TSTP Solution File: SWW635_2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW635_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : Mon Jun 24 18:35:23 EDT 2024
% Result : Theorem 18.92s 3.15s
% Output : Refutation 18.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 487
% Syntax : Number of formulae : 1812 ( 184 unt; 0 typ; 0 def)
% Number of atoms : 6001 ( 825 equ)
% Maximal formula atoms : 130 ( 3 avg)
% Number of connectives : 6875 (2686 ~;2923 |; 666 &)
% ( 454 <=>; 146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number arithmetic : 3753 (1316 atm; 540 fun;1356 num; 541 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 413 ( 409 usr; 401 prp; 0-4 aty)
% Number of functors : 110 ( 103 usr; 63 con; 0-5 aty)
% Number of variables : 1228 (1031 !; 197 ?;1228 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
set_int: $tType ).
tff(type_def_10,type,
map_int_int: $tType ).
tff(type_def_11,type,
map_int_lpmap_int_intrp: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
set: ty > ty ).
tff(func_def_13,type,
empty: ty > uni ).
tff(func_def_14,type,
add: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
remove: ( ty * uni * uni ) > uni ).
tff(func_def_16,type,
union: ( ty * uni * uni ) > uni ).
tff(func_def_17,type,
inter: ( ty * uni * uni ) > uni ).
tff(func_def_18,type,
diff: ( ty * uni * uni ) > uni ).
tff(func_def_19,type,
choose: ( ty * uni ) > uni ).
tff(func_def_20,type,
cardinal1: ( ty * uni ) > $int ).
tff(func_def_23,type,
min_elt1: set_int > $int ).
tff(func_def_24,type,
t2tb: set_int > uni ).
tff(func_def_25,type,
tb2t: uni > set_int ).
tff(func_def_26,type,
t2tb1: $int > uni ).
tff(func_def_27,type,
tb2t1: uni > $int ).
tff(func_def_28,type,
max_elt1: set_int > $int ).
tff(func_def_29,type,
below1: $int > set_int ).
tff(func_def_30,type,
succ1: set_int > set_int ).
tff(func_def_32,type,
pred1: set_int > set_int ).
tff(func_def_33,type,
ref: ty > ty ).
tff(func_def_34,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_35,type,
contents: ( ty * uni ) > uni ).
tff(func_def_36,type,
map: ( ty * ty ) > ty ).
tff(func_def_37,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_38,type,
set1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_39,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_40,type,
n1: $int ).
tff(func_def_41,type,
t2tb2: map_int_int > uni ).
tff(func_def_42,type,
tb2t2: uni > map_int_int ).
tff(func_def_43,type,
t2tb3: map_int_lpmap_int_intrp > uni ).
tff(func_def_44,type,
tb2t3: uni > map_int_lpmap_int_intrp ).
tff(func_def_46,type,
sK0: map_int_int ).
tff(func_def_47,type,
sK1: map_int_lpmap_int_intrp ).
tff(func_def_48,type,
sK2: $int ).
tff(func_def_49,type,
sK3: set_int ).
tff(func_def_50,type,
sK4: set_int ).
tff(func_def_51,type,
sK5: $int ).
tff(func_def_52,type,
sK6: set_int ).
tff(func_def_53,type,
sK7: $int ).
tff(func_def_54,type,
sK8: map_int_int ).
tff(func_def_55,type,
sK9: set_int ).
tff(func_def_56,type,
sK10: $int ).
tff(func_def_57,type,
sK11: map_int_lpmap_int_intrp ).
tff(func_def_58,type,
sK12: $int ).
tff(func_def_59,type,
sK13: map_int_int ).
tff(func_def_60,type,
sK14: $int ).
tff(func_def_61,type,
sK15: $int ).
tff(func_def_62,type,
sK16: $int ).
tff(func_def_63,type,
sK17: map_int_int > $int ).
tff(func_def_64,type,
sK18: $int > $int ).
tff(func_def_65,type,
sK19: $int > $int ).
tff(func_def_66,type,
sK20: $int > $int ).
tff(func_def_67,type,
sK21: ( map_int_int * $int ) > $int ).
tff(func_def_68,type,
sK22: ( map_int_int * $int ) > $int ).
tff(func_def_69,type,
sK23: ( uni * uni * ty ) > uni ).
tff(func_def_70,type,
sK24: ( map_int_int * map_int_int ) > $int ).
tff(func_def_71,type,
sK25: ( uni * uni * ty * $int ) > $int ).
tff(func_def_72,type,
sK26: ( uni * ty * uni ) > uni ).
tff(func_def_73,type,
sK27: ( uni * ty ) > uni ).
tff(func_def_74,type,
sK28: ( $int * map_int_lpmap_int_intrp * $int ) > $int ).
tff(func_def_75,type,
sK29: ( $int * map_int_lpmap_int_intrp * $int ) > $int ).
tff(func_def_76,type,
sF30: $int ).
tff(func_def_77,type,
sF31: $int ).
tff(func_def_78,type,
sF32: uni ).
tff(func_def_79,type,
sF33: uni ).
tff(func_def_80,type,
sF34: uni ).
tff(func_def_81,type,
sF35: $int ).
tff(func_def_82,type,
sF36: uni ).
tff(func_def_83,type,
sF37: $int ).
tff(func_def_84,type,
sF38: uni ).
tff(func_def_85,type,
sF39: uni ).
tff(func_def_86,type,
sF40: uni ).
tff(func_def_87,type,
sF41: $int ).
tff(func_def_88,type,
sF42: uni ).
tff(func_def_89,type,
sF43: uni ).
tff(func_def_90,type,
sF44: uni ).
tff(func_def_91,type,
sF45: map_int_int ).
tff(func_def_92,type,
sF46: uni ).
tff(func_def_93,type,
sF47: uni ).
tff(func_def_94,type,
sF48: uni ).
tff(func_def_95,type,
sF49: uni ).
tff(func_def_96,type,
sF50: uni ).
tff(func_def_97,type,
sF51: uni ).
tff(func_def_98,type,
sF52: ty ).
tff(func_def_99,type,
sF53: uni ).
tff(func_def_100,type,
sF54: uni ).
tff(func_def_101,type,
sF55: uni ).
tff(func_def_102,type,
sF56: $int ).
tff(func_def_103,type,
sF57: $int ).
tff(func_def_104,type,
sF58: $int ).
tff(func_def_111,type,
'$inst60': $int ).
tff(func_def_112,type,
'$inst61': $int ).
tff(func_def_113,type,
'$inst62': $int ).
tff(func_def_115,type,
'$inst63': $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
infix_eqeq: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
subset: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
is_empty: ( ty * uni ) > $o ).
tff(pred_def_8,type,
eq_prefix1: ( ty * uni * uni * $int ) > $o ).
tff(pred_def_9,type,
partial_solution1: ( $int * map_int_int ) > $o ).
tff(pred_def_10,type,
lt_sol1: ( map_int_int * map_int_int ) > $o ).
tff(pred_def_11,type,
sorted1: ( map_int_lpmap_int_intrp * $int * $int ) > $o ).
tff(f4589,plain,
$false,
inference(avatar_smt_refutation,[],[f573,f578,f583,f588,f593,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f793,f798,f803,f808,f813,f821,f827,f834,f840,f846,f853,f863,f868,f873,f880,f888,f897,f903,f909,f916,f924,f930,f937,f943,f949,f951,f957,f964,f973,f978,f991,f996,f1001,f1006,f1023,f1047,f1056,f1065,f1074,f1085,f1092,f1112,f1117,f1123,f1130,f1140,f1157,f1167,f1176,f1182,f1192,f1202,f1217,f1226,f1234,f1243,f1249,f1255,f1262,f1274,f1284,f1292,f1310,f1331,f1339,f1347,f1356,f1364,f1381,f1388,f1395,f1399,f1408,f1429,f1438,f1473,f1501,f1514,f1524,f1530,f1537,f1545,f1552,f1560,f1582,f1588,f1606,f1621,f1626,f1631,f1651,f1656,f1661,f1678,f1682,f1751,f1756,f1784,f1798,f1806,f1814,f1855,f1864,f1876,f1886,f1891,f1914,f1921,f1930,f1953,f1960,f1969,f2000,f2011,f2013,f2021,f2029,f2037,f2045,f2050,f2060,f2061,f2066,f2075,f2082,f2092,f2109,f2143,f2148,f2166,f2167,f2172,f2176,f2180,f2181,f2214,f2247,f2258,f2263,f2268,f2269,f2274,f2278,f2282,f2293,f2298,f2303,f2326,f2328,f2333,f2349,f2370,f2406,f2410,f2440,f2449,f2458,f2464,f2497,f2502,f2521,f2526,f2534,f2539,f2550,f2561,f2572,f2577,f2584,f2589,f2605,f2612,f2671,f2681,f2710,f2729,f2738,f2744,f2750,f2751,f2778,f2789,f2817,f2838,f2872,f2881,f2886,f2939,f2956,f2966,f2976,f2984,f2991,f3010,f3015,f3023,f3045,f3050,f3054,f3092,f3100,f3113,f3118,f3128,f3163,f3177,f3189,f3203,f3224,f3229,f3234,f3247,f3249,f3251,f3256,f3261,f3266,f3271,f3276,f3280,f3282,f3294,f3305,f3323,f3340,f3345,f3350,f3358,f3401,f3415,f3416,f3499,f3577,f3585,f3597,f3603,f3615,f3631,f3638,f3644,f3650,f3654,f3680,f3687,f3693,f3699,f3707,f3713,f3730,f3734,f3740,f3746,f3753,f3778,f3785,f3789,f3795,f3801,f3808,f3819,f3853,f3859,f3869,f3881,f3895,f3900,f3909,f3918,f3935,f3941,f3975,f4031,f4036,f4044,f4049,f4063,f4071,f4072,f4097,f4122,f4127,f4149,f4154,f4174,f4190,f4201,f4214,f4215,f4216,f4217,f4221,f4222,f4224,f4226,f4228,f4230,f4234,f4240,f4242,f4255,f4256,f4265,f4270,f4275,f4279,f4282,f4325,f4327,f4332,f4337,f4343,f4407,f4447,f4453,f4456,f4470,f4480,f4484,f4494,f4500,f4510,f4526,f4572,f4577,f4578,f4583,f4588]) ).
tff(f4588,plain,
( spl59_400
| ~ spl59_78
| ~ spl59_395 ),
inference(avatar_split_clause,[],[f4562,f4519,f1016,f4585]) ).
tff(f4585,plain,
( spl59_400
<=> $less(sK5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_400])]) ).
tff(f1016,plain,
( spl59_78
<=> $less(sK16,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_78])]) ).
tff(f4519,plain,
( spl59_395
<=> ( sK5 = sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_395])]) ).
tff(f4562,plain,
( $less(sK5,n1)
| ~ spl59_78
| ~ spl59_395 ),
inference(superposition,[],[f1018,f4521]) ).
tff(f4521,plain,
( ( sK5 = sK16 )
| ~ spl59_395 ),
inference(avatar_component_clause,[],[f4519]) ).
tff(f1018,plain,
( $less(sK16,n1)
| ~ spl59_78 ),
inference(avatar_component_clause,[],[f1016]) ).
tff(f4583,plain,
( ~ spl59_399
| spl59_298
| ~ spl59_395 ),
inference(avatar_split_clause,[],[f4566,f4519,f3171,f4580]) ).
tff(f4580,plain,
( spl59_399
<=> ( 1 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_399])]) ).
tff(f3171,plain,
( spl59_298
<=> ( 1 = sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_298])]) ).
tff(f4566,plain,
( ( 1 != sK5 )
| spl59_298
| ~ spl59_395 ),
inference(superposition,[],[f3172,f4521]) ).
tff(f3172,plain,
( ( 1 != sK16 )
| spl59_298 ),
inference(avatar_component_clause,[],[f3171]) ).
tff(f4578,plain,
( spl59_308
| ~ spl59_297
| ~ spl59_395 ),
inference(avatar_split_clause,[],[f4565,f4519,f3167,f3258]) ).
tff(f3258,plain,
( spl59_308
<=> $less(1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_308])]) ).
tff(f3167,plain,
( spl59_297
<=> $less(1,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_297])]) ).
tff(f4565,plain,
( $less(1,sK5)
| ~ spl59_297
| ~ spl59_395 ),
inference(superposition,[],[f3169,f4521]) ).
tff(f3169,plain,
( $less(1,sK16)
| ~ spl59_297 ),
inference(avatar_component_clause,[],[f3167]) ).
tff(f4577,plain,
( spl59_398
| ~ spl59_45
| ~ spl59_395 ),
inference(avatar_split_clause,[],[f4560,f4519,f790,f4574]) ).
tff(f4574,plain,
( spl59_398
<=> $less(sK5,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_398])]) ).
tff(f790,plain,
( spl59_45
<=> $less(sK16,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_45])]) ).
tff(f4560,plain,
( $less(sK5,sK14)
| ~ spl59_45
| ~ spl59_395 ),
inference(superposition,[],[f792,f4521]) ).
tff(f792,plain,
( $less(sK16,sK14)
| ~ spl59_45 ),
inference(avatar_component_clause,[],[f790]) ).
tff(f4572,plain,
( spl59_397
| ~ spl59_10
| ~ spl59_395 ),
inference(avatar_split_clause,[],[f4559,f4519,f615,f4569]) ).
tff(f4569,plain,
( spl59_397
<=> ( sF33 = t2tb1(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_397])]) ).
tff(f615,plain,
( spl59_10
<=> ( t2tb1(sK16) = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_10])]) ).
tff(f4559,plain,
( ( sF33 = t2tb1(sK5) )
| ~ spl59_10
| ~ spl59_395 ),
inference(superposition,[],[f617,f4521]) ).
tff(f617,plain,
( ( t2tb1(sK16) = sF33 )
| ~ spl59_10 ),
inference(avatar_component_clause,[],[f615]) ).
tff(f4526,plain,
( spl59_395
| spl59_396
| spl59_390 ),
inference(avatar_split_clause,[],[f4517,f4487,f4523,f4519]) ).
tff(f4523,plain,
( spl59_396
<=> $less(sK5,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_396])]) ).
tff(f4487,plain,
( spl59_390
<=> $less(sK16,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_390])]) ).
tff(f4517,plain,
( ( sK5 = sK16 )
| $less(sK5,sK16)
| spl59_390 ),
inference(resolution,[],[f4489,f100]) ).
tff(f100,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| $less(X1,X0) ),
introduced(theory_axiom_152,[]) ).
tff(f4489,plain,
( ~ $less(sK16,sK5)
| spl59_390 ),
inference(avatar_component_clause,[],[f4487]) ).
tff(f4510,plain,
( spl59_393
| spl59_394
| spl59_389 ),
inference(avatar_split_clause,[],[f4501,f4477,f4507,f4503]) ).
tff(f4503,plain,
( spl59_393
<=> $less(sK5,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_393])]) ).
tff(f4507,plain,
( spl59_394
<=> ( sK5 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_394])]) ).
tff(f4477,plain,
( spl59_389
<=> $less(sK7,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_389])]) ).
tff(f4501,plain,
( $less(sK5,sK7)
| ( sK5 = sK7 )
| spl59_389 ),
inference(resolution,[],[f4479,f100]) ).
tff(f4479,plain,
( ~ $less(sK7,sK5)
| spl59_389 ),
inference(avatar_component_clause,[],[f4477]) ).
tff(f4500,plain,
( spl59_392
| ~ spl59_178
| ~ spl59_39
| ~ spl59_53
| spl59_140 ),
inference(avatar_split_clause,[],[f4495,f1490,f837,f760,f1861,f4497]) ).
tff(f4497,plain,
( spl59_392
<=> ( get(sF52,int,sF53,sF34) = get(sF52,int,sF55,sF34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_392])]) ).
tff(f1861,plain,
( spl59_178
<=> $less(sK15,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_178])]) ).
tff(f760,plain,
( spl59_39
<=> eq_prefix1(sF52,sF55,sF53,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_39])]) ).
tff(f837,plain,
( spl59_53
<=> ( t2tb1(sK15) = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_53])]) ).
tff(f1490,plain,
( spl59_140
<=> $less(sK15,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_140])]) ).
tff(f4495,plain,
( ~ $less(sK15,sK5)
| ( get(sF52,int,sF53,sF34) = get(sF52,int,sF55,sF34) )
| ~ spl59_39
| ~ spl59_53
| spl59_140 ),
inference(subsumption_resolution,[],[f4461,f1491]) ).
tff(f1491,plain,
( ~ $less(sK15,0)
| spl59_140 ),
inference(avatar_component_clause,[],[f1490]) ).
tff(f4461,plain,
( ( get(sF52,int,sF53,sF34) = get(sF52,int,sF55,sF34) )
| $less(sK15,0)
| ~ $less(sK15,sK5)
| ~ spl59_39
| ~ spl59_53 ),
inference(superposition,[],[f1832,f839]) ).
tff(f839,plain,
( ( t2tb1(sK15) = sF34 )
| ~ spl59_53 ),
inference(avatar_component_clause,[],[f837]) ).
tff(f1832,plain,
( ! [X0: $int] :
( ( get(sF52,int,sF53,t2tb1(X0)) = get(sF52,int,sF55,t2tb1(X0)) )
| $less(X0,0)
| ~ $less(X0,sK5) )
| ~ spl59_39 ),
inference(resolution,[],[f440,f762]) ).
tff(f762,plain,
( eq_prefix1(sF52,sF55,sF53,sK5)
| ~ spl59_39 ),
inference(avatar_component_clause,[],[f760]) ).
tff(f440,plain,
! [X2: ty,X3: $int,X0: uni,X1: uni,X5: $int] :
( ~ eq_prefix1(X2,X0,X1,X3)
| ~ $less(X5,X3)
| $less(X5,0)
| ( get(X2,int,X0,t2tb1(X5)) = get(X2,int,X1,t2tb1(X5)) ) ),
inference(cnf_transformation,[],[f292]) ).
tff(f292,plain,
! [X0: uni,X1: uni,X2: ty,X3: $int] :
( ( eq_prefix1(X2,X0,X1,X3)
| ( ~ $less(sK25(X0,X1,X2,X3),0)
& $less(sK25(X0,X1,X2,X3),X3)
& ( get(X2,int,X0,t2tb1(sK25(X0,X1,X2,X3))) != get(X2,int,X1,t2tb1(sK25(X0,X1,X2,X3))) ) ) )
& ( ! [X5: $int] :
( $less(X5,0)
| ~ $less(X5,X3)
| ( get(X2,int,X0,t2tb1(X5)) = get(X2,int,X1,t2tb1(X5)) ) )
| ~ eq_prefix1(X2,X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f290,f291]) ).
tff(f291,plain,
! [X0: uni,X1: uni,X2: ty,X3: $int] :
( ? [X4: $int] :
( ~ $less(X4,0)
& $less(X4,X3)
& ( get(X2,int,X0,t2tb1(X4)) != get(X2,int,X1,t2tb1(X4)) ) )
=> ( ~ $less(sK25(X0,X1,X2,X3),0)
& $less(sK25(X0,X1,X2,X3),X3)
& ( get(X2,int,X0,t2tb1(sK25(X0,X1,X2,X3))) != get(X2,int,X1,t2tb1(sK25(X0,X1,X2,X3))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f290,plain,
! [X0: uni,X1: uni,X2: ty,X3: $int] :
( ( eq_prefix1(X2,X0,X1,X3)
| ? [X4: $int] :
( ~ $less(X4,0)
& $less(X4,X3)
& ( get(X2,int,X0,t2tb1(X4)) != get(X2,int,X1,t2tb1(X4)) ) ) )
& ( ! [X5: $int] :
( $less(X5,0)
| ~ $less(X5,X3)
| ( get(X2,int,X0,t2tb1(X5)) = get(X2,int,X1,t2tb1(X5)) ) )
| ~ eq_prefix1(X2,X0,X1,X3) ) ),
inference(rectify,[],[f289]) ).
tff(f289,plain,
! [X2: uni,X0: uni,X1: ty,X3: $int] :
( ( eq_prefix1(X1,X2,X0,X3)
| ? [X4: $int] :
( ~ $less(X4,0)
& $less(X4,X3)
& ( get(X1,int,X2,t2tb1(X4)) != get(X1,int,X0,t2tb1(X4)) ) ) )
& ( ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,X3)
| ( get(X1,int,X2,t2tb1(X4)) = get(X1,int,X0,t2tb1(X4)) ) )
| ~ eq_prefix1(X1,X2,X0,X3) ) ),
inference(nnf_transformation,[],[f226]) ).
tff(f226,plain,
! [X2: uni,X0: uni,X1: ty,X3: $int] :
( eq_prefix1(X1,X2,X0,X3)
<=> ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,X3)
| ( get(X1,int,X2,t2tb1(X4)) = get(X1,int,X0,t2tb1(X4)) ) ) ),
inference(flattening,[],[f225]) ).
tff(f225,plain,
! [X2: uni,X0: uni,X1: ty,X3: $int] :
( ! [X4: $int] :
( ( get(X1,int,X2,t2tb1(X4)) = get(X1,int,X0,t2tb1(X4)) )
| $less(X4,0)
| ~ $less(X4,X3) )
<=> eq_prefix1(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X2: uni,X0: uni,X1: ty,X3: $int] :
( ! [X4: $int] :
( ( ~ $less(X4,0)
& $less(X4,X3) )
=> ( get(X1,int,X2,t2tb1(X4)) = get(X1,int,X0,t2tb1(X4)) ) )
<=> eq_prefix1(X1,X2,X0,X3) ),
inference(rectify,[],[f81]) ).
tff(f81,plain,
! [X6: uni,X0: ty,X20: uni,X12: $int] :
( ! [X21: $int] :
( ( $less(X21,X12)
& ~ $less(X21,0) )
=> ( get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21)) ) )
<=> eq_prefix1(X0,X20,X6,X12) ),
inference(theory_normalization,[],[f64]) ).
tff(f64,axiom,
! [X6: uni,X0: ty,X20: uni,X12: $int] :
( ! [X21: $int] :
( ( $less(X21,X12)
& $lesseq(0,X21) )
=> ( get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21)) ) )
<=> eq_prefix1(X0,X20,X6,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f4494,plain,
( ~ spl59_390
| spl59_391
| ~ spl59_10
| ~ spl59_39
| spl59_47 ),
inference(avatar_split_clause,[],[f4485,f800,f760,f615,f4491,f4487]) ).
tff(f4491,plain,
( spl59_391
<=> ( get(sF52,int,sF53,sF33) = get(sF52,int,sF55,sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_391])]) ).
tff(f800,plain,
( spl59_47
<=> $less(sK16,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_47])]) ).
tff(f4485,plain,
( ( get(sF52,int,sF53,sF33) = get(sF52,int,sF55,sF33) )
| ~ $less(sK16,sK5)
| ~ spl59_10
| ~ spl59_39
| spl59_47 ),
inference(subsumption_resolution,[],[f4462,f802]) ).
tff(f802,plain,
( ~ $less(sK16,0)
| spl59_47 ),
inference(avatar_component_clause,[],[f800]) ).
tff(f4462,plain,
( ( get(sF52,int,sF53,sF33) = get(sF52,int,sF55,sF33) )
| ~ $less(sK16,sK5)
| $less(sK16,0)
| ~ spl59_10
| ~ spl59_39 ),
inference(superposition,[],[f1832,f617]) ).
tff(f4484,plain,
( spl59_388
| ~ spl59_389
| ~ spl59_1
| ~ spl59_39
| spl59_143
| ~ spl59_376
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4483,f4252,f4237,f1503,f760,f570,f4477,f4473]) ).
tff(f4473,plain,
( spl59_388
<=> ( get(sF52,int,sF53,sF43) = get(sF52,int,sF55,sF43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_388])]) ).
tff(f570,plain,
( spl59_1
<=> ( t2tb1(sF37) = sF38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_1])]) ).
tff(f1503,plain,
( spl59_143
<=> $less(sF37,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_143])]) ).
tff(f4237,plain,
( spl59_376
<=> ( sK7 = sF37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_376])]) ).
tff(f4252,plain,
( spl59_377
<=> ( sF38 = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_377])]) ).
tff(f4483,plain,
( ~ $less(sK7,sK5)
| ( get(sF52,int,sF53,sF43) = get(sF52,int,sF55,sF43) )
| ~ spl59_1
| ~ spl59_39
| spl59_143
| ~ spl59_376
| ~ spl59_377 ),
inference(forward_demodulation,[],[f4482,f4239]) ).
tff(f4239,plain,
( ( sK7 = sF37 )
| ~ spl59_376 ),
inference(avatar_component_clause,[],[f4237]) ).
tff(f4482,plain,
( ~ $less(sF37,sK5)
| ( get(sF52,int,sF53,sF43) = get(sF52,int,sF55,sF43) )
| ~ spl59_1
| ~ spl59_39
| spl59_143
| ~ spl59_377 ),
inference(forward_demodulation,[],[f4481,f4254]) ).
tff(f4254,plain,
( ( sF38 = sF43 )
| ~ spl59_377 ),
inference(avatar_component_clause,[],[f4252]) ).
tff(f4481,plain,
( ( get(sF52,int,sF53,sF38) = get(sF52,int,sF55,sF38) )
| ~ $less(sF37,sK5)
| ~ spl59_1
| ~ spl59_39
| spl59_143 ),
inference(subsumption_resolution,[],[f4463,f1504]) ).
tff(f1504,plain,
( ~ $less(sF37,0)
| spl59_143 ),
inference(avatar_component_clause,[],[f1503]) ).
tff(f4463,plain,
( ~ $less(sF37,sK5)
| ( get(sF52,int,sF53,sF38) = get(sF52,int,sF55,sF38) )
| $less(sF37,0)
| ~ spl59_1
| ~ spl59_39 ),
inference(superposition,[],[f1832,f572]) ).
tff(f572,plain,
( ( t2tb1(sF37) = sF38 )
| ~ spl59_1 ),
inference(avatar_component_clause,[],[f570]) ).
tff(f4480,plain,
( spl59_388
| ~ spl59_389
| spl59_7
| ~ spl59_21
| ~ spl59_39 ),
inference(avatar_split_clause,[],[f4471,f760,f670,f600,f4477,f4473]) ).
tff(f600,plain,
( spl59_7
<=> $less(sK7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_7])]) ).
tff(f670,plain,
( spl59_21
<=> ( t2tb1(sK7) = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_21])]) ).
tff(f4471,plain,
( ( get(sF52,int,sF53,sF43) = get(sF52,int,sF55,sF43) )
| ~ $less(sK7,sK5)
| spl59_7
| ~ spl59_21
| ~ spl59_39 ),
inference(subsumption_resolution,[],[f4460,f602]) ).
tff(f602,plain,
( ~ $less(sK7,0)
| spl59_7 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f4460,plain,
( ( get(sF52,int,sF53,sF43) = get(sF52,int,sF55,sF43) )
| ~ $less(sK7,sK5)
| $less(sK7,0)
| ~ spl59_21
| ~ spl59_39 ),
inference(superposition,[],[f1832,f672]) ).
tff(f672,plain,
( ( t2tb1(sK7) = sF43 )
| ~ spl59_21 ),
inference(avatar_component_clause,[],[f670]) ).
tff(f4470,plain,
( spl59_387
| ~ spl59_39
| ~ spl59_80 ),
inference(avatar_split_clause,[],[f4465,f1040,f760,f4467]) ).
tff(f4467,plain,
( spl59_387
<=> ( get(sF52,int,sF53,t2tb1(0)) = get(sF52,int,sF55,t2tb1(0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_387])]) ).
tff(f1040,plain,
( spl59_80
<=> $less(0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_80])]) ).
tff(f4465,plain,
( ( get(sF52,int,sF53,t2tb1(0)) = get(sF52,int,sF55,t2tb1(0)) )
| ~ spl59_39
| ~ spl59_80 ),
inference(subsumption_resolution,[],[f4458,f1042]) ).
tff(f1042,plain,
( $less(0,sK5)
| ~ spl59_80 ),
inference(avatar_component_clause,[],[f1040]) ).
tff(f4458,plain,
( ( get(sF52,int,sF53,t2tb1(0)) = get(sF52,int,sF55,t2tb1(0)) )
| ~ $less(0,sK5)
| ~ spl59_39 ),
inference(interpreted_simplification,[],[f4457]) ).
tff(f4457,plain,
( ( get(sF52,int,sF53,t2tb1(0)) = get(sF52,int,sF55,t2tb1(0)) )
| $less(0,0)
| ~ $less(0,sK5)
| ~ spl59_39 ),
inference(instantiation,[],[f1832]) ).
tff(f4456,plain,
( ~ spl59_331
| spl59_7
| ~ spl59_18
| ~ spl59_21
| ~ spl59_89
| spl59_332 ),
inference(avatar_split_clause,[],[f4455,f3612,f1089,f670,f655,f600,f3608]) ).
tff(f3608,plain,
( spl59_331
<=> mem(int,t2tb1(sK14),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_331])]) ).
tff(f655,plain,
( spl59_18
<=> ( t2tb(sK3) = sF48 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_18])]) ).
tff(f1089,plain,
( spl59_89
<=> ( $sum(sK7,1) = sK14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_89])]) ).
tff(f3612,plain,
( spl59_332
<=> mem(int,sF43,t2tb(pred1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_332])]) ).
tff(f4455,plain,
( ~ mem(int,t2tb1(sK14),sF48)
| spl59_7
| ~ spl59_18
| ~ spl59_21
| ~ spl59_89
| spl59_332 ),
inference(forward_demodulation,[],[f4454,f657]) ).
tff(f657,plain,
( ( t2tb(sK3) = sF48 )
| ~ spl59_18 ),
inference(avatar_component_clause,[],[f655]) ).
tff(f4454,plain,
( ~ mem(int,t2tb1(sK14),t2tb(sK3))
| spl59_7
| ~ spl59_21
| ~ spl59_89
| spl59_332 ),
inference(resolution,[],[f3614,f2383]) ).
tff(f2383,plain,
( ! [X0: set_int] :
( mem(int,sF43,t2tb(pred1(X0)))
| ~ mem(int,t2tb1(sK14),t2tb(X0)) )
| spl59_7
| ~ spl59_21
| ~ spl59_89 ),
inference(forward_demodulation,[],[f2382,f1091]) ).
tff(f1091,plain,
( ( $sum(sK7,1) = sK14 )
| ~ spl59_89 ),
inference(avatar_component_clause,[],[f1089]) ).
tff(f2382,plain,
( ! [X0: set_int] :
( ~ mem(int,t2tb1($sum(sK7,1)),t2tb(X0))
| mem(int,sF43,t2tb(pred1(X0))) )
| spl59_7
| ~ spl59_21 ),
inference(subsumption_resolution,[],[f2377,f602]) ).
tff(f2377,plain,
( ! [X0: set_int] :
( ~ mem(int,t2tb1($sum(sK7,1)),t2tb(X0))
| $less(sK7,0)
| mem(int,sF43,t2tb(pred1(X0))) )
| ~ spl59_21 ),
inference(superposition,[],[f407,f672]) ).
tff(f407,plain,
! [X0: set_int,X1: $int] :
( mem(int,t2tb1(X1),t2tb(pred1(X0)))
| $less(X1,0)
| ~ mem(int,t2tb1($sum(X1,1)),t2tb(X0)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f266,plain,
! [X0: set_int,X1: $int] :
( ( mem(int,t2tb1(X1),t2tb(pred1(X0)))
| ~ mem(int,t2tb1($sum(X1,1)),t2tb(X0))
| $less(X1,0) )
& ( ( mem(int,t2tb1($sum(X1,1)),t2tb(X0))
& ~ $less(X1,0) )
| ~ mem(int,t2tb1(X1),t2tb(pred1(X0))) ) ),
inference(rectify,[],[f265]) ).
tff(f265,plain,
! [X1: set_int,X0: $int] :
( ( mem(int,t2tb1(X0),t2tb(pred1(X1)))
| ~ mem(int,t2tb1($sum(X0,1)),t2tb(X1))
| $less(X0,0) )
& ( ( mem(int,t2tb1($sum(X0,1)),t2tb(X1))
& ~ $less(X0,0) )
| ~ mem(int,t2tb1(X0),t2tb(pred1(X1))) ) ),
inference(flattening,[],[f264]) ).
tff(f264,plain,
! [X1: set_int,X0: $int] :
( ( mem(int,t2tb1(X0),t2tb(pred1(X1)))
| ~ mem(int,t2tb1($sum(X0,1)),t2tb(X1))
| $less(X0,0) )
& ( ( mem(int,t2tb1($sum(X0,1)),t2tb(X1))
& ~ $less(X0,0) )
| ~ mem(int,t2tb1(X0),t2tb(pred1(X1))) ) ),
inference(nnf_transformation,[],[f153]) ).
tff(f153,plain,
! [X1: set_int,X0: $int] :
( mem(int,t2tb1(X0),t2tb(pred1(X1)))
<=> ( mem(int,t2tb1($sum(X0,1)),t2tb(X1))
& ~ $less(X0,0) ) ),
inference(rectify,[],[f86]) ).
tff(f86,plain,
! [X12: $int,X10: set_int] :
( ( mem(int,t2tb1($sum(X12,1)),t2tb(X10))
& ~ $less(X12,0) )
<=> mem(int,t2tb1(X12),t2tb(pred1(X10))) ),
inference(theory_normalization,[],[f53]) ).
tff(f53,axiom,
! [X12: $int,X10: set_int] :
( ( mem(int,t2tb1($sum(X12,1)),t2tb(X10))
& $lesseq(0,X12) )
<=> mem(int,t2tb1(X12),t2tb(pred1(X10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3614,plain,
( ~ mem(int,sF43,t2tb(pred1(sK3)))
| spl59_332 ),
inference(avatar_component_clause,[],[f3612]) ).
tff(f4453,plain,
( spl59_386
| ~ spl59_147
| ~ spl59_10
| ~ spl59_12
| spl59_47 ),
inference(avatar_split_clause,[],[f4448,f800,f625,f615,f1521,f4450]) ).
tff(f4450,plain,
( spl59_386
<=> ( get(int,int,sF54,sF33) = get(int,int,sF42,sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_386])]) ).
tff(f1521,plain,
( spl59_147
<=> $less(sK16,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_147])]) ).
tff(f625,plain,
( spl59_12
<=> eq_prefix1(int,sF54,sF42,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_12])]) ).
tff(f4448,plain,
( ~ $less(sK16,sK7)
| ( get(int,int,sF54,sF33) = get(int,int,sF42,sF33) )
| ~ spl59_10
| ~ spl59_12
| spl59_47 ),
inference(subsumption_resolution,[],[f4435,f802]) ).
tff(f4435,plain,
( $less(sK16,0)
| ~ $less(sK16,sK7)
| ( get(int,int,sF54,sF33) = get(int,int,sF42,sF33) )
| ~ spl59_10
| ~ spl59_12 ),
inference(superposition,[],[f1828,f617]) ).
tff(f1828,plain,
( ! [X0: $int] :
( ( get(int,int,sF54,t2tb1(X0)) = get(int,int,sF42,t2tb1(X0)) )
| $less(X0,0)
| ~ $less(X0,sK7) )
| ~ spl59_12 ),
inference(resolution,[],[f440,f627]) ).
tff(f627,plain,
( eq_prefix1(int,sF54,sF42,sK7)
| ~ spl59_12 ),
inference(avatar_component_clause,[],[f625]) ).
tff(f4447,plain,
( spl59_385
| ~ spl59_12
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f4442,f1049,f625,f4444]) ).
tff(f4444,plain,
( spl59_385
<=> ( get(int,int,sF54,t2tb1(0)) = get(int,int,sF42,t2tb1(0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_385])]) ).
tff(f1049,plain,
( spl59_82
<=> $less(0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_82])]) ).
tff(f4442,plain,
( ( get(int,int,sF54,t2tb1(0)) = get(int,int,sF42,t2tb1(0)) )
| ~ spl59_12
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f4431,f1051]) ).
tff(f1051,plain,
( $less(0,sK7)
| ~ spl59_82 ),
inference(avatar_component_clause,[],[f1049]) ).
tff(f4431,plain,
( ~ $less(0,sK7)
| ( get(int,int,sF54,t2tb1(0)) = get(int,int,sF42,t2tb1(0)) )
| ~ spl59_12 ),
inference(interpreted_simplification,[],[f4430]) ).
tff(f4430,plain,
( ( get(int,int,sF54,t2tb1(0)) = get(int,int,sF42,t2tb1(0)) )
| $less(0,0)
| ~ $less(0,sK7)
| ~ spl59_12 ),
inference(instantiation,[],[f1828]) ).
tff(f4407,plain,
( spl59_328
| spl59_384
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f4403,f670,f4405,f3583]) ).
tff(f3583,plain,
( spl59_328
<=> ! [X1: set_int] :
( mem(int,sF43,t2tb(succ1(X1)))
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_328])]) ).
tff(f4405,plain,
( spl59_384
<=> ! [X0: $int] :
( $less(sK18(X0),1)
| mem(int,t2tb1(X0),sF39)
| $less(X0,0)
| ~ $less(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_384])]) ).
tff(f4403,plain,
( ! [X0: $int,X1: set_int] :
( $less(sK18(X0),1)
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1))
| mem(int,sF43,t2tb(succ1(X1)))
| ~ $less(X0,n1)
| $less(X0,0)
| mem(int,t2tb1(X0),sF39) )
| ~ spl59_21 ),
inference(forward_demodulation,[],[f4398,f672]) ).
tff(f4398,plain,
! [X0: $int,X1: set_int] :
( ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1))
| mem(int,t2tb1(sK7),t2tb(succ1(X1)))
| $less(sK18(X0),1)
| ~ $less(X0,n1)
| mem(int,t2tb1(X0),sF39)
| $less(X0,0) ),
inference(resolution,[],[f1416,f565]) ).
tff(f565,plain,
! [X0: set_int,X1: $int] :
( $less(X1,1)
| mem(int,t2tb1(X1),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(X1,-1)),t2tb(X0)) ),
inference(evaluation,[],[f419]) ).
tff(f419,plain,
! [X0: set_int,X1: $int] :
( mem(int,t2tb1(X1),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0))
| $less(X1,1) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
! [X0: set_int,X1: $int] :
( ( mem(int,t2tb1(X1),t2tb(succ1(X0)))
| $less(X1,1)
| ~ mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) )
& ( ( ~ $less(X1,1)
& mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) )
| ~ mem(int,t2tb1(X1),t2tb(succ1(X0))) ) ),
inference(flattening,[],[f274]) ).
tff(f274,plain,
! [X0: set_int,X1: $int] :
( ( mem(int,t2tb1(X1),t2tb(succ1(X0)))
| $less(X1,1)
| ~ mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) )
& ( ( ~ $less(X1,1)
& mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) )
| ~ mem(int,t2tb1(X1),t2tb(succ1(X0))) ) ),
inference(nnf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: set_int,X1: $int] :
( mem(int,t2tb1(X1),t2tb(succ1(X0)))
<=> ( ~ $less(X1,1)
& mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) ) ),
inference(rectify,[],[f82]) ).
tff(f82,plain,
! [X10: set_int,X12: $int] :
( mem(int,t2tb1(X12),t2tb(succ1(X10)))
<=> ( ~ $less(X12,1)
& mem(int,t2tb1($sum(X12,$uminus(1))),t2tb(X10)) ) ),
inference(theory_normalization,[],[f52]) ).
tff(f52,axiom,
! [X10: set_int,X12: $int] :
( mem(int,t2tb1(X12),t2tb(succ1(X10)))
<=> ( $lesseq(1,X12)
& mem(int,t2tb1($difference(X12,1)),t2tb(X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1416,plain,
! [X0: $int,X1: $int] :
( ~ $less(sK7,X1)
| ~ $less(X0,n1)
| $less(X0,0)
| $less(sK18(X0),X1)
| mem(int,t2tb1(X0),sF39) ),
inference(resolution,[],[f549,f99]) ).
tff(f99,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_151,[]) ).
tff(f549,plain,
! [X22: $int] :
( $less(sK18(X22),sK7)
| mem(int,t2tb1(X22),sF39)
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(definition_folding,[],[f490,f514]) ).
tff(f514,plain,
t2tb(sK4) = sF39,
introduced(function_definition,[new_symbols(definition,[sF39])]) ).
tff(f490,plain,
! [X22: $int] :
( mem(int,t2tb1(X22),t2tb(sK4))
| $less(sK18(X22),sK7)
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(definition_unfolding,[],[f350,f357]) ).
tff(f357,plain,
sK2 = sK7,
inference(cnf_transformation,[],[f249]) ).
tff(f249,plain,
( ( sK12 = $sum(sK10,$uminus(sK5)) )
& $less(sK16,sK14)
& ( sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) )
& ~ $less(sK16,0)
& mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4)))
& ( $sum(sK7,1) = sK14 )
& ( tb2t2(set1(int,int,t2tb2(sK8),t2tb1(sK7),t2tb1(min_elt1(sK9)))) = sK13 )
& ! [X17: map_int_int] :
( ( ( $less(sK17(X17),sK10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(sK17(X17))),n1)
& ~ $less(sK17(X17),sK5) )
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X17),sK7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(sK7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(sK8),t2tb2(X17),sK7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(sK7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,sK10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X19)),n1)
| $less(X19,sK5) ) ) )
& sorted1(sK11,sK5,sK10)
& partial_solution1(sK7,sK8)
& ~ is_empty(int,t2tb(sK9))
& eq_prefix1(int,t2tb2(sK0),t2tb2(sK8),sK7)
& ~ $less($sum(sK10,$uminus(sK5)),0)
& ! [X20: $int,X21: $int] :
( ~ mem(int,t2tb1(X21),t2tb(sK9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| $less(X20,X21) )
& ( sK2 = sK7 )
& subset(int,t2tb(sK9),diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)))
& eq_prefix1(map(int,int),t2tb3(sK1),t2tb3(sK11),sK5)
& ~ $less(sK2,0)
& ! [X22: $int] :
( ( ( ! [X23: $int] :
( ~ $less(X23,sK2)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X23))) != X22 )
| $less(X23,0) )
& ~ $less(X22,0)
& $less(X22,n1) )
| ~ mem(int,t2tb1(X22),t2tb(sK4)) )
& ( mem(int,t2tb1(X22),t2tb(sK4))
| ( $less(sK18(X22),sK2)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK18(X22)))) = X22 )
& ~ $less(sK18(X22),0) )
| $less(X22,0)
| ~ $less(X22,n1) ) )
& ! [X25: $int] :
( ( ( ! [X26: $int] :
( ~ $less(X26,sK2)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK2)) ) )
| mem(int,t2tb1(X25),t2tb(sK6)) )
& ( ~ mem(int,t2tb1(X25),t2tb(sK6))
| ( $less(sK19(X25),sK2)
& ~ $less(sK19(X25),0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK2)) ) ) ) )
| $less(X25,0) )
& ~ is_empty(int,t2tb(sK4))
& ~ $less(sK5,0)
& ( n1 = $sum(sK2,cardinal1(int,t2tb(sK4))) )
& ! [X28: $int] :
( ( ( ~ mem(int,t2tb1(X28),t2tb(sK3))
| ( ~ $less(sK20(X28),0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK20(X28)))) = $sum($sum(X28,sK2),$uminus(sK20(X28))) )
& $less(sK20(X28),sK2) ) )
& ( ! [X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X30))) != $sum($sum(X28,sK2),$uminus(X30)) )
| ~ $less(X30,sK2) )
| mem(int,t2tb1(X28),t2tb(sK3)) ) )
| $less(X28,0) )
& partial_solution1(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f238,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239]) ).
tff(f239,plain,
( ? [X0: map_int_int,X1: map_int_lpmap_int_intrp,X2: $int,X3: set_int,X4: set_int,X5: $int,X6: set_int] :
( ? [X7: $int,X8: map_int_int,X9: set_int,X10: $int,X11: map_int_lpmap_int_intrp,X12: $int] :
( ( $sum(X10,$uminus(X5)) = X12 )
& ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X9)),t2tb(X4))) )
& ( $sum(X7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(X8),t2tb1(X7),t2tb1(min_elt1(X9)))) = X13 ) )
& ! [X17: map_int_int] :
( ( ? [X18: $int] :
( $less(X18,X10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X18)),n1)
& ~ $less(X18,X5) )
| ~ eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,X10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X19)),n1)
| $less(X19,X5) ) ) )
& sorted1(X11,X5,X10)
& partial_solution1(X7,X8)
& ~ is_empty(int,t2tb(X9))
& eq_prefix1(int,t2tb2(X0),t2tb2(X8),X7)
& ~ $less($sum(X10,$uminus(X5)),0)
& ! [X20: $int,X21: $int] :
( ~ mem(int,t2tb1(X21),t2tb(X9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
| $less(X20,X21) )
& ( X2 = X7 )
& subset(int,t2tb(X9),diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)))
& eq_prefix1(map(int,int),t2tb3(X1),t2tb3(X11),X5) )
& ~ $less(X2,0)
& ! [X22: $int] :
( ( ( ! [X23: $int] :
( ~ $less(X23,X2)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X23))) != X22 )
| $less(X23,0) )
& ~ $less(X22,0)
& $less(X22,n1) )
| ~ mem(int,t2tb1(X22),t2tb(X4)) )
& ( mem(int,t2tb1(X22),t2tb(X4))
| ? [X24: $int] :
( $less(X24,X2)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X24))) = X22 )
& ~ $less(X24,0) )
| $less(X22,0)
| ~ $less(X22,n1) ) )
& ! [X25: $int] :
( ( ( ! [X26: $int] :
( ~ $less(X26,X2)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(X2)) ) )
| mem(int,t2tb1(X25),t2tb(X6)) )
& ( ~ mem(int,t2tb1(X25),t2tb(X6))
| ? [X27: $int] :
( $less(X27,X2)
& ~ $less(X27,0)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(X2)) ) ) ) )
| $less(X25,0) )
& ~ is_empty(int,t2tb(X4))
& ~ $less(X5,0)
& ( n1 = $sum(X2,cardinal1(int,t2tb(X4))) )
& ! [X28: $int] :
( ( ( ~ mem(int,t2tb1(X28),t2tb(X3))
| ? [X29: $int] :
( ~ $less(X29,0)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X29))) = $sum($sum(X28,X2),$uminus(X29)) )
& $less(X29,X2) ) )
& ( ! [X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X30))) != $sum($sum(X28,X2),$uminus(X30)) )
| ~ $less(X30,X2) )
| mem(int,t2tb1(X28),t2tb(X3)) ) )
| $less(X28,0) )
& partial_solution1(X2,X0) )
=> ( ? [X12: $int,X11: map_int_lpmap_int_intrp,X10: $int,X9: set_int,X8: map_int_int,X7: $int] :
( ( $sum(X10,$uminus(sK5)) = X12 )
& ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X9)),t2tb(sK4))) )
& ( $sum(X7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(X8),t2tb1(X7),t2tb1(min_elt1(X9)))) = X13 ) )
& ! [X17: map_int_int] :
( ( ? [X18: $int] :
( $less(X18,X10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X18)),n1)
& ~ $less(X18,sK5) )
| ~ eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,X10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X19)),n1)
| $less(X19,sK5) ) ) )
& sorted1(X11,sK5,X10)
& partial_solution1(X7,X8)
& ~ is_empty(int,t2tb(X9))
& eq_prefix1(int,t2tb2(sK0),t2tb2(X8),X7)
& ~ $less($sum(X10,$uminus(sK5)),0)
& ! [X21: $int,X20: $int] :
( ~ mem(int,t2tb1(X21),t2tb(X9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
| $less(X20,X21) )
& ( sK2 = X7 )
& subset(int,t2tb(X9),diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)))
& eq_prefix1(map(int,int),t2tb3(sK1),t2tb3(X11),sK5) )
& ~ $less(sK2,0)
& ! [X22: $int] :
( ( ( ! [X23: $int] :
( ~ $less(X23,sK2)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X23))) != X22 )
| $less(X23,0) )
& ~ $less(X22,0)
& $less(X22,n1) )
| ~ mem(int,t2tb1(X22),t2tb(sK4)) )
& ( mem(int,t2tb1(X22),t2tb(sK4))
| ? [X24: $int] :
( $less(X24,sK2)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X24))) = X22 )
& ~ $less(X24,0) )
| $less(X22,0)
| ~ $less(X22,n1) ) )
& ! [X25: $int] :
( ( ( ! [X26: $int] :
( ~ $less(X26,sK2)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK2)) ) )
| mem(int,t2tb1(X25),t2tb(sK6)) )
& ( ~ mem(int,t2tb1(X25),t2tb(sK6))
| ? [X27: $int] :
( $less(X27,sK2)
& ~ $less(X27,0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(sK2)) ) ) ) )
| $less(X25,0) )
& ~ is_empty(int,t2tb(sK4))
& ~ $less(sK5,0)
& ( n1 = $sum(sK2,cardinal1(int,t2tb(sK4))) )
& ! [X28: $int] :
( ( ( ~ mem(int,t2tb1(X28),t2tb(sK3))
| ? [X29: $int] :
( ~ $less(X29,0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X29))) = $sum($sum(X28,sK2),$uminus(X29)) )
& $less(X29,sK2) ) )
& ( ! [X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X30))) != $sum($sum(X28,sK2),$uminus(X30)) )
| ~ $less(X30,sK2) )
| mem(int,t2tb1(X28),t2tb(sK3)) ) )
| $less(X28,0) )
& partial_solution1(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f240,plain,
( ? [X12: $int,X11: map_int_lpmap_int_intrp,X10: $int,X9: set_int,X8: map_int_int,X7: $int] :
( ( $sum(X10,$uminus(sK5)) = X12 )
& ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X9)),t2tb(sK4))) )
& ( $sum(X7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(X8),t2tb1(X7),t2tb1(min_elt1(X9)))) = X13 ) )
& ! [X17: map_int_int] :
( ( ? [X18: $int] :
( $less(X18,X10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X18)),n1)
& ~ $less(X18,sK5) )
| ~ eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,X10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X19)),n1)
| $less(X19,sK5) ) ) )
& sorted1(X11,sK5,X10)
& partial_solution1(X7,X8)
& ~ is_empty(int,t2tb(X9))
& eq_prefix1(int,t2tb2(sK0),t2tb2(X8),X7)
& ~ $less($sum(X10,$uminus(sK5)),0)
& ! [X21: $int,X20: $int] :
( ~ mem(int,t2tb1(X21),t2tb(X9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(X9)))
| $less(X20,X21) )
& ( sK2 = X7 )
& subset(int,t2tb(X9),diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)))
& eq_prefix1(map(int,int),t2tb3(sK1),t2tb3(X11),sK5) )
=> ( ( sK12 = $sum(sK10,$uminus(sK5)) )
& ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
& ( $sum(sK7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(sK8),t2tb1(sK7),t2tb1(min_elt1(sK9)))) = X13 ) )
& ! [X17: map_int_int] :
( ( ? [X18: $int] :
( $less(X18,sK10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X18)),n1)
& ~ $less(X18,sK5) )
| ~ eq_prefix1(int,t2tb2(sK8),t2tb2(X17),sK7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(sK7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(sK8),t2tb2(X17),sK7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(sK7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,sK10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X19)),n1)
| $less(X19,sK5) ) ) )
& sorted1(sK11,sK5,sK10)
& partial_solution1(sK7,sK8)
& ~ is_empty(int,t2tb(sK9))
& eq_prefix1(int,t2tb2(sK0),t2tb2(sK8),sK7)
& ~ $less($sum(sK10,$uminus(sK5)),0)
& ! [X21: $int,X20: $int] :
( ~ mem(int,t2tb1(X21),t2tb(sK9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| $less(X20,X21) )
& ( sK2 = sK7 )
& subset(int,t2tb(sK9),diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)))
& eq_prefix1(map(int,int),t2tb3(sK1),t2tb3(sK11),sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f241,plain,
( ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
& ( $sum(sK7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(sK8),t2tb1(sK7),t2tb1(min_elt1(sK9)))) = X13 ) )
=> ( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
& ( $sum(sK7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(sK8),t2tb1(sK7),t2tb1(min_elt1(sK9)))) = sK13 ) ) ),
introduced(choice_axiom,[]) ).
tff(f242,plain,
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
& ( $sum(sK7,1) = X14 ) )
=> ( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,sK14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
& ( $sum(sK7,1) = sK14 ) ) ),
introduced(choice_axiom,[]) ).
tff(f243,plain,
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,sK14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) )
=> ( ? [X16: $int] :
( $less(X16,sK14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))) ) ),
introduced(choice_axiom,[]) ).
tff(f244,plain,
( ? [X16: $int] :
( $less(X16,sK14)
& ( tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 )
& ~ $less(X16,0) )
=> ( $less(sK16,sK14)
& ( sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) )
& ~ $less(sK16,0) ) ),
introduced(choice_axiom,[]) ).
tff(f245,plain,
! [X17: map_int_int] :
( ? [X18: $int] :
( $less(X18,sK10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X18)),n1)
& ~ $less(X18,sK5) )
=> ( $less(sK17(X17),sK10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(sK17(X17))),n1)
& ~ $less(sK17(X17),sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f246,plain,
! [X22: $int] :
( ? [X24: $int] :
( $less(X24,sK2)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X24))) = X22 )
& ~ $less(X24,0) )
=> ( $less(sK18(X22),sK2)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK18(X22)))) = X22 )
& ~ $less(sK18(X22),0) ) ),
introduced(choice_axiom,[]) ).
tff(f247,plain,
! [X25: $int] :
( ? [X27: $int] :
( $less(X27,sK2)
& ~ $less(X27,0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(sK2)) ) )
=> ( $less(sK19(X25),sK2)
& ~ $less(sK19(X25),0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK2)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f248,plain,
! [X28: $int] :
( ? [X29: $int] :
( ~ $less(X29,0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X29))) = $sum($sum(X28,sK2),$uminus(X29)) )
& $less(X29,sK2) )
=> ( ~ $less(sK20(X28),0)
& ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK20(X28)))) = $sum($sum(X28,sK2),$uminus(sK20(X28))) )
& $less(sK20(X28),sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f238,plain,
? [X0: map_int_int,X1: map_int_lpmap_int_intrp,X2: $int,X3: set_int,X4: set_int,X5: $int,X6: set_int] :
( ? [X7: $int,X8: map_int_int,X9: set_int,X10: $int,X11: map_int_lpmap_int_intrp,X12: $int] :
( ( $sum(X10,$uminus(X5)) = X12 )
& ? [X13: map_int_int] :
( ? [X14: $int] :
( ? [X15: $int] :
( ? [X16: $int] :
( $less(X16,X14)
& ( tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 )
& ~ $less(X16,0) )
& mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X9)),t2tb(X4))) )
& ( $sum(X7,1) = X14 ) )
& ( tb2t2(set1(int,int,t2tb2(X8),t2tb1(X7),t2tb1(min_elt1(X9)))) = X13 ) )
& ! [X17: map_int_int] :
( ( ? [X18: $int] :
( $less(X18,X10)
& eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X18)),n1)
& ~ $less(X18,X5) )
| ~ eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
| ~ mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
| ~ partial_solution1(n1,X17) )
& ( ( eq_prefix1(int,t2tb2(X8),t2tb2(X17),X7)
& mem(int,get(int,int,t2tb2(X17),t2tb1(X7)),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
& partial_solution1(n1,X17) )
| ! [X19: $int] :
( ~ $less(X19,X10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X11),t2tb1(X19)),n1)
| $less(X19,X5) ) ) )
& sorted1(X11,X5,X10)
& partial_solution1(X7,X8)
& ~ is_empty(int,t2tb(X9))
& eq_prefix1(int,t2tb2(X0),t2tb2(X8),X7)
& ~ $less($sum(X10,$uminus(X5)),0)
& ! [X20: $int,X21: $int] :
( ~ mem(int,t2tb1(X21),t2tb(X9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)),t2tb(X9)))
| $less(X20,X21) )
& ( X2 = X7 )
& subset(int,t2tb(X9),diff(int,diff(int,t2tb(X4),t2tb(X6)),t2tb(X3)))
& eq_prefix1(map(int,int),t2tb3(X1),t2tb3(X11),X5) )
& ~ $less(X2,0)
& ! [X22: $int] :
( ( ( ! [X23: $int] :
( ~ $less(X23,X2)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X23))) != X22 )
| $less(X23,0) )
& ~ $less(X22,0)
& $less(X22,n1) )
| ~ mem(int,t2tb1(X22),t2tb(X4)) )
& ( mem(int,t2tb1(X22),t2tb(X4))
| ? [X24: $int] :
( $less(X24,X2)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X24))) = X22 )
& ~ $less(X24,0) )
| $less(X22,0)
| ~ $less(X22,n1) ) )
& ! [X25: $int] :
( ( ( ! [X26: $int] :
( ~ $less(X26,X2)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(X2)) ) )
| mem(int,t2tb1(X25),t2tb(X6)) )
& ( ~ mem(int,t2tb1(X25),t2tb(X6))
| ? [X27: $int] :
( $less(X27,X2)
& ~ $less(X27,0)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(X2)) ) ) ) )
| $less(X25,0) )
& ~ is_empty(int,t2tb(X4))
& ~ $less(X5,0)
& ( n1 = $sum(X2,cardinal1(int,t2tb(X4))) )
& ! [X28: $int] :
( ( ( ~ mem(int,t2tb1(X28),t2tb(X3))
| ? [X29: $int] :
( ~ $less(X29,0)
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X29))) = $sum($sum(X28,X2),$uminus(X29)) )
& $less(X29,X2) ) )
& ( ! [X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X30))) != $sum($sum(X28,X2),$uminus(X30)) )
| ~ $less(X30,X2) )
| mem(int,t2tb1(X28),t2tb(X3)) ) )
| $less(X28,0) )
& partial_solution1(X2,X0) ),
inference(rectify,[],[f237]) ).
tff(f237,plain,
? [X5: map_int_int,X2: map_int_lpmap_int_intrp,X4: $int,X6: set_int,X1: set_int,X0: $int,X3: set_int] :
( ? [X14: $int,X18: map_int_int,X17: set_int,X16: $int,X15: map_int_lpmap_int_intrp,X13: $int] :
( ( $sum(X16,$uminus(X0)) = X13 )
& ? [X23: map_int_int] :
( ? [X24: $int] :
( ? [X25: $int] :
( ? [X26: $int] :
( $less(X26,X24)
& ( tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 )
& ~ $less(X26,0) )
& mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X17)),t2tb(X1))) )
& ( $sum(X14,1) = X24 ) )
& ( tb2t2(set1(int,int,t2tb2(X18),t2tb1(X14),t2tb1(min_elt1(X17)))) = X23 ) )
& ! [X21: map_int_int] :
( ( ? [X22: $int] :
( $less(X22,X16)
& eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
& ~ $less(X22,X0) )
| ~ eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
| ~ mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
| ~ partial_solution1(n1,X21) )
& ( ( eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
& mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
& partial_solution1(n1,X21) )
| ! [X22: $int] :
( ~ $less(X22,X16)
| ~ eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
| $less(X22,X0) ) ) )
& sorted1(X15,X0,X16)
& partial_solution1(X14,X18)
& ~ is_empty(int,t2tb(X17))
& eq_prefix1(int,t2tb2(X5),t2tb2(X18),X14)
& ~ $less($sum(X16,$uminus(X0)),0)
& ! [X20: $int,X19: $int] :
( ~ mem(int,t2tb1(X19),t2tb(X17))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
| $less(X20,X19) )
& ( X4 = X14 )
& subset(int,t2tb(X17),diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)))
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X15),X0) )
& ~ $less(X4,0)
& ! [X7: $int] :
( ( ( ! [X8: $int] :
( ~ $less(X8,X4)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) != X7 )
| $less(X8,0) )
& ~ $less(X7,0)
& $less(X7,n1) )
| ~ mem(int,t2tb1(X7),t2tb(X1)) )
& ( mem(int,t2tb1(X7),t2tb(X1))
| ? [X8: $int] :
( $less(X8,X4)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) = X7 )
& ~ $less(X8,0) )
| $less(X7,0)
| ~ $less(X7,n1) ) )
& ! [X9: $int] :
( ( ( ! [X10: $int] :
( ~ $less(X10,X4)
| $less(X10,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X4)) ) )
| mem(int,t2tb1(X9),t2tb(X3)) )
& ( ~ mem(int,t2tb1(X9),t2tb(X3))
| ? [X10: $int] :
( $less(X10,X4)
& ~ $less(X10,0)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) = $sum($sum(X9,X10),$uminus(X4)) ) ) ) )
| $less(X9,0) )
& ~ is_empty(int,t2tb(X1))
& ~ $less(X0,0)
& ( n1 = $sum(X4,cardinal1(int,t2tb(X1))) )
& ! [X11: $int] :
( ( ( ~ mem(int,t2tb1(X11),t2tb(X6))
| ? [X12: $int] :
( ~ $less(X12,0)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) = $sum($sum(X11,X4),$uminus(X12)) )
& $less(X12,X4) ) )
& ( ! [X12: $int] :
( $less(X12,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) != $sum($sum(X11,X4),$uminus(X12)) )
| ~ $less(X12,X4) )
| mem(int,t2tb1(X11),t2tb(X6)) ) )
| $less(X11,0) )
& partial_solution1(X4,X5) ),
inference(flattening,[],[f236]) ).
tff(f236,plain,
? [X5: map_int_int,X2: map_int_lpmap_int_intrp,X4: $int,X6: set_int,X1: set_int,X0: $int,X3: set_int] :
( ? [X14: $int,X18: map_int_int,X17: set_int,X16: $int,X15: map_int_lpmap_int_intrp,X13: $int] :
( ( $sum(X16,$uminus(X0)) = X13 )
& ? [X23: map_int_int] :
( ? [X24: $int] :
( ? [X25: $int] :
( ? [X26: $int] :
( $less(X26,X24)
& ( tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 )
& ~ $less(X26,0) )
& mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X17)),t2tb(X1))) )
& ( $sum(X14,1) = X24 ) )
& ( tb2t2(set1(int,int,t2tb2(X18),t2tb1(X14),t2tb1(min_elt1(X17)))) = X23 ) )
& ! [X21: map_int_int] :
( ( ? [X22: $int] :
( $less(X22,X16)
& eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
& ~ $less(X22,X0) )
| ~ eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
| ~ mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
| ~ partial_solution1(n1,X21) )
& ( ( eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
& mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
& partial_solution1(n1,X21) )
| ! [X22: $int] :
( ~ $less(X22,X16)
| ~ eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
| $less(X22,X0) ) ) )
& sorted1(X15,X0,X16)
& partial_solution1(X14,X18)
& ~ is_empty(int,t2tb(X17))
& eq_prefix1(int,t2tb2(X5),t2tb2(X18),X14)
& ~ $less($sum(X16,$uminus(X0)),0)
& ! [X20: $int,X19: $int] :
( ~ mem(int,t2tb1(X19),t2tb(X17))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
| $less(X20,X19) )
& ( X4 = X14 )
& subset(int,t2tb(X17),diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)))
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X15),X0) )
& ~ $less(X4,0)
& ! [X7: $int] :
( ( ( ! [X8: $int] :
( ~ $less(X8,X4)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) != X7 )
| $less(X8,0) )
& ~ $less(X7,0)
& $less(X7,n1) )
| ~ mem(int,t2tb1(X7),t2tb(X1)) )
& ( mem(int,t2tb1(X7),t2tb(X1))
| ? [X8: $int] :
( $less(X8,X4)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) = X7 )
& ~ $less(X8,0) )
| $less(X7,0)
| ~ $less(X7,n1) ) )
& ! [X9: $int] :
( ( ( ! [X10: $int] :
( ~ $less(X10,X4)
| $less(X10,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X4)) ) )
| mem(int,t2tb1(X9),t2tb(X3)) )
& ( ~ mem(int,t2tb1(X9),t2tb(X3))
| ? [X10: $int] :
( $less(X10,X4)
& ~ $less(X10,0)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) = $sum($sum(X9,X10),$uminus(X4)) ) ) ) )
| $less(X9,0) )
& ~ is_empty(int,t2tb(X1))
& ~ $less(X0,0)
& ( n1 = $sum(X4,cardinal1(int,t2tb(X1))) )
& ! [X11: $int] :
( ( ( ~ mem(int,t2tb1(X11),t2tb(X6))
| ? [X12: $int] :
( ~ $less(X12,0)
& ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) = $sum($sum(X11,X4),$uminus(X12)) )
& $less(X12,X4) ) )
& ( ! [X12: $int] :
( $less(X12,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) != $sum($sum(X11,X4),$uminus(X12)) )
| ~ $less(X12,X4) )
| mem(int,t2tb1(X11),t2tb(X6)) ) )
| $less(X11,0) )
& partial_solution1(X4,X5) ),
inference(nnf_transformation,[],[f204]) ).
tff(f204,plain,
? [X5: map_int_int,X2: map_int_lpmap_int_intrp,X4: $int,X6: set_int,X1: set_int,X0: $int,X3: set_int] :
( ? [X14: $int,X18: map_int_int,X17: set_int,X16: $int,X15: map_int_lpmap_int_intrp,X13: $int] :
( ( $sum(X16,$uminus(X0)) = X13 )
& ? [X23: map_int_int] :
( ? [X24: $int] :
( ? [X25: $int] :
( ? [X26: $int] :
( $less(X26,X24)
& ( tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 )
& ~ $less(X26,0) )
& mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X17)),t2tb(X1))) )
& ( $sum(X14,1) = X24 ) )
& ( tb2t2(set1(int,int,t2tb2(X18),t2tb1(X14),t2tb1(min_elt1(X17)))) = X23 ) )
& ! [X21: map_int_int] :
( ? [X22: $int] :
( $less(X22,X16)
& eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
& ~ $less(X22,X0) )
<=> ( eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
& mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
& partial_solution1(n1,X21) ) )
& sorted1(X15,X0,X16)
& partial_solution1(X14,X18)
& ~ is_empty(int,t2tb(X17))
& eq_prefix1(int,t2tb2(X5),t2tb2(X18),X14)
& ~ $less($sum(X16,$uminus(X0)),0)
& ! [X20: $int,X19: $int] :
( ~ mem(int,t2tb1(X19),t2tb(X17))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
| $less(X20,X19) )
& ( X4 = X14 )
& subset(int,t2tb(X17),diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)))
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X15),X0) )
& ~ $less(X4,0)
& ! [X7: $int] :
( ( ! [X8: $int] :
( ~ $less(X8,X4)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) != X7 )
| $less(X8,0) )
& ~ $less(X7,0)
& $less(X7,n1) )
<=> mem(int,t2tb1(X7),t2tb(X1)) )
& ! [X9: $int] :
( ( ! [X10: $int] :
( ~ $less(X10,X4)
| $less(X10,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X4)) ) )
<=> ~ mem(int,t2tb1(X9),t2tb(X3)) )
| $less(X9,0) )
& ~ is_empty(int,t2tb(X1))
& ~ $less(X0,0)
& ( n1 = $sum(X4,cardinal1(int,t2tb(X1))) )
& ! [X11: $int] :
( ( ~ mem(int,t2tb1(X11),t2tb(X6))
<=> ! [X12: $int] :
( $less(X12,0)
| ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) != $sum($sum(X11,X4),$uminus(X12)) )
| ~ $less(X12,X4) ) )
| $less(X11,0) )
& partial_solution1(X4,X5) ),
inference(flattening,[],[f203]) ).
tff(f203,plain,
? [X5: map_int_int,X4: $int,X1: set_int,X0: $int,X3: set_int,X2: map_int_lpmap_int_intrp,X6: set_int] :
( ? [X16: $int,X15: map_int_lpmap_int_intrp,X17: set_int,X18: map_int_int,X13: $int,X14: $int] :
( ? [X23: map_int_int] :
( ? [X24: $int] :
( ? [X25: $int] :
( ? [X26: $int] :
( ( tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 )
& $less(X26,X24)
& ~ $less(X26,0) )
& mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X17)),t2tb(X1))) )
& ( $sum(X14,1) = X24 ) )
& ( tb2t2(set1(int,int,t2tb2(X18),t2tb1(X14),t2tb1(min_elt1(X17)))) = X23 ) )
& ~ is_empty(int,t2tb(X17))
& ! [X21: map_int_int] :
( ? [X22: $int] :
( $less(X22,X16)
& eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
& ~ $less(X22,X0) )
<=> ( eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
& mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
& partial_solution1(n1,X21) ) )
& subset(int,t2tb(X17),diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)))
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X15),X0)
& ( X4 = X14 )
& ! [X20: $int,X19: $int] :
( $less(X20,X19)
| ~ mem(int,t2tb1(X19),t2tb(X17))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17))) )
& ~ $less($sum(X16,$uminus(X0)),0)
& ( $sum(X16,$uminus(X0)) = X13 )
& eq_prefix1(int,t2tb2(X5),t2tb2(X18),X14)
& sorted1(X15,X0,X16)
& partial_solution1(X14,X18) )
& ~ is_empty(int,t2tb(X1))
& ! [X9: $int] :
( ( ~ mem(int,t2tb1(X9),t2tb(X3))
<=> ! [X10: $int] :
( ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X4)) )
| $less(X10,0)
| ~ $less(X10,X4) ) )
| $less(X9,0) )
& ~ $less(X0,0)
& partial_solution1(X4,X5)
& ( n1 = $sum(X4,cardinal1(int,t2tb(X1))) )
& ! [X7: $int] :
( ( ! [X8: $int] :
( ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) != X7 )
| $less(X8,0)
| ~ $less(X8,X4) )
& $less(X7,n1)
& ~ $less(X7,0) )
<=> mem(int,t2tb1(X7),t2tb(X1)) )
& ! [X11: $int] :
( ( ! [X12: $int] :
( ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) != $sum($sum(X11,X4),$uminus(X12)) )
| $less(X12,0)
| ~ $less(X12,X4) )
<=> ~ mem(int,t2tb1(X11),t2tb(X6)) )
| $less(X11,0) )
& ~ $less(X4,0) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
~ ! [X5: map_int_int,X4: $int,X1: set_int,X0: $int,X3: set_int,X2: map_int_lpmap_int_intrp,X6: set_int] :
( ( ! [X9: $int] :
( ~ $less(X9,0)
=> ( ~ mem(int,t2tb1(X9),t2tb(X3))
<=> ! [X10: $int] :
( ( ~ $less(X10,0)
& $less(X10,X4) )
=> ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X4)) ) ) ) )
& ~ $less(X0,0)
& partial_solution1(X4,X5)
& ( n1 = $sum(X4,cardinal1(int,t2tb(X1))) )
& ! [X7: $int] :
( ( ! [X8: $int] :
( ( ~ $less(X8,0)
& $less(X8,X4) )
=> ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X8))) != X7 ) )
& $less(X7,n1)
& ~ $less(X7,0) )
<=> mem(int,t2tb1(X7),t2tb(X1)) )
& ! [X11: $int] :
( ~ $less(X11,0)
=> ( ! [X12: $int] :
( ( ~ $less(X12,0)
& $less(X12,X4) )
=> ( tb2t1(get(int,int,t2tb2(X5),t2tb1(X12))) != $sum($sum(X11,X4),$uminus(X12)) ) )
<=> ~ mem(int,t2tb1(X11),t2tb(X6)) ) )
& ~ $less(X4,0) )
=> ( ~ is_empty(int,t2tb(X1))
=> ! [X16: $int,X15: map_int_lpmap_int_intrp,X17: set_int,X18: map_int_int,X13: $int,X14: $int] :
( ( ! [X21: map_int_int] :
( ? [X22: $int] :
( $less(X22,X16)
& eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X15),t2tb1(X22)),n1)
& ~ $less(X22,X0) )
<=> ( eq_prefix1(int,t2tb2(X18),t2tb2(X21),X14)
& mem(int,get(int,int,t2tb2(X21),t2tb1(X14)),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
& partial_solution1(n1,X21) ) )
& subset(int,t2tb(X17),diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)))
& eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X15),X0)
& ( X4 = X14 )
& ! [X20: $int,X19: $int] :
( mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X1),t2tb(X3)),t2tb(X6)),t2tb(X17)))
=> ( mem(int,t2tb1(X19),t2tb(X17))
=> $less(X20,X19) ) )
& ~ $less($sum(X16,$uminus(X0)),0)
& ( $sum(X16,$uminus(X0)) = X13 )
& eq_prefix1(int,t2tb2(X5),t2tb2(X18),X14)
& sorted1(X15,X0,X16)
& partial_solution1(X14,X18) )
=> ( ~ is_empty(int,t2tb(X17))
=> ! [X23: map_int_int] :
( ( tb2t2(set1(int,int,t2tb2(X18),t2tb1(X14),t2tb1(min_elt1(X17)))) = X23 )
=> ! [X24: $int] :
( ( $sum(X14,1) = X24 )
=> ! [X25: $int] :
( mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X17)),t2tb(X1)))
=> ! [X26: $int] :
( ( $less(X26,X24)
& ~ $less(X26,0) )
=> ( tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) != X25 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f85]) ).
tff(f85,plain,
~ ! [X10: $int,X0: set_int,X23: map_int_lpmap_int_intrp,X15: set_int,X21: $int,X24: map_int_int,X22: set_int] :
( ( ! [X12: $int] :
( ( ! [X13: $int] :
( ( ~ $less(X13,0)
& $less(X13,X21) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& ~ $less(X12,0)
& $less(X12,n1) )
<=> mem(int,t2tb1(X12),t2tb(X0)) )
& ~ $less(X21,0)
& ~ $less(X10,0)
& partial_solution1(X21,X24)
& ! [X12: $int] :
( ~ $less(X12,0)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& ~ $less(X13,0) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X13),$uminus(X21)) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X15)) ) )
& ( n1 = $sum(X21,cardinal1(int,t2tb(X0))) )
& ! [X12: $int] :
( ~ $less(X12,0)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& ~ $less(X13,0) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X21),$uminus(X13)) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X22)) ) ) )
=> ( ~ is_empty(int,t2tb(X0))
=> ! [X25: $int,X28: $int,X27: map_int_lpmap_int_intrp,X8: $int,X26: set_int,X29: map_int_int] :
( ( ! [X13: $int,X12: $int] :
( mem(int,t2tb1(X12),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
=> ( mem(int,t2tb1(X13),t2tb(X26))
=> $less(X12,X13) ) )
& partial_solution1(X28,X29)
& eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X27),X10)
& ( $sum(X8,$uminus(X10)) = X25 )
& ( X21 = X28 )
& ! [X20: map_int_int] :
( ( mem(int,get(int,int,t2tb2(X20),t2tb1(X28)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
& eq_prefix1(int,t2tb2(X29),t2tb2(X20),X28)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( ~ $less(X12,X10)
& eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X27),t2tb1(X12)),n1)
& $less(X12,X8) ) )
& sorted1(X27,X10,X8)
& ~ $less($sum(X8,$uminus(X10)),0)
& subset(int,t2tb(X26),diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)))
& eq_prefix1(int,t2tb2(X24),t2tb2(X29),X28) )
=> ( ~ is_empty(int,t2tb(X26))
=> ! [X30: map_int_int] :
( ( tb2t2(set1(int,int,t2tb2(X29),t2tb1(X28),t2tb1(min_elt1(X26)))) = X30 )
=> ! [X31: $int] :
( ( $sum(X28,1) = X31 )
=> ! [X12: $int] :
( mem(int,t2tb1(X12),remove(int,t2tb1(min_elt1(X26)),t2tb(X0)))
=> ! [X13: $int] :
( ( ~ $less(X13,0)
& $less(X13,X31) )
=> ( tb2t1(get(int,int,t2tb2(X30),t2tb1(X13))) != X12 ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f77]) ).
tff(f77,negated_conjecture,
~ ! [X10: $int,X0: set_int,X23: map_int_lpmap_int_intrp,X15: set_int,X21: $int,X24: map_int_int,X22: set_int] :
( ( ! [X12: $int] :
( ( ! [X13: $int] :
( ( $lesseq(0,X13)
& $less(X13,X21) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& $lesseq(0,X12)
& $less(X12,n1) )
<=> mem(int,t2tb1(X12),t2tb(X0)) )
& $lesseq(0,X21)
& $lesseq(0,X10)
& partial_solution1(X21,X24)
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X15)) ) )
& ( n1 = $sum(X21,cardinal1(int,t2tb(X0))) )
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X22)) ) ) )
=> ( ~ is_empty(int,t2tb(X0))
=> ! [X25: $int,X28: $int,X27: map_int_lpmap_int_intrp,X8: $int,X26: set_int,X29: map_int_int] :
( ( ! [X13: $int,X12: $int] :
( mem(int,t2tb1(X12),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
=> ( mem(int,t2tb1(X13),t2tb(X26))
=> $less(X12,X13) ) )
& partial_solution1(X28,X29)
& eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X27),X10)
& ( $difference(X8,X10) = X25 )
& ( X21 = X28 )
& ! [X20: map_int_int] :
( ( mem(int,get(int,int,t2tb2(X20),t2tb1(X28)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
& eq_prefix1(int,t2tb2(X29),t2tb2(X20),X28)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( $lesseq(X10,X12)
& eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X27),t2tb1(X12)),n1)
& $less(X12,X8) ) )
& sorted1(X27,X10,X8)
& $lesseq(0,$difference(X8,X10))
& subset(int,t2tb(X26),diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)))
& eq_prefix1(int,t2tb2(X24),t2tb2(X29),X28) )
=> ( ~ is_empty(int,t2tb(X26))
=> ! [X30: map_int_int] :
( ( tb2t2(set1(int,int,t2tb2(X29),t2tb1(X28),t2tb1(min_elt1(X26)))) = X30 )
=> ! [X31: $int] :
( ( $sum(X28,1) = X31 )
=> ! [X12: $int] :
( mem(int,t2tb1(X12),remove(int,t2tb1(min_elt1(X26)),t2tb(X0)))
=> ! [X13: $int] :
( ( $lesseq(0,X13)
& $less(X13,X31) )
=> ( tb2t1(get(int,int,t2tb2(X30),t2tb1(X13))) != X12 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f76]) ).
tff(f76,conjecture,
! [X10: $int,X0: set_int,X23: map_int_lpmap_int_intrp,X15: set_int,X21: $int,X24: map_int_int,X22: set_int] :
( ( ! [X12: $int] :
( ( ! [X13: $int] :
( ( $lesseq(0,X13)
& $less(X13,X21) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12 ) )
& $lesseq(0,X12)
& $less(X12,n1) )
<=> mem(int,t2tb1(X12),t2tb(X0)) )
& $lesseq(0,X21)
& $lesseq(0,X10)
& partial_solution1(X21,X24)
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X15)) ) )
& ( n1 = $sum(X21,cardinal1(int,t2tb(X0))) )
& ! [X12: $int] :
( $lesseq(0,X12)
=> ( ! [X13: $int] :
( ( $less(X13,X21)
& $lesseq(0,X13) )
=> ( tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13) ) )
<=> ~ mem(int,t2tb1(X12),t2tb(X22)) ) ) )
=> ( ~ is_empty(int,t2tb(X0))
=> ! [X25: $int,X28: $int,X27: map_int_lpmap_int_intrp,X8: $int,X26: set_int,X29: map_int_int] :
( ( ! [X13: $int,X12: $int] :
( mem(int,t2tb1(X12),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
=> ( mem(int,t2tb1(X13),t2tb(X26))
=> $less(X12,X13) ) )
& partial_solution1(X28,X29)
& eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X27),X10)
& ( $difference(X8,X10) = X25 )
& ( X21 = X28 )
& ! [X20: map_int_int] :
( ( mem(int,get(int,int,t2tb2(X20),t2tb1(X28)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)),t2tb(X26)))
& eq_prefix1(int,t2tb2(X29),t2tb2(X20),X28)
& partial_solution1(n1,X20) )
<=> ? [X12: $int] :
( $lesseq(X10,X12)
& eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X27),t2tb1(X12)),n1)
& $less(X12,X8) ) )
& sorted1(X27,X10,X8)
& $lesseq(0,$difference(X8,X10))
& subset(int,t2tb(X26),diff(int,diff(int,t2tb(X0),t2tb(X15)),t2tb(X22)))
& eq_prefix1(int,t2tb2(X24),t2tb2(X29),X28) )
=> ( ~ is_empty(int,t2tb(X26))
=> ! [X30: map_int_int] :
( ( tb2t2(set1(int,int,t2tb2(X29),t2tb1(X28),t2tb1(min_elt1(X26)))) = X30 )
=> ! [X31: $int] :
( ( $sum(X28,1) = X31 )
=> ! [X12: $int] :
( mem(int,t2tb1(X12),remove(int,t2tb1(min_elt1(X26)),t2tb(X0)))
=> ! [X13: $int] :
( ( $lesseq(0,X13)
& $less(X13,X31) )
=> ( tb2t1(get(int,int,t2tb2(X30),t2tb1(X13))) != X12 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f350,plain,
! [X22: $int] :
( mem(int,t2tb1(X22),t2tb(sK4))
| $less(sK18(X22),sK2)
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(cnf_transformation,[],[f249]) ).
tff(f4343,plain,
( spl59_383
| ~ spl59_31
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4305,f4252,f720,f4340]) ).
tff(f4340,plain,
( spl59_383
<=> ( sF40 = remove(int,sF43,sF39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_383])]) ).
tff(f720,plain,
( spl59_31
<=> ( remove(int,sF38,sF39) = sF40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_31])]) ).
tff(f4305,plain,
( ( sF40 = remove(int,sF43,sF39) )
| ~ spl59_31
| ~ spl59_377 ),
inference(superposition,[],[f722,f4254]) ).
tff(f722,plain,
( ( remove(int,sF38,sF39) = sF40 )
| ~ spl59_31 ),
inference(avatar_component_clause,[],[f720]) ).
tff(f4337,plain,
( ~ spl59_382
| spl59_108
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4307,f4252,f1246,f4334]) ).
tff(f4334,plain,
( spl59_382
<=> mem(int,sF43,sF40) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_382])]) ).
tff(f1246,plain,
( spl59_108
<=> mem(int,sF38,sF40) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_108])]) ).
tff(f4307,plain,
( ~ mem(int,sF43,sF40)
| spl59_108
| ~ spl59_377 ),
inference(superposition,[],[f1248,f4254]) ).
tff(f1248,plain,
( ~ mem(int,sF38,sF40)
| spl59_108 ),
inference(avatar_component_clause,[],[f1246]) ).
tff(f4332,plain,
( ~ spl59_381
| spl59_145
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4310,f4252,f1511,f4329]) ).
tff(f4329,plain,
( spl59_381
<=> mem(int,get(int,int,sF54,sF43),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_381])]) ).
tff(f1511,plain,
( spl59_145
<=> mem(int,get(int,int,sF54,sF38),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_145])]) ).
tff(f4310,plain,
( ~ mem(int,get(int,int,sF54,sF43),sF39)
| spl59_145
| ~ spl59_377 ),
inference(superposition,[],[f1513,f4254]) ).
tff(f1513,plain,
( ~ mem(int,get(int,int,sF54,sF38),sF39)
| spl59_145 ),
inference(avatar_component_clause,[],[f1511]) ).
tff(f4327,plain,
( spl59_122
| ~ spl59_119
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4308,f4252,f1328,f1341]) ).
tff(f1341,plain,
( spl59_122
<=> mem(int,sF43,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_122])]) ).
tff(f1328,plain,
( spl59_119
<=> mem(int,sF38,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_119])]) ).
tff(f4308,plain,
( mem(int,sF43,sF50)
| ~ spl59_119
| ~ spl59_377 ),
inference(superposition,[],[f1329,f4254]) ).
tff(f1329,plain,
( mem(int,sF38,sF50)
| ~ spl59_119 ),
inference(avatar_component_clause,[],[f1328]) ).
tff(f4325,plain,
( spl59_380
| ~ spl59_150
| ~ spl59_377 ),
inference(avatar_split_clause,[],[f4311,f4252,f1549,f4322]) ).
tff(f4322,plain,
( spl59_380
<=> ( sF32 = set1(int,int,sF42,sF43,sF43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_380])]) ).
tff(f1549,plain,
( spl59_150
<=> ( sF32 = set1(int,int,sF42,sF43,sF38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_150])]) ).
tff(f4311,plain,
( ( sF32 = set1(int,int,sF42,sF43,sF43) )
| ~ spl59_150
| ~ spl59_377 ),
inference(superposition,[],[f1551,f4254]) ).
tff(f1551,plain,
( ( sF32 = set1(int,int,sF42,sF43,sF38) )
| ~ spl59_150 ),
inference(avatar_component_clause,[],[f1549]) ).
tff(f4282,plain,
( spl59_314
| spl59_313
| spl59_106 ),
inference(avatar_split_clause,[],[f4281,f1231,f3287,f3291]) ).
tff(f3291,plain,
( spl59_314
<=> ( 0 = sK19(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_314])]) ).
tff(f3287,plain,
( spl59_313
<=> $less(0,sK19(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_313])]) ).
tff(f1231,plain,
( spl59_106
<=> $less(sK19(0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_106])]) ).
tff(f4281,plain,
( $less(0,sK19(0))
| ( 0 = sK19(0) )
| spl59_106 ),
inference(resolution,[],[f1233,f100]) ).
tff(f1233,plain,
( ~ $less(sK19(0),0)
| spl59_106 ),
inference(avatar_component_clause,[],[f1231]) ).
tff(f4279,plain,
( spl59_216
| spl59_104 ),
inference(avatar_split_clause,[],[f4278,f1214,f2174]) ).
tff(f2174,plain,
( spl59_216
<=> ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum(X0,sF56) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_216])]) ).
tff(f1214,plain,
( spl59_104
<=> mem(int,t2tb1(0),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_104])]) ).
tff(f4278,plain,
( ! [X0: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum(X0,sF56) )
| $less(X0,0)
| ~ $less(X0,sK7) )
| spl59_104 ),
inference(evaluation,[],[f4276]) ).
tff(f4276,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(0,X0),sF56) )
| $less(X0,0) )
| spl59_104 ),
inference(resolution,[],[f1216,f553]) ).
tff(f553,plain,
! [X26: $int,X25: $int] :
( mem(int,t2tb1(X25),sF46)
| $less(X26,0)
| ~ $less(X26,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X26))) != $sum($sum(X25,X26),sF56) )
| $less(X25,0) ),
inference(definition_folding,[],[f491,f524,f552,f539]) ).
tff(f539,plain,
t2tb2(sK0) = sF54,
introduced(function_definition,[new_symbols(definition,[sF54])]) ).
tff(f552,plain,
$uminus(sK7) = sF56,
introduced(function_definition,[new_symbols(definition,[sF56])]) ).
tff(f524,plain,
t2tb(sK6) = sF46,
introduced(function_definition,[new_symbols(definition,[sF46])]) ).
tff(f491,plain,
! [X26: $int,X25: $int] :
( ~ $less(X26,sK7)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK7)) )
| mem(int,t2tb1(X25),t2tb(sK6))
| $less(X25,0) ),
inference(definition_unfolding,[],[f347,f357,f357]) ).
tff(f347,plain,
! [X26: $int,X25: $int] :
( ~ $less(X26,sK2)
| $less(X26,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK2)) )
| mem(int,t2tb1(X25),t2tb(sK6))
| $less(X25,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f1216,plain,
( ~ mem(int,t2tb1(0),sF46)
| spl59_104 ),
inference(avatar_component_clause,[],[f1214]) ).
tff(f4275,plain,
( ~ spl59_379
| ~ spl59_106 ),
inference(avatar_split_clause,[],[f4261,f1231,f4272]) ).
tff(f4272,plain,
( spl59_379
<=> mem(int,t2tb1(sK19(0)),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_379])]) ).
tff(f4261,plain,
( ~ mem(int,t2tb1(sK19(0)),sF39)
| ~ spl59_106 ),
inference(resolution,[],[f1232,f547]) ).
tff(f547,plain,
! [X22: $int] :
( ~ $less(X22,0)
| ~ mem(int,t2tb1(X22),sF39) ),
inference(definition_folding,[],[f352,f514]) ).
tff(f352,plain,
! [X22: $int] :
( ~ $less(X22,0)
| ~ mem(int,t2tb1(X22),t2tb(sK4)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f1232,plain,
( $less(sK19(0),0)
| ~ spl59_106 ),
inference(avatar_component_clause,[],[f1231]) ).
tff(f4270,plain,
( spl59_378
| ~ spl59_106 ),
inference(avatar_split_clause,[],[f4260,f1231,f4267]) ).
tff(f4267,plain,
( spl59_378
<=> ( 0 = cardinal1(int,t2tb(below1(sK19(0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_378])]) ).
tff(f4260,plain,
( ( 0 = cardinal1(int,t2tb(below1(sK19(0)))) )
| ~ spl59_106 ),
inference(resolution,[],[f1232,f335]) ).
tff(f335,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(cnf_transformation,[],[f193]) ).
tff(f193,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) )
& ( $less(X0,0)
| ( cardinal1(int,t2tb(below1(X0))) = X0 ) ) ),
inference(ennf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
=> ( cardinal1(int,t2tb(below1(X0))) = X0 ) )
& ( $less(X0,0)
=> ( 0 = cardinal1(int,t2tb(below1(X0))) ) ) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X14: $int] :
( ( $less(X14,0)
=> ( 0 = cardinal1(int,t2tb(below1(X14))) ) )
& ( ~ $less(X14,0)
=> ( cardinal1(int,t2tb(below1(X14))) = X14 ) ) ),
inference(theory_normalization,[],[f51]) ).
tff(f51,axiom,
! [X14: $int] :
( ( ~ $lesseq(0,X14)
=> ( 0 = cardinal1(int,t2tb(below1(X14))) ) )
& ( $lesseq(0,X14)
=> ( cardinal1(int,t2tb(below1(X14))) = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f4265,plain,
( ~ spl59_104
| ~ spl59_106 ),
inference(avatar_split_clause,[],[f4264,f1231,f1214]) ).
tff(f4264,plain,
( ~ mem(int,t2tb1(0),sF46)
| ~ spl59_106 ),
inference(evaluation,[],[f4257]) ).
tff(f4257,plain,
( ~ mem(int,t2tb1(0),sF46)
| $less(0,0)
| ~ spl59_106 ),
inference(resolution,[],[f1232,f555]) ).
tff(f555,plain,
! [X25: $int] :
( ~ $less(sK19(X25),0)
| $less(X25,0)
| ~ mem(int,t2tb1(X25),sF46) ),
inference(definition_folding,[],[f345,f524]) ).
tff(f345,plain,
! [X25: $int] :
( ~ mem(int,t2tb1(X25),t2tb(sK6))
| ~ $less(sK19(X25),0)
| $less(X25,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f4256,plain,
( ~ spl59_303
| spl59_300
| ~ spl59_376 ),
inference(avatar_split_clause,[],[f4248,f4237,f3179,f3193]) ).
tff(f3193,plain,
( spl59_303
<=> ( 1 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_303])]) ).
tff(f3179,plain,
( spl59_300
<=> ( 1 = sF37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_300])]) ).
tff(f4248,plain,
( ( 1 != sK7 )
| spl59_300
| ~ spl59_376 ),
inference(superposition,[],[f3180,f4239]) ).
tff(f3180,plain,
( ( 1 != sF37 )
| spl59_300 ),
inference(avatar_component_clause,[],[f3179]) ).
tff(f4255,plain,
( spl59_377
| ~ spl59_1
| ~ spl59_21
| ~ spl59_376 ),
inference(avatar_split_clause,[],[f4250,f4237,f670,f570,f4252]) ).
tff(f4250,plain,
( ( sF38 = sF43 )
| ~ spl59_1
| ~ spl59_21
| ~ spl59_376 ),
inference(forward_demodulation,[],[f4243,f672]) ).
tff(f4243,plain,
( ( t2tb1(sK7) = sF38 )
| ~ spl59_1
| ~ spl59_376 ),
inference(superposition,[],[f572,f4239]) ).
tff(f4242,plain,
( spl59_209
| spl59_210
| spl59_142 ),
inference(avatar_split_clause,[],[f4241,f1498,f2089,f2085]) ).
tff(f2085,plain,
( spl59_209
<=> $less(sK7,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_209])]) ).
tff(f2089,plain,
( spl59_210
<=> ( sK7 = sK15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_210])]) ).
tff(f1498,plain,
( spl59_142
<=> $less(sK15,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_142])]) ).
tff(f4241,plain,
( ( sK7 = sK15 )
| $less(sK7,sK15)
| spl59_142 ),
inference(resolution,[],[f1500,f100]) ).
tff(f1500,plain,
( ~ $less(sK15,sK7)
| spl59_142 ),
inference(avatar_component_clause,[],[f1498]) ).
tff(f4240,plain,
( spl59_232
| spl59_376
| spl59_144 ),
inference(avatar_split_clause,[],[f4235,f1507,f4237,f2442]) ).
tff(f2442,plain,
( spl59_232
<=> $less(sK7,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_232])]) ).
tff(f1507,plain,
( spl59_144
<=> $less(sF37,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_144])]) ).
tff(f4235,plain,
( ( sK7 = sF37 )
| $less(sK7,sF37)
| spl59_144 ),
inference(resolution,[],[f1509,f100]) ).
tff(f1509,plain,
( ~ $less(sF37,sK7)
| spl59_144 ),
inference(avatar_component_clause,[],[f1507]) ).
tff(f4234,plain,
( ~ spl59_104
| spl59_313
| spl59_314 ),
inference(avatar_split_clause,[],[f4011,f3291,f3287,f1214]) ).
tff(f4011,plain,
( ( 0 = sK19(0) )
| ~ mem(int,t2tb1(0),sF46)
| $less(0,sK19(0)) ),
inference(interpreted_simplification,[],[f4010]) ).
tff(f4010,plain,
( $less(0,sK19(0))
| ( 0 = sK19(0) )
| ~ mem(int,t2tb1(0),sF46)
| $less(0,0) ),
inference(instantiation,[],[f1229]) ).
tff(f1229,plain,
! [X0: $int] :
( $less(0,sK19(X0))
| ( 0 = sK19(X0) )
| ~ mem(int,t2tb1(X0),sF46)
| $less(X0,0) ),
inference(resolution,[],[f555,f100]) ).
tff(f4230,plain,
( ~ spl59_336
| ~ spl59_147
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47 ),
inference(avatar_split_clause,[],[f3651,f800,f740,f615,f605,f1521,f3647]) ).
tff(f3647,plain,
( spl59_336
<=> $less(tb2t1(get(int,int,sF42,sF33)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_336])]) ).
tff(f605,plain,
( spl59_8
<=> partial_solution1(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_8])]) ).
tff(f740,plain,
( spl59_35
<=> ( t2tb2(sK8) = sF42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_35])]) ).
tff(f3651,plain,
( ~ $less(sK16,sK7)
| ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47 ),
inference(subsumption_resolution,[],[f3623,f802]) ).
tff(f3623,plain,
( ~ $less(sK16,sK7)
| $less(sK16,0)
| ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35 ),
inference(superposition,[],[f1700,f617]) ).
tff(f1700,plain,
( ! [X0: $int] :
( ~ $less(tb2t1(get(int,int,sF42,t2tb1(X0))),0)
| ~ $less(X0,sK7)
| $less(X0,0) )
| ~ spl59_8
| ~ spl59_35 ),
inference(forward_demodulation,[],[f1696,f742]) ).
tff(f742,plain,
( ( t2tb2(sK8) = sF42 )
| ~ spl59_35 ),
inference(avatar_component_clause,[],[f740]) ).
tff(f1696,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(tb2t1(get(int,int,t2tb2(sK8),t2tb1(X0))),0)
| ~ $less(X0,sK7) )
| ~ spl59_8 ),
inference(resolution,[],[f387,f607]) ).
tff(f607,plain,
( partial_solution1(sK7,sK8)
| ~ spl59_8 ),
inference(avatar_component_clause,[],[f605]) ).
tff(f387,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ~ partial_solution1(X1,X0)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),0)
| $less(X2,0)
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f255]) ).
tff(f255,plain,
! [X0: map_int_int,X1: $int] :
( ( ! [X2: $int] :
( ( $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),0)
& ! [X3: $int] :
( ( ( $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))))) )
& ( $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))))) )
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))) ) )
| $less(X3,0)
| ~ $less(X3,X2) ) )
| ~ $less(X2,X1)
| $less(X2,0) )
| ~ partial_solution1(X1,X0) )
& ( partial_solution1(X1,X0)
| ( ( ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),n1)
| $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),0)
| ( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK21(X0,X1))) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))))) = $sum(sK21(X0,X1),$uminus(sK22(X0,X1))) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))) ) )
& ~ $less(sK22(X0,X1),0)
& $less(sK22(X0,X1),sK21(X0,X1)) ) )
& $less(sK21(X0,X1),X1)
& ~ $less(sK21(X0,X1),0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f252,f254,f253]) ).
tff(f253,plain,
! [X0: map_int_int,X1: $int] :
( ? [X4: $int] :
( ( ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),n1)
| $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),0)
| ? [X5: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X5,$uminus(X4)) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X4,$uminus(X5)) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))) ) )
& ~ $less(X5,0)
& $less(X5,X4) ) )
& $less(X4,X1)
& ~ $less(X4,0) )
=> ( ( ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),n1)
| $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),0)
| ? [X5: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X5,$uminus(sK21(X0,X1))) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(sK21(X0,X1),$uminus(X5)) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))) ) )
& ~ $less(X5,0)
& $less(X5,sK21(X0,X1)) ) )
& $less(sK21(X0,X1),X1)
& ~ $less(sK21(X0,X1),0) ) ),
introduced(choice_axiom,[]) ).
tff(f254,plain,
! [X0: map_int_int,X1: $int] :
( ? [X5: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X5,$uminus(sK21(X0,X1))) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(sK21(X0,X1),$uminus(X5)) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))) ) )
& ~ $less(X5,0)
& $less(X5,sK21(X0,X1)) )
=> ( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK21(X0,X1))) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))))) = $sum(sK21(X0,X1),$uminus(sK22(X0,X1))) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(sK21(X0,X1)))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(sK22(X0,X1)))) ) )
& ~ $less(sK22(X0,X1),0)
& $less(sK22(X0,X1),sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f252,plain,
! [X0: map_int_int,X1: $int] :
( ( ! [X2: $int] :
( ( $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),0)
& ! [X3: $int] :
( ( ( $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))))) )
& ( $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))))) )
& ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))) ) )
| $less(X3,0)
| ~ $less(X3,X2) ) )
| ~ $less(X2,X1)
| $less(X2,0) )
| ~ partial_solution1(X1,X0) )
& ( partial_solution1(X1,X0)
| ? [X4: $int] :
( ( ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),n1)
| $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),0)
| ? [X5: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X5,$uminus(X4)) )
| ( $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))))) = $sum(X4,$uminus(X5)) )
| ( tb2t1(get(int,int,t2tb2(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb2(X0),t2tb1(X5))) ) )
& ~ $less(X5,0)
& $less(X5,X4) ) )
& $less(X4,X1)
& ~ $less(X4,0) ) ) ),
inference(rectify,[],[f251]) ).
tff(f251,plain,
! [X1: map_int_int,X0: $int] :
( ( ! [X2: $int] :
( ( $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)
& ! [X3: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) )
& ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) )
& ( tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) ) )
| $less(X3,0)
| ~ $less(X3,X2) ) )
| ~ $less(X2,X0)
| $less(X2,0) )
| ~ partial_solution1(X0,X1) )
& ( partial_solution1(X0,X1)
| ? [X2: $int] :
( ( ~ $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)
| $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)
| ? [X3: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(X2)) )
| ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3)) )
| ( tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) ) )
& ~ $less(X3,0)
& $less(X3,X2) ) )
& $less(X2,X0)
& ~ $less(X2,0) ) ) ),
inference(nnf_transformation,[],[f202]) ).
tff(f202,plain,
! [X1: map_int_int,X0: $int] :
( ! [X2: $int] :
( ( $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)
& ! [X3: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) )
& ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) )
& ( tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) ) )
| $less(X3,0)
| ~ $less(X3,X2) ) )
| ~ $less(X2,X0)
| $less(X2,0) )
<=> partial_solution1(X0,X1) ),
inference(flattening,[],[f201]) ).
tff(f201,plain,
! [X0: $int,X1: map_int_int] :
( ! [X2: $int] :
( ( ! [X3: $int] :
( ( ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) )
& ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) )
& ( tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) ) )
| $less(X3,0)
| ~ $less(X3,X2) )
& $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) )
| $less(X2,0)
| ~ $less(X2,X0) )
<=> partial_solution1(X0,X1) ),
inference(ennf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: $int,X1: map_int_int] :
( ! [X2: $int] :
( ( ~ $less(X2,0)
& $less(X2,X0) )
=> ( ! [X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X2) )
=> ( ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) )
& ( $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) )
& ( tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) ) ) )
& $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)
& ~ $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) ) )
<=> partial_solution1(X0,X1) ),
inference(rectify,[],[f91]) ).
tff(f91,plain,
! [X21: $int,X10: map_int_int] :
( partial_solution1(X21,X10)
<=> ! [X12: $int] :
( ( ~ $less(X12,0)
& $less(X12,X21) )
=> ( ~ $less(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),0)
& $less(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),n1)
& ! [X13: $int] :
( ( $less(X13,X12)
& ~ $less(X13,0) )
=> ( ( $sum(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),$uminus(tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))))) != $sum(X13,$uminus(X12)) )
& ( $sum(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),$uminus(tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))))) != $sum(X12,$uminus(X13)) )
& ( tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))) != tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))) ) ) ) ) ) ),
inference(theory_normalization,[],[f68]) ).
tff(f68,axiom,
! [X21: $int,X10: map_int_int] :
( partial_solution1(X21,X10)
<=> ! [X12: $int] :
( ( $lesseq(0,X12)
& $less(X12,X21) )
=> ( $lesseq(0,tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))))
& $less(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),n1)
& ! [X13: $int] :
( ( $less(X13,X12)
& $lesseq(0,X13) )
=> ( ( $difference(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),tb2t1(get(int,int,t2tb2(X10),t2tb1(X13)))) != $difference(X13,X12) )
& ( $difference(tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))),tb2t1(get(int,int,t2tb2(X10),t2tb1(X13)))) != $difference(X12,X13) )
& ( tb2t1(get(int,int,t2tb2(X10),t2tb1(X12))) != tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f4228,plain,
( ~ spl59_334
| ~ spl59_142
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140 ),
inference(avatar_split_clause,[],[f4227,f1490,f837,f740,f605,f1498,f3635]) ).
tff(f3635,plain,
( spl59_334
<=> $less(tb2t1(get(int,int,sF42,sF34)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_334])]) ).
tff(f4227,plain,
( ~ $less(sK15,sK7)
| ~ $less(tb2t1(get(int,int,sF42,sF34)),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140 ),
inference(subsumption_resolution,[],[f3622,f1491]) ).
tff(f3622,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF34)),0)
| $less(sK15,0)
| ~ $less(sK15,sK7)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53 ),
inference(superposition,[],[f1700,f839]) ).
tff(f4226,plain,
( spl59_350
| ~ spl59_142
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140 ),
inference(avatar_split_clause,[],[f4225,f1490,f837,f735,f630,f1498,f3805]) ).
tff(f3805,plain,
( spl59_350
<=> $less(tb2t1(get(int,int,sF54,sF34)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_350])]) ).
tff(f630,plain,
( spl59_13
<=> ( t2tb2(sK0) = sF54 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_13])]) ).
tff(f735,plain,
( spl59_34
<=> partial_solution1(sK7,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_34])]) ).
tff(f4225,plain,
( $less(tb2t1(get(int,int,sF54,sF34)),n1)
| ~ $less(sK15,sK7)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140 ),
inference(subsumption_resolution,[],[f3763,f1491]) ).
tff(f3763,plain,
( $less(tb2t1(get(int,int,sF54,sF34)),n1)
| $less(sK15,0)
| ~ $less(sK15,sK7)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53 ),
inference(superposition,[],[f1709,f839]) ).
tff(f1709,plain,
( ! [X0: $int] :
( $less(tb2t1(get(int,int,sF54,t2tb1(X0))),n1)
| ~ $less(X0,sK7)
| $less(X0,0) )
| ~ spl59_13
| ~ spl59_34 ),
inference(forward_demodulation,[],[f1705,f632]) ).
tff(f632,plain,
( ( t2tb2(sK0) = sF54 )
| ~ spl59_13 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f1705,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(tb2t1(get(int,int,t2tb2(sK0),t2tb1(X0))),n1)
| $less(X0,0) )
| ~ spl59_34 ),
inference(resolution,[],[f388,f737]) ).
tff(f737,plain,
( partial_solution1(sK7,sK0)
| ~ spl59_34 ),
inference(avatar_component_clause,[],[f735]) ).
tff(f388,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ~ partial_solution1(X1,X0)
| $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),n1)
| $less(X2,0)
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f255]) ).
tff(f4224,plain,
( ~ spl59_142
| ~ spl59_337
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140 ),
inference(avatar_split_clause,[],[f4223,f1490,f837,f735,f630,f3677,f1498]) ).
tff(f3677,plain,
( spl59_337
<=> $less(tb2t1(get(int,int,sF54,sF34)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_337])]) ).
tff(f4223,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF34)),0)
| ~ $less(sK15,sK7)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140 ),
inference(subsumption_resolution,[],[f3666,f1491]) ).
tff(f3666,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF34)),0)
| ~ $less(sK15,sK7)
| $less(sK15,0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53 ),
inference(superposition,[],[f1701,f839]) ).
tff(f1701,plain,
( ! [X0: $int] :
( ~ $less(tb2t1(get(int,int,sF54,t2tb1(X0))),0)
| ~ $less(X0,sK7)
| $less(X0,0) )
| ~ spl59_13
| ~ spl59_34 ),
inference(forward_demodulation,[],[f1697,f632]) ).
tff(f1697,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK7)
| ~ $less(tb2t1(get(int,int,t2tb2(sK0),t2tb1(X0))),0) )
| ~ spl59_34 ),
inference(resolution,[],[f387,f737]) ).
tff(f4222,plain,
( spl59_342
| ~ spl59_147
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47 ),
inference(avatar_split_clause,[],[f3731,f800,f740,f615,f605,f1521,f3727]) ).
tff(f3727,plain,
( spl59_342
<=> $less(tb2t1(get(int,int,sF42,sF33)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_342])]) ).
tff(f3731,plain,
( $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ $less(sK16,sK7)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47 ),
inference(subsumption_resolution,[],[f3722,f802]) ).
tff(f3722,plain,
( $less(sK16,0)
| ~ $less(sK16,sK7)
| $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35 ),
inference(superposition,[],[f1708,f617]) ).
tff(f1708,plain,
( ! [X0: $int] :
( $less(tb2t1(get(int,int,sF42,t2tb1(X0))),n1)
| $less(X0,0)
| ~ $less(X0,sK7) )
| ~ spl59_8
| ~ spl59_35 ),
inference(forward_demodulation,[],[f1704,f742]) ).
tff(f1704,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(tb2t1(get(int,int,t2tb2(sK8),t2tb1(X0))),n1)
| $less(X0,0) )
| ~ spl59_8 ),
inference(resolution,[],[f388,f607]) ).
tff(f4221,plain,
( ~ spl59_104
| spl59_375 ),
inference(avatar_split_clause,[],[f3563,f4219,f1214]) ).
tff(f4219,plain,
( spl59_375
<=> ! [X1: $int] :
( ~ $less(sK7,X1)
| $less(sK19(0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_375])]) ).
tff(f3563,plain,
! [X1: $int] :
( ~ $less(sK7,X1)
| ~ mem(int,t2tb1(0),sF46)
| $less(sK19(0),X1) ),
inference(interpreted_simplification,[],[f3562]) ).
tff(f3562,plain,
! [X1: $int] :
( ~ $less(sK7,X1)
| $less(0,0)
| $less(sK19(0),X1)
| ~ mem(int,t2tb1(0),sF46) ),
inference(instantiation,[],[f1208]) ).
tff(f1208,plain,
! [X0: $int,X1: $int] :
( ~ $less(sK7,X1)
| $less(X0,0)
| $less(sK19(X0),X1)
| ~ mem(int,t2tb1(X0),sF46) ),
inference(resolution,[],[f554,f99]) ).
tff(f554,plain,
! [X25: $int] :
( $less(sK19(X25),sK7)
| $less(X25,0)
| ~ mem(int,t2tb1(X25),sF46) ),
inference(definition_folding,[],[f492,f524]) ).
tff(f492,plain,
! [X25: $int] :
( ~ mem(int,t2tb1(X25),t2tb(sK6))
| $less(sK19(X25),sK7)
| $less(X25,0) ),
inference(definition_unfolding,[],[f346,f357]) ).
tff(f346,plain,
! [X25: $int] :
( ~ mem(int,t2tb1(X25),t2tb(sK6))
| $less(sK19(X25),sK2)
| $less(X25,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f4217,plain,
( spl59_345
| ~ spl59_142
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140 ),
inference(avatar_split_clause,[],[f3747,f1490,f837,f740,f605,f1498,f3750]) ).
tff(f3750,plain,
( spl59_345
<=> $less(tb2t1(get(int,int,sF42,sF34)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_345])]) ).
tff(f3747,plain,
( $less(tb2t1(get(int,int,sF42,sF34)),n1)
| ~ $less(sK15,sK7)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140 ),
inference(subsumption_resolution,[],[f3721,f1491]) ).
tff(f3721,plain,
( $less(sK15,0)
| ~ $less(sK15,sK7)
| $less(tb2t1(get(int,int,sF42,sF34)),n1)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53 ),
inference(superposition,[],[f1708,f839]) ).
tff(f4216,plain,
( ~ spl59_147
| ~ spl59_341
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47 ),
inference(avatar_split_clause,[],[f3700,f800,f735,f630,f615,f3704,f1521]) ).
tff(f3704,plain,
( spl59_341
<=> $less(tb2t1(get(int,int,sF54,sF33)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_341])]) ).
tff(f3700,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ $less(sK16,sK7)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47 ),
inference(subsumption_resolution,[],[f3667,f802]) ).
tff(f3667,plain,
( ~ $less(sK16,sK7)
| $less(sK16,0)
| ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34 ),
inference(superposition,[],[f1701,f617]) ).
tff(f4215,plain,
( ~ spl59_147
| spl59_346
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47 ),
inference(avatar_split_clause,[],[f3786,f800,f735,f630,f615,f3775,f1521]) ).
tff(f3775,plain,
( spl59_346
<=> $less(tb2t1(get(int,int,sF54,sF33)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_346])]) ).
tff(f3786,plain,
( ~ $less(sK16,sK7)
| $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47 ),
inference(subsumption_resolution,[],[f3764,f802]) ).
tff(f3764,plain,
( $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ $less(sK16,sK7)
| $less(sK16,0)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34 ),
inference(superposition,[],[f1709,f617]) ).
tff(f4214,plain,
( spl59_130
| spl59_362 ),
inference(avatar_contradiction_clause,[],[f4213]) ).
tff(f4213,plain,
( $false
| spl59_130
| spl59_362 ),
inference(subsumption_resolution,[],[f4212,f1386]) ).
tff(f1386,plain,
( ( 0 != cardinal1(int,sF50) )
| spl59_130 ),
inference(avatar_component_clause,[],[f1385]) ).
tff(f1385,plain,
( spl59_130
<=> ( 0 = cardinal1(int,sF50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_130])]) ).
tff(f4212,plain,
( ( 0 = cardinal1(int,sF50) )
| spl59_362 ),
inference(resolution,[],[f3916,f1077]) ).
tff(f1077,plain,
! [X0: uni,X1: ty] :
( mem(X1,choose(X1,X0),X0)
| ( 0 = cardinal1(X1,X0) ) ),
inference(forward_literal_rewriting,[],[f421,f452]) ).
tff(f452,plain,
! [X0: ty,X1: uni] :
( ~ is_empty(X0,X1)
| ( 0 = cardinal1(X0,X1) ) ),
inference(cnf_transformation,[],[f300]) ).
tff(f300,plain,
! [X0: ty,X1: uni] :
( ( is_empty(X0,X1)
| ( 0 != cardinal1(X0,X1) ) )
& ( ( 0 = cardinal1(X0,X1) )
| ~ is_empty(X0,X1) ) ),
inference(nnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: ty,X1: uni] :
( is_empty(X0,X1)
<=> ( 0 = cardinal1(X0,X1) ) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X0: ty,X10: uni] :
( ( 0 = cardinal1(X0,X10) )
<=> is_empty(X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f421,plain,
! [X0: uni,X1: ty] :
( mem(X1,choose(X1,X0),X0)
| is_empty(X1,X0) ),
inference(cnf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: uni,X1: ty] :
( mem(X1,choose(X1,X0),X0)
| is_empty(X1,X0) ),
inference(ennf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: uni,X1: ty] :
( ~ is_empty(X1,X0)
=> mem(X1,choose(X1,X0),X0) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X10: uni,X0: ty] :
( ~ is_empty(X0,X10)
=> mem(X0,choose(X0,X10),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3916,plain,
( ~ mem(int,choose(int,sF50),sF50)
| spl59_362 ),
inference(avatar_component_clause,[],[f3915]) ).
tff(f3915,plain,
( spl59_362
<=> mem(int,choose(int,sF50),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_362])]) ).
tff(f4201,plain,
( ~ spl59_374
| ~ spl59_205 ),
inference(avatar_split_clause,[],[f4192,f2057,f4198]) ).
tff(f4198,plain,
( spl59_374
<=> $less(sK14,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_374])]) ).
tff(f2057,plain,
( spl59_205
<=> $less(0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_205])]) ).
tff(f4192,plain,
( ~ $less(sK14,0)
| ~ spl59_205 ),
inference(interpreted_simplification,[],[f4191]) ).
tff(f4191,plain,
( ~ $less(sK14,0)
| $less(0,0)
| ~ spl59_205 ),
inference(instantiation,[],[f2093]) ).
tff(f2093,plain,
( ! [X0: $int] :
( ~ $less(sK14,X0)
| $less(0,X0) )
| ~ spl59_205 ),
inference(resolution,[],[f2059,f99]) ).
tff(f2059,plain,
( $less(0,sK14)
| ~ spl59_205 ),
inference(avatar_component_clause,[],[f2057]) ).
tff(f4190,plain,
( ~ spl59_362
| ~ spl59_24
| ~ spl59_361 ),
inference(avatar_split_clause,[],[f4187,f3911,f685,f3915]) ).
tff(f685,plain,
( spl59_24
<=> ( diff(int,sF49,sF50) = sF51 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_24])]) ).
tff(f3911,plain,
( spl59_361
<=> mem(int,choose(int,sF50),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_361])]) ).
tff(f4187,plain,
( ~ mem(int,choose(int,sF50),sF50)
| ~ spl59_24
| ~ spl59_361 ),
inference(resolution,[],[f3913,f1219]) ).
tff(f1219,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF51)
| ~ mem(int,X0,sF50) )
| ~ spl59_24 ),
inference(superposition,[],[f332,f687]) ).
tff(f687,plain,
( ( diff(int,sF49,sF50) = sF51 )
| ~ spl59_24 ),
inference(avatar_component_clause,[],[f685]) ).
tff(f332,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( ~ mem(X1,X0,diff(X1,X2,X3))
| ~ mem(X1,X0,X3) ),
inference(cnf_transformation,[],[f235]) ).
tff(f235,plain,
! [X0: uni,X1: ty,X2: uni,X3: uni] :
( ( ( mem(X1,X0,X2)
& ~ mem(X1,X0,X3) )
| ~ mem(X1,X0,diff(X1,X2,X3)) )
& ( mem(X1,X0,diff(X1,X2,X3))
| ~ mem(X1,X0,X2)
| mem(X1,X0,X3) ) ),
inference(rectify,[],[f234]) ).
tff(f234,plain,
! [X3: uni,X2: ty,X0: uni,X1: uni] :
( ( ( mem(X2,X3,X0)
& ~ mem(X2,X3,X1) )
| ~ mem(X2,X3,diff(X2,X0,X1)) )
& ( mem(X2,X3,diff(X2,X0,X1))
| ~ mem(X2,X3,X0)
| mem(X2,X3,X1) ) ),
inference(flattening,[],[f233]) ).
tff(f233,plain,
! [X3: uni,X2: ty,X0: uni,X1: uni] :
( ( ( mem(X2,X3,X0)
& ~ mem(X2,X3,X1) )
| ~ mem(X2,X3,diff(X2,X0,X1)) )
& ( mem(X2,X3,diff(X2,X0,X1))
| ~ mem(X2,X3,X0)
| mem(X2,X3,X1) ) ),
inference(nnf_transformation,[],[f126]) ).
tff(f126,plain,
! [X3: uni,X2: ty,X0: uni,X1: uni] :
( ( mem(X2,X3,X0)
& ~ mem(X2,X3,X1) )
<=> mem(X2,X3,diff(X2,X0,X1)) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X8: uni,X9: uni,X0: ty,X1: uni] :
( mem(X0,X1,diff(X0,X8,X9))
<=> ( mem(X0,X1,X8)
& ~ mem(X0,X1,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3913,plain,
( mem(int,choose(int,sF50),sF51)
| ~ spl59_361 ),
inference(avatar_component_clause,[],[f3911]) ).
tff(f4174,plain,
( spl59_166
| spl59_328
| ~ spl59_21
| ~ spl59_142 ),
inference(avatar_split_clause,[],[f4173,f1498,f670,f3583,f1753]) ).
tff(f1753,plain,
( spl59_166
<=> $less(sK15,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_166])]) ).
tff(f4173,plain,
( ! [X0: set_int] :
( ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X0))
| mem(int,sF43,t2tb(succ1(X0)))
| $less(sK15,1) )
| ~ spl59_21
| ~ spl59_142 ),
inference(forward_demodulation,[],[f4170,f672]) ).
tff(f4170,plain,
( ! [X0: set_int] :
( ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X0))
| mem(int,t2tb1(sK7),t2tb(succ1(X0)))
| $less(sK15,1) )
| ~ spl59_142 ),
inference(resolution,[],[f2313,f565]) ).
tff(f2313,plain,
( ! [X0: $int] :
( ~ $less(sK7,X0)
| $less(sK15,X0) )
| ~ spl59_142 ),
inference(resolution,[],[f1499,f99]) ).
tff(f1499,plain,
( $less(sK15,sK7)
| ~ spl59_142 ),
inference(avatar_component_clause,[],[f1498]) ).
tff(f4154,plain,
( ~ spl59_373
| ~ spl59_11
| ~ spl59_364 ),
inference(avatar_split_clause,[],[f4142,f3938,f620,f4151]) ).
tff(f4151,plain,
( spl59_373
<=> mem(int,sK27(sF49,int),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_373])]) ).
tff(f620,plain,
( spl59_11
<=> ( diff(int,sF39,sF46) = sF47 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_11])]) ).
tff(f3938,plain,
( spl59_364
<=> mem(int,sK27(sF49,int),sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_364])]) ).
tff(f4142,plain,
( ~ mem(int,sK27(sF49,int),sF46)
| ~ spl59_11
| ~ spl59_364 ),
inference(resolution,[],[f3940,f1169]) ).
tff(f1169,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF47)
| ~ mem(int,X0,sF46) )
| ~ spl59_11 ),
inference(superposition,[],[f332,f622]) ).
tff(f622,plain,
( ( diff(int,sF39,sF46) = sF47 )
| ~ spl59_11 ),
inference(avatar_component_clause,[],[f620]) ).
tff(f3940,plain,
( mem(int,sK27(sF49,int),sF47)
| ~ spl59_364 ),
inference(avatar_component_clause,[],[f3938]) ).
tff(f4149,plain,
( spl59_372
| ~ spl59_11
| ~ spl59_364 ),
inference(avatar_split_clause,[],[f4143,f3938,f620,f4146]) ).
tff(f4146,plain,
( spl59_372
<=> mem(int,sK27(sF49,int),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_372])]) ).
tff(f4143,plain,
( mem(int,sK27(sF49,int),sF39)
| ~ spl59_11
| ~ spl59_364 ),
inference(resolution,[],[f3940,f1168]) ).
tff(f1168,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF47)
| mem(int,X0,sF39) )
| ~ spl59_11 ),
inference(superposition,[],[f333,f622]) ).
tff(f333,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( ~ mem(X1,X0,diff(X1,X2,X3))
| mem(X1,X0,X2) ),
inference(cnf_transformation,[],[f235]) ).
tff(f4127,plain,
( spl59_371
| ~ spl59_11
| ~ spl59_352 ),
inference(avatar_split_clause,[],[f4116,f3850,f620,f4124]) ).
tff(f4124,plain,
( spl59_371
<=> mem(int,choose(int,sF49),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_371])]) ).
tff(f3850,plain,
( spl59_352
<=> mem(int,choose(int,sF49),sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_352])]) ).
tff(f4116,plain,
( mem(int,choose(int,sF49),sF39)
| ~ spl59_11
| ~ spl59_352 ),
inference(resolution,[],[f3852,f1168]) ).
tff(f3852,plain,
( mem(int,choose(int,sF49),sF47)
| ~ spl59_352 ),
inference(avatar_component_clause,[],[f3850]) ).
tff(f4122,plain,
( ~ spl59_370
| ~ spl59_11
| ~ spl59_352 ),
inference(avatar_split_clause,[],[f4115,f3850,f620,f4119]) ).
tff(f4119,plain,
( spl59_370
<=> mem(int,choose(int,sF49),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_370])]) ).
tff(f4115,plain,
( ~ mem(int,choose(int,sF49),sF46)
| ~ spl59_11
| ~ spl59_352 ),
inference(resolution,[],[f3852,f1169]) ).
tff(f4097,plain,
( spl59_364
| ~ spl59_9
| spl59_238 ),
inference(avatar_split_clause,[],[f4096,f2494,f610,f3938]) ).
tff(f610,plain,
( spl59_9
<=> ( diff(int,sF47,sF48) = sF49 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_9])]) ).
tff(f2494,plain,
( spl59_238
<=> ( 0 = cardinal1(int,sF49) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_238])]) ).
tff(f4096,plain,
( mem(int,sK27(sF49,int),sF47)
| ~ spl59_9
| spl59_238 ),
inference(subsumption_resolution,[],[f4085,f2495]) ).
tff(f2495,plain,
( ( 0 != cardinal1(int,sF49) )
| spl59_238 ),
inference(avatar_component_clause,[],[f2494]) ).
tff(f4085,plain,
( mem(int,sK27(sF49,int),sF47)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_9 ),
inference(superposition,[],[f1184,f612]) ).
tff(f612,plain,
( ( diff(int,sF47,sF48) = sF49 )
| ~ spl59_9 ),
inference(avatar_component_clause,[],[f610]) ).
tff(f1184,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( 0 = cardinal1(X0,diff(X0,X1,X2)) )
| mem(X0,sK27(diff(X0,X1,X2),X0),X1) ),
inference(resolution,[],[f1078,f333]) ).
tff(f1078,plain,
! [X0: uni,X1: ty] :
( mem(X1,sK27(X0,X1),X0)
| ( 0 = cardinal1(X1,X0) ) ),
inference(forward_literal_rewriting,[],[f475,f452]) ).
tff(f475,plain,
! [X0: uni,X1: ty] :
( mem(X1,sK27(X0,X1),X0)
| is_empty(X1,X0) ),
inference(cnf_transformation,[],[f318]) ).
tff(f318,plain,
! [X0: uni,X1: ty] :
( ( ~ is_empty(X1,X0)
| ! [X2: uni] : ~ mem(X1,X2,X0) )
& ( ( sort1(X1,sK27(X0,X1))
& mem(X1,sK27(X0,X1),X0) )
| is_empty(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f200,f317]) ).
tff(f317,plain,
! [X0: uni,X1: ty] :
( ? [X3: uni] :
( sort1(X1,X3)
& mem(X1,X3,X0) )
=> ( sort1(X1,sK27(X0,X1))
& mem(X1,sK27(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f200,plain,
! [X0: uni,X1: ty] :
( ( ~ is_empty(X1,X0)
| ! [X2: uni] : ~ mem(X1,X2,X0) )
& ( ? [X3: uni] :
( sort1(X1,X3)
& mem(X1,X3,X0) )
| is_empty(X1,X0) ) ),
inference(ennf_transformation,[],[f166]) ).
tff(f166,plain,
! [X1: ty,X0: uni] :
( ( ! [X3: uni] :
( sort1(X1,X3)
=> ~ mem(X1,X3,X0) )
=> is_empty(X1,X0) )
& ( is_empty(X1,X0)
=> ! [X2: uni] : ~ mem(X1,X2,X0) ) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X10: uni,X0: ty] :
( ( is_empty(X0,X10)
=> ! [X1: uni] : ~ mem(X0,X1,X10) )
& ( ! [X1: uni] :
( sort1(X0,X1)
=> ~ mem(X0,X1,X10) )
=> is_empty(X0,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f4072,plain,
( ~ spl59_272
| ~ spl59_24
| ~ spl59_273 ),
inference(avatar_split_clause,[],[f4064,f2963,f685,f2959]) ).
tff(f2959,plain,
( spl59_272
<=> mem(int,sK27(sF49,int),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_272])]) ).
tff(f2963,plain,
( spl59_273
<=> mem(int,sK27(sF49,int),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_273])]) ).
tff(f4064,plain,
( ~ mem(int,sK27(sF49,int),sF50)
| ~ spl59_24
| ~ spl59_273 ),
inference(resolution,[],[f2965,f1219]) ).
tff(f2965,plain,
( mem(int,sK27(sF49,int),sF51)
| ~ spl59_273 ),
inference(avatar_component_clause,[],[f2963]) ).
tff(f4071,plain,
( spl59_369
| ~ spl59_24
| ~ spl59_273 ),
inference(avatar_split_clause,[],[f4065,f2963,f685,f4068]) ).
tff(f4068,plain,
( spl59_369
<=> mem(int,sK27(sF49,int),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_369])]) ).
tff(f4065,plain,
( mem(int,sK27(sF49,int),sF49)
| ~ spl59_24
| ~ spl59_273 ),
inference(resolution,[],[f2965,f1218]) ).
tff(f1218,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF51)
| mem(int,X0,sF49) )
| ~ spl59_24 ),
inference(superposition,[],[f333,f687]) ).
tff(f4063,plain,
( spl59_352
| ~ spl59_9
| spl59_238 ),
inference(avatar_split_clause,[],[f4062,f2494,f610,f3850]) ).
tff(f4062,plain,
( mem(int,choose(int,sF49),sF47)
| ~ spl59_9
| spl59_238 ),
inference(subsumption_resolution,[],[f4050,f2495]) ).
tff(f4050,plain,
( mem(int,choose(int,sF49),sF47)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_9 ),
inference(superposition,[],[f1146,f612]) ).
tff(f1146,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( 0 = cardinal1(X0,diff(X0,X1,X2)) )
| mem(X0,choose(X0,diff(X0,X1,X2)),X1) ),
inference(resolution,[],[f1077,f333]) ).
tff(f4049,plain,
( spl59_368
| ~ spl59_24
| ~ spl59_271 ),
inference(avatar_split_clause,[],[f4042,f2953,f685,f4046]) ).
tff(f4046,plain,
( spl59_368
<=> mem(int,choose(int,sF49),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_368])]) ).
tff(f2953,plain,
( spl59_271
<=> mem(int,choose(int,sF49),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_271])]) ).
tff(f4042,plain,
( mem(int,choose(int,sF49),sF49)
| ~ spl59_24
| ~ spl59_271 ),
inference(resolution,[],[f2955,f1218]) ).
tff(f2955,plain,
( mem(int,choose(int,sF49),sF51)
| ~ spl59_271 ),
inference(avatar_component_clause,[],[f2953]) ).
tff(f4044,plain,
( ~ spl59_270
| ~ spl59_24
| ~ spl59_271 ),
inference(avatar_split_clause,[],[f4041,f2953,f685,f2949]) ).
tff(f2949,plain,
( spl59_270
<=> mem(int,choose(int,sF49),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_270])]) ).
tff(f4041,plain,
( ~ mem(int,choose(int,sF49),sF50)
| ~ spl59_24
| ~ spl59_271 ),
inference(resolution,[],[f2955,f1219]) ).
tff(f4036,plain,
( ~ spl59_367
| ~ spl59_9
| ~ spl59_363 ),
inference(avatar_split_clause,[],[f4021,f3932,f610,f4033]) ).
tff(f4033,plain,
( spl59_367
<=> mem(int,sK27(sF50,int),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_367])]) ).
tff(f3932,plain,
( spl59_363
<=> mem(int,sK27(sF50,int),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_363])]) ).
tff(f4021,plain,
( ~ mem(int,sK27(sF50,int),sF48)
| ~ spl59_9
| ~ spl59_363 ),
inference(resolution,[],[f3934,f1160]) ).
tff(f1160,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF49)
| ~ mem(int,X0,sF48) )
| ~ spl59_9 ),
inference(superposition,[],[f332,f612]) ).
tff(f3934,plain,
( mem(int,sK27(sF50,int),sF49)
| ~ spl59_363 ),
inference(avatar_component_clause,[],[f3932]) ).
tff(f4031,plain,
( spl59_365
| spl59_366
| ~ spl59_24
| ~ spl59_363 ),
inference(avatar_split_clause,[],[f4020,f3932,f685,f4028,f4024]) ).
tff(f4024,plain,
( spl59_365
<=> mem(int,sK27(sF50,int),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_365])]) ).
tff(f4028,plain,
( spl59_366
<=> mem(int,sK27(sF50,int),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_366])]) ).
tff(f4020,plain,
( mem(int,sK27(sF50,int),sF51)
| mem(int,sK27(sF50,int),sF50)
| ~ spl59_24
| ~ spl59_363 ),
inference(resolution,[],[f3934,f1445]) ).
tff(f1445,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF49)
| mem(int,X0,sF51)
| mem(int,X0,sF50) )
| ~ spl59_24 ),
inference(superposition,[],[f331,f687]) ).
tff(f331,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( mem(X1,X0,diff(X1,X2,X3))
| ~ mem(X1,X0,X2)
| mem(X1,X0,X3) ),
inference(cnf_transformation,[],[f235]) ).
tff(f3975,plain,
( ~ spl59_359
| ~ spl59_6
| spl59_7
| ~ spl59_21
| ~ spl59_89
| spl59_358 ),
inference(avatar_split_clause,[],[f3974,f3888,f1089,f670,f600,f595,f3892]) ).
tff(f3892,plain,
( spl59_359
<=> mem(int,t2tb1(sK14),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_359])]) ).
tff(f595,plain,
( spl59_6
<=> ( t2tb(sK9) = sF50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_6])]) ).
tff(f3888,plain,
( spl59_358
<=> mem(int,sF43,t2tb(pred1(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_358])]) ).
tff(f3974,plain,
( ~ mem(int,t2tb1(sK14),sF50)
| ~ spl59_6
| spl59_7
| ~ spl59_21
| ~ spl59_89
| spl59_358 ),
inference(forward_demodulation,[],[f3973,f597]) ).
tff(f597,plain,
( ( t2tb(sK9) = sF50 )
| ~ spl59_6 ),
inference(avatar_component_clause,[],[f595]) ).
tff(f3973,plain,
( ~ mem(int,t2tb1(sK14),t2tb(sK9))
| spl59_7
| ~ spl59_21
| ~ spl59_89
| spl59_358 ),
inference(resolution,[],[f3890,f2383]) ).
tff(f3890,plain,
( ~ mem(int,sF43,t2tb(pred1(sK9)))
| spl59_358 ),
inference(avatar_component_clause,[],[f3888]) ).
tff(f3941,plain,
( spl59_364
| ~ spl59_97
| spl59_238 ),
inference(avatar_split_clause,[],[f3936,f2494,f1164,f3938]) ).
tff(f1164,plain,
( spl59_97
<=> subset(int,sF49,sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_97])]) ).
tff(f3936,plain,
( mem(int,sK27(sF49,int),sF47)
| ~ spl59_97
| spl59_238 ),
inference(subsumption_resolution,[],[f3921,f2495]) ).
tff(f3921,plain,
( mem(int,sK27(sF49,int),sF47)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_97 ),
inference(resolution,[],[f1315,f1166]) ).
tff(f1166,plain,
( subset(int,sF49,sF47)
| ~ spl59_97 ),
inference(avatar_component_clause,[],[f1164]) ).
tff(f1315,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ subset(X0,X1,X2)
| mem(X0,sK27(X1,X0),X2)
| ( 0 = cardinal1(X0,X1) ) ),
inference(resolution,[],[f458,f1078]) ).
tff(f458,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( ~ mem(X1,X3,X2)
| mem(X1,X3,X0)
| ~ subset(X1,X2,X0) ),
inference(cnf_transformation,[],[f303]) ).
tff(f303,plain,
! [X0: uni,X1: ty,X2: uni] :
( ( ! [X3: uni] :
( ~ mem(X1,X3,X2)
| mem(X1,X3,X0) )
| ~ subset(X1,X2,X0) )
& ( subset(X1,X2,X0)
| ( ~ mem(X1,sK26(X0,X1,X2),X0)
& sort1(X1,sK26(X0,X1,X2))
& mem(X1,sK26(X0,X1,X2),X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f301,f302]) ).
tff(f302,plain,
! [X0: uni,X1: ty,X2: uni] :
( ? [X4: uni] :
( ~ mem(X1,X4,X0)
& sort1(X1,X4)
& mem(X1,X4,X2) )
=> ( ~ mem(X1,sK26(X0,X1,X2),X0)
& sort1(X1,sK26(X0,X1,X2))
& mem(X1,sK26(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
tff(f301,plain,
! [X0: uni,X1: ty,X2: uni] :
( ( ! [X3: uni] :
( ~ mem(X1,X3,X2)
| mem(X1,X3,X0) )
| ~ subset(X1,X2,X0) )
& ( subset(X1,X2,X0)
| ? [X4: uni] :
( ~ mem(X1,X4,X0)
& sort1(X1,X4)
& mem(X1,X4,X2) ) ) ),
inference(rectify,[],[f185]) ).
tff(f185,plain,
! [X1: uni,X0: ty,X2: uni] :
( ( ! [X4: uni] :
( ~ mem(X0,X4,X2)
| mem(X0,X4,X1) )
| ~ subset(X0,X2,X1) )
& ( subset(X0,X2,X1)
| ? [X3: uni] :
( ~ mem(X0,X3,X1)
& sort1(X0,X3)
& mem(X0,X3,X2) ) ) ),
inference(flattening,[],[f184]) ).
tff(f184,plain,
! [X2: uni,X1: uni,X0: ty] :
( ( ! [X4: uni] :
( ~ mem(X0,X4,X2)
| mem(X0,X4,X1) )
| ~ subset(X0,X2,X1) )
& ( subset(X0,X2,X1)
| ? [X3: uni] :
( ~ mem(X0,X3,X1)
& mem(X0,X3,X2)
& sort1(X0,X3) ) ) ),
inference(ennf_transformation,[],[f162]) ).
tff(f162,plain,
! [X2: uni,X1: uni,X0: ty] :
( ( subset(X0,X2,X1)
=> ! [X4: uni] :
( mem(X0,X4,X2)
=> mem(X0,X4,X1) ) )
& ( ! [X3: uni] :
( sort1(X0,X3)
=> ( mem(X0,X3,X2)
=> mem(X0,X3,X1) ) )
=> subset(X0,X2,X1) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X0: ty,X9: uni,X8: uni] :
( ( ! [X1: uni] :
( sort1(X0,X1)
=> ( mem(X0,X1,X8)
=> mem(X0,X1,X9) ) )
=> subset(X0,X8,X9) )
& ( subset(X0,X8,X9)
=> ! [X1: uni] :
( mem(X0,X1,X8)
=> mem(X0,X1,X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3935,plain,
( spl59_363
| ~ spl59_48
| spl59_130 ),
inference(avatar_split_clause,[],[f3930,f1385,f805,f3932]) ).
tff(f805,plain,
( spl59_48
<=> subset(int,sF50,sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_48])]) ).
tff(f3930,plain,
( mem(int,sK27(sF50,int),sF49)
| ~ spl59_48
| spl59_130 ),
inference(subsumption_resolution,[],[f3922,f1386]) ).
tff(f3922,plain,
( mem(int,sK27(sF50,int),sF49)
| ( 0 = cardinal1(int,sF50) )
| ~ spl59_48 ),
inference(resolution,[],[f1315,f807]) ).
tff(f807,plain,
( subset(int,sF50,sF49)
| ~ spl59_48 ),
inference(avatar_component_clause,[],[f805]) ).
tff(f3918,plain,
( spl59_361
| spl59_362
| ~ spl59_24
| ~ spl59_353 ),
inference(avatar_split_clause,[],[f3902,f3856,f685,f3915,f3911]) ).
tff(f3856,plain,
( spl59_353
<=> mem(int,choose(int,sF50),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_353])]) ).
tff(f3902,plain,
( mem(int,choose(int,sF50),sF51)
| mem(int,choose(int,sF50),sF50)
| ~ spl59_24
| ~ spl59_353 ),
inference(resolution,[],[f3858,f1445]) ).
tff(f3858,plain,
( mem(int,choose(int,sF50),sF49)
| ~ spl59_353 ),
inference(avatar_component_clause,[],[f3856]) ).
tff(f3909,plain,
( ~ spl59_360
| ~ spl59_9
| ~ spl59_353 ),
inference(avatar_split_clause,[],[f3903,f3856,f610,f3906]) ).
tff(f3906,plain,
( spl59_360
<=> mem(int,choose(int,sF50),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_360])]) ).
tff(f3903,plain,
( ~ mem(int,choose(int,sF50),sF48)
| ~ spl59_9
| ~ spl59_353 ),
inference(resolution,[],[f3858,f1160]) ).
tff(f3900,plain,
( ~ spl59_79
| spl59_7
| ~ spl59_21
| ~ spl59_40
| ~ spl59_89
| spl59_351 ),
inference(avatar_split_clause,[],[f3899,f3816,f1089,f765,f670,f600,f1020]) ).
tff(f1020,plain,
( spl59_79
<=> mem(int,t2tb1(sK14),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_79])]) ).
tff(f765,plain,
( spl59_40
<=> ( t2tb(sK4) = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_40])]) ).
tff(f3816,plain,
( spl59_351
<=> mem(int,sF43,t2tb(pred1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_351])]) ).
tff(f3899,plain,
( ~ mem(int,t2tb1(sK14),sF39)
| spl59_7
| ~ spl59_21
| ~ spl59_40
| ~ spl59_89
| spl59_351 ),
inference(forward_demodulation,[],[f3898,f767]) ).
tff(f767,plain,
( ( t2tb(sK4) = sF39 )
| ~ spl59_40 ),
inference(avatar_component_clause,[],[f765]) ).
tff(f3898,plain,
( ~ mem(int,t2tb1(sK14),t2tb(sK4))
| spl59_7
| ~ spl59_21
| ~ spl59_89
| spl59_351 ),
inference(resolution,[],[f3818,f2383]) ).
tff(f3818,plain,
( ~ mem(int,sF43,t2tb(pred1(sK4)))
| spl59_351 ),
inference(avatar_component_clause,[],[f3816]) ).
tff(f3895,plain,
( ~ spl59_358
| spl59_359
| ~ spl59_6
| ~ spl59_21
| ~ spl59_89 ),
inference(avatar_split_clause,[],[f3886,f1089,f670,f595,f3892,f3888]) ).
tff(f3886,plain,
( ~ mem(int,sF43,t2tb(pred1(sK9)))
| mem(int,t2tb1(sK14),sF50)
| ~ spl59_6
| ~ spl59_21
| ~ spl59_89 ),
inference(forward_demodulation,[],[f3885,f672]) ).
tff(f3885,plain,
( ~ mem(int,t2tb1(sK7),t2tb(pred1(sK9)))
| mem(int,t2tb1(sK14),sF50)
| ~ spl59_6
| ~ spl59_89 ),
inference(superposition,[],[f2341,f1091]) ).
tff(f2341,plain,
( ! [X0: $int] :
( mem(int,t2tb1($sum(X0,1)),sF50)
| ~ mem(int,t2tb1(X0),t2tb(pred1(sK9))) )
| ~ spl59_6 ),
inference(superposition,[],[f406,f597]) ).
tff(f406,plain,
! [X0: set_int,X1: $int] :
( mem(int,t2tb1($sum(X1,1)),t2tb(X0))
| ~ mem(int,t2tb1(X1),t2tb(pred1(X0))) ),
inference(cnf_transformation,[],[f266]) ).
tff(f3881,plain,
( spl59_356
| ~ spl59_357
| ~ spl59_21
| ~ spl59_23
| ~ spl59_89 ),
inference(avatar_split_clause,[],[f3872,f1089,f680,f670,f3878,f3874]) ).
tff(f3874,plain,
( spl59_356
<=> mem(int,t2tb1(sK14),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_356])]) ).
tff(f3878,plain,
( spl59_357
<=> mem(int,sF43,t2tb(pred1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_357])]) ).
tff(f680,plain,
( spl59_23
<=> ( t2tb(sK6) = sF46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_23])]) ).
tff(f3872,plain,
( ~ mem(int,sF43,t2tb(pred1(sK6)))
| mem(int,t2tb1(sK14),sF46)
| ~ spl59_21
| ~ spl59_23
| ~ spl59_89 ),
inference(forward_demodulation,[],[f3871,f672]) ).
tff(f3871,plain,
( ~ mem(int,t2tb1(sK7),t2tb(pred1(sK6)))
| mem(int,t2tb1(sK14),sF46)
| ~ spl59_23
| ~ spl59_89 ),
inference(superposition,[],[f2340,f1091]) ).
tff(f2340,plain,
( ! [X0: $int] :
( mem(int,t2tb1($sum(X0,1)),sF46)
| ~ mem(int,t2tb1(X0),t2tb(pred1(sK6))) )
| ~ spl59_23 ),
inference(superposition,[],[f406,f682]) ).
tff(f682,plain,
( ( t2tb(sK6) = sF46 )
| ~ spl59_23 ),
inference(avatar_component_clause,[],[f680]) ).
tff(f3869,plain,
( spl59_354
| spl59_355
| spl59_338 ),
inference(avatar_split_clause,[],[f3860,f3684,f3866,f3862]) ).
tff(f3862,plain,
( spl59_354
<=> ( 0 = $sum(sK19(0),sF56) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_354])]) ).
tff(f3866,plain,
( spl59_355
<=> $less(0,$sum(sK19(0),sF56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_355])]) ).
tff(f3684,plain,
( spl59_338
<=> $less($sum(sK19(0),sF56),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_338])]) ).
tff(f3860,plain,
( $less(0,$sum(sK19(0),sF56))
| ( 0 = $sum(sK19(0),sF56) )
| spl59_338 ),
inference(resolution,[],[f3686,f100]) ).
tff(f3686,plain,
( ~ $less($sum(sK19(0),sF56),0)
| spl59_338 ),
inference(avatar_component_clause,[],[f3684]) ).
tff(f3859,plain,
( spl59_353
| ~ spl59_48
| spl59_130 ),
inference(avatar_split_clause,[],[f3854,f1385,f805,f3856]) ).
tff(f3854,plain,
( mem(int,choose(int,sF50),sF49)
| ~ spl59_48
| spl59_130 ),
inference(subsumption_resolution,[],[f3840,f1386]) ).
tff(f3840,plain,
( ( 0 = cardinal1(int,sF50) )
| mem(int,choose(int,sF50),sF49)
| ~ spl59_48 ),
inference(resolution,[],[f1314,f807]) ).
tff(f1314,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ subset(X0,X1,X2)
| ( 0 = cardinal1(X0,X1) )
| mem(X0,choose(X0,X1),X2) ),
inference(resolution,[],[f458,f1077]) ).
tff(f3853,plain,
( spl59_352
| ~ spl59_97
| spl59_238 ),
inference(avatar_split_clause,[],[f3848,f2494,f1164,f3850]) ).
tff(f3848,plain,
( mem(int,choose(int,sF49),sF47)
| ~ spl59_97
| spl59_238 ),
inference(subsumption_resolution,[],[f3839,f2495]) ).
tff(f3839,plain,
( ( 0 = cardinal1(int,sF49) )
| mem(int,choose(int,sF49),sF47)
| ~ spl59_97 ),
inference(resolution,[],[f1314,f1166]) ).
tff(f3819,plain,
( ~ spl59_351
| spl59_79
| ~ spl59_21
| ~ spl59_40
| ~ spl59_89 ),
inference(avatar_split_clause,[],[f3814,f1089,f765,f670,f1020,f3816]) ).
tff(f3814,plain,
( mem(int,t2tb1(sK14),sF39)
| ~ mem(int,sF43,t2tb(pred1(sK4)))
| ~ spl59_21
| ~ spl59_40
| ~ spl59_89 ),
inference(forward_demodulation,[],[f3813,f672]) ).
tff(f3813,plain,
( mem(int,t2tb1(sK14),sF39)
| ~ mem(int,t2tb1(sK7),t2tb(pred1(sK4)))
| ~ spl59_40
| ~ spl59_89 ),
inference(superposition,[],[f2339,f1091]) ).
tff(f2339,plain,
( ! [X0: $int] :
( mem(int,t2tb1($sum(X0,1)),sF39)
| ~ mem(int,t2tb1(X0),t2tb(pred1(sK4))) )
| ~ spl59_40 ),
inference(superposition,[],[f406,f767]) ).
tff(f3808,plain,
( spl59_350
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(avatar_split_clause,[],[f3803,f1498,f1490,f837,f735,f630,f3805]) ).
tff(f3803,plain,
( $less(tb2t1(get(int,int,sF54,sF34)),n1)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3802,f1491]) ).
tff(f3802,plain,
( $less(tb2t1(get(int,int,sF54,sF34)),n1)
| $less(sK15,0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3763,f1499]) ).
tff(f3801,plain,
( ~ spl59_144
| spl59_349
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34
| spl59_143 ),
inference(avatar_split_clause,[],[f3796,f1503,f735,f630,f570,f3798,f1507]) ).
tff(f3798,plain,
( spl59_349
<=> $less(tb2t1(get(int,int,sF54,sF38)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_349])]) ).
tff(f3796,plain,
( $less(tb2t1(get(int,int,sF54,sF38)),n1)
| ~ $less(sF37,sK7)
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34
| spl59_143 ),
inference(subsumption_resolution,[],[f3765,f1504]) ).
tff(f3765,plain,
( ~ $less(sF37,sK7)
| $less(sF37,0)
| $less(tb2t1(get(int,int,sF54,sF38)),n1)
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34 ),
inference(superposition,[],[f1709,f572]) ).
tff(f3795,plain,
( spl59_348
| ~ spl59_13
| ~ spl59_34
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f3790,f1049,f735,f630,f3792]) ).
tff(f3792,plain,
( spl59_348
<=> $less(tb2t1(get(int,int,sF54,t2tb1(0))),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_348])]) ).
tff(f3790,plain,
( $less(tb2t1(get(int,int,sF54,t2tb1(0))),n1)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f3757,f1051]) ).
tff(f3757,plain,
( $less(tb2t1(get(int,int,sF54,t2tb1(0))),n1)
| ~ $less(0,sK7)
| ~ spl59_13
| ~ spl59_34 ),
inference(interpreted_simplification,[],[f3756]) ).
tff(f3756,plain,
( $less(tb2t1(get(int,int,sF54,t2tb1(0))),n1)
| ~ $less(0,sK7)
| $less(0,0)
| ~ spl59_13
| ~ spl59_34 ),
inference(instantiation,[],[f1709]) ).
tff(f3789,plain,
( spl59_346
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(avatar_split_clause,[],[f3788,f3197,f3171,f800,f735,f630,f615,f3775]) ).
tff(f3197,plain,
( spl59_304
<=> $less(1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_304])]) ).
tff(f3788,plain,
( $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(subsumption_resolution,[],[f3787,f3199]) ).
tff(f3199,plain,
( $less(1,sK7)
| ~ spl59_304 ),
inference(avatar_component_clause,[],[f3197]) ).
tff(f3787,plain,
( $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ $less(1,sK7)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298 ),
inference(forward_demodulation,[],[f3786,f3173]) ).
tff(f3173,plain,
( ( 1 = sK16 )
| ~ spl59_298 ),
inference(avatar_component_clause,[],[f3171]) ).
tff(f3785,plain,
( spl59_347
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| spl59_106
| ~ spl59_310 ),
inference(avatar_split_clause,[],[f3780,f3268,f1231,f1210,f735,f630,f3782]) ).
tff(f3782,plain,
( spl59_347
<=> $less($sum(sK19(0),sF56),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_347])]) ).
tff(f1210,plain,
( spl59_103
<=> $less(sK19(0),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_103])]) ).
tff(f3268,plain,
( spl59_310
<=> ( tb2t1(get(int,int,sF54,t2tb1(sK19(0)))) = $sum(sK19(0),sF56) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_310])]) ).
tff(f3780,plain,
( $less($sum(sK19(0),sF56),n1)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| spl59_106
| ~ spl59_310 ),
inference(subsumption_resolution,[],[f3779,f1233]) ).
tff(f3779,plain,
( $less($sum(sK19(0),sF56),n1)
| $less(sK19(0),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| ~ spl59_310 ),
inference(subsumption_resolution,[],[f3768,f1212]) ).
tff(f1212,plain,
( $less(sK19(0),sK7)
| ~ spl59_103 ),
inference(avatar_component_clause,[],[f1210]) ).
tff(f3768,plain,
( ~ $less(sK19(0),sK7)
| $less(sK19(0),0)
| $less($sum(sK19(0),sF56),n1)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_310 ),
inference(superposition,[],[f1709,f3270]) ).
tff(f3270,plain,
( ( tb2t1(get(int,int,sF54,t2tb1(sK19(0)))) = $sum(sK19(0),sF56) )
| ~ spl59_310 ),
inference(avatar_component_clause,[],[f3268]) ).
tff(f3778,plain,
( spl59_346
| ~ spl59_13
| ~ spl59_34
| ~ spl59_304
| ~ spl59_318 ),
inference(avatar_split_clause,[],[f3773,f3342,f3197,f735,f630,f3775]) ).
tff(f3342,plain,
( spl59_318
<=> ( sF33 = t2tb1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_318])]) ).
tff(f3773,plain,
( $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_304
| ~ spl59_318 ),
inference(subsumption_resolution,[],[f3770,f3199]) ).
tff(f3770,plain,
( $less(tb2t1(get(int,int,sF54,sF33)),n1)
| ~ $less(1,sK7)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_318 ),
inference(evaluation,[],[f3760]) ).
tff(f3760,plain,
( ~ $less(1,sK7)
| $less(tb2t1(get(int,int,sF54,sF33)),n1)
| $less(1,0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_318 ),
inference(superposition,[],[f1709,f3344]) ).
tff(f3344,plain,
( ( sF33 = t2tb1(1) )
| ~ spl59_318 ),
inference(avatar_component_clause,[],[f3342]) ).
tff(f3753,plain,
( spl59_345
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(avatar_split_clause,[],[f3748,f1498,f1490,f837,f740,f605,f3750]) ).
tff(f3748,plain,
( $less(tb2t1(get(int,int,sF42,sF34)),n1)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3747,f1499]) ).
tff(f3746,plain,
( spl59_344
| ~ spl59_8
| ~ spl59_35
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f3741,f1049,f740,f605,f3743]) ).
tff(f3743,plain,
( spl59_344
<=> $less(tb2t1(get(int,int,sF42,t2tb1(0))),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_344])]) ).
tff(f3741,plain,
( $less(tb2t1(get(int,int,sF42,t2tb1(0))),n1)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f3715,f1051]) ).
tff(f3715,plain,
( ~ $less(0,sK7)
| $less(tb2t1(get(int,int,sF42,t2tb1(0))),n1)
| ~ spl59_8
| ~ spl59_35 ),
inference(interpreted_simplification,[],[f3714]) ).
tff(f3714,plain,
( $less(tb2t1(get(int,int,sF42,t2tb1(0))),n1)
| $less(0,0)
| ~ $less(0,sK7)
| ~ spl59_8
| ~ spl59_35 ),
inference(instantiation,[],[f1708]) ).
tff(f3740,plain,
( spl59_343
| ~ spl59_144
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35
| spl59_143 ),
inference(avatar_split_clause,[],[f3735,f1503,f740,f605,f570,f1507,f3737]) ).
tff(f3737,plain,
( spl59_343
<=> $less(tb2t1(get(int,int,sF42,sF38)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_343])]) ).
tff(f3735,plain,
( ~ $less(sF37,sK7)
| $less(tb2t1(get(int,int,sF42,sF38)),n1)
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35
| spl59_143 ),
inference(subsumption_resolution,[],[f3723,f1504]) ).
tff(f3723,plain,
( $less(tb2t1(get(int,int,sF42,sF38)),n1)
| ~ $less(sF37,sK7)
| $less(sF37,0)
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35 ),
inference(superposition,[],[f1708,f572]) ).
tff(f3734,plain,
( spl59_342
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(avatar_split_clause,[],[f3733,f3197,f3171,f800,f740,f615,f605,f3727]) ).
tff(f3733,plain,
( $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(subsumption_resolution,[],[f3732,f3199]) ).
tff(f3732,plain,
( $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ $less(1,sK7)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298 ),
inference(forward_demodulation,[],[f3731,f3173]) ).
tff(f3730,plain,
( spl59_342
| ~ spl59_8
| ~ spl59_35
| ~ spl59_304
| ~ spl59_318 ),
inference(avatar_split_clause,[],[f3725,f3342,f3197,f740,f605,f3727]) ).
tff(f3725,plain,
( $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_304
| ~ spl59_318 ),
inference(subsumption_resolution,[],[f3724,f3199]) ).
tff(f3724,plain,
( ~ $less(1,sK7)
| $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_318 ),
inference(evaluation,[],[f3718]) ).
tff(f3718,plain,
( $less(1,0)
| $less(tb2t1(get(int,int,sF42,sF33)),n1)
| ~ $less(1,sK7)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_318 ),
inference(superposition,[],[f1708,f3344]) ).
tff(f3713,plain,
( ~ spl59_341
| ~ spl59_13
| ~ spl59_34
| ~ spl59_304
| ~ spl59_318 ),
inference(avatar_split_clause,[],[f3712,f3342,f3197,f735,f630,f3704]) ).
tff(f3712,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_304
| ~ spl59_318 ),
inference(subsumption_resolution,[],[f3673,f3199]) ).
tff(f3673,plain,
( ~ $less(1,sK7)
| ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_318 ),
inference(evaluation,[],[f3663]) ).
tff(f3663,plain,
( $less(1,0)
| ~ $less(1,sK7)
| ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_318 ),
inference(superposition,[],[f1701,f3344]) ).
tff(f3707,plain,
( ~ spl59_341
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(avatar_split_clause,[],[f3702,f3197,f3171,f800,f735,f630,f615,f3704]) ).
tff(f3702,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(subsumption_resolution,[],[f3701,f3199]) ).
tff(f3701,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF33)),0)
| ~ $less(1,sK7)
| ~ spl59_10
| ~ spl59_13
| ~ spl59_34
| spl59_47
| ~ spl59_298 ),
inference(forward_demodulation,[],[f3700,f3173]) ).
tff(f3699,plain,
( ~ spl59_144
| ~ spl59_340
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34
| spl59_143 ),
inference(avatar_split_clause,[],[f3694,f1503,f735,f630,f570,f3696,f1507]) ).
tff(f3696,plain,
( spl59_340
<=> $less(tb2t1(get(int,int,sF54,sF38)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_340])]) ).
tff(f3694,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF38)),0)
| ~ $less(sF37,sK7)
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34
| spl59_143 ),
inference(subsumption_resolution,[],[f3668,f1504]) ).
tff(f3668,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF38)),0)
| $less(sF37,0)
| ~ $less(sF37,sK7)
| ~ spl59_1
| ~ spl59_13
| ~ spl59_34 ),
inference(superposition,[],[f1701,f572]) ).
tff(f3693,plain,
( ~ spl59_339
| ~ spl59_13
| ~ spl59_34
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f3688,f1049,f735,f630,f3690]) ).
tff(f3690,plain,
( spl59_339
<=> $less(tb2t1(get(int,int,sF54,t2tb1(0))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_339])]) ).
tff(f3688,plain,
( ~ $less(tb2t1(get(int,int,sF54,t2tb1(0))),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f3661,f1051]) ).
tff(f3661,plain,
( ~ $less(tb2t1(get(int,int,sF54,t2tb1(0))),0)
| ~ $less(0,sK7)
| ~ spl59_13
| ~ spl59_34 ),
inference(interpreted_simplification,[],[f3660]) ).
tff(f3660,plain,
( ~ $less(tb2t1(get(int,int,sF54,t2tb1(0))),0)
| ~ $less(0,sK7)
| $less(0,0)
| ~ spl59_13
| ~ spl59_34 ),
inference(instantiation,[],[f1701]) ).
tff(f3687,plain,
( ~ spl59_338
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| spl59_106
| ~ spl59_310 ),
inference(avatar_split_clause,[],[f3682,f3268,f1231,f1210,f735,f630,f3684]) ).
tff(f3682,plain,
( ~ $less($sum(sK19(0),sF56),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| spl59_106
| ~ spl59_310 ),
inference(subsumption_resolution,[],[f3681,f1233]) ).
tff(f3681,plain,
( $less(sK19(0),0)
| ~ $less($sum(sK19(0),sF56),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_103
| ~ spl59_310 ),
inference(subsumption_resolution,[],[f3671,f1212]) ).
tff(f3671,plain,
( ~ $less(sK19(0),sK7)
| $less(sK19(0),0)
| ~ $less($sum(sK19(0),sF56),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_310 ),
inference(superposition,[],[f1701,f3270]) ).
tff(f3680,plain,
( ~ spl59_337
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(avatar_split_clause,[],[f3675,f1498,f1490,f837,f735,f630,f3677]) ).
tff(f3675,plain,
( ~ $less(tb2t1(get(int,int,sF54,sF34)),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3674,f1491]) ).
tff(f3674,plain,
( $less(sK15,0)
| ~ $less(tb2t1(get(int,int,sF54,sF34)),0)
| ~ spl59_13
| ~ spl59_34
| ~ spl59_53
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3666,f1499]) ).
tff(f3654,plain,
( ~ spl59_336
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(avatar_split_clause,[],[f3653,f3197,f3171,f800,f740,f615,f605,f3647]) ).
tff(f3653,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298
| ~ spl59_304 ),
inference(subsumption_resolution,[],[f3652,f3199]) ).
tff(f3652,plain,
( ~ $less(1,sK7)
| ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_10
| ~ spl59_35
| spl59_47
| ~ spl59_298 ),
inference(forward_demodulation,[],[f3651,f3173]) ).
tff(f3650,plain,
( ~ spl59_336
| ~ spl59_8
| ~ spl59_35
| ~ spl59_304
| ~ spl59_318 ),
inference(avatar_split_clause,[],[f3645,f3342,f3197,f740,f605,f3647]) ).
tff(f3645,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_304
| ~ spl59_318 ),
inference(subsumption_resolution,[],[f3625,f3199]) ).
tff(f3625,plain,
( ~ $less(1,sK7)
| ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_318 ),
inference(evaluation,[],[f3619]) ).
tff(f3619,plain,
( ~ $less(1,sK7)
| ~ $less(tb2t1(get(int,int,sF42,sF33)),0)
| $less(1,0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_318 ),
inference(superposition,[],[f1700,f3344]) ).
tff(f3644,plain,
( ~ spl59_335
| ~ spl59_8
| ~ spl59_35
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f3639,f1049,f740,f605,f3641]) ).
tff(f3641,plain,
( spl59_335
<=> $less(tb2t1(get(int,int,sF42,t2tb1(0))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_335])]) ).
tff(f3639,plain,
( ~ $less(tb2t1(get(int,int,sF42,t2tb1(0))),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f3617,f1051]) ).
tff(f3617,plain,
( ~ $less(tb2t1(get(int,int,sF42,t2tb1(0))),0)
| ~ $less(0,sK7)
| ~ spl59_8
| ~ spl59_35 ),
inference(interpreted_simplification,[],[f3616]) ).
tff(f3616,plain,
( ~ $less(tb2t1(get(int,int,sF42,t2tb1(0))),0)
| ~ $less(0,sK7)
| $less(0,0)
| ~ spl59_8
| ~ spl59_35 ),
inference(instantiation,[],[f1700]) ).
tff(f3638,plain,
( ~ spl59_334
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(avatar_split_clause,[],[f3633,f1498,f1490,f837,f740,f605,f3635]) ).
tff(f3633,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF34)),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| spl59_140
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3632,f1491]) ).
tff(f3632,plain,
( $less(sK15,0)
| ~ $less(tb2t1(get(int,int,sF42,sF34)),0)
| ~ spl59_8
| ~ spl59_35
| ~ spl59_53
| ~ spl59_142 ),
inference(subsumption_resolution,[],[f3622,f1499]) ).
tff(f3631,plain,
( ~ spl59_144
| ~ spl59_333
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35
| spl59_143 ),
inference(avatar_split_clause,[],[f3626,f1503,f740,f605,f570,f3628,f1507]) ).
tff(f3628,plain,
( spl59_333
<=> $less(tb2t1(get(int,int,sF42,sF38)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_333])]) ).
tff(f3626,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF38)),0)
| ~ $less(sF37,sK7)
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35
| spl59_143 ),
inference(subsumption_resolution,[],[f3624,f1504]) ).
tff(f3624,plain,
( ~ $less(tb2t1(get(int,int,sF42,sF38)),0)
| ~ $less(sF37,sK7)
| $less(sF37,0)
| ~ spl59_1
| ~ spl59_8
| ~ spl59_35 ),
inference(superposition,[],[f1700,f572]) ).
tff(f3615,plain,
( spl59_331
| ~ spl59_332
| ~ spl59_18
| ~ spl59_21
| ~ spl59_89 ),
inference(avatar_split_clause,[],[f3606,f1089,f670,f655,f3612,f3608]) ).
tff(f3606,plain,
( mem(int,t2tb1(sK14),sF48)
| ~ mem(int,sF43,t2tb(pred1(sK3)))
| ~ spl59_18
| ~ spl59_21
| ~ spl59_89 ),
inference(forward_demodulation,[],[f3605,f672]) ).
tff(f3605,plain,
( ~ mem(int,t2tb1(sK7),t2tb(pred1(sK3)))
| mem(int,t2tb1(sK14),sF48)
| ~ spl59_18
| ~ spl59_89 ),
inference(superposition,[],[f2338,f1091]) ).
tff(f2338,plain,
( ! [X0: $int] :
( mem(int,t2tb1($sum(X0,1)),sF48)
| ~ mem(int,t2tb1(X0),t2tb(pred1(sK3))) )
| ~ spl59_18 ),
inference(superposition,[],[f406,f657]) ).
tff(f3603,plain,
( spl59_330
| spl59_328
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f3599,f670,f3583,f3601]) ).
tff(f3601,plain,
( spl59_330
<=> ! [X0: $int] :
( $less(sK20(X0),1)
| ~ mem(int,t2tb1(X0),sF48)
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_330])]) ).
tff(f3599,plain,
( ! [X0: $int,X1: set_int] :
( $less(sK20(X0),1)
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1))
| mem(int,sF43,t2tb(succ1(X1)))
| $less(X0,0)
| ~ mem(int,t2tb1(X0),sF48) )
| ~ spl59_21 ),
inference(forward_demodulation,[],[f3590,f672]) ).
tff(f3590,plain,
! [X0: $int,X1: set_int] :
( $less(X0,0)
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1))
| ~ mem(int,t2tb1(X0),sF48)
| mem(int,t2tb1(sK7),t2tb(succ1(X1)))
| $less(sK20(X0),1) ),
inference(resolution,[],[f1287,f565]) ).
tff(f1287,plain,
! [X0: $int,X1: $int] :
( ~ $less(sK7,X1)
| $less(X0,0)
| $less(sK20(X0),X1)
| ~ mem(int,t2tb1(X0),sF48) ),
inference(resolution,[],[f563,f99]) ).
tff(f563,plain,
! [X28: $int] :
( $less(sK20(X28),sK7)
| ~ mem(int,t2tb1(X28),sF48)
| $less(X28,0) ),
inference(definition_folding,[],[f496,f526]) ).
tff(f526,plain,
t2tb(sK3) = sF48,
introduced(function_definition,[new_symbols(definition,[sF48])]) ).
tff(f496,plain,
! [X28: $int] :
( ~ mem(int,t2tb1(X28),t2tb(sK3))
| $less(sK20(X28),sK7)
| $less(X28,0) ),
inference(definition_unfolding,[],[f338,f357]) ).
tff(f338,plain,
! [X28: $int] :
( ~ mem(int,t2tb1(X28),t2tb(sK3))
| $less(sK20(X28),sK2)
| $less(X28,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f3597,plain,
( spl59_329
| ~ spl59_325
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f3593,f670,f3571,f3595]) ).
tff(f3595,plain,
( spl59_329
<=> ! [X0: $int] :
( $less(X0,0)
| $less(sK20(X0),n1)
| ~ mem(int,t2tb1(X0),sF48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_329])]) ).
tff(f3571,plain,
( spl59_325
<=> mem(int,sF43,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_325])]) ).
tff(f3593,plain,
( ! [X0: $int] :
( ~ mem(int,sF43,sF39)
| $less(X0,0)
| ~ mem(int,t2tb1(X0),sF48)
| $less(sK20(X0),n1) )
| ~ spl59_21 ),
inference(forward_demodulation,[],[f3592,f672]) ).
tff(f3592,plain,
! [X0: $int] :
( ~ mem(int,t2tb1(sK7),sF39)
| $less(sK20(X0),n1)
| ~ mem(int,t2tb1(X0),sF48)
| $less(X0,0) ),
inference(resolution,[],[f1287,f548]) ).
tff(f548,plain,
! [X22: $int] :
( $less(X22,n1)
| ~ mem(int,t2tb1(X22),sF39) ),
inference(definition_folding,[],[f351,f514]) ).
tff(f351,plain,
! [X22: $int] :
( $less(X22,n1)
| ~ mem(int,t2tb1(X22),t2tb(sK4)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f3585,plain,
( spl59_327
| spl59_328
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f3578,f670,f3583,f3580]) ).
tff(f3580,plain,
( spl59_327
<=> ! [X0: $int] :
( $less(sK19(X0),1)
| $less(X0,0)
| ~ mem(int,t2tb1(X0),sF46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_327])]) ).
tff(f3578,plain,
( ! [X0: $int,X1: set_int] :
( mem(int,sF43,t2tb(succ1(X1)))
| $less(sK19(X0),1)
| ~ mem(int,t2tb1(X0),sF46)
| $less(X0,0)
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1)) )
| ~ spl59_21 ),
inference(forward_demodulation,[],[f3565,f672]) ).
tff(f3565,plain,
! [X0: $int,X1: set_int] :
( $less(X0,0)
| mem(int,t2tb1(sK7),t2tb(succ1(X1)))
| ~ mem(int,t2tb1(X0),sF46)
| $less(sK19(X0),1)
| ~ mem(int,t2tb1($sum(sK7,-1)),t2tb(X1)) ),
inference(resolution,[],[f1208,f565]) ).
tff(f3577,plain,
( ~ spl59_325
| spl59_326
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f3569,f670,f3575,f3571]) ).
tff(f3575,plain,
( spl59_326
<=> ! [X0: $int] :
( $less(sK19(X0),n1)
| $less(X0,0)
| ~ mem(int,t2tb1(X0),sF46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_326])]) ).
tff(f3569,plain,
( ! [X0: $int] :
( ~ mem(int,sF43,sF39)
| $less(sK19(X0),n1)
| ~ mem(int,t2tb1(X0),sF46)
| $less(X0,0) )
| ~ spl59_21 ),
inference(forward_demodulation,[],[f3567,f672]) ).
tff(f3567,plain,
! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF46)
| $less(sK19(X0),n1)
| $less(X0,0)
| ~ mem(int,t2tb1(sK7),sF39) ),
inference(resolution,[],[f1208,f548]) ).
tff(f3499,plain,
( spl59_324
| ~ spl59_318 ),
inference(avatar_split_clause,[],[f3478,f3342,f3496]) ).
tff(f3496,plain,
( spl59_324
<=> ( 1 = tb2t1(sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_324])]) ).
tff(f3478,plain,
( ( 1 = tb2t1(sF33) )
| ~ spl59_318 ),
inference(superposition,[],[f426,f3344]) ).
tff(f426,plain,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X12: $int] : ( tb2t1(t2tb1(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3416,plain,
( spl59_323
| spl59_322
| ~ spl59_44
| ~ spl59_150 ),
inference(avatar_split_clause,[],[f3405,f1549,f785,f3408,f3412]) ).
tff(f3412,plain,
( spl59_323
<=> ( sF33 = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_323])]) ).
tff(f3408,plain,
( spl59_322
<=> ( sF34 = get(int,int,sF42,sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_322])]) ).
tff(f785,plain,
( spl59_44
<=> ( get(int,int,sF32,sF33) = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_44])]) ).
tff(f3405,plain,
( ( sF34 = get(int,int,sF42,sF33) )
| ( sF33 = sF43 )
| ~ spl59_44
| ~ spl59_150 ),
inference(superposition,[],[f787,f1838]) ).
tff(f1838,plain,
( ! [X0: uni] :
( ( get(int,int,sF42,X0) = get(int,int,sF32,X0) )
| ( sF43 = X0 ) )
| ~ spl59_150 ),
inference(subsumption_resolution,[],[f1837,f815]) ).
tff(f815,plain,
! [X0: uni] : sort1(int,X0),
inference(superposition,[],[f438,f329]) ).
tff(f329,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X13: uni] : ( t2tb1(tb2t1(X13)) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f438,plain,
! [X0: $int] : sort1(int,t2tb1(X0)),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: $int] : sort1(int,t2tb1(X0)),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X1: $int] : sort1(int,t2tb1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1837,plain,
( ! [X0: uni] :
( ( get(int,int,sF42,X0) = get(int,int,sF32,X0) )
| ( sF43 = X0 )
| ~ sort1(int,X0) )
| ~ spl59_150 ),
inference(subsumption_resolution,[],[f1835,f815]) ).
tff(f1835,plain,
( ! [X0: uni] :
( ( get(int,int,sF42,X0) = get(int,int,sF32,X0) )
| ~ sort1(int,sF43)
| ~ sort1(int,X0)
| ( sF43 = X0 ) )
| ~ spl59_150 ),
inference(superposition,[],[f486,f1551]) ).
tff(f486,plain,
! [X2: ty,X3: uni,X0: ty,X1: uni,X4: uni,X5: uni] :
( ( get(X0,X2,set1(X0,X2,X4,X3,X5),X1) = get(X0,X2,X4,X1) )
| ~ sort1(X2,X1)
| ( X1 = X3 )
| ~ sort1(X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tff(f324,plain,
! [X0: ty,X1: uni,X2: ty,X3: uni,X4: uni] :
( ~ sort1(X2,X1)
| ~ sort1(X2,X3)
| ! [X5: uni] :
( ( get(X0,X2,set1(X0,X2,X4,X3,X5),X1) = get(X0,X2,X4,X1) )
| ( X1 = X3 ) ) ),
inference(rectify,[],[f215]) ).
tff(f215,plain,
! [X4: ty,X2: uni,X3: ty,X0: uni,X1: uni] :
( ~ sort1(X3,X2)
| ~ sort1(X3,X0)
| ! [X5: uni] :
( ( get(X4,X3,set1(X4,X3,X1,X0,X5),X2) = get(X4,X3,X1,X2) )
| ( X0 = X2 ) ) ),
inference(flattening,[],[f214]) ).
tff(f214,plain,
! [X3: ty,X1: uni,X0: uni,X2: uni,X4: ty] :
( ! [X5: uni] :
( ( get(X4,X3,set1(X4,X3,X1,X0,X5),X2) = get(X4,X3,X1,X2) )
| ( X0 = X2 ) )
| ~ sort1(X3,X2)
| ~ sort1(X3,X0) ),
inference(ennf_transformation,[],[f157]) ).
tff(f157,plain,
! [X3: ty,X1: uni,X0: uni,X2: uni,X4: ty] :
( sort1(X3,X0)
=> ( sort1(X3,X2)
=> ! [X5: uni] :
( ( X0 != X2 )
=> ( get(X4,X3,set1(X4,X3,X1,X0,X5),X2) = get(X4,X3,X1,X2) ) ) ) ),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X17: uni,X16: uni,X18: uni,X0: ty,X15: ty] :
( sort1(X0,X17)
=> ( sort1(X0,X18)
=> ! [X19: uni] :
( ( X17 != X18 )
=> ( get(X15,X0,set1(X15,X0,X16,X17,X19),X18) = get(X15,X0,X16,X18) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f787,plain,
( ( get(int,int,sF32,sF33) = sF34 )
| ~ spl59_44 ),
inference(avatar_component_clause,[],[f785]) ).
tff(f3415,plain,
( spl59_322
| spl59_323
| ~ spl59_44
| ~ spl59_150 ),
inference(avatar_split_clause,[],[f3404,f1549,f785,f3412,f3408]) ).
tff(f3404,plain,
( ( sF33 = sF43 )
| ( sF34 = get(int,int,sF42,sF33) )
| ~ spl59_44
| ~ spl59_150 ),
inference(superposition,[],[f1838,f787]) ).
tff(f3401,plain,
~ spl59_321,
inference(avatar_split_clause,[],[f3385,f3398]) ).
tff(f3398,plain,
( spl59_321
<=> mem(int,t2tb1(-1),t2tb(succ1(below1(-2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_321])]) ).
tff(f3385,plain,
~ mem(int,t2tb1(-1),t2tb(succ1(below1(-2)))),
inference(interpreted_simplification,[],[f3384]) ).
tff(f3384,plain,
( $less($sum(-1,-1),-2)
| ~ mem(int,t2tb1(-1),t2tb(succ1(below1(-2)))) ),
inference(instantiation,[],[f1774]) ).
tff(f1774,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,-1),X1)
| ~ mem(int,t2tb1(X0),t2tb(succ1(below1(X1)))) ),
inference(resolution,[],[f423,f566]) ).
tff(f566,plain,
! [X0: set_int,X1: $int] :
( mem(int,t2tb1($sum(X1,-1)),t2tb(X0))
| ~ mem(int,t2tb1(X1),t2tb(succ1(X0))) ),
inference(evaluation,[],[f417]) ).
tff(f417,plain,
! [X0: set_int,X1: $int] :
( ~ mem(int,t2tb1(X1),t2tb(succ1(X0)))
| mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f423,plain,
! [X0: $int,X1: $int] :
( ~ mem(int,t2tb1(X0),t2tb(below1(X1)))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
tff(f277,plain,
! [X0: $int,X1: $int] :
( ( mem(int,t2tb1(X0),t2tb(below1(X1)))
| ~ $less(X0,X1)
| $less(X0,0) )
& ( ( $less(X0,X1)
& ~ $less(X0,0) )
| ~ mem(int,t2tb1(X0),t2tb(below1(X1))) ) ),
inference(flattening,[],[f276]) ).
tff(f276,plain,
! [X0: $int,X1: $int] :
( ( mem(int,t2tb1(X0),t2tb(below1(X1)))
| ~ $less(X0,X1)
| $less(X0,0) )
& ( ( $less(X0,X1)
& ~ $less(X0,0) )
| ~ mem(int,t2tb1(X0),t2tb(below1(X1))) ) ),
inference(nnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: $int,X1: $int] :
( mem(int,t2tb1(X0),t2tb(below1(X1)))
<=> ( $less(X0,X1)
& ~ $less(X0,0) ) ),
inference(rectify,[],[f87]) ).
tff(f87,plain,
! [X1: $int,X14: $int] :
( mem(int,t2tb1(X1),t2tb(below1(X14)))
<=> ( $less(X1,X14)
& ~ $less(X1,0) ) ),
inference(theory_normalization,[],[f50]) ).
tff(f50,axiom,
! [X1: $int,X14: $int] :
( mem(int,t2tb1(X1),t2tb(below1(X14)))
<=> ( $less(X1,X14)
& $lesseq(0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3358,plain,
( ~ spl59_320
| ~ spl59_6
| ~ spl59_26
| ~ spl59_302 ),
inference(avatar_split_clause,[],[f3351,f3186,f695,f595,f3355]) ).
tff(f3355,plain,
( spl59_320
<=> mem(int,t2tb1(1),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_320])]) ).
tff(f695,plain,
( spl59_26
<=> ( min_elt1(sK9) = sF37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_26])]) ).
tff(f3186,plain,
( spl59_302
<=> $less(1,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_302])]) ).
tff(f3351,plain,
( ~ mem(int,t2tb1(1),sF50)
| ~ spl59_6
| ~ spl59_26
| ~ spl59_302 ),
inference(resolution,[],[f3188,f1412]) ).
tff(f1412,plain,
( ! [X0: $int] :
( ~ $less(X0,sF37)
| ~ mem(int,t2tb1(X0),sF50) )
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1411,f597]) ).
tff(f1411,plain,
( ! [X0: $int] :
( ~ mem(int,t2tb1(X0),t2tb(sK9))
| ~ $less(X0,sF37) )
| ~ spl59_26 ),
inference(superposition,[],[f1409,f697]) ).
tff(f697,plain,
( ( min_elt1(sK9) = sF37 )
| ~ spl59_26 ),
inference(avatar_component_clause,[],[f695]) ).
tff(f1409,plain,
! [X0: set_int,X1: $int] :
( ~ $less(X1,min_elt1(X0))
| ~ mem(int,t2tb1(X1),t2tb(X0)) ),
inference(subsumption_resolution,[],[f451,f477]) ).
tff(f477,plain,
! [X2: uni,X0: uni,X1: ty] :
( ~ is_empty(X1,X0)
| ~ mem(X1,X2,X0) ),
inference(cnf_transformation,[],[f318]) ).
tff(f451,plain,
! [X0: set_int,X1: $int] :
( ~ $less(X1,min_elt1(X0))
| ~ mem(int,t2tb1(X1),t2tb(X0))
| is_empty(int,t2tb(X0)) ),
inference(cnf_transformation,[],[f195]) ).
tff(f195,plain,
! [X0: set_int] :
( is_empty(int,t2tb(X0))
| ! [X1: $int] :
( ~ mem(int,t2tb1(X1),t2tb(X0))
| ~ $less(X1,min_elt1(X0)) ) ),
inference(ennf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: set_int] :
( ~ is_empty(int,t2tb(X0))
=> ! [X1: $int] :
( mem(int,t2tb1(X1),t2tb(X0))
=> ~ $less(X1,min_elt1(X0)) ) ),
inference(rectify,[],[f84]) ).
tff(f84,plain,
! [X10: set_int] :
( ~ is_empty(int,t2tb(X10))
=> ! [X1: $int] :
( mem(int,t2tb1(X1),t2tb(X10))
=> ~ $less(X1,min_elt1(X10)) ) ),
inference(theory_normalization,[],[f47]) ).
tff(f47,axiom,
! [X10: set_int] :
( ~ is_empty(int,t2tb(X10))
=> ! [X1: $int] :
( mem(int,t2tb1(X1),t2tb(X10))
=> $lesseq(min_elt1(X10),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3188,plain,
( $less(1,sF37)
| ~ spl59_302 ),
inference(avatar_component_clause,[],[f3186]) ).
tff(f3350,plain,
( spl59_319
| ~ spl59_78
| ~ spl59_298 ),
inference(avatar_split_clause,[],[f3333,f3171,f1016,f3347]) ).
tff(f3347,plain,
( spl59_319
<=> $less(1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_319])]) ).
tff(f3333,plain,
( $less(1,n1)
| ~ spl59_78
| ~ spl59_298 ),
inference(superposition,[],[f1018,f3173]) ).
tff(f3345,plain,
( spl59_318
| ~ spl59_10
| ~ spl59_298 ),
inference(avatar_split_clause,[],[f3330,f3171,f615,f3342]) ).
tff(f3330,plain,
( ( sF33 = t2tb1(1) )
| ~ spl59_10
| ~ spl59_298 ),
inference(superposition,[],[f617,f3173]) ).
tff(f3340,plain,
( spl59_317
| ~ spl59_45
| ~ spl59_298 ),
inference(avatar_split_clause,[],[f3331,f3171,f790,f3337]) ).
tff(f3337,plain,
( spl59_317
<=> $less(1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_317])]) ).
tff(f3331,plain,
( $less(1,sK14)
| ~ spl59_45
| ~ spl59_298 ),
inference(superposition,[],[f792,f3173]) ).
tff(f3323,plain,
( spl59_207
| spl59_316
| spl59_152
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f3319,f570,f1579,f3321,f2072]) ).
tff(f2072,plain,
( spl59_207
<=> ( 0 = sF37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_207])]) ).
tff(f3321,plain,
( spl59_316
<=> ! [X0: set_int] : ~ mem(int,sF38,t2tb(pred1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_316])]) ).
tff(f1579,plain,
( spl59_152
<=> $less(0,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_152])]) ).
tff(f3319,plain,
( ! [X0: set_int] :
( $less(0,sF37)
| ( 0 = sF37 )
| ~ mem(int,sF38,t2tb(pred1(X0))) )
| ~ spl59_1 ),
inference(superposition,[],[f1685,f572]) ).
tff(f1685,plain,
! [X0: $int,X1: set_int] :
( ~ mem(int,t2tb1(X0),t2tb(pred1(X1)))
| $less(0,X0)
| ( 0 = X0 ) ),
inference(resolution,[],[f405,f100]) ).
tff(f405,plain,
! [X0: set_int,X1: $int] :
( ~ $less(X1,0)
| ~ mem(int,t2tb1(X1),t2tb(pred1(X0))) ),
inference(cnf_transformation,[],[f266]) ).
tff(f3305,plain,
( spl59_315
| ~ spl59_310 ),
inference(avatar_split_clause,[],[f3300,f3268,f3302]) ).
tff(f3302,plain,
( spl59_315
<=> ( get(int,int,sF54,t2tb1(sK19(0))) = t2tb1($sum(sK19(0),sF56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_315])]) ).
tff(f3300,plain,
( ( get(int,int,sF54,t2tb1(sK19(0))) = t2tb1($sum(sK19(0),sF56)) )
| ~ spl59_310 ),
inference(superposition,[],[f329,f3270]) ).
tff(f3294,plain,
( spl59_313
| spl59_314
| spl59_106 ),
inference(avatar_split_clause,[],[f3285,f1231,f3291,f3287]) ).
tff(f3285,plain,
( $less(0,sK19(0))
| ( 0 = sK19(0) )
| spl59_106 ),
inference(resolution,[],[f1233,f100]) ).
tff(f3282,plain,
( spl59_207
| spl59_152
| spl59_143 ),
inference(avatar_split_clause,[],[f3281,f1503,f1579,f2072]) ).
tff(f3281,plain,
( $less(0,sF37)
| ( 0 = sF37 )
| spl59_143 ),
inference(resolution,[],[f1504,f100]) ).
tff(f3280,plain,
( spl59_312
| spl59_143
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f2380,f570,f1503,f3278]) ).
tff(f3278,plain,
( spl59_312
<=> ! [X0: set_int] :
( mem(int,sF38,t2tb(pred1(X0)))
| ~ mem(int,t2tb1($sum(sF37,1)),t2tb(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_312])]) ).
tff(f2380,plain,
( ! [X0: set_int] :
( mem(int,sF38,t2tb(pred1(X0)))
| $less(sF37,0)
| ~ mem(int,t2tb1($sum(sF37,1)),t2tb(X0)) )
| ~ spl59_1 ),
inference(superposition,[],[f407,f572]) ).
tff(f3276,plain,
( spl59_259
| spl59_311
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f3061,f720,f3273,f2747]) ).
tff(f2747,plain,
( spl59_259
<=> ( 0 = cardinal1(int,sF40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_259])]) ).
tff(f3273,plain,
( spl59_311
<=> mem(int,t2tb1(max_elt1(tb2t(sF40))),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_311])]) ).
tff(f3061,plain,
( mem(int,t2tb1(max_elt1(tb2t(sF40))),sF39)
| ( 0 = cardinal1(int,sF40) )
| ~ spl59_31 ),
inference(resolution,[],[f2132,f1596]) ).
tff(f1596,plain,
( ! [X0: uni] :
( ~ mem(int,X0,sF40)
| mem(int,X0,sF39) )
| ~ spl59_31 ),
inference(subsumption_resolution,[],[f1595,f815]) ).
tff(f1595,plain,
( ! [X0: uni] :
( ~ sort1(int,X0)
| ~ mem(int,X0,sF40)
| mem(int,X0,sF39) )
| ~ spl59_31 ),
inference(subsumption_resolution,[],[f1592,f815]) ).
tff(f1592,plain,
( ! [X0: uni] :
( mem(int,X0,sF39)
| ~ sort1(int,sF38)
| ~ sort1(int,X0)
| ~ mem(int,X0,sF40) )
| ~ spl59_31 ),
inference(superposition,[],[f446,f722]) ).
tff(f446,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ~ mem(X0,X3,remove(X0,X2,X1))
| mem(X0,X3,X1)
| ~ sort1(X0,X3)
| ~ sort1(X0,X2) ),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( ~ sort1(X0,X2)
| ( ( ( ( X2 != X3 )
& mem(X0,X3,X1) )
| ~ mem(X0,X3,remove(X0,X2,X1)) )
& ( mem(X0,X3,remove(X0,X2,X1))
| ( X2 = X3 )
| ~ mem(X0,X3,X1) ) )
| ~ sort1(X0,X3) ),
inference(rectify,[],[f295]) ).
tff(f295,plain,
! [X2: ty,X1: uni,X0: uni,X3: uni] :
( ~ sort1(X2,X0)
| ( ( ( ( X0 != X3 )
& mem(X2,X3,X1) )
| ~ mem(X2,X3,remove(X2,X0,X1)) )
& ( mem(X2,X3,remove(X2,X0,X1))
| ( X0 = X3 )
| ~ mem(X2,X3,X1) ) )
| ~ sort1(X2,X3) ),
inference(flattening,[],[f294]) ).
tff(f294,plain,
! [X2: ty,X1: uni,X0: uni,X3: uni] :
( ~ sort1(X2,X0)
| ( ( ( ( X0 != X3 )
& mem(X2,X3,X1) )
| ~ mem(X2,X3,remove(X2,X0,X1)) )
& ( mem(X2,X3,remove(X2,X0,X1))
| ( X0 = X3 )
| ~ mem(X2,X3,X1) ) )
| ~ sort1(X2,X3) ),
inference(nnf_transformation,[],[f198]) ).
tff(f198,plain,
! [X2: ty,X1: uni,X0: uni,X3: uni] :
( ~ sort1(X2,X0)
| ( ( ( X0 != X3 )
& mem(X2,X3,X1) )
<=> mem(X2,X3,remove(X2,X0,X1)) )
| ~ sort1(X2,X3) ),
inference(flattening,[],[f197]) ).
tff(f197,plain,
! [X0: uni,X2: ty,X3: uni,X1: uni] :
( ( ( ( X0 != X3 )
& mem(X2,X3,X1) )
<=> mem(X2,X3,remove(X2,X0,X1)) )
| ~ sort1(X2,X0)
| ~ sort1(X2,X3) ),
inference(ennf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: uni,X2: ty,X3: uni,X1: uni] :
( sort1(X2,X3)
=> ( sort1(X2,X0)
=> ( ( ( X0 != X3 )
& mem(X2,X3,X1) )
<=> mem(X2,X3,remove(X2,X0,X1)) ) ) ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X7: uni,X10: uni,X0: ty,X1: uni] :
( sort1(X0,X1)
=> ( sort1(X0,X7)
=> ( mem(X0,X1,remove(X0,X7,X10))
<=> ( mem(X0,X1,X10)
& ( X1 != X7 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f2132,plain,
! [X0: uni] :
( mem(int,t2tb1(max_elt1(tb2t(X0))),X0)
| ( 0 = cardinal1(int,X0) ) ),
inference(superposition,[],[f2128,f420]) ).
tff(f420,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X13: uni] : ( t2tb(tb2t(X13)) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f2128,plain,
! [X0: set_int] :
( mem(int,t2tb1(max_elt1(X0)),t2tb(X0))
| ( 0 = cardinal1(int,t2tb(X0)) ) ),
inference(forward_literal_rewriting,[],[f478,f452]) ).
tff(f478,plain,
! [X0: set_int] :
( is_empty(int,t2tb(X0))
| mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) ),
inference(cnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: set_int] :
( is_empty(int,t2tb(X0))
| mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) ),
inference(ennf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: set_int] :
( ~ is_empty(int,t2tb(X0))
=> mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X10: set_int] :
( ~ is_empty(int,t2tb(X10))
=> mem(int,t2tb1(max_elt1(X10)),t2tb(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3271,plain,
( spl59_310
| ~ spl59_104 ),
inference(avatar_split_clause,[],[f1818,f1214,f3268]) ).
tff(f1818,plain,
( ~ mem(int,t2tb1(0),sF46)
| ( tb2t1(get(int,int,sF54,t2tb1(sK19(0)))) = $sum(sK19(0),sF56) ) ),
inference(evaluation,[],[f1816]) ).
tff(f1816,plain,
( ( tb2t1(get(int,int,sF54,t2tb1(sK19(0)))) = $sum($sum(0,sK19(0)),sF56) )
| ~ mem(int,t2tb1(0),sF46) ),
inference(interpreted_simplification,[],[f1815]) ).
tff(f1815,plain,
( ( tb2t1(get(int,int,sF54,t2tb1(sK19(0)))) = $sum($sum(0,sK19(0)),sF56) )
| ~ mem(int,t2tb1(0),sF46)
| $less(0,0) ),
inference(instantiation,[],[f556]) ).
tff(f556,plain,
! [X25: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),sF56) )
| ~ mem(int,t2tb1(X25),sF46)
| $less(X25,0) ),
inference(definition_folding,[],[f493,f552,f539,f524]) ).
tff(f493,plain,
! [X25: $int] :
( ~ mem(int,t2tb1(X25),t2tb(sK6))
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK7)) )
| $less(X25,0) ),
inference(definition_unfolding,[],[f344,f357]) ).
tff(f344,plain,
! [X25: $int] :
( ~ mem(int,t2tb1(X25),t2tb(sK6))
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK2)) )
| $less(X25,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f3266,plain,
( spl59_309
| spl59_259
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f2844,f720,f2747,f3263]) ).
tff(f3263,plain,
( spl59_309
<=> mem(int,t2tb1(min_elt1(tb2t(sF40))),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_309])]) ).
tff(f2844,plain,
( mem(int,t2tb1(min_elt1(tb2t(sF40))),sF39)
| ( 0 = cardinal1(int,sF40) )
| ~ spl59_31 ),
inference(resolution,[],[f1368,f1596]) ).
tff(f1368,plain,
! [X0: uni] :
( mem(int,t2tb1(min_elt1(tb2t(X0))),X0)
| ( 0 = cardinal1(int,X0) ) ),
inference(superposition,[],[f1144,f420]) ).
tff(f1144,plain,
! [X0: set_int] :
( mem(int,t2tb1(min_elt1(X0)),t2tb(X0))
| ( 0 = cardinal1(int,t2tb(X0)) ) ),
inference(forward_literal_rewriting,[],[f487,f452]) ).
tff(f487,plain,
! [X0: set_int] :
( is_empty(int,t2tb(X0))
| mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: set_int] :
( is_empty(int,t2tb(X0))
| mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) ),
inference(ennf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: set_int] :
( ~ is_empty(int,t2tb(X0))
=> mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X10: set_int] :
( ~ is_empty(int,t2tb(X10))
=> mem(int,t2tb1(min_elt1(X10)),t2tb(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3261,plain,
( spl59_308
| ~ spl59_175
| ~ spl59_300 ),
inference(avatar_split_clause,[],[f3244,f3179,f1848,f3258]) ).
tff(f1848,plain,
( spl59_175
<=> $less(sF37,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_175])]) ).
tff(f3244,plain,
( $less(1,sK5)
| ~ spl59_175
| ~ spl59_300 ),
inference(superposition,[],[f1850,f3181]) ).
tff(f3181,plain,
( ( 1 = sF37 )
| ~ spl59_300 ),
inference(avatar_component_clause,[],[f3179]) ).
tff(f1850,plain,
( $less(sF37,sK5)
| ~ spl59_175 ),
inference(avatar_component_clause,[],[f1848]) ).
tff(f3256,plain,
( spl59_307
| ~ spl59_1
| ~ spl59_300 ),
inference(avatar_split_clause,[],[f3239,f3179,f570,f3253]) ).
tff(f3253,plain,
( spl59_307
<=> ( sF38 = t2tb1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_307])]) ).
tff(f3239,plain,
( ( sF38 = t2tb1(1) )
| ~ spl59_1
| ~ spl59_300 ),
inference(superposition,[],[f572,f3181]) ).
tff(f3251,plain,
( spl59_152
| ~ spl59_300 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
tff(f3250,plain,
( $false
| spl59_152
| ~ spl59_300 ),
inference(evaluation,[],[f3242]) ).
tff(f3242,plain,
( ~ $less(0,1)
| spl59_152
| ~ spl59_300 ),
inference(superposition,[],[f1581,f3181]) ).
tff(f1581,plain,
( ~ $less(0,sF37)
| spl59_152 ),
inference(avatar_component_clause,[],[f1579]) ).
tff(f3249,plain,
( ~ spl59_153
| ~ spl59_300 ),
inference(avatar_contradiction_clause,[],[f3248]) ).
tff(f3248,plain,
( $false
| ~ spl59_153
| ~ spl59_300 ),
inference(evaluation,[],[f3243]) ).
tff(f3243,plain,
( $less(1,1)
| ~ spl59_153
| ~ spl59_300 ),
inference(superposition,[],[f1587,f3181]) ).
tff(f1587,plain,
( $less(sF37,1)
| ~ spl59_153 ),
inference(avatar_component_clause,[],[f1585]) ).
tff(f1585,plain,
( spl59_153
<=> $less(sF37,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_153])]) ).
tff(f3247,plain,
( ~ spl59_143
| ~ spl59_300 ),
inference(avatar_contradiction_clause,[],[f3246]) ).
tff(f3246,plain,
( $false
| ~ spl59_143
| ~ spl59_300 ),
inference(evaluation,[],[f3241]) ).
tff(f3241,plain,
( $less(1,0)
| ~ spl59_143
| ~ spl59_300 ),
inference(superposition,[],[f1505,f3181]) ).
tff(f1505,plain,
( $less(sF37,0)
| ~ spl59_143 ),
inference(avatar_component_clause,[],[f1503]) ).
tff(f3234,plain,
( spl59_306
| ~ spl59_53
| ~ spl59_294 ),
inference(avatar_split_clause,[],[f3228,f3153,f837,f3231]) ).
tff(f3231,plain,
( spl59_306
<=> ( sF34 = t2tb1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_306])]) ).
tff(f3153,plain,
( spl59_294
<=> ( 1 = sK15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_294])]) ).
tff(f3228,plain,
( ( sF34 = t2tb1(1) )
| ~ spl59_53
| ~ spl59_294 ),
inference(superposition,[],[f839,f3155]) ).
tff(f3155,plain,
( ( 1 = sK15 )
| ~ spl59_294 ),
inference(avatar_component_clause,[],[f3153]) ).
tff(f3229,plain,
( spl59_304
| ~ spl59_142
| ~ spl59_294 ),
inference(avatar_split_clause,[],[f3225,f3153,f1498,f3197]) ).
tff(f3225,plain,
( $less(1,sK7)
| ~ spl59_142
| ~ spl59_294 ),
inference(superposition,[],[f1499,f3155]) ).
tff(f3224,plain,
( spl59_156
| spl59_152 ),
inference(avatar_split_clause,[],[f3220,f1579,f1623]) ).
tff(f1623,plain,
( spl59_156
<=> ( 0 = cardinal1(int,t2tb(below1(sF37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_156])]) ).
tff(f3220,plain,
( ( 0 = cardinal1(int,t2tb(below1(sF37))) )
| spl59_152 ),
inference(resolution,[],[f3206,f1581]) ).
tff(f3206,plain,
! [X0: $int] :
( $less(0,X0)
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(subsumption_resolution,[],[f1613,f3204]) ).
tff(f3204,plain,
! [X0: $int] :
( ( 0 != X0 )
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(subsumption_resolution,[],[f1607,f335]) ).
tff(f1607,plain,
! [X0: $int] :
( $less(X0,0)
| ( 0 != X0 )
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(forward_literal_rewriting,[],[f1600,f452]) ).
tff(f1600,plain,
! [X0: $int] :
( is_empty(int,t2tb(below1(X0)))
| ( 0 != X0 )
| $less(X0,0) ),
inference(superposition,[],[f453,f334]) ).
tff(f334,plain,
! [X0: $int] :
( ( cardinal1(int,t2tb(below1(X0))) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f193]) ).
tff(f453,plain,
! [X0: ty,X1: uni] :
( ( 0 != cardinal1(X0,X1) )
| is_empty(X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
tff(f1613,plain,
! [X0: $int] :
( $less(0,X0)
| ( 0 = X0 )
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(resolution,[],[f335,f100]) ).
tff(f3203,plain,
( spl59_303
| spl59_304
| spl59_305
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f3148,f670,f3201,f3197,f3193]) ).
tff(f3201,plain,
( spl59_305
<=> ! [X0: set_int] : ~ mem(int,sF43,t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_305])]) ).
tff(f3148,plain,
( ! [X0: set_int] :
( ( 1 = sK7 )
| ~ mem(int,sF43,t2tb(succ1(X0)))
| $less(1,sK7) )
| ~ spl59_21 ),
inference(superposition,[],[f1101,f672]) ).
tff(f1101,plain,
! [X0: $int,X1: set_int] :
( ~ mem(int,t2tb1(X0),t2tb(succ1(X1)))
| ( 1 = X0 )
| $less(1,X0) ),
inference(resolution,[],[f418,f100]) ).
tff(f418,plain,
! [X0: set_int,X1: $int] :
( ~ $less(X1,1)
| ~ mem(int,t2tb1(X1),t2tb(succ1(X0))) ),
inference(cnf_transformation,[],[f275]) ).
tff(f3189,plain,
( spl59_300
| spl59_301
| spl59_302
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f3151,f570,f3186,f3183,f3179]) ).
tff(f3183,plain,
( spl59_301
<=> ! [X0: set_int] : ~ mem(int,sF38,t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_301])]) ).
tff(f3151,plain,
( ! [X0: set_int] :
( $less(1,sF37)
| ~ mem(int,sF38,t2tb(succ1(X0)))
| ( 1 = sF37 ) )
| ~ spl59_1 ),
inference(superposition,[],[f1101,f572]) ).
tff(f3177,plain,
( spl59_297
| spl59_298
| spl59_299
| ~ spl59_10 ),
inference(avatar_split_clause,[],[f3150,f615,f3175,f3171,f3167]) ).
tff(f3175,plain,
( spl59_299
<=> ! [X0: set_int] : ~ mem(int,sF33,t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_299])]) ).
tff(f3150,plain,
( ! [X0: set_int] :
( ~ mem(int,sF33,t2tb(succ1(X0)))
| $less(1,sK16)
| ( 1 = sK16 ) )
| ~ spl59_10 ),
inference(superposition,[],[f1101,f617]) ).
tff(f3163,plain,
( spl59_294
| spl59_295
| spl59_296
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f3149,f837,f3160,f3157,f3153]) ).
tff(f3157,plain,
( spl59_295
<=> ! [X0: set_int] : ~ mem(int,sF34,t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_295])]) ).
tff(f3160,plain,
( spl59_296
<=> $less(1,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_296])]) ).
tff(f3149,plain,
( ! [X0: set_int] :
( ~ mem(int,sF34,t2tb(succ1(X0)))
| ( 1 = sK15 )
| $less(1,sK15) )
| ~ spl59_53 ),
inference(superposition,[],[f1101,f839]) ).
tff(f3128,plain,
( spl59_292
| spl59_293
| spl59_265 ),
inference(avatar_split_clause,[],[f3119,f2835,f3125,f3121]) ).
tff(f3121,plain,
( spl59_292
<=> ( sF31 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_292])]) ).
tff(f3125,plain,
( spl59_293
<=> $less(-1,sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_293])]) ).
tff(f2835,plain,
( spl59_265
<=> $less(sF31,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_265])]) ).
tff(f3119,plain,
( ( sF31 = -1 )
| $less(-1,sF31)
| spl59_265 ),
inference(resolution,[],[f2837,f100]) ).
tff(f2837,plain,
( ~ $less(sF31,-1)
| spl59_265 ),
inference(avatar_component_clause,[],[f2835]) ).
tff(f3118,plain,
( spl59_240
| spl59_291
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f3063,f620,f3115,f2514]) ).
tff(f2514,plain,
( spl59_240
<=> ( 0 = cardinal1(int,sF47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_240])]) ).
tff(f3115,plain,
( spl59_291
<=> mem(int,t2tb1(max_elt1(tb2t(sF47))),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_291])]) ).
tff(f3063,plain,
( mem(int,t2tb1(max_elt1(tb2t(sF47))),sF39)
| ( 0 = cardinal1(int,sF47) )
| ~ spl59_11 ),
inference(resolution,[],[f2132,f1168]) ).
tff(f3113,plain,
( spl59_240
| ~ spl59_290
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f3062,f620,f3110,f2514]) ).
tff(f3110,plain,
( spl59_290
<=> mem(int,t2tb1(max_elt1(tb2t(sF47))),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_290])]) ).
tff(f3062,plain,
( ( 0 = cardinal1(int,sF47) )
| ~ mem(int,t2tb1(max_elt1(tb2t(sF47))),sF46)
| ~ spl59_11 ),
inference(resolution,[],[f2132,f1169]) ).
tff(f3100,plain,
( ~ spl59_289
| ~ spl59_9
| spl59_238 ),
inference(avatar_split_clause,[],[f3095,f2494,f610,f3097]) ).
tff(f3097,plain,
( spl59_289
<=> mem(int,t2tb1(max_elt1(tb2t(sF49))),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_289])]) ).
tff(f3095,plain,
( ~ mem(int,t2tb1(max_elt1(tb2t(sF49))),sF48)
| ~ spl59_9
| spl59_238 ),
inference(subsumption_resolution,[],[f3065,f2495]) ).
tff(f3065,plain,
( ~ mem(int,t2tb1(max_elt1(tb2t(sF49))),sF48)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_9 ),
inference(resolution,[],[f2132,f1160]) ).
tff(f3092,plain,
( spl59_287
| spl59_288
| ~ spl59_24
| spl59_238 ),
inference(avatar_split_clause,[],[f3083,f2494,f685,f3089,f3085]) ).
tff(f3085,plain,
( spl59_287
<=> mem(int,t2tb1(max_elt1(tb2t(sF49))),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_287])]) ).
tff(f3089,plain,
( spl59_288
<=> mem(int,t2tb1(max_elt1(tb2t(sF49))),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_288])]) ).
tff(f3083,plain,
( mem(int,t2tb1(max_elt1(tb2t(sF49))),sF51)
| mem(int,t2tb1(max_elt1(tb2t(sF49))),sF50)
| ~ spl59_24
| spl59_238 ),
inference(subsumption_resolution,[],[f3064,f2495]) ).
tff(f3064,plain,
( mem(int,t2tb1(max_elt1(tb2t(sF49))),sF50)
| mem(int,t2tb1(max_elt1(tb2t(sF49))),sF51)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_24 ),
inference(resolution,[],[f2132,f1445]) ).
tff(f3054,plain,
( spl59_286
| spl59_281 ),
inference(avatar_split_clause,[],[f3034,f3017,f3052]) ).
tff(f3052,plain,
( spl59_286
<=> ! [X0: set_int] : ~ mem(int,t2tb1(max_elt1(below1(1))),t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_286])]) ).
tff(f3017,plain,
( spl59_281
<=> ( 0 = cardinal1(int,t2tb(below1(1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_281])]) ).
tff(f3034,plain,
! [X0: set_int] :
( ( 0 = cardinal1(int,t2tb(below1(1))) )
| ~ mem(int,t2tb1(max_elt1(below1(1))),t2tb(succ1(X0))) ),
inference(resolution,[],[f2130,f418]) ).
tff(f2130,plain,
! [X0: $int] :
( $less(max_elt1(below1(X0)),X0)
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(resolution,[],[f2128,f423]) ).
tff(f3050,plain,
( ~ spl59_285
| spl59_156
| ~ spl59_6
| ~ spl59_26 ),
inference(avatar_split_clause,[],[f3037,f695,f595,f1623,f3047]) ).
tff(f3047,plain,
( spl59_285
<=> mem(int,t2tb1(max_elt1(below1(sF37))),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_285])]) ).
tff(f3037,plain,
( ~ mem(int,t2tb1(max_elt1(below1(sF37))),sF50)
| ( 0 = cardinal1(int,t2tb(below1(sF37))) )
| ~ spl59_6
| ~ spl59_26 ),
inference(resolution,[],[f2130,f1412]) ).
tff(f3045,plain,
( spl59_283
| spl59_181
| spl59_284 ),
inference(avatar_split_clause,[],[f3036,f3043,f1883,f3039]) ).
tff(f3039,plain,
( spl59_283
<=> $less(max_elt1(below1(sK10)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_283])]) ).
tff(f1883,plain,
( spl59_181
<=> ( 0 = cardinal1(int,t2tb(below1(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_181])]) ).
tff(f3043,plain,
( spl59_284
<=> ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(max_elt1(below1(sK10)))),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_284])]) ).
tff(f3036,plain,
! [X0: map_int_int] :
( ( 0 = cardinal1(int,t2tb(below1(sK10))) )
| ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(max_elt1(below1(sK10)))),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51)
| $less(max_elt1(below1(sK10)),sK5) ),
inference(resolution,[],[f2130,f536]) ).
tff(f536,plain,
! [X19: $int,X17: map_int_int] :
( ~ $less(X19,sK10)
| mem(int,get(int,int,t2tb2(X17),sF43),sF51)
| $less(X19,sK5)
| ~ eq_prefix1(int,t2tb2(X17),get(sF52,int,sF53,t2tb1(X19)),n1) ),
inference(definition_folding,[],[f365,f532,f531,f529,f528,f527,f526,f525,f524,f514,f520]) ).
tff(f520,plain,
t2tb1(sK7) = sF43,
introduced(function_definition,[new_symbols(definition,[sF43])]) ).
tff(f525,plain,
diff(int,sF39,sF46) = sF47,
introduced(function_definition,[new_symbols(definition,[sF47])]) ).
tff(f527,plain,
diff(int,sF47,sF48) = sF49,
introduced(function_definition,[new_symbols(definition,[sF49])]) ).
tff(f528,plain,
t2tb(sK9) = sF50,
introduced(function_definition,[new_symbols(definition,[sF50])]) ).
tff(f529,plain,
diff(int,sF49,sF50) = sF51,
introduced(function_definition,[new_symbols(definition,[sF51])]) ).
tff(f531,plain,
map(int,int) = sF52,
introduced(function_definition,[new_symbols(definition,[sF52])]) ).
tff(f532,plain,
t2tb3(sK11) = sF53,
introduced(function_definition,[new_symbols(definition,[sF53])]) ).
tff(f365,plain,
! [X19: $int,X17: map_int_int] :
( mem(int,get(int,int,t2tb2(X17),t2tb1(sK7)),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| ~ $less(X19,sK10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X19)),n1)
| $less(X19,sK5) ),
inference(cnf_transformation,[],[f249]) ).
tff(f3023,plain,
( spl59_281
| spl59_282 ),
inference(avatar_split_clause,[],[f2999,f3021,f3017]) ).
tff(f3021,plain,
( spl59_282
<=> ! [X0: set_int] : ~ mem(int,t2tb1(min_elt1(below1(1))),t2tb(succ1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_282])]) ).
tff(f2999,plain,
! [X0: set_int] :
( ( 0 = cardinal1(int,t2tb(below1(1))) )
| ~ mem(int,t2tb1(min_elt1(below1(1))),t2tb(succ1(X0))) ),
inference(resolution,[],[f1773,f418]) ).
tff(f1773,plain,
! [X0: $int] :
( $less(min_elt1(below1(X0)),X0)
| ( 0 = cardinal1(int,t2tb(below1(X0))) ) ),
inference(resolution,[],[f423,f1144]) ).
tff(f3015,plain,
( ~ spl59_280
| spl59_156
| ~ spl59_6
| ~ spl59_26 ),
inference(avatar_split_clause,[],[f3002,f695,f595,f1623,f3012]) ).
tff(f3012,plain,
( spl59_280
<=> mem(int,t2tb1(min_elt1(below1(sF37))),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_280])]) ).
tff(f3002,plain,
( ( 0 = cardinal1(int,t2tb(below1(sF37))) )
| ~ mem(int,t2tb1(min_elt1(below1(sF37))),sF50)
| ~ spl59_6
| ~ spl59_26 ),
inference(resolution,[],[f1773,f1412]) ).
tff(f3010,plain,
( spl59_181
| spl59_278
| spl59_279 ),
inference(avatar_split_clause,[],[f3001,f3008,f3004,f1883]) ).
tff(f3004,plain,
( spl59_278
<=> $less(min_elt1(below1(sK10)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_278])]) ).
tff(f3008,plain,
( spl59_279
<=> ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(min_elt1(below1(sK10)))),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_279])]) ).
tff(f3001,plain,
! [X0: map_int_int] :
( $less(min_elt1(below1(sK10)),sK5)
| ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(min_elt1(below1(sK10)))),n1)
| ( 0 = cardinal1(int,t2tb(below1(sK10))) )
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ),
inference(resolution,[],[f1773,f536]) ).
tff(f2991,plain,
( spl59_277
| ~ spl59_11
| ~ spl59_241
| spl59_244 ),
inference(avatar_split_clause,[],[f2986,f2536,f2518,f620,f2988]) ).
tff(f2988,plain,
( spl59_277
<=> mem(int,sK27(sF47,int),sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_277])]) ).
tff(f2518,plain,
( spl59_241
<=> mem(int,sK27(sF47,int),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_241])]) ).
tff(f2536,plain,
( spl59_244
<=> mem(int,sK27(sF47,int),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_244])]) ).
tff(f2986,plain,
( mem(int,sK27(sF47,int),sF47)
| ~ spl59_11
| ~ spl59_241
| spl59_244 ),
inference(subsumption_resolution,[],[f2985,f2520]) ).
tff(f2520,plain,
( mem(int,sK27(sF47,int),sF39)
| ~ spl59_241 ),
inference(avatar_component_clause,[],[f2518]) ).
tff(f2985,plain,
( mem(int,sK27(sF47,int),sF47)
| ~ mem(int,sK27(sF47,int),sF39)
| ~ spl59_11
| spl59_244 ),
inference(resolution,[],[f2538,f1444]) ).
tff(f1444,plain,
( ! [X0: uni] :
( mem(int,X0,sF46)
| ~ mem(int,X0,sF39)
| mem(int,X0,sF47) )
| ~ spl59_11 ),
inference(superposition,[],[f331,f622]) ).
tff(f2538,plain,
( ~ mem(int,sK27(sF47,int),sF46)
| spl59_244 ),
inference(avatar_component_clause,[],[f2536]) ).
tff(f2984,plain,
( spl59_276
| ~ spl59_11
| ~ spl59_242
| spl59_243 ),
inference(avatar_split_clause,[],[f2979,f2531,f2523,f620,f2981]) ).
tff(f2981,plain,
( spl59_276
<=> mem(int,choose(int,sF47),sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_276])]) ).
tff(f2523,plain,
( spl59_242
<=> mem(int,choose(int,sF47),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_242])]) ).
tff(f2531,plain,
( spl59_243
<=> mem(int,choose(int,sF47),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_243])]) ).
tff(f2979,plain,
( mem(int,choose(int,sF47),sF47)
| ~ spl59_11
| ~ spl59_242
| spl59_243 ),
inference(subsumption_resolution,[],[f2978,f2525]) ).
tff(f2525,plain,
( mem(int,choose(int,sF47),sF39)
| ~ spl59_242 ),
inference(avatar_component_clause,[],[f2523]) ).
tff(f2978,plain,
( mem(int,choose(int,sF47),sF47)
| ~ mem(int,choose(int,sF47),sF39)
| ~ spl59_11
| spl59_243 ),
inference(resolution,[],[f2533,f1444]) ).
tff(f2533,plain,
( ~ mem(int,choose(int,sF47),sF46)
| spl59_243 ),
inference(avatar_component_clause,[],[f2531]) ).
tff(f2976,plain,
( spl59_274
| spl59_275
| ~ spl59_24
| spl59_238 ),
inference(avatar_split_clause,[],[f2967,f2494,f685,f2973,f2969]) ).
tff(f2969,plain,
( spl59_274
<=> mem(int,t2tb1(min_elt1(tb2t(sF49))),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_274])]) ).
tff(f2973,plain,
( spl59_275
<=> mem(int,t2tb1(min_elt1(tb2t(sF49))),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_275])]) ).
tff(f2967,plain,
( mem(int,t2tb1(min_elt1(tb2t(sF49))),sF50)
| mem(int,t2tb1(min_elt1(tb2t(sF49))),sF51)
| ~ spl59_24
| spl59_238 ),
inference(subsumption_resolution,[],[f2944,f2495]) ).
tff(f2944,plain,
( ( 0 = cardinal1(int,sF49) )
| mem(int,t2tb1(min_elt1(tb2t(sF49))),sF51)
| mem(int,t2tb1(min_elt1(tb2t(sF49))),sF50)
| ~ spl59_24 ),
inference(resolution,[],[f1445,f1368]) ).
tff(f2966,plain,
( spl59_272
| spl59_273
| ~ spl59_24
| spl59_238 ),
inference(avatar_split_clause,[],[f2957,f2494,f685,f2963,f2959]) ).
tff(f2957,plain,
( mem(int,sK27(sF49,int),sF51)
| mem(int,sK27(sF49,int),sF50)
| ~ spl59_24
| spl59_238 ),
inference(subsumption_resolution,[],[f2946,f2495]) ).
tff(f2946,plain,
( ( 0 = cardinal1(int,sF49) )
| mem(int,sK27(sF49,int),sF51)
| mem(int,sK27(sF49,int),sF50)
| ~ spl59_24 ),
inference(resolution,[],[f1445,f1078]) ).
tff(f2956,plain,
( spl59_270
| spl59_271
| ~ spl59_24
| spl59_238 ),
inference(avatar_split_clause,[],[f2947,f2494,f685,f2953,f2949]) ).
tff(f2947,plain,
( mem(int,choose(int,sF49),sF50)
| mem(int,choose(int,sF49),sF51)
| ~ spl59_24
| spl59_238 ),
inference(subsumption_resolution,[],[f2945,f2495]) ).
tff(f2945,plain,
( mem(int,choose(int,sF49),sF50)
| mem(int,choose(int,sF49),sF51)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_24 ),
inference(resolution,[],[f1445,f1077]) ).
tff(f2939,plain,
( spl59_269
| ~ spl59_11
| spl59_104
| ~ spl59_135 ),
inference(avatar_split_clause,[],[f2934,f1422,f1214,f620,f2936]) ).
tff(f2936,plain,
( spl59_269
<=> mem(int,t2tb1(0),sF47) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_269])]) ).
tff(f1422,plain,
( spl59_135
<=> mem(int,t2tb1(0),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_135])]) ).
tff(f2934,plain,
( mem(int,t2tb1(0),sF47)
| ~ spl59_11
| spl59_104
| ~ spl59_135 ),
inference(subsumption_resolution,[],[f2931,f1424]) ).
tff(f1424,plain,
( mem(int,t2tb1(0),sF39)
| ~ spl59_135 ),
inference(avatar_component_clause,[],[f1422]) ).
tff(f2931,plain,
( mem(int,t2tb1(0),sF47)
| ~ mem(int,t2tb1(0),sF39)
| ~ spl59_11
| spl59_104 ),
inference(resolution,[],[f1444,f1216]) ).
tff(f2886,plain,
( spl59_268
| spl59_240
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2846,f620,f2514,f2883]) ).
tff(f2883,plain,
( spl59_268
<=> mem(int,t2tb1(min_elt1(tb2t(sF47))),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_268])]) ).
tff(f2846,plain,
( mem(int,t2tb1(min_elt1(tb2t(sF47))),sF39)
| ( 0 = cardinal1(int,sF47) )
| ~ spl59_11 ),
inference(resolution,[],[f1368,f1168]) ).
tff(f2881,plain,
( ~ spl59_267
| ~ spl59_9
| spl59_238 ),
inference(avatar_split_clause,[],[f2876,f2494,f610,f2878]) ).
tff(f2878,plain,
( spl59_267
<=> mem(int,t2tb1(min_elt1(tb2t(sF49))),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_267])]) ).
tff(f2876,plain,
( ~ mem(int,t2tb1(min_elt1(tb2t(sF49))),sF48)
| ~ spl59_9
| spl59_238 ),
inference(subsumption_resolution,[],[f2847,f2495]) ).
tff(f2847,plain,
( ( 0 = cardinal1(int,sF49) )
| ~ mem(int,t2tb1(min_elt1(tb2t(sF49))),sF48)
| ~ spl59_9 ),
inference(resolution,[],[f1368,f1160]) ).
tff(f2872,plain,
( spl59_240
| ~ spl59_266
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2845,f620,f2869,f2514]) ).
tff(f2869,plain,
( spl59_266
<=> mem(int,t2tb1(min_elt1(tb2t(sF47))),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_266])]) ).
tff(f2845,plain,
( ( 0 = cardinal1(int,sF47) )
| ~ mem(int,t2tb1(min_elt1(tb2t(sF47))),sF46)
| ~ spl59_11 ),
inference(resolution,[],[f1368,f1169]) ).
tff(f2838,plain,
( ~ spl59_265
| ~ spl59_87 ),
inference(avatar_split_clause,[],[f2830,f1071,f2835]) ).
tff(f1071,plain,
( spl59_87
<=> $less(0,sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_87])]) ).
tff(f2830,plain,
( ~ $less(sF31,-1)
| ~ spl59_87 ),
inference(interpreted_simplification,[],[f2829]) ).
tff(f2829,plain,
( ~ $less(sF31,-1)
| $less(0,-1)
| ~ spl59_87 ),
inference(instantiation,[],[f2068]) ).
tff(f2068,plain,
( ! [X0: $int] :
( ~ $less(sF31,X0)
| $less(0,X0) )
| ~ spl59_87 ),
inference(resolution,[],[f1073,f99]) ).
tff(f1073,plain,
( $less(0,sF31)
| ~ spl59_87 ),
inference(avatar_component_clause,[],[f1071]) ).
tff(f2817,plain,
( spl59_263
| spl59_264
| spl59_260 ),
inference(avatar_split_clause,[],[f2808,f2772,f2814,f2810]) ).
tff(f2810,plain,
( spl59_263
<=> ( 0 = $sum(1,sF57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_263])]) ).
tff(f2814,plain,
( spl59_264
<=> $less(0,$sum(1,sF57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_264])]) ).
tff(f2772,plain,
( spl59_260
<=> $less($sum(1,sF57),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_260])]) ).
tff(f2808,plain,
( ( 0 = $sum(1,sF57) )
| $less(0,$sum(1,sF57))
| spl59_260 ),
inference(resolution,[],[f2774,f100]) ).
tff(f2774,plain,
( ~ $less($sum(1,sF57),0)
| spl59_260 ),
inference(avatar_component_clause,[],[f2772]) ).
tff(f2789,plain,
( spl59_258
| spl59_262
| spl59_257 ),
inference(avatar_split_clause,[],[f2784,f2731,f2786,f2735]) ).
tff(f2735,plain,
( spl59_258
<=> ( 0 = min_elt1(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_258])]) ).
tff(f2786,plain,
( spl59_262
<=> $less(min_elt1(sK4),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_262])]) ).
tff(f2731,plain,
( spl59_257
<=> $less(0,min_elt1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_257])]) ).
tff(f2784,plain,
( $less(min_elt1(sK4),0)
| ( 0 = min_elt1(sK4) )
| spl59_257 ),
inference(resolution,[],[f2732,f100]) ).
tff(f2732,plain,
( ~ $less(0,min_elt1(sK4))
| spl59_257 ),
inference(avatar_component_clause,[],[f2731]) ).
tff(f2778,plain,
( ~ spl59_260
| spl59_261
| ~ spl59_37 ),
inference(avatar_split_clause,[],[f2765,f750,f2776,f2772]) ).
tff(f2776,plain,
( spl59_261
<=> ! [X0: uni] : mem(int,X0,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_261])]) ).
tff(f750,plain,
( spl59_37
<=> ( cardinal1(int,sF39) = sF57 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_37])]) ).
tff(f2765,plain,
( ! [X0: uni] :
( mem(int,X0,sF39)
| ~ $less($sum(1,sF57),0) )
| ~ spl59_37 ),
inference(superposition,[],[f1475,f752]) ).
tff(f752,plain,
( ( cardinal1(int,sF39) = sF57 )
| ~ spl59_37 ),
inference(avatar_component_clause,[],[f750]) ).
tff(f1475,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ $less($sum(1,cardinal1(X0,X2)),0)
| mem(X0,X1,X2) ),
inference(superposition,[],[f425,f479]) ).
tff(f479,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) )
| mem(X0,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tff(f319,plain,
! [X0: ty,X1: uni,X2: uni] :
( ( cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) )
| mem(X0,X1,X2) ),
inference(rectify,[],[f196]) ).
tff(f196,plain,
! [X0: ty,X2: uni,X1: uni] :
( ( cardinal1(X0,add(X0,X2,X1)) = $sum(1,cardinal1(X0,X1)) )
| mem(X0,X2,X1) ),
inference(ennf_transformation,[],[f179]) ).
tff(f179,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ mem(X0,X2,X1)
=> ( cardinal1(X0,add(X0,X2,X1)) = $sum(1,cardinal1(X0,X1)) ) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X0: ty,X10: uni,X1: uni] :
( ~ mem(X0,X1,X10)
=> ( cardinal1(X0,add(X0,X1,X10)) = $sum(1,cardinal1(X0,X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f425,plain,
! [X0: uni,X1: ty] : ~ $less(cardinal1(X1,X0),0),
inference(cnf_transformation,[],[f278]) ).
tff(f278,plain,
! [X0: uni,X1: ty] : ~ $less(cardinal1(X1,X0),0),
inference(rectify,[],[f114]) ).
tff(f114,plain,
! [X1: uni,X0: ty] : ~ $less(cardinal1(X0,X1),0),
inference(rectify,[],[f78]) ).
tff(f78,plain,
! [X0: ty,X10: uni] : ~ $less(cardinal1(X0,X10),0),
inference(theory_normalization,[],[f34]) ).
tff(f34,axiom,
! [X0: ty,X10: uni] : $lesseq(0,cardinal1(X0,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f2751,plain,
( spl59_252
| spl59_259
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f2597,f720,f2747,f2609]) ).
tff(f2609,plain,
( spl59_252
<=> mem(int,sK27(sF40,int),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_252])]) ).
tff(f2597,plain,
( ( 0 = cardinal1(int,sF40) )
| mem(int,sK27(sF40,int),sF39)
| ~ spl59_31 ),
inference(resolution,[],[f1596,f1078]) ).
tff(f2750,plain,
( spl59_259
| spl59_251
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f2596,f720,f2602,f2747]) ).
tff(f2602,plain,
( spl59_251
<=> mem(int,choose(int,sF40),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_251])]) ).
tff(f2596,plain,
( mem(int,choose(int,sF40),sF39)
| ( 0 = cardinal1(int,sF40) )
| ~ spl59_31 ),
inference(resolution,[],[f1596,f1077]) ).
tff(f2744,plain,
( ~ spl59_40
| ~ spl59_135
| ~ spl59_257 ),
inference(avatar_contradiction_clause,[],[f2743]) ).
tff(f2743,plain,
( $false
| ~ spl59_40
| ~ spl59_135
| ~ spl59_257 ),
inference(subsumption_resolution,[],[f2742,f1424]) ).
tff(f2742,plain,
( ~ mem(int,t2tb1(0),sF39)
| ~ spl59_40
| ~ spl59_257 ),
inference(forward_demodulation,[],[f2740,f767]) ).
tff(f2740,plain,
( ~ mem(int,t2tb1(0),t2tb(sK4))
| ~ spl59_257 ),
inference(resolution,[],[f2733,f1409]) ).
tff(f2733,plain,
( $less(0,min_elt1(sK4))
| ~ spl59_257 ),
inference(avatar_component_clause,[],[f2731]) ).
tff(f2738,plain,
( spl59_257
| spl59_258
| ~ spl59_131 ),
inference(avatar_split_clause,[],[f2713,f1392,f2735,f2731]) ).
tff(f1392,plain,
( spl59_131
<=> mem(int,t2tb1(min_elt1(sK4)),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_131])]) ).
tff(f2713,plain,
( ( 0 = min_elt1(sK4) )
| $less(0,min_elt1(sK4))
| ~ spl59_131 ),
inference(resolution,[],[f1026,f1394]) ).
tff(f1394,plain,
( mem(int,t2tb1(min_elt1(sK4)),sF39)
| ~ spl59_131 ),
inference(avatar_component_clause,[],[f1392]) ).
tff(f1026,plain,
! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF39)
| $less(0,X0)
| ( 0 = X0 ) ),
inference(resolution,[],[f100,f547]) ).
tff(f2729,plain,
( spl59_255
| spl59_256
| ~ spl59_213 ),
inference(avatar_split_clause,[],[f2714,f2140,f2726,f2722]) ).
tff(f2722,plain,
( spl59_255
<=> $less(0,max_elt1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_255])]) ).
tff(f2726,plain,
( spl59_256
<=> ( 0 = max_elt1(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_256])]) ).
tff(f2140,plain,
( spl59_213
<=> mem(int,t2tb1(max_elt1(sK4)),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_213])]) ).
tff(f2714,plain,
( $less(0,max_elt1(sK4))
| ( 0 = max_elt1(sK4) )
| ~ spl59_213 ),
inference(resolution,[],[f1026,f2142]) ).
tff(f2142,plain,
( mem(int,t2tb1(max_elt1(sK4)),sF39)
| ~ spl59_213 ),
inference(avatar_component_clause,[],[f2140]) ).
tff(f2710,plain,
( spl59_254
| spl59_164 ),
inference(avatar_split_clause,[],[f2706,f1680,f2708]) ).
tff(f2708,plain,
( spl59_254
<=> ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF39)
| $less(X0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_254])]) ).
tff(f1680,plain,
( spl59_164
<=> ! [X0: set_int] :
( mem(int,t2tb1(n1),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(n1,-1)),t2tb(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_164])]) ).
tff(f2706,plain,
! [X0: $int,X1: set_int] :
( ~ mem(int,t2tb1(X0),sF39)
| ~ mem(int,t2tb1($sum(n1,-1)),t2tb(X1))
| mem(int,t2tb1(n1),t2tb(succ1(X1)))
| $less(X0,1) ),
inference(resolution,[],[f1012,f565]) ).
tff(f1012,plain,
! [X0: $int,X1: $int] :
( ~ $less(n1,X1)
| ~ mem(int,t2tb1(X0),sF39)
| $less(X0,X1) ),
inference(resolution,[],[f99,f548]) ).
tff(f2681,plain,
( spl59_253
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f2674,f720,f2678]) ).
tff(f2678,plain,
( spl59_253
<=> subset(int,sF40,add(int,sF38,sF39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_253])]) ).
tff(f2674,plain,
( subset(int,sF40,add(int,sF38,sF39))
| ~ spl59_31 ),
inference(superposition,[],[f1295,f722]) ).
tff(f1295,plain,
! [X2: uni,X0: ty,X1: uni] : subset(X0,remove(X0,X1,X2),add(X0,X1,X2)),
inference(superposition,[],[f378,f398]) ).
tff(f398,plain,
! [X2: uni,X0: ty,X1: uni] : ( remove(X0,X2,X1) = remove(X0,X2,add(X0,X2,X1)) ),
inference(cnf_transformation,[],[f260]) ).
tff(f260,plain,
! [X0: ty,X1: uni,X2: uni] : ( remove(X0,X2,X1) = remove(X0,X2,add(X0,X2,X1)) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
! [X2: ty,X1: uni,X0: uni] : ( remove(X2,X0,X1) = remove(X2,X0,add(X2,X0,X1)) ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X1: uni,X10: uni,X0: ty] : ( remove(X0,X1,X10) = remove(X0,X1,add(X0,X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f378,plain,
! [X2: ty,X0: uni,X1: uni] : subset(X2,remove(X2,X1,X0),X0),
inference(cnf_transformation,[],[f250]) ).
tff(f250,plain,
! [X0: uni,X1: uni,X2: ty] : subset(X2,remove(X2,X1,X0),X0),
inference(rectify,[],[f123]) ).
tff(f123,plain,
! [X2: uni,X0: uni,X1: ty] : subset(X1,remove(X1,X0,X2),X2),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X1: uni,X0: ty,X10: uni] : subset(X0,remove(X0,X1,X10),X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f2671,plain,
( ~ spl59_99
| ~ spl59_9 ),
inference(avatar_split_clause,[],[f2667,f610,f1179]) ).
tff(f1179,plain,
( spl59_99
<=> $less(cardinal1(int,sF47),cardinal1(int,sF49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_99])]) ).
tff(f2667,plain,
( ~ $less(cardinal1(int,sF47),cardinal1(int,sF49))
| ~ spl59_9 ),
inference(superposition,[],[f1135,f612]) ).
tff(f1135,plain,
! [X2: uni,X0: ty,X1: uni] : ~ $less(cardinal1(X0,X1),cardinal1(X0,diff(X0,X1,X2))),
inference(resolution,[],[f330,f401]) ).
tff(f401,plain,
! [X2: uni,X0: uni,X1: ty] : subset(X1,diff(X1,X0,X2),X0),
inference(cnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X0: uni,X1: ty,X2: uni] : subset(X1,diff(X1,X0,X2),X0),
inference(rectify,[],[f122]) ).
tff(f122,plain,
! [X2: uni,X0: ty,X1: uni] : subset(X0,diff(X0,X2,X1),X2),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X0: ty,X9: uni,X8: uni] : subset(X0,diff(X0,X8,X9),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f330,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ subset(X0,X2,X1)
| ~ $less(cardinal1(X0,X1),cardinal1(X0,X2)) ),
inference(cnf_transformation,[],[f232]) ).
tff(f232,plain,
! [X0: ty,X1: uni,X2: uni] :
( ~ $less(cardinal1(X0,X1),cardinal1(X0,X2))
| ~ subset(X0,X2,X1) ),
inference(rectify,[],[f212]) ).
tff(f212,plain,
! [X1: ty,X0: uni,X2: uni] :
( ~ $less(cardinal1(X1,X0),cardinal1(X1,X2))
| ~ subset(X1,X2,X0) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: uni,X2: uni,X1: ty] :
( subset(X1,X2,X0)
=> ~ $less(cardinal1(X1,X0),cardinal1(X1,X2)) ),
inference(rectify,[],[f80]) ).
tff(f80,plain,
! [X9: uni,X0: ty,X8: uni] :
( subset(X0,X8,X9)
=> ~ $less(cardinal1(X0,X9),cardinal1(X0,X8)) ),
inference(theory_normalization,[],[f38]) ).
tff(f38,axiom,
! [X9: uni,X0: ty,X8: uni] :
( subset(X0,X8,X9)
=> $lesseq(cardinal1(X0,X8),cardinal1(X0,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f2612,plain,
( spl59_252
| ~ spl59_31
| spl59_90
| ~ spl59_116 ),
inference(avatar_split_clause,[],[f2607,f1303,f1109,f720,f2609]) ).
tff(f1109,plain,
( spl59_90
<=> ( 0 = sF57 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_90])]) ).
tff(f1303,plain,
( spl59_116
<=> ( sF57 = cardinal1(int,sF40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_116])]) ).
tff(f2607,plain,
( mem(int,sK27(sF40,int),sF39)
| ~ spl59_31
| spl59_90
| ~ spl59_116 ),
inference(subsumption_resolution,[],[f2606,f1111]) ).
tff(f1111,plain,
( ( 0 != sF57 )
| spl59_90 ),
inference(avatar_component_clause,[],[f1109]) ).
tff(f2606,plain,
( ( 0 = sF57 )
| mem(int,sK27(sF40,int),sF39)
| ~ spl59_31
| ~ spl59_116 ),
inference(forward_demodulation,[],[f2597,f1305]) ).
tff(f1305,plain,
( ( sF57 = cardinal1(int,sF40) )
| ~ spl59_116 ),
inference(avatar_component_clause,[],[f1303]) ).
tff(f2605,plain,
( spl59_251
| ~ spl59_31
| spl59_90
| ~ spl59_116 ),
inference(avatar_split_clause,[],[f2600,f1303,f1109,f720,f2602]) ).
tff(f2600,plain,
( mem(int,choose(int,sF40),sF39)
| ~ spl59_31
| spl59_90
| ~ spl59_116 ),
inference(subsumption_resolution,[],[f2599,f1111]) ).
tff(f2599,plain,
( mem(int,choose(int,sF40),sF39)
| ( 0 = sF57 )
| ~ spl59_31
| ~ spl59_116 ),
inference(forward_demodulation,[],[f2596,f1305]) ).
tff(f2589,plain,
( ~ spl59_250
| spl59_246
| ~ spl59_24 ),
inference(avatar_split_clause,[],[f2579,f685,f2565,f2586]) ).
tff(f2586,plain,
( spl59_250
<=> mem(int,sK27(sF51,int),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_250])]) ).
tff(f2565,plain,
( spl59_246
<=> ( 0 = cardinal1(int,sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_246])]) ).
tff(f2579,plain,
( ( 0 = cardinal1(int,sF51) )
| ~ mem(int,sK27(sF51,int),sF50)
| ~ spl59_24 ),
inference(resolution,[],[f1219,f1078]) ).
tff(f2584,plain,
( ~ spl59_249
| spl59_246
| ~ spl59_24 ),
inference(avatar_split_clause,[],[f2578,f685,f2565,f2581]) ).
tff(f2581,plain,
( spl59_249
<=> mem(int,choose(int,sF51),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_249])]) ).
tff(f2578,plain,
( ( 0 = cardinal1(int,sF51) )
| ~ mem(int,choose(int,sF51),sF50)
| ~ spl59_24 ),
inference(resolution,[],[f1219,f1077]) ).
tff(f2577,plain,
( spl59_246
| spl59_248
| ~ spl59_24 ),
inference(avatar_split_clause,[],[f2562,f685,f2574,f2565]) ).
tff(f2574,plain,
( spl59_248
<=> mem(int,choose(int,sF51),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_248])]) ).
tff(f2562,plain,
( ( 0 = cardinal1(int,sF51) )
| mem(int,choose(int,sF51),sF49)
| ~ spl59_24 ),
inference(resolution,[],[f1218,f1077]) ).
tff(f2572,plain,
( spl59_246
| spl59_247
| ~ spl59_24 ),
inference(avatar_split_clause,[],[f2563,f685,f2569,f2565]) ).
tff(f2569,plain,
( spl59_247
<=> mem(int,sK27(sF51,int),sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_247])]) ).
tff(f2563,plain,
( ( 0 = cardinal1(int,sF51) )
| mem(int,sK27(sF51,int),sF49)
| ~ spl59_24 ),
inference(resolution,[],[f1218,f1078]) ).
tff(f2561,plain,
( spl59_130
| spl59_245 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
tff(f2560,plain,
( $false
| spl59_130
| spl59_245 ),
inference(subsumption_resolution,[],[f2559,f1386]) ).
tff(f2559,plain,
( ( 0 = cardinal1(int,sF50) )
| spl59_245 ),
inference(subsumption_resolution,[],[f2558,f425]) ).
tff(f2558,plain,
( $less(cardinal1(int,sF50),0)
| ( 0 = cardinal1(int,sF50) )
| spl59_245 ),
inference(resolution,[],[f2549,f100]) ).
tff(f2549,plain,
( ~ $less(0,cardinal1(int,sF50))
| spl59_245 ),
inference(avatar_component_clause,[],[f2547]) ).
tff(f2547,plain,
( spl59_245
<=> $less(0,cardinal1(int,sF50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_245])]) ).
tff(f2550,plain,
( ~ spl59_245
| spl59_94
| ~ spl59_238 ),
inference(avatar_split_clause,[],[f2540,f2494,f1137,f2547]) ).
tff(f1137,plain,
( spl59_94
<=> $less(cardinal1(int,sF49),cardinal1(int,sF50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_94])]) ).
tff(f2540,plain,
( ~ $less(0,cardinal1(int,sF50))
| spl59_94
| ~ spl59_238 ),
inference(superposition,[],[f1139,f2496]) ).
tff(f2496,plain,
( ( 0 = cardinal1(int,sF49) )
| ~ spl59_238 ),
inference(avatar_component_clause,[],[f2494]) ).
tff(f1139,plain,
( ~ $less(cardinal1(int,sF49),cardinal1(int,sF50))
| spl59_94 ),
inference(avatar_component_clause,[],[f1137]) ).
tff(f2539,plain,
( spl59_240
| ~ spl59_244
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2529,f620,f2536,f2514]) ).
tff(f2529,plain,
( ~ mem(int,sK27(sF47,int),sF46)
| ( 0 = cardinal1(int,sF47) )
| ~ spl59_11 ),
inference(resolution,[],[f1169,f1078]) ).
tff(f2534,plain,
( spl59_240
| ~ spl59_243
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2528,f620,f2531,f2514]) ).
tff(f2528,plain,
( ( 0 = cardinal1(int,sF47) )
| ~ mem(int,choose(int,sF47),sF46)
| ~ spl59_11 ),
inference(resolution,[],[f1169,f1077]) ).
tff(f2526,plain,
( spl59_240
| spl59_242
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2511,f620,f2523,f2514]) ).
tff(f2511,plain,
( ( 0 = cardinal1(int,sF47) )
| mem(int,choose(int,sF47),sF39)
| ~ spl59_11 ),
inference(resolution,[],[f1168,f1077]) ).
tff(f2521,plain,
( spl59_240
| spl59_241
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f2512,f620,f2518,f2514]) ).
tff(f2512,plain,
( ( 0 = cardinal1(int,sF47) )
| mem(int,sK27(sF47,int),sF39)
| ~ spl59_11 ),
inference(resolution,[],[f1168,f1078]) ).
tff(f2502,plain,
( spl59_238
| ~ spl59_239
| ~ spl59_9 ),
inference(avatar_split_clause,[],[f2488,f610,f2499,f2494]) ).
tff(f2499,plain,
( spl59_239
<=> mem(int,sK27(sF49,int),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_239])]) ).
tff(f2488,plain,
( ~ mem(int,sK27(sF49,int),sF48)
| ( 0 = cardinal1(int,sF49) )
| ~ spl59_9 ),
inference(resolution,[],[f1160,f1078]) ).
tff(f2497,plain,
( ~ spl59_237
| spl59_238
| ~ spl59_9 ),
inference(avatar_split_clause,[],[f2487,f610,f2494,f2490]) ).
tff(f2490,plain,
( spl59_237
<=> mem(int,choose(int,sF49),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_237])]) ).
tff(f2487,plain,
( ( 0 = cardinal1(int,sF49) )
| ~ mem(int,choose(int,sF49),sF48)
| ~ spl59_9 ),
inference(resolution,[],[f1160,f1077]) ).
tff(f2464,plain,
( ~ spl59_236
| ~ spl59_1
| ~ spl59_118 ),
inference(avatar_split_clause,[],[f2459,f1325,f570,f2461]) ).
tff(f2461,plain,
( spl59_236
<=> mem(int,sF38,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_236])]) ).
tff(f1325,plain,
( spl59_118
<=> ! [X0: $int] :
( $less(X0,sF37)
| ~ mem(int,t2tb1(X0),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_118])]) ).
tff(f2459,plain,
( ~ mem(int,sF38,sF51)
| ~ spl59_1
| ~ spl59_118 ),
inference(subsumption_resolution,[],[f2431,f98]) ).
tff(f98,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f2431,plain,
( $less(sF37,sF37)
| ~ mem(int,sF38,sF51)
| ~ spl59_1
| ~ spl59_118 ),
inference(superposition,[],[f1326,f572]) ).
tff(f1326,plain,
( ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF51)
| $less(X0,sF37) )
| ~ spl59_118 ),
inference(avatar_component_clause,[],[f1325]) ).
tff(f2458,plain,
( spl59_234
| ~ spl59_235
| ~ spl59_53
| ~ spl59_118 ),
inference(avatar_split_clause,[],[f2429,f1325,f837,f2455,f2451]) ).
tff(f2451,plain,
( spl59_234
<=> $less(sK15,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_234])]) ).
tff(f2455,plain,
( spl59_235
<=> mem(int,sF34,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_235])]) ).
tff(f2429,plain,
( $less(sK15,sF37)
| ~ mem(int,sF34,sF51)
| ~ spl59_53
| ~ spl59_118 ),
inference(superposition,[],[f1326,f839]) ).
tff(f2449,plain,
( spl59_232
| ~ spl59_233
| ~ spl59_21
| ~ spl59_118 ),
inference(avatar_split_clause,[],[f2428,f1325,f670,f2446,f2442]) ).
tff(f2446,plain,
( spl59_233
<=> mem(int,sF43,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_233])]) ).
tff(f2428,plain,
( ~ mem(int,sF43,sF51)
| $less(sK7,sF37)
| ~ spl59_21
| ~ spl59_118 ),
inference(superposition,[],[f1326,f672]) ).
tff(f2440,plain,
( ~ spl59_230
| spl59_231
| ~ spl59_10
| ~ spl59_118 ),
inference(avatar_split_clause,[],[f2430,f1325,f615,f2437,f2433]) ).
tff(f2433,plain,
( spl59_230
<=> mem(int,sF33,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_230])]) ).
tff(f2437,plain,
( spl59_231
<=> $less(sK16,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_231])]) ).
tff(f2430,plain,
( ~ mem(int,sF33,sF51)
| $less(sK16,sF37)
| ~ spl59_10
| ~ spl59_118 ),
inference(superposition,[],[f1326,f617]) ).
tff(f2410,plain,
( spl59_212
| spl59_211
| spl59_137 ),
inference(avatar_split_clause,[],[f2409,f1435,f2102,f2106]) ).
tff(f2106,plain,
( spl59_212
<=> ( 0 = sK18(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_212])]) ).
tff(f2102,plain,
( spl59_211
<=> $less(0,sK18(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_211])]) ).
tff(f1435,plain,
( spl59_137
<=> $less(sK18(0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_137])]) ).
tff(f2409,plain,
( ( 0 = sK18(0) )
| $less(0,sK18(0))
| spl59_137 ),
inference(resolution,[],[f1437,f100]) ).
tff(f1437,plain,
( ~ $less(sK18(0),0)
| spl59_137 ),
inference(avatar_component_clause,[],[f1435]) ).
tff(f2406,plain,
( spl59_32
| ~ spl59_130 ),
inference(avatar_contradiction_clause,[],[f2405]) ).
tff(f2405,plain,
( $false
| spl59_32
| ~ spl59_130 ),
inference(subsumption_resolution,[],[f2404,f727]) ).
tff(f727,plain,
( ~ is_empty(int,sF50)
| spl59_32 ),
inference(avatar_component_clause,[],[f725]) ).
tff(f725,plain,
( spl59_32
<=> is_empty(int,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_32])]) ).
tff(f2404,plain,
( is_empty(int,sF50)
| ~ spl59_130 ),
inference(trivial_inequality_removal,[],[f2402]) ).
tff(f2402,plain,
( ( 0 != 0 )
| is_empty(int,sF50)
| ~ spl59_130 ),
inference(superposition,[],[f453,f1387]) ).
tff(f1387,plain,
( ( 0 = cardinal1(int,sF50) )
| ~ spl59_130 ),
inference(avatar_component_clause,[],[f1385]) ).
tff(f2370,plain,
( ~ spl59_180
| spl59_86
| ~ spl59_229 ),
inference(avatar_split_clause,[],[f2368,f2346,f1067,f1873]) ).
tff(f1873,plain,
( spl59_180
<=> ( 0 = sK10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_180])]) ).
tff(f1067,plain,
( spl59_86
<=> ( 0 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_86])]) ).
tff(f2346,plain,
( spl59_229
<=> ( sK10 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_229])]) ).
tff(f2368,plain,
( ( 0 != sK10 )
| spl59_86
| ~ spl59_229 ),
inference(superposition,[],[f1068,f2348]) ).
tff(f2348,plain,
( ( sK10 = sF31 )
| ~ spl59_229 ),
inference(avatar_component_clause,[],[f2346]) ).
tff(f1068,plain,
( ( 0 != sF31 )
| spl59_86 ),
inference(avatar_component_clause,[],[f1067]) ).
tff(f2349,plain,
( spl59_229
| ~ spl59_41
| ~ spl59_224 ),
inference(avatar_split_clause,[],[f2344,f2290,f770,f2346]) ).
tff(f770,plain,
( spl59_41
<=> ( $sum(sK10,sF30) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_41])]) ).
tff(f2290,plain,
( spl59_224
<=> ( 0 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_224])]) ).
tff(f2344,plain,
( ( sK10 = sF31 )
| ~ spl59_41
| ~ spl59_224 ),
inference(evaluation,[],[f2343]) ).
tff(f2343,plain,
( ( sF31 = $sum(sK10,0) )
| ~ spl59_41
| ~ spl59_224 ),
inference(superposition,[],[f772,f2292]) ).
tff(f2292,plain,
( ( 0 = sF30 )
| ~ spl59_224 ),
inference(avatar_component_clause,[],[f2290]) ).
tff(f772,plain,
( ( $sum(sK10,sF30) = sF31 )
| ~ spl59_41 ),
inference(avatar_component_clause,[],[f770]) ).
tff(f2333,plain,
( spl59_228
| ~ spl59_137 ),
inference(avatar_split_clause,[],[f2318,f1435,f2330]) ).
tff(f2330,plain,
( spl59_228
<=> ( 0 = cardinal1(int,t2tb(below1(sK18(0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_228])]) ).
tff(f2318,plain,
( ( 0 = cardinal1(int,t2tb(below1(sK18(0)))) )
| ~ spl59_137 ),
inference(resolution,[],[f1436,f335]) ).
tff(f1436,plain,
( $less(sK18(0),0)
| ~ spl59_137 ),
inference(avatar_component_clause,[],[f1435]) ).
tff(f2328,plain,
( spl59_135
| ~ spl59_136
| ~ spl59_137 ),
inference(avatar_split_clause,[],[f2327,f1435,f1426,f1422]) ).
tff(f1426,plain,
( spl59_136
<=> $less(0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_136])]) ).
tff(f2327,plain,
( mem(int,t2tb1(0),sF39)
| ~ spl59_136
| ~ spl59_137 ),
inference(subsumption_resolution,[],[f2321,f1427]) ).
tff(f1427,plain,
( $less(0,n1)
| ~ spl59_136 ),
inference(avatar_component_clause,[],[f1426]) ).
tff(f2321,plain,
( ~ $less(0,n1)
| mem(int,t2tb1(0),sF39)
| ~ spl59_137 ),
inference(evaluation,[],[f2315]) ).
tff(f2315,plain,
( ~ $less(0,n1)
| mem(int,t2tb1(0),sF39)
| $less(0,0)
| ~ spl59_137 ),
inference(resolution,[],[f1436,f551]) ).
tff(f551,plain,
! [X22: $int] :
( ~ $less(sK18(X22),0)
| mem(int,t2tb1(X22),sF39)
| ~ $less(X22,n1)
| $less(X22,0) ),
inference(definition_folding,[],[f348,f514]) ).
tff(f348,plain,
! [X22: $int] :
( mem(int,t2tb1(X22),t2tb(sK4))
| ~ $less(sK18(X22),0)
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(cnf_transformation,[],[f249]) ).
tff(f2326,plain,
( ~ spl59_227
| ~ spl59_137 ),
inference(avatar_split_clause,[],[f2319,f1435,f2323]) ).
tff(f2323,plain,
( spl59_227
<=> mem(int,t2tb1(sK18(0)),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_227])]) ).
tff(f2319,plain,
( ~ mem(int,t2tb1(sK18(0)),sF39)
| ~ spl59_137 ),
inference(resolution,[],[f1436,f547]) ).
tff(f2303,plain,
( spl59_226
| ~ spl59_46
| ~ spl59_81 ),
inference(avatar_split_clause,[],[f2286,f1044,f795,f2300]) ).
tff(f2300,plain,
( spl59_226
<=> sorted1(sK11,0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_226])]) ).
tff(f795,plain,
( spl59_46
<=> sorted1(sK11,sK5,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_46])]) ).
tff(f1044,plain,
( spl59_81
<=> ( 0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_81])]) ).
tff(f2286,plain,
( sorted1(sK11,0,sK10)
| ~ spl59_46
| ~ spl59_81 ),
inference(superposition,[],[f797,f1046]) ).
tff(f1046,plain,
( ( 0 = sK5 )
| ~ spl59_81 ),
inference(avatar_component_clause,[],[f1044]) ).
tff(f797,plain,
( sorted1(sK11,sK5,sK10)
| ~ spl59_46 ),
inference(avatar_component_clause,[],[f795]) ).
tff(f2298,plain,
( spl59_225
| ~ spl59_39
| ~ spl59_81 ),
inference(avatar_split_clause,[],[f2285,f1044,f760,f2295]) ).
tff(f2295,plain,
( spl59_225
<=> eq_prefix1(sF52,sF55,sF53,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_225])]) ).
tff(f2285,plain,
( eq_prefix1(sF52,sF55,sF53,0)
| ~ spl59_39
| ~ spl59_81 ),
inference(superposition,[],[f762,f1046]) ).
tff(f2293,plain,
( spl59_224
| ~ spl59_3
| ~ spl59_81 ),
inference(avatar_split_clause,[],[f2288,f1044,f580,f2290]) ).
tff(f580,plain,
( spl59_3
<=> ( $uminus(sK5) = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_3])]) ).
tff(f2288,plain,
( ( 0 = sF30 )
| ~ spl59_3
| ~ spl59_81 ),
inference(evaluation,[],[f2284]) ).
tff(f2284,plain,
( ( sF30 = $uminus(0) )
| ~ spl59_3
| ~ spl59_81 ),
inference(superposition,[],[f582,f1046]) ).
tff(f582,plain,
( ( $uminus(sK5) = sF30 )
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f580]) ).
tff(f2282,plain,
( spl59_223
| spl59_80
| ~ spl59_176 ),
inference(avatar_split_clause,[],[f2094,f1852,f1040,f2280]) ).
tff(f2280,plain,
( spl59_223
<=> ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(0)),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_223])]) ).
tff(f1852,plain,
( spl59_176
<=> $less(0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_176])]) ).
tff(f2094,plain,
( ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(0)),n1)
| $less(0,sK5)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) )
| ~ spl59_176 ),
inference(resolution,[],[f1853,f536]) ).
tff(f1853,plain,
( $less(0,sK10)
| ~ spl59_176 ),
inference(avatar_component_clause,[],[f1852]) ).
tff(f2278,plain,
( spl59_143
| spl59_222
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f2203,f570,f2276,f1503]) ).
tff(f2276,plain,
( spl59_222
<=> ! [X0: $int] :
( mem(int,sF38,t2tb(below1(X0)))
| ~ $less(sF37,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_222])]) ).
tff(f2203,plain,
( ! [X0: $int] :
( mem(int,sF38,t2tb(below1(X0)))
| ~ $less(sF37,X0)
| $less(sF37,0) )
| ~ spl59_1 ),
inference(superposition,[],[f424,f572]) ).
tff(f424,plain,
! [X0: $int,X1: $int] :
( mem(int,t2tb1(X0),t2tb(below1(X1)))
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
tff(f2274,plain,
spl59_221,
inference(avatar_split_clause,[],[f2195,f2271]) ).
tff(f2271,plain,
( spl59_221
<=> mem(int,t2tb1(0),t2tb(below1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_221])]) ).
tff(f2195,plain,
mem(int,t2tb1(0),t2tb(below1(1))),
inference(interpreted_simplification,[],[f2194]) ).
tff(f2194,plain,
( mem(int,t2tb1(0),t2tb(below1(1)))
| $less(0,0)
| ~ $less(0,1) ),
inference(instantiation,[],[f424]) ).
tff(f2269,plain,
( spl59_149
| ~ spl59_27
| ~ spl59_62
| ~ spl59_107 ),
inference(avatar_split_clause,[],[f2253,f1240,f900,f700,f1542]) ).
tff(f1542,plain,
( spl59_149
<=> mem(int,sF34,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_149])]) ).
tff(f700,plain,
( spl59_27
<=> mem(int,sF36,sF40) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_27])]) ).
tff(f900,plain,
( spl59_62
<=> ( sF34 = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_62])]) ).
tff(f1240,plain,
( spl59_107
<=> subset(int,sF40,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_107])]) ).
tff(f2253,plain,
( mem(int,sF34,sF39)
| ~ spl59_27
| ~ spl59_62
| ~ spl59_107 ),
inference(resolution,[],[f1316,f1242]) ).
tff(f1242,plain,
( subset(int,sF40,sF39)
| ~ spl59_107 ),
inference(avatar_component_clause,[],[f1240]) ).
tff(f1316,plain,
( ! [X0: uni] :
( ~ subset(int,sF40,X0)
| mem(int,sF34,X0) )
| ~ spl59_27
| ~ spl59_62 ),
inference(forward_demodulation,[],[f1311,f902]) ).
tff(f902,plain,
( ( sF34 = sF36 )
| ~ spl59_62 ),
inference(avatar_component_clause,[],[f900]) ).
tff(f1311,plain,
( ! [X0: uni] :
( ~ subset(int,sF40,X0)
| mem(int,sF36,X0) )
| ~ spl59_27 ),
inference(resolution,[],[f458,f702]) ).
tff(f702,plain,
( mem(int,sF36,sF40)
| ~ spl59_27 ),
inference(avatar_component_clause,[],[f700]) ).
tff(f2268,plain,
( spl59_128
| spl59_220
| ~ spl59_23 ),
inference(avatar_split_clause,[],[f2135,f680,f2265,f1374]) ).
tff(f1374,plain,
( spl59_128
<=> ( 0 = cardinal1(int,sF46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_128])]) ).
tff(f2265,plain,
( spl59_220
<=> mem(int,t2tb1(max_elt1(sK6)),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_220])]) ).
tff(f2135,plain,
( mem(int,t2tb1(max_elt1(sK6)),sF46)
| ( 0 = cardinal1(int,sF46) )
| ~ spl59_23 ),
inference(superposition,[],[f2128,f682]) ).
tff(f2263,plain,
( spl59_219
| spl59_132
| ~ spl59_18 ),
inference(avatar_split_clause,[],[f2133,f655,f1401,f2260]) ).
tff(f2260,plain,
( spl59_219
<=> mem(int,t2tb1(max_elt1(sK3)),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_219])]) ).
tff(f1401,plain,
( spl59_132
<=> ( 0 = cardinal1(int,sF48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_132])]) ).
tff(f2133,plain,
( ( 0 = cardinal1(int,sF48) )
| mem(int,t2tb1(max_elt1(sK3)),sF48)
| ~ spl59_18 ),
inference(superposition,[],[f2128,f657]) ).
tff(f2258,plain,
( ~ spl59_27
| ~ spl59_62
| ~ spl59_107
| spl59_149 ),
inference(avatar_contradiction_clause,[],[f2257]) ).
tff(f2257,plain,
( $false
| ~ spl59_27
| ~ spl59_62
| ~ spl59_107
| spl59_149 ),
inference(subsumption_resolution,[],[f2253,f1544]) ).
tff(f1544,plain,
( ~ mem(int,sF34,sF39)
| spl59_149 ),
inference(avatar_component_clause,[],[f1542]) ).
tff(f2247,plain,
( ~ spl59_195
| ~ spl59_136 ),
inference(avatar_split_clause,[],[f2243,f1426,f2008]) ).
tff(f2008,plain,
( spl59_195
<=> $less(n1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_195])]) ).
tff(f2243,plain,
( ~ $less(n1,0)
| ~ spl59_136 ),
inference(interpreted_simplification,[],[f2242]) ).
tff(f2242,plain,
( ~ $less(n1,0)
| $less(0,0)
| ~ spl59_136 ),
inference(instantiation,[],[f2069]) ).
tff(f2069,plain,
( ! [X0: $int] :
( ~ $less(n1,X0)
| $less(0,X0) )
| ~ spl59_136 ),
inference(resolution,[],[f1427,f99]) ).
tff(f2214,plain,
( spl59_218
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2209,f2063,f2211]) ).
tff(f2211,plain,
( spl59_218
<=> mem(int,sF33,t2tb(below1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_218])]) ).
tff(f2063,plain,
( spl59_206
<=> ( sF33 = t2tb1(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_206])]) ).
tff(f2209,plain,
( mem(int,sF33,t2tb(below1(1)))
| ~ spl59_206 ),
inference(forward_demodulation,[],[f2195,f2065]) ).
tff(f2065,plain,
( ( sF33 = t2tb1(0) )
| ~ spl59_206 ),
inference(avatar_component_clause,[],[f2063]) ).
tff(f2181,plain,
( ~ spl59_184
| spl59_104
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2153,f2063,f1214,f1911]) ).
tff(f1911,plain,
( spl59_184
<=> mem(int,sF33,sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_184])]) ).
tff(f2153,plain,
( ~ mem(int,sF33,sF46)
| spl59_104
| ~ spl59_206 ),
inference(superposition,[],[f1216,f2065]) ).
tff(f2180,plain,
( spl59_217
| spl59_188
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2162,f2063,f1947,f2178]) ).
tff(f2178,plain,
( spl59_217
<=> ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum(sK7,$uminus(X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_217])]) ).
tff(f1947,plain,
( spl59_188
<=> mem(int,sF33,sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_188])]) ).
tff(f2162,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum(sK7,$uminus(X0)) )
| mem(int,sF33,sF48)
| $less(X0,0) )
| ~ spl59_206 ),
inference(evaluation,[],[f2160]) ).
tff(f2160,plain,
( ! [X0: $int] :
( mem(int,sF33,sF48)
| $less(X0,0)
| $less(0,0)
| ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(0,sK7),$uminus(X0)) ) )
| ~ spl59_206 ),
inference(superposition,[],[f564,f2065]) ).
tff(f564,plain,
! [X28: $int,X30: $int] :
( mem(int,t2tb1(X28),sF48)
| $less(X30,0)
| $less(X28,0)
| ~ $less(X30,sK7)
| ( $sum($sum(X28,sK7),$uminus(X30)) != tb2t1(get(int,int,sF54,t2tb1(X30))) ) ),
inference(definition_folding,[],[f497,f526,f539]) ).
tff(f497,plain,
! [X28: $int,X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X30))) != $sum($sum(X28,sK7),$uminus(X30)) )
| ~ $less(X30,sK7)
| mem(int,t2tb1(X28),t2tb(sK3))
| $less(X28,0) ),
inference(definition_unfolding,[],[f337,f357,f357]) ).
tff(f337,plain,
! [X28: $int,X30: $int] :
( $less(X30,0)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X30))) != $sum($sum(X28,sK2),$uminus(X30)) )
| ~ $less(X30,sK2)
| mem(int,t2tb1(X28),t2tb(sK3))
| $less(X28,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f2176,plain,
( spl59_184
| spl59_216
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2163,f2063,f2174,f1911]) ).
tff(f2163,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum(X0,sF56) )
| mem(int,sF33,sF46)
| $less(X0,0) )
| ~ spl59_206 ),
inference(evaluation,[],[f2159]) ).
tff(f2159,plain,
( ! [X0: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(0,X0),sF56) )
| $less(0,0)
| ~ $less(X0,sK7)
| $less(X0,0)
| mem(int,sF33,sF46) )
| ~ spl59_206 ),
inference(superposition,[],[f553,f2065]) ).
tff(f2172,plain,
( spl59_215
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2156,f2063,f2169]) ).
tff(f2169,plain,
( spl59_215
<=> ( 0 = tb2t1(sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_215])]) ).
tff(f2156,plain,
( ( 0 = tb2t1(sF33) )
| ~ spl59_206 ),
inference(superposition,[],[f426,f2065]) ).
tff(f2167,plain,
( ~ spl59_188
| spl59_112
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2152,f2063,f1271,f1947]) ).
tff(f1271,plain,
( spl59_112
<=> mem(int,t2tb1(0),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_112])]) ).
tff(f2152,plain,
( ~ mem(int,sF33,sF48)
| spl59_112
| ~ spl59_206 ),
inference(superposition,[],[f1273,f2065]) ).
tff(f1273,plain,
( ~ mem(int,t2tb1(0),sF48)
| spl59_112 ),
inference(avatar_component_clause,[],[f1271]) ).
tff(f2166,plain,
( ~ spl59_146
| ~ spl59_82
| ~ spl59_206 ),
inference(avatar_split_clause,[],[f2165,f2063,f1049,f1517]) ).
tff(f1517,plain,
( spl59_146
<=> mem(int,get(int,int,sF54,sF33),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_146])]) ).
tff(f2165,plain,
( ~ mem(int,get(int,int,sF54,sF33),sF39)
| ~ spl59_82
| ~ spl59_206 ),
inference(subsumption_resolution,[],[f2164,f1051]) ).
tff(f2164,plain,
( ~ mem(int,get(int,int,sF54,sF33),sF39)
| ~ $less(0,sK7)
| ~ spl59_206 ),
inference(evaluation,[],[f2161]) ).
tff(f2161,plain,
( ~ $less(0,sK7)
| ~ mem(int,get(int,int,sF54,sF33),sF39)
| $less(0,0)
| ~ spl59_206 ),
inference(superposition,[],[f1481,f2065]) ).
tff(f1481,plain,
! [X23: $int] :
( ~ mem(int,get(int,int,sF54,t2tb1(X23)),sF39)
| ~ $less(X23,sK7)
| $less(X23,0) ),
inference(forward_demodulation,[],[f546,f329]) ).
tff(f546,plain,
! [X23: $int] :
( ~ mem(int,t2tb1(tb2t1(get(int,int,sF54,t2tb1(X23)))),sF39)
| ~ $less(X23,sK7)
| $less(X23,0) ),
inference(definition_folding,[],[f499,f514,f539]) ).
tff(f499,plain,
! [X23: $int] :
( ~ $less(X23,sK7)
| $less(X23,0)
| ~ mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK0),t2tb1(X23)))),t2tb(sK4)) ),
inference(equality_resolution,[],[f489]) ).
tff(f489,plain,
! [X22: $int,X23: $int] :
( ~ $less(X23,sK7)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X23))) != X22 )
| $less(X23,0)
| ~ mem(int,t2tb1(X22),t2tb(sK4)) ),
inference(definition_unfolding,[],[f353,f357]) ).
tff(f353,plain,
! [X22: $int,X23: $int] :
( ~ $less(X23,sK2)
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(X23))) != X22 )
| $less(X23,0)
| ~ mem(int,t2tb1(X22),t2tb(sK4)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f2148,plain,
( spl59_130
| spl59_214
| ~ spl59_6 ),
inference(avatar_split_clause,[],[f2136,f595,f2145,f1385]) ).
tff(f2145,plain,
( spl59_214
<=> mem(int,t2tb1(max_elt1(sK9)),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_214])]) ).
tff(f2136,plain,
( mem(int,t2tb1(max_elt1(sK9)),sF50)
| ( 0 = cardinal1(int,sF50) )
| ~ spl59_6 ),
inference(superposition,[],[f2128,f597]) ).
tff(f2143,plain,
( spl59_213
| ~ spl59_37
| ~ spl59_40
| spl59_90 ),
inference(avatar_split_clause,[],[f2138,f1109,f765,f750,f2140]) ).
tff(f2138,plain,
( mem(int,t2tb1(max_elt1(sK4)),sF39)
| ~ spl59_37
| ~ spl59_40
| spl59_90 ),
inference(subsumption_resolution,[],[f2137,f1111]) ).
tff(f2137,plain,
( mem(int,t2tb1(max_elt1(sK4)),sF39)
| ( 0 = sF57 )
| ~ spl59_37
| ~ spl59_40 ),
inference(forward_demodulation,[],[f2134,f752]) ).
tff(f2134,plain,
( mem(int,t2tb1(max_elt1(sK4)),sF39)
| ( 0 = cardinal1(int,sF39) )
| ~ spl59_40 ),
inference(superposition,[],[f2128,f767]) ).
tff(f2109,plain,
( spl59_211
| spl59_212
| spl59_137 ),
inference(avatar_split_clause,[],[f2100,f1435,f2106,f2102]) ).
tff(f2100,plain,
( ( 0 = sK18(0) )
| $less(0,sK18(0))
| spl59_137 ),
inference(resolution,[],[f1437,f100]) ).
tff(f2092,plain,
( spl59_209
| spl59_210
| spl59_142 ),
inference(avatar_split_clause,[],[f2083,f1498,f2089,f2085]) ).
tff(f2083,plain,
( ( sK7 = sK15 )
| $less(sK7,sK15)
| spl59_142 ),
inference(resolution,[],[f1500,f100]) ).
tff(f2082,plain,
( spl59_165
| spl59_208
| spl59_140 ),
inference(avatar_split_clause,[],[f2077,f1490,f2079,f1748]) ).
tff(f1748,plain,
( spl59_165
<=> $less(0,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_165])]) ).
tff(f2079,plain,
( spl59_208
<=> ( 0 = sK15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_208])]) ).
tff(f2077,plain,
( ( 0 = sK15 )
| $less(0,sK15)
| spl59_140 ),
inference(resolution,[],[f1491,f100]) ).
tff(f2075,plain,
( spl59_207
| spl59_152
| spl59_143 ),
inference(avatar_split_clause,[],[f2070,f1503,f1579,f2072]) ).
tff(f2070,plain,
( $less(0,sF37)
| ( 0 = sF37 )
| spl59_143 ),
inference(resolution,[],[f1504,f100]) ).
tff(f2066,plain,
( spl59_206
| ~ spl59_10
| ~ spl59_85 ),
inference(avatar_split_clause,[],[f2053,f1062,f615,f2063]) ).
tff(f1062,plain,
( spl59_85
<=> ( 0 = sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_85])]) ).
tff(f2053,plain,
( ( sF33 = t2tb1(0) )
| ~ spl59_10
| ~ spl59_85 ),
inference(superposition,[],[f617,f1064]) ).
tff(f1064,plain,
( ( 0 = sK16 )
| ~ spl59_85 ),
inference(avatar_component_clause,[],[f1062]) ).
tff(f2061,plain,
( spl59_136
| ~ spl59_78
| ~ spl59_85 ),
inference(avatar_split_clause,[],[f2052,f1062,f1016,f1426]) ).
tff(f2052,plain,
( $less(0,n1)
| ~ spl59_78
| ~ spl59_85 ),
inference(superposition,[],[f1018,f1064]) ).
tff(f2060,plain,
( spl59_205
| ~ spl59_45
| ~ spl59_85 ),
inference(avatar_split_clause,[],[f2055,f1062,f790,f2057]) ).
tff(f2055,plain,
( $less(0,sK14)
| ~ spl59_45
| ~ spl59_85 ),
inference(superposition,[],[f792,f1064]) ).
tff(f2050,plain,
( spl59_204
| spl59_135
| ~ spl59_136 ),
inference(avatar_split_clause,[],[f1733,f1426,f1422,f2047]) ).
tff(f2047,plain,
( spl59_204
<=> ( 0 = tb2t1(get(int,int,sF54,t2tb1(sK18(0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_204])]) ).
tff(f1733,plain,
( mem(int,t2tb1(0),sF39)
| ~ $less(0,n1)
| ( 0 = tb2t1(get(int,int,sF54,t2tb1(sK18(0)))) ) ),
inference(interpreted_simplification,[],[f1732]) ).
tff(f1732,plain,
( ( 0 = tb2t1(get(int,int,sF54,t2tb1(sK18(0)))) )
| mem(int,t2tb1(0),sF39)
| $less(0,0)
| ~ $less(0,n1) ),
inference(instantiation,[],[f550]) ).
tff(f550,plain,
! [X22: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(sK18(X22)))) = X22 )
| mem(int,t2tb1(X22),sF39)
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(definition_folding,[],[f349,f539,f514]) ).
tff(f349,plain,
! [X22: $int] :
( mem(int,t2tb1(X22),t2tb(sK4))
| ( tb2t1(get(int,int,t2tb2(sK0),t2tb1(sK18(X22)))) = X22 )
| $less(X22,0)
| ~ $less(X22,n1) ),
inference(cnf_transformation,[],[f249]) ).
tff(f2045,plain,
( spl59_202
| spl59_203
| spl59_143
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f1903,f570,f1503,f2042,f2039]) ).
tff(f2039,plain,
( spl59_202
<=> ! [X0: $int] :
( ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sF37,X0),sF56) )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_202])]) ).
tff(f2042,plain,
( spl59_203
<=> mem(int,sF38,sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_203])]) ).
tff(f1903,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(sF37,0)
| $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sF37,X0),sF56) )
| mem(int,sF38,sF46) )
| ~ spl59_1 ),
inference(superposition,[],[f553,f572]) ).
tff(f2037,plain,
( spl59_200
| spl59_201
| spl59_140
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f1901,f837,f1490,f2035,f2031]) ).
tff(f2031,plain,
( spl59_200
<=> mem(int,sF34,sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_200])]) ).
tff(f2035,plain,
( spl59_201
<=> ! [X0: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK15,X0),sF56) )
| ~ $less(X0,sK7)
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_201])]) ).
tff(f1901,plain,
( ! [X0: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK15,X0),sF56) )
| mem(int,sF34,sF46)
| $less(sK15,0)
| $less(X0,0)
| ~ $less(X0,sK7) )
| ~ spl59_53 ),
inference(superposition,[],[f553,f839]) ).
tff(f2029,plain,
( spl59_140
| spl59_198
| spl59_199
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f1940,f837,f2026,f2023,f1490]) ).
tff(f2023,plain,
( spl59_198
<=> ! [X0: $int] :
( $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK15,sK7),$uminus(X0)) )
| ~ $less(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_198])]) ).
tff(f2026,plain,
( spl59_199
<=> mem(int,sF34,sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_199])]) ).
tff(f1940,plain,
( ! [X0: $int] :
( $less(sK15,0)
| $less(X0,0)
| mem(int,sF34,sF48)
| ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK15,sK7),$uminus(X0)) ) )
| ~ spl59_53 ),
inference(superposition,[],[f564,f839]) ).
tff(f2021,plain,
( spl59_143
| spl59_196
| spl59_197
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f1942,f570,f2019,f2015,f1503]) ).
tff(f2015,plain,
( spl59_196
<=> mem(int,sF38,sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_196])]) ).
tff(f2019,plain,
( spl59_197
<=> ! [X0: $int] :
( ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sF37,sK7),$uminus(X0)) )
| ~ $less(X0,sK7)
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_197])]) ).
tff(f1942,plain,
( ! [X0: $int] :
( $less(sF37,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sF37,sK7),$uminus(X0)) )
| mem(int,sF38,sF48)
| $less(X0,0)
| ~ $less(X0,sK7) )
| ~ spl59_1 ),
inference(superposition,[],[f564,f572]) ).
tff(f2013,plain,
( ~ spl59_135
| spl59_136 ),
inference(avatar_contradiction_clause,[],[f2012]) ).
tff(f2012,plain,
( $false
| ~ spl59_135
| spl59_136 ),
inference(subsumption_resolution,[],[f2001,f1424]) ).
tff(f2001,plain,
( ~ mem(int,t2tb1(0),sF39)
| spl59_136 ),
inference(resolution,[],[f1428,f548]) ).
tff(f1428,plain,
( ~ $less(0,n1)
| spl59_136 ),
inference(avatar_component_clause,[],[f1426]) ).
tff(f2011,plain,
( spl59_194
| spl59_195
| spl59_136 ),
inference(avatar_split_clause,[],[f2002,f1426,f2008,f2004]) ).
tff(f2004,plain,
( spl59_194
<=> ( 0 = n1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_194])]) ).
tff(f2002,plain,
( $less(n1,0)
| ( 0 = n1 )
| spl59_136 ),
inference(resolution,[],[f1428,f100]) ).
tff(f2000,plain,
( spl59_193
| ~ spl59_136 ),
inference(avatar_split_clause,[],[f1994,f1426,f1998]) ).
tff(f1998,plain,
( spl59_193
<=> ! [X0: map_int_int,X1: map_int_int] :
( lt_sol1(X0,X1)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(0))),tb2t1(get(int,int,t2tb2(X1),t2tb1(0))))
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_193])]) ).
tff(f1994,plain,
! [X0: map_int_int,X1: map_int_int] :
( lt_sol1(X0,X1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),0)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(0))),tb2t1(get(int,int,t2tb2(X1),t2tb1(0))))
| ~ $less(0,n1) ),
inference(interpreted_simplification,[],[f1993]) ).
tff(f1993,plain,
! [X0: map_int_int,X1: map_int_int] :
( lt_sol1(X0,X1)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(0))),tb2t1(get(int,int,t2tb2(X1),t2tb1(0))))
| ~ $less(0,n1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),0)
| $less(0,0) ),
inference(instantiation,[],[f427]) ).
tff(f427,plain,
! [X3: $int,X0: map_int_int,X1: map_int_int] :
( lt_sol1(X0,X1)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))
| ~ $less(X3,n1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3)
| $less(X3,0) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: map_int_int,X1: map_int_int] :
( ( ( $less(sK24(X0,X1),n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1))
& ~ $less(sK24(X0,X1),0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) )
| ~ lt_sol1(X0,X1) )
& ( lt_sol1(X0,X1)
| ! [X3: $int] :
( ~ $less(X3,n1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3)
| $less(X3,0)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f280,f281]) ).
tff(f281,plain,
! [X0: map_int_int,X1: map_int_int] :
( ? [X2: $int] :
( $less(X2,n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)
& ~ $less(X2,0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) )
=> ( $less(sK24(X0,X1),n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1))
& ~ $less(sK24(X0,X1),0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) ) ),
introduced(choice_axiom,[]) ).
tff(f280,plain,
! [X0: map_int_int,X1: map_int_int] :
( ( ? [X2: $int] :
( $less(X2,n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)
& ~ $less(X2,0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) )
| ~ lt_sol1(X0,X1) )
& ( lt_sol1(X0,X1)
| ! [X3: $int] :
( ~ $less(X3,n1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3)
| $less(X3,0)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) ) ) ),
inference(rectify,[],[f279]) ).
tff(f279,plain,
! [X0: map_int_int,X1: map_int_int] :
( ( ? [X2: $int] :
( $less(X2,n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)
& ~ $less(X2,0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) )
| ~ lt_sol1(X0,X1) )
& ( lt_sol1(X0,X1)
| ! [X2: $int] :
( ~ $less(X2,n1)
| ~ eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)
| $less(X2,0)
| ~ $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) ) ) ),
inference(nnf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: map_int_int,X1: map_int_int] :
( ? [X2: $int] :
( $less(X2,n1)
& eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)
& ~ $less(X2,0)
& $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) )
<=> lt_sol1(X0,X1) ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X8: map_int_int,X9: map_int_int] :
( ? [X12: $int] :
( eq_prefix1(int,t2tb2(X8),t2tb2(X9),X12)
& $less(X12,n1)
& ~ $less(X12,0)
& $less(tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))),tb2t1(get(int,int,t2tb2(X9),t2tb1(X12)))) )
<=> lt_sol1(X8,X9) ),
inference(theory_normalization,[],[f70]) ).
tff(f70,axiom,
! [X8: map_int_int,X9: map_int_int] :
( ? [X12: $int] :
( eq_prefix1(int,t2tb2(X8),t2tb2(X9),X12)
& $less(X12,n1)
& $lesseq(0,X12)
& $less(tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))),tb2t1(get(int,int,t2tb2(X9),t2tb1(X12)))) )
<=> lt_sol1(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1969,plain,
( spl59_191
| spl59_192
| spl59_7
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f1961,f670,f600,f1967,f1963]) ).
tff(f1963,plain,
( spl59_191
<=> mem(int,sF43,sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_191])]) ).
tff(f1967,plain,
( spl59_192
<=> ! [X0: $int] :
( ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,sK7),$uminus(X0)) )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_192])]) ).
tff(f1961,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,0)
| mem(int,sF43,sF48)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,sK7),$uminus(X0)) ) )
| spl59_7
| ~ spl59_21 ),
inference(subsumption_resolution,[],[f1939,f602]) ).
tff(f1939,plain,
( ! [X0: $int] :
( $less(X0,0)
| mem(int,sF43,sF48)
| $less(sK7,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,sK7),$uminus(X0)) )
| ~ $less(X0,sK7) )
| ~ spl59_21 ),
inference(superposition,[],[f564,f672]) ).
tff(f1960,plain,
( ~ spl59_190
| ~ spl59_82
| spl59_112 ),
inference(avatar_split_clause,[],[f1955,f1271,f1049,f1957]) ).
tff(f1957,plain,
( spl59_190
<=> ( sK7 = tb2t1(get(int,int,sF54,t2tb1(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_190])]) ).
tff(f1955,plain,
( ( sK7 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ spl59_82
| spl59_112 ),
inference(subsumption_resolution,[],[f1954,f1051]) ).
tff(f1954,plain,
( ~ $less(0,sK7)
| ( sK7 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| spl59_112 ),
inference(subsumption_resolution,[],[f1944,f1273]) ).
tff(f1944,plain,
( mem(int,t2tb1(0),sF48)
| ( sK7 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ $less(0,sK7) ),
inference(evaluation,[],[f1935]) ).
tff(f1935,plain,
( ( $sum($sum(0,sK7),$uminus(0)) != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ $less(0,sK7)
| mem(int,t2tb1(0),sF48) ),
inference(interpreted_simplification,[],[f1934]) ).
tff(f1934,plain,
( mem(int,t2tb1(0),sF48)
| $less(0,0)
| $less(0,0)
| ~ $less(0,sK7)
| ( $sum($sum(0,sK7),$uminus(0)) != tb2t1(get(int,int,sF54,t2tb1(0))) ) ),
inference(instantiation,[],[f564]) ).
tff(f1953,plain,
( spl59_188
| spl59_189
| ~ spl59_10
| spl59_47 ),
inference(avatar_split_clause,[],[f1945,f800,f615,f1951,f1947]) ).
tff(f1951,plain,
( spl59_189
<=> ! [X0: $int] :
( ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,sK7),$uminus(X0)) )
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_189])]) ).
tff(f1945,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(X0,0)
| mem(int,sF33,sF48)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,sK7),$uminus(X0)) ) )
| ~ spl59_10
| spl59_47 ),
inference(subsumption_resolution,[],[f1941,f802]) ).
tff(f1941,plain,
( ! [X0: $int] :
( $less(sK16,0)
| mem(int,sF33,sF48)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,sK7),$uminus(X0)) )
| $less(X0,0)
| ~ $less(X0,sK7) )
| ~ spl59_10 ),
inference(superposition,[],[f564,f617]) ).
tff(f1930,plain,
( spl59_186
| spl59_187
| spl59_7
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f1922,f670,f600,f1928,f1924]) ).
tff(f1924,plain,
( spl59_186
<=> mem(int,sF43,sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_186])]) ).
tff(f1928,plain,
( spl59_187
<=> ! [X0: $int] :
( $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,X0),sF56) )
| ~ $less(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_187])]) ).
tff(f1922,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,X0),sF56) )
| mem(int,sF43,sF46) )
| spl59_7
| ~ spl59_21 ),
inference(subsumption_resolution,[],[f1900,f602]) ).
tff(f1900,plain,
( ! [X0: $int] :
( mem(int,sF43,sF46)
| ~ $less(X0,sK7)
| $less(sK7,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK7,X0),sF56) )
| $less(X0,0) )
| ~ spl59_21 ),
inference(superposition,[],[f553,f672]) ).
tff(f1921,plain,
( ~ spl59_185
| ~ spl59_82
| spl59_104 ),
inference(avatar_split_clause,[],[f1916,f1214,f1049,f1918]) ).
tff(f1918,plain,
( spl59_185
<=> ( sF56 = tb2t1(get(int,int,sF54,t2tb1(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_185])]) ).
tff(f1916,plain,
( ( sF56 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ spl59_82
| spl59_104 ),
inference(subsumption_resolution,[],[f1915,f1216]) ).
tff(f1915,plain,
( mem(int,t2tb1(0),sF46)
| ( sF56 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f1904,f1051]) ).
tff(f1904,plain,
( ( sF56 != tb2t1(get(int,int,sF54,t2tb1(0))) )
| ~ $less(0,sK7)
| mem(int,t2tb1(0),sF46) ),
inference(evaluation,[],[f1896]) ).
tff(f1896,plain,
( ~ $less(0,sK7)
| mem(int,t2tb1(0),sF46)
| ( tb2t1(get(int,int,sF54,t2tb1(0))) != $sum($sum(0,0),sF56) ) ),
inference(interpreted_simplification,[],[f1895]) ).
tff(f1895,plain,
( mem(int,t2tb1(0),sF46)
| $less(0,0)
| ~ $less(0,sK7)
| ( tb2t1(get(int,int,sF54,t2tb1(0))) != $sum($sum(0,0),sF56) )
| $less(0,0) ),
inference(instantiation,[],[f553]) ).
tff(f1914,plain,
( spl59_183
| spl59_184
| ~ spl59_10
| spl59_47 ),
inference(avatar_split_clause,[],[f1906,f800,f615,f1911,f1908]) ).
tff(f1908,plain,
( spl59_183
<=> ! [X0: $int] :
( $less(X0,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,X0),sF56) )
| ~ $less(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_183])]) ).
tff(f1906,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK7)
| mem(int,sF33,sF46)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,X0),sF56) ) )
| ~ spl59_10
| spl59_47 ),
inference(subsumption_resolution,[],[f1902,f802]) ).
tff(f1902,plain,
( ! [X0: $int] :
( ~ $less(X0,sK7)
| $less(sK16,0)
| ( tb2t1(get(int,int,sF54,t2tb1(X0))) != $sum($sum(sK16,X0),sF56) )
| $less(X0,0)
| mem(int,sF33,sF46) )
| ~ spl59_10 ),
inference(superposition,[],[f553,f617]) ).
tff(f1891,plain,
( ~ spl59_182
| ~ spl59_179 ),
inference(avatar_split_clause,[],[f1880,f1869,f1888]) ).
tff(f1888,plain,
( spl59_182
<=> mem(int,t2tb1(sK10),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_182])]) ).
tff(f1869,plain,
( spl59_179
<=> $less(sK10,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_179])]) ).
tff(f1880,plain,
( ~ mem(int,t2tb1(sK10),sF39)
| ~ spl59_179 ),
inference(resolution,[],[f1871,f547]) ).
tff(f1871,plain,
( $less(sK10,0)
| ~ spl59_179 ),
inference(avatar_component_clause,[],[f1869]) ).
tff(f1886,plain,
( spl59_181
| ~ spl59_179 ),
inference(avatar_split_clause,[],[f1879,f1869,f1883]) ).
tff(f1879,plain,
( ( 0 = cardinal1(int,t2tb(below1(sK10))) )
| ~ spl59_179 ),
inference(resolution,[],[f1871,f335]) ).
tff(f1876,plain,
( spl59_179
| spl59_180
| spl59_176 ),
inference(avatar_split_clause,[],[f1867,f1852,f1873,f1869]) ).
tff(f1867,plain,
( $less(sK10,0)
| ( 0 = sK10 )
| spl59_176 ),
inference(resolution,[],[f1854,f100]) ).
tff(f1854,plain,
( ~ $less(0,sK10)
| spl59_176 ),
inference(avatar_component_clause,[],[f1852]) ).
tff(f1864,plain,
( spl59_177
| spl59_178
| ~ spl59_176
| ~ spl59_53
| ~ spl59_140 ),
inference(avatar_split_clause,[],[f1856,f1490,f837,f1852,f1861,f1858]) ).
tff(f1858,plain,
( spl59_177
<=> ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,sF34),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_177])]) ).
tff(f1856,plain,
( ! [X0: map_int_int] :
( ~ $less(0,sK10)
| $less(sK15,sK5)
| ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,sF34),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) )
| ~ spl59_53
| ~ spl59_140 ),
inference(forward_demodulation,[],[f1840,f839]) ).
tff(f1840,plain,
( ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(sK15)),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51)
| ~ $less(0,sK10)
| $less(sK15,sK5) )
| ~ spl59_140 ),
inference(resolution,[],[f536,f1539]) ).
tff(f1539,plain,
( ! [X0: $int] :
( $less(sK15,X0)
| ~ $less(0,X0) )
| ~ spl59_140 ),
inference(resolution,[],[f1492,f99]) ).
tff(f1492,plain,
( $less(sK15,0)
| ~ spl59_140 ),
inference(avatar_component_clause,[],[f1490]) ).
tff(f1855,plain,
( spl59_174
| spl59_175
| ~ spl59_176
| ~ spl59_1
| ~ spl59_143 ),
inference(avatar_split_clause,[],[f1843,f1503,f570,f1852,f1848,f1845]) ).
tff(f1845,plain,
( spl59_174
<=> ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,sF38),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_174])]) ).
tff(f1843,plain,
( ! [X0: map_int_int] :
( ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,sF38),n1)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51)
| $less(sF37,sK5)
| ~ $less(0,sK10) )
| ~ spl59_1
| ~ spl59_143 ),
inference(forward_demodulation,[],[f1842,f572]) ).
tff(f1842,plain,
( ! [X0: map_int_int] :
( $less(sF37,sK5)
| mem(int,get(int,int,t2tb2(X0),sF43),sF51)
| ~ $less(0,sK10)
| ~ eq_prefix1(int,t2tb2(X0),get(sF52,int,sF53,t2tb1(sF37)),n1) )
| ~ spl59_143 ),
inference(resolution,[],[f536,f1535]) ).
tff(f1535,plain,
( ! [X0: $int] :
( $less(sF37,X0)
| ~ $less(0,X0) )
| ~ spl59_143 ),
inference(resolution,[],[f1505,f99]) ).
tff(f1814,plain,
( spl59_172
| spl59_173
| ~ spl59_35 ),
inference(avatar_split_clause,[],[f1789,f740,f1812,f1808]) ).
tff(f1808,plain,
( spl59_172
<=> eq_prefix1(int,sF42,sF42,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_172])]) ).
tff(f1812,plain,
( spl59_173
<=> ! [X0: $int] :
( ~ $less(X0,sK10)
| ~ eq_prefix1(int,sF42,get(sF52,int,sF53,t2tb1(X0)),n1)
| $less(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_173])]) ).
tff(f1789,plain,
( ! [X0: $int] :
( ~ $less(X0,sK10)
| $less(X0,sK5)
| eq_prefix1(int,sF42,sF42,sK7)
| ~ eq_prefix1(int,sF42,get(sF52,int,sF53,t2tb1(X0)),n1) )
| ~ spl59_35 ),
inference(superposition,[],[f535,f742]) ).
tff(f535,plain,
! [X19: $int,X17: map_int_int] :
( eq_prefix1(int,sF42,t2tb2(X17),sK7)
| ~ eq_prefix1(int,t2tb2(X17),get(sF52,int,sF53,t2tb1(X19)),n1)
| ~ $less(X19,sK10)
| $less(X19,sK5) ),
inference(definition_folding,[],[f366,f532,f531,f519]) ).
tff(f519,plain,
t2tb2(sK8) = sF42,
introduced(function_definition,[new_symbols(definition,[sF42])]) ).
tff(f366,plain,
! [X19: $int,X17: map_int_int] :
( eq_prefix1(int,t2tb2(sK8),t2tb2(X17),sK7)
| ~ $less(X19,sK10)
| ~ eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK11),t2tb1(X19)),n1)
| $less(X19,sK5) ),
inference(cnf_transformation,[],[f249]) ).
tff(f1806,plain,
( spl59_170
| spl59_171
| ~ spl59_13 ),
inference(avatar_split_clause,[],[f1788,f630,f1803,f1800]) ).
tff(f1800,plain,
( spl59_170
<=> ! [X0: $int] :
( $less(X0,sK5)
| ~ eq_prefix1(int,sF54,get(sF52,int,sF53,t2tb1(X0)),n1)
| ~ $less(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_170])]) ).
tff(f1803,plain,
( spl59_171
<=> eq_prefix1(int,sF42,sF54,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_171])]) ).
tff(f1788,plain,
( ! [X0: $int] :
( $less(X0,sK5)
| ~ $less(X0,sK10)
| eq_prefix1(int,sF42,sF54,sK7)
| ~ eq_prefix1(int,sF54,get(sF52,int,sF53,t2tb1(X0)),n1) )
| ~ spl59_13 ),
inference(superposition,[],[f535,f632]) ).
tff(f1798,plain,
( spl59_168
| spl59_169
| ~ spl59_29 ),
inference(avatar_split_clause,[],[f1790,f710,f1796,f1792]) ).
tff(f1792,plain,
( spl59_168
<=> eq_prefix1(int,sF42,sF32,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_168])]) ).
tff(f1796,plain,
( spl59_169
<=> ! [X0: $int] :
( ~ eq_prefix1(int,sF32,get(sF52,int,sF53,t2tb1(X0)),n1)
| ~ $less(X0,sK10)
| $less(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_169])]) ).
tff(f710,plain,
( spl59_29
<=> ( t2tb2(sK13) = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_29])]) ).
tff(f1790,plain,
( ! [X0: $int] :
( ~ eq_prefix1(int,sF32,get(sF52,int,sF53,t2tb1(X0)),n1)
| eq_prefix1(int,sF42,sF32,sK7)
| $less(X0,sK5)
| ~ $less(X0,sK10) )
| ~ spl59_29 ),
inference(superposition,[],[f535,f712]) ).
tff(f712,plain,
( ( t2tb2(sK13) = sF32 )
| ~ spl59_29 ),
inference(avatar_component_clause,[],[f710]) ).
tff(f1784,plain,
~ spl59_167,
inference(avatar_split_clause,[],[f1772,f1781]) ).
tff(f1781,plain,
( spl59_167
<=> mem(int,t2tb1(0),t2tb(below1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_167])]) ).
tff(f1772,plain,
~ mem(int,t2tb1(0),t2tb(below1(0))),
inference(interpreted_simplification,[],[f1771]) ).
tff(f1771,plain,
( ~ mem(int,t2tb1(0),t2tb(below1(0)))
| $less(0,0) ),
inference(instantiation,[],[f423]) ).
tff(f1756,plain,
( spl59_166
| ~ spl59_140 ),
inference(avatar_split_clause,[],[f1736,f1490,f1753]) ).
tff(f1736,plain,
( $less(sK15,1)
| ~ spl59_140 ),
inference(interpreted_simplification,[],[f1735]) ).
tff(f1735,plain,
( $less(sK15,1)
| ~ $less(0,1)
| ~ spl59_140 ),
inference(instantiation,[],[f1539]) ).
tff(f1751,plain,
( ~ spl59_165
| ~ spl59_140 ),
inference(avatar_split_clause,[],[f1737,f1490,f1748]) ).
tff(f1737,plain,
( ~ $less(0,sK15)
| ~ spl59_140 ),
inference(resolution,[],[f1539,f98]) ).
tff(f1682,plain,
( spl59_162
| spl59_164
| ~ spl59_78 ),
inference(avatar_split_clause,[],[f1667,f1016,f1680,f1672]) ).
tff(f1672,plain,
( spl59_162
<=> $less(sK16,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_162])]) ).
tff(f1667,plain,
( ! [X0: set_int] :
( $less(sK16,1)
| mem(int,t2tb1(n1),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(n1,-1)),t2tb(X0)) )
| ~ spl59_78 ),
inference(resolution,[],[f565,f1024]) ).
tff(f1024,plain,
( ! [X0: $int] :
( ~ $less(n1,X0)
| $less(sK16,X0) )
| ~ spl59_78 ),
inference(resolution,[],[f1018,f99]) ).
tff(f1678,plain,
( spl59_162
| spl59_163
| ~ spl59_45 ),
inference(avatar_split_clause,[],[f1666,f790,f1676,f1672]) ).
tff(f1676,plain,
( spl59_163
<=> ! [X0: set_int] :
( mem(int,t2tb1(sK14),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(sK14,-1)),t2tb(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_163])]) ).
tff(f1666,plain,
( ! [X0: set_int] :
( $less(sK16,1)
| mem(int,t2tb1(sK14),t2tb(succ1(X0)))
| ~ mem(int,t2tb1($sum(sK14,-1)),t2tb(X0)) )
| ~ spl59_45 ),
inference(resolution,[],[f565,f1011]) ).
tff(f1011,plain,
( ! [X0: $int] :
( ~ $less(sK14,X0)
| $less(sK16,X0) )
| ~ spl59_45 ),
inference(resolution,[],[f99,f792]) ).
tff(f1661,plain,
( spl59_161
| ~ spl59_158
| ~ spl59_116 ),
inference(avatar_split_clause,[],[f1657,f1303,f1645,f1659]) ).
tff(f1659,plain,
( spl59_161
<=> ! [X0: uni] :
( ~ mem(int,X0,sF40)
| ( choose(int,sF40) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_161])]) ).
tff(f1645,plain,
( spl59_158
<=> ( 1 = sF57 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_158])]) ).
tff(f1657,plain,
( ! [X0: uni] :
( ( 1 != sF57 )
| ~ mem(int,X0,sF40)
| ( choose(int,sF40) = X0 ) )
| ~ spl59_116 ),
inference(subsumption_resolution,[],[f1638,f815]) ).
tff(f1638,plain,
( ! [X0: uni] :
( ~ sort1(int,X0)
| ( 1 != sF57 )
| ~ mem(int,X0,sF40)
| ( choose(int,sF40) = X0 ) )
| ~ spl59_116 ),
inference(superposition,[],[f463,f1305]) ).
tff(f463,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( 1 != cardinal1(X0,X1) )
| ( choose(X0,X1) = X2 )
| ~ sort1(X0,X2)
| ~ mem(X0,X2,X1) ),
inference(cnf_transformation,[],[f307]) ).
tff(f307,plain,
! [X0: ty,X1: uni] :
( ( 1 != cardinal1(X0,X1) )
| ! [X2: uni] :
( ~ mem(X0,X2,X1)
| ( choose(X0,X1) = X2 )
| ~ sort1(X0,X2) ) ),
inference(rectify,[],[f221]) ).
tff(f221,plain,
! [X1: ty,X0: uni] :
( ( 1 != cardinal1(X1,X0) )
| ! [X2: uni] :
( ~ mem(X1,X2,X0)
| ( choose(X1,X0) = X2 )
| ~ sort1(X1,X2) ) ),
inference(flattening,[],[f220]) ).
tff(f220,plain,
! [X1: ty,X0: uni] :
( ! [X2: uni] :
( ( choose(X1,X0) = X2 )
| ~ mem(X1,X2,X0)
| ~ sort1(X1,X2) )
| ( 1 != cardinal1(X1,X0) ) ),
inference(ennf_transformation,[],[f138]) ).
tff(f138,plain,
! [X1: ty,X0: uni] :
( ( 1 = cardinal1(X1,X0) )
=> ! [X2: uni] :
( sort1(X1,X2)
=> ( mem(X1,X2,X0)
=> ( choose(X1,X0) = X2 ) ) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X10: uni,X0: ty] :
( ( cardinal1(X0,X10) = 1 )
=> ! [X1: uni] :
( sort1(X0,X1)
=> ( mem(X0,X1,X10)
=> ( choose(X0,X10) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1656,plain,
( spl59_160
| ~ spl59_158
| ~ spl59_101 ),
inference(avatar_split_clause,[],[f1652,f1195,f1645,f1654]) ).
tff(f1654,plain,
( spl59_160
<=> ! [X0: uni] :
( ~ mem(int,X0,sF47)
| ( choose(int,sF47) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_160])]) ).
tff(f1195,plain,
( spl59_101
<=> ( sF57 = cardinal1(int,sF47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_101])]) ).
tff(f1652,plain,
( ! [X0: uni] :
( ( 1 != sF57 )
| ~ mem(int,X0,sF47)
| ( choose(int,sF47) = X0 ) )
| ~ spl59_101 ),
inference(subsumption_resolution,[],[f1640,f815]) ).
tff(f1640,plain,
( ! [X0: uni] :
( ( 1 != sF57 )
| ( choose(int,sF47) = X0 )
| ~ mem(int,X0,sF47)
| ~ sort1(int,X0) )
| ~ spl59_101 ),
inference(superposition,[],[f463,f1197]) ).
tff(f1197,plain,
( ( sF57 = cardinal1(int,sF47) )
| ~ spl59_101 ),
inference(avatar_component_clause,[],[f1195]) ).
tff(f1651,plain,
( ~ spl59_158
| spl59_159
| ~ spl59_37 ),
inference(avatar_split_clause,[],[f1643,f750,f1649,f1645]) ).
tff(f1649,plain,
( spl59_159
<=> ! [X0: uni] :
( ( choose(int,sF39) = X0 )
| ~ mem(int,X0,sF39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_159])]) ).
tff(f1643,plain,
( ! [X0: uni] :
( ( choose(int,sF39) = X0 )
| ~ mem(int,X0,sF39)
| ( 1 != sF57 ) )
| ~ spl59_37 ),
inference(subsumption_resolution,[],[f1637,f815]) ).
tff(f1637,plain,
( ! [X0: uni] :
( ( 1 != sF57 )
| ~ mem(int,X0,sF39)
| ( choose(int,sF39) = X0 )
| ~ sort1(int,X0) )
| ~ spl59_37 ),
inference(superposition,[],[f463,f752]) ).
tff(f1631,plain,
spl59_157,
inference(avatar_split_clause,[],[f1612,f1628]) ).
tff(f1628,plain,
( spl59_157
<=> ( 0 = cardinal1(int,t2tb(below1(-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_157])]) ).
tff(f1612,plain,
0 = cardinal1(int,t2tb(below1(-1))),
inference(interpreted_simplification,[],[f1611]) ).
tff(f1611,plain,
( ~ $less(-1,0)
| ( 0 = cardinal1(int,t2tb(below1(-1))) ) ),
inference(instantiation,[],[f335]) ).
tff(f1626,plain,
( spl59_156
| ~ spl59_143 ),
inference(avatar_split_clause,[],[f1615,f1503,f1623]) ).
tff(f1615,plain,
( ( 0 = cardinal1(int,t2tb(below1(sF37))) )
| ~ spl59_143 ),
inference(resolution,[],[f335,f1505]) ).
tff(f1621,plain,
( spl59_155
| ~ spl59_140 ),
inference(avatar_split_clause,[],[f1614,f1490,f1618]) ).
tff(f1618,plain,
( spl59_155
<=> ( 0 = cardinal1(int,t2tb(below1(sK15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_155])]) ).
tff(f1614,plain,
( ( 0 = cardinal1(int,t2tb(below1(sK15))) )
| ~ spl59_140 ),
inference(resolution,[],[f335,f1492]) ).
tff(f1606,plain,
spl59_154,
inference(avatar_split_clause,[],[f1599,f1603]) ).
tff(f1603,plain,
( spl59_154
<=> ( 0 = cardinal1(int,t2tb(below1(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_154])]) ).
tff(f1599,plain,
0 = cardinal1(int,t2tb(below1(0))),
inference(interpreted_simplification,[],[f1598]) ).
tff(f1598,plain,
( ( 0 = cardinal1(int,t2tb(below1(0))) )
| $less(0,0) ),
inference(instantiation,[],[f334]) ).
tff(f1588,plain,
( spl59_153
| ~ spl59_143 ),
inference(avatar_split_clause,[],[f1570,f1503,f1585]) ).
tff(f1570,plain,
( $less(sF37,1)
| ~ spl59_143 ),
inference(interpreted_simplification,[],[f1569]) ).
tff(f1569,plain,
( $less(sF37,1)
| ~ $less(0,1)
| ~ spl59_143 ),
inference(instantiation,[],[f1535]) ).
tff(f1582,plain,
( ~ spl59_152
| ~ spl59_143 ),
inference(avatar_split_clause,[],[f1571,f1503,f1579]) ).
tff(f1571,plain,
( ~ $less(0,sF37)
| ~ spl59_143 ),
inference(resolution,[],[f1535,f98]) ).
tff(f1560,plain,
( spl59_151
| ~ spl59_150 ),
inference(avatar_split_clause,[],[f1555,f1549,f1557]) ).
tff(f1557,plain,
( spl59_151
<=> ( sF38 = get(int,int,sF32,sF43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_151])]) ).
tff(f1555,plain,
( ( sF38 = get(int,int,sF32,sF43) )
| ~ spl59_150 ),
inference(subsumption_resolution,[],[f1553,f815]) ).
tff(f1553,plain,
( ( sF38 = get(int,int,sF32,sF43) )
| ~ sort1(int,sF38)
| ~ spl59_150 ),
inference(superposition,[],[f502,f1551]) ).
tff(f502,plain,
! [X3: ty,X0: ty,X1: uni,X4: uni,X5: uni] :
( ( get(X3,X0,set1(X3,X0,X1,X5,X4),X5) = X4 )
| ~ sort1(X3,X4) ),
inference(equality_resolution,[],[f467]) ).
tff(f467,plain,
! [X2: uni,X3: ty,X0: ty,X1: uni,X4: uni,X5: uni] :
( ( X2 != X5 )
| ~ sort1(X3,X4)
| ( get(X3,X0,set1(X3,X0,X1,X5,X4),X2) = X4 ) ),
inference(cnf_transformation,[],[f310]) ).
tff(f310,plain,
! [X0: ty,X1: uni,X2: uni,X3: ty,X4: uni,X5: uni] :
( ( X2 != X5 )
| ~ sort1(X3,X4)
| ( get(X3,X0,set1(X3,X0,X1,X5,X4),X2) = X4 ) ),
inference(rectify,[],[f210]) ).
tff(f210,plain,
! [X2: ty,X0: uni,X4: uni,X5: ty,X3: uni,X1: uni] :
( ( X1 != X4 )
| ~ sort1(X5,X3)
| ( get(X5,X2,set1(X5,X2,X0,X1,X3),X4) = X3 ) ),
inference(flattening,[],[f209]) ).
tff(f209,plain,
! [X3: uni,X4: uni,X0: uni,X1: uni,X5: ty,X2: ty] :
( ( get(X5,X2,set1(X5,X2,X0,X1,X3),X4) = X3 )
| ( X1 != X4 )
| ~ sort1(X5,X3) ),
inference(ennf_transformation,[],[f136]) ).
tff(f136,plain,
! [X3: uni,X4: uni,X0: uni,X1: uni,X5: ty,X2: ty] :
( sort1(X5,X3)
=> ( ( X1 = X4 )
=> ( get(X5,X2,set1(X5,X2,X0,X1,X3),X4) = X3 ) ) ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X16: uni,X17: uni,X0: ty,X19: uni,X18: uni,X15: ty] :
( sort1(X15,X19)
=> ( ( X17 = X18 )
=> ( get(X15,X0,set1(X15,X0,X16,X17,X19),X18) = X19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1552,plain,
( spl59_150
| ~ spl59_17
| ~ spl59_67 ),
inference(avatar_split_clause,[],[f1547,f934,f650,f1549]) ).
tff(f650,plain,
( spl59_17
<=> ( set1(int,int,sF42,sF43,sF38) = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_17])]) ).
tff(f934,plain,
( spl59_67
<=> ( sF32 = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_67])]) ).
tff(f1547,plain,
( ( sF32 = set1(int,int,sF42,sF43,sF38) )
| ~ spl59_17
| ~ spl59_67 ),
inference(forward_demodulation,[],[f652,f936]) ).
tff(f936,plain,
( ( sF32 = sF44 )
| ~ spl59_67 ),
inference(avatar_component_clause,[],[f934]) ).
tff(f652,plain,
( ( set1(int,int,sF42,sF43,sF38) = sF44 )
| ~ spl59_17 ),
inference(avatar_component_clause,[],[f650]) ).
tff(f1545,plain,
( ~ spl59_149
| ~ spl59_53
| ~ spl59_140 ),
inference(avatar_split_clause,[],[f1540,f1490,f837,f1542]) ).
tff(f1540,plain,
( ~ mem(int,sF34,sF39)
| ~ spl59_53
| ~ spl59_140 ),
inference(forward_demodulation,[],[f1538,f839]) ).
tff(f1538,plain,
( ~ mem(int,t2tb1(sK15),sF39)
| ~ spl59_140 ),
inference(resolution,[],[f1492,f547]) ).
tff(f1537,plain,
( ~ spl59_139
| ~ spl59_1
| ~ spl59_143 ),
inference(avatar_split_clause,[],[f1536,f1503,f570,f1470]) ).
tff(f1470,plain,
( spl59_139
<=> mem(int,sF38,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_139])]) ).
tff(f1536,plain,
( ~ mem(int,sF38,sF39)
| ~ spl59_1
| ~ spl59_143 ),
inference(forward_demodulation,[],[f1534,f572]) ).
tff(f1534,plain,
( ~ mem(int,t2tb1(sF37),sF39)
| ~ spl59_143 ),
inference(resolution,[],[f1505,f547]) ).
tff(f1530,plain,
( ~ spl59_148
| ~ spl59_82 ),
inference(avatar_split_clause,[],[f1525,f1049,f1527]) ).
tff(f1527,plain,
( spl59_148
<=> mem(int,get(int,int,sF54,t2tb1(0)),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_148])]) ).
tff(f1525,plain,
( ~ mem(int,get(int,int,sF54,t2tb1(0)),sF39)
| ~ spl59_82 ),
inference(subsumption_resolution,[],[f1483,f1051]) ).
tff(f1483,plain,
( ~ mem(int,get(int,int,sF54,t2tb1(0)),sF39)
| ~ $less(0,sK7) ),
inference(interpreted_simplification,[],[f1482]) ).
tff(f1482,plain,
( ~ mem(int,get(int,int,sF54,t2tb1(0)),sF39)
| ~ $less(0,sK7)
| $less(0,0) ),
inference(instantiation,[],[f1481]) ).
tff(f1524,plain,
( ~ spl59_146
| ~ spl59_147
| ~ spl59_10
| spl59_47 ),
inference(avatar_split_clause,[],[f1515,f800,f615,f1521,f1517]) ).
tff(f1515,plain,
( ~ $less(sK16,sK7)
| ~ mem(int,get(int,int,sF54,sF33),sF39)
| ~ spl59_10
| spl59_47 ),
inference(subsumption_resolution,[],[f1487,f802]) ).
tff(f1487,plain,
( ~ $less(sK16,sK7)
| $less(sK16,0)
| ~ mem(int,get(int,int,sF54,sF33),sF39)
| ~ spl59_10 ),
inference(superposition,[],[f1481,f617]) ).
tff(f1514,plain,
( spl59_143
| ~ spl59_144
| ~ spl59_145
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f1488,f570,f1511,f1507,f1503]) ).
tff(f1488,plain,
( ~ mem(int,get(int,int,sF54,sF38),sF39)
| $less(sF37,0)
| ~ $less(sF37,sK7)
| ~ spl59_1 ),
inference(superposition,[],[f1481,f572]) ).
tff(f1501,plain,
( spl59_140
| ~ spl59_141
| ~ spl59_142
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f1486,f837,f1498,f1494,f1490]) ).
tff(f1494,plain,
( spl59_141
<=> mem(int,get(int,int,sF54,sF34),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_141])]) ).
tff(f1486,plain,
( ~ $less(sK15,sK7)
| ~ mem(int,get(int,int,sF54,sF34),sF39)
| $less(sK15,0)
| ~ spl59_53 ),
inference(superposition,[],[f1481,f839]) ).
tff(f1473,plain,
( spl59_138
| ~ spl59_139
| ~ spl59_31
| ~ spl59_37 ),
inference(avatar_split_clause,[],[f1464,f750,f720,f1470,f1466]) ).
tff(f1466,plain,
( spl59_138
<=> ( sF57 = $sum(1,cardinal1(int,sF40)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_138])]) ).
tff(f1464,plain,
( ( sF57 = $sum(1,cardinal1(int,sF40)) )
| ~ mem(int,sF38,sF39)
| ~ spl59_31
| ~ spl59_37 ),
inference(forward_demodulation,[],[f1462,f752]) ).
tff(f1462,plain,
( ( cardinal1(int,sF39) = $sum(1,cardinal1(int,sF40)) )
| ~ mem(int,sF38,sF39)
| ~ spl59_31 ),
inference(superposition,[],[f327,f722]) ).
tff(f327,plain,
! [X2: ty,X0: uni,X1: uni] :
( ( cardinal1(X2,X0) = $sum(1,cardinal1(X2,remove(X2,X1,X0))) )
| ~ mem(X2,X1,X0) ),
inference(cnf_transformation,[],[f230]) ).
tff(f230,plain,
! [X0: uni,X1: uni,X2: ty] :
( ( cardinal1(X2,X0) = $sum(1,cardinal1(X2,remove(X2,X1,X0))) )
| ~ mem(X2,X1,X0) ),
inference(rectify,[],[f183]) ).
tff(f183,plain,
! [X2: uni,X0: uni,X1: ty] :
( ( cardinal1(X1,X2) = $sum(1,cardinal1(X1,remove(X1,X0,X2))) )
| ~ mem(X1,X0,X2) ),
inference(ennf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: uni,X2: uni,X1: ty] :
( mem(X1,X0,X2)
=> ( cardinal1(X1,X2) = $sum(1,cardinal1(X1,remove(X1,X0,X2))) ) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X1: uni,X0: ty,X10: uni] :
( mem(X0,X1,X10)
=> ( cardinal1(X0,X10) = $sum(1,cardinal1(X0,remove(X0,X1,X10))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1438,plain,
( ~ spl59_136
| ~ spl59_137
| spl59_135 ),
inference(avatar_split_clause,[],[f1432,f1422,f1435,f1426]) ).
tff(f1432,plain,
( ~ $less(0,n1)
| mem(int,t2tb1(0),sF39)
| ~ $less(sK18(0),0) ),
inference(interpreted_simplification,[],[f1431]) ).
tff(f1431,plain,
( ~ $less(sK18(0),0)
| mem(int,t2tb1(0),sF39)
| ~ $less(0,n1)
| $less(0,0) ),
inference(instantiation,[],[f551]) ).
tff(f1429,plain,
( spl59_134
| spl59_135
| ~ spl59_136 ),
inference(avatar_split_clause,[],[f1415,f1426,f1422,f1418]) ).
tff(f1418,plain,
( spl59_134
<=> $less(sK18(0),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_134])]) ).
tff(f1415,plain,
( $less(sK18(0),sK7)
| ~ $less(0,n1)
| mem(int,t2tb1(0),sF39) ),
inference(interpreted_simplification,[],[f1414]) ).
tff(f1414,plain,
( $less(sK18(0),sK7)
| mem(int,t2tb1(0),sF39)
| $less(0,0)
| ~ $less(0,n1) ),
inference(instantiation,[],[f549]) ).
tff(f1408,plain,
( spl59_132
| spl59_133
| ~ spl59_18 ),
inference(avatar_split_clause,[],[f1369,f655,f1405,f1401]) ).
tff(f1405,plain,
( spl59_133
<=> mem(int,t2tb1(min_elt1(sK3)),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_133])]) ).
tff(f1369,plain,
( mem(int,t2tb1(min_elt1(sK3)),sF48)
| ( 0 = cardinal1(int,sF48) )
| ~ spl59_18 ),
inference(superposition,[],[f1144,f657]) ).
tff(f1399,plain,
( spl59_119
| spl59_130
| ~ spl59_1
| ~ spl59_6
| ~ spl59_26 ),
inference(avatar_split_clause,[],[f1398,f695,f595,f570,f1385,f1328]) ).
tff(f1398,plain,
( mem(int,sF38,sF50)
| ( 0 = cardinal1(int,sF50) )
| ~ spl59_1
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1397,f572]) ).
tff(f1397,plain,
( mem(int,t2tb1(sF37),sF50)
| ( 0 = cardinal1(int,sF50) )
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1396,f597]) ).
tff(f1396,plain,
( ( 0 = cardinal1(int,t2tb(sK9)) )
| mem(int,t2tb1(sF37),sF50)
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1367,f597]) ).
tff(f1367,plain,
( mem(int,t2tb1(sF37),t2tb(sK9))
| ( 0 = cardinal1(int,t2tb(sK9)) )
| ~ spl59_26 ),
inference(superposition,[],[f1144,f697]) ).
tff(f1395,plain,
( spl59_131
| ~ spl59_37
| ~ spl59_40
| spl59_90 ),
inference(avatar_split_clause,[],[f1390,f1109,f765,f750,f1392]) ).
tff(f1390,plain,
( mem(int,t2tb1(min_elt1(sK4)),sF39)
| ~ spl59_37
| ~ spl59_40
| spl59_90 ),
inference(subsumption_resolution,[],[f1389,f1111]) ).
tff(f1389,plain,
( ( 0 = sF57 )
| mem(int,t2tb1(min_elt1(sK4)),sF39)
| ~ spl59_37
| ~ spl59_40 ),
inference(forward_demodulation,[],[f1370,f752]) ).
tff(f1370,plain,
( mem(int,t2tb1(min_elt1(sK4)),sF39)
| ( 0 = cardinal1(int,sF39) )
| ~ spl59_40 ),
inference(superposition,[],[f1144,f767]) ).
tff(f1388,plain,
( spl59_130
| spl59_119
| ~ spl59_1
| ~ spl59_6
| ~ spl59_26 ),
inference(avatar_split_clause,[],[f1383,f695,f595,f570,f1328,f1385]) ).
tff(f1383,plain,
( ( 0 = cardinal1(int,sF50) )
| mem(int,sF38,sF50)
| ~ spl59_1
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1382,f572]) ).
tff(f1382,plain,
( mem(int,t2tb1(sF37),sF50)
| ( 0 = cardinal1(int,sF50) )
| ~ spl59_6
| ~ spl59_26 ),
inference(forward_demodulation,[],[f1372,f697]) ).
tff(f1372,plain,
( ( 0 = cardinal1(int,sF50) )
| mem(int,t2tb1(min_elt1(sK9)),sF50)
| ~ spl59_6 ),
inference(superposition,[],[f1144,f597]) ).
tff(f1381,plain,
( spl59_128
| spl59_129
| ~ spl59_23 ),
inference(avatar_split_clause,[],[f1371,f680,f1378,f1374]) ).
tff(f1378,plain,
( spl59_129
<=> mem(int,t2tb1(min_elt1(sK6)),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_129])]) ).
tff(f1371,plain,
( ( 0 = cardinal1(int,sF46) )
| mem(int,t2tb1(min_elt1(sK6)),sF46)
| ~ spl59_23 ),
inference(superposition,[],[f1144,f682]) ).
tff(f1364,plain,
( spl59_126
| ~ spl59_127
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f1321,f837,f1361,f1358]) ).
tff(f1358,plain,
( spl59_126
<=> ! [X0: $int] :
( $less(X0,sK15)
| ~ mem(int,t2tb1(X0),sF51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_126])]) ).
tff(f1361,plain,
( spl59_127
<=> mem(int,sF34,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_127])]) ).
tff(f1321,plain,
( ! [X0: $int] :
( ~ mem(int,sF34,sF50)
| $less(X0,sK15)
| ~ mem(int,t2tb1(X0),sF51) )
| ~ spl59_53 ),
inference(superposition,[],[f542,f839]) ).
tff(f542,plain,
! [X21: $int,X20: $int] :
( ~ mem(int,t2tb1(X21),sF50)
| $less(X20,X21)
| ~ mem(int,t2tb1(X20),sF51) ),
inference(definition_folding,[],[f358,f529,f528,f527,f526,f525,f524,f514,f528]) ).
tff(f358,plain,
! [X21: $int,X20: $int] :
( ~ mem(int,t2tb1(X21),t2tb(sK9))
| ~ mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3)),t2tb(sK9)))
| $less(X20,X21) ),
inference(cnf_transformation,[],[f249]) ).
tff(f1356,plain,
( ~ spl59_124
| ~ spl59_125 ),
inference(avatar_split_clause,[],[f1318,f1353,f1349]) ).
tff(f1349,plain,
( spl59_124
<=> mem(int,t2tb1(0),sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_124])]) ).
tff(f1353,plain,
( spl59_125
<=> mem(int,t2tb1(0),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_125])]) ).
tff(f1318,plain,
( ~ mem(int,t2tb1(0),sF51)
| ~ mem(int,t2tb1(0),sF50) ),
inference(interpreted_simplification,[],[f1317]) ).
tff(f1317,plain,
( ~ mem(int,t2tb1(0),sF50)
| $less(0,0)
| ~ mem(int,t2tb1(0),sF51) ),
inference(instantiation,[],[f542]) ).
tff(f1347,plain,
( ~ spl59_122
| spl59_123
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f1320,f670,f1345,f1341]) ).
tff(f1345,plain,
( spl59_123
<=> ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF51)
| $less(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_123])]) ).
tff(f1320,plain,
( ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF51)
| ~ mem(int,sF43,sF50)
| $less(X0,sK7) )
| ~ spl59_21 ),
inference(superposition,[],[f542,f672]) ).
tff(f1339,plain,
( spl59_120
| ~ spl59_121
| ~ spl59_10 ),
inference(avatar_split_clause,[],[f1322,f615,f1336,f1333]) ).
tff(f1333,plain,
( spl59_120
<=> ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF51)
| $less(X0,sK16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_120])]) ).
tff(f1336,plain,
( spl59_121
<=> mem(int,sF33,sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_121])]) ).
tff(f1322,plain,
( ! [X0: $int] :
( ~ mem(int,t2tb1(X0),sF51)
| $less(X0,sK16)
| ~ mem(int,sF33,sF50) )
| ~ spl59_10 ),
inference(superposition,[],[f542,f617]) ).
tff(f1331,plain,
( spl59_118
| ~ spl59_119
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f1323,f570,f1328,f1325]) ).
tff(f1323,plain,
( ! [X0: $int] :
( $less(X0,sF37)
| ~ mem(int,t2tb1(X0),sF51)
| ~ mem(int,sF38,sF50) )
| ~ spl59_1 ),
inference(superposition,[],[f542,f572]) ).
tff(f1310,plain,
( spl59_116
| spl59_117
| spl59_110 ),
inference(avatar_split_clause,[],[f1301,f1259,f1307,f1303]) ).
tff(f1307,plain,
( spl59_117
<=> $less(cardinal1(int,sF40),sF57) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_117])]) ).
tff(f1259,plain,
( spl59_110
<=> $less(sF57,cardinal1(int,sF40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_110])]) ).
tff(f1301,plain,
( $less(cardinal1(int,sF40),sF57)
| ( sF57 = cardinal1(int,sF40) )
| spl59_110 ),
inference(resolution,[],[f1261,f100]) ).
tff(f1261,plain,
( ~ $less(sF57,cardinal1(int,sF40))
| spl59_110 ),
inference(avatar_component_clause,[],[f1259]) ).
tff(f1292,plain,
( spl59_115
| ~ spl59_112 ),
inference(avatar_split_clause,[],[f1286,f1271,f1289]) ).
tff(f1289,plain,
( spl59_115
<=> $less(sK20(0),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_115])]) ).
tff(f1286,plain,
( ~ mem(int,t2tb1(0),sF48)
| $less(sK20(0),sK7) ),
inference(interpreted_simplification,[],[f1285]) ).
tff(f1285,plain,
( $less(sK20(0),sK7)
| ~ mem(int,t2tb1(0),sF48)
| $less(0,0) ),
inference(instantiation,[],[f563]) ).
tff(f1284,plain,
( spl59_113
| spl59_114
| spl59_111 ),
inference(avatar_split_clause,[],[f1275,f1267,f1281,f1277]) ).
tff(f1277,plain,
( spl59_113
<=> ( 0 = sK20(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_113])]) ).
tff(f1281,plain,
( spl59_114
<=> $less(0,sK20(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_114])]) ).
tff(f1267,plain,
( spl59_111
<=> $less(sK20(0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_111])]) ).
tff(f1275,plain,
( ( 0 = sK20(0) )
| $less(0,sK20(0))
| spl59_111 ),
inference(resolution,[],[f1269,f100]) ).
tff(f1269,plain,
( ~ $less(sK20(0),0)
| spl59_111 ),
inference(avatar_component_clause,[],[f1267]) ).
tff(f1274,plain,
( ~ spl59_111
| ~ spl59_112 ),
inference(avatar_split_clause,[],[f1264,f1271,f1267]) ).
tff(f1264,plain,
( ~ $less(sK20(0),0)
| ~ mem(int,t2tb1(0),sF48) ),
inference(interpreted_simplification,[],[f1263]) ).
tff(f1263,plain,
( ~ $less(sK20(0),0)
| ~ mem(int,t2tb1(0),sF48)
| $less(0,0) ),
inference(instantiation,[],[f561]) ).
tff(f561,plain,
! [X28: $int] :
( ~ $less(sK20(X28),0)
| ~ mem(int,t2tb1(X28),sF48)
| $less(X28,0) ),
inference(definition_folding,[],[f340,f526]) ).
tff(f340,plain,
! [X28: $int] :
( ~ mem(int,t2tb1(X28),t2tb(sK3))
| ~ $less(sK20(X28),0)
| $less(X28,0) ),
inference(cnf_transformation,[],[f249]) ).
tff(f1262,plain,
( ~ spl59_110
| ~ spl59_37
| ~ spl59_107 ),
inference(avatar_split_clause,[],[f1257,f1240,f750,f1259]) ).
tff(f1257,plain,
( ~ $less(sF57,cardinal1(int,sF40))
| ~ spl59_37
| ~ spl59_107 ),
inference(forward_demodulation,[],[f1256,f752]) ).
tff(f1256,plain,
( ~ $less(cardinal1(int,sF39),cardinal1(int,sF40))
| ~ spl59_107 ),
inference(resolution,[],[f1242,f330]) ).
tff(f1255,plain,
( ~ spl59_109
| ~ spl59_105 ),
inference(avatar_split_clause,[],[f1250,f1223,f1252]) ).
tff(f1252,plain,
( spl59_109
<=> $less(cardinal1(int,sF49),cardinal1(int,sF51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_109])]) ).
tff(f1223,plain,
( spl59_105
<=> subset(int,sF51,sF49) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_105])]) ).
tff(f1250,plain,
( ~ $less(cardinal1(int,sF49),cardinal1(int,sF51))
| ~ spl59_105 ),
inference(resolution,[],[f1225,f330]) ).
tff(f1225,plain,
( subset(int,sF51,sF49)
| ~ spl59_105 ),
inference(avatar_component_clause,[],[f1223]) ).
tff(f1249,plain,
( ~ spl59_108
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f1244,f720,f1246]) ).
tff(f1244,plain,
( ~ mem(int,sF38,sF40)
| ~ spl59_31 ),
inference(subsumption_resolution,[],[f1236,f815]) ).
tff(f1236,plain,
( ~ sort1(int,sF38)
| ~ mem(int,sF38,sF40)
| ~ spl59_31 ),
inference(superposition,[],[f568,f722]) ).
tff(f568,plain,
! [X3: uni,X0: ty,X1: uni] :
( ~ mem(X0,X3,remove(X0,X3,X1))
| ~ sort1(X0,X3) ),
inference(duplicate_literal_removal,[],[f501]) ).
tff(f501,plain,
! [X3: uni,X0: ty,X1: uni] :
( ~ mem(X0,X3,remove(X0,X3,X1))
| ~ sort1(X0,X3)
| ~ sort1(X0,X3) ),
inference(equality_resolution,[],[f447]) ).
tff(f447,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ~ sort1(X0,X2)
| ( X2 != X3 )
| ~ mem(X0,X3,remove(X0,X2,X1))
| ~ sort1(X0,X3) ),
inference(cnf_transformation,[],[f296]) ).
tff(f1243,plain,
( spl59_107
| ~ spl59_31 ),
inference(avatar_split_clause,[],[f1238,f720,f1240]) ).
tff(f1238,plain,
( subset(int,sF40,sF39)
| ~ spl59_31 ),
inference(superposition,[],[f378,f722]) ).
tff(f1234,plain,
( ~ spl59_106
| ~ spl59_104 ),
inference(avatar_split_clause,[],[f1228,f1214,f1231]) ).
tff(f1228,plain,
( ~ $less(sK19(0),0)
| ~ mem(int,t2tb1(0),sF46) ),
inference(interpreted_simplification,[],[f1227]) ).
tff(f1227,plain,
( ~ $less(sK19(0),0)
| $less(0,0)
| ~ mem(int,t2tb1(0),sF46) ),
inference(instantiation,[],[f555]) ).
tff(f1226,plain,
( spl59_105
| ~ spl59_24 ),
inference(avatar_split_clause,[],[f1221,f685,f1223]) ).
tff(f1221,plain,
( subset(int,sF51,sF49)
| ~ spl59_24 ),
inference(superposition,[],[f401,f687]) ).
tff(f1217,plain,
( spl59_103
| ~ spl59_104 ),
inference(avatar_split_clause,[],[f1207,f1214,f1210]) ).
tff(f1207,plain,
( ~ mem(int,t2tb1(0),sF46)
| $less(sK19(0),sK7) ),
inference(interpreted_simplification,[],[f1206]) ).
tff(f1206,plain,
( $less(sK19(0),sK7)
| $less(0,0)
| ~ mem(int,t2tb1(0),sF46) ),
inference(instantiation,[],[f554]) ).
tff(f1202,plain,
( spl59_101
| spl59_102
| spl59_100 ),
inference(avatar_split_clause,[],[f1193,f1189,f1199,f1195]) ).
tff(f1199,plain,
( spl59_102
<=> $less(cardinal1(int,sF47),sF57) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_102])]) ).
tff(f1189,plain,
( spl59_100
<=> $less(sF57,cardinal1(int,sF47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_100])]) ).
tff(f1193,plain,
( ( sF57 = cardinal1(int,sF47) )
| $less(cardinal1(int,sF47),sF57)
| spl59_100 ),
inference(resolution,[],[f1191,f100]) ).
tff(f1191,plain,
( ~ $less(sF57,cardinal1(int,sF47))
| spl59_100 ),
inference(avatar_component_clause,[],[f1189]) ).
tff(f1192,plain,
( ~ spl59_100
| ~ spl59_37
| ~ spl59_98 ),
inference(avatar_split_clause,[],[f1187,f1173,f750,f1189]) ).
tff(f1173,plain,
( spl59_98
<=> subset(int,sF47,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_98])]) ).
tff(f1187,plain,
( ~ $less(sF57,cardinal1(int,sF47))
| ~ spl59_37
| ~ spl59_98 ),
inference(forward_demodulation,[],[f1186,f752]) ).
tff(f1186,plain,
( ~ $less(cardinal1(int,sF39),cardinal1(int,sF47))
| ~ spl59_98 ),
inference(resolution,[],[f1175,f330]) ).
tff(f1175,plain,
( subset(int,sF47,sF39)
| ~ spl59_98 ),
inference(avatar_component_clause,[],[f1173]) ).
tff(f1182,plain,
( ~ spl59_99
| ~ spl59_97 ),
inference(avatar_split_clause,[],[f1177,f1164,f1179]) ).
tff(f1177,plain,
( ~ $less(cardinal1(int,sF47),cardinal1(int,sF49))
| ~ spl59_97 ),
inference(resolution,[],[f1166,f330]) ).
tff(f1176,plain,
( spl59_98
| ~ spl59_11 ),
inference(avatar_split_clause,[],[f1171,f620,f1173]) ).
tff(f1171,plain,
( subset(int,sF47,sF39)
| ~ spl59_11 ),
inference(superposition,[],[f401,f622]) ).
tff(f1167,plain,
( spl59_97
| ~ spl59_9 ),
inference(avatar_split_clause,[],[f1162,f610,f1164]) ).
tff(f1162,plain,
( subset(int,sF49,sF47)
| ~ spl59_9 ),
inference(superposition,[],[f401,f612]) ).
tff(f1157,plain,
( spl59_95
| spl59_96
| spl59_94 ),
inference(avatar_split_clause,[],[f1148,f1137,f1154,f1150]) ).
tff(f1150,plain,
( spl59_95
<=> $less(cardinal1(int,sF50),cardinal1(int,sF49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_95])]) ).
tff(f1154,plain,
( spl59_96
<=> ( cardinal1(int,sF49) = cardinal1(int,sF50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_96])]) ).
tff(f1148,plain,
( ( cardinal1(int,sF49) = cardinal1(int,sF50) )
| $less(cardinal1(int,sF50),cardinal1(int,sF49))
| spl59_94 ),
inference(resolution,[],[f1139,f100]) ).
tff(f1140,plain,
( ~ spl59_94
| ~ spl59_48 ),
inference(avatar_split_clause,[],[f1132,f805,f1137]) ).
tff(f1132,plain,
( ~ $less(cardinal1(int,sF49),cardinal1(int,sF50))
| ~ spl59_48 ),
inference(resolution,[],[f330,f807]) ).
tff(f1130,plain,
( spl59_93
| spl59_90
| spl59_91 ),
inference(avatar_split_clause,[],[f1125,f1114,f1109,f1127]) ).
tff(f1127,plain,
( spl59_93
<=> $less(0,sF57) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_93])]) ).
tff(f1114,plain,
( spl59_91
<=> $less(sF57,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_91])]) ).
tff(f1125,plain,
( $less(0,sF57)
| spl59_90
| spl59_91 ),
inference(subsumption_resolution,[],[f1124,f1111]) ).
tff(f1124,plain,
( ( 0 = sF57 )
| $less(0,sF57)
| spl59_91 ),
inference(resolution,[],[f1116,f100]) ).
tff(f1116,plain,
( ~ $less(sF57,0)
| spl59_91 ),
inference(avatar_component_clause,[],[f1114]) ).
tff(f1123,plain,
( spl59_92
| ~ spl59_41
| ~ spl59_86 ),
inference(avatar_split_clause,[],[f1118,f1067,f770,f1120]) ).
tff(f1120,plain,
( spl59_92
<=> ( 0 = $sum(sK10,sF30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_92])]) ).
tff(f1118,plain,
( ( 0 = $sum(sK10,sF30) )
| ~ spl59_41
| ~ spl59_86 ),
inference(forward_demodulation,[],[f772,f1069]) ).
tff(f1069,plain,
( ( 0 = sF31 )
| ~ spl59_86 ),
inference(avatar_component_clause,[],[f1067]) ).
tff(f1117,plain,
( ~ spl59_91
| ~ spl59_37 ),
inference(avatar_split_clause,[],[f1106,f750,f1114]) ).
tff(f1106,plain,
( ~ $less(sF57,0)
| ~ spl59_37 ),
inference(superposition,[],[f425,f752]) ).
tff(f1112,plain,
( ~ spl59_90
| spl59_5
| ~ spl59_37 ),
inference(avatar_split_clause,[],[f1107,f750,f590,f1109]) ).
tff(f590,plain,
( spl59_5
<=> is_empty(int,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_5])]) ).
tff(f1107,plain,
( ( 0 != sF57 )
| spl59_5
| ~ spl59_37 ),
inference(subsumption_resolution,[],[f1105,f592]) ).
tff(f592,plain,
( ~ is_empty(int,sF39)
| spl59_5 ),
inference(avatar_component_clause,[],[f590]) ).
tff(f1105,plain,
( ( 0 != sF57 )
| is_empty(int,sF39)
| ~ spl59_37 ),
inference(superposition,[],[f453,f752]) ).
tff(f1092,plain,
( spl59_89
| ~ spl59_20
| ~ spl59_22 ),
inference(avatar_split_clause,[],[f1087,f675,f665,f1089]) ).
tff(f665,plain,
( spl59_20
<=> ( $sum(sK7,1) = sF41 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_20])]) ).
tff(f675,plain,
( spl59_22
<=> ( sK14 = sF41 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_22])]) ).
tff(f1087,plain,
( ( $sum(sK7,1) = sK14 )
| ~ spl59_20
| ~ spl59_22 ),
inference(forward_demodulation,[],[f667,f677]) ).
tff(f677,plain,
( ( sK14 = sF41 )
| ~ spl59_22 ),
inference(avatar_component_clause,[],[f675]) ).
tff(f667,plain,
( ( $sum(sK7,1) = sF41 )
| ~ spl59_20 ),
inference(avatar_component_clause,[],[f665]) ).
tff(f1085,plain,
( spl59_88
| ~ spl59_16
| ~ spl59_19 ),
inference(avatar_split_clause,[],[f1080,f660,f645,f1082]) ).
tff(f1082,plain,
( spl59_88
<=> ( n1 = $sum(sK7,sF57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_88])]) ).
tff(f645,plain,
( spl59_16
<=> ( $sum(sK7,sF57) = sF58 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_16])]) ).
tff(f660,plain,
( spl59_19
<=> ( n1 = sF58 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_19])]) ).
tff(f1080,plain,
( ( n1 = $sum(sK7,sF57) )
| ~ spl59_16
| ~ spl59_19 ),
inference(forward_demodulation,[],[f647,f662]) ).
tff(f662,plain,
( ( n1 = sF58 )
| ~ spl59_19 ),
inference(avatar_component_clause,[],[f660]) ).
tff(f647,plain,
( ( $sum(sK7,sF57) = sF58 )
| ~ spl59_16 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f1074,plain,
( spl59_86
| spl59_87
| spl59_43 ),
inference(avatar_split_clause,[],[f1033,f780,f1071,f1067]) ).
tff(f780,plain,
( spl59_43
<=> $less(sF31,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_43])]) ).
tff(f1033,plain,
( ( 0 = sF31 )
| $less(0,sF31)
| spl59_43 ),
inference(resolution,[],[f100,f782]) ).
tff(f782,plain,
( ~ $less(sF31,0)
| spl59_43 ),
inference(avatar_component_clause,[],[f780]) ).
tff(f1065,plain,
( spl59_84
| spl59_85
| spl59_47 ),
inference(avatar_split_clause,[],[f1030,f800,f1062,f1058]) ).
tff(f1058,plain,
( spl59_84
<=> $less(0,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_84])]) ).
tff(f1030,plain,
( $less(0,sK16)
| ( 0 = sK16 )
| spl59_47 ),
inference(resolution,[],[f100,f802]) ).
tff(f1056,plain,
( spl59_82
| spl59_83
| spl59_7 ),
inference(avatar_split_clause,[],[f1029,f600,f1053,f1049]) ).
tff(f1053,plain,
( spl59_83
<=> ( 0 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_83])]) ).
tff(f1029,plain,
( ( 0 = sK7 )
| $less(0,sK7)
| spl59_7 ),
inference(resolution,[],[f100,f602]) ).
tff(f1047,plain,
( spl59_80
| spl59_81
| spl59_4 ),
inference(avatar_split_clause,[],[f1028,f585,f1044,f1040]) ).
tff(f585,plain,
( spl59_4
<=> $less(sK5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_4])]) ).
tff(f1028,plain,
( ( 0 = sK5 )
| $less(0,sK5)
| spl59_4 ),
inference(resolution,[],[f100,f587]) ).
tff(f587,plain,
( ~ $less(sK5,0)
| spl59_4 ),
inference(avatar_component_clause,[],[f585]) ).
tff(f1023,plain,
( spl59_78
| ~ spl59_79
| ~ spl59_45 ),
inference(avatar_split_clause,[],[f1014,f790,f1020,f1016]) ).
tff(f1014,plain,
( ~ mem(int,t2tb1(sK14),sF39)
| $less(sK16,n1)
| ~ spl59_45 ),
inference(resolution,[],[f1011,f548]) ).
tff(f1006,plain,
( spl59_77
| ~ spl59_23 ),
inference(avatar_split_clause,[],[f985,f680,f1003]) ).
tff(f1003,plain,
( spl59_77
<=> ( sK6 = tb2t(sF46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_77])]) ).
tff(f985,plain,
( ( sK6 = tb2t(sF46) )
| ~ spl59_23 ),
inference(superposition,[],[f480,f682]) ).
tff(f480,plain,
! [X0: set_int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: set_int] : ( tb2t(t2tb(X0)) = X0 ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X12: set_int] : ( tb2t(t2tb(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1001,plain,
( spl59_76
| ~ spl59_18 ),
inference(avatar_split_clause,[],[f983,f655,f998]) ).
tff(f998,plain,
( spl59_76
<=> ( sK3 = tb2t(sF48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_76])]) ).
tff(f983,plain,
( ( sK3 = tb2t(sF48) )
| ~ spl59_18 ),
inference(superposition,[],[f480,f657]) ).
tff(f996,plain,
( spl59_75
| ~ spl59_6 ),
inference(avatar_split_clause,[],[f986,f595,f993]) ).
tff(f993,plain,
( spl59_75
<=> ( sK9 = tb2t(sF50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_75])]) ).
tff(f986,plain,
( ( sK9 = tb2t(sF50) )
| ~ spl59_6 ),
inference(superposition,[],[f480,f597]) ).
tff(f991,plain,
( spl59_74
| ~ spl59_40 ),
inference(avatar_split_clause,[],[f984,f765,f988]) ).
tff(f988,plain,
( spl59_74
<=> ( sK4 = tb2t(sF39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_74])]) ).
tff(f984,plain,
( ( sK4 = tb2t(sF39) )
| ~ spl59_40 ),
inference(superposition,[],[f480,f767]) ).
tff(f978,plain,
( spl59_73
| ~ spl59_49 ),
inference(avatar_split_clause,[],[f968,f810,f975]) ).
tff(f975,plain,
( spl59_73
<=> ( sK11 = tb2t3(sF53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_73])]) ).
tff(f810,plain,
( spl59_49
<=> ( t2tb3(sK11) = sF53 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_49])]) ).
tff(f968,plain,
( ( sK11 = tb2t3(sF53) )
| ~ spl59_49 ),
inference(superposition,[],[f397,f812]) ).
tff(f812,plain,
( ( t2tb3(sK11) = sF53 )
| ~ spl59_49 ),
inference(avatar_component_clause,[],[f810]) ).
tff(f397,plain,
! [X0: map_int_lpmap_int_intrp] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: map_int_lpmap_int_intrp] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f72]) ).
tff(f72,axiom,
! [X12: map_int_lpmap_int_intrp] : ( tb2t3(t2tb3(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f973,plain,
( spl59_72
| ~ spl59_49 ),
inference(avatar_split_clause,[],[f967,f810,f970]) ).
tff(f970,plain,
( spl59_72
<=> sort1(map(int,map(int,int)),sF53) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_72])]) ).
tff(f967,plain,
( sort1(map(int,map(int,int)),sF53)
| ~ spl59_49 ),
inference(superposition,[],[f416,f812]) ).
tff(f416,plain,
! [X0: map_int_lpmap_int_intrp] : sort1(map(int,map(int,int)),t2tb3(X0)),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: map_int_lpmap_int_intrp] : sort1(map(int,map(int,int)),t2tb3(X0)),
inference(rectify,[],[f71]) ).
tff(f71,axiom,
! [X1: map_int_lpmap_int_intrp] : sort1(map(int,map(int,int)),t2tb3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f964,plain,
( spl59_71
| ~ spl59_42 ),
inference(avatar_split_clause,[],[f959,f775,f961]) ).
tff(f961,plain,
( spl59_71
<=> sort1(map(int,map(int,int)),sF55) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_71])]) ).
tff(f775,plain,
( spl59_42
<=> ( t2tb3(sK1) = sF55 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_42])]) ).
tff(f959,plain,
( sort1(map(int,map(int,int)),sF55)
| ~ spl59_42 ),
inference(superposition,[],[f416,f777]) ).
tff(f777,plain,
( ( t2tb3(sK1) = sF55 )
| ~ spl59_42 ),
inference(avatar_component_clause,[],[f775]) ).
tff(f957,plain,
( spl59_70
| ~ spl59_42 ),
inference(avatar_split_clause,[],[f952,f775,f954]) ).
tff(f954,plain,
( spl59_70
<=> ( sK1 = tb2t3(sF55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_70])]) ).
tff(f952,plain,
( ( sK1 = tb2t3(sF55) )
| ~ spl59_42 ),
inference(superposition,[],[f397,f777]) ).
tff(f951,plain,
( spl59_61
| ~ spl59_66
| ~ spl59_67 ),
inference(avatar_split_clause,[],[f950,f934,f927,f894]) ).
tff(f894,plain,
( spl59_61
<=> ( sK13 = tb2t2(sF32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_61])]) ).
tff(f927,plain,
( spl59_66
<=> ( sK13 = tb2t2(sF44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_66])]) ).
tff(f950,plain,
( ( sK13 = tb2t2(sF32) )
| ~ spl59_66
| ~ spl59_67 ),
inference(superposition,[],[f929,f936]) ).
tff(f929,plain,
( ( sK13 = tb2t2(sF44) )
| ~ spl59_66 ),
inference(avatar_component_clause,[],[f927]) ).
tff(f949,plain,
~ spl59_69,
inference(avatar_split_clause,[],[f944,f946]) ).
tff(f946,plain,
( spl59_69
<=> mem(int,t2tb1(n1),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_69])]) ).
tff(f944,plain,
~ mem(int,t2tb1(n1),sF39),
inference(resolution,[],[f548,f98]) ).
tff(f943,plain,
( spl59_68
| ~ spl59_40 ),
inference(avatar_split_clause,[],[f938,f765,f940]) ).
tff(f940,plain,
( spl59_68
<=> sort1(set(int),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_68])]) ).
tff(f938,plain,
( sort1(set(int),sF39)
| ~ spl59_40 ),
inference(superposition,[],[f392,f767]) ).
tff(f392,plain,
! [X0: set_int] : sort1(set(int),t2tb(X0)),
inference(cnf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: set_int] : sort1(set(int),t2tb(X0)),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X1: set_int] : sort1(set(int),t2tb(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f937,plain,
( spl59_67
| ~ spl59_29
| ~ spl59_66 ),
inference(avatar_split_clause,[],[f932,f927,f710,f934]) ).
tff(f932,plain,
( ( sF32 = sF44 )
| ~ spl59_29
| ~ spl59_66 ),
inference(forward_demodulation,[],[f931,f712]) ).
tff(f931,plain,
( ( t2tb2(sK13) = sF44 )
| ~ spl59_66 ),
inference(superposition,[],[f395,f929]) ).
tff(f395,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f67]) ).
tff(f67,axiom,
! [X13: uni] : ( t2tb2(tb2t2(X13)) = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f930,plain,
( spl59_66
| ~ spl59_36
| ~ spl59_38 ),
inference(avatar_split_clause,[],[f925,f755,f745,f927]) ).
tff(f745,plain,
( spl59_36
<=> ( sK13 = sF45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_36])]) ).
tff(f755,plain,
( spl59_38
<=> ( tb2t2(sF44) = sF45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_38])]) ).
tff(f925,plain,
( ( sK13 = tb2t2(sF44) )
| ~ spl59_36
| ~ spl59_38 ),
inference(forward_demodulation,[],[f757,f747]) ).
tff(f747,plain,
( ( sK13 = sF45 )
| ~ spl59_36 ),
inference(avatar_component_clause,[],[f745]) ).
tff(f757,plain,
( ( tb2t2(sF44) = sF45 )
| ~ spl59_38 ),
inference(avatar_component_clause,[],[f755]) ).
tff(f924,plain,
~ spl59_65,
inference(avatar_split_clause,[],[f919,f921]) ).
tff(f921,plain,
( spl59_65
<=> mem(int,t2tb1(-1),sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_65])]) ).
tff(f919,plain,
~ mem(int,t2tb1(-1),sF39),
inference(interpreted_simplification,[],[f918]) ).
tff(f918,plain,
( ~ $less(-1,0)
| ~ mem(int,t2tb1(-1),sF39) ),
inference(instantiation,[],[f547]) ).
tff(f916,plain,
( spl59_64
| ~ spl59_35 ),
inference(avatar_split_clause,[],[f911,f740,f913]) ).
tff(f913,plain,
( spl59_64
<=> ( sK8 = tb2t2(sF42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_64])]) ).
tff(f911,plain,
( ( sK8 = tb2t2(sF42) )
| ~ spl59_35 ),
inference(superposition,[],[f474,f742]) ).
tff(f474,plain,
! [X0: map_int_int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: map_int_int] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X12: map_int_int] : ( tb2t2(t2tb2(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f909,plain,
( spl59_63
| ~ spl59_27
| ~ spl59_62 ),
inference(avatar_split_clause,[],[f904,f900,f700,f906]) ).
tff(f906,plain,
( spl59_63
<=> mem(int,sF34,sF40) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_63])]) ).
tff(f904,plain,
( mem(int,sF34,sF40)
| ~ spl59_27
| ~ spl59_62 ),
inference(superposition,[],[f702,f902]) ).
tff(f903,plain,
( spl59_62
| ~ spl59_33
| ~ spl59_53 ),
inference(avatar_split_clause,[],[f898,f837,f730,f900]) ).
tff(f730,plain,
( spl59_33
<=> ( t2tb1(sK15) = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_33])]) ).
tff(f898,plain,
( ( sF34 = sF36 )
| ~ spl59_33
| ~ spl59_53 ),
inference(forward_demodulation,[],[f732,f839]) ).
tff(f732,plain,
( ( t2tb1(sK15) = sF36 )
| ~ spl59_33 ),
inference(avatar_component_clause,[],[f730]) ).
tff(f897,plain,
( spl59_61
| ~ spl59_29 ),
inference(avatar_split_clause,[],[f892,f710,f894]) ).
tff(f892,plain,
( ( sK13 = tb2t2(sF32) )
| ~ spl59_29 ),
inference(superposition,[],[f474,f712]) ).
tff(f888,plain,
( spl59_60
| ~ spl59_13 ),
inference(avatar_split_clause,[],[f883,f630,f885]) ).
tff(f885,plain,
( spl59_60
<=> sort1(map(int,int),sF54) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_60])]) ).
tff(f883,plain,
( sort1(map(int,int),sF54)
| ~ spl59_13 ),
inference(superposition,[],[f377,f632]) ).
tff(f377,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X1: map_int_int] : sort1(map(int,int),t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f880,plain,
( spl59_59
| ~ spl59_13 ),
inference(avatar_split_clause,[],[f875,f630,f877]) ).
tff(f877,plain,
( spl59_59
<=> ( sK0 = tb2t2(sF54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_59])]) ).
tff(f875,plain,
( ( sK0 = tb2t2(sF54) )
| ~ spl59_13 ),
inference(superposition,[],[f474,f632]) ).
tff(f873,plain,
( spl59_58
| ~ spl59_21 ),
inference(avatar_split_clause,[],[f855,f670,f870]) ).
tff(f870,plain,
( spl59_58
<=> ( sK7 = tb2t1(sF43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_58])]) ).
tff(f855,plain,
( ( sK7 = tb2t1(sF43) )
| ~ spl59_21 ),
inference(superposition,[],[f426,f672]) ).
tff(f868,plain,
( spl59_57
| ~ spl59_10 ),
inference(avatar_split_clause,[],[f857,f615,f865]) ).
tff(f865,plain,
( spl59_57
<=> ( sK16 = tb2t1(sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_57])]) ).
tff(f857,plain,
( ( sK16 = tb2t1(sF33) )
| ~ spl59_10 ),
inference(superposition,[],[f426,f617]) ).
tff(f863,plain,
( spl59_56
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f858,f570,f860]) ).
tff(f860,plain,
( spl59_56
<=> ( sF37 = tb2t1(sF38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_56])]) ).
tff(f858,plain,
( ( sF37 = tb2t1(sF38) )
| ~ spl59_1 ),
inference(superposition,[],[f426,f572]) ).
tff(f853,plain,
( spl59_55
| ~ spl59_23 ),
inference(avatar_split_clause,[],[f848,f680,f850]) ).
tff(f850,plain,
( spl59_55
<=> sort1(set(int),sF46) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_55])]) ).
tff(f848,plain,
( sort1(set(int),sF46)
| ~ spl59_23 ),
inference(superposition,[],[f392,f682]) ).
tff(f846,plain,
( spl59_54
| ~ spl59_18 ),
inference(avatar_split_clause,[],[f841,f655,f843]) ).
tff(f843,plain,
( spl59_54
<=> sort1(set(int),sF48) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_54])]) ).
tff(f841,plain,
( sort1(set(int),sF48)
| ~ spl59_18 ),
inference(superposition,[],[f392,f657]) ).
tff(f840,plain,
( spl59_53
| ~ spl59_52 ),
inference(avatar_split_clause,[],[f835,f831,f837]) ).
tff(f831,plain,
( spl59_52
<=> ( sK15 = tb2t1(sF34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_52])]) ).
tff(f835,plain,
( ( t2tb1(sK15) = sF34 )
| ~ spl59_52 ),
inference(superposition,[],[f329,f833]) ).
tff(f833,plain,
( ( sK15 = tb2t1(sF34) )
| ~ spl59_52 ),
inference(avatar_component_clause,[],[f831]) ).
tff(f834,plain,
( spl59_52
| ~ spl59_14
| ~ spl59_15 ),
inference(avatar_split_clause,[],[f829,f640,f635,f831]) ).
tff(f635,plain,
( spl59_14
<=> ( sK15 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_14])]) ).
tff(f640,plain,
( spl59_15
<=> ( tb2t1(sF34) = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_15])]) ).
tff(f829,plain,
( ( sK15 = tb2t1(sF34) )
| ~ spl59_14
| ~ spl59_15 ),
inference(forward_demodulation,[],[f642,f637]) ).
tff(f637,plain,
( ( sK15 = sF35 )
| ~ spl59_14 ),
inference(avatar_component_clause,[],[f635]) ).
tff(f642,plain,
( ( tb2t1(sF34) = sF35 )
| ~ spl59_15 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f827,plain,
( spl59_51
| ~ spl59_6 ),
inference(avatar_split_clause,[],[f822,f595,f824]) ).
tff(f824,plain,
( spl59_51
<=> sort1(set(int),sF50) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_51])]) ).
tff(f822,plain,
( sort1(set(int),sF50)
| ~ spl59_6 ),
inference(superposition,[],[f392,f597]) ).
tff(f821,plain,
( spl59_50
| ~ spl59_1 ),
inference(avatar_split_clause,[],[f816,f570,f818]) ).
tff(f818,plain,
( spl59_50
<=> sort1(int,sF38) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_50])]) ).
tff(f816,plain,
( sort1(int,sF38)
| ~ spl59_1 ),
inference(superposition,[],[f438,f572]) ).
tff(f813,plain,
spl59_49,
inference(avatar_split_clause,[],[f532,f810]) ).
tff(f808,plain,
spl59_48,
inference(avatar_split_clause,[],[f543,f805]) ).
tff(f543,plain,
subset(int,sF50,sF49),
inference(definition_folding,[],[f356,f527,f526,f525,f524,f514,f528]) ).
tff(f356,plain,
subset(int,t2tb(sK9),diff(int,diff(int,t2tb(sK4),t2tb(sK6)),t2tb(sK3))),
inference(cnf_transformation,[],[f249]) ).
tff(f803,plain,
~ spl59_47,
inference(avatar_split_clause,[],[f373,f800]) ).
tff(f373,plain,
~ $less(sK16,0),
inference(cnf_transformation,[],[f249]) ).
tff(f798,plain,
spl59_46,
inference(avatar_split_clause,[],[f363,f795]) ).
tff(f363,plain,
sorted1(sK11,sK5,sK10),
inference(cnf_transformation,[],[f249]) ).
tff(f793,plain,
spl59_45,
inference(avatar_split_clause,[],[f375,f790]) ).
tff(f375,plain,
$less(sK16,sK14),
inference(cnf_transformation,[],[f249]) ).
tff(f788,plain,
spl59_44,
inference(avatar_split_clause,[],[f508,f785]) ).
tff(f508,plain,
get(int,int,sF32,sF33) = sF34,
introduced(function_definition,[new_symbols(definition,[sF34])]) ).
tff(f783,plain,
~ spl59_43,
inference(avatar_split_clause,[],[f541,f780]) ).
tff(f541,plain,
~ $less(sF31,0),
inference(definition_folding,[],[f359,f504,f503]) ).
tff(f503,plain,
$uminus(sK5) = sF30,
introduced(function_definition,[new_symbols(definition,[sF30])]) ).
tff(f504,plain,
$sum(sK10,sF30) = sF31,
introduced(function_definition,[new_symbols(definition,[sF31])]) ).
tff(f359,plain,
~ $less($sum(sK10,$uminus(sK5)),0),
inference(cnf_transformation,[],[f249]) ).
tff(f778,plain,
spl59_42,
inference(avatar_split_clause,[],[f544,f775]) ).
tff(f544,plain,
t2tb3(sK1) = sF55,
introduced(function_definition,[new_symbols(definition,[sF55])]) ).
tff(f773,plain,
spl59_41,
inference(avatar_split_clause,[],[f504,f770]) ).
tff(f768,plain,
spl59_40,
inference(avatar_split_clause,[],[f514,f765]) ).
tff(f763,plain,
spl59_39,
inference(avatar_split_clause,[],[f545,f760]) ).
tff(f545,plain,
eq_prefix1(sF52,sF55,sF53,sK5),
inference(definition_folding,[],[f355,f532,f544,f531]) ).
tff(f355,plain,
eq_prefix1(map(int,int),t2tb3(sK1),t2tb3(sK11),sK5),
inference(cnf_transformation,[],[f249]) ).
tff(f758,plain,
spl59_38,
inference(avatar_split_clause,[],[f522,f755]) ).
tff(f522,plain,
tb2t2(sF44) = sF45,
introduced(function_definition,[new_symbols(definition,[sF45])]) ).
tff(f753,plain,
spl59_37,
inference(avatar_split_clause,[],[f558,f750]) ).
tff(f558,plain,
cardinal1(int,sF39) = sF57,
introduced(function_definition,[new_symbols(definition,[sF57])]) ).
tff(f748,plain,
spl59_36,
inference(avatar_split_clause,[],[f523,f745]) ).
tff(f523,plain,
sK13 = sF45,
inference(definition_folding,[],[f370,f522,f521,f513,f512,f520,f519]) ).
tff(f512,plain,
min_elt1(sK9) = sF37,
introduced(function_definition,[new_symbols(definition,[sF37])]) ).
tff(f513,plain,
t2tb1(sF37) = sF38,
introduced(function_definition,[new_symbols(definition,[sF38])]) ).
tff(f521,plain,
set1(int,int,sF42,sF43,sF38) = sF44,
introduced(function_definition,[new_symbols(definition,[sF44])]) ).
tff(f370,plain,
tb2t2(set1(int,int,t2tb2(sK8),t2tb1(sK7),t2tb1(min_elt1(sK9)))) = sK13,
inference(cnf_transformation,[],[f249]) ).
tff(f743,plain,
spl59_35,
inference(avatar_split_clause,[],[f519,f740]) ).
tff(f738,plain,
spl59_34,
inference(avatar_split_clause,[],[f498,f735]) ).
tff(f498,plain,
partial_solution1(sK7,sK0),
inference(definition_unfolding,[],[f336,f357]) ).
tff(f336,plain,
partial_solution1(sK2,sK0),
inference(cnf_transformation,[],[f249]) ).
tff(f733,plain,
spl59_33,
inference(avatar_split_clause,[],[f511,f730]) ).
tff(f511,plain,
t2tb1(sK15) = sF36,
introduced(function_definition,[new_symbols(definition,[sF36])]) ).
tff(f728,plain,
~ spl59_32,
inference(avatar_split_clause,[],[f538,f725]) ).
tff(f538,plain,
~ is_empty(int,sF50),
inference(definition_folding,[],[f361,f528]) ).
tff(f361,plain,
~ is_empty(int,t2tb(sK9)),
inference(cnf_transformation,[],[f249]) ).
tff(f723,plain,
spl59_31,
inference(avatar_split_clause,[],[f515,f720]) ).
tff(f515,plain,
remove(int,sF38,sF39) = sF40,
introduced(function_definition,[new_symbols(definition,[sF40])]) ).
tff(f718,plain,
spl59_30,
inference(avatar_split_clause,[],[f505,f715]) ).
tff(f715,plain,
( spl59_30
<=> ( sK12 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_30])]) ).
tff(f505,plain,
sK12 = sF31,
inference(definition_folding,[],[f376,f504,f503]) ).
tff(f376,plain,
sK12 = $sum(sK10,$uminus(sK5)),
inference(cnf_transformation,[],[f249]) ).
tff(f713,plain,
spl59_29,
inference(avatar_split_clause,[],[f506,f710]) ).
tff(f506,plain,
t2tb2(sK13) = sF32,
introduced(function_definition,[new_symbols(definition,[sF32])]) ).
tff(f708,plain,
~ spl59_28,
inference(avatar_split_clause,[],[f404,f705]) ).
tff(f705,plain,
( spl59_28
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_28])]) ).
tff(f404,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f703,plain,
spl59_27,
inference(avatar_split_clause,[],[f516,f700]) ).
tff(f516,plain,
mem(int,sF36,sF40),
inference(definition_folding,[],[f372,f515,f514,f513,f512,f511]) ).
tff(f372,plain,
mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK9)),t2tb(sK4))),
inference(cnf_transformation,[],[f249]) ).
tff(f698,plain,
spl59_26,
inference(avatar_split_clause,[],[f512,f695]) ).
tff(f693,plain,
spl59_25,
inference(avatar_split_clause,[],[f531,f690]) ).
tff(f690,plain,
( spl59_25
<=> ( map(int,int) = sF52 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_25])]) ).
tff(f688,plain,
spl59_24,
inference(avatar_split_clause,[],[f529,f685]) ).
tff(f683,plain,
spl59_23,
inference(avatar_split_clause,[],[f524,f680]) ).
tff(f678,plain,
spl59_22,
inference(avatar_split_clause,[],[f518,f675]) ).
tff(f518,plain,
sK14 = sF41,
inference(definition_folding,[],[f371,f517]) ).
tff(f517,plain,
$sum(sK7,1) = sF41,
introduced(function_definition,[new_symbols(definition,[sF41])]) ).
tff(f371,plain,
$sum(sK7,1) = sK14,
inference(cnf_transformation,[],[f249]) ).
tff(f673,plain,
spl59_21,
inference(avatar_split_clause,[],[f520,f670]) ).
tff(f668,plain,
spl59_20,
inference(avatar_split_clause,[],[f517,f665]) ).
tff(f663,plain,
spl59_19,
inference(avatar_split_clause,[],[f560,f660]) ).
tff(f560,plain,
n1 = sF58,
inference(definition_folding,[],[f494,f559,f558,f514]) ).
tff(f559,plain,
$sum(sK7,sF57) = sF58,
introduced(function_definition,[new_symbols(definition,[sF58])]) ).
tff(f494,plain,
n1 = $sum(sK7,cardinal1(int,t2tb(sK4))),
inference(definition_unfolding,[],[f341,f357]) ).
tff(f341,plain,
n1 = $sum(sK2,cardinal1(int,t2tb(sK4))),
inference(cnf_transformation,[],[f249]) ).
tff(f658,plain,
spl59_18,
inference(avatar_split_clause,[],[f526,f655]) ).
tff(f653,plain,
spl59_17,
inference(avatar_split_clause,[],[f521,f650]) ).
tff(f648,plain,
spl59_16,
inference(avatar_split_clause,[],[f559,f645]) ).
tff(f643,plain,
spl59_15,
inference(avatar_split_clause,[],[f509,f640]) ).
tff(f509,plain,
tb2t1(sF34) = sF35,
introduced(function_definition,[new_symbols(definition,[sF35])]) ).
tff(f638,plain,
spl59_14,
inference(avatar_split_clause,[],[f510,f635]) ).
tff(f510,plain,
sK15 = sF35,
inference(definition_folding,[],[f374,f509,f508,f507,f506]) ).
tff(f507,plain,
t2tb1(sK16) = sF33,
introduced(function_definition,[new_symbols(definition,[sF33])]) ).
tff(f374,plain,
sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))),
inference(cnf_transformation,[],[f249]) ).
tff(f633,plain,
spl59_13,
inference(avatar_split_clause,[],[f539,f630]) ).
tff(f628,plain,
spl59_12,
inference(avatar_split_clause,[],[f540,f625]) ).
tff(f540,plain,
eq_prefix1(int,sF54,sF42,sK7),
inference(definition_folding,[],[f360,f519,f539]) ).
tff(f360,plain,
eq_prefix1(int,t2tb2(sK0),t2tb2(sK8),sK7),
inference(cnf_transformation,[],[f249]) ).
tff(f623,plain,
spl59_11,
inference(avatar_split_clause,[],[f525,f620]) ).
tff(f618,plain,
spl59_10,
inference(avatar_split_clause,[],[f507,f615]) ).
tff(f613,plain,
spl59_9,
inference(avatar_split_clause,[],[f527,f610]) ).
tff(f608,plain,
spl59_8,
inference(avatar_split_clause,[],[f362,f605]) ).
tff(f362,plain,
partial_solution1(sK7,sK8),
inference(cnf_transformation,[],[f249]) ).
tff(f603,plain,
~ spl59_7,
inference(avatar_split_clause,[],[f488,f600]) ).
tff(f488,plain,
~ $less(sK7,0),
inference(definition_unfolding,[],[f354,f357]) ).
tff(f354,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f249]) ).
tff(f598,plain,
spl59_6,
inference(avatar_split_clause,[],[f528,f595]) ).
tff(f593,plain,
~ spl59_5,
inference(avatar_split_clause,[],[f557,f590]) ).
tff(f557,plain,
~ is_empty(int,sF39),
inference(definition_folding,[],[f343,f514]) ).
tff(f343,plain,
~ is_empty(int,t2tb(sK4)),
inference(cnf_transformation,[],[f249]) ).
tff(f588,plain,
~ spl59_4,
inference(avatar_split_clause,[],[f342,f585]) ).
tff(f342,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f249]) ).
tff(f583,plain,
spl59_3,
inference(avatar_split_clause,[],[f503,f580]) ).
tff(f578,plain,
spl59_2,
inference(avatar_split_clause,[],[f552,f575]) ).
tff(f575,plain,
( spl59_2
<=> ( $uminus(sK7) = sF56 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_2])]) ).
tff(f573,plain,
spl59_1,
inference(avatar_split_clause,[],[f513,f570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW635_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.14 % Command : run_vampire %s %d THM
% 0.13/0.38 % Computer : n025.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Jun 19 09:19:24 EDT 2024
% 0.13/0.38 % CPUTime :
% 0.13/0.39 This is a TF0_THM_EQU_ARI problem
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13792)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13791)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13796)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13793)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13795)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13794)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)
% 0.25/0.46 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (13790)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)
% 0.25/0.46 % (13793)Instruction limit reached!
% 0.25/0.46 % (13793)------------------------------
% 0.25/0.46 % (13793)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.46 % (13793)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.46 % (13793)Termination reason: Time limit
% 0.25/0.46 % (13793)Termination phase: Property scanning
% 0.25/0.46
% 0.25/0.46 % (13793)Memory used [KB]: 853
% 0.25/0.46 % (13793)Time elapsed: 0.003 s
% 0.25/0.46 % (13793)Instructions burned: 2 (million)
% 0.25/0.47 % (13792)Instruction limit reached!
% 0.25/0.47 % (13792)------------------------------
% 0.25/0.47 % (13792)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.47 % (13792)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.47 % (13792)Termination reason: Time limit
% 0.25/0.47 % (13792)Termination phase: Property scanning
% 0.25/0.47
% 0.25/0.47 % (13792)Memory used [KB]: 1100
% 0.25/0.47 % (13792)Time elapsed: 0.007 s
% 0.25/0.47 % (13792)Instructions burned: 9 (million)
% 0.25/0.47 % (13795)Instruction limit reached!
% 0.25/0.47 % (13795)------------------------------
% 0.25/0.47 % (13795)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.47 % (13795)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.47 % (13795)Termination reason: Time limit
% 0.25/0.47 % (13795)Termination phase: Saturation
% 0.25/0.47
% 0.25/0.47 % (13795)Memory used [KB]: 1102
% 0.25/0.47 % (13795)Time elapsed: 0.010 s
% 0.25/0.47 % (13795)Instructions burned: 15 (million)
% 0.25/0.48 % (13796)Instruction limit reached!
% 0.25/0.48 % (13796)------------------------------
% 0.25/0.48 % (13796)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (13796)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (13796)Termination reason: Time limit
% 0.25/0.48 % (13796)Termination phase: Saturation
% 0.25/0.48
% 0.25/0.48 % (13796)Memory used [KB]: 1515
% 0.25/0.48 % (13796)Time elapsed: 0.021 s
% 0.25/0.48 % (13796)Instructions burned: 32 (million)
% 0.25/0.48 % (13791)Instruction limit reached!
% 0.25/0.48 % (13791)------------------------------
% 0.25/0.48 % (13791)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (13791)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (13791)Termination reason: Time limit
% 0.25/0.48 % (13791)Termination phase: Saturation
% 0.25/0.48
% 0.25/0.48 % (13791)Memory used [KB]: 1550
% 0.25/0.48 % (13791)Time elapsed: 0.023 s
% 0.25/0.48 % (13791)Instructions burned: 34 (million)
% 0.25/0.49 % (13794)Instruction limit reached!
% 0.25/0.49 % (13794)------------------------------
% 0.25/0.49 % (13794)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.49 % (13794)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.49 % (13794)Termination reason: Time limit
% 0.25/0.49 % (13794)Termination phase: Saturation
% 0.25/0.49
% 0.25/0.49 % (13794)Memory used [KB]: 1578
% 0.25/0.49 % (13794)Time elapsed: 0.026 s
% 0.25/0.49 % (13794)Instructions burned: 38 (million)
% 0.25/0.52 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52 % (13797)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)
% 0.25/0.53 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53 % (13798)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)
% 0.25/0.53 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53 % (13799)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)
% 0.25/0.53 % (13799)Instruction limit reached!
% 0.25/0.53 % (13799)------------------------------
% 0.25/0.53 % (13799)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.53 % (13799)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.53 % (13799)Termination reason: Time limit
% 0.25/0.53 % (13799)Termination phase: Property scanning
% 0.25/0.53
% 0.25/0.53 % (13799)Memory used [KB]: 853
% 0.25/0.53 % (13799)Time elapsed: 0.003 s
% 0.25/0.53 % (13799)Instructions burned: 3 (million)
% 0.25/0.54 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (13800)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.25/0.54 % (13798)Instruction limit reached!
% 0.25/0.54 % (13798)------------------------------
% 0.25/0.54 % (13798)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (13798)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (13798)Termination reason: Time limit
% 0.25/0.54 % (13798)Termination phase: Saturation
% 0.25/0.54
% 0.25/0.54 % (13798)Memory used [KB]: 1460
% 0.25/0.54 % (13798)Time elapsed: 0.017 s
% 0.25/0.54 % (13798)Instructions burned: 27 (million)
% 0.25/0.54 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (13801)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)
% 0.25/0.54 % (13801)Instruction limit reached!
% 0.25/0.54 % (13801)------------------------------
% 0.25/0.54 % (13801)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (13801)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (13801)Termination reason: Time limit
% 0.25/0.54 % (13801)Termination phase: Preprocessing 1
% 0.25/0.54
% 0.25/0.54 % (13801)Memory used [KB]: 857
% 0.25/0.54 % (13801)Time elapsed: 0.004 s
% 0.25/0.54 % (13801)Instructions burned: 5 (million)
% 0.25/0.54 % (13797)Instruction limit reached!
% 0.25/0.54 % (13797)------------------------------
% 0.25/0.54 % (13797)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (13797)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (13797)Termination reason: Time limit
% 0.25/0.54 % (13797)Termination phase: Saturation
% 0.25/0.54
% 0.25/0.54 % (13797)Memory used [KB]: 1551
% 0.25/0.54 % (13797)Time elapsed: 0.024 s
% 0.25/0.54 % (13797)Instructions burned: 36 (million)
% 0.25/0.55 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.55 % (13802)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)
% 0.25/0.55 % (13802)Instruction limit reached!
% 0.25/0.55 % (13802)------------------------------
% 0.25/0.55 % (13802)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.55 % (13802)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.55 % (13802)Termination reason: Time limit
% 0.25/0.55 % (13802)Termination phase: Property scanning
% 0.25/0.55
% 0.25/0.55 % (13802)Memory used [KB]: 853
% 0.25/0.55 % (13802)Time elapsed: 0.003 s
% 0.25/0.55 % (13802)Instructions burned: 3 (million)
% 0.25/0.56 % (13800)Instruction limit reached!
% 0.25/0.56 % (13800)------------------------------
% 0.25/0.56 % (13800)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.56 % (13800)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.56 % (13800)Termination reason: Time limit
% 0.25/0.56 % (13800)Termination phase: Saturation
% 0.25/0.56
% 0.25/0.56 % (13800)Memory used [KB]: 1492
% 0.25/0.56 % (13800)Time elapsed: 0.023 s
% 0.25/0.56 % (13800)Instructions burned: 35 (million)
% 0.25/0.59 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.59 % (13803)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.25/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.60 % (13804)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 (2998ds/50Mi)
% 0.25/0.60 % (13803)Instruction limit reached!
% 0.25/0.60 % (13803)------------------------------
% 0.25/0.60 % (13803)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.60 % (13803)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.60 % (13803)Termination reason: Time limit
% 0.25/0.60 % (13803)Termination phase: Saturation
% 0.25/0.60
% 0.25/0.60 % (13803)Memory used [KB]: 1251
% 0.25/0.60 % (13803)Time elapsed: 0.013 s
% 0.25/0.60 % (13803)Instructions burned: 21 (million)
% 0.25/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.60 % (13805)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 (2998ds/2Mi)
% 0.25/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.60 % (13806)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.25/0.60 % (13805)Instruction limit reached!
% 0.25/0.60 % (13805)------------------------------
% 0.25/0.60 % (13805)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.60 % (13805)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.60 % (13805)Termination reason: Time limit
% 0.25/0.60 % (13805)Termination phase: Property scanning
% 0.25/0.60
% 0.25/0.60 % (13806)Instruction limit reached!
% 0.25/0.60 % (13806)------------------------------
% 0.25/0.60 % (13806)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.60 % (13805)Memory used [KB]: 853
% 0.25/0.60 % (13805)Time elapsed: 0.002 s
% 0.25/0.60 % (13805)Instructions burned: 2 (million)
% 0.25/0.60 % (13806)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.60 % (13806)Termination reason: Time limit
% 0.25/0.60 % (13806)Termination phase: Property scanning
% 0.25/0.60
% 0.25/0.60 % (13806)Memory used [KB]: 854
% 0.25/0.60 % (13806)Time elapsed: 0.003 s
% 0.25/0.60 % (13806)Instructions burned: 2 (million)
% 0.25/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.60 % (13807)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 (2998ds/49Mi)
% 0.25/0.62 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.62 % (13808)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)
% 0.25/0.63 % (13804)Instruction limit reached!
% 0.25/0.63 % (13804)------------------------------
% 0.25/0.63 % (13804)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.63 % (13804)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.63 % (13804)Termination reason: Time limit
% 0.25/0.63 % (13804)Termination phase: Saturation
% 0.25/0.63
% 0.25/0.63 % (13804)Memory used [KB]: 1753
% 0.25/0.63 % (13804)Time elapsed: 0.029 s
% 0.25/0.63 % (13804)Instructions burned: 51 (million)
% 0.25/0.63 % (13808)Instruction limit reached!
% 0.25/0.63 % (13808)------------------------------
% 0.25/0.63 % (13808)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.63 % (13808)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.63 % (13808)Termination reason: Time limit
% 0.25/0.63 % (13808)Termination phase: Saturation
% 0.25/0.63
% 0.25/0.63 % (13808)Memory used [KB]: 1204
% 0.25/0.63 % (13808)Time elapsed: 0.010 s
% 0.25/0.63 % (13808)Instructions burned: 16 (million)
% 0.25/0.63 % (13807)Instruction limit reached!
% 0.25/0.63 % (13807)------------------------------
% 0.25/0.63 % (13807)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.63 % (13807)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.63 % (13807)Termination reason: Time limit
% 0.25/0.63 % (13807)Termination phase: Saturation
% 0.25/0.63
% 0.25/0.63 % (13807)Memory used [KB]: 1548
% 0.25/0.63 % (13807)Time elapsed: 0.030 s
% 0.25/0.63 % (13807)Instructions burned: 50 (million)
% 0.25/0.65 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.65 % (13809)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 (2998ds/2Mi)
% 0.25/0.66 % (13809)Instruction limit reached!
% 0.25/0.66 % (13809)------------------------------
% 0.25/0.66 % (13809)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.66 % (13809)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.66 % (13809)Termination reason: Time limit
% 0.25/0.66 % (13809)Termination phase: SInE selection
% 0.25/0.66
% 0.25/0.66 % (13809)Memory used [KB]: 853
% 0.25/0.66 % (13809)Time elapsed: 0.003 s
% 0.25/0.66 % (13809)Instructions burned: 3 (million)
% 0.25/0.66 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.66 % (13811)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.25/0.66 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.66 % (13810)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.25/0.67 % (13810)Instruction limit reached!
% 0.25/0.67 % (13810)------------------------------
% 0.25/0.67 % (13810)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.67 % (13810)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.67 % (13810)Termination reason: Time limit
% 0.25/0.67 % (13810)Termination phase: Saturation
% 0.25/0.67
% 0.25/0.67 % (13810)Memory used [KB]: 1194
% 0.25/0.67 % (13810)Time elapsed: 0.009 s
% 0.25/0.67 % (13810)Instructions burned: 15 (million)
% 0.25/0.67 % (13811)Instruction limit reached!
% 0.25/0.67 % (13811)------------------------------
% 0.25/0.67 % (13811)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.67 % (13811)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.67 % (13811)Termination reason: Time limit
% 0.25/0.67 % (13811)Termination phase: Saturation
% 0.25/0.67
% 0.25/0.67 % (13811)Memory used [KB]: 1327
% 0.25/0.67 % (13811)Time elapsed: 0.013 s
% 0.25/0.67 % (13811)Instructions burned: 22 (million)
% 0.25/0.68 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.68 % (13812)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 (2997ds/46Mi)
% 0.25/0.68 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.68 % (13813)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.25/0.69 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.69 % (13814)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 (2997ds/47Mi)
% 0.25/0.71 % (13812)Instruction limit reached!
% 0.25/0.71 % (13812)------------------------------
% 0.25/0.71 % (13812)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.71 % (13812)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.71 % (13812)Termination reason: Time limit
% 0.25/0.71 % (13812)Termination phase: Saturation
% 0.25/0.71
% 0.25/0.71 % (13812)Memory used [KB]: 1622
% 0.25/0.71 % (13812)Time elapsed: 0.027 s
% 0.25/0.71 % (13812)Instructions burned: 47 (million)
% 0.25/0.71 % (13813)Instruction limit reached!
% 0.25/0.71 % (13813)------------------------------
% 0.25/0.71 % (13813)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.71 % (13813)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.71 % (13813)Termination reason: Time limit
% 0.25/0.71 % (13813)Termination phase: Saturation
% 0.25/0.71
% 0.25/0.71 % (13813)Memory used [KB]: 1582
% 0.25/0.71 % (13813)Time elapsed: 0.030 s
% 0.25/0.71 % (13813)Instructions burned: 50 (million)
% 0.25/0.71 % (13789)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.71 % (13815)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 (2997ds/42Mi)
% 2.36/0.71 % (13814)Instruction limit reached!
% 2.36/0.71 % (13814)------------------------------
% 2.36/0.71 % (13814)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.36/0.71 % (13814)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.36/0.71 % (13814)Termination reason: Time limit
% 2.36/0.71 % (13814)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (13814)Memory used [KB]: 1563
% 2.36/0.71 % (13814)Time elapsed: 0.028 s
% 2.36/0.71 % (13814)Instructions burned: 48 (million)
% 2.36/0.72 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.36/0.72 % (13816)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/43Mi)
% 2.36/0.72 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.36/0.72 % (13817)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.44/0.73 % (13815)Instruction limit reached!
% 2.44/0.73 % (13815)------------------------------
% 2.44/0.73 % (13815)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.73 % (13815)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.73 % (13815)Termination reason: Time limit
% 2.44/0.73 % (13815)Termination phase: Saturation
% 2.44/0.73
% 2.44/0.73 % (13815)Memory used [KB]: 1657
% 2.44/0.73 % (13815)Time elapsed: 0.025 s
% 2.44/0.73 % (13815)Instructions burned: 43 (million)
% 2.44/0.74 % (13817)Instruction limit reached!
% 2.44/0.74 % (13817)------------------------------
% 2.44/0.74 % (13817)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.74 % (13817)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.74 % (13817)Termination reason: Time limit
% 2.44/0.74 % (13817)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (13817)Memory used [KB]: 1318
% 2.44/0.74 % (13817)Time elapsed: 0.013 s
% 2.44/0.74 % (13817)Instructions burned: 22 (million)
% 2.44/0.74 % (13816)Refutation not found, non-redundant clauses discarded% (13816)------------------------------
% 2.44/0.74 % (13816)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.74 % (13816)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.74 % (13816)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.44/0.74
% 2.44/0.74 % (13816)Memory used [KB]: 1604
% 2.44/0.74 % (13816)Time elapsed: 0.023 s
% 2.44/0.74 % (13816)Instructions burned: 44 (million)
% 2.44/0.74 % (13816)------------------------------
% 2.44/0.74 % (13816)------------------------------
% 2.44/0.76 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.76 % (13818)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 (2996ds/21Mi)
% 2.44/0.76 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.76 % (13819)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 (2996ds/41Mi)
% 2.44/0.77 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.77 % (13820)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.44/0.77 % (13818)Instruction limit reached!
% 2.44/0.77 % (13818)------------------------------
% 2.44/0.77 % (13818)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.77 % (13818)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.77 % (13818)Termination reason: Time limit
% 2.44/0.77 % (13818)Termination phase: Saturation
% 2.44/0.77
% 2.44/0.77 % (13818)Memory used [KB]: 1316
% 2.44/0.77 % (13818)Time elapsed: 0.013 s
% 2.44/0.77 % (13818)Instructions burned: 22 (million)
% 2.44/0.78 % (13820)Instruction limit reached!
% 2.44/0.78 % (13820)------------------------------
% 2.44/0.78 % (13820)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.78 % (13820)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.78 % (13820)Termination reason: Time limit
% 2.44/0.78 % (13820)Termination phase: Saturation
% 2.44/0.78
% 2.44/0.78 % (13820)Memory used [KB]: 1190
% 2.44/0.78 % (13820)Time elapsed: 0.010 s
% 2.44/0.78 % (13820)Instructions burned: 16 (million)
% 2.44/0.79 % (13819)Instruction limit reached!
% 2.44/0.79 % (13819)------------------------------
% 2.44/0.79 % (13819)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.79 % (13819)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.79 % (13819)Termination reason: Time limit
% 2.44/0.79 % (13819)Termination phase: Saturation
% 2.44/0.79
% 2.44/0.79 % (13819)Memory used [KB]: 1646
% 2.44/0.79 % (13819)Time elapsed: 0.024 s
% 2.44/0.79 % (13819)Instructions burned: 41 (million)
% 2.44/0.79 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.79 % (13821)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 (2996ds/47Mi)
% 2.44/0.79 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.79 % (13822)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/25Mi)
% 2.44/0.80 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.80 % (13823)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 (2996ds/148Mi)
% 2.44/0.80 % (13822)Instruction limit reached!
% 2.44/0.80 % (13822)------------------------------
% 2.44/0.80 % (13822)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.80 % (13822)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.80 % (13822)Termination reason: Time limit
% 2.44/0.80 % (13822)Termination phase: Saturation
% 2.44/0.80
% 2.44/0.80 % (13822)Memory used [KB]: 1386
% 2.44/0.80 % (13822)Time elapsed: 0.015 s
% 2.44/0.80 % (13822)Instructions burned: 26 (million)
% 2.44/0.82 % (13821)Instruction limit reached!
% 2.44/0.82 % (13821)------------------------------
% 2.44/0.82 % (13821)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.82 % (13821)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.82 % (13821)Termination reason: Time limit
% 2.44/0.82 % (13821)Termination phase: Saturation
% 2.44/0.82
% 2.44/0.82 % (13821)Memory used [KB]: 1721
% 2.44/0.82 % (13821)Time elapsed: 0.030 s
% 2.44/0.82 % (13821)Instructions burned: 48 (million)
% 2.44/0.83 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.83 % (13824)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 (2996ds/100Mi)
% 2.95/0.83 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.95/0.83 % (13825)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 (2996ds/76Mi)
% 2.95/0.84 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.95/0.84 % (13826)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 (2996ds/58Mi)
% 2.95/0.86 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.95/0.86 % (13827)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.95/0.87 % (13826)Instruction limit reached!
% 2.95/0.87 % (13826)------------------------------
% 2.95/0.87 % (13826)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.95/0.87 % (13826)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.95/0.87 % (13826)Termination reason: Time limit
% 2.95/0.87 % (13826)Termination phase: Saturation
% 2.95/0.87
% 2.95/0.87 % (13826)Memory used [KB]: 1744
% 2.95/0.87 % (13826)Time elapsed: 0.032 s
% 2.95/0.87 % (13826)Instructions burned: 59 (million)
% 2.95/0.87 % (13789)Running in auto input_syntax mode. Trying TPTP
% 2.95/0.87 % (13828)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 (2995ds/108Mi)
% 2.95/0.88 % (13825)Instruction limit reached!
% 2.95/0.88 % (13825)------------------------------
% 2.95/0.88 % (13825)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.95/0.88 % (13825)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.95/0.88 % (13825)Termination reason: Time limit
% 2.95/0.88 % (13825)Termination phase: Saturation
% 2.95/0.88
% 2.95/0.88 % (13825)Memory used [KB]: 2057
% 2.95/0.88 % (13825)Time elapsed: 0.045 s
% 2.95/0.88 % (13825)Instructions burned: 76 (million)
% 2.95/0.88 % (13823)Instruction limit reached!
% 2.95/0.88 % (13823)------------------------------
% 2.95/0.88 % (13823)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.95/0.88 % (13823)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.95/0.88 % (13823)Termination reason: Time limit
% 2.95/0.88 % (13823)Termination phase: Saturation
% 2.95/0.88
% 2.95/0.88 % (13823)Memory used [KB]: 2363
% 2.95/0.88 % (13823)Time elapsed: 0.083 s
% 2.95/0.88 % (13823)Instructions burned: 149 (million)
% 2.95/0.88 % (13824)Instruction limit reached!
% 2.95/0.88 % (13824)------------------------------
% 2.95/0.88 % (13824)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.95/0.88 % (13824)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.95/0.88 % (13824)Termination reason: Time limit
% 2.95/0.88 % (13824)Termination phase: Saturation
% 2.95/0.88
% 2.95/0.88 % (13824)Memory used [KB]: 2200
% 2.95/0.88 % (13824)Time elapsed: 0.057 s
% 2.95/0.88 % (13824)Instructions burned: 101 (million)
% 3.44/0.91 % (13827)Instruction limit reached!
% 3.44/0.91 % (13827)------------------------------
% 3.44/0.91 % (13827)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.44/0.91 % (13827)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.44/0.91 % (13827)Termination reason: Time limit
% 3.44/0.91 % (13827)Termination phase: Saturation
% 3.44/0.91
% 3.44/0.91 % (13827)Memory used [KB]: 1457
% 3.44/0.91 % (13827)Time elapsed: 0.055 s
% 3.44/0.91 % (13827)Instructions burned: 97 (million)
% 3.44/0.93 % (13828)Instruction limit reached!
% 3.44/0.93 % (13828)------------------------------
% 3.44/0.93 % (13828)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.44/0.93 % (13828)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.44/0.93 % (13828)Termination reason: Time limit
% 3.44/0.93 % (13828)Termination phase: Saturation
% 3.44/0.93
% 3.44/0.93 % (13828)Memory used [KB]: 1251
% 3.44/0.93 % (13828)Time elapsed: 0.056 s
% 3.44/0.93 % (13828)Instructions burned: 108 (million)
% 3.44/0.93 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.93 % (13829)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 (2995ds/463Mi)
% 3.44/0.93 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.93 % (13830)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 (2995ds/494Mi)
% 3.44/0.93 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.93 % (13831)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/223Mi)
% 3.44/0.94 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.94 % (13832)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 (2995ds/343Mi)
% 3.74/0.97 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.97 % (13833)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 (2994ds/488Mi)
% 3.74/0.99 % (13789)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.99 % (13834)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 (2994ds/150Mi)
% 3.74/1.05 % (13831)Instruction limit reached!
% 3.74/1.05 % (13831)------------------------------
% 3.74/1.05 % (13831)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/1.05 % (13831)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/1.05 % (13831)Termination reason: Time limit
% 3.74/1.05 % (13831)Termination phase: Saturation
% 3.74/1.05
% 3.74/1.05 % (13831)Memory used [KB]: 1640
% 3.74/1.05 % (13831)Time elapsed: 0.115 s
% 3.74/1.05 % (13831)Instructions burned: 223 (million)
% 3.74/1.06 % (13834)Instruction limit reached!
% 3.74/1.06 % (13834)------------------------------
% 3.74/1.06 % (13834)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/1.06 % (13834)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/1.06 % (13834)Termination reason: Time limit
% 3.74/1.06 % (13834)Termination phase: Saturation
% 3.74/1.06
% 3.74/1.06 % (13834)Memory used [KB]: 1336
% 3.74/1.06 % (13834)Time elapsed: 0.076 s
% 3.74/1.06 % (13834)Instructions burned: 151 (million)
% 4.18/1.10 % (13832)Instruction limit reached!
% 4.18/1.10 % (13832)------------------------------
% 4.18/1.10 % (13832)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.18/1.10 % (13832)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.18/1.10 % (13832)Termination reason: Time limit
% 4.18/1.10 % (13832)Termination phase: Saturation
% 4.18/1.10
% 4.18/1.10 % (13832)Memory used [KB]: 2480
% 4.18/1.10 % (13832)Time elapsed: 0.158 s
% 4.18/1.10 % (13832)Instructions burned: 344 (million)
% 4.18/1.11 % (13789)Running in auto input_syntax mode. Trying TPTP
% 4.18/1.11 % (13835)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 (2993ds/160Mi)
% 4.18/1.12 % (13789)Running in auto input_syntax mode. Trying TPTP
% 4.18/1.12 % (13836)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 (2993ds/370Mi)
% 4.45/1.15 % (13789)Running in auto input_syntax mode. Trying TPTP
% 4.45/1.15 % (13837)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 (2993ds/493Mi)
% 4.45/1.16 % (13830)Instruction limit reached!
% 4.45/1.16 % (13830)------------------------------
% 4.45/1.16 % (13830)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.45/1.16 % (13830)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.45/1.16 % (13830)Termination reason: Time limit
% 4.45/1.16 % (13830)Termination phase: Saturation
% 4.45/1.16
% 4.45/1.16 % (13830)Memory used [KB]: 3073
% 4.45/1.16 % (13830)Time elapsed: 0.228 s
% 4.45/1.16 % (13830)Instructions burned: 494 (million)
% 4.45/1.18 % (13833)Instruction limit reached!
% 4.45/1.18 % (13833)------------------------------
% 4.45/1.18 % (13833)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.45/1.18 % (13833)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.45/1.18 % (13833)Termination reason: Time limit
% 4.45/1.18 % (13833)Termination phase: Saturation
% 4.45/1.18
% 4.45/1.18 % (13833)Memory used [KB]: 2684
% 4.45/1.18 % (13833)Time elapsed: 0.212 s
% 4.45/1.18 % (13833)Instructions burned: 489 (million)
% 4.45/1.18 % (13829)Instruction limit reached!
% 4.45/1.18 % (13829)------------------------------
% 4.45/1.18 % (13829)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.45/1.18 % (13829)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.45/1.18 % (13829)Termination reason: Time limit
% 4.45/1.18 % (13829)Termination phase: Saturation
% 4.45/1.18
% 4.45/1.18 % (13829)Memory used [KB]: 4011
% 4.45/1.18 % (13829)Time elapsed: 0.258 s
% 4.45/1.18 % (13829)Instructions burned: 464 (million)
% 4.45/1.19 % (13835)Instruction limit reached!
% 4.45/1.19 % (13835)------------------------------
% 4.45/1.19 % (13835)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.45/1.19 % (13835)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.45/1.19 % (13835)Termination reason: Time limit
% 4.45/1.19 % (13835)Termination phase: Saturation
% 4.45/1.19
% 4.45/1.19 % (13835)Memory used [KB]: 1427
% 4.45/1.19 % (13835)Time elapsed: 0.082 s
% 4.45/1.19 % (13835)Instructions burned: 160 (million)
% 5.51/1.22 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.51/1.22 % (13838)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 (2992ds/81Mi)
% 5.51/1.24 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.51/1.24 % (13839)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 (2992ds/146Mi)
% 5.51/1.24 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.51/1.24 % (13840)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 (2992ds/211Mi)
% 5.51/1.24 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.51/1.24 % (13841)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/274Mi)
% 5.57/1.27 % (13838)Instruction limit reached!
% 5.57/1.27 % (13838)------------------------------
% 5.57/1.27 % (13838)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.57/1.27 % (13838)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.57/1.27 % (13838)Termination reason: Time limit
% 5.57/1.27 % (13838)Termination phase: Saturation
% 5.57/1.27
% 5.57/1.27 % (13838)Memory used [KB]: 1976
% 5.57/1.27 % (13838)Time elapsed: 0.049 s
% 5.57/1.27 % (13838)Instructions burned: 82 (million)
% 5.57/1.31 % (13839)Instruction limit reached!
% 5.57/1.31 % (13839)------------------------------
% 5.57/1.31 % (13839)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.57/1.31 % (13839)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.57/1.31 % (13839)Termination reason: Time limit
% 5.57/1.31 % (13839)Termination phase: Saturation
% 5.57/1.31
% 5.57/1.31 % (13839)Memory used [KB]: 1410
% 5.57/1.31 % (13839)Time elapsed: 0.074 s
% 5.57/1.31 % (13839)Instructions burned: 147 (million)
% 5.57/1.31 % (13836)Instruction limit reached!
% 5.57/1.31 % (13836)------------------------------
% 5.57/1.31 % (13836)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.57/1.31 % (13836)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.57/1.31 % (13836)Termination reason: Time limit
% 5.57/1.31 % (13836)Termination phase: Saturation
% 5.57/1.31
% 5.57/1.31 % (13836)Memory used [KB]: 2268
% 5.57/1.31 % (13836)Time elapsed: 0.196 s
% 5.57/1.31 % (13836)Instructions burned: 371 (million)
% 5.57/1.32 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.32 % (13842)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 (2991ds/330Mi)
% 5.57/1.35 % (13840)Instruction limit reached!
% 5.57/1.35 % (13840)------------------------------
% 5.57/1.35 % (13840)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.57/1.35 % (13840)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.57/1.35 % (13840)Termination reason: Time limit
% 5.57/1.35 % (13840)Termination phase: Saturation
% 5.57/1.35
% 5.57/1.35 % (13840)Memory used [KB]: 3236
% 5.57/1.35 % (13840)Time elapsed: 0.115 s
% 5.57/1.35 % (13840)Instructions burned: 212 (million)
% 5.57/1.37 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.37 % (13844)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/213Mi)
% 5.57/1.37 % (13789)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.37 % (13843)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 (2991ds/294Mi)
% 7.02/1.39 % (13841)Instruction limit reached!
% 7.02/1.39 % (13841)------------------------------
% 7.02/1.39 % (13841)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.02/1.39 % (13841)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.02/1.39 % (13841)Termination reason: Time limit
% 7.02/1.39 % (13841)Termination phase: Saturation
% 7.02/1.39
% 7.02/1.39 % (13841)Memory used [KB]: 2936
% 7.02/1.39 % (13841)Time elapsed: 0.172 s
% 7.02/1.39 % (13841)Instructions burned: 274 (million)
% 7.02/1.41 % (13837)Instruction limit reached!
% 7.02/1.41 % (13837)------------------------------
% 7.02/1.41 % (13837)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.02/1.41 % (13837)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.02/1.41 % (13837)Termination reason: Time limit
% 7.02/1.41 % (13837)Termination phase: Saturation
% 7.02/1.41
% 7.02/1.41 % (13837)Memory used [KB]: 2747
% 7.02/1.41 % (13837)Time elapsed: 0.258 s
% 7.02/1.41 % (13837)Instructions burned: 495 (million)
% 7.25/1.41 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.25/1.41 % (13845)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 (2990ds/374Mi)
% 7.42/1.45 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.42/1.45 % Exception at run slice level
% 7.42/1.45 User error: bad test id 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
% 7.42/1.47 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.42/1.47 % (13847)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 (2990ds/488Mi)
% 7.42/1.48 % (13844)Instruction limit reached!
% 7.42/1.48 % (13844)------------------------------
% 7.42/1.48 % (13844)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.42/1.48 % (13844)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.42/1.48 % (13844)Termination reason: Time limit
% 7.42/1.48 % (13844)Termination phase: Saturation
% 7.42/1.48
% 7.42/1.48 % (13844)Memory used [KB]: 4188
% 7.42/1.48 % (13844)Time elapsed: 0.139 s
% 7.42/1.48 % (13844)Instructions burned: 214 (million)
% 7.42/1.50 % (13842)Instruction limit reached!
% 7.42/1.50 % (13842)------------------------------
% 7.42/1.50 % (13842)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.42/1.50 % (13842)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.42/1.50 % (13842)Termination reason: Time limit
% 7.42/1.50 % (13842)Termination phase: Saturation
% 7.42/1.50
% 7.42/1.50 % (13842)Memory used [KB]: 2756
% 7.42/1.50 % (13842)Time elapsed: 0.201 s
% 7.42/1.50 % (13842)Instructions burned: 331 (million)
% 7.42/1.51 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.42/1.51 % (13848)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 (2989ds/230Mi)
% 7.42/1.52 % (13843)Instruction limit reached!
% 7.42/1.52 % (13843)------------------------------
% 7.42/1.52 % (13843)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.42/1.52 % (13843)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.42/1.52 % (13843)Termination reason: Time limit
% 7.42/1.52 % (13843)Termination phase: Saturation
% 7.42/1.52
% 7.42/1.52 % (13843)Memory used [KB]: 2115
% 7.42/1.52 % (13843)Time elapsed: 0.178 s
% 7.42/1.52 % (13843)Instructions burned: 295 (million)
% 7.86/1.54 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.86/1.54 % (13849)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 (2989ds/360Mi)
% 7.86/1.56 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.86/1.56 % (13850)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 (2988ds/382Mi)
% 7.96/1.58 % (13789)Running in auto input_syntax mode. Trying TPTP
% 7.96/1.58 % (13851)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 (2988ds/256Mi)
% 7.96/1.60 % (13845)Instruction limit reached!
% 7.96/1.60 % (13845)------------------------------
% 7.96/1.60 % (13845)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.96/1.61 % (13845)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.96/1.61 % (13845)Termination reason: Time limit
% 7.96/1.61 % (13845)Termination phase: Saturation
% 7.96/1.61
% 7.96/1.61 % (13845)Memory used [KB]: 2942
% 7.96/1.61 % (13845)Time elapsed: 0.218 s
% 7.96/1.61 % (13845)Instructions burned: 375 (million)
% 7.96/1.63 % (13848)Instruction limit reached!
% 7.96/1.63 % (13848)------------------------------
% 7.96/1.63 % (13848)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.96/1.63 % (13848)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.96/1.63 % (13848)Termination reason: Time limit
% 7.96/1.63 % (13848)Termination phase: Saturation
% 7.96/1.63
% 7.96/1.63 % (13848)Memory used [KB]: 1939
% 7.96/1.63 % (13848)Time elapsed: 0.130 s
% 7.96/1.63 % (13848)Instructions burned: 230 (million)
% 8.25/1.66 % (13789)Running in auto input_syntax mode. Trying TPTP
% 8.25/1.66 % (13852)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)
% 8.25/1.68 % (13847)Instruction limit reached!
% 8.25/1.68 % (13847)------------------------------
% 8.25/1.68 % (13847)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.25/1.68 % (13847)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.25/1.68 % (13847)Termination reason: Time limit
% 8.25/1.68 % (13847)Termination phase: Saturation
% 8.25/1.68
% 8.25/1.68 % (13847)Memory used [KB]: 2685
% 8.25/1.68 % (13847)Time elapsed: 0.236 s
% 8.25/1.68 % (13847)Instructions burned: 489 (million)
% 8.25/1.69 % (13789)Running in auto input_syntax mode. Trying TPTP
% 8.25/1.69 % (13853)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3721Mi)
% 8.57/1.73 % (13851)Instruction limit reached!
% 8.57/1.73 % (13851)------------------------------
% 8.57/1.73 % (13851)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.57/1.73 % (13851)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.57/1.73 % (13851)Termination reason: Time limit
% 8.57/1.73 % (13851)Termination phase: Saturation
% 8.57/1.73
% 8.57/1.73 % (13851)Memory used [KB]: 2736
% 8.57/1.73 % (13851)Time elapsed: 0.145 s
% 8.57/1.73 % (13851)Instructions burned: 256 (million)
% 8.57/1.73 % (13849)Instruction limit reached!
% 8.57/1.73 % (13849)------------------------------
% 8.57/1.73 % (13849)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.57/1.73 % (13849)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.57/1.73 % (13849)Termination reason: Time limit
% 8.57/1.73 % (13849)Termination phase: Saturation
% 8.57/1.73
% 8.57/1.73 % (13849)Memory used [KB]: 2298
% 8.57/1.73 % (13849)Time elapsed: 0.191 s
% 8.57/1.73 % (13849)Instructions burned: 362 (million)
% 8.57/1.74 % (13789)Running in auto input_syntax mode. Trying TPTP
% 8.57/1.74 % (13854)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 (2987ds/501Mi)
% 9.06/1.75 % (13850)Instruction limit reached!
% 9.06/1.75 % (13850)------------------------------
% 9.06/1.75 % (13850)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.06/1.75 % (13850)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.06/1.75 % (13850)Termination reason: Time limit
% 9.06/1.75 % (13850)Termination phase: Saturation
% 9.06/1.75
% 9.06/1.75 % (13850)Memory used [KB]: 2475
% 9.06/1.75 % (13850)Time elapsed: 0.195 s
% 9.06/1.75 % (13850)Instructions burned: 383 (million)
% 9.06/1.78 % (13789)Running in auto input_syntax mode. Trying TPTP
% 9.06/1.78 % (13855)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 (2986ds/1705Mi)
% 9.06/1.79 % (13789)Running in auto input_syntax mode. Trying TPTP
% 9.06/1.79 % (13856)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 (2986ds/2416Mi)
% 9.06/1.81 % (13789)Running in auto input_syntax mode. Trying TPTP
% 9.06/1.81 % (13857)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 (2986ds/1683Mi)
% 11.54/2.03 % (13854)Instruction limit reached!
% 11.54/2.03 % (13854)------------------------------
% 11.54/2.03 % (13854)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.54/2.03 % (13854)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.54/2.03 % (13854)Termination reason: Time limit
% 11.54/2.03 % (13854)Termination phase: Saturation
% 11.54/2.03
% 11.54/2.03 % (13854)Memory used [KB]: 5457
% 11.54/2.03 % (13854)Time elapsed: 0.291 s
% 11.54/2.03 % (13854)Instructions burned: 502 (million)
% 11.67/2.09 % (13789)Running in auto input_syntax mode. Trying TPTP
% 11.67/2.09 % (13858)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 (2983ds/330Mi)
% 12.40/2.22 % (13852)Instruction limit reached!
% 12.40/2.22 % (13852)------------------------------
% 12.40/2.22 % (13852)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.40/2.22 % (13852)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.40/2.22 % (13852)Termination reason: Time limit
% 12.40/2.22 % (13852)Termination phase: Saturation
% 12.40/2.22
% 12.40/2.22 % (13852)Memory used [KB]: 6636
% 12.40/2.22 % (13852)Time elapsed: 0.561 s
% 12.40/2.22 % (13852)Instructions burned: 1007 (million)
% 12.86/2.26 % (13858)Instruction limit reached!
% 12.86/2.26 % (13858)------------------------------
% 12.86/2.26 % (13858)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.86/2.26 % (13858)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.86/2.26 % (13858)Termination reason: Time limit
% 12.86/2.26 % (13858)Termination phase: Saturation
% 12.86/2.26
% 12.86/2.26 % (13858)Memory used [KB]: 3624
% 12.86/2.26 % (13858)Time elapsed: 0.175 s
% 12.86/2.26 % (13858)Instructions burned: 332 (million)
% 13.25/2.28 % (13789)Running in auto input_syntax mode. Trying TPTP
% 13.25/2.28 % (13859)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/113Mi)
% 13.25/2.32 % (13789)Running in auto input_syntax mode. Trying TPTP
% 13.25/2.32 % (13860)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3217Mi)
% 13.50/2.34 % (13859)Instruction limit reached!
% 13.50/2.34 % (13859)------------------------------
% 13.50/2.34 % (13859)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.50/2.34 % (13859)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.50/2.34 % (13859)Termination reason: Time limit
% 13.50/2.34 % (13859)Termination phase: Saturation
% 13.50/2.34
% 13.50/2.34 % (13859)Memory used [KB]: 1355
% 13.50/2.34 % (13859)Time elapsed: 0.059 s
% 13.50/2.34 % (13859)Instructions burned: 114 (million)
% 13.71/2.40 % (13789)Running in auto input_syntax mode. Trying TPTP
% 13.71/2.40 % (13861)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 (2980ds/3528Mi)
% 14.06/2.44 % (13855)Instruction limit reached!
% 14.06/2.44 % (13855)------------------------------
% 14.06/2.44 % (13855)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.06/2.44 % (13855)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.06/2.44 % (13855)Termination reason: Time limit
% 14.06/2.44 % (13855)Termination phase: Saturation
% 14.06/2.44
% 14.06/2.44 % (13855)Memory used [KB]: 5218
% 14.06/2.44 % (13855)Time elapsed: 0.661 s
% 14.06/2.44 % (13855)Instructions burned: 1706 (million)
% 14.70/2.50 % (13789)Running in auto input_syntax mode. Trying TPTP
% 14.70/2.50 % (13862)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 (2979ds/2304Mi)
% 15.75/2.64 % (13857)Instruction limit reached!
% 15.75/2.64 % (13857)------------------------------
% 15.75/2.64 % (13857)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.75/2.64 % (13857)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.75/2.64 % (13857)Termination reason: Time limit
% 15.75/2.64 % (13857)Termination phase: Saturation
% 15.75/2.64
% 15.75/2.64 % (13857)Memory used [KB]: 10497
% 15.75/2.64 % (13857)Time elapsed: 0.839 s
% 15.75/2.64 % (13857)Instructions burned: 1683 (million)
% 16.21/2.70 % (13789)Running in auto input_syntax mode. Trying TPTP
% 16.21/2.70 % (13863)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 (2977ds/3780Mi)
% 18.92/3.13 % (13863)First to succeed.
% 18.92/3.15 % (13863)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13789"
% 18.92/3.15 % (13856)Instruction limit reached!
% 18.92/3.15 % (13856)------------------------------
% 18.92/3.15 % (13856)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.92/3.15 % (13856)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.92/3.15 % (13856)Termination reason: Time limit
% 18.92/3.15 % (13856)Termination phase: Saturation
% 18.92/3.15
% 18.92/3.15 % (13856)Memory used [KB]: 10279
% 18.92/3.15 % (13856)Time elapsed: 1.366 s
% 18.92/3.15 % (13856)Instructions burned: 2416 (million)
% 18.92/3.15 % (13789)Running in auto input_syntax mode. Trying TPTP
% 18.92/3.15 % (13863)Refutation found. Thanks to Tanya!
% 18.92/3.15 % SZS status Theorem for theBenchmark
% 18.92/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 18.92/3.17 % (13863)------------------------------
% 18.92/3.17 % (13863)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.92/3.17 % (13863)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.92/3.17 % (13863)Termination reason: Refutation
% 18.92/3.17
% 18.92/3.17 % (13863)Memory used [KB]: 3328
% 18.92/3.17 % (13863)Time elapsed: 0.447 s
% 18.92/3.17 % (13863)Instructions burned: 814 (million)
% 18.92/3.17 % (13863)------------------------------
% 18.92/3.17 % (13863)------------------------------
% 18.92/3.17 % (13789)Success in time 2.76 s
%------------------------------------------------------------------------------