ! [X17: $int] :
( ( ~ $less(X17,X0)
& $less(X17,X8) )
=> ~ eq(X21,X17) )
=> ( 0 = num_of(X21,X0,X8) ) ),
inference(theory_normalization,[],[f57]) ).
tff(f57,axiom,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( ! [X17: $int] :
( ( $lesseq(X0,X17)
& $less(X17,X8) )
=> ~ eq(X21,X17) )
=> ( 0 = num_of(X21,X0,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty) ).
tff(f1081,plain,
! [X2: lparray_intcm_intrp,X3: $int,X4: $int,X5: $int] :
( $less(sK20(X3,X2,X4),X5)
| ( 0 = num_of(X2,X3,X4) )
| ~ $less(X4,X5) ),
inference(resolution,[],[f500,f121]) ).
tff(f500,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( $less(sK20(X0,X1,X2),X2)
| ( 0 = num_of(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f359]) ).
tff(f3536,plain,
( ~ spl56_164
| spl56_169 ),
inference(avatar_split_clause,[],[f3499,f2116,f2091]) ).
tff(f3499,plain,
! [X11: $int] :
( ( 0 = tb2t(get(int,int,sF33,t2tb(X11))) )
| ~ $less(X11,k)
| $less(X11,0)
| ~ $less(sF54,0) ),
inference(superposition,[],[f3405,f580]) ).
tff(f3535,plain,
( spl56_285
| ~ spl56_208
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3528,f2454,f869,f2563,f3533]) ).
tff(f3533,plain,
( spl56_285
<=> ! [X66: $int] :
( $less(X66,sK9)
| ~ $less(X66,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_285])]) ).
tff(f2563,plain,
( spl56_208
<=> $less(0,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_208])]) ).
tff(f869,plain,
( spl56_56
<=> $less(sK9,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_56])]) ).
tff(f3528,plain,
( ! [X66: $int] :
( ~ $less(0,sF50)
| $less(X66,sK9)
| ~ $less(X66,0) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2577,f3405]) ).
tff(f2577,plain,
( ! [X0: $int] :
( ~ $less(num_of(sF52,0,X0),sF50)
| $less(X0,sK9) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2533,f871]) ).
tff(f871,plain,
( ~ $less(sK9,0)
| spl56_56 ),
inference(avatar_component_clause,[],[f869]) ).
tff(f2533,plain,
( ! [X0: $int] :
( $less(X0,sK9)
| $less(sK9,0)
| ~ $less(num_of(sF52,0,X0),sF50) )
| ~ spl56_194 ),
inference(superposition,[],[f423,f2456]) ).
tff(f3472,plain,
( spl56_164
| spl56_284
| spl56_172 ),
inference(avatar_split_clause,[],[f3443,f2137,f3470,f2091]) ).
tff(f3470,plain,
( spl56_284
<=> ! [X14: $int] :
( $less(0,X14)
| $less(X14,sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_284])]) ).
tff(f2137,plain,
( spl56_172
<=> ! [X13: $int] :
( ~ $less(0,tb2t(get(int,int,sF33,t2tb(X13))))
| ~ $less(X13,k)
| $less(X13,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_172])]) ).
tff(f3443,plain,
! [X14: $int,X13: $int] :
( ~ $less(0,tb2t(get(int,int,sF33,t2tb(X13))))
| ~ $less(X13,k)
| $less(X13,0)
| $less(0,X14)
| $less(sF54,0)
| $less(X14,sF54) ),
inference(superposition,[],[f1200,f580]) ).
tff(f1200,plain,
! [X2: $int,X3: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(0,num_of(X0,X1,X3))
| $less(X2,X3)
| $less(X3,X1)
| $less(X1,X2) ),
inference(superposition,[],[f423,f479]) ).
tff(f3466,plain,
( ~ spl56_208
| spl56_214
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3465,f2454,f869,f2615,f2563]) ).
tff(f2615,plain,
( spl56_214
<=> ! [X0: $int] :
( $less(X0,sK9)
| $less(0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_214])]) ).
tff(f3465,plain,
( ! [X17: $int] :
( $less(X17,sK9)
| $less(0,X17)
| ~ $less(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3445,f871]) ).
tff(f3445,plain,
( ! [X17: $int] :
( $less(0,X17)
| ~ $less(0,sF50)
| $less(X17,sK9)
| $less(sK9,0) )
| ~ spl56_194 ),
inference(superposition,[],[f1200,f2456]) ).
tff(f3464,plain,
( spl56_282
| spl56_283 ),
inference(avatar_split_clause,[],[f3446,f3462,f3459]) ).
tff(f3462,plain,
( spl56_283
<=> ! [X9: lparray_intcm_intrp] : ( 0 = num_of(X9,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_283])]) ).
tff(f3446,plain,
! [X10: $int,X9: lparray_intcm_intrp] :
( ( 0 = num_of(X9,0,1) )
| $less(X10,1)
| $less(0,X10) ),
inference(evaluation,[],[f3441]) ).
tff(f3441,plain,
! [X10: $int,X9: lparray_intcm_intrp] :
( $less(1,0)
| $less(X10,1)
| ~ $less(0,1)
| $less(0,X10)
| ( 0 = num_of(X9,0,1) ) ),
inference(superposition,[],[f1200,f1964]) ).
tff(f1964,plain,
! [X0: lparray_intcm_intrp] :
( ( 1 = num_of(X0,0,1) )
| ( 0 = num_of(X0,0,1) ) ),
inference(resolution,[],[f1874,f1658]) ).
tff(f1658,plain,
! [X1: lparray_intcm_intrp] :
( eq(X1,0)
| ( 0 = num_of(X1,0,1) ) ),
inference(forward_demodulation,[],[f1657,f1000]) ).
tff(f1000,plain,
! [X0: lparray_intcm_intrp] : ( 0 = num_of(X0,0,0) ),
inference(interpreted_simplification,[],[f999]) ).
tff(f999,plain,
! [X0: lparray_intcm_intrp] :
( ( 0 = num_of(X0,0,0) )
| $less(0,0) ),
inference(instantiation,[],[f479]) ).
tff(f1657,plain,
! [X1: lparray_intcm_intrp] :
( ( num_of(X1,0,1) = num_of(X1,0,0) )
| eq(X1,0) ),
inference(evaluation,[],[f1656]) ).
tff(f1656,plain,
! [X1: lparray_intcm_intrp] :
( ( num_of(X1,0,1) = num_of(X1,0,$sum(1,-1)) )
| eq(X1,$sum(1,-1)) ),
inference(interpreted_simplification,[],[f1655]) ).
tff(f1655,plain,
! [X1: lparray_intcm_intrp] :
( eq(X1,$sum(1,-1))
| ~ $less(0,1)
| ( num_of(X1,0,1) = num_of(X1,0,$sum(1,-1)) ) ),
inference(instantiation,[],[f586]) ).
tff(f586,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( eq(X1,$sum(X0,-1))
| ~ $less(X2,X0)
| ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,-1)) ) ),
inference(evaluation,[],[f447]) ).
tff(f447,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ~ $less(X2,X0)
| ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,$uminus(1))) )
| eq(X1,$sum(X0,$uminus(1))) ),
inference(cnf_transformation,[],[f321]) ).
tff(f321,plain,
! [X0: $int,X1: lparray_intcm_intrp,X2: $int] :
( eq(X1,$sum(X0,$uminus(1)))
| ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,$uminus(1))) )
| ~ $less(X2,X0) ),
inference(rectify,[],[f233]) ).
tff(f233,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( eq(X0,$sum(X2,$uminus(1)))
| ( num_of(X0,X1,$sum(X2,$uminus(1))) = num_of(X0,X1,X2) )
| ~ $less(X1,X2) ),
inference(flattening,[],[f232]) ).
tff(f232,plain,
! [X2: $int,X1: $int,X0: lparray_intcm_intrp] :
( ( num_of(X0,X1,$sum(X2,$uminus(1))) = num_of(X0,X1,X2) )
| eq(X0,$sum(X2,$uminus(1)))
| ~ $less(X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
tff(f167,plain,
! [X2: $int,X1: $int,X0: lparray_intcm_intrp] :
( $less(X1,X2)
=> ( ~ eq(X0,$sum(X2,$uminus(1)))
=> ( num_of(X0,X1,$sum(X2,$uminus(1))) = num_of(X0,X1,X2) ) ) ),
inference(rectify,[],[f103]) ).
tff(f103,plain,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( ~ eq(X21,$sum(X8,$uminus(1)))
=> ( num_of(X21,X0,X8) = num_of(X21,X0,$sum(X8,$uminus(1))) ) ) ),
inference(theory_normalization,[],[f51]) ).
tff(f51,axiom,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( ~ eq(X21,$difference(X8,1))
=> ( num_of(X21,X0,X8) = num_of(X21,X0,$difference(X8,1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_no_add) ).
tff(f1874,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,0)
| ( 1 = num_of(X0,0,1) ) ),
inference(evaluation,[],[f1873]) ).
tff(f1873,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,0)
| ( num_of(X0,0,1) = $sum(1,0) ) ),
inference(forward_demodulation,[],[f1871,f1000]) ).
tff(f1871,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of(X0,0,1) = $sum(1,num_of(X0,0,0)) )
| ~ eq(X0,0) ),
inference(evaluation,[],[f1867]) ).
tff(f1867,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,$sum(1,-1))
| ( num_of(X0,0,1) = $sum(1,num_of(X0,0,$sum(1,-1))) ) ),
inference(interpreted_simplification,[],[f1866]) ).
tff(f1866,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,$sum(1,-1))
| ( num_of(X0,0,1) = $sum(1,num_of(X0,0,$sum(1,-1))) )
| ~ $less(0,1) ),
inference(instantiation,[],[f585]) ).
tff(f585,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ eq(X0,$sum(X1,-1))
| ( num_of(X0,X2,X1) = $sum(1,num_of(X0,X2,$sum(X1,-1))) )
| ~ $less(X2,X1) ),
inference(evaluation,[],[f487]) ).
tff(f487,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(X2,X1)
| ( num_of(X0,X2,X1) = $sum(1,num_of(X0,X2,$sum(X1,$uminus(1)))) )
| ~ eq(X0,$sum(X1,$uminus(1))) ),
inference(cnf_transformation,[],[f348]) ).
tff(f348,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( num_of(X0,X2,X1) = $sum(1,num_of(X0,X2,$sum(X1,$uminus(1)))) )
| ~ eq(X0,$sum(X1,$uminus(1)))
| ~ $less(X2,X1) ),
inference(rectify,[],[f220]) ).
tff(f220,plain,
! [X0: lparray_intcm_intrp,X2: $int,X1: $int] :
( ( $sum(1,num_of(X0,X1,$sum(X2,$uminus(1)))) = num_of(X0,X1,X2) )
| ~ eq(X0,$sum(X2,$uminus(1)))
| ~ $less(X1,X2) ),
inference(flattening,[],[f219]) ).
tff(f219,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( $sum(1,num_of(X0,X1,$sum(X2,$uminus(1)))) = num_of(X0,X1,X2) )
| ~ eq(X0,$sum(X2,$uminus(1)))
| ~ $less(X1,X2) ),
inference(ennf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( $less(X1,X2)
=> ( eq(X0,$sum(X2,$uminus(1)))
=> ( $sum(1,num_of(X0,X1,$sum(X2,$uminus(1)))) = num_of(X0,X1,X2) ) ) ),
inference(rectify,[],[f105]) ).
tff(f105,plain,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( eq(X21,$sum(X8,$uminus(1)))
=> ( num_of(X21,X0,X8) = $sum(1,num_of(X21,X0,$sum(X8,$uminus(1)))) ) ) ),
inference(theory_normalization,[],[f52]) ).
tff(f52,axiom,
! [X21: lparray_intcm_intrp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( eq(X21,$difference(X8,1))
=> ( num_of(X21,X0,X8) = $sum(1,num_of(X21,X0,$difference(X8,1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_add) ).
tff(f3457,plain,
( spl56_214
| spl56_255
| spl56_56 ),
inference(avatar_split_clause,[],[f3456,f869,f3162,f2615]) ).
tff(f3162,plain,
( spl56_255
<=> ! [X13: $int] :
( ~ $less(0,num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X13))),0,sK2))
| $less(X13,0)
| ~ $less(X13,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_255])]) ).
tff(f3456,plain,
( ! [X16: $int,X15: $int] :
( $less(X15,0)
| ~ $less(X15,sK6)
| $less(X16,sK9)
| $less(0,X16)
| ~ $less(0,num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X15))),0,sK2)) )
| spl56_56 ),
inference(subsumption_resolution,[],[f3444,f871]) ).
tff(f3444,plain,
! [X16: $int,X15: $int] :
( $less(sK9,0)
| $less(0,X16)
| $less(X16,sK9)
| ~ $less(X15,sK6)
| $less(X15,0)
| ~ $less(0,num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X15))),0,sK2)) ),
inference(superposition,[],[f1200,f567]) ).
tff(f3455,plain,
( spl56_280
| spl56_281 ),
inference(avatar_split_clause,[],[f3447,f3453,f3450]) ).
tff(f3450,plain,
( spl56_280
<=> ! [X11: lparray_intcm_intrp] : ( 0 = num_of(X11,-1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_280])]) ).
tff(f3447,plain,
! [X11: lparray_intcm_intrp,X12: $int] :
( $less(-1,X12)
| ( 0 = num_of(X11,-1,0) )
| $less(X12,0) ),
inference(evaluation,[],[f3442]) ).
tff(f3442,plain,
! [X11: lparray_intcm_intrp,X12: $int] :
( $less(-1,X12)
| $less(X12,0)
| ( 0 = num_of(X11,-1,0) )
| $less(0,-1)
| ~ $less(0,1) ),
inference(superposition,[],[f1200,f1679]) ).
tff(f1679,plain,
! [X0: lparray_intcm_intrp] :
( ( 1 = num_of(X0,-1,0) )
| ( 0 = num_of(X0,-1,0) ) ),
inference(resolution,[],[f1651,f1395]) ).
tff(f1395,plain,
! [X0: lparray_intcm_intrp] :
( eq(X0,-1)
| ( 0 = num_of(X0,-1,0) ) ),
inference(forward_demodulation,[],[f1394,f1000]) ).
tff(f1394,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of(X0,-1,0) = num_of(X0,0,0) )
| eq(X0,-1) ),
inference(evaluation,[],[f1392]) ).
tff(f1392,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of(X0,-1,0) = num_of(X0,$sum(-1,1),0) )
| eq(X0,-1) ),
inference(interpreted_simplification,[],[f1391]) ).
tff(f1391,plain,
! [X0: lparray_intcm_intrp] :
( eq(X0,-1)
| ~ $less(-1,0)
| ( num_of(X0,-1,0) = num_of(X0,$sum(-1,1),0) ) ),
inference(instantiation,[],[f471]) ).
tff(f471,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( eq(X0,X2)
| ~ $less(X2,X1)
| ( num_of(X0,X2,X1) = num_of(X0,$sum(X2,1),X1) ) ),
inference(cnf_transformation,[],[f340]) ).
tff(f340,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( eq(X0,X2)
| ( num_of(X0,X2,X1) = num_of(X0,$sum(X2,1),X1) )
| ~ $less(X2,X1) ),
inference(rectify,[],[f259]) ).
tff(f259,plain,
! [X1: lparray_intcm_intrp,X2: $int,X0: $int] :
( eq(X1,X0)
| ( num_of(X1,X0,X2) = num_of(X1,$sum(X0,1),X2) )
| ~ $less(X0,X2) ),
inference(flattening,[],[f258]) ).
tff(f258,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( ( num_of(X1,X0,X2) = num_of(X1,$sum(X0,1),X2) )
| eq(X1,X0)
| ~ $less(X0,X2) ),
inference(ennf_transformation,[],[f210]) ).
tff(f210,plain,
! [X2: $int,X0: $int,X1: lparray_intcm_intrp] :
( $less(X0,X2)
=> ( ~ eq(X1,X0)
=> ( num_of(X1,X0,X2) = num_of(X1,$sum(X0,1),X2) ) ) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X0: $int,X21: lparray_intcm_intrp,X8: $int] :
( $less(X0,X8)
=> ( ~ eq(X21,X0)
=> ( num_of(X21,X0,X8) = num_of(X21,$sum(X0,1),X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_no_add) ).
tff(f1651,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,-1)
| ( 1 = num_of(X0,-1,0) ) ),
inference(evaluation,[],[f1650]) ).
tff(f1650,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,-1)
| ( num_of(X0,-1,0) = $sum(1,0) ) ),
inference(forward_demodulation,[],[f1649,f1000]) ).
tff(f1649,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of(X0,-1,0) = $sum(1,num_of(X0,0,0)) )
| ~ eq(X0,-1) ),
inference(evaluation,[],[f1644]) ).
tff(f1644,plain,
! [X0: lparray_intcm_intrp] :
( ~ eq(X0,-1)
| ( num_of(X0,-1,0) = $sum(1,num_of(X0,$sum(-1,1),0)) ) ),
inference(interpreted_simplification,[],[f1643]) ).
tff(f1643,plain,
! [X0: lparray_intcm_intrp] :
( ( num_of(X0,-1,0) = $sum(1,num_of(X0,$sum(-1,1),0)) )
| ~ eq(X0,-1)
| ~ $less(-1,0) ),
inference(instantiation,[],[f478]) ).
tff(f478,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ( num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) )
| ~ eq(X0,X1)
| ~ $less(X1,X2) ),
inference(cnf_transformation,[],[f344]) ).
tff(f344,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ~ $less(X1,X2)
| ~ eq(X0,X1)
| ( num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) ) ),
inference(rectify,[],[f250]) ).
tff(f250,plain,
! [X1: lparray_intcm_intrp,X2: $int,X0: $int] :
( ~ $less(X2,X0)
| ~ eq(X1,X2)
| ( num_of(X1,X2,X0) = $sum(1,num_of(X1,$sum(X2,1),X0)) ) ),
inference(flattening,[],[f249]) ).
tff(f249,plain,
! [X0: $int,X2: $int,X1: lparray_intcm_intrp] :
( ( num_of(X1,X2,X0) = $sum(1,num_of(X1,$sum(X2,1),X0)) )
| ~ eq(X1,X2)
| ~ $less(X2,X0) ),
inference(ennf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: $int,X2: $int,X1: lparray_intcm_intrp] :
( $less(X2,X0)
=> ( eq(X1,X2)
=> ( num_of(X1,X2,X0) = $sum(1,num_of(X1,$sum(X2,1),X0)) ) ) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X8: $int,X21: lparray_intcm_intrp,X0: $int] :
( $less(X0,X8)
=> ( eq(X21,X0)
=> ( num_of(X21,X0,X8) = $sum(1,num_of(X21,$sum(X0,1),X8)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_add) ).
tff(f3377,plain,
( spl56_148
| ~ spl56_43
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f3374,f1545,f802,f1772]) ).
tff(f1772,plain,
( spl56_148
<=> $less(sK9,sF45) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_148])]) ).
tff(f3374,plain,
( $less(sK9,sF45)
| ~ spl56_43
| ~ spl56_128 ),
inference(resolution,[],[f804,f1793]) ).
tff(f1793,plain,
( ! [X0: $int] :
( ~ $less(sK6,X0)
| $less(sK9,X0) )
| ~ spl56_128 ),
inference(resolution,[],[f1547,f121]) ).
tff(f3373,plain,
( spl56_279
| spl56_270
| spl56_13
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3368,f2454,f869,f650,f3275,f3370]) ).
tff(f3370,plain,
( spl56_279
<=> ( $sum(0,sF50) = num_of(sF52,sK6,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_279])]) ).
tff(f650,plain,
( spl56_13
<=> $less(sK6,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_13])]) ).
tff(f3368,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ( $sum(0,sF50) = num_of(sF52,sK6,sK9) )
| spl56_13
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3357,f652]) ).
tff(f652,plain,
( ~ $less(sK6,0)
| spl56_13 ),
inference(avatar_component_clause,[],[f650]) ).
tff(f3357,plain,
( $less(sK6,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ( $sum(0,sF50) = num_of(sF52,sK6,sK9) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3355]) ).
tff(f3355,plain,
( $less(0,0)
| $less(sK6,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ( $sum(0,sF50) = num_of(sF52,sK6,sK9) )
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f3214,f544]) ).
tff(f3214,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( num_of(sF52,X0,sK9) = $sum(0,sF50) )
| $less(X0,0) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2570,f479]) ).
tff(f2570,plain,
( ! [X2: $int] :
( ( $sum(num_of(sF52,X2,0),sF50) = num_of(sF52,X2,sK9) )
| $less(0,X2) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2535,f871]) ).
tff(f2535,plain,
( ! [X2: $int] :
( ( $sum(num_of(sF52,X2,0),sF50) = num_of(sF52,X2,sK9) )
| $less(0,X2)
| $less(sK9,0) )
| ~ spl56_194 ),
inference(superposition,[],[f453,f2456]) ).
tff(f453,plain,
! [X2: lparray_intcm_intrp,X3: $int,X0: $int,X1: $int] :
( ( num_of(X2,X3,X1) = $sum(num_of(X2,X3,X0),num_of(X2,X0,X1)) )
| $less(X0,X3)
| $less(X1,X0) ),
inference(cnf_transformation,[],[f326]) ).
tff(f326,plain,
! [X0: $int,X1: $int,X2: lparray_intcm_intrp,X3: $int] :
( $less(X1,X0)
| ( num_of(X2,X3,X1) = $sum(num_of(X2,X3,X0),num_of(X2,X0,X1)) )
| $less(X0,X3) ),
inference(rectify,[],[f235]) ).
tff(f235,plain,
! [X1: $int,X2: $int,X0: lparray_intcm_intrp,X3: $int] :
( $less(X2,X1)
| ( $sum(num_of(X0,X3,X1),num_of(X0,X1,X2)) = num_of(X0,X3,X2) )
| $less(X1,X3) ),
inference(flattening,[],[f234]) ).
tff(f234,plain,
! [X0: lparray_intcm_intrp,X3: $int,X2: $int,X1: $int] :
( ( $sum(num_of(X0,X3,X1),num_of(X0,X1,X2)) = num_of(X0,X3,X2) )
| $less(X1,X3)
| $less(X2,X1) ),
inference(ennf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: lparray_intcm_intrp,X3: $int,X2: $int,X1: $int] :
( ( ~ $less(X1,X3)
& ~ $less(X2,X1) )
=> ( $sum(num_of(X0,X3,X1),num_of(X0,X1,X2)) = num_of(X0,X3,X2) ) ),
inference(rectify,[],[f95]) ).
tff(f95,plain,
! [X21: lparray_intcm_intrp,X8: $int,X22: $int,X0: $int] :
( ( ~ $less(X22,X8)
& ~ $less(X8,X0) )
=> ( num_of(X21,X0,X22) = $sum(num_of(X21,X0,X8),num_of(X21,X8,X22)) ) ),
inference(theory_normalization,[],[f54]) ).
tff(f54,axiom,
! [X21: lparray_intcm_intrp,X8: $int,X22: $int,X0: $int] :
( ( $lesseq(X8,X22)
& $lesseq(X0,X8) )
=> ( num_of(X21,X0,X22) = $sum(num_of(X21,X0,X8),num_of(X21,X8,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_append) ).
tff(f3367,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3366,f2454,f869,f2548]) ).
tff(f2548,plain,
( spl56_205
<=> ( sF50 = $sum(0,sF50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_205])]) ).
tff(f3366,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3358,f2456]) ).
tff(f3358,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3356]) ).
tff(f3356,plain,
( $less(0,0)
| ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(factoring,[],[f3214]) ).
tff(f3365,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3364,f2454,f869,f2548]) ).
tff(f3364,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3359,f2456]) ).
tff(f3359,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3352]) ).
tff(f3352,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| $less(0,0)
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f3214,f120]) ).
tff(f3363,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3362,f2454,f869,f2548]) ).
tff(f3362,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3349,f2456]) ).
tff(f3349,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(interpreted_simplification,[],[f3348]) ).
tff(f3348,plain,
( $less(0,0)
| ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| $less(0,0)
| spl56_56
| ~ spl56_194 ),
inference(instantiation,[],[f3214]) ).
tff(f3347,plain,
( spl56_78
| spl56_278
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3342,f2454,f869,f3344,f1019]) ).
tff(f3344,plain,
( spl56_278
<=> ( 0 = $sum(sF50,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_278])]) ).
tff(f3342,plain,
( ( 0 = $sum(sF50,0) )
| $less(0,sK9)
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3316,f1000]) ).
tff(f3316,plain,
( ( $sum(sF50,0) = num_of(sF52,0,0) )
| $less(0,sK9)
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f2635,f871]) ).
tff(f2635,plain,
( ! [X0: $int] :
( $less(sK9,X0)
| $less(X0,sK9)
| ( num_of(sF52,0,X0) = $sum(sF50,0) ) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2567,f479]) ).
tff(f2567,plain,
( ! [X3: $int] :
( ( $sum(sF50,num_of(sF52,sK9,X3)) = num_of(sF52,0,X3) )
| $less(X3,sK9) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2536,f871]) ).
tff(f2536,plain,
( ! [X3: $int] :
( $less(sK9,0)
| ( $sum(sF50,num_of(sF52,sK9,X3)) = num_of(sF52,0,X3) )
| $less(X3,sK9) )
| ~ spl56_194 ),
inference(superposition,[],[f453,f2456]) ).
tff(f3341,plain,
( spl56_277
| spl56_147
| spl56_56
| spl56_121
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3317,f2454,f1466,f869,f1698,f3338]) ).
tff(f3338,plain,
( spl56_277
<=> ( num_of(sF52,0,sK7) = $sum(sF50,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_277])]) ).
tff(f1698,plain,
( spl56_147
<=> $less(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_147])]) ).
tff(f1466,plain,
( spl56_121
<=> $less(sK9,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_121])]) ).
tff(f3317,plain,
( $less(sK7,sK9)
| ( num_of(sF52,0,sK7) = $sum(sF50,0) )
| spl56_56
| spl56_121
| ~ spl56_194 ),
inference(resolution,[],[f2635,f1468]) ).
tff(f1468,plain,
( ~ $less(sK9,sK7)
| spl56_121 ),
inference(avatar_component_clause,[],[f1466]) ).
tff(f3336,plain,
( spl56_206
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3335,f2454,f869,f2554]) ).
tff(f2554,plain,
( spl56_206
<=> ( $sum(sF50,0) = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_206])]) ).
tff(f3335,plain,
( ( $sum(sF50,0) = sF50 )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3334,f2456]) ).
tff(f3334,plain,
( ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3322,f120]) ).
tff(f3322,plain,
( ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| $less(sK9,sK9)
| spl56_56
| ~ spl56_194 ),
inference(factoring,[],[f2635]) ).
tff(f3333,plain,
( spl56_269
| spl56_276
| ~ spl56_37
| spl56_56
| spl56_99
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3328,f2454,f1275,f869,f773,f3330,f3270]) ).
tff(f3270,plain,
( spl56_269
<=> ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_269])]) ).
tff(f3330,plain,
( spl56_276
<=> ( num_of(sF52,0,sK6) = $sum(sF50,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_276])]) ).
tff(f773,plain,
( spl56_37
<=> ( sF38 = t2tb(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_37])]) ).
tff(f3328,plain,
( ( num_of(sF52,0,sK6) = $sum(sF50,0) )
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ spl56_37
| spl56_56
| spl56_99
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3327,f775]) ).
tff(f775,plain,
( ( sF38 = t2tb(sK9) )
| ~ spl56_37 ),
inference(avatar_component_clause,[],[f773]) ).
tff(f3327,plain,
( ( num_of(sF52,0,sK6) = $sum(sF50,0) )
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| spl56_56
| spl56_99
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3326,f1277]) ).
tff(f3326,plain,
( $less(sK6,sK9)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| ( num_of(sF52,0,sK6) = $sum(sF50,0) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3321,f871]) ).
tff(f3321,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| ( num_of(sF52,0,sK6) = $sum(sF50,0) )
| $less(sK9,0)
| $less(sK6,sK9)
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f2635,f544]) ).
tff(f3325,plain,
( spl56_206
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3324,f2454,f869,f2554]) ).
tff(f3324,plain,
( ( $sum(sF50,0) = sF50 )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3323,f2456]) ).
tff(f3323,plain,
( ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3318,f120]) ).
tff(f3318,plain,
( ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| $less(sK9,sK9)
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f2635,f120]) ).
tff(f3313,plain,
( spl56_269
| ~ spl56_37
| spl56_56
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f3312,f1545,f869,f773,f3270]) ).
tff(f3312,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ spl56_37
| spl56_56
| ~ spl56_128 ),
inference(forward_demodulation,[],[f3311,f775]) ).
tff(f3311,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| spl56_56
| ~ spl56_128 ),
inference(subsumption_resolution,[],[f3245,f871]) ).
tff(f3245,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| $less(sK9,0)
| ~ spl56_128 ),
inference(resolution,[],[f544,f1547]) ).
tff(f3310,plain,
( spl56_270
| ~ spl56_61 ),
inference(avatar_split_clause,[],[f3309,f914,f3275]) ).
tff(f914,plain,
( spl56_61
<=> $less(0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_61])]) ).
tff(f3309,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_61 ),
inference(subsumption_resolution,[],[f3238,f916]) ).
tff(f916,plain,
( $less(0,sK6)
| ~ spl56_61 ),
inference(avatar_component_clause,[],[f914]) ).
tff(f3238,plain,
( ~ $less(0,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) ),
inference(interpreted_simplification,[],[f3237]) ).
tff(f3237,plain,
( ~ $less(0,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| $less(0,0) ),
inference(instantiation,[],[f544]) ).
tff(f3308,plain,
( ~ spl56_275
| spl56_269
| spl56_13
| ~ spl56_37
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3303,f2454,f869,f773,f650,f3270,f3305]) ).
tff(f3305,plain,
( spl56_275
<=> $less(sF50,num_of(sF52,0,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_275])]) ).
tff(f3303,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ $less(sF50,num_of(sF52,0,sK6))
| spl56_13
| ~ spl56_37
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3302,f775]) ).
tff(f3302,plain,
( ~ $less(sF50,num_of(sF52,0,sK6))
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| spl56_13
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3301,f871]) ).
tff(f3301,plain,
( ~ $less(sF50,num_of(sF52,0,sK6))
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| $less(sK9,0)
| spl56_13
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f3246,f652]) ).
tff(f3246,plain,
( $less(sK6,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| $less(sK9,0)
| ~ $less(sF50,num_of(sF52,0,sK6))
| ~ spl56_194 ),
inference(resolution,[],[f544,f2534]) ).
tff(f2534,plain,
( ! [X1: $int] :
( $less(sK9,X1)
| ~ $less(sF50,num_of(sF52,0,X1))
| $less(X1,0) )
| ~ spl56_194 ),
inference(superposition,[],[f423,f2456]) ).
tff(f3300,plain,
( spl56_272
| spl56_273
| spl56_274
| ~ spl56_6
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f3287,f768,f640,f615,f3297,f3293,f3289]) ).
tff(f3293,plain,
( spl56_273
<=> ( sK6 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_273])]) ).
tff(f3297,plain,
( spl56_274
<=> $less(sK6,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_274])]) ).
tff(f3287,plain,
( $less(sK6,sK12)
| ( sK6 = sK12 )
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF43)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| ~ spl56_6
| spl56_11
| ~ spl56_36 ),
inference(forward_demodulation,[],[f3286,f770]) ).
tff(f3286,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK13))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK13))),0,sK7) )
| $less(sK6,sK12)
| ( sK6 = sK12 )
| ~ spl56_6
| spl56_11 ),
inference(subsumption_resolution,[],[f3248,f642]) ).
tff(f3248,plain,
( ( sK6 = sK12 )
| $less(sK6,sK12)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK13))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK13))),0,sK7) )
| $less(sK13,0)
| ~ spl56_6 ),
inference(resolution,[],[f544,f972]) ).
tff(f3285,plain,
( spl56_257
| spl56_271
| ~ spl56_134 ),
inference(avatar_split_clause,[],[f3244,f1606,f3282,f3170]) ).
tff(f3282,plain,
( spl56_271
<=> ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK7))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK7))),0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_271])]) ).
tff(f3244,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK7))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK7))),0,sK7) )
| $less(sK7,0)
| ~ spl56_134 ),
inference(resolution,[],[f544,f1608]) ).
tff(f3278,plain,
( spl56_270
| ~ spl56_61 ),
inference(avatar_split_clause,[],[f3258,f914,f3275]) ).
tff(f3258,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_61 ),
inference(evaluation,[],[f3240]) ).
tff(f3240,plain,
( $less(0,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_61 ),
inference(resolution,[],[f544,f916]) ).
tff(f3273,plain,
( spl56_267
| spl56_268
| spl56_269
| ~ spl56_1
| ~ spl56_37
| spl56_56 ),
inference(avatar_split_clause,[],[f3260,f869,f773,f590,f3270,f3266,f3262]) ).
tff(f3262,plain,
( spl56_267
<=> $less(sK6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_267])]) ).
tff(f3266,plain,
( spl56_268
<=> ( sK2 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_268])]) ).
tff(f590,plain,
( spl56_1
<=> $less(sK9,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_1])]) ).
tff(f3260,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK7) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ( sK2 = sK6 )
| $less(sK6,sK2)
| ~ spl56_1
| ~ spl56_37
| spl56_56 ),
inference(forward_demodulation,[],[f3259,f775]) ).
tff(f3259,plain,
( $less(sK6,sK2)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| ( sK2 = sK6 )
| ~ spl56_1
| spl56_56 ),
inference(subsumption_resolution,[],[f3247,f871]) ).
tff(f3247,plain,
( ( sK2 = sK6 )
| $less(sK6,sK2)
| $less(sK9,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(sK9))),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(sK9))),0,sK7) )
| ~ spl56_1 ),
inference(resolution,[],[f544,f906]) ).
tff(f906,plain,
( ! [X5: $int] :
( $less(sK9,X5)
| $less(X5,sK2)
| ( sK2 = X5 ) )
| ~ spl56_1 ),
inference(resolution,[],[f122,f898]) ).
tff(f898,plain,
( ! [X0: $int] :
( ~ $less(sK2,X0)
| $less(sK9,X0) )
| ~ spl56_1 ),
inference(resolution,[],[f121,f592]) ).
tff(f592,plain,
( $less(sK9,sK2)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f3236,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3235,f2454,f869,f2548]) ).
tff(f3235,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3218,f2456]) ).
tff(f3218,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3215]) ).
tff(f3215,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| $less(0,0)
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2570,f1082]) ).
tff(f1082,plain,
! [X0: lparray_intcm_intrp,X1: $int] : ( 0 = num_of(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f1080]) ).
tff(f1080,plain,
! [X0: lparray_intcm_intrp,X1: $int] :
( ( 0 = num_of(X0,X1,X1) )
| ( 0 = num_of(X0,X1,X1) ) ),
inference(resolution,[],[f500,f499]) ).
tff(f3234,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3233,f2454,f869,f2548]) ).
tff(f3233,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3232,f2456]) ).
tff(f3232,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3213,f1000]) ).
tff(f3213,plain,
( ( num_of(sF52,0,sK9) = $sum(num_of(sF52,0,0),sF50) )
| spl56_56
| ~ spl56_194 ),
inference(interpreted_simplification,[],[f3212]) ).
tff(f3212,plain,
( ( num_of(sF52,0,sK9) = $sum(num_of(sF52,0,0),sF50) )
| $less(0,0)
| spl56_56
| ~ spl56_194 ),
inference(instantiation,[],[f2570]) ).
tff(f3231,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3230,f2454,f869,f2548]) ).
tff(f3230,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f3219,f2456]) ).
tff(f3219,plain,
( ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3216]) ).
tff(f3216,plain,
( $less(0,0)
| ( num_of(sF52,0,sK9) = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2570,f1000]) ).
tff(f3229,plain,
( spl56_265
| spl56_266
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3220,f2454,f869,f3226,f3222]) ).
tff(f3222,plain,
( spl56_265
<=> ( num_of(sF52,-1,sK9) = $sum(1,sF50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_265])]) ).
tff(f3226,plain,
( spl56_266
<=> ( 0 = num_of(sF52,-1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_266])]) ).
tff(f3220,plain,
( ( 0 = num_of(sF52,-1,0) )
| ( num_of(sF52,-1,sK9) = $sum(1,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f3217]) ).
tff(f3217,plain,
( ( 0 = num_of(sF52,-1,0) )
| ( num_of(sF52,-1,sK9) = $sum(1,sF50) )
| $less(0,-1)
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2570,f1679]) ).
tff(f3211,plain,
( spl56_263
| spl56_264
| spl56_42 ),
inference(avatar_split_clause,[],[f3202,f798,f3208,f3204]) ).
tff(f3204,plain,
( spl56_263
<=> ( 0 = sF45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_263])]) ).
tff(f3208,plain,
( spl56_264
<=> $less(0,sF45) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_264])]) ).
tff(f798,plain,
( spl56_42
<=> $less(sF45,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_42])]) ).
tff(f3202,plain,
( $less(0,sF45)
| ( 0 = sF45 )
| spl56_42 ),
inference(resolution,[],[f799,f122]) ).
tff(f799,plain,
( ~ $less(sF45,0)
| spl56_42 ),
inference(avatar_component_clause,[],[f798]) ).
tff(f3201,plain,
( spl56_262
| ~ spl56_34
| ~ spl56_187 ),
inference(avatar_split_clause,[],[f3196,f2375,f758,f3198]) ).
tff(f758,plain,
( spl56_34
<=> ( get(int,int,sF42,sF43) = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_34])]) ).
tff(f2375,plain,
( spl56_187
<=> ( sF42 = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_187])]) ).
tff(f3196,plain,
( ( get(int,int,sF39,sF43) = sF44 )
| ~ spl56_34
| ~ spl56_187 ),
inference(forward_demodulation,[],[f760,f2377]) ).
tff(f2377,plain,
( ( sF42 = sF39 )
| ~ spl56_187 ),
inference(avatar_component_clause,[],[f2375]) ).
tff(f760,plain,
( ( get(int,int,sF42,sF43) = sF44 )
| ~ spl56_34 ),
inference(avatar_component_clause,[],[f758]) ).
tff(f3193,plain,
( spl56_260
| ~ spl56_261
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f2233,f768,f640,f3190,f3186]) ).
tff(f3186,plain,
( spl56_260
<=> ( num_of(tb2t3(tuple21(sF24,int,sF46,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_260])]) ).
tff(f2233,plain,
( ~ $less(sK13,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f2208,f642]) ).
tff(f2208,plain,
( ~ $less(sK13,sK6)
| $less(sK13,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| ~ spl56_36 ),
inference(superposition,[],[f567,f770]) ).
tff(f3184,plain,
( ~ spl56_258
| spl56_259
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f2126,f768,f640,f3181,f3177]) ).
tff(f3181,plain,
( spl56_259
<=> ( num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sF54) = tb2t(get(int,int,sF33,sF43)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_259])]) ).
tff(f2126,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sF54) = tb2t(get(int,int,sF33,sF43)) )
| ~ $less(sK13,k)
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f2073,f642]) ).
tff(f2073,plain,
( $less(sK13,0)
| ~ $less(sK13,k)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sF54) = tb2t(get(int,int,sF33,sF43)) )
| ~ spl56_36 ),
inference(superposition,[],[f580,f770]) ).
tff(f3175,plain,
( ~ spl56_208
| spl56_78
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f3174,f2454,f869,f1019,f2563]) ).
tff(f3174,plain,
( $less(0,sK9)
| ~ $less(0,sF50)
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2541,f871]) ).
tff(f2541,plain,
( $less(0,sK9)
| ~ $less(0,sF50)
| $less(sK9,0)
| ~ spl56_194 ),
inference(superposition,[],[f1201,f2456]) ).
tff(f1201,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ~ $less(0,num_of(X4,X5,X6))
| $less(X5,X6)
| $less(X6,X5) ),
inference(superposition,[],[f423,f1082]) ).
tff(f3173,plain,
( ~ spl56_256
| spl56_257
| spl56_121
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2621,f2454,f1466,f3170,f3166]) ).
tff(f3166,plain,
( spl56_256
<=> $less(sF50,num_of(sF52,0,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_256])]) ).
tff(f2621,plain,
( $less(sK7,0)
| ~ $less(sF50,num_of(sF52,0,sK7))
| spl56_121
| ~ spl56_194 ),
inference(resolution,[],[f2534,f1468]) ).
tff(f3164,plain,
( spl56_255
| spl56_78
| spl56_56 ),
inference(avatar_split_clause,[],[f3160,f869,f1019,f3162]) ).
tff(f3160,plain,
( ! [X13: $int] :
( $less(0,sK9)
| ~ $less(0,num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X13))),0,sK2))
| ~ $less(X13,sK6)
| $less(X13,0) )
| spl56_56 ),
inference(subsumption_resolution,[],[f2219,f871]) ).
tff(f2219,plain,
! [X13: $int] :
( ~ $less(X13,sK6)
| $less(0,sK9)
| $less(sK9,0)
| $less(X13,0)
| ~ $less(0,num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X13))),0,sK2)) ),
inference(superposition,[],[f1201,f567]) ).
tff(f3159,plain,
( spl56_164
| spl56_250 ),
inference(avatar_split_clause,[],[f2343,f3133,f2091]) ).
tff(f3133,plain,
( spl56_250
<=> ! [X8: $int] :
( ~ $less(X8,k)
| ( $sum(0,tb2t(get(int,int,sF33,t2tb(X8)))) = tb2t(get(int,int,sF33,t2tb(X8))) )
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_250])]) ).
tff(f2343,plain,
! [X5: $int] :
( ( $sum(0,tb2t(get(int,int,sF33,t2tb(X5)))) = tb2t(get(int,int,sF33,t2tb(X5))) )
| $less(sF54,0)
| ~ $less(X5,k)
| $less(X5,0) ),
inference(superposition,[],[f1720,f580]) ).
tff(f1720,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( ( $sum(0,num_of(X7,0,X8)) = num_of(X7,0,X8) )
| $less(X8,0) ),
inference(evaluation,[],[f1715]) ).
tff(f1715,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( $less(0,0)
| $less(X8,0)
| ( $sum(0,num_of(X7,0,X8)) = num_of(X7,0,X8) ) ),
inference(superposition,[],[f453,f1000]) ).
tff(f3158,plain,
( ~ spl56_78
| spl56_254 ),
inference(avatar_split_clause,[],[f2217,f3156,f1019]) ).
tff(f2217,plain,
! [X11: $int] :
( ~ $less(X11,sK6)
| ~ $less(0,sK9)
| $less(X11,0)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X11))),0,sK2),0) ),
inference(superposition,[],[f508,f567]) ).
tff(f508,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ~ $less(num_of(X2,X0,X1),0)
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
tff(f364,plain,
! [X0: $int,X1: $int,X2: lparray_intcm_intrp] :
( ~ $less(X0,X1)
| ( ~ $less(num_of(X2,X0,X1),0)
& ~ $less($sum(X1,$uminus(X0)),num_of(X2,X0,X1)) ) ),
inference(rectify,[],[f251]) ).
tff(f251,plain,
! [X1: $int,X0: $int,X2: lparray_intcm_intrp] :
( ~ $less(X1,X0)
| ( ~ $less(num_of(X2,X1,X0),0)
& ~ $less($sum(X0,$uminus(X1)),num_of(X2,X1,X0)) ) ),
inference(ennf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: $int,X2: lparray_intcm_intrp,X1: $int] :
( $less(X1,X0)
=> ( ~ $less(num_of(X2,X1,X0),0)
& ~ $less($sum(X0,$uminus(X1)),num_of(X2,X1,X0)) ) ),
inference(rectify,[],[f91]) ).
tff(f91,plain,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( $less(X0,X8)
=> ( ~ $less(num_of(X21,X0,X8),0)
& ~ $less($sum(X8,$uminus(X0)),num_of(X21,X0,X8)) ) ),
inference(theory_normalization,[],[f53]) ).
tff(f53,axiom,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( $less(X0,X8)
=> ( $lesseq(0,num_of(X21,X0,X8))
& $lesseq(num_of(X21,X0,X8),$difference(X8,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_bounds) ).
tff(f3154,plain,
( spl56_78
| spl56_249 ),
inference(avatar_split_clause,[],[f2209,f3129,f1019]) ).
tff(f3129,plain,
( spl56_249
<=> ! [X9: $int] :
( ~ $less(X9,sK6)
| ( 0 = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X9))),0,sK2) )
| $less(X9,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_249])]) ).
tff(f2209,plain,
! [X1: $int] :
( ~ $less(X1,sK6)
| $less(X1,0)
| $less(0,sK9)
| ( 0 = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X1))),0,sK2) ) ),
inference(superposition,[],[f567,f479]) ).
tff(f3153,plain,
( spl56_119
| ~ spl56_252
| ~ spl56_197
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2463,f1126,f2488,f3144,f1450]) ).
tff(f1450,plain,
( spl56_119
<=> $less(sF35,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_119])]) ).
tff(f3144,plain,
( spl56_252
<=> $less(sF35,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_252])]) ).
tff(f2488,plain,
( spl56_197
<=> $less(tb2t(get(int,int,sF31,sF34)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_197])]) ).
tff(f1126,plain,
( spl56_87
<=> ( sF34 = t2tb(sF35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_87])]) ).
tff(f2463,plain,
( ~ $less(tb2t(get(int,int,sF31,sF34)),0)
| ~ $less(sF35,sK7)
| $less(sF35,0)
| ~ spl56_87 ),
inference(superposition,[],[f546,f1128]) ).
tff(f1128,plain,
( ( sF34 = t2tb(sF35) )
| ~ spl56_87 ),
inference(avatar_component_clause,[],[f1126]) ).
tff(f546,plain,
! [X8: $int] :
( ~ $less(tb2t(get(int,int,sF31,t2tb(X8))),0)
| ~ $less(X8,sK7)
| $less(X8,0) ),
inference(definition_folding,[],[f405,f542]) ).
tff(f405,plain,
! [X8: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),0)
| $less(X8,0)
| ~ $less(X8,sK7) ),
inference(cnf_transformation,[],[f297]) ).
tff(f3152,plain,
( spl56_253
| ~ spl56_39
| ~ spl56_44 ),
inference(avatar_split_clause,[],[f2647,f807,f783,f3149]) ).
tff(f783,plain,
( spl56_39
<=> ( sF30 = num_of1(sF29,0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_39])]) ).
tff(f807,plain,
( spl56_44
<=> ( sF30 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_44])]) ).
tff(f2647,plain,
( ( num_of1(sF29,0,sK2) = sK7 )
| ~ spl56_39
| ~ spl56_44 ),
inference(forward_demodulation,[],[f785,f809]) ).
tff(f809,plain,
( ( sF30 = sK7 )
| ~ spl56_44 ),
inference(avatar_component_clause,[],[f807]) ).
tff(f785,plain,
( ( sF30 = num_of1(sF29,0,sK2) )
| ~ spl56_39 ),
inference(avatar_component_clause,[],[f783]) ).
tff(f3147,plain,
( spl56_199
| ~ spl56_252
| spl56_119
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2462,f1126,f1450,f3144,f2498]) ).
tff(f2498,plain,
( spl56_199
<=> $less(tb2t(get(int,int,sF31,sF34)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_199])]) ).
tff(f2462,plain,
( $less(sF35,0)
| ~ $less(sF35,sK7)
| $less(tb2t(get(int,int,sF31,sF34)),sK6)
| ~ spl56_87 ),
inference(superposition,[],[f545,f1128]) ).
tff(f545,plain,
! [X8: $int] :
( $less(tb2t(get(int,int,sF31,t2tb(X8))),sK6)
| ~ $less(X8,sK7)
| $less(X8,0) ),
inference(definition_folding,[],[f406,f542]) ).
tff(f406,plain,
! [X8: $int] :
( $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X8))),sK6)
| $less(X8,0)
| ~ $less(X8,sK7) ),
inference(cnf_transformation,[],[f297]) ).
tff(f3142,plain,
( ~ spl56_124
| spl56_96
| ~ spl56_138 ),
inference(avatar_split_clause,[],[f3141,f1635,f1214,f1490]) ).
tff(f1490,plain,
( spl56_124
<=> $less(sF45,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_124])]) ).
tff(f1214,plain,
( spl56_96
<=> $less(sF45,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_96])]) ).
tff(f1635,plain,
( spl56_138
<=> ( sK9 = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_138])]) ).
tff(f3141,plain,
( ~ $less(sF45,sK9)
| spl56_96
| ~ spl56_138 ),
inference(forward_demodulation,[],[f1215,f1637]) ).
tff(f1637,plain,
( ( sK9 = sK13 )
| ~ spl56_138 ),
inference(avatar_component_clause,[],[f1635]) ).
tff(f1215,plain,
( ~ $less(sF45,sK13)
| spl56_96 ),
inference(avatar_component_clause,[],[f1214]) ).
tff(f3140,plain,
( spl56_207
| spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2537,f2454,f1019,f2559]) ).
tff(f2559,plain,
( spl56_207
<=> ( 0 = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_207])]) ).
tff(f2537,plain,
( $less(0,sK9)
| ( 0 = sF50 )
| ~ spl56_194 ),
inference(superposition,[],[f479,f2456]) ).
tff(f3139,plain,
( spl56_164
| spl56_251 ),
inference(avatar_split_clause,[],[f2432,f3137,f2091]) ).
tff(f3137,plain,
( spl56_251
<=> ! [X8: $int] :
( ( tb2t(get(int,int,sF33,t2tb(X8))) = $sum(tb2t(get(int,int,sF33,t2tb(X8))),0) )
| $less(X8,0)
| ~ $less(X8,k) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_251])]) ).
tff(f2432,plain,
! [X8: $int] :
( ( tb2t(get(int,int,sF33,t2tb(X8))) = $sum(tb2t(get(int,int,sF33,t2tb(X8))),0) )
| ~ $less(X8,k)
| $less(X8,0)
| $less(sF54,0) ),
inference(superposition,[],[f1723,f580]) ).
tff(f1723,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ( num_of(X4,X6,X5) = $sum(num_of(X4,X6,X5),0) )
| $less(X5,X6) ),
inference(subsumption_resolution,[],[f1717,f120]) ).
tff(f1717,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( $less(X5,X6)
| ( num_of(X4,X6,X5) = $sum(num_of(X4,X6,X5),0) )
| $less(X5,X5) ),
inference(superposition,[],[f453,f1082]) ).
tff(f3135,plain,
( spl56_164
| spl56_250 ),
inference(avatar_split_clause,[],[f2364,f3133,f2091]) ).
tff(f2364,plain,
! [X8: $int] :
( ~ $less(X8,k)
| $less(sF54,0)
| $less(X8,0)
| ( $sum(0,tb2t(get(int,int,sF33,t2tb(X8)))) = tb2t(get(int,int,sF33,t2tb(X8))) ) ),
inference(superposition,[],[f1721,f580]) ).
tff(f1721,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ( $sum(0,num_of(X4,X5,X6)) = num_of(X4,X5,X6) )
| $less(X6,X5) ),
inference(subsumption_resolution,[],[f1714,f120]) ).
tff(f1714,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( $less(X6,X5)
| ( $sum(0,num_of(X4,X5,X6)) = num_of(X4,X5,X6) )
| $less(X5,X5) ),
inference(superposition,[],[f453,f1082]) ).
tff(f3131,plain,
( spl56_78
| spl56_249 ),
inference(avatar_split_clause,[],[f2215,f3129,f1019]) ).
tff(f2215,plain,
! [X9: $int] :
( ~ $less(X9,sK6)
| $less(X9,0)
| ( 0 = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X9))),0,sK2) )
| $less(0,sK9) ),
inference(superposition,[],[f479,f567]) ).
tff(f3127,plain,
( spl56_78
| ~ spl56_208
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2597,f2454,f869,f2563,f1019]) ).
tff(f2597,plain,
( ~ $less(0,sF50)
| $less(0,sK9)
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2577,f1000]) ).
tff(f3126,plain,
( spl56_207
| spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2530,f2454,f1019,f2559]) ).
tff(f2530,plain,
( $less(0,sK9)
| ( 0 = sF50 )
| ~ spl56_194 ),
inference(superposition,[],[f2456,f479]) ).
tff(f3125,plain,
( ~ spl56_146
| ~ spl56_138
| spl56_140 ),
inference(avatar_split_clause,[],[f3124,f1662,f1635,f1694]) ).
tff(f1662,plain,
( spl56_140
<=> ( sK7 = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_140])]) ).
tff(f3124,plain,
( ( sK9 != sK7 )
| ~ spl56_138
| spl56_140 ),
inference(forward_demodulation,[],[f1663,f1637]) ).
tff(f1663,plain,
( ( sK7 != sK13 )
| spl56_140 ),
inference(avatar_component_clause,[],[f1662]) ).
tff(f3123,plain,
( ~ spl56_78
| ~ spl56_209
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2539,f2454,f2573,f1019]) ).
tff(f2539,plain,
( ~ $less(sF50,0)
| ~ $less(0,sK9)
| ~ spl56_194 ),
inference(superposition,[],[f508,f2456]) ).
tff(f3122,plain,
( ~ spl56_208
| spl56_78
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2600,f2454,f869,f1019,f2563]) ).
tff(f2600,plain,
( $less(0,sK9)
| ~ $less(0,sF50)
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2577,f1082]) ).
tff(f3121,plain,
( spl56_248
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f2221,f1019,f3119]) ).
tff(f3119,plain,
( spl56_248
<=> ! [X10: $int] :
( ~ $less($sum(sK9,0),num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X10))),0,sK2))
| $less(X10,0)
| ~ $less(X10,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_248])]) ).
tff(f2221,plain,
! [X10: $int] :
( ~ $less(0,sK9)
| ~ $less($sum(sK9,0),num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X10))),0,sK2))
| ~ $less(X10,sK6)
| $less(X10,0) ),
inference(evaluation,[],[f2216]) ).
tff(f2216,plain,
! [X10: $int] :
( ~ $less(X10,sK6)
| ~ $less($sum(sK9,$uminus(0)),num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X10))),0,sK2))
| $less(X10,0)
| ~ $less(0,sK9) ),
inference(superposition,[],[f507,f567]) ).
tff(f507,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ~ $less($sum(X1,$uminus(X0)),num_of(X2,X0,X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
tff(f3117,plain,
( spl56_147
| ~ spl56_138
| ~ spl56_141 ),
inference(avatar_split_clause,[],[f3116,f1666,f1635,f1698]) ).
tff(f1666,plain,
( spl56_141
<=> $less(sK7,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_141])]) ).
tff(f3116,plain,
( $less(sK7,sK9)
| ~ spl56_138
| ~ spl56_141 ),
inference(forward_demodulation,[],[f1668,f1637]) ).
tff(f1668,plain,
( $less(sK7,sK13)
| ~ spl56_141 ),
inference(avatar_component_clause,[],[f1666]) ).
tff(f3114,plain,
( ~ spl56_210
| ~ spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2545,f2454,f1019,f2580]) ).
tff(f2580,plain,
( spl56_210
<=> $less($sum(sK9,0),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_210])]) ).
tff(f2545,plain,
( ~ $less(0,sK9)
| ~ $less($sum(sK9,0),sF50)
| ~ spl56_194 ),
inference(evaluation,[],[f2538]) ).
tff(f2538,plain,
( ~ $less($sum(sK9,$uminus(0)),sF50)
| ~ $less(0,sK9)
| ~ spl56_194 ),
inference(superposition,[],[f507,f2456]) ).
tff(f3113,plain,
( spl56_247
| ~ spl56_83
| ~ spl56_221 ),
inference(avatar_split_clause,[],[f3077,f2705,f1053,f3110]) ).
tff(f3110,plain,
( spl56_247
<=> $less(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_247])]) ).
tff(f2705,plain,
( spl56_221
<=> ( sF35 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_221])]) ).
tff(f3077,plain,
( $less(sK8,sK6)
| ~ spl56_83
| ~ spl56_221 ),
inference(superposition,[],[f1055,f2707]) ).
tff(f2707,plain,
( ( sF35 = sK6 )
| ~ spl56_221 ),
inference(avatar_component_clause,[],[f2705]) ).
tff(f3108,plain,
( ~ spl56_246
| spl56_60
| ~ spl56_221 ),
inference(avatar_split_clause,[],[f3075,f2705,f890,f3105]) ).
tff(f3105,plain,
( spl56_246
<=> $less(sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_246])]) ).
tff(f890,plain,
( spl56_60
<=> $less(sF35,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_60])]) ).
tff(f3075,plain,
( ~ $less(sK6,sK8)
| spl56_60
| ~ spl56_221 ),
inference(superposition,[],[f892,f2707]) ).
tff(f892,plain,
( ~ $less(sF35,sK8)
| spl56_60 ),
inference(avatar_component_clause,[],[f890]) ).
tff(f3103,plain,
( spl56_245
| ~ spl56_15
| ~ spl56_87
| ~ spl56_221 ),
inference(avatar_split_clause,[],[f3098,f2705,f1126,f660,f3100]) ).
tff(f3100,plain,
( spl56_245
<=> ( sF34 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_245])]) ).
tff(f660,plain,
( spl56_15
<=> ( t2tb(sK6) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_15])]) ).
tff(f3098,plain,
( ( sF34 = sF27 )
| ~ spl56_15
| ~ spl56_87
| ~ spl56_221 ),
inference(forward_demodulation,[],[f3078,f662]) ).
tff(f662,plain,
( ( t2tb(sK6) = sF27 )
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f660]) ).
tff(f3078,plain,
( ( t2tb(sK6) = sF34 )
| ~ spl56_87
| ~ spl56_221 ),
inference(superposition,[],[f1128,f2707]) ).
tff(f3097,plain,
( ~ spl56_244
| spl56_31
| ~ spl56_221 ),
inference(avatar_split_clause,[],[f3074,f2705,f743,f3094]) ).
tff(f3094,plain,
( spl56_244
<=> $less(sK6,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_244])]) ).
tff(f743,plain,
( spl56_31
<=> $less(sF35,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_31])]) ).
tff(f3074,plain,
( ~ $less(sK6,1)
| spl56_31
| ~ spl56_221 ),
inference(superposition,[],[f745,f2707]) ).
tff(f745,plain,
( ~ $less(sF35,1)
| spl56_31 ),
inference(avatar_component_clause,[],[f743]) ).
tff(f3092,plain,
( spl56_243
| ~ spl56_72
| ~ spl56_221 ),
inference(avatar_split_clause,[],[f3076,f2705,f964,f3089]) ).
tff(f3089,plain,
( spl56_243
<=> $less(1,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_243])]) ).
tff(f964,plain,
( spl56_72
<=> $less(1,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_72])]) ).
tff(f3076,plain,
( $less(1,sK6)
| ~ spl56_72
| ~ spl56_221 ),
inference(superposition,[],[f966,f2707]) ).
tff(f966,plain,
( $less(1,sF35)
| ~ spl56_72 ),
inference(avatar_component_clause,[],[f964]) ).
tff(f3087,plain,
( ~ spl56_57
| spl56_202
| ~ spl56_221 ),
inference(avatar_contradiction_clause,[],[f3086]) ).
tff(f3086,plain,
( $false
| ~ spl56_57
| spl56_202
| ~ spl56_221 ),
inference(subsumption_resolution,[],[f3085,f876]) ).
tff(f3085,plain,
( ~ $less(sK6,k)
| spl56_202
| ~ spl56_221 ),
inference(superposition,[],[f2515,f2707]) ).
tff(f2515,plain,
( ~ $less(sF35,k)
| spl56_202 ),
inference(avatar_component_clause,[],[f2513]) ).
tff(f2513,plain,
( spl56_202
<=> $less(sF35,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_202])]) ).
tff(f3054,plain,
( spl56_241
| spl56_242
| spl56_213 ),
inference(avatar_split_clause,[],[f3045,f2610,f3051,f3047]) ).
tff(f3047,plain,
( spl56_241
<=> ( 1 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_241])]) ).
tff(f3051,plain,
( spl56_242
<=> $less(sK9,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_242])]) ).
tff(f2610,plain,
( spl56_213
<=> $less(1,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_213])]) ).
tff(f3045,plain,
( $less(sK9,1)
| ( 1 = sK9 )
| spl56_213 ),
inference(resolution,[],[f2611,f122]) ).
tff(f2611,plain,
( ~ $less(1,sK9)
| spl56_213 ),
inference(avatar_component_clause,[],[f2610]) ).
tff(f3044,plain,
( spl56_240
| ~ spl56_58 ),
inference(avatar_split_clause,[],[f3039,f879,f3041]) ).
tff(f3041,plain,
( spl56_240
<=> ( tuple2_proj_2(sF24,int,sF28) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_240])]) ).
tff(f879,plain,
( spl56_58
<=> ( tuple21(sF24,int,sF26,sF27) = sF28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_58])]) ).
tff(f3039,plain,
( ( tuple2_proj_2(sF24,int,sF28) = sF27 )
| ~ spl56_58 ),
inference(subsumption_resolution,[],[f3030,f894]) ).
tff(f3030,plain,
( ~ sort(int,sF27)
| ( tuple2_proj_2(sF24,int,sF28) = sF27 )
| ~ spl56_58 ),
inference(superposition,[],[f491,f881]) ).
tff(f881,plain,
( ( tuple21(sF24,int,sF26,sF27) = sF28 )
| ~ spl56_58 ),
inference(avatar_component_clause,[],[f879]) ).
tff(f491,plain,
! [X2: uni,X3: ty,X0: uni,X1: ty] :
( ( tuple2_proj_2(X1,X3,tuple21(X1,X3,X0,X2)) = X2 )
| ~ sort(X3,X2) ),
inference(cnf_transformation,[],[f352]) ).
tff(f352,plain,
! [X0: uni,X1: ty,X2: uni,X3: ty] :
( ~ sort(X3,X2)
| ( tuple2_proj_2(X1,X3,tuple21(X1,X3,X0,X2)) = X2 ) ),
inference(rectify,[],[f262]) ).
tff(f262,plain,
! [X2: uni,X0: ty,X3: uni,X1: ty] :
( ~ sort(X1,X3)
| ( tuple2_proj_2(X0,X1,tuple21(X0,X1,X2,X3)) = X3 ) ),
inference(ennf_transformation,[],[f194]) ).
tff(f194,plain,
! [X2: uni,X1: ty,X0: ty,X3: uni] :
( sort(X1,X3)
=> ( tuple2_proj_2(X0,X1,tuple21(X0,X1,X2,X3)) = X3 ) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X10: ty,X0: ty,X6: uni,X13: uni] :
( sort(X0,X13)
=> ( tuple2_proj_2(X10,X0,tuple21(X10,X0,X6,X13)) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuple2_proj_2_def) ).
tff(f3038,plain,
( spl56_239
| ~ spl56_41
| ~ spl56_58 ),
inference(avatar_split_clause,[],[f3033,f879,f793,f3035]) ).
tff(f3035,plain,
( spl56_239
<=> ( sF26 = tuple2_proj_1(sF24,int,sF28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_239])]) ).
tff(f793,plain,
( spl56_41
<=> ( array(int) = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_41])]) ).
tff(f3033,plain,
( ( sF26 = tuple2_proj_1(sF24,int,sF28) )
| ~ spl56_41
| ~ spl56_58 ),
inference(subsumption_resolution,[],[f3031,f1483]) ).
tff(f1483,plain,
( ! [X2: uni] : sort(sF24,X2)
| ~ spl56_41 ),
inference(superposition,[],[f895,f795]) ).
tff(f795,plain,
( ( array(int) = sF24 )
| ~ spl56_41 ),
inference(avatar_component_clause,[],[f793]) ).
tff(f895,plain,
! [X1: uni] : sort(array(int),X1),
inference(superposition,[],[f365,f481]) ).
tff(f481,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X15: uni] : ( t2tb2(tb2t2(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2) ).
tff(f365,plain,
! [X0: array_int] : sort(array(int),t2tb2(X0)),
inference(cnf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: array_int] : sort(array(int),t2tb2(X0)),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X1: array_int] : sort(array(int),t2tb2(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f3031,plain,
( ( sF26 = tuple2_proj_1(sF24,int,sF28) )
| ~ sort(sF24,sF26)
| ~ spl56_58 ),
inference(superposition,[],[f490,f881]) ).
tff(f490,plain,
! [X2: uni,X3: ty,X0: ty,X1: uni] :
( ( tuple2_proj_1(X3,X0,tuple21(X3,X0,X1,X2)) = X1 )
| ~ sort(X3,X1) ),
inference(cnf_transformation,[],[f351]) ).
tff(f351,plain,
! [X0: ty,X1: uni,X2: uni,X3: ty] :
( ~ sort(X3,X1)
| ( tuple2_proj_1(X3,X0,tuple21(X3,X0,X1,X2)) = X1 ) ),
inference(rectify,[],[f269]) ).
tff(f269,plain,
! [X3: ty,X1: uni,X2: uni,X0: ty] :
( ~ sort(X0,X1)
| ( tuple2_proj_1(X0,X3,tuple21(X0,X3,X1,X2)) = X1 ) ),
inference(ennf_transformation,[],[f164]) ).
tff(f164,plain,
! [X1: uni,X0: ty,X2: uni,X3: ty] :
( sort(X0,X1)
=> ( tuple2_proj_1(X0,X3,tuple21(X0,X3,X1,X2)) = X1 ) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X10: ty,X6: uni,X13: uni,X0: ty] :
( sort(X10,X6)
=> ( tuple2_proj_1(X10,X0,tuple21(X10,X0,X6,X13)) = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuple2_proj_1_def) ).
tff(f3020,plain,
( ~ spl56_238
| ~ spl56_1
| spl56_56
| spl56_121
| ~ spl56_146
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f3019,f2650,f1694,f1466,f869,f590,f3010]) ).
tff(f3010,plain,
( spl56_238
<=> $less(sK9,num_of1(sF29,0,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_238])]) ).
tff(f3019,plain,
( ~ $less(sK9,num_of1(sF29,0,sK9))
| ~ spl56_1
| spl56_56
| spl56_121
| ~ spl56_146
| ~ spl56_215 ),
inference(forward_demodulation,[],[f3018,f1696]) ).
tff(f1696,plain,
( ( sK9 = sK7 )
| ~ spl56_146 ),
inference(avatar_component_clause,[],[f1694]) ).
tff(f3018,plain,
( ~ $less(sK9,num_of1(sF29,0,sK7))
| ~ spl56_1
| spl56_56
| spl56_121
| ~ spl56_146
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f3017,f871]) ).
tff(f3017,plain,
( ~ $less(sK9,num_of1(sF29,0,sK7))
| $less(sK9,0)
| ~ spl56_1
| spl56_121
| ~ spl56_146
| ~ spl56_215 ),
inference(forward_demodulation,[],[f3000,f1696]) ).
tff(f3000,plain,
( $less(sK7,0)
| ~ $less(sK9,num_of1(sF29,0,sK7))
| ~ spl56_1
| spl56_121
| ~ spl56_215 ),
inference(resolution,[],[f2830,f1468]) ).
tff(f2830,plain,
( ! [X2: $int] :
( $less(sK9,X2)
| $less(X2,0)
| ~ $less(sK9,num_of1(sF29,0,X2)) )
| ~ spl56_1
| ~ spl56_215 ),
inference(resolution,[],[f2662,f898]) ).
tff(f2662,plain,
( ! [X2: $int] :
( $less(sK2,X2)
| ~ $less(sK9,num_of1(sF29,0,X2))
| $less(X2,0) )
| ~ spl56_215 ),
inference(superposition,[],[f496,f2652]) ).
tff(f2652,plain,
( ( sK9 = num_of1(sF29,0,sK2) )
| ~ spl56_215 ),
inference(avatar_component_clause,[],[f2650]) ).
tff(f3013,plain,
( ~ spl56_238
| ~ spl56_1
| spl56_56
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f3008,f2650,f869,f590,f3010]) ).
tff(f3008,plain,
( ~ $less(sK9,num_of1(sF29,0,sK9))
| ~ spl56_1
| spl56_56
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f3001,f871]) ).
tff(f3001,plain,
( ~ $less(sK9,num_of1(sF29,0,sK9))
| $less(sK9,0)
| ~ spl56_1
| ~ spl56_215 ),
inference(resolution,[],[f2830,f120]) ).
tff(f2996,plain,
( spl56_237
| ~ spl56_75
| ~ spl56_184 ),
inference(avatar_split_clause,[],[f2980,f2262,f985,f2993]) ).
tff(f2993,plain,
( spl56_237
<=> $less(sF54,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_237])]) ).
tff(f985,plain,
( spl56_75
<=> $less(1,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_75])]) ).
tff(f2262,plain,
( spl56_184
<=> $less(sF54,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_184])]) ).
tff(f2980,plain,
( $less(sF54,sK8)
| ~ spl56_75
| ~ spl56_184 ),
inference(resolution,[],[f2349,f987]) ).
tff(f987,plain,
( $less(1,sK8)
| ~ spl56_75 ),
inference(avatar_component_clause,[],[f985]) ).
tff(f2349,plain,
( ! [X0: $int] :
( ~ $less(1,X0)
| $less(sF54,X0) )
| ~ spl56_184 ),
inference(resolution,[],[f2264,f121]) ).
tff(f2264,plain,
( $less(sF54,1)
| ~ spl56_184 ),
inference(avatar_component_clause,[],[f2262]) ).
tff(f2991,plain,
( spl56_236
| ~ spl56_184 ),
inference(avatar_split_clause,[],[f2978,f2262,f2988]) ).
tff(f2988,plain,
( spl56_236
<=> $less(sF54,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_236])]) ).
tff(f2978,plain,
( $less(sF54,2)
| ~ spl56_184 ),
inference(interpreted_simplification,[],[f2977]) ).
tff(f2977,plain,
( ~ $less(1,2)
| $less(sF54,2)
| ~ spl56_184 ),
inference(instantiation,[],[f2349]) ).
tff(f2986,plain,
( spl56_235
| ~ spl56_72
| ~ spl56_184 ),
inference(avatar_split_clause,[],[f2979,f2262,f964,f2983]) ).
tff(f2983,plain,
( spl56_235
<=> $less(sF54,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_235])]) ).
tff(f2979,plain,
( $less(sF54,sF35)
| ~ spl56_72
| ~ spl56_184 ),
inference(resolution,[],[f2349,f966]) ).
tff(f2910,plain,
( spl56_234
| ~ spl56_40 ),
inference(avatar_split_clause,[],[f2905,f788,f2907]) ).
tff(f2907,plain,
( spl56_234
<=> ( tuple2_proj_2(sF24,int,sF51) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_234])]) ).
tff(f788,plain,
( spl56_40
<=> ( tuple21(sF24,int,sF46,sF27) = sF51 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_40])]) ).
tff(f2905,plain,
( ( tuple2_proj_2(sF24,int,sF51) = sF27 )
| ~ spl56_40 ),
inference(subsumption_resolution,[],[f2896,f894]) ).
tff(f2896,plain,
( ( tuple2_proj_2(sF24,int,sF51) = sF27 )
| ~ sort(int,sF27)
| ~ spl56_40 ),
inference(superposition,[],[f491,f790]) ).
tff(f790,plain,
( ( tuple21(sF24,int,sF46,sF27) = sF51 )
| ~ spl56_40 ),
inference(avatar_component_clause,[],[f788]) ).
tff(f2904,plain,
( spl56_233
| ~ spl56_40
| ~ spl56_41 ),
inference(avatar_split_clause,[],[f2899,f793,f788,f2901]) ).
tff(f2901,plain,
( spl56_233
<=> ( tuple2_proj_1(sF24,int,sF51) = sF46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_233])]) ).
tff(f2899,plain,
( ( tuple2_proj_1(sF24,int,sF51) = sF46 )
| ~ spl56_40
| ~ spl56_41 ),
inference(subsumption_resolution,[],[f2897,f1483]) ).
tff(f2897,plain,
( ( tuple2_proj_1(sF24,int,sF51) = sF46 )
| ~ sort(sF24,sF46)
| ~ spl56_40 ),
inference(superposition,[],[f490,f790]) ).
tff(f2892,plain,
( spl56_225
| ~ spl56_83
| ~ spl56_176 ),
inference(avatar_split_clause,[],[f2890,f2164,f1053,f2731]) ).
tff(f2731,plain,
( spl56_225
<=> $less(sK9,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_225])]) ).
tff(f2164,plain,
( spl56_176
<=> $less(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_176])]) ).
tff(f2890,plain,
( $less(sK9,sF35)
| ~ spl56_83
| ~ spl56_176 ),
inference(resolution,[],[f2273,f1055]) ).
tff(f2273,plain,
( ! [X0: $int] :
( ~ $less(sK8,X0)
| $less(sK9,X0) )
| ~ spl56_176 ),
inference(resolution,[],[f2166,f121]) ).
tff(f2166,plain,
( $less(sK9,sK8)
| ~ spl56_176 ),
inference(avatar_component_clause,[],[f2164]) ).
tff(f2889,plain,
( spl56_228
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2856,f2650,f1019,f665,f2765]) ).
tff(f2765,plain,
( spl56_228
<=> $less(-1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_228])]) ).
tff(f2856,plain,
( $less(-1,sK2)
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(interpreted_simplification,[],[f2855]) ).
tff(f2855,plain,
( ~ $less(-1,0)
| $less(-1,sK2)
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(instantiation,[],[f2761]) ).
tff(f2761,plain,
( ! [X11: $int] :
( ~ $less(X11,0)
| $less(X11,sK2) )
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(resolution,[],[f2746,f120]) ).
tff(f2746,plain,
( ! [X8: $int,X7: $int] :
( $less(0,X8)
| ~ $less(X7,X8)
| $less(X7,sK2) )
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(resolution,[],[f2719,f121]) ).
tff(f2719,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK2) )
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f2717,f1021]) ).
tff(f2717,plain,
( ! [X0: $int] :
( $less(X0,sK2)
| ~ $less(0,sK9)
| $less(0,X0) )
| spl56_16
| ~ spl56_215 ),
inference(superposition,[],[f2668,f437]) ).
tff(f2668,plain,
( ! [X3: $int] :
( ~ $less(num_of1(sF29,0,X3),sK9)
| $less(X3,sK2) )
| spl56_16
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f2663,f667]) ).
tff(f2663,plain,
( ! [X3: $int] :
( ~ $less(num_of1(sF29,0,X3),sK9)
| $less(sK2,0)
| $less(X3,sK2) )
| ~ spl56_215 ),
inference(superposition,[],[f496,f2652]) ).
tff(f2888,plain,
( spl56_227
| spl56_16
| ~ spl56_78
| ~ spl56_164
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2880,f2650,f2091,f1019,f665,f2748]) ).
tff(f2748,plain,
( spl56_227
<=> $less(sF54,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_227])]) ).
tff(f2880,plain,
( $less(sF54,sK2)
| spl56_16
| ~ spl56_78
| ~ spl56_164
| ~ spl56_215 ),
inference(resolution,[],[f2761,f2093]) ).
tff(f2093,plain,
( $less(sF54,0)
| ~ spl56_164 ),
inference(avatar_component_clause,[],[f2091]) ).
tff(f2846,plain,
( spl56_232
| ~ spl56_34
| ~ spl56_156
| ~ spl56_187 ),
inference(avatar_split_clause,[],[f2841,f2375,f1933,f758,f2843]) ).
tff(f2843,plain,
( spl56_232
<=> ( sF44 = get(int,int,sF39,sF38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_232])]) ).
tff(f2841,plain,
( ( sF44 = get(int,int,sF39,sF38) )
| ~ spl56_34
| ~ spl56_156
| ~ spl56_187 ),
inference(forward_demodulation,[],[f2840,f2377]) ).
tff(f2840,plain,
( ( get(int,int,sF42,sF38) = sF44 )
| ~ spl56_34
| ~ spl56_156 ),
inference(forward_demodulation,[],[f760,f1935]) ).
tff(f1935,plain,
( ( sF38 = sF43 )
| ~ spl56_156 ),
inference(avatar_component_clause,[],[f1933]) ).
tff(f2810,plain,
( spl56_110
| spl56_227
| spl56_16
| ~ spl56_42
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2797,f2650,f2108,f1019,f798,f665,f2748,f1366]) ).
tff(f1366,plain,
( spl56_110
<=> $less(sF45,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_110])]) ).
tff(f2797,plain,
( $less(sF54,sK2)
| $less(sF45,sK2)
| spl56_16
| ~ spl56_42
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2760,f2741]) ).
tff(f2741,plain,
( ! [X0: $int] :
( $less(sF45,X0)
| $less(X0,sK2) )
| spl56_16
| ~ spl56_42
| ~ spl56_78
| ~ spl56_215 ),
inference(resolution,[],[f2719,f900]) ).
tff(f900,plain,
( ! [X2: $int] :
( ~ $less(0,X2)
| $less(sF45,X2) )
| ~ spl56_42 ),
inference(resolution,[],[f121,f800]) ).
tff(f800,plain,
( $less(sF45,0)
| ~ spl56_42 ),
inference(avatar_component_clause,[],[f798]) ).
tff(f2760,plain,
( ! [X10: $int] :
( ~ $less(X10,sF54)
| $less(X10,sK2) )
| spl56_16
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2746,f2110]) ).
tff(f2110,plain,
( ~ $less(0,sF54)
| spl56_167 ),
inference(avatar_component_clause,[],[f2108]) ).
tff(f2809,plain,
( ~ spl56_180
| spl56_110
| spl56_16
| ~ spl56_42
| ~ spl56_61
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2800,f2650,f2108,f1019,f914,f798,f665,f1366,f2186]) ).
tff(f2186,plain,
( spl56_180
<=> $less(sK6,sF54) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_180])]) ).
tff(f2800,plain,
( $less(sF45,sK2)
| ~ $less(sK6,sF54)
| spl56_16
| ~ spl56_42
| ~ spl56_61
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2760,f1121]) ).
tff(f1121,plain,
( ! [X0: $int] :
( $less(sF45,X0)
| ~ $less(sK6,X0) )
| ~ spl56_42
| ~ spl56_61 ),
inference(resolution,[],[f1084,f900]) ).
tff(f1084,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(sK6,X0) )
| ~ spl56_61 ),
inference(resolution,[],[f916,f121]) ).
tff(f2807,plain,
( spl56_110
| ~ spl56_231
| spl56_16
| ~ spl56_74
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2798,f2650,f2108,f1019,f977,f665,f2804,f1366]) ).
tff(f2804,plain,
( spl56_231
<=> $less(1,sF54) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_231])]) ).
tff(f977,plain,
( spl56_74
<=> $less(sF45,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_74])]) ).
tff(f2798,plain,
( ~ $less(1,sF54)
| $less(sF45,sK2)
| spl56_16
| ~ spl56_74
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2760,f1740]) ).
tff(f1740,plain,
( ! [X0: $int] :
( $less(sF45,X0)
| ~ $less(1,X0) )
| ~ spl56_74 ),
inference(resolution,[],[f979,f121]) ).
tff(f979,plain,
( $less(sF45,1)
| ~ spl56_74 ),
inference(avatar_component_clause,[],[f977]) ).
tff(f2802,plain,
( spl56_110
| ~ spl56_179
| spl56_16
| ~ spl56_42
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2799,f2650,f2108,f1019,f798,f665,f2181,f1366]) ).
tff(f2181,plain,
( spl56_179
<=> $less(sK9,sF54) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_179])]) ).
tff(f2799,plain,
( ~ $less(sK9,sF54)
| $less(sF45,sK2)
| spl56_16
| ~ spl56_42
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2760,f1704]) ).
tff(f1704,plain,
( ! [X0: $int] :
( $less(sF45,X0)
| ~ $less(sK9,X0) )
| ~ spl56_42
| ~ spl56_78 ),
inference(resolution,[],[f1488,f900]) ).
tff(f1488,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(sK9,X0) )
| ~ spl56_78 ),
inference(resolution,[],[f1021,f121]) ).
tff(f2779,plain,
( spl56_229
| spl56_230
| spl56_202 ),
inference(avatar_split_clause,[],[f2770,f2513,f2776,f2772]) ).
tff(f2772,plain,
( spl56_229
<=> $less(k,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_229])]) ).
tff(f2776,plain,
( spl56_230
<=> ( k = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_230])]) ).
tff(f2770,plain,
( ( k = sF35 )
| $less(k,sF35)
| spl56_202 ),
inference(resolution,[],[f2515,f122]) ).
tff(f2768,plain,
( spl56_228
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2756,f2650,f1019,f665,f2765]) ).
tff(f2756,plain,
( $less(-1,sK2)
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(interpreted_simplification,[],[f2755]) ).
tff(f2755,plain,
( $less(0,0)
| ~ $less(-1,0)
| $less(-1,sK2)
| spl56_16
| ~ spl56_78
| ~ spl56_215 ),
inference(instantiation,[],[f2746]) ).
tff(f2754,plain,
( spl56_110
| spl56_16
| ~ spl56_42
| ~ spl56_78
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2752,f2650,f1019,f798,f665,f1366]) ).
tff(f2752,plain,
( $less(sF45,sK2)
| spl56_16
| ~ spl56_42
| ~ spl56_78
| ~ spl56_215 ),
inference(resolution,[],[f2741,f120]) ).
tff(f2751,plain,
( spl56_227
| spl56_16
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2744,f2650,f2108,f1019,f665,f2748]) ).
tff(f2744,plain,
( $less(sF54,sK2)
| spl56_16
| ~ spl56_78
| spl56_167
| ~ spl56_215 ),
inference(resolution,[],[f2719,f2110]) ).
tff(f2738,plain,
( spl56_225
| spl56_226
| spl56_198 ),
inference(avatar_split_clause,[],[f2729,f2492,f2735,f2731]) ).
tff(f2735,plain,
( spl56_226
<=> ( sK9 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_226])]) ).
tff(f2492,plain,
( spl56_198
<=> $less(sF35,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_198])]) ).
tff(f2729,plain,
( ( sK9 = sF35 )
| $less(sK9,sF35)
| spl56_198 ),
inference(resolution,[],[f2494,f122]) ).
tff(f2494,plain,
( ~ $less(sF35,sK9)
| spl56_198 ),
inference(avatar_component_clause,[],[f2492]) ).
tff(f2728,plain,
( spl56_223
| ~ spl56_213
| spl56_224
| spl56_16
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2716,f2650,f665,f2725,f2610,f2721]) ).
tff(f2716,plain,
( $less(1,sK2)
| ~ $less(1,sK9)
| ( 0 = num_of1(sF29,0,1) )
| spl56_16
| ~ spl56_215 ),
inference(superposition,[],[f2668,f1970]) ).
tff(f2712,plain,
( spl56_221
| spl56_222
| spl56_196 ),
inference(avatar_split_clause,[],[f2703,f2478,f2709,f2705]) ).
tff(f2709,plain,
( spl56_222
<=> $less(sK6,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_222])]) ).
tff(f2478,plain,
( spl56_196
<=> $less(sF35,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_196])]) ).
tff(f2703,plain,
( $less(sK6,sF35)
| ( sF35 = sK6 )
| spl56_196 ),
inference(resolution,[],[f2480,f122]) ).
tff(f2480,plain,
( ~ $less(sF35,sK6)
| spl56_196 ),
inference(avatar_component_clause,[],[f2478]) ).
tff(f2702,plain,
( spl56_220
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2697,f833,f2699]) ).
tff(f2699,plain,
( spl56_220
<=> ( elts(int,sF32) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_220])]) ).
tff(f833,plain,
( spl56_49
<=> ( sF32 = mk_array(int,sK2,sF31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_49])]) ).
tff(f2697,plain,
( ( elts(int,sF32) = sF31 )
| ~ spl56_49 ),
inference(subsumption_resolution,[],[f2684,f896]) ).
tff(f896,plain,
! [X0: uni] : sort(map(int,int),X0),
inference(superposition,[],[f485,f497]) ).
tff(f497,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f485,plain,
! [X0: map_int_int] : sort(map(int,int),t2tb1(X0)),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: map_int_int] : sort(map(int,int),t2tb1(X0)),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X1: map_int_int] : sort(map(int,int),t2tb1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort1) ).
tff(f2684,plain,
( ( elts(int,sF32) = sF31 )
| ~ sort(map(int,int),sF31)
| ~ spl56_49 ),
inference(superposition,[],[f431,f835]) ).
tff(f835,plain,
( ( sF32 = mk_array(int,sK2,sF31) )
| ~ spl56_49 ),
inference(avatar_component_clause,[],[f833]) ).
tff(f431,plain,
! [X2: ty,X0: uni,X1: $int] :
( ( elts(X2,mk_array(X2,X1,X0)) = X0 )
| ~ sort(map(int,X2),X0) ),
inference(cnf_transformation,[],[f310]) ).
tff(f310,plain,
! [X0: uni,X1: $int,X2: ty] :
( ~ sort(map(int,X2),X0)
| ( elts(X2,mk_array(X2,X1,X0)) = X0 ) ),
inference(rectify,[],[f248]) ).
tff(f248,plain,
! [X1: uni,X2: $int,X0: ty] :
( ~ sort(map(int,X0),X1)
| ( elts(X0,mk_array(X0,X2,X1)) = X1 ) ),
inference(ennf_transformation,[],[f181]) ).
tff(f181,plain,
! [X2: $int,X0: ty,X1: uni] :
( sort(map(int,X0),X1)
=> ( elts(X0,mk_array(X0,X2,X1)) = X1 ) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: ty,X13: uni,X6: $int] :
( sort(map(int,X0),X13)
=> ( elts(X0,mk_array(X0,X6,X13)) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',elts_def) ).
tff(f2696,plain,
( spl56_219
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2685,f833,f2693]) ).
tff(f2693,plain,
( spl56_219
<=> ( length(int,sF32) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_219])]) ).
tff(f2685,plain,
( ( length(int,sF32) = sK2 )
| ~ spl56_49 ),
inference(superposition,[],[f480,f835]) ).
tff(f480,plain,
! [X2: ty,X0: $int,X1: uni] : ( length(X2,mk_array(X2,X0,X1)) = X0 ),
inference(cnf_transformation,[],[f180]) ).
tff(f180,plain,
! [X0: $int,X1: uni,X2: ty] : ( length(X2,mk_array(X2,X0,X1)) = X0 ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X6: $int,X13: uni,X0: ty] : ( length(X0,mk_array(X0,X6,X13)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def) ).
tff(f2691,plain,
( spl56_218
| ~ spl56_49 ),
inference(avatar_split_clause,[],[f2683,f833,f2688]) ).
tff(f2688,plain,
( spl56_218
<=> ( sF32 = mk_array(int,sK2,elts(int,sF32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_218])]) ).
tff(f2683,plain,
( ( sF32 = mk_array(int,sK2,elts(int,sF32)) )
| ~ spl56_49 ),
inference(superposition,[],[f1013,f835]) ).
tff(f1013,plain,
! [X2: uni,X0: ty,X1: $int] : ( mk_array(X0,X1,X2) = mk_array(X0,X1,elts(X0,mk_array(X0,X1,X2))) ),
inference(superposition,[],[f414,f480]) ).
tff(f414,plain,
! [X0: uni,X1: ty] : ( mk_array(X1,length(X1,X0),elts(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f298]) ).
tff(f298,plain,
! [X0: uni,X1: ty] : ( mk_array(X1,length(X1,X0),elts(X1,X0)) = X0 ),
inference(rectify,[],[f163]) ).
tff(f163,plain,
! [X1: uni,X0: ty] : ( mk_array(X0,length(X0,X1),elts(X0,X1)) = X1 ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X0: ty,X6: uni] : ( mk_array(X0,length(X0,X6),elts(X0,X6)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',array_inversion) ).
tff(f2682,plain,
( ~ spl56_217
| ~ spl56_71
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2677,f2650,f959,f2679]) ).
tff(f2679,plain,
( spl56_217
<=> $less($sum(sK2,0),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_217])]) ).
tff(f2677,plain,
( ~ $less($sum(sK2,0),sK9)
| ~ spl56_71
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f2667,f961]) ).
tff(f2667,plain,
( ~ $less($sum(sK2,0),sK9)
| ~ $less(0,sK2)
| ~ spl56_215 ),
inference(evaluation,[],[f2661]) ).
tff(f2661,plain,
( ~ $less($sum(sK2,$uminus(0)),sK9)
| ~ $less(0,sK2)
| ~ spl56_215 ),
inference(superposition,[],[f484,f2652]) ).
tff(f2676,plain,
( spl56_216
| spl56_16
| ~ spl56_215 ),
inference(avatar_split_clause,[],[f2671,f2650,f665,f2673]) ).
tff(f2673,plain,
( spl56_216
<=> ( $sum(0,sK9) = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_216])]) ).
tff(f2671,plain,
( ( $sum(0,sK9) = sK9 )
| spl56_16
| ~ spl56_215 ),
inference(subsumption_resolution,[],[f2655,f667]) ).
tff(f2655,plain,
( ( $sum(0,sK9) = sK9 )
| $less(sK2,0)
| ~ spl56_215 ),
inference(superposition,[],[f1732,f2652]) ).
tff(f2653,plain,
( spl56_215
| ~ spl56_39
| ~ spl56_44
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2648,f1694,f807,f783,f2650]) ).
tff(f2648,plain,
( ( sK9 = num_of1(sF29,0,sK2) )
| ~ spl56_39
| ~ spl56_44
| ~ spl56_146 ),
inference(forward_demodulation,[],[f2647,f1696]) ).
tff(f2639,plain,
( spl56_206
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2638,f2454,f869,f2554]) ).
tff(f2638,plain,
( ( $sum(sF50,0) = sF50 )
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f2637,f2456]) ).
tff(f2637,plain,
( ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2636,f120]) ).
tff(f2636,plain,
( $less(sK9,sK9)
| ( num_of(sF52,0,sK9) = $sum(sF50,0) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2567,f1082]) ).
tff(f2633,plain,
( ~ spl56_209
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2632,f2454,f869,f2573]) ).
tff(f2632,plain,
( ~ $less(sF50,0)
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f2631,f1000]) ).
tff(f2631,plain,
( ~ $less(sF50,num_of(sF52,0,0))
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2619,f871]) ).
tff(f2619,plain,
( $less(sK9,0)
| ~ $less(sF50,num_of(sF52,0,0))
| ~ spl56_194 ),
inference(interpreted_simplification,[],[f2618]) ).
tff(f2618,plain,
( $less(sK9,0)
| ~ $less(sF50,num_of(sF52,0,0))
| $less(0,0)
| ~ spl56_194 ),
inference(instantiation,[],[f2534]) ).
tff(f2628,plain,
( ~ spl56_209
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2627,f2454,f869,f2573]) ).
tff(f2627,plain,
( ~ $less(sF50,0)
| spl56_56
| ~ spl56_194 ),
inference(forward_demodulation,[],[f2624,f1000]) ).
tff(f2624,plain,
( ~ $less(sF50,num_of(sF52,0,0))
| spl56_56
| ~ spl56_194 ),
inference(evaluation,[],[f2620]) ).
tff(f2620,plain,
( ~ $less(sF50,num_of(sF52,0,0))
| $less(0,0)
| spl56_56
| ~ spl56_194 ),
inference(resolution,[],[f2534,f871]) ).
tff(f2617,plain,
( ~ spl56_208
| spl56_214
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2599,f2454,f869,f2615,f2563]) ).
tff(f2599,plain,
( ! [X0: $int] :
( $less(X0,sK9)
| ~ $less(0,sF50)
| $less(0,X0) )
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2577,f479]) ).
tff(f2613,plain,
( ~ spl56_211
| spl56_212
| spl56_213
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2598,f2454,f869,f2610,f2606,f2602]) ).
tff(f2602,plain,
( spl56_211
<=> $less(1,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_211])]) ).
tff(f2606,plain,
( spl56_212
<=> ( 0 = num_of(sF52,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_212])]) ).
tff(f2598,plain,
( $less(1,sK9)
| ( 0 = num_of(sF52,0,1) )
| ~ $less(1,sF50)
| spl56_56
| ~ spl56_194 ),
inference(superposition,[],[f2577,f1964]) ).
tff(f2587,plain,
( ~ spl56_209
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2586,f2454,f869,f2573]) ).
tff(f2586,plain,
( ~ $less(sF50,0)
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2532,f871]) ).
tff(f2532,plain,
( ~ $less(sF50,0)
| $less(sK9,0)
| ~ spl56_194 ),
inference(superposition,[],[f1206,f2456]) ).
tff(f1206,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( ~ $less(num_of(X7,0,X8),0)
| $less(X8,0) ),
inference(evaluation,[],[f1205]) ).
tff(f1205,plain,
! [X8: $int,X7: lparray_intcm_intrp] :
( $less(0,0)
| ~ $less(num_of(X7,0,X8),0)
| $less(X8,0) ),
inference(superposition,[],[f423,f1000]) ).
tff(f2585,plain,
( ~ spl56_209
| ~ spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2584,f2454,f1019,f2573]) ).
tff(f2584,plain,
( ~ $less(sF50,0)
| ~ spl56_78
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2539,f1021]) ).
tff(f2583,plain,
( ~ spl56_210
| ~ spl56_78
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2578,f2454,f1019,f2580]) ).
tff(f2578,plain,
( ~ $less($sum(sK9,0),sF50)
| ~ spl56_78
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2545,f1021]) ).
tff(f2576,plain,
( ~ spl56_209
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2571,f2454,f869,f2573]) ).
tff(f2571,plain,
( ~ $less(sF50,0)
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2542,f871]) ).
tff(f2542,plain,
( $less(sK9,0)
| ~ $less(sF50,0)
| ~ spl56_194 ),
inference(superposition,[],[f1207,f2456]) ).
tff(f1207,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ~ $less(num_of(X4,X5,X6),0)
| $less(X6,X5) ),
inference(subsumption_resolution,[],[f1204,f120]) ).
tff(f1204,plain,
! [X6: $int,X4: lparray_intcm_intrp,X5: $int] :
( ~ $less(num_of(X4,X5,X6),0)
| $less(X5,X5)
| $less(X6,X5) ),
inference(superposition,[],[f423,f1082]) ).
tff(f2569,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2568,f2454,f869,f2548]) ).
tff(f2568,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2531,f871]) ).
tff(f2531,plain,
( $less(sK9,0)
| ( sF50 = $sum(0,sF50) )
| ~ spl56_194 ),
inference(superposition,[],[f1720,f2456]) ).
tff(f2566,plain,
( spl56_207
| spl56_208
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2540,f2454,f2563,f2559]) ).
tff(f2540,plain,
( $less(0,sF50)
| ( 0 = sF50 )
| ~ spl56_194 ),
inference(superposition,[],[f1010,f2456]) ).
tff(f1010,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( $less(0,num_of(X2,X0,X1))
| ( 0 = num_of(X2,X0,X1) ) ),
inference(subsumption_resolution,[],[f1008,f479]) ).
tff(f1008,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ( 0 = num_of(X2,X0,X1) )
| $less(0,num_of(X2,X0,X1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f508,f122]) ).
tff(f2557,plain,
( spl56_206
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2552,f2454,f869,f2554]) ).
tff(f2552,plain,
( ( $sum(sF50,0) = sF50 )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2544,f871]) ).
tff(f2544,plain,
( $less(sK9,0)
| ( $sum(sF50,0) = sF50 )
| ~ spl56_194 ),
inference(superposition,[],[f1723,f2456]) ).
tff(f2551,plain,
( spl56_205
| spl56_56
| ~ spl56_194 ),
inference(avatar_split_clause,[],[f2546,f2454,f869,f2548]) ).
tff(f2546,plain,
( ( sF50 = $sum(0,sF50) )
| spl56_56
| ~ spl56_194 ),
inference(subsumption_resolution,[],[f2543,f871]) ).
tff(f2543,plain,
( ( sF50 = $sum(0,sF50) )
| $less(sK9,0)
| ~ spl56_194 ),
inference(superposition,[],[f1721,f2456]) ).
tff(f2525,plain,
( ~ spl56_204
| spl56_119
| ~ spl56_198
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2465,f1126,f2492,f1450,f2522]) ).
tff(f2522,plain,
( spl56_204
<=> $less(tb2t(get(int,int,sF37,sF34)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_204])]) ).
tff(f2465,plain,
( ~ $less(sF35,sK9)
| $less(sF35,0)
| ~ $less(tb2t(get(int,int,sF37,sF34)),0)
| ~ spl56_87 ),
inference(superposition,[],[f577,f1128]) ).
tff(f577,plain,
! [X16: $int] :
( ~ $less(tb2t(get(int,int,sF37,t2tb(X16))),0)
| ~ $less(X16,sK9)
| $less(X16,0) ),
inference(definition_folding,[],[f385,f554]) ).
tff(f385,plain,
! [X16: $int] :
( ~ $less(X16,sK9)
| ~ $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X16))),0)
| $less(X16,0) ),
inference(cnf_transformation,[],[f297]) ).
tff(f2520,plain,
( ~ spl56_202
| spl56_203
| spl56_119
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2467,f1126,f1450,f2517,f2513]) ).
tff(f2517,plain,
( spl56_203
<=> ( tb2t(get(int,int,sF33,sF34)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_203])]) ).
tff(f2467,plain,
( $less(sF35,0)
| ( tb2t(get(int,int,sF33,sF34)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sF54) )
| ~ $less(sF35,k)
| ~ spl56_87 ),
inference(superposition,[],[f580,f1128]) ).
tff(f2511,plain,
( spl56_201
| spl56_119
| ~ spl56_196
| ~ spl56_87
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2472,f1694,f1126,f2478,f1450,f2508]) ).
tff(f2508,plain,
( spl56_201
<=> ( num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,sF34)),0,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_201])]) ).
tff(f2472,plain,
( ~ $less(sF35,sK6)
| $less(sF35,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sK2) = num_of(tb2t3(tuple21(sF24,int,sF32,sF34)),0,sK9) )
| ~ spl56_87
| ~ spl56_146 ),
inference(superposition,[],[f2198,f1128]) ).
tff(f2198,plain,
( ! [X7: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(X7))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),0,sK2) )
| $less(X7,0)
| ~ $less(X7,sK6) )
| ~ spl56_146 ),
inference(forward_demodulation,[],[f544,f1696]) ).
tff(f2506,plain,
( ~ spl56_200
| ~ spl56_198
| spl56_119
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2466,f1126,f1450,f2492,f2503]) ).
tff(f2503,plain,
( spl56_200
<=> $less(sK6,tb2t(get(int,int,sF37,sF34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_200])]) ).
tff(f2466,plain,
( $less(sF35,0)
| ~ $less(sF35,sK9)
| ~ $less(sK6,tb2t(get(int,int,sF37,sF34)))
| ~ spl56_87 ),
inference(superposition,[],[f578,f1128]) ).
tff(f578,plain,
! [X16: $int] :
( ~ $less(sK6,tb2t(get(int,int,sF37,t2tb(X16))))
| $less(X16,0)
| ~ $less(X16,sK9) ),
inference(definition_folding,[],[f384,f554]) ).
tff(f384,plain,
! [X16: $int] :
( ~ $less(X16,sK9)
| ~ $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X16))))
| $less(X16,0) ),
inference(cnf_transformation,[],[f297]) ).
tff(f2501,plain,
( spl56_199
| spl56_119
| ~ spl56_198
| ~ spl56_87
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2496,f1694,f1126,f2492,f1450,f2498]) ).
tff(f2496,plain,
( ~ $less(sF35,sK9)
| $less(sF35,0)
| $less(tb2t(get(int,int,sF31,sF34)),sK6)
| ~ spl56_87
| ~ spl56_146 ),
inference(forward_demodulation,[],[f2462,f1696]) ).
tff(f2495,plain,
( ~ spl56_197
| ~ spl56_198
| spl56_119
| ~ spl56_87
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2486,f1694,f1126,f1450,f2492,f2488]) ).
tff(f2486,plain,
( $less(sF35,0)
| ~ $less(sF35,sK9)
| ~ $less(tb2t(get(int,int,sF31,sF34)),0)
| ~ spl56_87
| ~ spl56_146 ),
inference(forward_demodulation,[],[f2463,f1696]) ).
tff(f2481,plain,
( spl56_195
| ~ spl56_196
| spl56_119
| ~ spl56_87 ),
inference(avatar_split_clause,[],[f2464,f1126,f1450,f2478,f2474]) ).
tff(f2474,plain,
( spl56_195
<=> ( num_of(tb2t3(tuple21(sF24,int,sF46,sF34)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_195])]) ).
tff(f2464,plain,
( $less(sF35,0)
| ~ $less(sF35,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,sF34)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF34)),0,sK2) )
| ~ spl56_87 ),
inference(superposition,[],[f567,f1128]) ).
tff(f2459,plain,
( spl56_124
| ~ spl56_96
| ~ spl56_138 ),
inference(avatar_split_clause,[],[f2458,f1635,f1214,f1490]) ).
tff(f2458,plain,
( $less(sF45,sK9)
| ~ spl56_96
| ~ spl56_138 ),
inference(forward_demodulation,[],[f1216,f1637]) ).
tff(f1216,plain,
( $less(sF45,sK13)
| ~ spl56_96 ),
inference(avatar_component_clause,[],[f1214]) ).
tff(f2457,plain,
( spl56_194
| ~ spl56_29
| ~ spl56_32 ),
inference(avatar_split_clause,[],[f2452,f748,f733,f2454]) ).
tff(f733,plain,
( spl56_29
<=> ( sF53 = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_29])]) ).
tff(f748,plain,
( spl56_32
<=> ( sF53 = num_of(sF52,0,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_32])]) ).
tff(f2452,plain,
( ( num_of(sF52,0,sK9) = sF50 )
| ~ spl56_29
| ~ spl56_32 ),
inference(forward_demodulation,[],[f750,f735]) ).
tff(f735,plain,
( ( sF53 = sF50 )
| ~ spl56_29 ),
inference(avatar_component_clause,[],[f733]) ).
tff(f750,plain,
( ( sF53 = num_of(sF52,0,sK9) )
| ~ spl56_32 ),
inference(avatar_component_clause,[],[f748]) ).
tff(f2424,plain,
( spl56_193
| ~ spl56_24 ),
inference(avatar_split_clause,[],[f2419,f707,f2421]) ).
tff(f2421,plain,
( spl56_193
<=> ( sF37 = elts(int,sF46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_193])]) ).
tff(f707,plain,
( spl56_24
<=> ( sF46 = mk_array(int,sK2,sF37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_24])]) ).
tff(f2419,plain,
( ( sF37 = elts(int,sF46) )
| ~ spl56_24 ),
inference(subsumption_resolution,[],[f2406,f896]) ).
tff(f2406,plain,
( ~ sort(map(int,int),sF37)
| ( sF37 = elts(int,sF46) )
| ~ spl56_24 ),
inference(superposition,[],[f431,f709]) ).
tff(f709,plain,
( ( sF46 = mk_array(int,sK2,sF37) )
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f707]) ).
tff(f2418,plain,
( spl56_192
| ~ spl56_24 ),
inference(avatar_split_clause,[],[f2407,f707,f2415]) ).
tff(f2415,plain,
( spl56_192
<=> ( length(int,sF46) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_192])]) ).
tff(f2407,plain,
( ( length(int,sF46) = sK2 )
| ~ spl56_24 ),
inference(superposition,[],[f480,f709]) ).
tff(f2413,plain,
( spl56_191
| ~ spl56_24 ),
inference(avatar_split_clause,[],[f2405,f707,f2410]) ).
tff(f2410,plain,
( spl56_191
<=> ( mk_array(int,sK2,elts(int,sF46)) = sF46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_191])]) ).
tff(f2405,plain,
( ( mk_array(int,sK2,elts(int,sF46)) = sF46 )
| ~ spl56_24 ),
inference(superposition,[],[f1013,f709]) ).
tff(f2404,plain,
( spl56_190
| ~ spl56_4 ),
inference(avatar_split_clause,[],[f2385,f605,f2401]) ).
tff(f2401,plain,
( spl56_190
<=> ( mk_array(int,sK2,elts(int,sF26)) = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_190])]) ).
tff(f605,plain,
( spl56_4
<=> ( sF26 = mk_array(int,sK2,sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_4])]) ).
tff(f2385,plain,
( ( mk_array(int,sK2,elts(int,sF26)) = sF26 )
| ~ spl56_4 ),
inference(superposition,[],[f1013,f607]) ).
tff(f607,plain,
( ( sF26 = mk_array(int,sK2,sF25) )
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f605]) ).
tff(f2399,plain,
( spl56_189
| ~ spl56_4 ),
inference(avatar_split_clause,[],[f2394,f605,f2396]) ).
tff(f2396,plain,
( spl56_189
<=> ( elts(int,sF26) = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_189])]) ).
tff(f2394,plain,
( ( elts(int,sF26) = sF25 )
| ~ spl56_4 ),
inference(subsumption_resolution,[],[f2386,f896]) ).
tff(f2386,plain,
( ( elts(int,sF26) = sF25 )
| ~ sort(map(int,int),sF25)
| ~ spl56_4 ),
inference(superposition,[],[f431,f607]) ).
tff(f2393,plain,
( spl56_188
| ~ spl56_4 ),
inference(avatar_split_clause,[],[f2387,f605,f2390]) ).
tff(f2390,plain,
( spl56_188
<=> ( length(int,sF26) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_188])]) ).
tff(f2387,plain,
( ( length(int,sF26) = sK2 )
| ~ spl56_4 ),
inference(superposition,[],[f480,f607]) ).
tff(f2379,plain,
( spl56_187
| ~ spl56_17
| ~ spl56_92 ),
inference(avatar_split_clause,[],[f2370,f1166,f670,f2375]) ).
tff(f670,plain,
( spl56_17
<=> ( t2tb1(sK11) = sF42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_17])]) ).
tff(f1166,plain,
( spl56_92
<=> ( t2tb1(sK11) = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_92])]) ).
tff(f2370,plain,
( ( sF42 = sF39 )
| ~ spl56_17
| ~ spl56_92 ),
inference(superposition,[],[f1168,f672]) ).
tff(f672,plain,
( ( t2tb1(sK11) = sF42 )
| ~ spl56_17 ),
inference(avatar_component_clause,[],[f670]) ).
tff(f1168,plain,
( ( t2tb1(sK11) = sF39 )
| ~ spl56_92 ),
inference(avatar_component_clause,[],[f1166]) ).
tff(f2378,plain,
( spl56_187
| ~ spl56_17
| ~ spl56_92 ),
inference(avatar_split_clause,[],[f2371,f1166,f670,f2375]) ).
tff(f2371,plain,
( ( sF42 = sF39 )
| ~ spl56_17
| ~ spl56_92 ),
inference(superposition,[],[f672,f1168]) ).
tff(f2314,plain,
( spl56_186
| spl56_11
| ~ spl56_36
| ~ spl56_128
| ~ spl56_138
| ~ spl56_146
| ~ spl56_156 ),
inference(avatar_split_clause,[],[f2313,f1933,f1694,f1635,f1545,f768,f640,f2306]) ).
tff(f2306,plain,
( spl56_186
<=> ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_186])]) ).
tff(f2313,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_128
| ~ spl56_138
| ~ spl56_146
| ~ spl56_156 ),
inference(subsumption_resolution,[],[f2312,f1547]) ).
tff(f2312,plain,
( ~ $less(sK9,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_138
| ~ spl56_146
| ~ spl56_156 ),
inference(forward_demodulation,[],[f2311,f1637]) ).
tff(f2311,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ $less(sK13,sK6)
| spl56_11
| ~ spl56_36
| ~ spl56_146
| ~ spl56_156 ),
inference(forward_demodulation,[],[f2310,f1935]) ).
tff(f2310,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| ~ $less(sK13,sK6)
| spl56_11
| ~ spl56_36
| ~ spl56_146 ),
inference(subsumption_resolution,[],[f2279,f642]) ).
tff(f2279,plain,
( $less(sK13,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| ~ $less(sK13,sK6)
| ~ spl56_36
| ~ spl56_146 ),
inference(superposition,[],[f2198,f770]) ).
tff(f2309,plain,
( spl56_186
| ~ spl56_37
| spl56_56
| ~ spl56_128
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2304,f1694,f1545,f869,f773,f2306]) ).
tff(f2304,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ spl56_37
| spl56_56
| ~ spl56_128
| ~ spl56_146 ),
inference(subsumption_resolution,[],[f2303,f1547]) ).
tff(f2303,plain,
( ~ $less(sK9,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ spl56_37
| spl56_56
| ~ spl56_146 ),
inference(subsumption_resolution,[],[f2278,f871]) ).
tff(f2278,plain,
( $less(sK9,0)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ $less(sK9,sK6)
| ~ spl56_37
| ~ spl56_146 ),
inference(superposition,[],[f2198,f775]) ).
tff(f2302,plain,
( spl56_185
| ~ spl56_61
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f2297,f1694,f914,f2299]) ).
tff(f2299,plain,
( spl56_185
<=> ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_185])]) ).
tff(f2297,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_61
| ~ spl56_146 ),
inference(subsumption_resolution,[],[f2275,f916]) ).
tff(f2275,plain,
( ~ $less(0,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_146 ),
inference(interpreted_simplification,[],[f2274]) ).
tff(f2274,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF32,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| $less(0,0)
| ~ $less(0,sK6)
| ~ spl56_146 ),
inference(instantiation,[],[f2198]) ).
tff(f2265,plain,
( spl56_184
| ~ spl56_164 ),
inference(avatar_split_clause,[],[f2258,f2091,f2262]) ).
tff(f2258,plain,
( $less(sF54,1)
| ~ spl56_164 ),
inference(interpreted_simplification,[],[f2257]) ).
tff(f2257,plain,
( $less(sF54,1)
| ~ $less(0,1)
| ~ spl56_164 ),
inference(instantiation,[],[f2251]) ).
tff(f2251,plain,
( ! [X0: $int] :
( $less(sF54,X0)
| ~ $less(0,X0) )
| ~ spl56_164 ),
inference(resolution,[],[f2093,f121]) ).
tff(f2245,plain,
( spl56_183
| ~ spl56_61 ),
inference(avatar_split_clause,[],[f2240,f914,f2242]) ).
tff(f2242,plain,
( spl56_183
<=> ( num_of(tb2t3(tuple21(sF24,int,sF46,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_183])]) ).
tff(f2240,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| ~ spl56_61 ),
inference(subsumption_resolution,[],[f2204,f916]) ).
tff(f2204,plain,
( ~ $less(0,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) ) ),
inference(interpreted_simplification,[],[f2203]) ).
tff(f2203,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,t2tb(0))),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sK2) )
| $less(0,0)
| ~ $less(0,sK6) ),
inference(instantiation,[],[f567]) ).
tff(f2237,plain,
( spl56_182
| spl56_11
| ~ spl56_36
| ~ spl56_128
| ~ spl56_138
| ~ spl56_156 ),
inference(avatar_split_clause,[],[f2236,f1933,f1635,f1545,f768,f640,f2227]) ).
tff(f2227,plain,
( spl56_182
<=> ( num_of(tb2t3(tuple21(sF24,int,sF46,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_182])]) ).
tff(f2236,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_128
| ~ spl56_138
| ~ spl56_156 ),
inference(forward_demodulation,[],[f2235,f1935]) ).
tff(f2235,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_128
| ~ spl56_138 ),
inference(subsumption_resolution,[],[f2234,f1547]) ).
tff(f2234,plain,
( ~ $less(sK9,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,sF43)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF43)),0,sK2) )
| spl56_11
| ~ spl56_36
| ~ spl56_138 ),
inference(forward_demodulation,[],[f2233,f1637]) ).
tff(f2230,plain,
( spl56_182
| ~ spl56_37
| spl56_56
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2225,f1545,f869,f773,f2227]) ).
tff(f2225,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| ~ spl56_37
| spl56_56
| ~ spl56_128 ),
inference(subsumption_resolution,[],[f2224,f871]) ).
tff(f2224,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF46,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| $less(sK9,0)
| ~ spl56_37
| ~ spl56_128 ),
inference(subsumption_resolution,[],[f2207,f1547]) ).
tff(f2207,plain,
( ~ $less(sK9,sK6)
| ( num_of(tb2t3(tuple21(sF24,int,sF46,sF38)),0,sK9) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sK2) )
| $less(sK9,0)
| ~ spl56_37 ),
inference(superposition,[],[f567,f775]) ).
tff(f2197,plain,
( spl56_176
| spl56_181
| spl56_177
| ~ spl56_2
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f2191,f738,f595,f2168,f2195,f2164]) ).
tff(f2195,plain,
( spl56_181
<=> ! [X0: lparray_intcm_intrp] : ~ $less(sF48,num_of1(X0,sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_181])]) ).
tff(f2168,plain,
( spl56_177
<=> ( sK8 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_177])]) ).
tff(f595,plain,
( spl56_2
<=> ( $sum(sK9,sF47) = sF48 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_2])]) ).
tff(f2191,plain,
( ! [X0: lparray_intcm_intrp] :
( ( sK8 = sK9 )
| ~ $less(sF48,num_of1(X0,sK8,sK9))
| $less(sK9,sK8) )
| ~ spl56_2
| ~ spl56_30 ),
inference(superposition,[],[f1347,f597]) ).
tff(f597,plain,
( ( $sum(sK9,sF47) = sF48 )
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f595]) ).
tff(f1347,plain,
( ! [X0: $int,X1: lparray_intcm_intrp] :
( ~ $less($sum(X0,sF47),num_of1(X1,sK8,X0))
| $less(X0,sK8)
| ( sK8 = X0 ) )
| ~ spl56_30 ),
inference(resolution,[],[f1328,f122]) ).
tff(f2189,plain,
( ~ spl56_180
| ~ spl56_61
| spl56_167 ),
inference(avatar_split_clause,[],[f2173,f2108,f914,f2186]) ).
tff(f2173,plain,
( ~ $less(sK6,sF54)
| ~ spl56_61
| spl56_167 ),
inference(resolution,[],[f2110,f1084]) ).
tff(f2184,plain,
( ~ spl56_179
| ~ spl56_78
| spl56_167 ),
inference(avatar_split_clause,[],[f2172,f2108,f1019,f2181]) ).
tff(f2172,plain,
( ~ $less(sK9,sF54)
| ~ spl56_78
| spl56_167 ),
inference(resolution,[],[f2110,f1488]) ).
tff(f2179,plain,
( spl56_164
| spl56_178
| spl56_167 ),
inference(avatar_split_clause,[],[f2174,f2108,f2176,f2091]) ).
tff(f2176,plain,
( spl56_178
<=> ( 0 = sF54 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_178])]) ).
tff(f2174,plain,
( ( 0 = sF54 )
| $less(sF54,0)
| spl56_167 ),
inference(resolution,[],[f2110,f122]) ).
tff(f2171,plain,
( spl56_175
| spl56_176
| spl56_177
| ~ spl56_2
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f2157,f738,f595,f2168,f2164,f2161]) ).
tff(f2161,plain,
( spl56_175
<=> ! [X0: lparray_intcm_intrp] : ~ $less(sF48,num_of(X0,sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_175])]) ).
tff(f2157,plain,
( ! [X0: lparray_intcm_intrp] :
( ( sK8 = sK9 )
| $less(sK9,sK8)
| ~ $less(sF48,num_of(X0,sK8,sK9)) )
| ~ spl56_2
| ~ spl56_30 ),
inference(superposition,[],[f1343,f597]) ).
tff(f1343,plain,
( ! [X0: $int,X1: lparray_intcm_intrp] :
( ~ $less($sum(X0,sF47),num_of(X1,sK8,X0))
| ( sK8 = X0 )
| $less(X0,sK8) )
| ~ spl56_30 ),
inference(resolution,[],[f1327,f122]) ).
tff(f1327,plain,
( ! [X0: $int,X1: lparray_intcm_intrp] :
( ~ $less(sK8,X0)
| ~ $less($sum(X0,sF47),num_of(X1,sK8,X0)) )
| ~ spl56_30 ),
inference(superposition,[],[f507,f740]) ).
tff(f2148,plain,
( spl56_169
| spl56_167 ),
inference(avatar_split_clause,[],[f2074,f2108,f2116]) ).
tff(f2074,plain,
! [X1: $int] :
( $less(0,sF54)
| $less(X1,0)
| ~ $less(X1,k)
| ( 0 = tb2t(get(int,int,sF33,t2tb(X1))) ) ),
inference(superposition,[],[f580,f479]) ).
tff(f2147,plain,
( spl56_164
| spl56_174 ),
inference(avatar_split_clause,[],[f2076,f2145,f2091]) ).
tff(f2145,plain,
( spl56_174
<=> ! [X2: $int,X1: $int] :
( $less(X1,0)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X1))),0,X2),tb2t(get(int,int,sF33,t2tb(X1))))
| $less(X2,sF54)
| ~ $less(X1,k) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_174])]) ).
tff(f2076,plain,
! [X2: $int,X1: $int] :
( $less(X1,0)
| ~ $less(X1,k)
| $less(X2,sF54)
| ~ $less(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X1))),0,X2),tb2t(get(int,int,sF33,t2tb(X1))))
| $less(sF54,0) ),
inference(superposition,[],[f423,f580]) ).
tff(f2143,plain,
( spl56_164
| spl56_173 ),
inference(avatar_split_clause,[],[f2078,f2141,f2091]) ).
tff(f2141,plain,
( spl56_173
<=> ! [X6: $int,X5: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X5))),X6,sF54) = $sum(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X5))),X6,0),tb2t(get(int,int,sF33,t2tb(X5)))) )
| ~ $less(X5,k)
| $less(0,X6)
| $less(X5,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_173])]) ).
tff(f2078,plain,
! [X6: $int,X5: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X5))),X6,sF54) = $sum(num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X5))),X6,0),tb2t(get(int,int,sF33,t2tb(X5)))) )
| $less(X5,0)
| $less(0,X6)
| $less(sF54,0)
| ~ $less(X5,k) ),
inference(superposition,[],[f453,f580]) ).
tff(f2139,plain,
( spl56_164
| spl56_167
| spl56_172 ),
inference(avatar_split_clause,[],[f2084,f2137,f2108,f2091]) ).
tff(f2084,plain,
! [X13: $int] :
( ~ $less(0,tb2t(get(int,int,sF33,t2tb(X13))))
| $less(0,sF54)
| $less(X13,0)
| ~ $less(X13,k)
| $less(sF54,0) ),
inference(superposition,[],[f1201,f580]) ).
tff(f2135,plain,
( spl56_171
| ~ spl56_19 ),
inference(avatar_split_clause,[],[f2130,f681,f2132]) ).
tff(f2132,plain,
( spl56_171
<=> ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sF54) = tb2t(get(int,int,sF33,t2tb(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_171])]) ).
tff(f681,plain,
( spl56_19
<=> $less(0,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_19])]) ).
tff(f2130,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sF54) = tb2t(get(int,int,sF33,t2tb(0))) )
| ~ spl56_19 ),
inference(subsumption_resolution,[],[f2069,f683]) ).
tff(f683,plain,
( $less(0,k)
| ~ spl56_19 ),
inference(avatar_component_clause,[],[f681]) ).
tff(f2069,plain,
( ~ $less(0,k)
| ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sF54) = tb2t(get(int,int,sF33,t2tb(0))) ) ),
inference(interpreted_simplification,[],[f2068]) ).
tff(f2068,plain,
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(0))),0,sF54) = tb2t(get(int,int,sF33,t2tb(0))) )
| $less(0,0)
| ~ $less(0,k) ),
inference(instantiation,[],[f580]) ).
tff(f2129,plain,
( ~ spl56_161
| spl56_170
| spl56_11
| ~ spl56_36
| ~ spl56_138
| ~ spl56_156 ),
inference(avatar_split_clause,[],[f2128,f1933,f1635,f768,f640,f2122,f2057]) ).
tff(f2122,plain,
( spl56_170
<=> ( tb2t(get(int,int,sF33,sF38)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_170])]) ).
tff(f2128,plain,
( ( tb2t(get(int,int,sF33,sF38)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sF54) )
| ~ $less(sK9,k)
| spl56_11
| ~ spl56_36
| ~ spl56_138
| ~ spl56_156 ),
inference(forward_demodulation,[],[f2127,f1637]) ).
tff(f2127,plain,
( ( tb2t(get(int,int,sF33,sF38)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sF54) )
| ~ $less(sK13,k)
| spl56_11
| ~ spl56_36
| ~ spl56_156 ),
inference(forward_demodulation,[],[f2126,f1935]) ).
tff(f2125,plain,
( spl56_170
| ~ spl56_161
| ~ spl56_37
| spl56_56 ),
inference(avatar_split_clause,[],[f2120,f869,f773,f2057,f2122]) ).
tff(f2120,plain,
( ~ $less(sK9,k)
| ( tb2t(get(int,int,sF33,sF38)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sF54) )
| ~ spl56_37
| spl56_56 ),
inference(subsumption_resolution,[],[f2072,f871]) ).
tff(f2072,plain,
( ~ $less(sK9,k)
| $less(sK9,0)
| ( tb2t(get(int,int,sF33,sF38)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF38)),0,sF54) )
| ~ spl56_37 ),
inference(superposition,[],[f580,f775]) ).
tff(f2119,plain,
( spl56_163
| ~ spl56_167 ),
inference(avatar_split_clause,[],[f2082,f2108,f2088]) ).
tff(f2082,plain,
! [X11: $int] :
( ~ $less(0,sF54)
| ~ $less(tb2t(get(int,int,sF33,t2tb(X11))),0)
| ~ $less(X11,k)
| $less(X11,0) ),
inference(superposition,[],[f508,f580]) ).
tff(f2118,plain,
( spl56_167
| spl56_169 ),
inference(avatar_split_clause,[],[f2080,f2116,f2108]) ).
tff(f2080,plain,
! [X9: $int] :
( ( 0 = tb2t(get(int,int,sF33,t2tb(X9))) )
| $less(X9,0)
| $less(0,sF54)
| ~ $less(X9,k) ),
inference(superposition,[],[f479,f580]) ).
tff(f2114,plain,
( ~ spl56_167
| spl56_168 ),
inference(avatar_split_clause,[],[f2086,f2112,f2108]) ).
tff(f2112,plain,
( spl56_168
<=> ! [X10: $int] :
( ~ $less(X10,k)
| $less(X10,0)
| ~ $less($sum(sF54,0),tb2t(get(int,int,sF33,t2tb(X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_168])]) ).
tff(f2086,plain,
! [X10: $int] :
( ~ $less(X10,k)
| ~ $less(0,sF54)
| ~ $less($sum(sF54,0),tb2t(get(int,int,sF33,t2tb(X10))))
| $less(X10,0) ),
inference(evaluation,[],[f2081]) ).
tff(f2081,plain,
! [X10: $int] :
( ~ $less(0,sF54)
| ~ $less(X10,k)
| $less(X10,0)
| ~ $less($sum(sF54,$uminus(0)),tb2t(get(int,int,sF33,t2tb(X10)))) ),
inference(superposition,[],[f507,f580]) ).
tff(f2106,plain,
( spl56_163
| spl56_164 ),
inference(avatar_split_clause,[],[f2085,f2091,f2088]) ).
tff(f2085,plain,
! [X14: $int] :
( $less(sF54,0)
| ~ $less(X14,k)
| $less(X14,0)
| ~ $less(tb2t(get(int,int,sF33,t2tb(X14))),0) ),
inference(superposition,[],[f1207,f580]) ).
tff(f2105,plain,
( spl56_166
| spl56_13
| ~ spl56_15
| ~ spl56_57 ),
inference(avatar_split_clause,[],[f2100,f874,f660,f650,f2102]) ).
tff(f2102,plain,
( spl56_166
<=> ( tb2t(get(int,int,sF33,sF27)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF27)),0,sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_166])]) ).
tff(f2100,plain,
( ( tb2t(get(int,int,sF33,sF27)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF27)),0,sF54) )
| spl56_13
| ~ spl56_15
| ~ spl56_57 ),
inference(subsumption_resolution,[],[f2099,f652]) ).
tff(f2099,plain,
( $less(sK6,0)
| ( tb2t(get(int,int,sF33,sF27)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF27)),0,sF54) )
| ~ spl56_15
| ~ spl56_57 ),
inference(subsumption_resolution,[],[f2071,f876]) ).
tff(f2071,plain,
( ( tb2t(get(int,int,sF33,sF27)) = num_of(tb2t3(tuple21(sF24,int,sF26,sF27)),0,sF54) )
| ~ $less(sK6,k)
| $less(sK6,0)
| ~ spl56_15 ),
inference(superposition,[],[f580,f662]) ).
tff(f2098,plain,
( spl56_164
| spl56_165 ),
inference(avatar_split_clause,[],[f2079,f2096,f2091]) ).
tff(f2096,plain,
( spl56_165
<=> ! [X8: $int,X7: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),0,X8) = $sum(tb2t(get(int,int,sF33,t2tb(X7))),num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),sF54,X8)) )
| ~ $less(X7,k)
| $less(X7,0)
| $less(X8,sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_165])]) ).
tff(f2079,plain,
! [X8: $int,X7: $int] :
( ( num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),0,X8) = $sum(tb2t(get(int,int,sF33,t2tb(X7))),num_of(tb2t3(tuple21(sF24,int,sF26,t2tb(X7))),sF54,X8)) )
| $less(X8,sF54)
| $less(X7,0)
| $less(sF54,0)
| ~ $less(X7,k) ),
inference(superposition,[],[f453,f580]) ).
tff(f2094,plain,
( spl56_163
| spl56_164 ),
inference(avatar_split_clause,[],[f2075,f2091,f2088]) ).
tff(f2075,plain,
! [X0: $int] :
( $less(sF54,0)
| ~ $less(X0,k)
| ~ $less(tb2t(get(int,int,sF33,t2tb(X0))),0)
| $less(X0,0) ),
inference(superposition,[],[f1206,f580]) ).
tff(f2065,plain,
( spl56_162
| ~ spl56_63
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2054,f1545,f923,f2062]) ).
tff(f2062,plain,
( spl56_162
<=> $less(sK9,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_162])]) ).
tff(f2054,plain,
( $less(sK9,sF36)
| ~ spl56_63
| ~ spl56_128 ),
inference(resolution,[],[f1793,f925]) ).
tff(f2060,plain,
( spl56_161
| ~ spl56_57
| ~ spl56_128 ),
inference(avatar_split_clause,[],[f2053,f1545,f874,f2057]) ).
tff(f2053,plain,
( $less(sK9,k)
| ~ spl56_57
| ~ spl56_128 ),
inference(resolution,[],[f1793,f876]) ).
tff(f1996,plain,
( spl56_160
| ~ spl56_146
| ~ spl56_157 ),
inference(avatar_split_clause,[],[f1991,f1940,f1694,f1993]) ).
tff(f1993,plain,
( spl56_160
<=> ( sK9 = $sum(sF48,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_160])]) ).
tff(f1940,plain,
( spl56_157
<=> ( sK7 = $sum(sF48,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_157])]) ).
tff(f1991,plain,
( ( sK9 = $sum(sF48,1) )
| ~ spl56_146
| ~ spl56_157 ),
inference(forward_demodulation,[],[f1942,f1696]) ).
tff(f1942,plain,
( ( sK7 = $sum(sF48,1) )
| ~ spl56_157 ),
inference(avatar_component_clause,[],[f1940]) ).
tff(f1990,plain,
( ~ spl56_159
| ~ spl56_91 ),
inference(avatar_split_clause,[],[f1984,f1155,f1987]) ).
tff(f1987,plain,
( spl56_159
<=> $less(sK12,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_159])]) ).
tff(f1155,plain,
( spl56_91
<=> $less(0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_91])]) ).
tff(f1984,plain,
( ~ $less(sK12,0)
| ~ spl56_91 ),
inference(interpreted_simplification,[],[f1983]) ).
tff(f1983,plain,
( ~ $less(sK12,0)
| $less(0,0)
| ~ spl56_91 ),
inference(instantiation,[],[f1777]) ).
tff(f1777,plain,
( ! [X0: $int] :
( ~ $less(sK12,X0)
| $less(0,X0) )
| ~ spl56_91 ),
inference(resolution,[],[f1157,f121]) ).
tff(f1157,plain,
( $less(0,sK12)
| ~ spl56_91 ),
inference(avatar_component_clause,[],[f1155]) ).
tff(f1982,plain,
( spl56_158
| ~ spl56_22
| ~ spl56_146 ),
inference(avatar_split_clause,[],[f1977,f1694,f697,f1979]) ).
tff(f1979,plain,
( spl56_158
<=> sorted_sub(sK5,0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_158])]) ).
tff(f697,plain,
( spl56_22
<=> sorted_sub(sK5,0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_22])]) ).
tff(f1977,plain,
( sorted_sub(sK5,0,sK9)
| ~ spl56_22
| ~ spl56_146 ),
inference(superposition,[],[f699,f1696]) ).
tff(f699,plain,
( sorted_sub(sK5,0,sK7)
| ~ spl56_22 ),
inference(avatar_component_clause,[],[f697]) ).
tff(f1969,plain,
( spl56_146
| ~ spl56_138
| ~ spl56_140 ),
inference(avatar_split_clause,[],[f1968,f1662,f1635,f1694]) ).
tff(f1968,plain,
( ( sK9 = sK7 )
| ~ spl56_138
| ~ spl56_140 ),
inference(forward_demodulation,[],[f1664,f1637]) ).
tff(f1664,plain,
( ( sK7 = sK13 )
| ~ spl56_140 ),
inference(avatar_component_clause,[],[f1662]) ).
tff(f1943,plain,
( spl56_157
| ~ spl56_38
| ~ spl56_77 ),
inference(avatar_split_clause,[],[f1938,f995,f778,f1940]) ).
tff(f778,plain,
( spl56_38
<=> ( sF49 = $sum(sF48,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_38])]) ).
tff(f995,plain,
( spl56_77
<=> ( sF49 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_77])]) ).
tff(f1938,plain,
( ( sK7 = $sum(sF48,1) )
| ~ spl56_38
| ~ spl56_77 ),
inference(forward_demodulation,[],[f780,f997]) ).
tff(f997,plain,
( ( sF49 = sK7 )
| ~ spl56_77 ),
inference(avatar_component_clause,[],[f995]) ).
tff(f780,plain,
( ( sF49 = $sum(sF48,1) )
| ~ spl56_38 ),
inference(avatar_component_clause,[],[f778]) ).
tff(f1937,plain,
( spl56_136
| ~ spl56_6
| ~ spl56_138 ),
inference(avatar_split_clause,[],[f1923,f1635,f615,f1626]) ).
tff(f1626,plain,
( spl56_136
<=> $less(sK9,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_136])]) ).
tff(f1923,plain,
( $less(sK9,sK12)
| ~ spl56_6
| ~ spl56_138 ),
inference(superposition,[],[f617,f1637]) ).
tff(f1936,plain,
( spl56_156
| ~ spl56_36
| ~ spl56_37
| ~ spl56_138 ),
inference(avatar_split_clause,[],[f1931,f1635,f773,f768,f1933]) ).
tff(f1931,plain,
( ( sF38 = sF43 )
| ~ spl56_36
| ~ spl56_37
| ~ spl56_138 ),
inference(forward_demodulation,[],[f1925,f775]) ).
tff(f1925,plain,
( ( t2tb(sK9) = sF43 )
| ~ spl56_36
| ~ spl56_138 ),
inference(superposition,[],[f770,f1637]) ).
tff(f1881,plain,
( spl56_155
| ~ spl56_27
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1876,f823,f723,f1878]) ).
tff(f1878,plain,
( spl56_155
<=> ( sF23 = $sum(sK2,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_155])]) ).
tff(f723,plain,
( spl56_27
<=> ( sF23 = $sum(sK2,sF22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_27])]) ).
tff(f823,plain,
( spl56_47
<=> ( sF22 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_47])]) ).
tff(f1876,plain,
( ( sF23 = $sum(sK2,-1) )
| ~ spl56_27
| ~ spl56_47 ),
inference(forward_demodulation,[],[f725,f825]) ).
tff(f825,plain,
( ( sF22 = -1 )
| ~ spl56_47 ),
inference(avatar_component_clause,[],[f823]) ).
tff(f725,plain,
( ( sF23 = $sum(sK2,sF22) )
| ~ spl56_27 ),
inference(avatar_component_clause,[],[f723]) ).
tff(f1841,plain,
( spl56_154
| ~ spl56_26
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1836,f823,f718,f1838]) ).
tff(f1838,plain,
( spl56_154
<=> ( $sum(k,-1) = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_154])]) ).
tff(f718,plain,
( spl56_26
<=> ( sF36 = $sum(k,sF22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_26])]) ).
tff(f1836,plain,
( ( $sum(k,-1) = sF36 )
| ~ spl56_26
| ~ spl56_47 ),
inference(forward_demodulation,[],[f720,f825]) ).
tff(f720,plain,
( ( sF36 = $sum(k,sF22) )
| ~ spl56_26 ),
inference(avatar_component_clause,[],[f718]) ).
tff(f1828,plain,
( spl56_153
| ~ spl56_23
| ~ spl56_47 ),
inference(avatar_split_clause,[],[f1823,f823,f702,f1825]) ).
tff(f1825,plain,
( spl56_153
<=> ( $sum(sK8,-1) = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_153])]) ).
tff(f702,plain,
( spl56_23
<=> ( sF50 = $sum(sK8,sF22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_23])]) ).
tff(f1823,plain,
( ( $sum(sK8,-1) = sF50 )
| ~ spl56_23
| ~ spl56_47 ),
inference(forward_demodulation,[],[f704,f825]) ).
tff(f704,plain,
( ( sF50 = $sum(sK8,sF22) )
| ~ spl56_23 ),
inference(avatar_component_clause,[],[f702]) ).
tff(f1807,plain,
( ~ spl56_152
| ~ spl56_74 ),
inference(avatar_split_clause,[],[f1796,f977,f1804]) ).
tff(f1804,plain,
( spl56_152
<=> $less(1,sF45) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_152])]) ).
tff(f1796,plain,
( ~ $less(1,sF45)
| ~ spl56_74 ),
inference(resolution,[],[f1740,f120]) ).
tff(f1802,plain,
( spl56_151
| ~ spl56_74 ),
inference(avatar_split_clause,[],[f1795,f977,f1799]) ).
tff(f1799,plain,
( spl56_151
<=> $less(sF45,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_151])]) ).
tff(f1795,plain,
( $less(sF45,2)
| ~ spl56_74 ),
inference(interpreted_simplification,[],[f1794]) ).
tff(f1794,plain,
( $less(sF45,2)
| ~ $less(1,2)
| ~ spl56_74 ),
inference(instantiation,[],[f1740]) ).
tff(f1788,plain,
( spl56_150
| ~ spl56_8
| ~ spl56_18 ),
inference(avatar_split_clause,[],[f1783,f676,f625,f1785]) ).
tff(f1785,plain,
( spl56_150
<=> ( $sum(sK9,1) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_150])]) ).
tff(f625,plain,
( spl56_8
<=> ( sF41 = $sum(sK9,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_8])]) ).
tff(f676,plain,
( spl56_18
<=> ( sF41 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_18])]) ).
tff(f1783,plain,
( ( $sum(sK9,1) = sK12 )
| ~ spl56_8
| ~ spl56_18 ),
inference(forward_demodulation,[],[f627,f678]) ).
tff(f678,plain,
( ( sF41 = sK12 )
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f676]) ).
tff(f627,plain,
( ( sF41 = $sum(sK9,1) )
| ~ spl56_8 ),
inference(avatar_component_clause,[],[f625]) ).
tff(f1782,plain,
( spl56_149
| ~ spl56_42
| ~ spl56_91 ),
inference(avatar_split_clause,[],[f1776,f1155,f798,f1779]) ).
tff(f1779,plain,
( spl56_149
<=> $less(sF45,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_149])]) ).
tff(f1776,plain,
( $less(sF45,sK12)
| ~ spl56_42
| ~ spl56_91 ),
inference(resolution,[],[f1157,f900]) ).
tff(f1775,plain,
( ~ spl56_148
| ~ spl56_42
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f1769,f1019,f798,f1772]) ).
tff(f1769,plain,
( ~ $less(sK9,sF45)
| ~ spl56_42
| ~ spl56_78 ),
inference(resolution,[],[f1704,f120]) ).
tff(f1701,plain,
( spl56_146
| spl56_147
| spl56_121 ),
inference(avatar_split_clause,[],[f1683,f1466,f1698,f1694]) ).
tff(f1683,plain,
( $less(sK7,sK9)
| ( sK9 = sK7 )
| spl56_121 ),
inference(resolution,[],[f1468,f122]) ).
tff(f1692,plain,
( spl56_144
| spl56_145
| ~ spl56_1
| spl56_121 ),
inference(avatar_split_clause,[],[f1682,f1466,f590,f1689,f1685]) ).
tff(f1685,plain,
( spl56_144
<=> ( sK7 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_144])]) ).
tff(f1689,plain,
( spl56_145
<=> $less(sK7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_145])]) ).
tff(f1682,plain,
( $less(sK7,sK2)
| ( sK7 = sK2 )
| ~ spl56_1
| spl56_121 ),
inference(resolution,[],[f1468,f906]) ).
tff(f1678,plain,
( spl56_142
| spl56_143
| ~ spl56_6
| spl56_114 ),
inference(avatar_split_clause,[],[f1659,f1415,f615,f1675,f1671]) ).
tff(f1671,plain,
( spl56_142
<=> ( sK7 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_142])]) ).
tff(f1675,plain,
( spl56_143
<=> $less(sK7,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_143])]) ).
tff(f1659,plain,
( $less(sK7,sK12)
| ( sK7 = sK12 )
| ~ spl56_6
| spl56_114 ),
inference(resolution,[],[f1417,f972]) ).
tff(f1417,plain,
( ~ $less(sK13,sK7)
| spl56_114 ),
inference(avatar_component_clause,[],[f1415]) ).
tff(f1669,plain,
( spl56_140
| spl56_141
| spl56_114 ),
inference(avatar_split_clause,[],[f1660,f1415,f1666,f1662]) ).
tff(f1660,plain,
( $less(sK7,sK13)
| ( sK7 = sK13 )
| spl56_114 ),
inference(resolution,[],[f1417,f122]) ).
tff(f1642,plain,
( spl56_138
| spl56_139
| spl56_113 ),
inference(avatar_split_clause,[],[f1624,f1409,f1639,f1635]) ).
tff(f1624,plain,
( $less(sK9,sK13)
| ( sK9 = sK13 )
| spl56_113 ),
inference(resolution,[],[f1411,f122]) ).
tff(f1411,plain,
( ~ $less(sK13,sK9)
| spl56_113 ),
inference(avatar_component_clause,[],[f1409]) ).
tff(f1633,plain,
( spl56_136
| spl56_137
| ~ spl56_6
| spl56_113 ),
inference(avatar_split_clause,[],[f1623,f1409,f615,f1630,f1626]) ).
tff(f1630,plain,
( spl56_137
<=> ( sK9 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_137])]) ).
tff(f1623,plain,
( ( sK9 = sK12 )
| $less(sK9,sK12)
| ~ spl56_6
| spl56_113 ),
inference(resolution,[],[f1411,f972]) ).
tff(f1613,plain,
( spl56_134
| spl56_135
| spl56_100 ),
inference(avatar_split_clause,[],[f1604,f1281,f1610,f1606]) ).
tff(f1610,plain,
( spl56_135
<=> ( sK7 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_135])]) ).
tff(f1604,plain,
( ( sK7 = sK6 )
| $less(sK7,sK6)
| spl56_100 ),
inference(resolution,[],[f1283,f122]) ).
tff(f1599,plain,
( ~ spl56_133
| ~ spl56_75 ),
inference(avatar_split_clause,[],[f1592,f985,f1596]) ).
tff(f1596,plain,
( spl56_133
<=> $less(sK8,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_133])]) ).
tff(f1592,plain,
( ~ $less(sK8,0)
| ~ spl56_75 ),
inference(interpreted_simplification,[],[f1591]) ).
tff(f1591,plain,
( ~ $less(sK8,0)
| $less(1,0)
| ~ spl56_75 ),
inference(instantiation,[],[f1396]) ).
tff(f1396,plain,
( ! [X0: $int] :
( ~ $less(sK8,X0)
| $less(1,X0) )
| ~ spl56_75 ),
inference(resolution,[],[f987,f121]) ).
tff(f1576,plain,
( spl56_132
| ~ spl56_30 ),
inference(avatar_split_clause,[],[f1569,f738,f1573]) ).
tff(f1573,plain,
( spl56_132
<=> ( 0 = $sum(sK8,sF47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_132])]) ).
tff(f1569,plain,
( ( 0 = $sum(sK8,sF47) )
| ~ spl56_30 ),
inference(superposition,[],[f1531,f740]) ).
tff(f1531,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
inference(forward_demodulation,[],[f1530,f1060]) ).
tff(f1530,plain,
! [X0: $int,X1: lparray_intcm_intrp] : ( num_of1(X1,X0,X0) = $sum(X0,$uminus(X0)) ),
inference(subsumption_resolution,[],[f1529,f120]) ).
tff(f1529,plain,
! [X0: $int,X1: lparray_intcm_intrp] :
( ( num_of1(X1,X0,X0) = $sum(X0,$uminus(X0)) )
| $less(X0,X0) ),
inference(duplicate_literal_removal,[],[f1526]) ).
tff(f1526,plain,
! [X0: $int,X1: lparray_intcm_intrp] :
( $less(X0,X0)
| ( num_of1(X1,X0,X0) = $sum(X0,$uminus(X0)) )
| ( num_of1(X1,X0,X0) = $sum(X0,$uminus(X0)) )
| $less(X0,X0) ),
inference(resolution,[],[f427,f425]) ).
tff(f425,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( $less(sK14(X0,X1,X2),X1)
| ( $sum(X1,$uminus(X2)) = num_of1(X0,X2,X1) )
| $less(X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
tff(f307,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( $sum(X1,$uminus(X2)) = num_of1(X0,X2,X1) )
| $less(X1,X2)
| ( ~ $less(sK14(X0,X1,X2),X2)
& ~ lt(X0,sK14(X0,X1,X2))
& $less(sK14(X0,X1,X2),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f305,f306]) ).
tff(f306,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ? [X3: $int] :
( ~ $less(X3,X2)
& ~ lt(X0,X3)
& $less(X3,X1) )
=> ( ~ $less(sK14(X0,X1,X2),X2)
& ~ lt(X0,sK14(X0,X1,X2))
& $less(sK14(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f305,plain,
! [X0: lparray_intcm_intrp,X1: $int,X2: $int] :
( ( $sum(X1,$uminus(X2)) = num_of1(X0,X2,X1) )
| $less(X1,X2)
| ? [X3: $int] :
( ~ $less(X3,X2)
& ~ lt(X0,X3)
& $less(X3,X1) ) ),
inference(rectify,[],[f245]) ).
tff(f245,plain,
! [X2: lparray_intcm_intrp,X0: $int,X1: $int] :
( ( num_of1(X2,X1,X0) = $sum(X0,$uminus(X1)) )
| $less(X0,X1)
| ? [X3: $int] :
( ~ $less(X3,X1)
& ~ lt(X2,X3)
& $less(X3,X0) ) ),
inference(flattening,[],[f244]) ).
tff(f244,plain,
! [X0: $int,X2: lparray_intcm_intrp,X1: $int] :
( ( num_of1(X2,X1,X0) = $sum(X0,$uminus(X1)) )
| ? [X3: $int] :
( ~ lt(X2,X3)
& $less(X3,X0)
& ~ $less(X3,X1) )
| $less(X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
tff(f134,plain,
! [X0: $int,X2: lparray_intcm_intrp,X1: $int] :
( ~ $less(X0,X1)
=> ( ! [X3: $int] :
( ( $less(X3,X0)
& ~ $less(X3,X1) )
=> lt(X2,X3) )
=> ( num_of1(X2,X1,X0) = $sum(X0,$uminus(X1)) ) ) ),
inference(rectify,[],[f87]) ).
tff(f87,plain,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( ~ $less(X8,X0)
=> ( ! [X17: $int] :
( ( $less(X17,X8)
& ~ $less(X17,X0) )
=> lt(X21,X17) )
=> ( num_of1(X21,X0,X8) = $sum(X8,$uminus(X0)) ) ) ),
inference(theory_normalization,[],[f73]) ).
tff(f73,axiom,
! [X8: $int,X0: $int,X21: lparray_intcm_intrp] :
( $lesseq(X0,X8)
=> ( ! [X17: $int] :
( ( $less(X17,X8)
& $lesseq(X0,X17) )
=> lt(X21,X17) )
=> ( $difference(X8,X0) = num_of1(X21,X0,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',full1) ).
tff(f427,plain,
! [X2: $int,X0: lparray_intcm_intrp,X1: $int] :
( ~ $less(sK14(X0,X1,X2),X2)
| ( $sum(X1,$uminus(X2)) = num_of1(X0,X2,X1) )
| $less(X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
tff(f1568,plain,
( spl56_131
| ~ spl56_54 ),
inference(avatar_split_clause,[],[f1563,f859,f1565]) ).
tff(f1565,plain,
( spl56_131
<=> ( t2tb3(sF52) = sF51 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_131])]) ).
tff(f859,plain,
( spl56_54
<=> ( tb2t3(sF51) = sF52 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_54])]) ).
tff(f1563,plain,
( ( t2tb3(sF52) = sF51 )
| ~ spl56_54 ),
inference(superposition,[],[f413,f861]) ).
tff(f861,plain,
( ( tb2t3(sF51) = sF52 )
| ~ spl56_54 ),
inference(avatar_component_clause,[],[f859]) ).
tff(f413,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
tff(f193,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X15: uni] : ( t2tb3(tb2t3(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3) ).
tff(f1562,plain,
( spl56_130
| ~ spl56_51 ),
inference(avatar_split_clause,[],[f1557,f844,f1559]) ).
tff(f1559,plain,
( spl56_130
<=> ( t2tb3(sF29) = sF28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_130])]) ).
tff(f844,plain,
( spl56_51
<=> ( tb2t3(sF28) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_51])]) ).
tff(f1557,plain,
( ( t2tb3(sF29) = sF28 )
| ~ spl56_51 ),
inference(superposition,[],[f413,f846]) ).
tff(f846,plain,
( ( tb2t3(sF28) = sF29 )
| ~ spl56_51 ),
inference(avatar_component_clause,[],[f844]) ).
tff(f1552,plain,
( spl56_128
| spl56_129
| spl56_99 ),
inference(avatar_split_clause,[],[f1543,f1275,f1549,f1545]) ).
tff(f1549,plain,
( spl56_129
<=> ( sK9 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_129])]) ).
tff(f1543,plain,
( ( sK9 = sK6 )
| $less(sK9,sK6)
| spl56_99 ),
inference(resolution,[],[f1277,f122]) ).
tff(f1542,plain,
( spl56_127
| ~ spl56_48 ),
inference(avatar_split_clause,[],[f1537,f828,f1539]) ).
tff(f1539,plain,
( spl56_127
<=> ( sF26 = t2tb2(sF55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_127])]) ).
tff(f828,plain,
( spl56_48
<=> ( tb2t2(sF26) = sF55 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_48])]) ).
tff(f1537,plain,
( ( sF26 = t2tb2(sF55) )
| ~ spl56_48 ),
inference(superposition,[],[f481,f830]) ).
tff(f830,plain,
( ( tb2t2(sF26) = sF55 )
| ~ spl56_48 ),
inference(avatar_component_clause,[],[f828]) ).
tff(f1520,plain,
( spl56_126
| ~ spl56_45 ),
inference(avatar_split_clause,[],[f1515,f813,f1517]) ).
tff(f1517,plain,
( spl56_126
<=> ( tb2t1(sF33) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_126])]) ).
tff(f813,plain,
( spl56_45
<=> ( sF33 = t2tb1(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_45])]) ).
tff(f1515,plain,
( ( tb2t1(sF33) = sK4 )
| ~ spl56_45 ),
inference(superposition,[],[f432,f815]) ).
tff(f815,plain,
( ( sF33 = t2tb1(sK4) )
| ~ spl56_45 ),
inference(avatar_component_clause,[],[f813]) ).
tff(f432,plain,
! [X0: map_int_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: map_int_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X14: map_int_int] : ( tb2t1(t2tb1(X14)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1) ).
tff(f1509,plain,
( spl56_125
| ~ spl56_42
| ~ spl56_81 ),
inference(avatar_split_clause,[],[f1503,f1035,f798,f1506]) ).
tff(f1506,plain,
( spl56_125
<=> $less(sF45,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_125])]) ).
tff(f1035,plain,
( spl56_81
<=> $less(0,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_81])]) ).
tff(f1503,plain,
( $less(sF45,sF23)
| ~ spl56_42
| ~ spl56_81 ),
inference(resolution,[],[f1037,f900]) ).
tff(f1037,plain,
( $less(0,sF23)
| ~ spl56_81 ),
inference(avatar_component_clause,[],[f1035]) ).
tff(f1493,plain,
( spl56_124
| ~ spl56_42
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f1487,f1019,f798,f1490]) ).
tff(f1487,plain,
( $less(sF45,sK9)
| ~ spl56_42
| ~ spl56_78 ),
inference(resolution,[],[f1021,f900]) ).
tff(f1480,plain,
( spl56_123
| ~ spl56_37 ),
inference(avatar_split_clause,[],[f1458,f773,f1477]) ).
tff(f1477,plain,
( spl56_123
<=> ( sK9 = tb2t(sF38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_123])]) ).
tff(f1458,plain,
( ( sK9 = tb2t(sF38) )
| ~ spl56_37 ),
inference(superposition,[],[f509,f775]) ).
tff(f509,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X14: $int] : ( tb2t(t2tb(X14)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL) ).
tff(f1475,plain,
( ~ spl56_122
| ~ spl56_121
| ~ spl56_37
| spl56_56 ),
inference(avatar_split_clause,[],[f1470,f869,f773,f1466,f1472]) ).
tff(f1472,plain,
( spl56_122
<=> $less(tb2t(get(int,int,sF31,sF38)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_122])]) ).
tff(f1470,plain,
( ~ $less(sK9,sK7)
| ~ $less(tb2t(get(int,int,sF31,sF38)),0)
| ~ spl56_37
| spl56_56 ),
inference(subsumption_resolution,[],[f1456,f871]) ).
tff(f1456,plain,
( ~ $less(tb2t(get(int,int,sF31,sF38)),0)
| $less(sK9,0)
| ~ $less(sK9,sK7)
| ~ spl56_37 ),
inference(superposition,[],[f546,f775]) ).
tff(f1469,plain,
( spl56_120
| ~ spl56_121
| ~ spl56_37
| spl56_56 ),
inference(avatar_split_clause,[],[f1460,f869,f773,f1466,f1462]) ).
tff(f1462,plain,
( spl56_120
<=> $less(tb2t(get(int,int,sF31,sF38)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_120])]) ).
tff(f1460,plain,
( ~ $less(sK9,sK7)
| $less(tb2t(get(int,int,sF31,sF38)),sK6)
| ~ spl56_37
| spl56_56 ),
inference(subsumption_resolution,[],[f1457,f871]) ).
tff(f1457,plain,
( $less(sK9,0)
| ~ $less(sK9,sK7)
| $less(tb2t(get(int,int,sF31,sF38)),sK6)
| ~ spl56_37 ),
inference(superposition,[],[f545,f775]) ).
tff(f1453,plain,
( ~ spl56_119
| ~ spl56_72 ),
inference(avatar_split_clause,[],[f1447,f964,f1450]) ).
tff(f1447,plain,
( ~ $less(sF35,0)
| ~ spl56_72 ),
inference(interpreted_simplification,[],[f1446]) ).
tff(f1446,plain,
( ~ $less(sF35,0)
| $less(1,0)
| ~ spl56_72 ),
inference(instantiation,[],[f1371]) ).
tff(f1371,plain,
( ! [X0: $int] :
( ~ $less(sF35,X0)
| $less(1,X0) )
| ~ spl56_72 ),
inference(resolution,[],[f966,f121]) ).
tff(f1439,plain,
( ~ spl56_114
| spl56_118
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f1434,f768,f640,f1436,f1415]) ).
tff(f1436,plain,
( spl56_118
<=> $less(tb2t(get(int,int,sF31,sF43)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_118])]) ).
tff(f1434,plain,
( $less(tb2t(get(int,int,sF31,sF43)),sK6)
| ~ $less(sK13,sK7)
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f1400,f642]) ).
tff(f1400,plain,
( $less(tb2t(get(int,int,sF31,sF43)),sK6)
| $less(sK13,0)
| ~ $less(sK13,sK7)
| ~ spl56_36 ),
inference(superposition,[],[f545,f770]) ).
tff(f1433,plain,
( ~ spl56_117
| ~ spl56_113
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f1428,f768,f640,f1409,f1430]) ).
tff(f1430,plain,
( spl56_117
<=> $less(tb2t(get(int,int,sF37,sF43)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_117])]) ).
tff(f1428,plain,
( ~ $less(sK13,sK9)
| ~ $less(tb2t(get(int,int,sF37,sF43)),0)
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f1398,f642]) ).
tff(f1398,plain,
( $less(sK13,0)
| ~ $less(tb2t(get(int,int,sF37,sF43)),0)
| ~ $less(sK13,sK9)
| ~ spl56_36 ),
inference(superposition,[],[f577,f770]) ).
tff(f1427,plain,
( spl56_116
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f1401,f768,f1424]) ).
tff(f1424,plain,
( spl56_116
<=> ( tb2t(sF43) = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_116])]) ).
tff(f1401,plain,
( ( tb2t(sF43) = sK13 )
| ~ spl56_36 ),
inference(superposition,[],[f509,f770]) ).
tff(f1422,plain,
( ~ spl56_114
| ~ spl56_115
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f1413,f768,f640,f1419,f1415]) ).
tff(f1419,plain,
( spl56_115
<=> $less(tb2t(get(int,int,sF31,sF43)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_115])]) ).
tff(f1413,plain,
( ~ $less(tb2t(get(int,int,sF31,sF43)),0)
| ~ $less(sK13,sK7)
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f1399,f642]) ).
tff(f1399,plain,
( ~ $less(tb2t(get(int,int,sF31,sF43)),0)
| ~ $less(sK13,sK7)
| $less(sK13,0)
| ~ spl56_36 ),
inference(superposition,[],[f546,f770]) ).
tff(f1412,plain,
( ~ spl56_112
| ~ spl56_113
| spl56_11
| ~ spl56_36 ),
inference(avatar_split_clause,[],[f1403,f768,f640,f1409,f1405]) ).
tff(f1405,plain,
( spl56_112
<=> $less(sK6,tb2t(get(int,int,sF37,sF43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_112])]) ).
tff(f1403,plain,
( ~ $less(sK13,sK9)
| ~ $less(sK6,tb2t(get(int,int,sF37,sF43)))
| spl56_11
| ~ spl56_36 ),
inference(subsumption_resolution,[],[f1397,f642]) ).
tff(f1397,plain,
( ~ $less(sK13,sK9)
| ~ $less(sK6,tb2t(get(int,int,sF37,sF43)))
| $less(sK13,0)
| ~ spl56_36 ),
inference(superposition,[],[f578,f770]) ).
tff(f1385,plain,
( spl56_111
| ~ spl56_35 ),
inference(avatar_split_clause,[],[f1380,f763,f1382]) ).
tff(f1382,plain,
( spl56_111
<=> ( sK1 = tb2t1(sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_111])]) ).
tff(f763,plain,
( spl56_35
<=> ( t2tb1(sK1) = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_35])]) ).
tff(f1380,plain,
( ( sK1 = tb2t1(sF25) )
| ~ spl56_35 ),
inference(superposition,[],[f432,f765]) ).
tff(f765,plain,
( ( t2tb1(sK1) = sF25 )
| ~ spl56_35 ),
inference(avatar_component_clause,[],[f763]) ).
tff(f1369,plain,
( spl56_110
| ~ spl56_42
| ~ spl56_71 ),
inference(avatar_split_clause,[],[f1363,f959,f798,f1366]) ).
tff(f1363,plain,
( $less(sF45,sK2)
| ~ spl56_42
| ~ spl56_71 ),
inference(resolution,[],[f961,f900]) ).
tff(f1362,plain,
( spl56_91
| spl56_109
| ~ spl56_6
| spl56_11 ),
inference(avatar_split_clause,[],[f1354,f640,f615,f1359,f1155]) ).
tff(f1359,plain,
( spl56_109
<=> ( 0 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_109])]) ).
tff(f1354,plain,
( ( 0 = sK12 )
| $less(0,sK12)
| ~ spl56_6
| spl56_11 ),
inference(resolution,[],[f972,f642]) ).
tff(f1353,plain,
( spl56_108
| spl56_85
| spl56_43 ),
inference(avatar_split_clause,[],[f1348,f802,f1086,f1350]) ).
tff(f1350,plain,
( spl56_108
<=> ( sF45 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_108])]) ).
tff(f1086,plain,
( spl56_85
<=> $less(sF45,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_85])]) ).
tff(f1348,plain,
( $less(sF45,sK6)
| ( sF45 = sK6 )
| spl56_43 ),
inference(resolution,[],[f803,f122]) ).
tff(f803,plain,
( ~ $less(sK6,sF45)
| spl56_43 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f1346,plain,
( ~ spl56_43
| ~ spl56_42
| ~ spl56_61 ),
inference(avatar_split_clause,[],[f1344,f914,f798,f802]) ).
tff(f1344,plain,
( ~ $less(sK6,sF45)
| ~ spl56_42
| ~ spl56_61 ),
inference(resolution,[],[f1121,f120]) ).
tff(f1342,plain,
( spl56_107
| ~ spl56_33 ),
inference(avatar_split_clause,[],[f1337,f753,f1339]) ).
tff(f1339,plain,
( spl56_107
<=> ( sK5 = tb2t1(sF31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_107])]) ).
tff(f753,plain,
( spl56_33
<=> ( t2tb1(sK5) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_33])]) ).
tff(f1337,plain,
( ( sK5 = tb2t1(sF31) )
| ~ spl56_33 ),
inference(superposition,[],[f432,f755]) ).
tff(f755,plain,
( ( t2tb1(sK5) = sF31 )
| ~ spl56_33 ),
inference(avatar_component_clause,[],[f753]) ).
tff(f1321,plain,
( spl56_106
| ~ spl56_25 ),
inference(avatar_split_clause,[],[f1316,f713,f1318]) ).
tff(f1318,plain,
( spl56_106
<=> ( sK10 = tb2t1(sF37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_106])]) ).
tff(f713,plain,
( spl56_25
<=> ( sF37 = t2tb1(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_25])]) ).
tff(f1316,plain,
( ( sK10 = tb2t1(sF37) )
| ~ spl56_25 ),
inference(superposition,[],[f432,f715]) ).
tff(f715,plain,
( ( sF37 = t2tb1(sK10) )
| ~ spl56_25 ),
inference(avatar_component_clause,[],[f713]) ).
tff(f1312,plain,
( spl56_105
| ~ spl56_17 ),
inference(avatar_split_clause,[],[f1307,f670,f1309]) ).
tff(f1309,plain,
( spl56_105
<=> ( tb2t1(sF42) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_105])]) ).
tff(f1307,plain,
( ( tb2t1(sF42) = sK11 )
| ~ spl56_17 ),
inference(superposition,[],[f432,f672]) ).
tff(f1305,plain,
( ~ spl56_100
| ~ spl56_104
| spl56_13
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f1300,f660,f650,f1302,f1281]) ).
tff(f1302,plain,
( spl56_104
<=> $less(tb2t(get(int,int,sF31,sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_104])]) ).
tff(f1300,plain,
( ~ $less(tb2t(get(int,int,sF31,sF27)),0)
| ~ $less(sK6,sK7)
| spl56_13
| ~ spl56_15 ),
inference(subsumption_resolution,[],[f1265,f652]) ).
tff(f1265,plain,
( $less(sK6,0)
| ~ $less(tb2t(get(int,int,sF31,sF27)),0)
| ~ $less(sK6,sK7)
| ~ spl56_15 ),
inference(superposition,[],[f546,f662]) ).
tff(f1299,plain,
( spl56_103
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f1267,f660,f1296]) ).
tff(f1296,plain,
( spl56_103
<=> ( tb2t(sF27) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_103])]) ).
tff(f1267,plain,
( ( tb2t(sF27) = sK6 )
| ~ spl56_15 ),
inference(superposition,[],[f509,f662]) ).
tff(f1294,plain,
( ~ spl56_102
| ~ spl56_99
| spl56_13
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f1289,f660,f650,f1275,f1291]) ).
tff(f1291,plain,
( spl56_102
<=> $less(tb2t(get(int,int,sF37,sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_102])]) ).
tff(f1289,plain,
( ~ $less(sK6,sK9)
| ~ $less(tb2t(get(int,int,sF37,sF27)),0)
| spl56_13
| ~ spl56_15 ),
inference(subsumption_resolution,[],[f1264,f652]) ).
tff(f1264,plain,
( ~ $less(tb2t(get(int,int,sF37,sF27)),0)
| ~ $less(sK6,sK9)
| $less(sK6,0)
| ~ spl56_15 ),
inference(superposition,[],[f577,f662]) ).
tff(f1288,plain,
( ~ spl56_100
| spl56_101
| spl56_13
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f1279,f660,f650,f1285,f1281]) ).
tff(f1285,plain,
( spl56_101
<=> $less(tb2t(get(int,int,sF31,sF27)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_101])]) ).
tff(f1279,plain,
( $less(tb2t(get(int,int,sF31,sF27)),sK6)
| ~ $less(sK6,sK7)
| spl56_13
| ~ spl56_15 ),
inference(subsumption_resolution,[],[f1266,f652]) ).
tff(f1266,plain,
( $less(tb2t(get(int,int,sF31,sF27)),sK6)
| $less(sK6,0)
| ~ $less(sK6,sK7)
| ~ spl56_15 ),
inference(superposition,[],[f545,f662]) ).
tff(f1278,plain,
( ~ spl56_98
| ~ spl56_99
| spl56_13
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f1269,f660,f650,f1275,f1271]) ).
tff(f1271,plain,
( spl56_98
<=> $less(sK6,tb2t(get(int,int,sF37,sF27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_98])]) ).
tff(f1269,plain,
( ~ $less(sK6,sK9)
| ~ $less(sK6,tb2t(get(int,int,sF37,sF27)))
| spl56_13
| ~ spl56_15 ),
inference(subsumption_resolution,[],[f1263,f652]) ).
tff(f1263,plain,
( ~ $less(sK6,sK9)
| $less(sK6,0)
| ~ $less(sK6,tb2t(get(int,int,sF37,sF27)))
| ~ spl56_15 ),
inference(superposition,[],[f578,f662]) ).
tff(f1261,plain,
( spl56_91
| ~ spl56_6
| ~ spl56_69 ),
inference(avatar_split_clause,[],[f1259,f950,f615,f1155]) ).
tff(f950,plain,
( spl56_69
<=> $less(0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_69])]) ).
tff(f1259,plain,
( $less(0,sK12)
| ~ spl56_6
| ~ spl56_69 ),
inference(resolution,[],[f1212,f617]) ).
tff(f1212,plain,
( ! [X0: $int] :
( ~ $less(sK13,X0)
| $less(0,X0) )
| ~ spl56_69 ),
inference(resolution,[],[f952,f121]) ).
tff(f952,plain,
( $less(0,sK13)
| ~ spl56_69 ),
inference(avatar_component_clause,[],[f950]) ).
tff(f1241,plain,
( spl56_97
| ~ spl56_12 ),
inference(avatar_split_clause,[],[f1236,f645,f1238]) ).
tff(f1238,plain,
( spl56_97
<=> ( sF44 = t2tb(sF45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_97])]) ).
tff(f645,plain,
( spl56_12
<=> ( sF45 = tb2t(sF44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_12])]) ).
tff(f1236,plain,
( ( sF44 = t2tb(sF45) )
| ~ spl56_12 ),
inference(superposition,[],[f374,f647]) ).
tff(f647,plain,
( ( sF45 = tb2t(sF44) )
| ~ spl56_12 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f1217,plain,
( spl56_96
| ~ spl56_42
| ~ spl56_69 ),
inference(avatar_split_clause,[],[f1211,f950,f798,f1214]) ).
tff(f1211,plain,
( $less(sF45,sK13)
| ~ spl56_42
| ~ spl56_69 ),
inference(resolution,[],[f952,f900]) ).
tff(f1196,plain,
( ~ spl56_95
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f1189,f1019,f1193]) ).
tff(f1193,plain,
( spl56_95
<=> $less(sK6,tb2t(get(int,int,sF37,t2tb(0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_95])]) ).
tff(f1189,plain,
( ~ $less(0,sK9)
| ~ $less(sK6,tb2t(get(int,int,sF37,t2tb(0)))) ),
inference(interpreted_simplification,[],[f1188]) ).
tff(f1188,plain,
( ~ $less(sK6,tb2t(get(int,int,sF37,t2tb(0))))
| $less(0,0)
| ~ $less(0,sK9) ),
inference(instantiation,[],[f578]) ).
tff(f1187,plain,
( ~ spl56_94
| ~ spl56_78 ),
inference(avatar_split_clause,[],[f1180,f1019,f1184]) ).
tff(f1184,plain,
( spl56_94
<=> $less(tb2t(get(int,int,sF37,t2tb(0))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_94])]) ).
tff(f1180,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF37,t2tb(0))),0) ),
inference(interpreted_simplification,[],[f1179]) ).
tff(f1179,plain,
( ~ $less(tb2t(get(int,int,sF37,t2tb(0))),0)
| ~ $less(0,sK9)
| $less(0,0) ),
inference(instantiation,[],[f577]) ).
tff(f1178,plain,
( ~ spl56_89
| ~ spl56_93 ),
inference(avatar_split_clause,[],[f1171,f1175,f1144]) ).
tff(f1175,plain,
( spl56_93
<=> $less(tb2t(get(int,int,sF31,t2tb(0))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_93])]) ).
tff(f1171,plain,
( ~ $less(tb2t(get(int,int,sF31,t2tb(0))),0)
| ~ $less(0,sK7) ),
inference(interpreted_simplification,[],[f1170]) ).
tff(f1170,plain,
( ~ $less(tb2t(get(int,int,sF31,t2tb(0))),0)
| ~ $less(0,sK7)
| $less(0,0) ),
inference(instantiation,[],[f546]) ).
tff(f1169,plain,
( spl56_92
| ~ spl56_88 ),
inference(avatar_split_clause,[],[f1164,f1134,f1166]) ).
tff(f1134,plain,
( spl56_88
<=> ( sK11 = tb2t1(sF39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_88])]) ).
tff(f1164,plain,
( ( t2tb1(sK11) = sF39 )
| ~ spl56_88 ),
inference(superposition,[],[f497,f1136]) ).
tff(f1136,plain,
( ( sK11 = tb2t1(sF39) )
| ~ spl56_88 ),
inference(avatar_component_clause,[],[f1134]) ).
tff(f1163,plain,
( ~ spl56_1
| spl56_56
| ~ spl56_70 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
tff(f1162,plain,
( $false
| ~ spl56_1
| spl56_56
| ~ spl56_70 ),
inference(subsumption_resolution,[],[f1161,f871]) ).
tff(f1161,plain,
( $less(sK9,0)
| ~ spl56_1
| ~ spl56_70 ),
inference(superposition,[],[f592,f957]) ).
tff(f957,plain,
( ( 0 = sK2 )
| ~ spl56_70 ),
inference(avatar_component_clause,[],[f955]) ).
tff(f955,plain,
( spl56_70
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_70])]) ).
tff(f1158,plain,
( spl56_91
| ~ spl56_6
| ~ spl56_68 ),
inference(avatar_split_clause,[],[f1153,f946,f615,f1155]) ).
tff(f946,plain,
( spl56_68
<=> ( 0 = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_68])]) ).
tff(f1153,plain,
( $less(0,sK12)
| ~ spl56_6
| ~ spl56_68 ),
inference(superposition,[],[f617,f948]) ).
tff(f948,plain,
( ( 0 = sK13 )
| ~ spl56_68 ),
inference(avatar_component_clause,[],[f946]) ).
tff(f1151,plain,
( ~ spl56_89
| spl56_90 ),
inference(avatar_split_clause,[],[f1140,f1148,f1144]) ).
tff(f1148,plain,
( spl56_90
<=> $less(tb2t(get(int,int,sF31,t2tb(0))),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_90])]) ).
tff(f1140,plain,
( $less(tb2t(get(int,int,sF31,t2tb(0))),sK6)
| ~ $less(0,sK7) ),
inference(interpreted_simplification,[],[f1139]) ).
tff(f1139,plain,
( $less(tb2t(get(int,int,sF31,t2tb(0))),sK6)
| ~ $less(0,sK7)
| $less(0,0) ),
inference(instantiation,[],[f545]) ).
tff(f1137,plain,
( spl56_88
| ~ spl56_10
| ~ spl56_28 ),
inference(avatar_split_clause,[],[f1132,f728,f635,f1134]) ).
tff(f635,plain,
( spl56_10
<=> ( sF40 = tb2t1(sF39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_10])]) ).
tff(f728,plain,
( spl56_28
<=> ( sF40 = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_28])]) ).
tff(f1132,plain,
( ( sK11 = tb2t1(sF39) )
| ~ spl56_10
| ~ spl56_28 ),
inference(forward_demodulation,[],[f637,f730]) ).
tff(f730,plain,
( ( sF40 = sK11 )
| ~ spl56_28 ),
inference(avatar_component_clause,[],[f728]) ).
tff(f637,plain,
( ( sF40 = tb2t1(sF39) )
| ~ spl56_10 ),
inference(avatar_component_clause,[],[f635]) ).
tff(f1129,plain,
( spl56_87
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f1124,f600,f1126]) ).
tff(f600,plain,
( spl56_3
<=> ( sF35 = tb2t(sF34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_3])]) ).
tff(f1124,plain,
( ( sF34 = t2tb(sF35) )
| ~ spl56_3 ),
inference(superposition,[],[f374,f602]) ).
tff(f602,plain,
( ( sF35 = tb2t(sF34) )
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f1110,plain,
( spl56_86
| ~ spl56_42
| ~ spl56_66 ),
inference(avatar_split_clause,[],[f1104,f937,f798,f1107]) ).
tff(f1107,plain,
( spl56_86
<=> $less(sF45,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_86])]) ).
tff(f937,plain,
( spl56_66
<=> $less(0,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_66])]) ).
tff(f1104,plain,
( $less(sF45,sF36)
| ~ spl56_42
| ~ spl56_66 ),
inference(resolution,[],[f939,f900]) ).
tff(f939,plain,
( $less(0,sF36)
| ~ spl56_66 ),
inference(avatar_component_clause,[],[f937]) ).
tff(f1089,plain,
( spl56_85
| ~ spl56_42
| ~ spl56_61 ),
inference(avatar_split_clause,[],[f1083,f914,f798,f1086]) ).
tff(f1083,plain,
( $less(sF45,sK6)
| ~ spl56_42
| ~ spl56_61 ),
inference(resolution,[],[f916,f900]) ).
tff(f1078,plain,
( spl56_84
| ~ spl56_19
| ~ spl56_42 ),
inference(avatar_split_clause,[],[f1072,f798,f681,f1075]) ).
tff(f1075,plain,
( spl56_84
<=> $less(sF45,k) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_84])]) ).
tff(f1072,plain,
( $less(sF45,k)
| ~ spl56_19
| ~ spl56_42 ),
inference(resolution,[],[f683,f900]) ).
tff(f1056,plain,
( spl56_82
| spl56_83
| spl56_60 ),
inference(avatar_split_clause,[],[f1047,f890,f1053,f1049]) ).
tff(f1049,plain,
( spl56_82
<=> ( sK8 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_82])]) ).
tff(f1047,plain,
( $less(sK8,sF35)
| ( sK8 = sF35 )
| spl56_60 ),
inference(resolution,[],[f892,f122]) ).
tff(f1046,plain,
( spl56_70
| spl56_71
| ~ spl56_1
| spl56_56 ),
inference(avatar_split_clause,[],[f1043,f869,f590,f959,f955]) ).
tff(f1043,plain,
( $less(0,sK2)
| ( 0 = sK2 )
| ~ spl56_1
| spl56_56 ),
inference(resolution,[],[f906,f871]) ).
tff(f1038,plain,
( spl56_80
| spl56_81
| spl56_59 ),
inference(avatar_split_clause,[],[f1029,f885,f1035,f1031]) ).
tff(f1031,plain,
( spl56_80
<=> ( 0 = sF23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_80])]) ).
tff(f885,plain,
( spl56_59
<=> $less(sF23,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_59])]) ).
tff(f1029,plain,
( $less(0,sF23)
| ( 0 = sF23 )
| spl56_59 ),
inference(resolution,[],[f887,f122]) ).
tff(f887,plain,
( ~ $less(sF23,0)
| spl56_59 ),
inference(avatar_component_clause,[],[f885]) ).
tff(f1026,plain,
( spl56_78
| spl56_79
| spl56_56 ),
inference(avatar_split_clause,[],[f1017,f869,f1023,f1019]) ).
tff(f1017,plain,
( ( 0 = sK9 )
| $less(0,sK9)
| spl56_56 ),
inference(resolution,[],[f871,f122]) ).
tff(f998,plain,
( spl56_77
| ~ spl56_44
| ~ spl56_53 ),
inference(avatar_split_clause,[],[f993,f854,f807,f995]) ).
tff(f854,plain,
( spl56_53
<=> ( sF49 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_53])]) ).
tff(f993,plain,
( ( sF49 = sK7 )
| ~ spl56_44
| ~ spl56_53 ),
inference(forward_demodulation,[],[f856,f809]) ).
tff(f856,plain,
( ( sF49 = sF30 )
| ~ spl56_53 ),
inference(avatar_component_clause,[],[f854]) ).
tff(f992,plain,
( spl56_75
| spl56_76
| spl56_46 ),
inference(avatar_split_clause,[],[f983,f818,f989,f985]) ).
tff(f989,plain,
( spl56_76
<=> ( 1 = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_76])]) ).
tff(f818,plain,
( spl56_46
<=> $less(sK8,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_46])]) ).
tff(f983,plain,
( ( 1 = sK8 )
| $less(1,sK8)
| spl56_46 ),
inference(resolution,[],[f820,f122]) ).
tff(f820,plain,
( ~ $less(sK8,1)
| spl56_46 ),
inference(avatar_component_clause,[],[f818]) ).
tff(f980,plain,
( spl56_74
| ~ spl56_42 ),
inference(avatar_split_clause,[],[f974,f798,f977]) ).
tff(f974,plain,
( $less(sF45,1)
| ~ spl56_42 ),
inference(interpreted_simplification,[],[f973]) ).
tff(f973,plain,
( ~ $less(0,1)
| $less(sF45,1)
| ~ spl56_42 ),
inference(instantiation,[],[f900]) ).
tff(f971,plain,
( spl56_72
| spl56_73
| spl56_31 ),
inference(avatar_split_clause,[],[f909,f743,f968,f964]) ).
tff(f968,plain,
( spl56_73
<=> ( 1 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_73])]) ).
tff(f909,plain,
( ( 1 = sF35 )
| $less(1,sF35)
| spl56_31 ),
inference(resolution,[],[f122,f745]) ).
tff(f962,plain,
( spl56_70
| spl56_71
| spl56_16 ),
inference(avatar_split_clause,[],[f905,f665,f959,f955]) ).
tff(f905,plain,
( $less(0,sK2)
| ( 0 = sK2 )
| spl56_16 ),
inference(resolution,[],[f122,f667]) ).
tff(f953,plain,
( spl56_68
| spl56_69
| spl56_11 ),
inference(avatar_split_clause,[],[f908,f640,f950,f946]) ).
tff(f908,plain,
( $less(0,sK13)
| ( 0 = sK13 )
| spl56_11 ),
inference(resolution,[],[f122,f642]) ).
tff(f944,plain,
( spl56_66
| spl56_67
| spl56_20 ),
inference(avatar_split_clause,[],[f911,f686,f941,f937]) ).
tff(f941,plain,
( spl56_67
<=> ( 0 = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_67])]) ).
tff(f686,plain,
( spl56_20
<=> $less(sF36,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_20])]) ).
tff(f911,plain,
( ( 0 = sF36 )
| $less(0,sF36)
| spl56_20 ),
inference(resolution,[],[f122,f688]) ).
tff(f688,plain,
( ~ $less(sF36,0)
| spl56_20 ),
inference(avatar_component_clause,[],[f686]) ).
tff(f935,plain,
( spl56_19
| spl56_65
| spl56_9 ),
inference(avatar_split_clause,[],[f903,f630,f932,f681]) ).
tff(f932,plain,
( spl56_65
<=> ( 0 = k ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_65])]) ).
tff(f630,plain,
( spl56_9
<=> $less(k,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_9])]) ).
tff(f903,plain,
( ( 0 = k )
| $less(0,k)
| spl56_9 ),
inference(resolution,[],[f122,f632]) ).
tff(f632,plain,
( ~ $less(k,0)
| spl56_9 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f930,plain,
( spl56_63
| spl56_64
| spl56_7 ),
inference(avatar_split_clause,[],[f910,f620,f927,f923]) ).
tff(f927,plain,
( spl56_64
<=> ( sF36 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_64])]) ).
tff(f620,plain,
( spl56_7
<=> $less(sF36,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_7])]) ).
tff(f910,plain,
( ( sF36 = sK6 )
| $less(sK6,sF36)
| spl56_7 ),
inference(resolution,[],[f122,f622]) ).
tff(f622,plain,
( ~ $less(sF36,sK6)
| spl56_7 ),
inference(avatar_component_clause,[],[f620]) ).
tff(f921,plain,
( spl56_61
| spl56_62
| spl56_13 ),
inference(avatar_split_clause,[],[f907,f650,f918,f914]) ).
tff(f918,plain,
( spl56_62
<=> ( 0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_62])]) ).
tff(f907,plain,
( ( 0 = sK6 )
| $less(0,sK6)
| spl56_13 ),
inference(resolution,[],[f122,f652]) ).
tff(f893,plain,
~ spl56_60,
inference(avatar_split_clause,[],[f553,f890]) ).
tff(f553,plain,
~ $less(sF35,sK8),
inference(definition_folding,[],[f400,f549,f548,f537,f547]) ).
tff(f537,plain,
t2tb(sK6) = sF27,
introduced(function_definition,[]) ).
tff(f548,plain,
get(int,int,sF33,sF27) = sF34,
introduced(function_definition,[]) ).
tff(f549,plain,
sF35 = tb2t(sF34),
introduced(function_definition,[]) ).
tff(f400,plain,
~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),sK8),
inference(cnf_transformation,[],[f297]) ).
tff(f888,plain,
~ spl56_59,
inference(avatar_split_clause,[],[f533,f885]) ).
tff(f533,plain,
~ $less(sF23,0),
inference(definition_folding,[],[f412,f532,f531]) ).
tff(f412,plain,
~ $less($sum(sK2,$uminus(1)),0),
inference(cnf_transformation,[],[f297]) ).
tff(f883,plain,
~ spl56_16,
inference(avatar_split_clause,[],[f515,f665]) ).
tff(f515,plain,
~ $less(sK2,0),
inference(definition_unfolding,[],[f399,f380]) ).
tff(f399,plain,
~ $less(sK3,0),
inference(cnf_transformation,[],[f297]) ).
tff(f882,plain,
spl56_58,
inference(avatar_split_clause,[],[f538,f879]) ).
tff(f538,plain,
tuple21(sF24,int,sF26,sF27) = sF28,
introduced(function_definition,[]) ).
tff(f877,plain,
spl56_57,
inference(avatar_split_clause,[],[f403,f874]) ).
tff(f403,plain,
$less(sK6,k),
inference(cnf_transformation,[],[f297]) ).
tff(f872,plain,
~ spl56_56,
inference(avatar_split_clause,[],[f388,f869]) ).
tff(f388,plain,
~ $less(sK9,0),
inference(cnf_transformation,[],[f297]) ).
tff(f867,plain,
spl56_55,
inference(avatar_split_clause,[],[f556,f864]) ).
tff(f556,plain,
set(int,int,sF37,sF38,sF27) = sF39,
introduced(function_definition,[]) ).
tff(f862,plain,
spl56_54,
inference(avatar_split_clause,[],[f574,f859]) ).
tff(f574,plain,
tb2t3(sF51) = sF52,
introduced(function_definition,[]) ).
tff(f857,plain,
spl56_53,
inference(avatar_split_clause,[],[f571,f854]) ).
tff(f571,plain,
sF49 = sF30,
inference(definition_folding,[],[f390,f570,f569,f568,f540,f539,f538,f537,f536,f535,f534]) ).
tff(f539,plain,
tb2t3(sF28) = sF29,
introduced(function_definition,[]) ).
tff(f540,plain,
sF30 = num_of1(sF29,0,sK2),
introduced(function_definition,[]) ).
tff(f568,plain,
$uminus(sK8) = sF47,
introduced(function_definition,[]) ).
tff(f569,plain,
$sum(sK9,sF47) = sF48,
introduced(function_definition,[]) ).
tff(f570,plain,
sF49 = $sum(sF48,1),
introduced(function_definition,[]) ).
tff(f390,plain,
num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK9,$uminus(sK8)),1),
inference(cnf_transformation,[],[f297]) ).
tff(f852,plain,
spl56_52,
inference(avatar_split_clause,[],[f548,f849]) ).
tff(f849,plain,
( spl56_52
<=> ( get(int,int,sF33,sF27) = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_52])]) ).
tff(f847,plain,
spl56_51,
inference(avatar_split_clause,[],[f539,f844]) ).
tff(f842,plain,
spl56_50,
inference(avatar_split_clause,[],[f579,f839]) ).
tff(f839,plain,
( spl56_50
<=> ( $sum(sF23,1) = sF54 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_50])]) ).
tff(f837,plain,
~ spl56_16,
inference(avatar_split_clause,[],[f517,f665]) ).
tff(f517,plain,
~ $less(sK2,0),
inference(definition_unfolding,[],[f391,f380]) ).
tff(f391,plain,
~ $less(sK3,0),
inference(cnf_transformation,[],[f297]) ).
tff(f836,plain,
spl56_49,
inference(avatar_split_clause,[],[f543,f833]) ).
tff(f831,plain,
spl56_48,
inference(avatar_split_clause,[],[f582,f828]) ).
tff(f582,plain,
tb2t2(sF26) = sF55,
introduced(function_definition,[]) ).
tff(f826,plain,
spl56_47,
inference(avatar_split_clause,[],[f584,f823]) ).
tff(f584,plain,
sF22 = -1,
inference(evaluation,[],[f531]) ).
tff(f821,plain,
~ spl56_46,
inference(avatar_split_clause,[],[f387,f818]) ).
tff(f387,plain,
~ $less(sK8,1),
inference(cnf_transformation,[],[f297]) ).
tff(f816,plain,
spl56_45,
inference(avatar_split_clause,[],[f547,f813]) ).
tff(f811,plain,
~ spl56_13,
inference(avatar_split_clause,[],[f404,f650]) ).
tff(f404,plain,
~ $less(sK6,0),
inference(cnf_transformation,[],[f297]) ).
tff(f810,plain,
spl56_44,
inference(avatar_split_clause,[],[f541,f807]) ).
tff(f541,plain,
sF30 = sK7,
inference(definition_folding,[],[f411,f540,f539,f538,f537,f536,f535,f534]) ).
tff(f411,plain,
num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK7,
inference(cnf_transformation,[],[f297]) ).
tff(f805,plain,
( spl56_42
| spl56_43 ),
inference(avatar_split_clause,[],[f565,f802,f798]) ).
tff(f565,plain,
( $less(sK6,sF45)
| $less(sF45,0) ),
inference(definition_folding,[],[f395,f564,f563,f562,f561,f564,f563,f562,f561]) ).
tff(f561,plain,
t2tb1(sK11) = sF42,
introduced(function_definition,[]) ).
tff(f562,plain,
t2tb(sK13) = sF43,
introduced(function_definition,[]) ).
tff(f563,plain,
get(int,int,sF42,sF43) = sF44,
introduced(function_definition,[]) ).
tff(f564,plain,
sF45 = tb2t(sF44),
introduced(function_definition,[]) ).
tff(f395,plain,
( $less(tb2t(get(int,int,t2tb1(sK11),t2tb(sK13))),0)
| $less(sK6,tb2t(get(int,int,t2tb1(sK11),t2tb(sK13)))) ),
inference(cnf_transformation,[],[f297]) ).
tff(f796,plain,
spl56_41,
inference(avatar_split_clause,[],[f534,f793]) ).
tff(f791,plain,
spl56_40,
inference(avatar_split_clause,[],[f573,f788]) ).
tff(f573,plain,
tuple21(sF24,int,sF46,sF27) = sF51,
introduced(function_definition,[]) ).
tff(f786,plain,
spl56_39,
inference(avatar_split_clause,[],[f540,f783]) ).
tff(f781,plain,
spl56_38,
inference(avatar_split_clause,[],[f570,f778]) ).
tff(f776,plain,
spl56_37,
inference(avatar_split_clause,[],[f555,f773]) ).
tff(f555,plain,
sF38 = t2tb(sK9),
introduced(function_definition,[]) ).
tff(f771,plain,
spl56_36,
inference(avatar_split_clause,[],[f562,f768]) ).
tff(f766,plain,
spl56_35,
inference(avatar_split_clause,[],[f535,f763]) ).
tff(f761,plain,
spl56_34,
inference(avatar_split_clause,[],[f563,f758]) ).
tff(f756,plain,
spl56_33,
inference(avatar_split_clause,[],[f542,f753]) ).
tff(f751,plain,
spl56_32,
inference(avatar_split_clause,[],[f575,f748]) ).
tff(f575,plain,
sF53 = num_of(sF52,0,sK9),
introduced(function_definition,[]) ).
tff(f746,plain,
~ spl56_31,
inference(avatar_split_clause,[],[f550,f743]) ).
tff(f550,plain,
~ $less(sF35,1),
inference(definition_folding,[],[f402,f549,f548,f537,f547]) ).
tff(f402,plain,
~ $less(tb2t(get(int,int,t2tb1(sK4),t2tb(sK6))),1),
inference(cnf_transformation,[],[f297]) ).
tff(f741,plain,
spl56_30,
inference(avatar_split_clause,[],[f568,f738]) ).
tff(f736,plain,
spl56_29,
inference(avatar_split_clause,[],[f576,f733]) ).
tff(f576,plain,
sF53 = sF50,
inference(definition_folding,[],[f519,f575,f574,f573,f537,f566,f554,f534,f572,f531]) ).
tff(f572,plain,
sF50 = $sum(sK8,sF22),
introduced(function_definition,[]) ).
tff(f519,plain,
$sum(sK8,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK10)),t2tb(sK6))),0,sK9),
inference(definition_unfolding,[],[f386,f380]) ).
tff(f386,plain,
$sum(sK8,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK3,t2tb1(sK10)),t2tb(sK6))),0,sK9),
inference(cnf_transformation,[],[f297]) ).
tff(f731,plain,
spl56_28,
inference(avatar_split_clause,[],[f558,f728]) ).
tff(f558,plain,
sF40 = sK11,
inference(definition_folding,[],[f398,f557,f556,f537,f555,f554]) ).
tff(f557,plain,
sF40 = tb2t1(sF39),
introduced(function_definition,[]) ).
tff(f398,plain,
tb2t1(set(int,int,t2tb1(sK10),t2tb(sK9),t2tb(sK6))) = sK11,
inference(cnf_transformation,[],[f297]) ).
tff(f726,plain,
spl56_27,
inference(avatar_split_clause,[],[f532,f723]) ).
tff(f721,plain,
spl56_26,
inference(avatar_split_clause,[],[f551,f718]) ).
tff(f551,plain,
sF36 = $sum(k,sF22),
introduced(function_definition,[]) ).
tff(f716,plain,
spl56_25,
inference(avatar_split_clause,[],[f554,f713]) ).
tff(f711,plain,
~ spl56_16,
inference(avatar_split_clause,[],[f520,f665]) ).
tff(f520,plain,
~ $less(sK2,0),
inference(definition_unfolding,[],[f376,f380]) ).
tff(f376,plain,
~ $less(sK3,0),
inference(cnf_transformation,[],[f297]) ).
tff(f710,plain,
spl56_24,
inference(avatar_split_clause,[],[f566,f707]) ).
tff(f705,plain,
spl56_23,
inference(avatar_split_clause,[],[f572,f702]) ).
tff(f700,plain,
spl56_22,
inference(avatar_split_clause,[],[f409,f697]) ).
tff(f409,plain,
sorted_sub(sK5,0,sK7),
inference(cnf_transformation,[],[f297]) ).
tff(f695,plain,
~ spl56_9,
inference(avatar_split_clause,[],[f378,f630]) ).
tff(f378,plain,
~ $less(k,0),
inference(cnf_transformation,[],[f297]) ).
tff(f694,plain,
~ spl56_21,
inference(avatar_split_clause,[],[f455,f691]) ).
tff(f691,plain,
( spl56_21
<=> ( true = false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_21])]) ).
tff(f455,plain,
true != false,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true != false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False) ).
tff(f689,plain,
~ spl56_20,
inference(avatar_split_clause,[],[f581,f686]) ).
tff(f581,plain,
~ $less(sF36,0),
inference(definition_folding,[],[f382,f551,f531]) ).
tff(f382,plain,
~ $less($sum(k,$uminus(1)),0),
inference(cnf_transformation,[],[f297]) ).
tff(f684,plain,
spl56_19,
inference(avatar_split_clause,[],[f473,f681]) ).
tff(f473,plain,
$less(0,k),
inference(cnf_transformation,[],[f38]) ).
tff(f38,axiom,
$less(0,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_positive) ).
tff(f679,plain,
spl56_18,
inference(avatar_split_clause,[],[f560,f676]) ).
tff(f560,plain,
sF41 = sK12,
inference(definition_folding,[],[f397,f559]) ).
tff(f559,plain,
sF41 = $sum(sK9,1),
introduced(function_definition,[]) ).
tff(f397,plain,
$sum(sK9,1) = sK12,
inference(cnf_transformation,[],[f297]) ).
tff(f674,plain,
~ spl56_9,
inference(avatar_split_clause,[],[f381,f630]) ).
tff(f381,plain,
~ $less(k,0),
inference(cnf_transformation,[],[f297]) ).
tff(f673,plain,
spl56_17,
inference(avatar_split_clause,[],[f561,f670]) ).
tff(f668,plain,
~ spl56_16,
inference(avatar_split_clause,[],[f377,f665]) ).
tff(f377,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f297]) ).
tff(f663,plain,
spl56_15,
inference(avatar_split_clause,[],[f537,f660]) ).
tff(f658,plain,
spl56_14,
inference(avatar_split_clause,[],[f583,f655]) ).
tff(f655,plain,
( spl56_14
<=> k_values(sF55) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_14])]) ).
tff(f583,plain,
k_values(sF55),
inference(definition_folding,[],[f379,f582,f536,f535]) ).
tff(f379,plain,
k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1)))),
inference(cnf_transformation,[],[f297]) ).
tff(f653,plain,
~ spl56_13,
inference(avatar_split_clause,[],[f407,f650]) ).
tff(f407,plain,
~ $less(sK6,0),
inference(cnf_transformation,[],[f297]) ).
tff(f648,plain,
spl56_12,
inference(avatar_split_clause,[],[f564,f645]) ).
tff(f643,plain,
~ spl56_11,
inference(avatar_split_clause,[],[f396,f640]) ).
tff(f396,plain,
~ $less(sK13,0),
inference(cnf_transformation,[],[f297]) ).
tff(f638,plain,
spl56_10,
inference(avatar_split_clause,[],[f557,f635]) ).
tff(f633,plain,
~ spl56_9,
inference(avatar_split_clause,[],[f408,f630]) ).
tff(f408,plain,
~ $less(k,0),
inference(cnf_transformation,[],[f297]) ).
tff(f628,plain,
spl56_8,
inference(avatar_split_clause,[],[f559,f625]) ).
tff(f623,plain,
~ spl56_7,
inference(avatar_split_clause,[],[f552,f620]) ).
tff(f552,plain,
~ $less(sF36,sK6),
inference(definition_folding,[],[f401,f551,f531]) ).
tff(f401,plain,
~ $less($sum(k,$uminus(1)),sK6),
inference(cnf_transformation,[],[f297]) ).
tff(f618,plain,
spl56_6,
inference(avatar_split_clause,[],[f394,f615]) ).
tff(f394,plain,
$less(sK13,sK12),
inference(cnf_transformation,[],[f297]) ).
tff(f613,plain,
spl56_5,
inference(avatar_split_clause,[],[f392,f610]) ).
tff(f610,plain,
( spl56_5
<=> sorted_sub(sK10,0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_5])]) ).
tff(f392,plain,
sorted_sub(sK10,0,sK9),
inference(cnf_transformation,[],[f297]) ).
tff(f608,plain,
spl56_4,
inference(avatar_split_clause,[],[f536,f605]) ).
tff(f603,plain,
spl56_3,
inference(avatar_split_clause,[],[f549,f600]) ).
tff(f598,plain,
spl56_2,
inference(avatar_split_clause,[],[f569,f595]) ).
tff(f593,plain,
spl56_1,
inference(avatar_split_clause,[],[f518,f590]) ).
tff(f518,plain,
$less(sK9,sK2),
inference(definition_unfolding,[],[f389,f380]) ).
tff(f389,plain,
$less(sK9,sK3),
inference(cnf_transformation,[],[f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWW583=2 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 20:54:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (1541)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.46 % (1541)Instruction limit reached!
% 0.18/0.46 % (1541)------------------------------
% 0.18/0.46 % (1541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (1541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (1541)Termination reason: Unknown
% 0.18/0.46 % (1541)Termination phase: Property scanning
% 0.18/0.46
% 0.18/0.46 % (1541)Memory used [KB]: 1023
% 0.18/0.46 % (1541)Time elapsed: 0.003 s
% 0.18/0.46 % (1541)Instructions burned: 2 (million)
% 0.18/0.46 % (1541)------------------------------
% 0.18/0.46 % (1541)------------------------------
% 0.18/0.46 % (1549)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.47 % (1549)Instruction limit reached!
% 0.18/0.47 % (1549)------------------------------
% 0.18/0.47 % (1549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (1549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (1549)Termination reason: Unknown
% 0.18/0.47 % (1549)Termination phase: Property scanning
% 0.18/0.47
% 0.18/0.47 % (1549)Memory used [KB]: 1407
% 0.18/0.47 % (1549)Time elapsed: 0.013 s
% 0.18/0.47 % (1549)Instructions burned: 15 (million)
% 0.18/0.47 % (1549)------------------------------
% 0.18/0.47 % (1549)------------------------------
% 0.18/0.50 % (1532)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (1534)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.51 % (1533)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (1543)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (1531)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52 % (1554)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.52 % (1553)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.18/0.52 % (1529)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.52 % (1547)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (1531)Instruction limit reached!
% 0.18/0.52 % (1531)------------------------------
% 0.18/0.52 % (1531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (1531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (1531)Termination reason: Unknown
% 0.18/0.52 % (1531)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (1531)Memory used [KB]: 1279
% 0.18/0.52 % (1531)Time elapsed: 0.005 s
% 0.18/0.52 % (1531)Instructions burned: 9 (million)
% 0.18/0.52 % (1531)------------------------------
% 0.18/0.52 % (1531)------------------------------
% 0.18/0.52 % (1532)Instruction limit reached!
% 0.18/0.52 % (1532)------------------------------
% 0.18/0.52 % (1532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (1532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (1532)Termination reason: Unknown
% 0.18/0.52 % (1532)Termination phase: shuffling
% 0.18/0.52
% 0.18/0.52 % (1532)Memory used [KB]: 1023
% 0.18/0.52 % (1532)Time elapsed: 0.003 s
% 0.18/0.52 % (1532)Instructions burned: 2 (million)
% 0.18/0.52 % (1532)------------------------------
% 0.18/0.52 % (1532)------------------------------
% 0.18/0.52 % (1544)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (1544)Instruction limit reached!
% 0.18/0.52 % (1544)------------------------------
% 0.18/0.52 % (1544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (1544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (1544)Termination reason: Unknown
% 0.18/0.52 % (1544)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (1544)Memory used [KB]: 1023
% 0.18/0.52 % (1544)Time elapsed: 0.002 s
% 0.18/0.52 % (1544)Instructions burned: 3 (million)
% 0.18/0.52 % (1544)------------------------------
% 0.18/0.52 % (1544)------------------------------
% 0.18/0.52 % (1557)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.52 % (1530)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.52 % (1545)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (1556)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.52 % (1558)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.53 % (1537)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.18/0.53 % (1534)Instruction limit reached!
% 0.18/0.53 % (1534)------------------------------
% 0.18/0.53 % (1534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1545)Instruction limit reached!
% 0.18/0.53 % (1545)------------------------------
% 0.18/0.53 % (1545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (1545)Termination reason: Unknown
% 0.18/0.53 % (1545)Termination phase: Property scanning
% 0.18/0.53
% 0.18/0.53 % (1545)Memory used [KB]: 1023
% 0.18/0.53 % (1545)Time elapsed: 0.003 s
% 0.18/0.53 % (1545)Instructions burned: 2 (million)
% 0.18/0.53 % (1545)------------------------------
% 0.18/0.53 % (1545)------------------------------
% 0.18/0.53 % (1548)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (1550)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53 % (1548)Instruction limit reached!
% 0.18/0.53 % (1548)------------------------------
% 0.18/0.53 % (1548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1535)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.18/0.53 % (1551)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.53 % (1546)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.53 % (1539)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.53 % (1540)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.53 % (1552)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (1538)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (1542)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53 % (1536)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.18/0.53 % (1555)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.54 % (1548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (1548)Termination reason: Unknown
% 0.18/0.54 % (1548)Termination phase: Property scanning
% 0.18/0.54
% 0.18/0.54 % (1548)Memory used [KB]: 1023
% 0.18/0.54 % (1548)Time elapsed: 0.002 s
% 0.18/0.54 % (1548)Instructions burned: 2 (million)
% 0.18/0.54 % (1548)------------------------------
% 0.18/0.54 % (1548)------------------------------
% 0.18/0.54 % (1540)Instruction limit reached!
% 0.18/0.54 % (1540)------------------------------
% 0.18/0.54 % (1540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (1538)Instruction limit reached!
% 0.18/0.54 % (1538)------------------------------
% 0.18/0.54 % (1538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (1538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (1538)Termination reason: Unknown
% 0.18/0.54 % (1538)Termination phase: Including theory axioms
% 0.18/0.54
% 0.18/0.54 % (1538)Memory used [KB]: 1023
% 0.18/0.54 % (1538)Time elapsed: 0.004 s
% 0.18/0.54 % (1538)Instructions burned: 4 (million)
% 0.18/0.54 % (1538)------------------------------
% 0.18/0.54 % (1538)------------------------------
% 0.18/0.54 % (1534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (1534)Termination reason: Unknown
% 0.18/0.54 % (1534)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (1534)Memory used [KB]: 5884
% 0.18/0.54 % (1534)Time elapsed: 0.009 s
% 0.18/0.54 % (1534)Instructions burned: 17 (million)
% 0.18/0.54 % (1534)------------------------------
% 0.18/0.54 % (1534)------------------------------
% 0.18/0.55 % (1540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (1540)Termination reason: Unknown
% 0.18/0.55 % (1540)Termination phase: Property scanning
% 0.18/0.55
% 0.18/0.55 % (1547)Instruction limit reached!
% 0.18/0.55 % (1547)------------------------------
% 0.18/0.55 % (1547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (1540)Memory used [KB]: 1023
% 0.18/0.55 % (1540)Time elapsed: 0.004 s
% 0.18/0.55 % (1540)Instructions burned: 6 (million)
% 0.18/0.55 % (1540)------------------------------
% 0.18/0.55 % (1540)------------------------------
% 0.18/0.55 % (1557)Instruction limit reached!
% 0.18/0.55 % (1557)------------------------------
% 0.18/0.55 % (1557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (1556)Instruction limit reached!
% 0.18/0.55 % (1556)------------------------------
% 0.18/0.55 % (1556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (1547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (1547)Termination reason: Unknown
% 0.18/0.56 % (1547)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (1547)Memory used [KB]: 5884
% 0.18/0.56 % (1547)Time elapsed: 0.008 s
% 0.18/0.56 % (1547)Instructions burned: 15 (million)
% 0.18/0.56 % (1547)------------------------------
% 0.18/0.56 % (1547)------------------------------
% 0.18/0.56 % (1550)Instruction limit reached!
% 0.18/0.56 % (1550)------------------------------
% 0.18/0.56 % (1550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (1537)Instruction limit reached!
% 0.18/0.56 % (1537)------------------------------
% 0.18/0.56 % (1537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (1537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (1537)Termination reason: Unknown
% 0.18/0.56 % (1537)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (1537)Memory used [KB]: 6140
% 0.18/0.56 % (1537)Time elapsed: 0.168 s
% 0.18/0.56 % (1537)Instructions burned: 28 (million)
% 0.18/0.56 % (1537)------------------------------
% 0.18/0.56 % (1537)------------------------------
% 0.18/0.56 % (1557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (1557)Termination reason: Unknown
% 0.18/0.56 % (1557)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (1557)Memory used [KB]: 6012
% 0.18/0.56 % (1557)Time elapsed: 0.166 s
% 0.18/0.56 % (1557)Instructions burned: 21 (million)
% 0.18/0.56 % (1557)------------------------------
% 0.18/0.56 % (1557)------------------------------
% 0.18/0.57 % (1559)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.18/0.57 % (1542)Instruction limit reached!
% 0.18/0.57 % (1542)------------------------------
% 0.18/0.57 % (1542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (1542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (1542)Termination reason: Unknown
% 0.18/0.57 % (1542)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (1542)Memory used [KB]: 6012
% 0.18/0.57 % (1542)Time elapsed: 0.186 s
% 0.18/0.57 % (1542)Instructions burned: 23 (million)
% 0.18/0.57 % (1542)------------------------------
% 0.18/0.57 % (1542)------------------------------
% 0.18/0.57 % (1550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (1550)Termination reason: Unknown
% 0.18/0.57 % (1550)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (1550)Memory used [KB]: 6012
% 0.18/0.57 % (1550)Time elapsed: 0.169 s
% 0.18/0.57 % (1550)Instructions burned: 21 (million)
% 0.18/0.57 % (1550)------------------------------
% 0.18/0.57 % (1550)------------------------------
% 0.18/0.57 % (1539)Instruction limit reached!
% 0.18/0.57 % (1539)------------------------------
% 0.18/0.57 % (1539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (1556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (1556)Termination reason: Unknown
% 0.18/0.57 % (1556)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (1556)Memory used [KB]: 6012
% 0.18/0.57 % (1556)Time elapsed: 0.148 s
% 0.18/0.57 % (1556)Instructions burned: 22 (million)
% 0.18/0.57 % (1556)------------------------------
% 0.18/0.57 % (1556)------------------------------
% 0.18/0.57 % (1533)Instruction limit reached!
% 0.18/0.57 % (1533)------------------------------
% 0.18/0.57 % (1533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1558)Instruction limit reached!
% 0.18/0.58 % (1558)------------------------------
% 0.18/0.58 % (1558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (1533)Termination reason: Unknown
% 0.18/0.58 % (1533)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (1533)Memory used [KB]: 6268
% 0.18/0.58 % (1533)Time elapsed: 0.168 s
% 0.18/0.58 % (1533)Instructions burned: 38 (million)
% 0.18/0.58 % (1533)------------------------------
% 0.18/0.58 % (1533)------------------------------
% 0.18/0.58 % (1555)Instruction limit reached!
% 0.18/0.58 % (1555)------------------------------
% 0.18/0.58 % (1555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1559)Instruction limit reached!
% 0.18/0.58 % (1559)------------------------------
% 0.18/0.58 % (1559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (1559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (1559)Termination reason: Unknown
% 0.18/0.58 % (1559)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (1559)Memory used [KB]: 5884
% 0.18/0.58 % (1559)Time elapsed: 0.015 s
% 0.18/0.58 % (1559)Instructions burned: 15 (million)
% 0.18/0.58 % (1559)------------------------------
% 0.18/0.58 % (1559)------------------------------
% 1.91/0.59 % (1530)Instruction limit reached!
% 1.91/0.59 % (1530)------------------------------
% 1.91/0.59 % (1530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (1530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1530)Termination reason: Unknown
% 1.91/0.59 % (1530)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1530)Memory used [KB]: 6268
% 1.91/0.59 % (1530)Time elapsed: 0.167 s
% 1.91/0.59 % (1530)Instructions burned: 34 (million)
% 1.91/0.59 % (1530)------------------------------
% 1.91/0.59 % (1530)------------------------------
% 1.91/0.59 % (1560)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.91/0.59 % (1553)Instruction limit reached!
% 1.91/0.59 % (1553)------------------------------
% 1.91/0.59 % (1553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (1553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1553)Termination reason: Unknown
% 1.91/0.59 % (1553)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1553)Memory used [KB]: 1791
% 1.91/0.59 % (1553)Time elapsed: 0.185 s
% 1.91/0.59 % (1553)Instructions burned: 47 (million)
% 1.91/0.59 % (1553)------------------------------
% 1.91/0.59 % (1553)------------------------------
% 1.91/0.59 % (1539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1539)Termination reason: Unknown
% 1.91/0.59 % (1539)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1539)Memory used [KB]: 6268
% 1.91/0.59 % (1539)Time elapsed: 0.171 s
% 1.91/0.59 % (1539)Instructions burned: 37 (million)
% 1.91/0.59 % (1539)------------------------------
% 1.91/0.59 % (1539)------------------------------
% 1.91/0.59 % (1551)Instruction limit reached!
% 1.91/0.59 % (1551)------------------------------
% 1.91/0.59 % (1551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (1551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1551)Termination reason: Unknown
% 1.91/0.59 % (1551)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1551)Memory used [KB]: 1791
% 1.91/0.59 % (1551)Time elapsed: 0.178 s
% 1.91/0.59 % (1551)Instructions burned: 46 (million)
% 1.91/0.59 % (1551)------------------------------
% 1.91/0.59 % (1551)------------------------------
% 1.91/0.59 % (1555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1555)Termination reason: Unknown
% 1.91/0.59 % (1555)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1555)Memory used [KB]: 6524
% 1.91/0.59 % (1555)Time elapsed: 0.183 s
% 1.91/0.59 % (1535)Instruction limit reached!
% 1.91/0.59 % (1535)------------------------------
% 1.91/0.59 % (1535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (1555)Instructions burned: 44 (million)
% 1.91/0.59 % (1555)------------------------------
% 1.91/0.59 % (1555)------------------------------
% 1.91/0.59 % (1535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1535)Termination reason: Unknown
% 1.91/0.59 % (1535)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1535)Memory used [KB]: 6268
% 1.91/0.59 % (1535)Time elapsed: 0.164 s
% 1.91/0.59 % (1535)Instructions burned: 32 (million)
% 1.91/0.59 % (1535)------------------------------
% 1.91/0.59 % (1535)------------------------------
% 1.91/0.59 % (1554)Instruction limit reached!
% 1.91/0.59 % (1554)------------------------------
% 1.91/0.59 % (1554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (1554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (1554)Termination reason: Unknown
% 1.91/0.59 % (1554)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (1554)Memory used [KB]: 6780
% 1.91/0.59 % (1554)Time elapsed: 0.193 s
% 1.91/0.59 % (1554)Instructions burned: 44 (million)
% 1.91/0.59 % (1554)------------------------------
% 1.91/0.59 % (1554)------------------------------
% 1.91/0.60 % (1558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (1558)Termination reason: Unknown
% 1.91/0.60 % (1558)Termination phase: Saturation
% 1.91/0.60 % (1543)Instruction limit reached!
% 1.91/0.60 % (1543)------------------------------
% 1.91/0.60 % (1543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (1543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (1543)Termination reason: Unknown
% 1.91/0.60 % (1543)Termination phase: Saturation
% 1.91/0.60
% 1.91/0.60 % (1543)Memory used [KB]: 6908
% 1.91/0.60 % (1543)Time elapsed: 0.171 s
% 1.91/0.60 % (1543)Instructions burned: 50 (million)
% 1.91/0.60 % (1543)------------------------------
% 1.91/0.60 % (1543)------------------------------
% 1.91/0.60
% 1.91/0.60 % (1558)Memory used [KB]: 6524
% 1.91/0.60 % (1558)Time elapsed: 0.186 s
% 1.91/0.60 % (1558)Instructions burned: 41 (million)
% 1.91/0.60 % (1558)------------------------------
% 1.91/0.60 % (1558)------------------------------
% 1.91/0.60 % (1546)Instruction limit reached!
% 1.91/0.60 % (1546)------------------------------
% 1.91/0.60 % (1546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (1546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (1546)Termination reason: Unknown
% 1.91/0.60 % (1546)Termination phase: Saturation
% 1.91/0.60
% 1.91/0.60 % (1546)Memory used [KB]: 6268
% 1.91/0.60 % (1546)Time elapsed: 0.199 s
% 1.91/0.60 % (1546)Instructions burned: 49 (million)
% 1.91/0.60 % (1546)------------------------------
% 1.91/0.60 % (1546)------------------------------
% 2.14/0.60 % (1536)Instruction limit reached!
% 2.14/0.60 % (1536)------------------------------
% 2.14/0.60 % (1536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.60 % (1536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.60 % (1536)Termination reason: Unknown
% 2.14/0.60 % (1536)Termination phase: Saturation
% 2.14/0.60
% 2.14/0.60 % (1536)Memory used [KB]: 6396
% 2.14/0.60 % (1536)Time elapsed: 0.195 s
% 2.14/0.60 % (1536)Instructions burned: 38 (million)
% 2.14/0.60 % (1536)------------------------------
% 2.14/0.60 % (1536)------------------------------
% 2.14/0.61 % (1552)Instruction limit reached!
% 2.14/0.61 % (1552)------------------------------
% 2.14/0.61 % (1552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.61 % (1552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.61 % (1552)Termination reason: Unknown
% 2.14/0.61 % (1552)Termination phase: Saturation
% 2.14/0.61
% 2.14/0.61 % (1552)Memory used [KB]: 6396
% 2.14/0.61 % (1552)Time elapsed: 0.213 s
% 2.14/0.61 % (1552)Instructions burned: 51 (million)
% 2.14/0.61 % (1552)------------------------------
% 2.14/0.61 % (1552)------------------------------
% 2.22/0.65 % (1562)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.22/0.65 % (1561)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.22/0.66 % (1565)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.22/0.66 % (1560)Instruction limit reached!
% 2.22/0.66 % (1560)------------------------------
% 2.22/0.66 % (1560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (1566)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.22/0.66 % (1560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (1560)Termination reason: Unknown
% 2.22/0.66 % (1560)Termination phase: Saturation
% 2.22/0.66
% 2.22/0.66 % (1560)Memory used [KB]: 6524
% 2.22/0.66 % (1560)Time elapsed: 0.076 s
% 2.22/0.66 % (1560)Instructions burned: 47 (million)
% 2.22/0.66 % (1560)------------------------------
% 2.22/0.66 % (1560)------------------------------
% 2.22/0.66 % (1568)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.22/0.67 % (1564)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.22/0.67 % (1567)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.22/0.68 % (1563)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.22/0.68 % (1571)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.22/0.68 % (1569)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.22/0.70 % (1561)Instruction limit reached!
% 2.22/0.70 % (1561)------------------------------
% 2.22/0.70 % (1561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70 % (1561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.70 % (1561)Termination reason: Unknown
% 2.22/0.70 % (1561)Termination phase: Saturation
% 2.22/0.70
% 2.22/0.70 % (1561)Memory used [KB]: 6012
% 2.22/0.70 % (1561)Time elapsed: 0.128 s
% 2.22/0.70 % (1561)Instructions burned: 25 (million)
% 2.22/0.70 % (1561)------------------------------
% 2.22/0.70 % (1561)------------------------------
% 2.22/0.70 % (1575)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.22/0.70 % (1574)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.22/0.71 % (1573)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.22/0.71 % (1579)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.22/0.71 % (1572)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.22/0.71 % (1570)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.56/0.72 % (1578)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.56/0.72 % (1576)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.56/0.72 % (1580)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.56/0.72 % (1582)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.56/0.72 % (1577)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.56/0.73 % (1584)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.56/0.73 % (1583)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.56/0.73 % (1581)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.56/0.73 % (1587)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.56/0.73 % (1585)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.56/0.74 % (1586)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.56/0.75 % (1588)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/360Mi)
% 2.56/0.76 % (1565)Instruction limit reached!
% 2.56/0.76 % (1565)------------------------------
% 2.56/0.76 % (1565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.76 % (1565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.76 % (1565)Termination reason: Unknown
% 2.56/0.76 % (1565)Termination phase: Saturation
% 2.56/0.76
% 2.56/0.76 % (1565)Memory used [KB]: 7036
% 2.56/0.76 % (1565)Time elapsed: 0.200 s
% 2.56/0.76 % (1565)Instructions burned: 58 (million)
% 2.56/0.76 % (1565)------------------------------
% 2.56/0.76 % (1565)------------------------------
% 2.80/0.81 % (1564)Instruction limit reached!
% 2.80/0.81 % (1564)------------------------------
% 2.80/0.81 % (1564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.81 % (1564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.81 % (1564)Termination reason: Unknown
% 2.80/0.81 % (1564)Termination phase: Saturation
% 2.80/0.81
% 2.80/0.81 % (1564)Memory used [KB]: 6908
% 2.80/0.81 % (1564)Time elapsed: 0.239 s
% 2.80/0.81 % (1564)Instructions burned: 76 (million)
% 2.80/0.81 % (1564)------------------------------
% 2.80/0.81 % (1564)------------------------------
% 2.80/0.82 % (1589)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.80/0.84 % (1566)Instruction limit reached!
% 2.80/0.84 % (1566)------------------------------
% 2.80/0.84 % (1566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.84 % (1566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.84 % (1566)Termination reason: Unknown
% 2.80/0.84 % (1566)Termination phase: Saturation
% 2.80/0.84
% 2.80/0.84 % (1566)Memory used [KB]: 6140
% 2.80/0.84 % (1566)Time elapsed: 0.250 s
% 2.80/0.84 % (1566)Instructions burned: 97 (million)
% 2.80/0.84 % (1566)------------------------------
% 2.80/0.84 % (1566)------------------------------
% 2.80/0.85 % (1590)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/256Mi)
% 2.80/0.85 % (1567)Instruction limit reached!
% 2.80/0.85 % (1567)------------------------------
% 2.80/0.85 % (1567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.85 % (1567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.85 % (1567)Termination reason: Unknown
% 2.80/0.85 % (1567)Termination phase: Saturation
% 2.80/0.85
% 2.80/0.85 % (1567)Memory used [KB]: 6268
% 2.80/0.85 % (1567)Time elapsed: 0.049 s
% 2.80/0.85 % (1567)Instructions burned: 111 (million)
% 2.80/0.85 % (1567)------------------------------
% 2.80/0.85 % (1567)------------------------------
% 2.80/0.86 % (1563)Instruction limit reached!
% 2.80/0.86 % (1563)------------------------------
% 2.80/0.86 % (1563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.86 % (1563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.86 % (1563)Termination reason: Unknown
% 2.80/0.86 % (1563)Termination phase: Saturation
% 2.80/0.86
% 2.80/0.86 % (1563)Memory used [KB]: 7547
% 2.80/0.86 % (1563)Time elapsed: 0.313 s
% 2.80/0.86 % (1563)Instructions burned: 101 (million)
% 2.80/0.86 % (1563)------------------------------
% 2.80/0.86 % (1563)------------------------------
% 3.09/0.88 % (1577)Instruction limit reached!
% 3.09/0.88 % (1577)------------------------------
% 3.09/0.88 % (1577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.88 % (1577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.88 % (1577)Termination reason: Unknown
% 3.09/0.88 % (1577)Termination phase: Saturation
% 3.09/0.88
% 3.09/0.88 % (1577)Memory used [KB]: 6652
% 3.09/0.88 % (1577)Time elapsed: 0.276 s
% 3.09/0.88 % (1577)Instructions burned: 82 (million)
% 3.09/0.88 % (1577)------------------------------
% 3.09/0.88 % (1577)------------------------------
% 3.09/0.90 % (1591)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 3.23/0.92 % (1574)Instruction limit reached!
% 3.23/0.92 % (1574)------------------------------
% 3.23/0.92 % (1574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.23/0.92 % (1574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.23/0.92 % (1574)Termination reason: Unknown
% 3.23/0.92 % (1574)Termination phase: Saturation
% 3.23/0.92
% 3.23/0.92 % (1574)Memory used [KB]: 1791
% 3.23/0.92 % (1574)Time elapsed: 0.320 s
% 3.23/0.92 % (1574)Instructions burned: 161 (million)
% 3.23/0.92 % (1574)------------------------------
% 3.23/0.92 % (1574)------------------------------
% 3.29/0.92 % (1562)Instruction limit reached!
% 3.29/0.92 % (1562)------------------------------
% 3.29/0.92 % (1562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.92 % (1562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.92 % (1562)Termination reason: Unknown
% 3.29/0.92 % (1562)Termination phase: Saturation
% 3.29/0.92
% 3.29/0.92 % (1562)Memory used [KB]: 7164
% 3.29/0.92 % (1562)Time elapsed: 0.337 s
% 3.29/0.92 % (1562)Instructions burned: 149 (million)
% 3.29/0.92 % (1562)------------------------------
% 3.29/0.92 % (1562)------------------------------
% 3.29/0.92 % (1573)Instruction limit reached!
% 3.29/0.92 % (1573)------------------------------
% 3.29/0.92 % (1573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.92 % (1573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.92 % (1573)Termination reason: Unknown
% 3.29/0.92 % (1573)Termination phase: Saturation
% 3.29/0.92
% 3.29/0.92 % (1573)Memory used [KB]: 2046
% 3.29/0.92 % (1573)Time elapsed: 0.316 s
% 3.29/0.92 % (1573)Instructions burned: 151 (million)
% 3.29/0.92 % (1573)------------------------------
% 3.29/0.92 % (1573)------------------------------
% 3.29/0.93 % (1578)Instruction limit reached!
% 3.29/0.93 % (1578)------------------------------
% 3.29/0.93 % (1578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.93 % (1578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.93 % (1578)Termination reason: Unknown
% 3.29/0.93 % (1578)Termination phase: Saturation
% 3.29/0.93
% 3.29/0.93 % (1578)Memory used [KB]: 1791
% 3.29/0.93 % (1578)Time elapsed: 0.306 s
% 3.29/0.93 % (1578)Instructions burned: 146 (million)
% 3.29/0.93 % (1578)------------------------------
% 3.29/0.93 % (1578)------------------------------
% 3.29/0.94 % (1592)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 3.29/0.97 % (1593)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 3.29/0.97 % (1587)Instruction limit reached!
% 3.29/0.97 % (1587)------------------------------
% 3.29/0.97 % (1587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.98 % (1587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.98 % (1587)Termination reason: Unknown
% 3.29/0.98 % (1587)Termination phase: Saturation
% 3.29/0.98
% 3.29/0.98 % (1587)Memory used [KB]: 2046
% 3.29/0.98 % (1587)Time elapsed: 0.288 s
% 3.29/0.98 % (1587)Instructions burned: 230 (million)
% 3.29/0.98 % (1587)------------------------------
% 3.29/0.98 % (1587)------------------------------
% 3.29/0.99 % (1594)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.29/1.00 % (1595)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.29/1.01 % (1570)Instruction limit reached!
% 3.29/1.01 % (1570)------------------------------
% 3.29/1.01 % (1570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/1.01 % (1570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/1.01 % (1570)Termination reason: Unknown
% 3.29/1.01 % (1570)Termination phase: Saturation
% 3.29/1.01
% 3.29/1.01 % (1570)Memory used [KB]: 2046
% 3.29/1.01 % (1570)Time elapsed: 0.419 s
% 3.29/1.01 % (1570)Instructions burned: 223 (million)
% 3.29/1.01 % (1570)------------------------------
% 3.29/1.01 % (1570)------------------------------
% 3.29/1.01 % (1596)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.72/1.04 % (1597)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.72/1.06 % (1598)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.72/1.07 % (1600)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3528Mi)
% 3.72/1.08 % (1599)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 3.72/1.09 % (1583)Instruction limit reached!
% 3.72/1.09 % (1583)------------------------------
% 3.72/1.09 % (1583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/1.09 % (1583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/1.09 % (1583)Termination reason: Unknown
% 3.72/1.09 % (1583)Termination phase: Saturation
% 3.72/1.09
% 3.72/1.09 % (1583)Memory used [KB]: 8827
% 3.72/1.09 % (1583)Time elapsed: 0.441 s
% 3.72/1.09 % (1583)Instructions burned: 215 (million)
% 3.72/1.09 % (1583)------------------------------
% 3.72/1.09 % (1583)------------------------------
% 3.94/1.10 % (1579)Instruction limit reached!
% 3.94/1.10 % (1579)------------------------------
% 3.94/1.10 % (1579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.10 % (1579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.10 % (1579)Termination reason: Unknown
% 3.94/1.10 % (1579)Termination phase: Saturation
% 3.94/1.10
% 3.94/1.10 % (1579)Memory used [KB]: 8955
% 3.94/1.10 % (1579)Time elapsed: 0.457 s
% 3.94/1.10 % (1579)Instructions burned: 211 (million)
% 3.94/1.10 % (1579)------------------------------
% 3.94/1.10 % (1579)------------------------------
% 3.94/1.10 % (1601)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2304Mi)
% 3.94/1.14 % (1602)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3780Mi)
% 3.94/1.17 % (1582)Instruction limit reached!
% 3.94/1.17 % (1582)------------------------------
% 3.94/1.17 % (1582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.17 % (1582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.17 % (1582)Termination reason: Unknown
% 3.94/1.17 % (1582)Termination phase: Saturation
% 3.94/1.17
% 3.94/1.17 % (1582)Memory used [KB]: 2430
% 3.94/1.17 % (1582)Time elapsed: 0.555 s
% 3.94/1.17 % (1582)Instructions burned: 295 (million)
% 3.94/1.17 % (1582)------------------------------
% 3.94/1.17 % (1582)------------------------------
% 6.65/1.19 % (1580)Instruction limit reached!
% 6.65/1.19 % (1580)------------------------------
% 6.65/1.19 % (1580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.19 % (1580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.19 % (1580)Termination reason: Unknown
% 6.65/1.19 % (1580)Termination phase: Saturation
% 6.65/1.19
% 6.65/1.19 % (1580)Memory used [KB]: 8059
% 6.65/1.19 % (1580)Time elapsed: 0.559 s
% 6.65/1.19 % (1580)Instructions burned: 274 (million)
% 6.65/1.19 % (1580)------------------------------
% 6.65/1.19 % (1580)------------------------------
% 6.65/1.20 % (1598)Instruction limit reached!
% 6.65/1.20 % (1598)------------------------------
% 6.65/1.20 % (1598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.20 % (1598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.20 % (1598)Termination reason: Unknown
% 6.65/1.20 % (1598)Termination phase: Saturation
% 6.65/1.20
% 6.65/1.20 % (1598)Memory used [KB]: 1535
% 6.65/1.20 % (1598)Time elapsed: 0.044 s
% 6.65/1.20 % (1598)Instructions burned: 117 (million)
% 6.65/1.20 % (1598)------------------------------
% 6.65/1.20 % (1598)------------------------------
% 6.65/1.21 % (1575)Instruction limit reached!
% 6.65/1.21 % (1575)------------------------------
% 6.65/1.21 % (1575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.21 % (1575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.21 % (1575)Termination reason: Unknown
% 6.65/1.21 % (1575)Termination phase: Saturation
% 6.65/1.21
% 6.65/1.21 % (1575)Memory used [KB]: 3198
% 6.65/1.21 % (1575)Time elapsed: 0.588 s
% 6.65/1.21 % (1575)Instructions burned: 371 (million)
% 6.65/1.21 % (1575)------------------------------
% 6.65/1.21 % (1575)------------------------------
% 6.88/1.22 % (1603)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 6.96/1.24 % (1604)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 6.96/1.24 % (1588)Instruction limit reached!
% 6.96/1.24 % (1588)------------------------------
% 6.96/1.24 % (1588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.26 % (1588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.26 % (1588)Termination reason: Unknown
% 6.96/1.26 % (1588)Termination phase: Saturation
% 6.96/1.26
% 6.96/1.26 % (1588)Memory used [KB]: 2686
% 6.96/1.26 % (1588)Time elapsed: 0.586 s
% 6.96/1.26 % (1588)Instructions burned: 361 (million)
% 6.96/1.26 % (1588)------------------------------
% 6.96/1.26 % (1588)------------------------------
% 6.96/1.26 % (1584)Instruction limit reached!
% 6.96/1.26 % (1584)------------------------------
% 6.96/1.26 % (1584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.26 % (1584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.26 % (1584)Termination reason: Unknown
% 6.96/1.26 % (1584)Termination phase: Saturation
% 6.96/1.26
% 6.96/1.26 % (1584)Memory used [KB]: 3454
% 6.96/1.26 % (1584)Time elapsed: 0.625 s
% 6.96/1.26 % (1584)Instructions burned: 374 (million)
% 6.96/1.26 % (1584)------------------------------
% 6.96/1.26 % (1584)------------------------------
% 6.96/1.26 % (1571)Instruction limit reached!
% 6.96/1.26 % (1571)------------------------------
% 6.96/1.26 % (1571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.26 % (1571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.26 % (1571)Termination reason: Unknown
% 6.96/1.26 % (1571)Termination phase: Saturation
% 6.96/1.26
% 6.96/1.26 % (1571)Memory used [KB]: 2302
% 6.96/1.26 % (1571)Time elapsed: 0.661 s
% 6.96/1.26 % (1571)Instructions burned: 343 (million)
% 6.96/1.26 % (1571)------------------------------
% 6.96/1.26 % (1571)------------------------------
% 6.96/1.27 % (1590)Refutation not found, non-redundant clauses discarded% (1590)------------------------------
% 6.96/1.27 % (1590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.28 % (1590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.28 % (1590)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.96/1.28
% 6.96/1.28 % (1590)Memory used [KB]: 3709
% 6.96/1.28 % (1590)Time elapsed: 0.536 s
% 6.96/1.28 % (1590)Instructions burned: 254 (million)
% 6.96/1.28 % (1590)------------------------------
% 6.96/1.28 % (1590)------------------------------
% 6.96/1.29 % (1576)Instruction limit reached!
% 6.96/1.29 % (1576)------------------------------
% 6.96/1.29 % (1576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.29 % (1576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.29 % (1576)Termination reason: Unknown
% 6.96/1.29 % (1576)Termination phase: Saturation
% 6.96/1.29
% 6.96/1.29 % (1576)Memory used [KB]: 4733
% 6.96/1.29 % (1576)Time elapsed: 0.627 s
% 6.96/1.29 % (1576)Instructions burned: 493 (million)
% 6.96/1.29 % (1576)------------------------------
% 6.96/1.29 % (1576)------------------------------
% 7.56/1.32 % (1606)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1302Mi)
% 7.56/1.32 % (1581)Instruction limit reached!
% 7.56/1.32 % (1581)------------------------------
% 7.56/1.32 % (1581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.32 % (1581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.32 % (1581)Termination reason: Unknown
% 7.56/1.32 % (1581)Termination phase: Saturation
% 7.56/1.32
% 7.56/1.32 % (1581)Memory used [KB]: 9338
% 7.56/1.32 % (1581)Time elapsed: 0.716 s
% 7.56/1.32 % (1581)Instructions burned: 330 (million)
% 7.56/1.32 % (1581)------------------------------
% 7.56/1.32 % (1581)------------------------------
% 7.56/1.33 % (1608)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/591Mi)
% 7.56/1.33 % (1607)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/980Mi)
% 7.56/1.34 % (1605)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/485Mi)
% 7.56/1.35 % (1589)Instruction limit reached!
% 7.56/1.35 % (1589)------------------------------
% 7.56/1.35 % (1589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.35 % (1589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.35 % (1589)Termination reason: Unknown
% 7.56/1.35 % (1589)Termination phase: Saturation
% 7.56/1.35
% 7.56/1.35 % (1589)Memory used [KB]: 3326
% 7.56/1.35 % (1589)Time elapsed: 0.647 s
% 7.56/1.35 % (1589)Instructions burned: 382 (million)
% 7.56/1.35 % (1589)------------------------------
% 7.56/1.35 % (1589)------------------------------
% 7.56/1.36 % (1569)Instruction limit reached!
% 7.56/1.36 % (1569)------------------------------
% 7.56/1.36 % (1569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.36 % (1569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.36 % (1569)Termination reason: Unknown
% 7.56/1.36 % (1569)Termination phase: Saturation
% 7.56/1.36
% 7.56/1.36 % (1569)Memory used [KB]: 4861
% 7.56/1.36 % (1569)Time elapsed: 0.771 s
% 7.56/1.36 % (1569)Instructions burned: 495 (million)
% 7.56/1.36 % (1569)------------------------------
% 7.56/1.36 % (1569)------------------------------
% 7.98/1.39 % (1609)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/638Mi)
% 7.98/1.40 % (1611)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/691Mi)
% 7.98/1.42 % (1612)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/370Mi)
% 7.98/1.43 % (1568)Instruction limit reached!
% 7.98/1.43 % (1568)------------------------------
% 7.98/1.43 % (1568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.98/1.43 % (1568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.98/1.43 % (1568)Termination reason: Unknown
% 7.98/1.43 % (1568)Termination phase: Saturation
% 7.98/1.43
% 7.98/1.43 % (1568)Memory used [KB]: 10106
% 7.98/1.43 % (1568)Time elapsed: 0.851 s
% 7.98/1.43 % (1568)Instructions burned: 464 (million)
% 7.98/1.43 % (1568)------------------------------
% 7.98/1.43 % (1568)------------------------------
% 7.98/1.44 % (1610)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/947Mi)
% 7.98/1.44 % (1613)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/361Mi)
% 7.98/1.45 % (1615)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1198Mi)
% 7.98/1.46 % (1614)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3058Mi)
% 7.98/1.47 % (1572)Instruction limit reached!
% 7.98/1.47 % (1572)------------------------------
% 7.98/1.47 % (1572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.98/1.47 % (1572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.98/1.47 % (1572)Termination reason: Unknown
% 7.98/1.47 % (1572)Termination phase: Saturation
% 7.98/1.47
% 7.98/1.47 % (1572)Memory used [KB]: 6524
% 7.98/1.47 % (1572)Time elapsed: 0.877 s
% 7.98/1.47 % (1572)Instructions burned: 489 (million)
% 7.98/1.47 % (1572)------------------------------
% 7.98/1.47 % (1572)------------------------------
% 8.47/1.49 % (1616)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2501Mi)
% 8.64/1.55 % (1586)Instruction limit reached!
% 8.64/1.55 % (1586)------------------------------
% 8.64/1.55 % (1586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.64/1.55 % (1586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.64/1.55 % (1586)Termination reason: Unknown
% 8.64/1.55 % (1586)Termination phase: Saturation
% 8.64/1.55
% 8.64/1.55 % (1586)Memory used [KB]: 6652
% 8.64/1.55 % (1586)Time elapsed: 0.891 s
% 8.64/1.55 % (1586)Instructions burned: 489 (million)
% 8.64/1.55 % (1586)------------------------------
% 8.64/1.55 % (1586)------------------------------
% 8.64/1.55 % (1603)Instruction limit reached!
% 8.64/1.55 % (1603)------------------------------
% 8.64/1.55 % (1603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.64/1.55 % (1603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.64/1.55 % (1603)Termination reason: Unknown
% 8.64/1.55 % (1603)Termination phase: Saturation
% 8.64/1.55
% 8.64/1.55 % (1603)Memory used [KB]: 2174
% 8.64/1.55 % (1603)Time elapsed: 0.415 s
% 8.64/1.55 % (1603)Instructions burned: 238 (million)
% 8.64/1.55 % (1603)------------------------------
% 8.64/1.55 % (1603)------------------------------
% 8.64/1.56 % (1597)Instruction limit reached!
% 8.64/1.56 % (1597)------------------------------
% 8.64/1.56 % (1597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.64/1.56 % (1597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.64/1.56 % (1597)Termination reason: Unknown
% 8.64/1.56 % (1597)Termination phase: Saturation
% 8.64/1.56
% 8.64/1.56 % (1597)Memory used [KB]: 4221
% 8.64/1.56 % (1597)Time elapsed: 0.610 s
% 8.64/1.56 % (1597)Instructions burned: 331 (million)
% 8.64/1.56 % (1597)------------------------------
% 8.64/1.56 % (1597)------------------------------
% 8.64/1.56 % (1585)Instruction limit reached!
% 8.64/1.56 % (1585)------------------------------
% 8.64/1.56 % (1585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.64/1.56 % (1585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.64/1.56 % (1585)Termination reason: Unknown
% 8.64/1.56 % (1585)Termination phase: Saturation
% 8.64/1.56
% 8.64/1.56 % (1585)Memory used [KB]: 12281
% 8.64/1.56 % (1585)Time elapsed: 0.238 s
% 8.64/1.56 % (1585)Instructions burned: 502 (million)
% 8.64/1.56 % (1585)------------------------------
% 8.64/1.56 % (1585)------------------------------
% 8.64/1.58 % (1617)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/256Mi)
% 9.03/1.62 % (1618)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/217Mi)
% 9.03/1.69 % (1619)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1168Mi)
% 10.61/1.69 % (1621)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4966Mi)
% 10.61/1.70 % (1620)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1006Mi)
% 10.61/1.71 % (1622)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4835Mi)
% 11.63/1.86 % (1593)Instruction limit reached!
% 11.63/1.86 % (1593)------------------------------
% 11.63/1.86 % (1593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.63/1.87 % (1593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.63/1.87 % (1593)Termination reason: Unknown
% 11.63/1.87 % (1593)Termination phase: Saturation
% 11.63/1.87
% 11.63/1.87 % (1593)Memory used [KB]: 9722
% 11.63/1.87 % (1593)Time elapsed: 0.849 s
% 11.63/1.87 % (1593)Instructions burned: 502 (million)
% 11.63/1.87 % (1593)------------------------------
% 11.63/1.87 % (1593)------------------------------
% 12.28/1.93 % (1612)Instruction limit reached!
% 12.28/1.93 % (1612)------------------------------
% 12.28/1.93 % (1612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.28/1.96 % (1612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.28/1.96 % (1612)Termination reason: Unknown
% 12.28/1.96 % (1612)Termination phase: Saturation
% 12.28/1.96
% 12.28/1.96 % (1612)Memory used [KB]: 3454
% 12.28/1.96 % (1612)Time elapsed: 0.632 s
% 12.28/1.96 % (1612)Instructions burned: 371 (million)
% 12.28/1.96 % (1612)------------------------------
% 12.28/1.96 % (1612)------------------------------
% 12.93/1.99 % (1618)Instruction limit reached!
% 12.93/1.99 % (1618)------------------------------
% 12.93/1.99 % (1618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.93/1.99 % (1618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.93/1.99 % (1618)Termination reason: Unknown
% 12.93/1.99 % (1618)Termination phase: Saturation
% 12.93/1.99
% 12.93/1.99 % (1618)Memory used [KB]: 7164
% 12.93/1.99 % (1618)Time elapsed: 0.488 s
% 12.93/1.99 % (1618)Instructions burned: 219 (million)
% 12.93/1.99 % (1618)------------------------------
% 12.93/1.99 % (1618)------------------------------
% 12.93/2.00 % (1617)Instruction limit reached!
% 12.93/2.00 % (1617)------------------------------
% 12.93/2.00 % (1617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.93/2.00 % (1617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.93/2.00 % (1617)Termination reason: Unknown
% 12.93/2.00 % (1617)Termination phase: Saturation
% 12.93/2.00
% 12.93/2.00 % (1617)Memory used [KB]: 3709
% 12.93/2.00 % (1617)Time elapsed: 0.539 s
% 12.93/2.00 % (1617)Instructions burned: 256 (million)
% 12.93/2.00 % (1617)------------------------------
% 12.93/2.00 % (1617)------------------------------
% 12.93/2.01 % (1623)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3932Mi)
% 12.93/2.05 % (1613)Instruction limit reached!
% 12.93/2.05 % (1613)------------------------------
% 12.93/2.05 % (1613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.93/2.05 % (1613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.93/2.05 % (1613)Termination reason: Unknown
% 12.93/2.05 % (1613)Termination phase: Saturation
% 12.93/2.05
% 12.93/2.05 % (1613)Memory used [KB]: 3070
% 12.93/2.05 % (1613)Time elapsed: 0.634 s
% 12.93/2.05 % (1613)Instructions burned: 361 (million)
% 12.93/2.05 % (1613)------------------------------
% 12.93/2.05 % (1613)------------------------------
% 12.93/2.06 % (1605)Instruction limit reached!
% 12.93/2.06 % (1605)------------------------------
% 12.93/2.06 % (1605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.93/2.06 % (1605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.93/2.06 % (1605)Termination reason: Unknown
% 12.93/2.06 % (1605)Termination phase: Saturation
% 12.93/2.06
% 12.93/2.06 % (1605)Memory used [KB]: 4349
% 12.93/2.06 % (1605)Time elapsed: 0.860 s
% 12.93/2.06 % (1605)Instructions burned: 487 (million)
% 12.93/2.06 % (1605)------------------------------
% 12.93/2.06 % (1605)------------------------------
% 13.66/2.09 % (1624)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1742Mi)
% 13.78/2.10 % (1608)Instruction limit reached!
% 13.78/2.10 % (1608)------------------------------
% 13.78/2.10 % (1608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.78/2.10 % (1608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.78/2.10 % (1608)Termination reason: Unknown
% 13.78/2.10 % (1608)Termination phase: Saturation
% 13.78/2.10
% 13.78/2.10 % (1608)Memory used [KB]: 12792
% 13.78/2.10 % (1608)Time elapsed: 0.278 s
% 13.78/2.10 % (1608)Instructions burned: 591 (million)
% 13.78/2.10 % (1608)------------------------------
% 13.78/2.10 % (1608)------------------------------
% 13.92/2.13 % (1625)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3843Mi)
% 13.92/2.14 % (1626)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/947Mi)
% 13.92/2.17 % (1604)Instruction limit reached!
% 13.92/2.17 % (1604)------------------------------
% 13.92/2.17 % (1604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.92/2.17 % (1604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.92/2.17 % (1604)Termination reason: Unknown
% 13.92/2.17 % (1604)Termination phase: Saturation
% 13.92/2.17
% 13.92/2.17 % (1604)Memory used [KB]: 4605
% 13.92/2.17 % (1604)Time elapsed: 1.042 s
% 13.92/2.17 % (1604)Instructions burned: 657 (million)
% 13.92/2.17 % (1604)------------------------------
% 13.92/2.17 % (1604)------------------------------
% 13.92/2.20 % (1628)lrs+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=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4725Mi)
% 14.76/2.21 % (1627)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/3622Mi)
% 14.76/2.23 % (1609)Instruction limit reached!
% 14.76/2.23 % (1609)------------------------------
% 14.76/2.23 % (1609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.76/2.23 % (1609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.76/2.23 % (1609)Termination reason: Unknown
% 14.76/2.23 % (1609)Termination phase: Saturation
% 14.76/2.23
% 14.76/2.24 % (1609)Memory used [KB]: 6780
% 14.76/2.24 % (1609)Time elapsed: 0.927 s
% 14.76/2.24 % (1609)Instructions burned: 638 (million)
% 14.76/2.24 % (1609)------------------------------
% 14.76/2.24 % (1609)------------------------------
% 14.76/2.25 % (1629)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1518Mi)
% 15.40/2.32 % (1630)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/2661Mi)
% 15.40/2.37 % (1611)Instruction limit reached!
% 15.40/2.37 % (1611)------------------------------
% 15.40/2.37 % (1611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.40/2.37 % (1611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.40/2.37 % (1611)Termination reason: Unknown
% 15.40/2.37 % (1611)Termination phase: Saturation
% 15.40/2.37
% 15.40/2.37 % (1611)Memory used [KB]: 4733
% 15.40/2.37 % (1611)Time elapsed: 1.086 s
% 15.40/2.37 % (1611)Instructions burned: 693 (million)
% 15.40/2.37 % (1611)------------------------------
% 15.40/2.37 % (1611)------------------------------
% 16.20/2.39 % (1631)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1324Mi)
% 17.01/2.51 % (1632)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/1168Mi)
% 17.01/2.59 % (1591)Instruction limit reached!
% 17.01/2.59 % (1591)------------------------------
% 17.01/2.59 % (1591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.01/2.59 % (1591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.01/2.59 % (1591)Termination reason: Unknown
% 17.01/2.59 % (1591)Termination phase: Saturation
% 17.01/2.59
% 17.01/2.59 % (1591)Memory used [KB]: 13944
% 17.01/2.59 % (1591)Time elapsed: 1.768 s
% 17.01/2.59 % (1591)Instructions burned: 1006 (million)
% 17.01/2.59 % (1591)------------------------------
% 17.01/2.59 % (1591)------------------------------
% 17.70/2.64 % (1607)Instruction limit reached!
% 17.70/2.64 % (1607)------------------------------
% 17.70/2.64 % (1607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.70/2.64 % (1607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.70/2.64 % (1607)Termination reason: Unknown
% 17.70/2.64 % (1607)Termination phase: Saturation
% 17.70/2.64
% 17.70/2.64 % (1607)Memory used [KB]: 9466
% 17.70/2.64 % (1607)Time elapsed: 1.393 s
% 17.70/2.64 % (1607)Instructions burned: 980 (million)
% 17.70/2.64 % (1607)------------------------------
% 17.70/2.64 % (1607)------------------------------
% 18.74/2.76 % (1633)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/11321Mi)
% 18.74/2.78 % (1634)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/12082Mi)
% 19.56/2.81 % (1610)Instruction limit reached!
% 19.56/2.81 % (1610)------------------------------
% 19.56/2.81 % (1610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.56/2.81 % (1610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.56/2.81 % (1610)Termination reason: Unknown
% 19.56/2.81 % (1610)Termination phase: Saturation
% 19.56/2.81
% 19.56/2.81 % (1610)Memory used [KB]: 13816
% 19.56/2.81 % (1610)Time elapsed: 1.467 s
% 19.56/2.81 % (1610)Instructions burned: 948 (million)
% 19.56/2.81 % (1610)------------------------------
% 19.56/2.81 % (1610)------------------------------
% 20.26/2.98 % (1635)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/31695Mi)
% 20.96/3.01 % (1625)First to succeed.
% 20.96/3.06 % (1625)Refutation found. Thanks to Tanya!
% 20.96/3.06 % SZS status Theorem for theBenchmark
% 20.96/3.06 % SZS output start Proof for theBenchmark
% See solution above
% 20.96/3.08 % (1625)------------------------------
% 20.96/3.08 % (1625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.96/3.08 % (1625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.96/3.08 % (1625)Termination reason: Refutation
% 20.96/3.08
% 20.96/3.08 % (1625)Memory used [KB]: 3709
% 20.96/3.08 % (1625)Time elapsed: 0.971 s
% 20.96/3.08 % (1625)Instructions burned: 592 (million)
% 20.96/3.08 % (1625)------------------------------
% 20.96/3.08 % (1625)------------------------------
% 20.96/3.08 % (1528)Success in time 2.739 s
%------------------------------------------------------------------------------