TSTP Solution File: SWW630_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW630_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:08:56 EDT 2022
% Result : Theorem 41.59s 5.64s
% Output : Refutation 42.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 554
% Syntax : Number of formulae : 2254 ( 165 unt; 92 typ; 0 def)
% Number of atoms : 6897 (1041 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 7755 (3020 ~;3865 |; 320 &)
% ( 395 <=>; 155 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 9 ( 1 avg)
% Number arithmetic : 7150 (2067 atm;1477 fun;2922 num; 684 var)
% Number of types : 10 ( 8 usr; 1 ari)
% Number of type conns : 89 ( 38 >; 51 *; 0 +; 0 <<)
% Number of predicates : 399 ( 395 usr; 394 prp; 0-2 aty)
% Number of functors : 91 ( 82 usr; 51 con; 0-5 aty)
% Number of variables : 1274 (1202 !; 72 ?;1274 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
candidate: $tType ).
tff(type_def_10,type,
lparray_candidatecm_candidaterp: $tType ).
tff(type_def_11,type,
array_candidate: $tType ).
tff(type_def_12,type,
map_int_candidate: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
map: ( ty * ty ) > ty ).
tff(func_def_16,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_17,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_18,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_19,type,
array: ty > ty ).
tff(func_def_20,type,
mk_array: ( ty * $int * uni ) > uni ).
tff(func_def_21,type,
length: ( ty * uni ) > $int ).
tff(func_def_22,type,
elts: ( ty * uni ) > uni ).
tff(func_def_23,type,
get1: ( ty * uni * $int ) > uni ).
tff(func_def_24,type,
t2tb: $int > uni ).
tff(func_def_25,type,
tb2t: uni > $int ).
tff(func_def_26,type,
set1: ( ty * uni * $int * uni ) > uni ).
tff(func_def_27,type,
make: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
candidate1: ty ).
tff(func_def_29,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_30,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_31,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_32,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_33,type,
t2tb1: lparray_candidatecm_candidaterp > uni ).
tff(func_def_34,type,
tb2t1: uni > lparray_candidatecm_candidaterp ).
tff(func_def_35,type,
t2tb2: array_candidate > uni ).
tff(func_def_36,type,
tb2t2: uni > array_candidate ).
tff(func_def_37,type,
t2tb3: candidate > uni ).
tff(func_def_38,type,
tb2t3: uni > candidate ).
tff(func_def_39,type,
num_of: ( lparray_candidatecm_candidaterp * $int * $int ) > $int ).
tff(func_def_43,type,
numof: ( array_candidate * candidate * $int * $int ) > $int ).
tff(func_def_44,type,
t2tb4: map_int_candidate > uni ).
tff(func_def_45,type,
tb2t4: uni > map_int_candidate ).
tff(func_def_48,type,
sK0: $int ).
tff(func_def_49,type,
sK1: map_int_candidate ).
tff(func_def_50,type,
sK2: candidate ).
tff(func_def_51,type,
sK3: $int ).
tff(func_def_52,type,
sK4: $int ).
tff(func_def_53,type,
sK5: $int ).
tff(func_def_54,type,
sK6: $int ).
tff(func_def_55,type,
sK7: $int ).
tff(func_def_56,type,
sK8: ( $int * $int * lparray_candidatecm_candidaterp ) > $int ).
tff(func_def_57,type,
sK9: ( $int * $int * lparray_candidatecm_candidaterp ) > $int ).
tff(func_def_58,type,
sK10: ( $int * lparray_candidatecm_candidaterp * lparray_candidatecm_candidaterp * $int ) > $int ).
tff(func_def_59,type,
sK11: ( lparray_candidatecm_candidaterp * lparray_candidatecm_candidaterp * $int * $int ) > $int ).
tff(func_def_60,type,
sF12: $int ).
tff(func_def_61,type,
sF13: $int ).
tff(func_def_62,type,
sF14: $int ).
tff(func_def_63,type,
sF15: $int ).
tff(func_def_64,type,
sF16: $int ).
tff(func_def_65,type,
sF17: ty ).
tff(func_def_66,type,
sF18: uni ).
tff(func_def_67,type,
sF19: uni ).
tff(func_def_68,type,
sF20: $int ).
tff(func_def_69,type,
sF21: uni ).
tff(func_def_70,type,
sF22: uni ).
tff(func_def_71,type,
sF23: lparray_candidatecm_candidaterp ).
tff(func_def_72,type,
sF24: $int ).
tff(func_def_73,type,
sF25: $int ).
tff(func_def_74,type,
sF26: $int ).
tff(func_def_75,type,
sF27: $int ).
tff(func_def_76,type,
sF28: $int ).
tff(func_def_77,type,
sF29: $int ).
tff(func_def_78,type,
sF30: $int ).
tff(func_def_79,type,
sF31: $int ).
tff(func_def_80,type,
sF32: uni ).
tff(func_def_81,type,
sF33: uni ).
tff(func_def_82,type,
sF34: candidate ).
tff(func_def_83,type,
sF35: $int ).
tff(func_def_92,type,
'$inst37': $int ).
tff(func_def_93,type,
'$inst38': $int ).
tff(func_def_94,type,
'$inst39': $int ).
tff(func_def_95,type,
'$inst40': $int ).
tff(func_def_98,type,
'$inst41': $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
pr: ( lparray_candidatecm_candidaterp * $int ) > $o ).
tff(f8508,plain,
$false,
inference(avatar_smt_refutation,[],[f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f611,f616,f621,f648,f657,f666,f672,f681,f690,f699,f709,f734,f748,f755,f766,f775,f827,f832,f847,f852,f858,f884,f899,f923,f930,f935,f940,f951,f968,f975,f1006,f1056,f1074,f1079,f1126,f1137,f1168,f1174,f1212,f1222,f1227,f1236,f1241,f1243,f1245,f1250,f1255,f1256,f1261,f1303,f1309,f1329,f1344,f1377,f1382,f1384,f1408,f1424,f1485,f1494,f1495,f1516,f1517,f1528,f1547,f1561,f1594,f1648,f1653,f1674,f1683,f1685,f1687,f1693,f1700,f1706,f1713,f1722,f1735,f1737,f1743,f1746,f1748,f1759,f1764,f1780,f1785,f1790,f1859,f1869,f1875,f1877,f1903,f1907,f1911,f1915,f1916,f1921,f1925,f1927,f1936,f1941,f1945,f1946,f1950,f1951,f1957,f1973,f2002,f2018,f2021,f2053,f2059,f2065,f2149,f2150,f2155,f2186,f2211,f2213,f2218,f2224,f2226,f2231,f2237,f2241,f2242,f2244,f2247,f2250,f2261,f2262,f2271,f2280,f2281,f2282,f2298,f2301,f2312,f2357,f2359,f2361,f2363,f2506,f2516,f2526,f2536,f2545,f2554,f2569,f2584,f2598,f2617,f2619,f2623,f2640,f2692,f2715,f2744,f2749,f2757,f2786,f2827,f2828,f2850,f2859,f2873,f2884,f2943,f3051,f3052,f3054,f3055,f3115,f3138,f3224,f3240,f3246,f3338,f3465,f3473,f3477,f3490,f3594,f3620,f3718,f3726,f3731,f3736,f3740,f3775,f3814,f3851,f3860,f3871,f3880,f3916,f3921,f3927,f3932,f3937,f3960,f3961,f3966,f3967,f3968,f3969,f3970,f3976,f4051,f4056,f4076,f4077,f4078,f4105,f4140,f4148,f4152,f4161,f4190,f4193,f4210,f4214,f4216,f4253,f4259,f4263,f4268,f4274,f4293,f4305,f4333,f4340,f4363,f4381,f4384,f4420,f4425,f4446,f4448,f4451,f4500,f4502,f4506,f4508,f4528,f4533,f4534,f4539,f4544,f4582,f4584,f4589,f4732,f4738,f4741,f4765,f4772,f4780,f4814,f4821,f4835,f4847,f4854,f4867,f4879,f4883,f4886,f4890,f4918,f4943,f4971,f4987,f4997,f4999,f5005,f5022,f5043,f5087,f5110,f5126,f5134,f5150,f5167,f5214,f5234,f5249,f5310,f5319,f5368,f5379,f5414,f5419,f5425,f5497,f5501,f5511,f5536,f5549,f5559,f5599,f5612,f5642,f5688,f5699,f5721,f5762,f5767,f5771,f5786,f5806,f5807,f5839,f5845,f5846,f5852,f5853,f5856,f5949,f5954,f5961,f6001,f6006,f6042,f6075,f6076,f6144,f6151,f6166,f6172,f6192,f6260,f6300,f6338,f6484,f6520,f6544,f6563,f6581,f6721,f6725,f6734,f6738,f6746,f6764,f6768,f6769,f6823,f7012,f7016,f7017,f7018,f7022,f7026,f7027,f7036,f7037,f7038,f7042,f7046,f7050,f7051,f7057,f7062,f7343,f7361,f7545,f7595,f7600,f7623,f7642,f7646,f7650,f7657,f7662,f7666,f7703,f7816,f7820,f7824,f7828,f7895,f7995,f8000,f8009,f8010,f8212,f8217,f8229,f8234,f8239,f8241,f8248,f8249,f8254,f8255,f8259,f8263,f8272,f8277,f8282,f8287,f8292,f8293,f8296,f8300,f8301,f8305,f8306,f8308,f8309,f8310,f8315,f8319,f8323,f8324,f8329,f8333,f8334,f8337,f8338,f8342,f8347,f8434,f8437,f8505,f8507]) ).
tff(f8507,plain,
( spl36_64
| ~ spl36_18
| ~ spl36_230
| ~ spl36_364 ),
inference(avatar_split_clause,[],[f8506,f8201,f3973,f491,f763]) ).
tff(f763,plain,
( spl36_64
<=> ( sK0 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_64])]) ).
tff(f491,plain,
( spl36_18
<=> ( sF27 = $product(2,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_18])]) ).
tff(f3973,plain,
( spl36_230
<=> ( sK0 = $product(2,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_230])]) ).
tff(f8201,plain,
( spl36_364
<=> ( sK6 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_364])]) ).
tff(f8506,plain,
( ( sK0 = sF27 )
| ~ spl36_18
| ~ spl36_230
| ~ spl36_364 ),
inference(forward_demodulation,[],[f8500,f3975]) ).
tff(f3975,plain,
( ( sK0 = $product(2,sK6) )
| ~ spl36_230 ),
inference(avatar_component_clause,[],[f3973]) ).
tff(f8500,plain,
( ( sF27 = $product(2,sK6) )
| ~ spl36_18
| ~ spl36_364 ),
inference(superposition,[],[f493,f8203]) ).
tff(f8203,plain,
( ( sK6 = sK7 )
| ~ spl36_364 ),
inference(avatar_component_clause,[],[f8201]) ).
tff(f493,plain,
( ( sF27 = $product(2,sK7) )
| ~ spl36_18 ),
inference(avatar_component_clause,[],[f491]) ).
tff(f8505,plain,
( ~ spl36_393
| spl36_122
| ~ spl36_364 ),
inference(avatar_split_clause,[],[f8499,f8201,f1645,f8502]) ).
tff(f8502,plain,
( spl36_393
<=> ( 1 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_393])]) ).
tff(f1645,plain,
( spl36_122
<=> ( 1 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_122])]) ).
tff(f8499,plain,
( ( 1 != sK6 )
| spl36_122
| ~ spl36_364 ),
inference(superposition,[],[f1646,f8203]) ).
tff(f1646,plain,
( ( 1 != sK7 )
| spl36_122 ),
inference(avatar_component_clause,[],[f1645]) ).
tff(f8437,plain,
( spl36_392
| spl36_8
| ~ spl36_156
| ~ spl36_161
| ~ spl36_170 ),
inference(avatar_split_clause,[],[f8436,f2354,f2221,f2152,f441,f8432]) ).
tff(f8432,plain,
( spl36_392
<=> ! [X27: $int,X26: lparray_candidatecm_candidaterp] :
( $less(X27,sK5)
| $less(sK5,num_of(X26,0,-1))
| $less(num_of(X26,0,-1),X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_392])]) ).
tff(f441,plain,
( spl36_8
<=> $less(sK5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_8])]) ).
tff(f2152,plain,
( spl36_156
<=> ( sK6 = num_of(sF23,0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_156])]) ).
tff(f2221,plain,
( spl36_161
<=> $less(0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_161])]) ).
tff(f2354,plain,
( spl36_170
<=> ( sK6 = $sum(0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_170])]) ).
tff(f8436,plain,
( ! [X18: $int,X17: lparray_candidatecm_candidaterp] :
( $less(X18,sK5)
| $less(sK5,num_of(X17,0,-1))
| $less(num_of(X17,0,-1),X18) )
| spl36_8
| ~ spl36_156
| ~ spl36_161
| ~ spl36_170 ),
inference(subsumption_resolution,[],[f8413,f2223]) ).
tff(f2223,plain,
( $less(0,sK6)
| ~ spl36_161 ),
inference(avatar_component_clause,[],[f2221]) ).
tff(f8413,plain,
( ! [X18: $int,X17: lparray_candidatecm_candidaterp] :
( ~ $less(0,sK6)
| $less(sK5,num_of(X17,0,-1))
| $less(num_of(X17,0,-1),X18)
| $less(X18,sK5) )
| spl36_8
| ~ spl36_156
| ~ spl36_170 ),
inference(superposition,[],[f806,f6427]) ).
tff(f6427,plain,
( ! [X26: lparray_candidatecm_candidaterp] : ( num_of(sF23,num_of(X26,0,-1),sK5) = sK6 )
| spl36_8
| ~ spl36_156
| ~ spl36_170 ),
inference(forward_demodulation,[],[f6426,f2356]) ).
tff(f2356,plain,
( ( sK6 = $sum(0,sK6) )
| ~ spl36_170 ),
inference(avatar_component_clause,[],[f2354]) ).
tff(f6426,plain,
( ! [X26: lparray_candidatecm_candidaterp] : ( num_of(sF23,num_of(X26,0,-1),sK5) = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f6399,f1844]) ).
tff(f1844,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X1: $int] : ~ $less(num_of(X3,X1,X2),0),
inference(subsumption_resolution,[],[f1843,f813]) ).
tff(f813,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( ~ $less(num_of(X4,X5,X6),0)
| $less(X6,X5) ),
inference(subsumption_resolution,[],[f810,f86]) ).
tff(f86,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f810,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( $less(X6,X5)
| $less(X5,X5)
| ~ $less(num_of(X4,X5,X6),0) ),
inference(superposition,[],[f325,f789]) ).
tff(f789,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int] : ( 0 = num_of(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f787]) ).
tff(f787,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( 0 = num_of(X0,X1,X1) )
| ( 0 = num_of(X0,X1,X1) ) ),
inference(resolution,[],[f343,f342]) ).
tff(f342,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(sK9(X0,X1,X2),X1)
| ( 0 = num_of(X2,X1,X0) ) ),
inference(cnf_transformation,[],[f248]) ).
tff(f248,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ( $less(sK9(X0,X1,X2),X0)
& ~ $less(sK9(X0,X1,X2),X1)
& pr(X2,sK9(X0,X1,X2)) )
| ( 0 = num_of(X2,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f246,f247]) ).
tff(f247,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X1)
& pr(X2,X3) )
=> ( $less(sK9(X0,X1,X2),X0)
& ~ $less(sK9(X0,X1,X2),X1)
& pr(X2,sK9(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f246,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ? [X3: $int] :
( $less(X3,X0)
& ~ $less(X3,X1)
& pr(X2,X3) )
| ( 0 = num_of(X2,X1,X0) ) ),
inference(rectify,[],[f172]) ).
tff(f172,plain,
! [X1: $int,X2: $int,X0: lparray_candidatecm_candidaterp] :
( ? [X3: $int] :
( $less(X3,X1)
& ~ $less(X3,X2)
& pr(X0,X3) )
| ( 0 = num_of(X0,X2,X1) ) ),
inference(flattening,[],[f171]) ).
tff(f171,plain,
! [X1: $int,X0: lparray_candidatecm_candidaterp,X2: $int] :
( ( 0 = num_of(X0,X2,X1) )
| ? [X3: $int] :
( pr(X0,X3)
& $less(X3,X1)
& ~ $less(X3,X2) ) ),
inference(ennf_transformation,[],[f106]) ).
tff(f106,plain,
! [X1: $int,X0: lparray_candidatecm_candidaterp,X2: $int] :
( ! [X3: $int] :
( ( $less(X3,X1)
& ~ $less(X3,X2) )
=> ~ pr(X0,X3) )
=> ( 0 = num_of(X0,X2,X1) ) ),
inference(rectify,[],[f68]) ).
tff(f68,plain,
! [X18: lparray_candidatecm_candidaterp,X8: $int,X0: $int] :
( ! [X17: $int] :
( ( ~ $less(X17,X0)
& $less(X17,X8) )
=> ~ pr(X18,X17) )
=> ( 0 = num_of(X18,X0,X8) ) ),
inference(theory_normalization,[],[f56]) ).
tff(f56,axiom,
! [X18: lparray_candidatecm_candidaterp,X8: $int,X0: $int] :
( ! [X17: $int] :
( ( $lesseq(X0,X17)
& $less(X17,X8) )
=> ~ pr(X18,X17) )
=> ( 0 = num_of(X18,X0,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty) ).
tff(f343,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(sK9(X0,X1,X2),X0)
| ( 0 = num_of(X2,X1,X0) ) ),
inference(cnf_transformation,[],[f248]) ).
tff(f325,plain,
! [X2: lparray_candidatecm_candidaterp,X3: $int,X0: $int,X1: $int] :
( ~ $less(num_of(X2,X0,X3),num_of(X2,X0,X1))
| $less(X3,X1)
| $less(X1,X0) ),
inference(cnf_transformation,[],[f238]) ).
tff(f238,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp,X3: $int] :
( ~ $less(num_of(X2,X0,X3),num_of(X2,X0,X1))
| $less(X1,X0)
| $less(X3,X1) ),
inference(rectify,[],[f189]) ).
tff(f189,plain,
! [X3: $int,X0: $int,X1: lparray_candidatecm_candidaterp,X2: $int] :
( ~ $less(num_of(X1,X3,X2),num_of(X1,X3,X0))
| $less(X0,X3)
| $less(X2,X0) ),
inference(flattening,[],[f188]) ).
tff(f188,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp,X3: $int,X0: $int] :
( ~ $less(num_of(X1,X3,X2),num_of(X1,X3,X0))
| $less(X2,X0)
| $less(X0,X3) ),
inference(ennf_transformation,[],[f114]) ).
tff(f114,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp,X3: $int,X0: $int] :
( ( ~ $less(X2,X0)
& ~ $less(X0,X3) )
=> ~ $less(num_of(X1,X3,X2),num_of(X1,X3,X0)) ),
inference(rectify,[],[f73]) ).
tff(f73,plain,
! [X15: $int,X18: lparray_candidatecm_candidaterp,X20: $int,X14: $int] :
( ( ~ $less(X15,X14)
& ~ $less(X20,X15) )
=> ~ $less(num_of(X18,X14,X20),num_of(X18,X14,X15)) ),
inference(theory_normalization,[],[f58]) ).
tff(f58,axiom,
! [X15: $int,X18: lparray_candidatecm_candidaterp,X20: $int,X14: $int] :
( ( $lesseq(X14,X15)
& $lesseq(X15,X20) )
=> $lesseq(num_of(X18,X14,X15),num_of(X18,X14,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_increasing) ).
tff(f1843,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(num_of(X3,X1,X2),0)
| ~ $less(X2,X1) ),
inference(subsumption_resolution,[],[f1808,f331]) ).
tff(f331,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(num_of(X0,X1,X2),0)
| ~ $less(X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
tff(f241,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int,X2: $int] :
( ~ $less(X1,X2)
| ( ~ $less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))
& ~ $less(num_of(X0,X1,X2),0) ) ),
inference(rectify,[],[f187]) ).
tff(f187,plain,
! [X1: lparray_candidatecm_candidaterp,X0: $int,X2: $int] :
( ~ $less(X0,X2)
| ( ~ $less($sum(X2,$uminus(X0)),num_of(X1,X0,X2))
& ~ $less(num_of(X1,X0,X2),0) ) ),
inference(ennf_transformation,[],[f111]) ).
tff(f111,plain,
! [X1: lparray_candidatecm_candidaterp,X0: $int,X2: $int] :
( $less(X0,X2)
=> ( ~ $less($sum(X2,$uminus(X0)),num_of(X1,X0,X2))
& ~ $less(num_of(X1,X0,X2),0) ) ),
inference(rectify,[],[f71]) ).
tff(f71,plain,
! [X0: $int,X18: lparray_candidatecm_candidaterp,X8: $int] :
( $less(X0,X8)
=> ( ~ $less(num_of(X18,X0,X8),0)
& ~ $less($sum(X8,$uminus(X0)),num_of(X18,X0,X8)) ) ),
inference(theory_normalization,[],[f52]) ).
tff(f52,axiom,
! [X0: $int,X18: lparray_candidatecm_candidaterp,X8: $int] :
( $less(X0,X8)
=> ( $lesseq(0,num_of(X18,X0,X8))
& $lesseq(num_of(X18,X0,X8),$difference(X8,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_bounds) ).
tff(f1808,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(X2,X1)
| ~ $less(num_of(X3,X1,X2),0)
| $less(X1,X2) ),
inference(superposition,[],[f1586,f282]) ).
tff(f282,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ( 0 = num_of(X2,X0,X1) )
| $less(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ( 0 = num_of(X2,X0,X1) )
| $less(X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(X0,X1)
=> ( 0 = num_of(X2,X0,X1) ) ),
inference(rectify,[],[f74]) ).
tff(f74,plain,
! [X0: $int,X8: $int,X18: lparray_candidatecm_candidaterp] :
( ~ $less(X0,X8)
=> ( 0 = num_of(X18,X0,X8) ) ),
inference(theory_normalization,[],[f49]) ).
tff(f49,axiom,
! [X0: $int,X8: $int,X18: lparray_candidatecm_candidaterp] :
( $lesseq(X8,X0)
=> ( 0 = num_of(X18,X0,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_empty) ).
tff(f1586,plain,
! [X2: lparray_candidatecm_candidaterp,X3: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(num_of(X2,X1,X0),num_of(X3,X1,X0))
| ~ $less(X0,X1) ),
inference(duplicate_literal_removal,[],[f1581]) ).
tff(f1581,plain,
! [X2: lparray_candidatecm_candidaterp,X3: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(num_of(X2,X1,X0),num_of(X3,X1,X0))
| ~ $less(num_of(X2,X1,X0),num_of(X3,X1,X0))
| ~ $less(X0,X1) ),
inference(resolution,[],[f901,f350]) ).
tff(f350,plain,
! [X2: lparray_candidatecm_candidaterp,X3: $int,X0: $int,X1: lparray_candidatecm_candidaterp] :
( ~ $less(sK10(X0,X1,X2,X3),X3)
| ~ $less(num_of(X1,X3,X0),num_of(X2,X3,X0)) ),
inference(cnf_transformation,[],[f252]) ).
tff(f252,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( $less(sK10(X0,X1,X2,X3),X0)
& ~ $less(sK10(X0,X1,X2,X3),X3)
& ~ pr(X1,sK10(X0,X1,X2,X3))
& pr(X2,sK10(X0,X1,X2,X3)) )
| ~ $less(num_of(X1,X3,X0),num_of(X2,X3,X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f250,f251]) ).
tff(f251,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp,X3: $int] :
( ? [X4: $int] :
( $less(X4,X0)
& ~ $less(X4,X3)
& ~ pr(X1,X4)
& pr(X2,X4) )
=> ( $less(sK10(X0,X1,X2,X3),X0)
& ~ $less(sK10(X0,X1,X2,X3),X3)
& ~ pr(X1,sK10(X0,X1,X2,X3))
& pr(X2,sK10(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
tff(f250,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp,X3: $int] :
( ? [X4: $int] :
( $less(X4,X0)
& ~ $less(X4,X3)
& ~ pr(X1,X4)
& pr(X2,X4) )
| ~ $less(num_of(X1,X3,X0),num_of(X2,X3,X0)) ),
inference(rectify,[],[f170]) ).
tff(f170,plain,
! [X3: $int,X0: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp,X1: $int] :
( ? [X4: $int] :
( $less(X4,X3)
& ~ $less(X4,X1)
& ~ pr(X0,X4)
& pr(X2,X4) )
| ~ $less(num_of(X0,X1,X3),num_of(X2,X1,X3)) ),
inference(flattening,[],[f169]) ).
tff(f169,plain,
! [X3: $int,X1: $int,X0: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp] :
( ~ $less(num_of(X0,X1,X3),num_of(X2,X1,X3))
| ? [X4: $int] :
( ~ pr(X0,X4)
& pr(X2,X4)
& $less(X4,X3)
& ~ $less(X4,X1) ) ),
inference(ennf_transformation,[],[f112]) ).
tff(f112,plain,
! [X3: $int,X1: $int,X0: lparray_candidatecm_candidaterp,X2: lparray_candidatecm_candidaterp] :
( ! [X4: $int] :
( ( $less(X4,X3)
& ~ $less(X4,X1) )
=> ( pr(X2,X4)
=> pr(X0,X4) ) )
=> ~ $less(num_of(X0,X1,X3),num_of(X2,X1,X3)) ),
inference(rectify,[],[f72]) ).
tff(f72,plain,
! [X23: lparray_candidatecm_candidaterp,X0: $int,X22: lparray_candidatecm_candidaterp,X8: $int] :
( ! [X15: $int] :
( ( ~ $less(X15,X0)
& $less(X15,X8) )
=> ( pr(X22,X15)
=> pr(X23,X15) ) )
=> ~ $less(num_of(X23,X0,X8),num_of(X22,X0,X8)) ),
inference(theory_normalization,[],[f60]) ).
tff(f60,axiom,
! [X23: lparray_candidatecm_candidaterp,X0: $int,X22: lparray_candidatecm_candidaterp,X8: $int] :
( ! [X15: $int] :
( ( $lesseq(X0,X15)
& $less(X15,X8) )
=> ( pr(X22,X15)
=> pr(X23,X15) ) )
=> $lesseq(num_of(X22,X0,X8),num_of(X23,X0,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_change_any) ).
tff(f901,plain,
! [X3: lparray_candidatecm_candidaterp,X6: lparray_candidatecm_candidaterp,X7: $int,X4: $int,X5: $int] :
( $less(sK10(X5,X3,X6,X4),X7)
| ~ $less(X5,X7)
| ~ $less(num_of(X3,X4,X5),num_of(X6,X4,X5)) ),
inference(resolution,[],[f351,f87]) ).
tff(f87,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f351,plain,
! [X2: lparray_candidatecm_candidaterp,X3: $int,X0: $int,X1: lparray_candidatecm_candidaterp] :
( $less(sK10(X0,X1,X2,X3),X0)
| ~ $less(num_of(X1,X3,X0),num_of(X2,X3,X0)) ),
inference(cnf_transformation,[],[f252]) ).
tff(f6399,plain,
( ! [X26: lparray_candidatecm_candidaterp] :
( ( num_of(sF23,num_of(X26,0,-1),sK5) = $sum(0,sK6) )
| $less(num_of(X26,0,-1),0) )
| spl36_8
| ~ spl36_156 ),
inference(resolution,[],[f6353,f2342]) ).
tff(f2342,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,0)
| ( num_of(sF23,X0,sK5) = $sum(0,sK6) ) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2251,f282]) ).
tff(f2251,plain,
( ! [X1: $int] :
( ( $sum(num_of(sF23,X1,0),sK6) = num_of(sF23,X1,sK5) )
| $less(0,X1) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2192,f443]) ).
tff(f443,plain,
( ~ $less(sK5,0)
| spl36_8 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f2192,plain,
( ! [X1: $int] :
( ( $sum(num_of(sF23,X1,0),sK6) = num_of(sF23,X1,sK5) )
| $less(0,X1)
| $less(sK5,0) )
| ~ spl36_156 ),
inference(superposition,[],[f267,f2154]) ).
tff(f2154,plain,
( ( sK6 = num_of(sF23,0,sK5) )
| ~ spl36_156 ),
inference(avatar_component_clause,[],[f2152]) ).
tff(f267,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ( $sum(num_of(X3,X1,X2),num_of(X3,X2,X0)) = num_of(X3,X1,X0) )
| $less(X2,X1)
| $less(X0,X2) ),
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
! [X0: $int,X1: $int,X2: $int,X3: lparray_candidatecm_candidaterp] :
( $less(X0,X2)
| ( $sum(num_of(X3,X1,X2),num_of(X3,X2,X0)) = num_of(X3,X1,X0) )
| $less(X2,X1) ),
inference(rectify,[],[f186]) ).
tff(f186,plain,
! [X1: $int,X2: $int,X0: $int,X3: lparray_candidatecm_candidaterp] :
( $less(X1,X0)
| ( num_of(X3,X2,X1) = $sum(num_of(X3,X2,X0),num_of(X3,X0,X1)) )
| $less(X0,X2) ),
inference(flattening,[],[f185]) ).
tff(f185,plain,
! [X0: $int,X1: $int,X2: $int,X3: lparray_candidatecm_candidaterp] :
( ( num_of(X3,X2,X1) = $sum(num_of(X3,X2,X0),num_of(X3,X0,X1)) )
| $less(X0,X2)
| $less(X1,X0) ),
inference(ennf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0: $int,X1: $int,X2: $int,X3: lparray_candidatecm_candidaterp] :
( ( ~ $less(X0,X2)
& ~ $less(X1,X0) )
=> ( num_of(X3,X2,X1) = $sum(num_of(X3,X2,X0),num_of(X3,X0,X1)) ) ),
inference(rectify,[],[f70]) ).
tff(f70,plain,
! [X8: $int,X19: $int,X0: $int,X18: lparray_candidatecm_candidaterp] :
( ( ~ $less(X8,X0)
& ~ $less(X19,X8) )
=> ( num_of(X18,X0,X19) = $sum(num_of(X18,X0,X8),num_of(X18,X8,X19)) ) ),
inference(theory_normalization,[],[f53]) ).
tff(f53,axiom,
! [X8: $int,X19: $int,X0: $int,X18: lparray_candidatecm_candidaterp] :
( ( $lesseq(X0,X8)
& $lesseq(X8,X19) )
=> ( num_of(X18,X0,X19) = $sum(num_of(X18,X0,X8),num_of(X18,X8,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_append) ).
tff(f6353,plain,
! [X1: lparray_candidatecm_candidaterp] : ~ $less(0,num_of(X1,0,-1)),
inference(evaluation,[],[f6350]) ).
tff(f6350,plain,
! [X1: lparray_candidatecm_candidaterp] :
( $less(0,-1)
| ~ $less(0,num_of(X1,0,-1)) ),
inference(superposition,[],[f5650,f282]) ).
tff(f5650,plain,
! [X0: lparray_candidatecm_candidaterp,X1: lparray_candidatecm_candidaterp] : ~ $less(num_of(X0,0,-1),num_of(X1,0,-1)),
inference(duplicate_literal_removal,[],[f5643]) ).
tff(f5643,plain,
! [X0: lparray_candidatecm_candidaterp,X1: lparray_candidatecm_candidaterp] :
( ~ $less(num_of(X0,0,-1),num_of(X1,0,-1))
| ~ $less(num_of(X0,0,-1),num_of(X1,0,-1)) ),
inference(resolution,[],[f1580,f350]) ).
tff(f1580,plain,
! [X3: lparray_candidatecm_candidaterp,X6: lparray_candidatecm_candidaterp,X4: $int] :
( $less(sK10(-1,X3,X6,X4),0)
| ~ $less(num_of(X3,X4,-1),num_of(X6,X4,-1)) ),
inference(interpreted_simplification,[],[f1579]) ).
tff(f1579,plain,
! [X3: lparray_candidatecm_candidaterp,X6: lparray_candidatecm_candidaterp,X4: $int] :
( $less(sK10(-1,X3,X6,X4),0)
| ~ $less(-1,0)
| ~ $less(num_of(X3,X4,-1),num_of(X6,X4,-1)) ),
inference(instantiation,[],[f901]) ).
tff(f806,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(0,num_of(X0,X1,X3))
| $less(X3,X1)
| $less(X2,X3)
| $less(X1,X2) ),
inference(superposition,[],[f325,f282]) ).
tff(f8434,plain,
( ~ spl36_105
| spl36_392
| spl36_8
| ~ spl36_11
| ~ spl36_156
| ~ spl36_170 ),
inference(avatar_split_clause,[],[f8420,f2354,f2152,f456,f441,f8432,f1334]) ).
tff(f1334,plain,
( spl36_105
<=> $less(sK0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_105])]) ).
tff(f456,plain,
( spl36_11
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_11])]) ).
tff(f8420,plain,
( ! [X26: lparray_candidatecm_candidaterp,X27: $int] :
( $less(X27,sK5)
| $less(sK5,num_of(X26,0,-1))
| ~ $less(sK0,sK6)
| $less(num_of(X26,0,-1),X27) )
| spl36_8
| ~ spl36_11
| ~ spl36_156
| ~ spl36_170 ),
inference(superposition,[],[f1289,f6427]) ).
tff(f1289,plain,
( ! [X11: $int,X14: lparray_candidatecm_candidaterp,X12: $int,X13: $int] :
( ~ $less(sK0,num_of(X14,X12,X11))
| $less(X13,X11)
| $less(X11,X12)
| $less(X12,X13) )
| ~ spl36_11 ),
inference(resolution,[],[f806,f627]) ).
tff(f627,plain,
( ! [X1: $int] :
( $less(0,X1)
| ~ $less(sK0,X1) )
| ~ spl36_11 ),
inference(resolution,[],[f87,f458]) ).
tff(f458,plain,
( $less(0,sK0)
| ~ spl36_11 ),
inference(avatar_component_clause,[],[f456]) ).
tff(f8347,plain,
( spl36_370
| spl36_391
| spl36_349
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8195,f7054,f7358,f8344,f8226]) ).
tff(f8226,plain,
( spl36_370
<=> $less($sum(sK5,1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_370])]) ).
tff(f8344,plain,
( spl36_391
<=> ( 0 = $sum(sK7,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_391])]) ).
tff(f7358,plain,
( spl36_349
<=> $less(0,$sum(sK5,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_349])]) ).
tff(f7054,plain,
( spl36_347
<=> ( sK7 = num_of(sF23,0,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_347])]) ).
tff(f8195,plain,
( $less(0,$sum(sK5,1))
| ( 0 = $sum(sK7,0) )
| $less($sum(sK5,1),0)
| ~ spl36_347 ),
inference(superposition,[],[f2423,f7056]) ).
tff(f7056,plain,
( ( sK7 = num_of(sF23,0,$sum(sK5,1)) )
| ~ spl36_347 ),
inference(avatar_component_clause,[],[f7054]) ).
tff(f2423,plain,
! [X2: $int,X3: $int,X4: lparray_candidatecm_candidaterp] :
( ( 0 = $sum(num_of(X4,X3,X2),0) )
| $less(X3,X2)
| $less(X2,X3) ),
inference(forward_demodulation,[],[f2421,f789]) ).
tff(f2421,plain,
! [X2: $int,X3: $int,X4: lparray_candidatecm_candidaterp] :
( $less(X3,X2)
| ( $sum(num_of(X4,X3,X2),0) = num_of(X4,X3,X3) )
| $less(X2,X3) ),
inference(factoring,[],[f1089]) ).
tff(f1089,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,X3)
| ( num_of(X0,X3,X2) = $sum(num_of(X0,X3,X1),0) )
| $less(X2,X1)
| $less(X1,X2) ),
inference(superposition,[],[f267,f282]) ).
tff(f8342,plain,
( spl36_390
| ~ spl36_370
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8191,f7054,f8226,f8340]) ).
tff(f8340,plain,
( spl36_390
<=> ! [X11: lparray_candidatecm_candidaterp] : ~ $less(num_of(X11,0,$sum(sK5,1)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_390])]) ).
tff(f8191,plain,
( ! [X11: lparray_candidatecm_candidaterp] :
( ~ $less($sum(sK5,1),0)
| ~ $less(num_of(X11,0,$sum(sK5,1)),sK7) )
| ~ spl36_347 ),
inference(superposition,[],[f1586,f7056]) ).
tff(f8338,plain,
( ~ spl36_349
| ~ spl36_367
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8176,f7054,f8214,f7358]) ).
tff(f8214,plain,
( spl36_367
<=> $less(sK7,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_367])]) ).
tff(f8176,plain,
( ~ $less(sK7,0)
| ~ $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(superposition,[],[f331,f7056]) ).
tff(f8337,plain,
( ~ spl36_373
| spl36_366
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8336,f7054,f2866,f2754,f506,f431,f8209,f8245]) ).
tff(f8245,plain,
( spl36_373
<=> $less(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_373])]) ).
tff(f8209,plain,
( spl36_366
<=> $less($sum(sK5,1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_366])]) ).
tff(f431,plain,
( spl36_6
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_6])]) ).
tff(f506,plain,
( spl36_21
<=> ( num_of(sF23,0,sK0) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_21])]) ).
tff(f2754,plain,
( spl36_189
<=> ( sF24 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_189])]) ).
tff(f2866,plain,
( spl36_197
<=> ( sF24 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_197])]) ).
tff(f8336,plain,
( $less($sum(sK5,1),sK0)
| ~ $less(sK7,sK6)
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8335,f2868]) ).
tff(f2868,plain,
( ( sF24 = sK6 )
| ~ spl36_197 ),
inference(avatar_component_clause,[],[f2866]) ).
tff(f8335,plain,
( ~ $less(sK7,sF24)
| $less($sum(sK5,1),sK0)
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8161,f2756]) ).
tff(f2756,plain,
( ( sF24 = sF29 )
| ~ spl36_189 ),
inference(avatar_component_clause,[],[f2754]) ).
tff(f8161,plain,
( ~ $less(sK7,sF29)
| $less($sum(sK5,1),sK0)
| spl36_6
| ~ spl36_21
| ~ spl36_347 ),
inference(superposition,[],[f1695,f7056]) ).
tff(f1695,plain,
( ! [X2: $int] :
( ~ $less(num_of(sF23,0,X2),sF29)
| $less(X2,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1659,f433]) ).
tff(f433,plain,
( ~ $less(sK0,0)
| spl36_6 ),
inference(avatar_component_clause,[],[f431]) ).
tff(f1659,plain,
( ! [X2: $int] :
( $less(sK0,0)
| ~ $less(num_of(sF23,0,X2),sF29)
| $less(X2,sK0) )
| ~ spl36_21 ),
inference(superposition,[],[f325,f508]) ).
tff(f508,plain,
( ( num_of(sF23,0,sK0) = sF29 )
| ~ spl36_21 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f8334,plain,
( ~ spl36_373
| spl36_366
| spl36_6
| ~ spl36_21
| ~ spl36_190
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8165,f7054,f2779,f506,f431,f8209,f8245]) ).
tff(f2779,plain,
( spl36_190
<=> ( sK6 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_190])]) ).
tff(f8165,plain,
( $less($sum(sK5,1),sK0)
| ~ $less(sK7,sK6)
| spl36_6
| ~ spl36_21
| ~ spl36_190
| ~ spl36_347 ),
inference(superposition,[],[f3945,f7056]) ).
tff(f3945,plain,
( ! [X0: $int] :
( ~ $less(num_of(sF23,0,X0),sK6)
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_190 ),
inference(superposition,[],[f1695,f2781]) ).
tff(f2781,plain,
( ( sK6 = sF29 )
| ~ spl36_190 ),
inference(avatar_component_clause,[],[f2779]) ).
tff(f8333,plain,
( spl36_370
| spl36_389
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8180,f7054,f8331,f8226]) ).
tff(f8331,plain,
( spl36_389
<=> ! [X5: $int] :
( $less(X5,$sum(sK5,1))
| $less(sK7,num_of(sF23,0,X5))
| ( sK7 = num_of(sF23,0,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_389])]) ).
tff(f8180,plain,
( ! [X5: $int] :
( $less(X5,$sum(sK5,1))
| ( sK7 = num_of(sF23,0,X5) )
| $less($sum(sK5,1),0)
| $less(sK7,num_of(sF23,0,X5)) )
| ~ spl36_347 ),
inference(superposition,[],[f805,f7056]) ).
tff(f805,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(num_of(X3,X2,X1),num_of(X3,X2,X0))
| $less(X0,X1)
| $less(X1,X2)
| ( num_of(X3,X2,X1) = num_of(X3,X2,X0) ) ),
inference(resolution,[],[f325,f88]) ).
tff(f88,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f8329,plain,
( spl36_370
| spl36_388
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8187,f7054,f8326,f8226]) ).
tff(f8326,plain,
( spl36_388
<=> ( $sum(sK7,0) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_388])]) ).
tff(f8187,plain,
( ( $sum(sK7,0) = sK7 )
| $less($sum(sK5,1),0)
| ~ spl36_347 ),
inference(superposition,[],[f1094,f7056]) ).
tff(f1094,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( ( $sum(num_of(X4,X6,X5),0) = num_of(X4,X6,X5) )
| $less(X5,X6) ),
inference(subsumption_resolution,[],[f1090,f86]) ).
tff(f1090,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( ( $sum(num_of(X4,X6,X5),0) = num_of(X4,X6,X5) )
| $less(X5,X6)
| $less(X5,X5) ),
inference(superposition,[],[f267,f789]) ).
tff(f8324,plain,
( spl36_349
| ~ spl36_381
| spl36_370
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8183,f7054,f8226,f8284,f7358]) ).
tff(f8284,plain,
( spl36_381
<=> $less(0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_381])]) ).
tff(f8183,plain,
( $less($sum(sK5,1),0)
| ~ $less(0,sK7)
| $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(superposition,[],[f807,f7056]) ).
tff(f807,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( ~ $less(0,num_of(X4,X5,X6))
| $less(X6,X5)
| $less(X5,X6) ),
inference(superposition,[],[f325,f789]) ).
tff(f8323,plain,
( spl36_370
| spl36_387
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8174,f7054,f8321,f8226]) ).
tff(f8321,plain,
( spl36_387
<=> ! [X3: $int] :
( $less(X3,$sum(sK5,1))
| ~ $less(num_of(sF23,0,X3),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_387])]) ).
tff(f8174,plain,
( ! [X3: $int] :
( $less(X3,$sum(sK5,1))
| ~ $less(num_of(sF23,0,X3),sK7)
| $less($sum(sK5,1),0) )
| ~ spl36_347 ),
inference(superposition,[],[f325,f7056]) ).
tff(f8319,plain,
( spl36_386
| spl36_370
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8172,f7054,f8226,f8317]) ).
tff(f8317,plain,
( spl36_386
<=> ! [X2: $int] :
( ( num_of(sF23,X2,$sum(sK5,1)) = $sum(num_of(sF23,X2,0),sK7) )
| $less(0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_386])]) ).
tff(f8172,plain,
( ! [X2: $int] :
( $less($sum(sK5,1),0)
| ( num_of(sF23,X2,$sum(sK5,1)) = $sum(num_of(sF23,X2,0),sK7) )
| $less(0,X2) )
| ~ spl36_347 ),
inference(superposition,[],[f267,f7056]) ).
tff(f8315,plain,
( spl36_385
| spl36_349
| ~ spl36_162
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8197,f7054,f2229,f7358,f8312]) ).
tff(f8312,plain,
( spl36_385
<=> $less(sK7,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_385])]) ).
tff(f2229,plain,
( spl36_162
<=> ! [X4: $int] :
( $less(X4,sK5)
| $less(0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_162])]) ).
tff(f8197,plain,
( $less(0,$sum(sK5,1))
| $less(sK7,sK5)
| ~ spl36_162
| ~ spl36_347 ),
inference(superposition,[],[f5205,f7056]) ).
tff(f5205,plain,
( ! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(num_of(X0,X1,X2),sK5)
| $less(X1,X2) )
| ~ spl36_162 ),
inference(resolution,[],[f2230,f1821]) ).
tff(f1821,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(0,num_of(X3,X1,X2))
| $less(X1,X2) ),
inference(subsumption_resolution,[],[f1797,f807]) ).
tff(f1797,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,X2)
| ~ $less(X2,X1)
| ~ $less(0,num_of(X3,X1,X2)) ),
inference(superposition,[],[f1586,f282]) ).
tff(f2230,plain,
( ! [X4: $int] :
( $less(0,X4)
| $less(X4,sK5) )
| ~ spl36_162 ),
inference(avatar_component_clause,[],[f2229]) ).
tff(f8310,plain,
( spl36_372
| spl36_349
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8159,f7054,f7358,f8236]) ).
tff(f8236,plain,
( spl36_372
<=> ( 0 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_372])]) ).
tff(f8159,plain,
( $less(0,$sum(sK5,1))
| ( 0 = sK7 )
| ~ spl36_347 ),
inference(superposition,[],[f7056,f282]) ).
tff(f8309,plain,
( spl36_349
| ~ spl36_381
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8192,f7054,f8284,f7358]) ).
tff(f8192,plain,
( ~ $less(0,sK7)
| $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(superposition,[],[f1821,f7056]) ).
tff(f8308,plain,
( ~ spl36_373
| spl36_8
| ~ spl36_156
| spl36_338
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8307,f7054,f7009,f2152,f441,f8245]) ).
tff(f7009,plain,
( spl36_338
<=> $less($sum(sK5,1),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_338])]) ).
tff(f8307,plain,
( ~ $less(sK7,sK6)
| spl36_8
| ~ spl36_156
| spl36_338
| ~ spl36_347 ),
inference(subsumption_resolution,[],[f8163,f7011]) ).
tff(f7011,plain,
( ~ $less($sum(sK5,1),sK5)
| spl36_338 ),
inference(avatar_component_clause,[],[f7009]) ).
tff(f8163,plain,
( $less($sum(sK5,1),sK5)
| ~ $less(sK7,sK6)
| spl36_8
| ~ spl36_156
| ~ spl36_347 ),
inference(superposition,[],[f2248,f7056]) ).
tff(f2248,plain,
( ! [X2: $int] :
( ~ $less(num_of(sF23,0,X2),sK6)
| $less(X2,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2194,f443]) ).
tff(f2194,plain,
( ! [X2: $int] :
( $less(sK5,0)
| ~ $less(num_of(sF23,0,X2),sK6)
| $less(X2,sK5) )
| ~ spl36_156 ),
inference(superposition,[],[f325,f2154]) ).
tff(f8306,plain,
( spl36_370
| spl36_371
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8188,f7054,f8231,f8226]) ).
tff(f8231,plain,
( spl36_371
<=> ( $sum(0,sK7) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_371])]) ).
tff(f8188,plain,
( ( $sum(0,sK7) = sK7 )
| $less($sum(sK5,1),0)
| ~ spl36_347 ),
inference(superposition,[],[f1096,f7056]) ).
tff(f1096,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( ( num_of(X4,X5,X6) = $sum(0,num_of(X4,X5,X6)) )
| $less(X6,X5) ),
inference(subsumption_resolution,[],[f1087,f86]) ).
tff(f1087,plain,
! [X6: $int,X4: lparray_candidatecm_candidaterp,X5: $int] :
( $less(X6,X5)
| $less(X5,X5)
| ( num_of(X4,X5,X6) = $sum(0,num_of(X4,X5,X6)) ) ),
inference(superposition,[],[f267,f789]) ).
tff(f8305,plain,
( ~ spl36_367
| spl36_384
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8184,f7054,f8303,f8214]) ).
tff(f8303,plain,
( spl36_384
<=> ! [X8: $int] :
( $less(X8,0)
| $less(0,X8)
| $less($sum(sK5,1),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_384])]) ).
tff(f8184,plain,
( ! [X8: $int] :
( $less(X8,0)
| ~ $less(sK7,0)
| $less($sum(sK5,1),X8)
| $less(0,X8) )
| ~ spl36_347 ),
inference(superposition,[],[f809,f7056]) ).
tff(f809,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(num_of(X0,X1,X3),0)
| $less(X1,X2)
| $less(X3,X2)
| $less(X2,X1) ),
inference(superposition,[],[f325,f282]) ).
tff(f8301,plain,
( spl36_381
| spl36_372
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8178,f7054,f8236,f8284]) ).
tff(f8178,plain,
( ( 0 = sK7 )
| $less(0,sK7)
| ~ spl36_347 ),
inference(superposition,[],[f722,f7056]) ).
tff(f722,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(0,num_of(X2,X0,X1))
| ( 0 = num_of(X2,X0,X1) ) ),
inference(subsumption_resolution,[],[f718,f282]) ).
tff(f718,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(0,num_of(X2,X0,X1))
| ~ $less(X0,X1)
| ( 0 = num_of(X2,X0,X1) ) ),
inference(resolution,[],[f331,f88]) ).
tff(f8300,plain,
( spl36_370
| spl36_383
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8171,f7054,f8298,f8226]) ).
tff(f8298,plain,
( spl36_383
<=> ! [X1: $int] :
( ( $sum(sK7,num_of(sF23,$sum(sK5,1),X1)) = num_of(sF23,0,X1) )
| $less(X1,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_383])]) ).
tff(f8171,plain,
( ! [X1: $int] :
( ( $sum(sK7,num_of(sF23,$sum(sK5,1),X1)) = num_of(sF23,0,X1) )
| $less($sum(sK5,1),0)
| $less(X1,$sum(sK5,1)) )
| ~ spl36_347 ),
inference(superposition,[],[f267,f7056]) ).
tff(f8296,plain,
( spl36_370
| spl36_380
| ~ spl36_365
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8295,f7054,f2866,f2754,f506,f8205,f8279,f8226]) ).
tff(f8279,plain,
( spl36_380
<=> $less(sK0,$sum(sK5,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_380])]) ).
tff(f8205,plain,
( spl36_365
<=> $less(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_365])]) ).
tff(f8295,plain,
( ~ $less(sK6,sK7)
| $less(sK0,$sum(sK5,1))
| $less($sum(sK5,1),0)
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8294,f2868]) ).
tff(f8294,plain,
( $less($sum(sK5,1),0)
| $less(sK0,$sum(sK5,1))
| ~ $less(sF24,sK7)
| ~ spl36_21
| ~ spl36_189
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8160,f2756]) ).
tff(f8160,plain,
( ~ $less(sF29,sK7)
| $less($sum(sK5,1),0)
| $less(sK0,$sum(sK5,1))
| ~ spl36_21
| ~ spl36_347 ),
inference(superposition,[],[f1660,f7056]) ).
tff(f1660,plain,
( ! [X3: $int] :
( ~ $less(sF29,num_of(sF23,0,X3))
| $less(X3,0)
| $less(sK0,X3) )
| ~ spl36_21 ),
inference(superposition,[],[f325,f508]) ).
tff(f8293,plain,
( spl36_370
| ~ spl36_368
| spl36_349
| ~ spl36_11
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8186,f7054,f456,f7358,f8219,f8226]) ).
tff(f8219,plain,
( spl36_368
<=> $less(sK0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_368])]) ).
tff(f8186,plain,
( $less(0,$sum(sK5,1))
| ~ $less(sK0,sK7)
| $less($sum(sK5,1),0)
| ~ spl36_11
| ~ spl36_347 ),
inference(superposition,[],[f994,f7056]) ).
tff(f994,plain,
( ! [X10: $int,X11: $int,X12: lparray_candidatecm_candidaterp] :
( ~ $less(sK0,num_of(X12,X11,X10))
| $less(X10,X11)
| $less(X11,X10) )
| ~ spl36_11 ),
inference(resolution,[],[f807,f627]) ).
tff(f8292,plain,
( spl36_349
| spl36_370
| spl36_382
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8194,f7054,f8289,f8226,f7358]) ).
tff(f8289,plain,
( spl36_382
<=> ( 0 = $sum(0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_382])]) ).
tff(f8194,plain,
( ( 0 = $sum(0,sK7) )
| $less($sum(sK5,1),0)
| $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(superposition,[],[f2134,f7056]) ).
tff(f2134,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ( 0 = $sum(0,num_of(X2,X1,X0)) )
| $less(X0,X1)
| $less(X1,X0) ),
inference(forward_demodulation,[],[f2124,f789]) ).
tff(f2124,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ( num_of(X2,X0,X0) = $sum(0,num_of(X2,X1,X0)) )
| $less(X0,X1)
| $less(X1,X0) ),
inference(factoring,[],[f1086]) ).
tff(f1086,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X3,X2)
| $less(X1,X2)
| $less(X2,X1)
| ( $sum(0,num_of(X0,X2,X3)) = num_of(X0,X1,X3) ) ),
inference(superposition,[],[f267,f282]) ).
tff(f8287,plain,
( spl36_370
| ~ spl36_381
| spl36_369
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8182,f7054,f8223,f8284,f8226]) ).
tff(f8223,plain,
( spl36_369
<=> ! [X9: $int] :
( $less(X9,$sum(sK5,1))
| $less(0,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_369])]) ).
tff(f8182,plain,
( ! [X7: $int] :
( $less(0,X7)
| $less(X7,$sum(sK5,1))
| ~ $less(0,sK7)
| $less($sum(sK5,1),0) )
| ~ spl36_347 ),
inference(superposition,[],[f806,f7056]) ).
tff(f8282,plain,
( spl36_373
| spl36_364
| spl36_370
| spl36_380
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8167,f7054,f2866,f2754,f506,f8279,f8226,f8201,f8245]) ).
tff(f8167,plain,
( $less(sK0,$sum(sK5,1))
| $less($sum(sK5,1),0)
| ( sK6 = sK7 )
| $less(sK7,sK6)
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(superposition,[],[f7550,f7056]) ).
tff(f7550,plain,
( ! [X0: $int] :
( $less(num_of(sF23,0,X0),sK6)
| $less(X0,0)
| ( sK6 = num_of(sF23,0,X0) )
| $less(sK0,X0) )
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f7549,f2868]) ).
tff(f7549,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(num_of(sF23,0,X0),sF24)
| ( sK6 = num_of(sF23,0,X0) )
| $less(sK0,X0) )
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f7548,f2868]) ).
tff(f7548,plain,
( ! [X0: $int] :
( ( sF24 = num_of(sF23,0,X0) )
| $less(X0,0)
| $less(num_of(sF23,0,X0),sF24)
| $less(sK0,X0) )
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f7547,f2756]) ).
tff(f7547,plain,
( ! [X0: $int] :
( $less(X0,0)
| ( num_of(sF23,0,X0) = sF29 )
| $less(sK0,X0)
| $less(num_of(sF23,0,X0),sF24) )
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f1725,f2756]) ).
tff(f1725,plain,
( ! [X0: $int] :
( $less(num_of(sF23,0,X0),sF29)
| $less(sK0,X0)
| $less(X0,0)
| ( num_of(sF23,0,X0) = sF29 ) )
| ~ spl36_21 ),
inference(resolution,[],[f1660,f88]) ).
tff(f8277,plain,
( ~ spl36_349
| ~ spl36_379
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8198,f7054,f8274,f7358]) ).
tff(f8274,plain,
( spl36_379
<=> $less($sum(1,sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_379])]) ).
tff(f8198,plain,
( ~ $less($sum(1,sK5),sK7)
| ~ $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(evaluation,[],[f8177]) ).
tff(f8177,plain,
( ~ $less(0,$sum(sK5,1))
| ~ $less($sum($sum(sK5,1),$uminus(0)),sK7)
| ~ spl36_347 ),
inference(superposition,[],[f332,f7056]) ).
tff(f332,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))
| ~ $less(X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
tff(f8272,plain,
( spl36_377
| ~ spl36_349
| spl36_378
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8199,f7054,f8269,f7358,f8265]) ).
tff(f8265,plain,
( spl36_377
<=> $less(sK7,$sum(1,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_377])]) ).
tff(f8269,plain,
( spl36_378
<=> ( $sum(1,sK5) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_378])]) ).
tff(f8199,plain,
( ( $sum(1,sK5) = sK7 )
| ~ $less(0,$sum(sK5,1))
| $less(sK7,$sum(1,sK5))
| ~ spl36_347 ),
inference(evaluation,[],[f8179]) ).
tff(f8179,plain,
( $less(sK7,$sum($sum(sK5,1),$uminus(0)))
| ~ $less(0,$sum(sK5,1))
| ( $sum($sum(sK5,1),$uminus(0)) = sK7 )
| ~ spl36_347 ),
inference(superposition,[],[f779,f7056]) ).
tff(f779,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(num_of(X2,X0,X1),$sum(X1,$uminus(X0)))
| ~ $less(X0,X1)
| ( $sum(X1,$uminus(X0)) = num_of(X2,X0,X1) ) ),
inference(resolution,[],[f332,f88]) ).
tff(f8263,plain,
( spl36_370
| ~ spl36_365
| spl36_376
| ~ spl36_36
| ~ spl36_197
| ~ spl36_304
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8168,f7054,f5783,f2866,f582,f8261,f8205,f8226]) ).
tff(f8261,plain,
( spl36_376
<=> ! [X0: $int] :
( $less(sK0,X0)
| ( sK0 = X0 )
| $less(X0,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_376])]) ).
tff(f582,plain,
( spl36_36
<=> ( sF24 = num_of(sF23,0,sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_36])]) ).
tff(f5783,plain,
( spl36_304
<=> ( sF14 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_304])]) ).
tff(f8168,plain,
( ! [X0: $int] :
( $less(sK0,X0)
| ~ $less(sK6,sK7)
| $less(X0,$sum(sK5,1))
| ( sK0 = X0 )
| $less($sum(sK5,1),0) )
| ~ spl36_36
| ~ spl36_197
| ~ spl36_304
| ~ spl36_347 ),
inference(superposition,[],[f7899,f7056]) ).
tff(f7899,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(sK6,num_of(sF23,0,X1))
| $less(X1,0)
| $less(sK0,X2)
| ( sK0 = X2 )
| $less(X2,X1) )
| ~ spl36_36
| ~ spl36_197
| ~ spl36_304 ),
inference(forward_demodulation,[],[f7898,f2868]) ).
tff(f7898,plain,
( ! [X2: $int,X1: $int] :
( ~ $less(sF24,num_of(sF23,0,X1))
| ( sK0 = X2 )
| $less(sK0,X2)
| $less(X2,X1)
| $less(X1,0) )
| ~ spl36_36
| ~ spl36_304 ),
inference(forward_demodulation,[],[f7897,f5785]) ).
tff(f5785,plain,
( ( sF14 = sK0 )
| ~ spl36_304 ),
inference(avatar_component_clause,[],[f5783]) ).
tff(f7897,plain,
( ! [X2: $int,X1: $int] :
( ( sF14 = X2 )
| ~ $less(sF24,num_of(sF23,0,X1))
| $less(X1,0)
| $less(sK0,X2)
| $less(X2,X1) )
| ~ spl36_36
| ~ spl36_304 ),
inference(forward_demodulation,[],[f1968,f5785]) ).
tff(f1968,plain,
( ! [X2: $int,X1: $int] :
( $less(X1,0)
| $less(sF14,X2)
| $less(X2,X1)
| ( sF14 = X2 )
| ~ $less(sF24,num_of(sF23,0,X1)) )
| ~ spl36_36 ),
inference(resolution,[],[f1886,f629]) ).
tff(f629,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ $less(X1,X3)
| ( X1 = X2 )
| $less(X2,X3)
| $less(X1,X2) ),
inference(resolution,[],[f88,f87]) ).
tff(f1886,plain,
( ! [X3: $int] :
( $less(sF14,X3)
| $less(X3,0)
| ~ $less(sF24,num_of(sF23,0,X3)) )
| ~ spl36_36 ),
inference(superposition,[],[f325,f584]) ).
tff(f584,plain,
( ( sF24 = num_of(sF23,0,sF14) )
| ~ spl36_36 ),
inference(avatar_component_clause,[],[f582]) ).
tff(f8259,plain,
( ~ spl36_370
| spl36_375
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8190,f7054,f8257,f8226]) ).
tff(f8257,plain,
( spl36_375
<=> ! [X10: lparray_candidatecm_candidaterp] : ~ $less(sK7,num_of(X10,0,$sum(sK5,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_375])]) ).
tff(f8190,plain,
( ! [X10: lparray_candidatecm_candidaterp] :
( ~ $less(sK7,num_of(X10,0,$sum(sK5,1)))
| ~ $less($sum(sK5,1),0) )
| ~ spl36_347 ),
inference(superposition,[],[f1586,f7056]) ).
tff(f8255,plain,
( ~ spl36_367
| spl36_370
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8185,f7054,f8226,f8214]) ).
tff(f8185,plain,
( $less($sum(sK5,1),0)
| ~ $less(sK7,0)
| ~ spl36_347 ),
inference(superposition,[],[f813,f7056]) ).
tff(f8254,plain,
( spl36_374
| spl36_349
| ~ spl36_126
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8196,f7054,f1681,f7358,f8251]) ).
tff(f8251,plain,
( spl36_374
<=> $less(sK7,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_374])]) ).
tff(f1681,plain,
( spl36_126
<=> ! [X4: $int] :
( $less(0,X4)
| $less(X4,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_126])]) ).
tff(f8196,plain,
( $less(0,$sum(sK5,1))
| $less(sK7,sK0)
| ~ spl36_126
| ~ spl36_347 ),
inference(superposition,[],[f5170,f7056]) ).
tff(f5170,plain,
( ! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(num_of(X0,X1,X2),sK0)
| $less(X1,X2) )
| ~ spl36_126 ),
inference(resolution,[],[f1682,f1821]) ).
tff(f1682,plain,
( ! [X4: $int] :
( $less(0,X4)
| $less(X4,sK0) )
| ~ spl36_126 ),
inference(avatar_component_clause,[],[f1681]) ).
tff(f8249,plain,
( ~ spl36_367
| spl36_370
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8170,f7054,f8226,f8214]) ).
tff(f8170,plain,
( $less($sum(sK5,1),0)
| ~ $less(sK7,0)
| ~ spl36_347 ),
inference(superposition,[],[f812,f7056]) ).
tff(f812,plain,
! [X8: $int,X7: lparray_candidatecm_candidaterp] :
( ~ $less(num_of(X7,0,X8),0)
| $less(X8,0) ),
inference(evaluation,[],[f811]) ).
tff(f811,plain,
! [X8: $int,X7: lparray_candidatecm_candidaterp] :
( $less(0,0)
| $less(X8,0)
| ~ $less(num_of(X7,0,X8),0) ),
inference(superposition,[],[f325,f715]) ).
tff(f715,plain,
! [X2: lparray_candidatecm_candidaterp] : ( 0 = num_of(X2,0,0) ),
inference(interpreted_simplification,[],[f714]) ).
tff(f714,plain,
! [X2: lparray_candidatecm_candidaterp] :
( ( 0 = num_of(X2,0,0) )
| $less(0,0) ),
inference(instantiation,[],[f282]) ).
tff(f8248,plain,
( ~ spl36_373
| spl36_366
| ~ spl36_148
| ~ spl36_197
| ~ spl36_304
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8243,f7054,f5783,f2866,f1943,f8209,f8245]) ).
tff(f1943,plain,
( spl36_148
<=> ! [X2: $int] :
( $less(X2,sF14)
| ~ $less(num_of(sF23,0,X2),sF24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_148])]) ).
tff(f8243,plain,
( $less($sum(sK5,1),sK0)
| ~ $less(sK7,sK6)
| ~ spl36_148
| ~ spl36_197
| ~ spl36_304
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8242,f5785]) ).
tff(f8242,plain,
( $less($sum(sK5,1),sF14)
| ~ $less(sK7,sK6)
| ~ spl36_148
| ~ spl36_197
| ~ spl36_347 ),
inference(forward_demodulation,[],[f8162,f2868]) ).
tff(f8162,plain,
( ~ $less(sK7,sF24)
| $less($sum(sK5,1),sF14)
| ~ spl36_148
| ~ spl36_347 ),
inference(superposition,[],[f1944,f7056]) ).
tff(f1944,plain,
( ! [X2: $int] :
( ~ $less(num_of(sF23,0,X2),sF24)
| $less(X2,sF14) )
| ~ spl36_148 ),
inference(avatar_component_clause,[],[f1943]) ).
tff(f8241,plain,
( spl36_364
| spl36_365
| spl36_8
| ~ spl36_156
| spl36_338
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8240,f7054,f7009,f2152,f441,f8205,f8201]) ).
tff(f8240,plain,
( $less(sK6,sK7)
| ( sK6 = sK7 )
| spl36_8
| ~ spl36_156
| spl36_338
| ~ spl36_347 ),
inference(subsumption_resolution,[],[f8164,f7011]) ).
tff(f8164,plain,
( $less(sK6,sK7)
| $less($sum(sK5,1),sK5)
| ( sK6 = sK7 )
| spl36_8
| ~ spl36_156
| ~ spl36_347 ),
inference(superposition,[],[f2253,f7056]) ).
tff(f2253,plain,
( ! [X3: $int] :
( $less(sK6,num_of(sF23,0,X3))
| ( num_of(sF23,0,X3) = sK6 )
| $less(X3,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(resolution,[],[f2248,f88]) ).
tff(f8239,plain,
( spl36_349
| spl36_372
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8173,f7054,f8236,f7358]) ).
tff(f8173,plain,
( ( 0 = sK7 )
| $less(0,$sum(sK5,1))
| ~ spl36_347 ),
inference(superposition,[],[f282,f7056]) ).
tff(f8234,plain,
( spl36_370
| spl36_371
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8169,f7054,f8231,f8226]) ).
tff(f8169,plain,
( ( $sum(0,sK7) = sK7 )
| $less($sum(sK5,1),0)
| ~ spl36_347 ),
inference(superposition,[],[f1093,f7056]) ).
tff(f1093,plain,
! [X8: $int,X7: lparray_candidatecm_candidaterp] :
( ( $sum(0,num_of(X7,0,X8)) = num_of(X7,0,X8) )
| $less(X8,0) ),
inference(evaluation,[],[f1088]) ).
tff(f1088,plain,
! [X8: $int,X7: lparray_candidatecm_candidaterp] :
( $less(X8,0)
| ( $sum(0,num_of(X7,0,X8)) = num_of(X7,0,X8) )
| $less(0,0) ),
inference(superposition,[],[f267,f715]) ).
tff(f8229,plain,
( ~ spl36_368
| spl36_369
| spl36_370
| ~ spl36_11
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8189,f7054,f456,f8226,f8223,f8219]) ).
tff(f8189,plain,
( ! [X9: $int] :
( $less($sum(sK5,1),0)
| $less(X9,$sum(sK5,1))
| $less(0,X9)
| ~ $less(sK0,sK7) )
| ~ spl36_11
| ~ spl36_347 ),
inference(superposition,[],[f1289,f7056]) ).
tff(f8217,plain,
( ~ spl36_367
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8193,f7054,f8214]) ).
tff(f8193,plain,
( ~ $less(sK7,0)
| ~ spl36_347 ),
inference(superposition,[],[f1844,f7056]) ).
tff(f8212,plain,
( spl36_364
| spl36_365
| spl36_366
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(avatar_split_clause,[],[f8166,f7054,f2866,f2754,f506,f431,f8209,f8205,f8201]) ).
tff(f8166,plain,
( $less($sum(sK5,1),sK0)
| $less(sK6,sK7)
| ( sK6 = sK7 )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| ~ spl36_347 ),
inference(superposition,[],[f4750,f7056]) ).
tff(f4750,plain,
( ! [X0: $int] :
( $less(sK6,num_of(sF23,0,X0))
| ( sK6 = num_of(sF23,0,X0) )
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4749,f2868]) ).
tff(f4749,plain,
( ! [X0: $int] :
( $less(sK6,num_of(sF23,0,X0))
| ( sF24 = num_of(sF23,0,X0) )
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4748,f2868]) ).
tff(f4748,plain,
( ! [X0: $int] :
( $less(X0,sK0)
| $less(sF24,num_of(sF23,0,X0))
| ( sF24 = num_of(sF23,0,X0) ) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4747,f2756]) ).
tff(f4747,plain,
( ! [X0: $int] :
( ( num_of(sF23,0,X0) = sF29 )
| $less(X0,sK0)
| $less(sF24,num_of(sF23,0,X0)) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f1707,f2756]) ).
tff(f1707,plain,
( ! [X0: $int] :
( $less(X0,sK0)
| $less(sF29,num_of(sF23,0,X0))
| ( num_of(sF23,0,X0) = sF29 ) )
| spl36_6
| ~ spl36_21 ),
inference(resolution,[],[f1695,f88]) ).
tff(f8010,plain,
( spl36_102
| spl36_349
| ~ spl36_166
| ~ spl36_346 ),
inference(avatar_split_clause,[],[f8002,f7048,f2268,f7358,f1301]) ).
tff(f1301,plain,
( spl36_102
<=> ! [X5: lparray_candidatecm_candidaterp] : ~ pr(X5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_102])]) ).
tff(f2268,plain,
( spl36_166
<=> $less(1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_166])]) ).
tff(f7048,plain,
( spl36_346
<=> ! [X6: $int] :
( $less(sK5,X6)
| $less(X6,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_346])]) ).
tff(f8002,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( $less(0,$sum(sK5,1))
| ~ pr(X0,0) )
| ~ spl36_166
| ~ spl36_346 ),
inference(resolution,[],[f7986,f1176]) ).
tff(f1176,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp] :
( ~ $less(num_of(X1,0,1),X2)
| ~ pr(X1,0)
| $less(0,X2) ),
inference(resolution,[],[f1113,f87]) ).
tff(f1113,plain,
! [X3: lparray_candidatecm_candidaterp] :
( $less(0,num_of(X3,0,1))
| ~ pr(X3,0) ),
inference(forward_demodulation,[],[f1106,f715]) ).
tff(f1106,plain,
! [X3: lparray_candidatecm_candidaterp] :
( $less(num_of(X3,0,0),num_of(X3,0,1))
| ~ pr(X3,0) ),
inference(interpreted_simplification,[],[f1105]) ).
tff(f1105,plain,
! [X3: lparray_candidatecm_candidaterp] :
( ~ pr(X3,0)
| $less(0,0)
| ~ $less(0,1)
| $less(num_of(X3,0,0),num_of(X3,0,1))
| $less(0,0) ),
inference(instantiation,[],[f315]) ).
tff(f315,plain,
! [X2: $int,X3: lparray_candidatecm_candidaterp,X0: $int,X1: $int,X4: $int] :
( ~ pr(X3,X1)
| $less(X0,X4)
| ~ $less(X1,X2)
| $less(num_of(X3,X4,X0),num_of(X3,X4,X2))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f230]) ).
tff(f230,plain,
! [X0: $int,X1: $int,X2: $int,X3: lparray_candidatecm_candidaterp,X4: $int] :
( $less(X1,X0)
| $less(num_of(X3,X4,X0),num_of(X3,X4,X2))
| ~ pr(X3,X1)
| ~ $less(X1,X2)
| $less(X0,X4) ),
inference(rectify,[],[f195]) ).
tff(f195,plain,
! [X1: $int,X0: $int,X4: $int,X2: lparray_candidatecm_candidaterp,X3: $int] :
( $less(X0,X1)
| $less(num_of(X2,X3,X1),num_of(X2,X3,X4))
| ~ pr(X2,X0)
| ~ $less(X0,X4)
| $less(X1,X3) ),
inference(flattening,[],[f194]) ).
tff(f194,plain,
! [X0: $int,X1: $int,X4: $int,X2: lparray_candidatecm_candidaterp,X3: $int] :
( $less(num_of(X2,X3,X1),num_of(X2,X3,X4))
| ~ pr(X2,X0)
| $less(X1,X3)
| $less(X0,X1)
| ~ $less(X0,X4) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $int,X1: $int,X4: $int,X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( ~ $less(X1,X3)
& ~ $less(X0,X1)
& $less(X0,X4) )
=> ( pr(X2,X0)
=> $less(num_of(X2,X3,X1),num_of(X2,X3,X4)) ) ),
inference(rectify,[],[f80]) ).
tff(f80,plain,
! [X20: $int,X15: $int,X18: lparray_candidatecm_candidaterp,X14: $int,X21: $int] :
( ( ~ $less(X20,X15)
& $less(X20,X21)
& ~ $less(X15,X14) )
=> ( pr(X18,X20)
=> $less(num_of(X18,X14,X15),num_of(X18,X14,X21)) ) ),
inference(theory_normalization,[],[f59]) ).
tff(f59,axiom,
! [X20: $int,X15: $int,X18: lparray_candidatecm_candidaterp,X14: $int,X21: $int] :
( ( $lesseq(X15,X20)
& $less(X20,X21)
& $lesseq(X14,X15) )
=> ( pr(X18,X20)
=> $less(num_of(X18,X14,X15),num_of(X18,X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_strictly_increasing) ).
tff(f7986,plain,
( ! [X1: lparray_candidatecm_candidaterp] : $less(num_of(X1,0,1),$sum(sK5,1))
| ~ spl36_166
| ~ spl36_346 ),
inference(resolution,[],[f7049,f3874]) ).
tff(f3874,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sK5,num_of(X0,0,1))
| ~ spl36_166 ),
inference(resolution,[],[f3822,f782]) ).
tff(f782,plain,
! [X0: lparray_candidatecm_candidaterp] : ~ $less(1,num_of(X0,0,1)),
inference(evaluation,[],[f778]) ).
tff(f778,plain,
! [X0: lparray_candidatecm_candidaterp] : ~ $less($sum(1,$uminus(0)),num_of(X0,0,1)),
inference(interpreted_simplification,[],[f777]) ).
tff(f777,plain,
! [X0: lparray_candidatecm_candidaterp] :
( ~ $less($sum(1,$uminus(0)),num_of(X0,0,1))
| ~ $less(0,1) ),
inference(instantiation,[],[f332]) ).
tff(f3822,plain,
( ! [X5: $int] :
( $less(1,X5)
| ~ $less(sK5,X5) )
| ~ spl36_166 ),
inference(resolution,[],[f2270,f87]) ).
tff(f2270,plain,
( $less(1,sK5)
| ~ spl36_166 ),
inference(avatar_component_clause,[],[f2268]) ).
tff(f7049,plain,
( ! [X6: $int] :
( $less(sK5,X6)
| $less(X6,$sum(sK5,1)) )
| ~ spl36_346 ),
inference(avatar_component_clause,[],[f7048]) ).
tff(f8009,plain,
( spl36_103
| spl36_363
| ~ spl36_166
| ~ spl36_346 ),
inference(avatar_split_clause,[],[f8007,f7048,f2268,f7997,f1307]) ).
tff(f1307,plain,
( spl36_103
<=> ! [X9: lparray_candidatecm_candidaterp] : ( 0 = num_of(X9,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_103])]) ).
tff(f7997,plain,
( spl36_363
<=> $less(1,$sum(sK5,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_363])]) ).
tff(f8007,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( $less(1,$sum(sK5,1))
| ( 0 = num_of(X0,0,1) ) )
| ~ spl36_166
| ~ spl36_346 ),
inference(superposition,[],[f7986,f1081]) ).
tff(f1081,plain,
! [X0: lparray_candidatecm_candidaterp] :
( ( 1 = num_of(X0,0,1) )
| ( 0 = num_of(X0,0,1) ) ),
inference(resolution,[],[f1045,f980]) ).
tff(f980,plain,
! [X0: lparray_candidatecm_candidaterp] :
( pr(X0,0)
| ( 0 = num_of(X0,0,1) ) ),
inference(forward_demodulation,[],[f979,f789]) ).
tff(f979,plain,
! [X0: lparray_candidatecm_candidaterp] :
( ( num_of(X0,0,1) = num_of(X0,1,1) )
| pr(X0,0) ),
inference(evaluation,[],[f977]) ).
tff(f977,plain,
! [X0: lparray_candidatecm_candidaterp] :
( pr(X0,0)
| ( num_of(X0,0,1) = num_of(X0,$sum(0,1),1) ) ),
inference(interpreted_simplification,[],[f976]) ).
tff(f976,plain,
! [X0: lparray_candidatecm_candidaterp] :
( pr(X0,0)
| ( num_of(X0,0,1) = num_of(X0,$sum(0,1),1) )
| ~ $less(0,1) ),
inference(instantiation,[],[f273]) ).
tff(f273,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( pr(X0,X1)
| ( num_of(X0,$sum(X1,1),X2) = num_of(X0,X1,X2) )
| ~ $less(X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int,X2: $int] :
( ( num_of(X0,$sum(X1,1),X2) = num_of(X0,X1,X2) )
| pr(X0,X1)
| ~ $less(X1,X2) ),
inference(flattening,[],[f166]) ).
tff(f166,plain,
! [X1: $int,X0: lparray_candidatecm_candidaterp,X2: $int] :
( ( num_of(X0,$sum(X1,1),X2) = num_of(X0,X1,X2) )
| pr(X0,X1)
| ~ $less(X1,X2) ),
inference(ennf_transformation,[],[f151]) ).
tff(f151,plain,
! [X1: $int,X0: lparray_candidatecm_candidaterp,X2: $int] :
( $less(X1,X2)
=> ( ~ pr(X0,X1)
=> ( num_of(X0,$sum(X1,1),X2) = num_of(X0,X1,X2) ) ) ),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X18: lparray_candidatecm_candidaterp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( ~ pr(X18,X0)
=> ( num_of(X18,X0,X8) = num_of(X18,$sum(X0,1),X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_left_no_add) ).
tff(f1045,plain,
! [X1: lparray_candidatecm_candidaterp] :
( ~ pr(X1,0)
| ( 1 = num_of(X1,0,1) ) ),
inference(evaluation,[],[f1044]) ).
tff(f1044,plain,
! [X1: lparray_candidatecm_candidaterp] :
( ~ pr(X1,0)
| ( num_of(X1,0,1) = $sum(1,0) ) ),
inference(forward_demodulation,[],[f1041,f789]) ).
tff(f1041,plain,
! [X1: lparray_candidatecm_candidaterp] :
( ( num_of(X1,0,1) = $sum(1,num_of(X1,1,1)) )
| ~ pr(X1,0) ),
inference(evaluation,[],[f1038]) ).
tff(f1038,plain,
! [X1: lparray_candidatecm_candidaterp] :
( ~ pr(X1,0)
| ( $sum(1,num_of(X1,$sum(0,1),1)) = num_of(X1,0,1) ) ),
inference(interpreted_simplification,[],[f1037]) ).
tff(f1037,plain,
! [X1: lparray_candidatecm_candidaterp] :
( ( $sum(1,num_of(X1,$sum(0,1),1)) = num_of(X1,0,1) )
| ~ $less(0,1)
| ~ pr(X1,0) ),
inference(instantiation,[],[f352]) ).
tff(f352,plain,
! [X2: $int,X0: $int,X1: lparray_candidatecm_candidaterp] :
( ( num_of(X1,X0,X2) = $sum(1,num_of(X1,$sum(X0,1),X2)) )
| ~ $less(X0,X2)
| ~ pr(X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tff(f253,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp,X2: $int] :
( ( num_of(X1,X0,X2) = $sum(1,num_of(X1,$sum(X0,1),X2)) )
| ~ $less(X0,X2)
| ~ pr(X1,X0) ),
inference(rectify,[],[f193]) ).
tff(f193,plain,
! [X1: $int,X0: lparray_candidatecm_candidaterp,X2: $int] :
( ( num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) )
| ~ $less(X1,X2)
| ~ pr(X0,X1) ),
inference(flattening,[],[f192]) ).
tff(f192,plain,
! [X1: $int,X2: $int,X0: lparray_candidatecm_candidaterp] :
( ( num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) )
| ~ pr(X0,X1)
| ~ $less(X1,X2) ),
inference(ennf_transformation,[],[f105]) ).
tff(f105,plain,
! [X1: $int,X2: $int,X0: lparray_candidatecm_candidaterp] :
( $less(X1,X2)
=> ( pr(X0,X1)
=> ( num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) ) ) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X18: lparray_candidatecm_candidaterp,X0: $int,X8: $int] :
( $less(X0,X8)
=> ( pr(X18,X0)
=> ( num_of(X18,X0,X8) = $sum(1,num_of(X18,$sum(X0,1),X8)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_left_add) ).
tff(f8000,plain,
( spl36_363
| spl36_77
| ~ spl36_346 ),
inference(avatar_split_clause,[],[f7987,f7048,f932,f7997]) ).
tff(f932,plain,
( spl36_77
<=> $less(sK5,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_77])]) ).
tff(f7987,plain,
( $less(1,$sum(sK5,1))
| spl36_77
| ~ spl36_346 ),
inference(resolution,[],[f7049,f933]) ).
tff(f933,plain,
( ~ $less(sK5,1)
| spl36_77 ),
inference(avatar_component_clause,[],[f932]) ).
tff(f7995,plain,
( spl36_349
| spl36_8
| ~ spl36_346 ),
inference(avatar_split_clause,[],[f7985,f7048,f441,f7358]) ).
tff(f7985,plain,
( $less(0,$sum(sK5,1))
| spl36_8
| ~ spl36_346 ),
inference(resolution,[],[f7049,f443]) ).
tff(f7895,plain,
( spl36_337
| ~ spl36_287
| ~ spl36_342 ),
inference(avatar_split_clause,[],[f7894,f7029,f5490,f7006]) ).
tff(f7006,plain,
( spl36_337
<=> ! [X9: lparray_candidatecm_candidaterp] : ~ $less(1,num_of(X9,sK5,$sum(sK5,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_337])]) ).
tff(f5490,plain,
( spl36_287
<=> $less(sK5,$sum(sK5,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_287])]) ).
tff(f7029,plain,
( spl36_342
<=> ( 1 = $sum($sum(sK5,1),$uminus(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_342])]) ).
tff(f7894,plain,
( ! [X1: lparray_candidatecm_candidaterp] : ~ $less(1,num_of(X1,sK5,$sum(sK5,1)))
| ~ spl36_287
| ~ spl36_342 ),
inference(subsumption_resolution,[],[f7893,f5491]) ).
tff(f5491,plain,
( $less(sK5,$sum(sK5,1))
| ~ spl36_287 ),
inference(avatar_component_clause,[],[f5490]) ).
tff(f7893,plain,
( ! [X1: lparray_candidatecm_candidaterp] :
( ~ $less(1,num_of(X1,sK5,$sum(sK5,1)))
| ~ $less(sK5,$sum(sK5,1)) )
| ~ spl36_342 ),
inference(superposition,[],[f332,f7031]) ).
tff(f7031,plain,
( ( 1 = $sum($sum(sK5,1),$uminus(sK5)) )
| ~ spl36_342 ),
inference(avatar_component_clause,[],[f7029]) ).
tff(f7828,plain,
( spl36_362
| ~ spl36_23
| ~ spl36_33
| ~ spl36_56
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f7827,f2866,f696,f567,f516,f7822]) ).
tff(f7822,plain,
( spl36_362
<=> ! [X2: lparray_candidatecm_candidaterp] :
( ( num_of(X2,sK3,sK6) = sF25 )
| $less(num_of(X2,sK3,sK6),sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_362])]) ).
tff(f516,plain,
( spl36_23
<=> ( $uminus(sK3) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_23])]) ).
tff(f567,plain,
( spl36_33
<=> ( $sum(sF24,sF15) = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_33])]) ).
tff(f696,plain,
( spl36_56
<=> $less(sK3,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_56])]) ).
tff(f7827,plain,
( ! [X4: lparray_candidatecm_candidaterp] :
( $less(num_of(X4,sK3,sK6),sF25)
| ( sF25 = num_of(X4,sK3,sK6) ) )
| ~ spl36_23
| ~ spl36_33
| ~ spl36_56
| ~ spl36_197 ),
inference(forward_demodulation,[],[f7826,f2868]) ).
tff(f7826,plain,
( ! [X4: lparray_candidatecm_candidaterp] :
( ( sF25 = num_of(X4,sK3,sK6) )
| $less(num_of(X4,sK3,sF24),sF25) )
| ~ spl36_23
| ~ spl36_33
| ~ spl36_56
| ~ spl36_197 ),
inference(forward_demodulation,[],[f7825,f2868]) ).
tff(f7825,plain,
( ! [X4: lparray_candidatecm_candidaterp] :
( ( num_of(X4,sK3,sF24) = sF25 )
| $less(num_of(X4,sK3,sF24),sF25) )
| ~ spl36_23
| ~ spl36_33
| ~ spl36_56 ),
inference(subsumption_resolution,[],[f7812,f698]) ).
tff(f698,plain,
( $less(sK3,sF24)
| ~ spl36_56 ),
inference(avatar_component_clause,[],[f696]) ).
tff(f7812,plain,
( ! [X4: lparray_candidatecm_candidaterp] :
( ( num_of(X4,sK3,sF24) = sF25 )
| ~ $less(sK3,sF24)
| $less(num_of(X4,sK3,sF24),sF25) )
| ~ spl36_23
| ~ spl36_33 ),
inference(superposition,[],[f2492,f569]) ).
tff(f569,plain,
( ( $sum(sF24,sF15) = sF25 )
| ~ spl36_33 ),
inference(avatar_component_clause,[],[f567]) ).
tff(f2492,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(num_of(X0,sK3,X1),$sum(X1,sF15))
| ( num_of(X0,sK3,X1) = $sum(X1,sF15) )
| ~ $less(sK3,X1) )
| ~ spl36_23 ),
inference(superposition,[],[f779,f518]) ).
tff(f518,plain,
( ( $uminus(sK3) = sF15 )
| ~ spl36_23 ),
inference(avatar_component_clause,[],[f516]) ).
tff(f7824,plain,
( spl36_362
| ~ spl36_259
| ~ spl36_23
| ~ spl36_262 ),
inference(avatar_split_clause,[],[f7810,f4541,f516,f4525,f7822]) ).
tff(f4525,plain,
( spl36_259
<=> $less(sK3,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_259])]) ).
tff(f4541,plain,
( spl36_262
<=> ( $sum(sK6,sF15) = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_262])]) ).
tff(f7810,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ~ $less(sK3,sK6)
| ( num_of(X2,sK3,sK6) = sF25 )
| $less(num_of(X2,sK3,sK6),sF25) )
| ~ spl36_23
| ~ spl36_262 ),
inference(superposition,[],[f2492,f4543]) ).
tff(f4543,plain,
( ( $sum(sK6,sF15) = sF25 )
| ~ spl36_262 ),
inference(avatar_component_clause,[],[f4541]) ).
tff(f7820,plain,
( ~ spl36_308
| spl36_361
| ~ spl36_14
| ~ spl36_23
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f7819,f5783,f516,f471,f7814,f5942]) ).
tff(f5942,plain,
( spl36_308
<=> $less(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_308])]) ).
tff(f7814,plain,
( spl36_361
<=> ! [X0: lparray_candidatecm_candidaterp] :
( $less(num_of(X0,sK3,sK0),sF16)
| ( num_of(X0,sK3,sK0) = sF16 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_361])]) ).
tff(f471,plain,
( spl36_14
<=> ( $sum(sF14,sF15) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_14])]) ).
tff(f7819,plain,
( ! [X3: lparray_candidatecm_candidaterp] :
( $less(num_of(X3,sK3,sK0),sF16)
| ~ $less(sK3,sK0)
| ( num_of(X3,sK3,sK0) = sF16 ) )
| ~ spl36_14
| ~ spl36_23
| ~ spl36_304 ),
inference(forward_demodulation,[],[f7818,f5785]) ).
tff(f7818,plain,
( ! [X3: lparray_candidatecm_candidaterp] :
( ~ $less(sK3,sK0)
| $less(num_of(X3,sK3,sK0),sF16)
| ( sF16 = num_of(X3,sK3,sF14) ) )
| ~ spl36_14
| ~ spl36_23
| ~ spl36_304 ),
inference(forward_demodulation,[],[f7817,f5785]) ).
tff(f7817,plain,
( ! [X3: lparray_candidatecm_candidaterp] :
( $less(num_of(X3,sK3,sF14),sF16)
| ~ $less(sK3,sK0)
| ( sF16 = num_of(X3,sK3,sF14) ) )
| ~ spl36_14
| ~ spl36_23
| ~ spl36_304 ),
inference(forward_demodulation,[],[f7811,f5785]) ).
tff(f7811,plain,
( ! [X3: lparray_candidatecm_candidaterp] :
( ~ $less(sK3,sF14)
| $less(num_of(X3,sK3,sF14),sF16)
| ( sF16 = num_of(X3,sK3,sF14) ) )
| ~ spl36_14
| ~ spl36_23 ),
inference(superposition,[],[f2492,f473]) ).
tff(f473,plain,
( ( $sum(sF14,sF15) = sF16 )
| ~ spl36_14 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f7816,plain,
( ~ spl36_308
| spl36_361
| ~ spl36_23
| ~ spl36_307 ),
inference(avatar_split_clause,[],[f7808,f5849,f516,f7814,f5942]) ).
tff(f5849,plain,
( spl36_307
<=> ( $sum(sK0,sF15) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_307])]) ).
tff(f7808,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( $less(num_of(X0,sK3,sK0),sF16)
| ~ $less(sK3,sK0)
| ( num_of(X0,sK3,sK0) = sF16 ) )
| ~ spl36_23
| ~ spl36_307 ),
inference(superposition,[],[f2492,f5851]) ).
tff(f5851,plain,
( ( $sum(sK0,sF15) = sF16 )
| ~ spl36_307 ),
inference(avatar_component_clause,[],[f5849]) ).
tff(f7703,plain,
( ~ spl36_287
| ~ spl36_338 ),
inference(avatar_contradiction_clause,[],[f7702]) ).
tff(f7702,plain,
( $false
| ~ spl36_287
| ~ spl36_338 ),
inference(subsumption_resolution,[],[f7697,f86]) ).
tff(f7697,plain,
( $less(sK5,sK5)
| ~ spl36_287
| ~ spl36_338 ),
inference(resolution,[],[f7010,f7356]) ).
tff(f7356,plain,
( ! [X5: $int] :
( ~ $less($sum(sK5,1),X5)
| $less(sK5,X5) )
| ~ spl36_287 ),
inference(resolution,[],[f5491,f87]) ).
tff(f7010,plain,
( $less($sum(sK5,1),sK5)
| ~ spl36_338 ),
inference(avatar_component_clause,[],[f7009]) ).
tff(f7666,plain,
( spl36_360
| spl36_354
| spl36_6
| spl36_326 ),
inference(avatar_split_clause,[],[f7626,f6560,f431,f7635,f7664]) ).
tff(f7664,plain,
( spl36_360
<=> ! [X2: lparray_candidatecm_candidaterp] : ( num_of(X2,0,-2) = $sum(num_of(X2,0,sK0),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_360])]) ).
tff(f7635,plain,
( spl36_354
<=> $less(-2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_354])]) ).
tff(f6560,plain,
( spl36_326
<=> $less(sK0,-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_326])]) ).
tff(f7626,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( $less(-2,sK0)
| ( num_of(X2,0,-2) = $sum(num_of(X2,0,sK0),0) ) )
| spl36_6
| spl36_326 ),
inference(resolution,[],[f6562,f2393]) ).
tff(f2393,plain,
( ! [X114: lparray_candidatecm_candidaterp,X115: $int] :
( $less(sK0,X115)
| ( $sum(num_of(X114,0,sK0),0) = num_of(X114,0,X115) )
| $less(X115,sK0) )
| spl36_6 ),
inference(resolution,[],[f1089,f433]) ).
tff(f6562,plain,
( ~ $less(sK0,-2)
| spl36_326 ),
inference(avatar_component_clause,[],[f6560]) ).
tff(f7662,plain,
( spl36_355
| spl36_359
| ~ spl36_3
| spl36_326 ),
inference(avatar_split_clause,[],[f7627,f6560,f416,f7659,f7639]) ).
tff(f7639,plain,
( spl36_355
<=> ( sK0 = -2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_355])]) ).
tff(f7659,plain,
( spl36_359
<=> $less(-2,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_359])]) ).
tff(f416,plain,
( spl36_3
<=> $less(sK0,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_3])]) ).
tff(f7627,plain,
( $less(-2,sF27)
| ( sK0 = -2 )
| ~ spl36_3
| spl36_326 ),
inference(resolution,[],[f6562,f1437]) ).
tff(f1437,plain,
( ! [X26: $int] :
( $less(sK0,X26)
| ( sK0 = X26 )
| $less(X26,sF27) )
| ~ spl36_3 ),
inference(resolution,[],[f629,f418]) ).
tff(f418,plain,
( $less(sK0,sF27)
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f416]) ).
tff(f7657,plain,
( spl36_358
| spl36_354
| spl36_6
| ~ spl36_21
| ~ spl36_169
| ~ spl36_189
| ~ spl36_197
| spl36_326 ),
inference(avatar_split_clause,[],[f7652,f6560,f2866,f2754,f2309,f506,f431,f7635,f7654]) ).
tff(f7654,plain,
( spl36_358
<=> ( num_of(sF23,0,-2) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_358])]) ).
tff(f2309,plain,
( spl36_169
<=> ( sK6 = $sum(sK6,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_169])]) ).
tff(f7652,plain,
( $less(-2,sK0)
| ( num_of(sF23,0,-2) = sK6 )
| spl36_6
| ~ spl36_21
| ~ spl36_169
| ~ spl36_189
| ~ spl36_197
| spl36_326 ),
inference(forward_demodulation,[],[f7651,f2311]) ).
tff(f2311,plain,
( ( sK6 = $sum(sK6,0) )
| ~ spl36_169 ),
inference(avatar_component_clause,[],[f2309]) ).
tff(f7651,plain,
( $less(-2,sK0)
| ( num_of(sF23,0,-2) = $sum(sK6,0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197
| spl36_326 ),
inference(forward_demodulation,[],[f7628,f2868]) ).
tff(f7628,plain,
( ( num_of(sF23,0,-2) = $sum(sF24,0) )
| $less(-2,sK0)
| spl36_6
| ~ spl36_21
| ~ spl36_189
| spl36_326 ),
inference(resolution,[],[f6562,f4106]) ).
tff(f4106,plain,
( ! [X0: $int] :
( $less(sK0,X0)
| $less(X0,sK0)
| ( $sum(sF24,0) = num_of(sF23,0,X0) ) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f1861,f2756]) ).
tff(f1861,plain,
( ! [X0: $int] :
( $less(sK0,X0)
| ( $sum(sF29,0) = num_of(sF23,0,X0) )
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(superposition,[],[f1694,f282]) ).
tff(f1694,plain,
( ! [X0: $int] :
( ( $sum(sF29,num_of(sF23,sK0,X0)) = num_of(sF23,0,X0) )
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1656,f433]) ).
tff(f1656,plain,
( ! [X0: $int] :
( $less(X0,sK0)
| ( $sum(sF29,num_of(sF23,sK0,X0)) = num_of(sF23,0,X0) )
| $less(sK0,0) )
| ~ spl36_21 ),
inference(superposition,[],[f267,f508]) ).
tff(f7650,plain,
( spl36_357
| spl36_354
| spl36_25
| spl36_326 ),
inference(avatar_split_clause,[],[f7624,f6560,f526,f7635,f7648]) ).
tff(f7648,plain,
( spl36_357
<=> ! [X0: lparray_candidatecm_candidaterp] : ( $sum(num_of(X0,sF20,sK0),0) = num_of(X0,sF20,-2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_357])]) ).
tff(f526,plain,
( spl36_25
<=> $less(sK0,sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_25])]) ).
tff(f7624,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( $less(-2,sK0)
| ( $sum(num_of(X0,sF20,sK0),0) = num_of(X0,sF20,-2) ) )
| spl36_25
| spl36_326 ),
inference(resolution,[],[f6562,f2395]) ).
tff(f2395,plain,
( ! [X118: lparray_candidatecm_candidaterp,X119: $int] :
( $less(sK0,X119)
| $less(X119,sK0)
| ( num_of(X118,sF20,X119) = $sum(num_of(X118,sF20,sK0),0) ) )
| spl36_25 ),
inference(resolution,[],[f1089,f528]) ).
tff(f528,plain,
( ~ $less(sK0,sF20)
| spl36_25 ),
inference(avatar_component_clause,[],[f526]) ).
tff(f7646,plain,
( spl36_354
| spl36_356
| spl36_38
| spl36_326 ),
inference(avatar_split_clause,[],[f7625,f6560,f592,f7644,f7635]) ).
tff(f7644,plain,
( spl36_356
<=> ! [X1: lparray_candidatecm_candidaterp] : ( num_of(X1,1,-2) = $sum(num_of(X1,1,sK0),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_356])]) ).
tff(f592,plain,
( spl36_38
<=> $less(sK0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_38])]) ).
tff(f7625,plain,
( ! [X1: lparray_candidatecm_candidaterp] :
( ( num_of(X1,1,-2) = $sum(num_of(X1,1,sK0),0) )
| $less(-2,sK0) )
| spl36_38
| spl36_326 ),
inference(resolution,[],[f6562,f2394]) ).
tff(f2394,plain,
( ! [X116: lparray_candidatecm_candidaterp,X117: $int] :
( $less(sK0,X117)
| $less(X117,sK0)
| ( $sum(num_of(X116,1,sK0),0) = num_of(X116,1,X117) ) )
| spl36_38 ),
inference(resolution,[],[f1089,f594]) ).
tff(f594,plain,
( ~ $less(sK0,1)
| spl36_38 ),
inference(avatar_component_clause,[],[f592]) ).
tff(f7642,plain,
( spl36_354
| spl36_355
| spl36_326 ),
inference(avatar_split_clause,[],[f7633,f6560,f7639,f7635]) ).
tff(f7633,plain,
( ( sK0 = -2 )
| $less(-2,sK0)
| spl36_326 ),
inference(resolution,[],[f6562,f88]) ).
tff(f7623,plain,
( spl36_335
| spl36_334
| ~ spl36_21
| spl36_38
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f7622,f2866,f2754,f592,f506,f6757,f6761]) ).
tff(f6761,plain,
( spl36_335
<=> ( num_of(sF23,0,1) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_335])]) ).
tff(f6757,plain,
( spl36_334
<=> $less(num_of(sF23,0,1),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_334])]) ).
tff(f7622,plain,
( $less(num_of(sF23,0,1),sK6)
| ( num_of(sF23,0,1) = sK6 )
| ~ spl36_21
| spl36_38
| ~ spl36_189
| ~ spl36_197 ),
inference(subsumption_resolution,[],[f7602,f594]) ).
tff(f7602,plain,
( ( num_of(sF23,0,1) = sK6 )
| $less(sK0,1)
| $less(num_of(sF23,0,1),sK6)
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(interpreted_simplification,[],[f7601]) ).
tff(f7601,plain,
( $less(num_of(sF23,0,1),sK6)
| $less(1,0)
| ( num_of(sF23,0,1) = sK6 )
| $less(sK0,1)
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(instantiation,[],[f7550]) ).
tff(f7600,plain,
( ~ spl36_353
| ~ spl36_338
| ~ spl36_287 ),
inference(avatar_split_clause,[],[f7560,f5490,f7009,f7597]) ).
tff(f7597,plain,
( spl36_353
<=> $less($sum(sK5,$uminus($sum(sK5,1))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_353])]) ).
tff(f7560,plain,
( ~ $less($sum(sK5,1),sK5)
| ~ $less($sum(sK5,$uminus($sum(sK5,1))),0)
| ~ spl36_287 ),
inference(superposition,[],[f332,f7355]) ).
tff(f7355,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,$sum(sK5,1),sK5) )
| ~ spl36_287 ),
inference(resolution,[],[f5491,f1283]) ).
tff(f1283,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ( 0 = num_of(X2,X1,X0) ) ),
inference(duplicate_literal_removal,[],[f1280]) ).
tff(f1280,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ( 0 = num_of(X2,X1,X0) )
| ( 0 = num_of(X2,X1,X0) ) ),
inference(resolution,[],[f788,f342]) ).
tff(f788,plain,
! [X2: lparray_candidatecm_candidaterp,X3: $int,X4: $int,X5: $int] :
( $less(sK9(X4,X3,X2),X5)
| ~ $less(X4,X5)
| ( 0 = num_of(X2,X3,X4) ) ),
inference(resolution,[],[f343,f87]) ).
tff(f7595,plain,
( spl36_351
| spl36_352
| ~ spl36_338
| ~ spl36_287 ),
inference(avatar_split_clause,[],[f7562,f5490,f7009,f7592,f7588]) ).
tff(f7588,plain,
( spl36_351
<=> $less(0,$sum(sK5,$uminus($sum(sK5,1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_351])]) ).
tff(f7592,plain,
( spl36_352
<=> ( 0 = $sum(sK5,$uminus($sum(sK5,1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_352])]) ).
tff(f7562,plain,
( ~ $less($sum(sK5,1),sK5)
| ( 0 = $sum(sK5,$uminus($sum(sK5,1))) )
| $less(0,$sum(sK5,$uminus($sum(sK5,1))))
| ~ spl36_287 ),
inference(superposition,[],[f779,f7355]) ).
tff(f7545,plain,
( spl36_278
| spl36_350
| spl36_77
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f7531,f2152,f932,f7543,f5246]) ).
tff(f5246,plain,
( spl36_278
<=> ( 1 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_278])]) ).
tff(f7543,plain,
( spl36_350
<=> ! [X5: $int] :
( $less(1,X5)
| $less(X5,0)
| ~ $less(sK6,num_of(sF23,0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_350])]) ).
tff(f7531,plain,
( ! [X5: $int] :
( $less(1,X5)
| ~ $less(sK6,num_of(sF23,0,X5))
| $less(X5,0)
| ( 1 = sK5 ) )
| spl36_77
| ~ spl36_156 ),
inference(resolution,[],[f2293,f933]) ).
tff(f2293,plain,
( ! [X0: $int,X1: $int] :
( $less(sK5,X1)
| $less(X0,0)
| ~ $less(sK6,num_of(sF23,0,X0))
| ( sK5 = X1 )
| $less(X1,X0) )
| ~ spl36_156 ),
inference(resolution,[],[f2195,f629]) ).
tff(f2195,plain,
( ! [X3: $int] :
( $less(sK5,X3)
| $less(X3,0)
| ~ $less(sK6,num_of(sF23,0,X3)) )
| ~ spl36_156 ),
inference(superposition,[],[f325,f2154]) ).
tff(f7361,plain,
( spl36_349
| ~ spl36_44
| ~ spl36_287 ),
inference(avatar_split_clause,[],[f7352,f5490,f641,f7358]) ).
tff(f641,plain,
( spl36_44
<=> $less(0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_44])]) ).
tff(f7352,plain,
( $less(0,$sum(sK5,1))
| ~ spl36_44
| ~ spl36_287 ),
inference(resolution,[],[f5491,f2288]) ).
tff(f2288,plain,
( ! [X2: $int] :
( ~ $less(sK5,X2)
| $less(0,X2) )
| ~ spl36_44 ),
inference(resolution,[],[f643,f87]) ).
tff(f643,plain,
( $less(0,sK5)
| ~ spl36_44 ),
inference(avatar_component_clause,[],[f641]) ).
tff(f7343,plain,
( spl36_334
| spl36_335
| spl36_77
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f7341,f2152,f932,f6761,f6757]) ).
tff(f7341,plain,
( ( num_of(sF23,0,1) = sK6 )
| $less(num_of(sF23,0,1),sK6)
| spl36_77
| ~ spl36_156 ),
inference(evaluation,[],[f7333]) ).
tff(f7333,plain,
( $less(1,0)
| ( num_of(sF23,0,1) = sK6 )
| $less(num_of(sF23,0,1),sK6)
| spl36_77
| ~ spl36_156 ),
inference(resolution,[],[f2932,f933]) ).
tff(f2932,plain,
( ! [X37: $int] :
( $less(sK5,X37)
| $less(num_of(sF23,0,X37),sK6)
| $less(X37,0)
| ( num_of(sF23,0,X37) = sK6 ) )
| ~ spl36_156 ),
inference(superposition,[],[f805,f2154]) ).
tff(f7062,plain,
( ~ spl36_348
| ~ spl36_287
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6978,f5494,f5490,f7059]) ).
tff(f7059,plain,
( spl36_348
<=> $less($sum($sum(sK5,1),$uminus(sK5)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_348])]) ).
tff(f5494,plain,
( spl36_288
<=> ( 1 = num_of(sF23,sK5,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_288])]) ).
tff(f6978,plain,
( ~ $less(sK5,$sum(sK5,1))
| ~ $less($sum($sum(sK5,1),$uminus(sK5)),1)
| ~ spl36_288 ),
inference(superposition,[],[f332,f5496]) ).
tff(f5496,plain,
( ( 1 = num_of(sF23,sK5,$sum(sK5,1)) )
| ~ spl36_288 ),
inference(avatar_component_clause,[],[f5494]) ).
tff(f7057,plain,
( spl36_338
| spl36_347
| spl36_8
| ~ spl36_93
| ~ spl36_156
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7052,f5494,f2152,f1171,f441,f7054,f7009]) ).
tff(f1171,plain,
( spl36_93
<=> ( $sum(sK6,1) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_93])]) ).
tff(f7052,plain,
( ( sK7 = num_of(sF23,0,$sum(sK5,1)) )
| $less($sum(sK5,1),sK5)
| spl36_8
| ~ spl36_93
| ~ spl36_156
| ~ spl36_288 ),
inference(forward_demodulation,[],[f6971,f1173]) ).
tff(f1173,plain,
( ( $sum(sK6,1) = sK7 )
| ~ spl36_93 ),
inference(avatar_component_clause,[],[f1171]) ).
tff(f6971,plain,
( $less($sum(sK5,1),sK5)
| ( $sum(sK6,1) = num_of(sF23,0,$sum(sK5,1)) )
| spl36_8
| ~ spl36_156
| ~ spl36_288 ),
inference(superposition,[],[f2245,f5496]) ).
tff(f2245,plain,
( ! [X0: $int] :
( ( $sum(sK6,num_of(sF23,sK5,X0)) = num_of(sF23,0,X0) )
| $less(X0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2191,f443]) ).
tff(f2191,plain,
( ! [X0: $int] :
( $less(sK5,0)
| $less(X0,sK5)
| ( $sum(sK6,num_of(sF23,sK5,X0)) = num_of(sF23,0,X0) ) )
| ~ spl36_156 ),
inference(superposition,[],[f267,f2154]) ).
tff(f7051,plain,
( spl36_287
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6998,f5494,f5490]) ).
tff(f6998,plain,
( $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(evaluation,[],[f6993]) ).
tff(f6993,plain,
( $less(sK5,$sum(sK5,1))
| ~ $less(0,1)
| ~ spl36_288 ),
inference(superposition,[],[f1821,f5496]) ).
tff(f7050,plain,
( spl36_338
| spl36_346
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6999,f5494,f7048,f7009]) ).
tff(f6999,plain,
( ! [X6: $int] :
( $less(sK5,X6)
| $less(X6,$sum(sK5,1))
| $less($sum(sK5,1),sK5) )
| ~ spl36_288 ),
inference(evaluation,[],[f6983]) ).
tff(f6983,plain,
( ! [X6: $int] :
( ~ $less(0,1)
| $less($sum(sK5,1),sK5)
| $less(sK5,X6)
| $less(X6,$sum(sK5,1)) )
| ~ spl36_288 ),
inference(superposition,[],[f806,f5496]) ).
tff(f7046,plain,
( spl36_338
| spl36_345
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6973,f5494,f7044,f7009]) ).
tff(f7044,plain,
( spl36_345
<=> ! [X1: $int] :
( $less(sK5,X1)
| ( $sum(num_of(sF23,X1,sK5),1) = num_of(sF23,X1,$sum(sK5,1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_345])]) ).
tff(f6973,plain,
( ! [X1: $int] :
( $less(sK5,X1)
| ( $sum(num_of(sF23,X1,sK5),1) = num_of(sF23,X1,$sum(sK5,1)) )
| $less($sum(sK5,1),sK5) )
| ~ spl36_288 ),
inference(superposition,[],[f267,f5496]) ).
tff(f7042,plain,
( spl36_338
| spl36_344
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6981,f5494,f7040,f7009]) ).
tff(f7040,plain,
( spl36_344
<=> ! [X4: $int] :
( ( 1 = num_of(sF23,sK5,X4) )
| $less(X4,$sum(sK5,1))
| $less(1,num_of(sF23,sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_344])]) ).
tff(f6981,plain,
( ! [X4: $int] :
( ( 1 = num_of(sF23,sK5,X4) )
| $less($sum(sK5,1),sK5)
| $less(1,num_of(sF23,sK5,X4))
| $less(X4,$sum(sK5,1)) )
| ~ spl36_288 ),
inference(superposition,[],[f805,f5496]) ).
tff(f7038,plain,
( spl36_287
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7000,f5494,f5490]) ).
tff(f7000,plain,
( $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(evaluation,[],[f6970]) ).
tff(f6970,plain,
( $less(sK5,$sum(sK5,1))
| ( 0 = 1 )
| ~ spl36_288 ),
inference(superposition,[],[f5496,f282]) ).
tff(f7037,plain,
( spl36_287
| spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7001,f5494,f7009,f5490]) ).
tff(f7001,plain,
( $less($sum(sK5,1),sK5)
| $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(evaluation,[],[f6996]) ).
tff(f6996,plain,
( $less($sum(sK5,1),sK5)
| ( 0 = $sum(1,0) )
| $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(superposition,[],[f2423,f5496]) ).
tff(f7036,plain,
( ~ spl36_287
| spl36_342
| spl36_343
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6980,f5494,f7033,f7029,f5490]) ).
tff(f7033,plain,
( spl36_343
<=> $less(1,$sum($sum(sK5,1),$uminus(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_343])]) ).
tff(f6980,plain,
( $less(1,$sum($sum(sK5,1),$uminus(sK5)))
| ( 1 = $sum($sum(sK5,1),$uminus(sK5)) )
| ~ $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(superposition,[],[f779,f5496]) ).
tff(f7027,plain,
( spl36_287
| spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7002,f5494,f7009,f5490]) ).
tff(f7002,plain,
( $less($sum(sK5,1),sK5)
| $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(evaluation,[],[f6995]) ).
tff(f6995,plain,
( $less($sum(sK5,1),sK5)
| ( 0 = $sum(0,1) )
| $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(superposition,[],[f2134,f5496]) ).
tff(f7026,plain,
( spl36_341
| spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6975,f5494,f7009,f7024]) ).
tff(f7024,plain,
( spl36_341
<=> ! [X2: $int] :
( $less(X2,$sum(sK5,1))
| ~ $less(num_of(sF23,sK5,X2),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_341])]) ).
tff(f6975,plain,
( ! [X2: $int] :
( $less($sum(sK5,1),sK5)
| $less(X2,$sum(sK5,1))
| ~ $less(num_of(sF23,sK5,X2),1) )
| ~ spl36_288 ),
inference(superposition,[],[f325,f5496]) ).
tff(f7022,plain,
( spl36_340
| ~ spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6992,f5494,f7009,f7020]) ).
tff(f7020,plain,
( spl36_340
<=> ! [X10: lparray_candidatecm_candidaterp] : ~ $less(num_of(X10,sK5,$sum(sK5,1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_340])]) ).
tff(f6992,plain,
( ! [X10: lparray_candidatecm_candidaterp] :
( ~ $less($sum(sK5,1),sK5)
| ~ $less(num_of(X10,sK5,$sum(sK5,1)),1) )
| ~ spl36_288 ),
inference(superposition,[],[f1586,f5496]) ).
tff(f7018,plain,
( spl36_287
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7003,f5494,f5490]) ).
tff(f7003,plain,
( $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(evaluation,[],[f6974]) ).
tff(f6974,plain,
( ( 0 = 1 )
| $less(sK5,$sum(sK5,1))
| ~ spl36_288 ),
inference(superposition,[],[f282,f5496]) ).
tff(f7017,plain,
( spl36_338
| spl36_287
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f7004,f5494,f5490,f7009]) ).
tff(f7004,plain,
( $less(sK5,$sum(sK5,1))
| $less($sum(sK5,1),sK5)
| ~ spl36_288 ),
inference(evaluation,[],[f6984]) ).
tff(f6984,plain,
( $less($sum(sK5,1),sK5)
| $less(sK5,$sum(sK5,1))
| ~ $less(0,1)
| ~ spl36_288 ),
inference(superposition,[],[f807,f5496]) ).
tff(f7016,plain,
( spl36_339
| spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6972,f5494,f7009,f7014]) ).
tff(f7014,plain,
( spl36_339
<=> ! [X0: $int] :
( $less(X0,$sum(sK5,1))
| ( num_of(sF23,sK5,X0) = $sum(1,num_of(sF23,$sum(sK5,1),X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_339])]) ).
tff(f6972,plain,
( ! [X0: $int] :
( $less($sum(sK5,1),sK5)
| $less(X0,$sum(sK5,1))
| ( num_of(sF23,sK5,X0) = $sum(1,num_of(sF23,$sum(sK5,1),X0)) ) )
| ~ spl36_288 ),
inference(superposition,[],[f267,f5496]) ).
tff(f7012,plain,
( spl36_337
| ~ spl36_338
| ~ spl36_288 ),
inference(avatar_split_clause,[],[f6991,f5494,f7009,f7006]) ).
tff(f6991,plain,
( ! [X9: lparray_candidatecm_candidaterp] :
( ~ $less($sum(sK5,1),sK5)
| ~ $less(1,num_of(X9,sK5,$sum(sK5,1))) )
| ~ spl36_288 ),
inference(superposition,[],[f1586,f5496]) ).
tff(f6823,plain,
( spl36_102
| ~ spl36_103 ),
inference(avatar_split_clause,[],[f6819,f1307,f1301]) ).
tff(f6819,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ~ pr(X4,0)
| ~ spl36_103 ),
inference(evaluation,[],[f6775]) ).
tff(f6775,plain,
( ! [X4: lparray_candidatecm_candidaterp] :
( ~ pr(X4,0)
| $less(0,0) )
| ~ spl36_103 ),
inference(superposition,[],[f1113,f1308]) ).
tff(f1308,plain,
( ! [X9: lparray_candidatecm_candidaterp] : ( 0 = num_of(X9,0,1) )
| ~ spl36_103 ),
inference(avatar_component_clause,[],[f1307]) ).
tff(f6769,plain,
( spl36_333
| ~ spl36_249
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5854,f5783,f4299,f6744]) ).
tff(f6744,plain,
( spl36_333
<=> ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sF16,num_of(X0,sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_333])]) ).
tff(f4299,plain,
( spl36_249
<=> ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sF16,num_of(X0,sK3,sF14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_249])]) ).
tff(f5854,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sF16,num_of(X0,sK3,sK0))
| ~ spl36_249
| ~ spl36_304 ),
inference(forward_demodulation,[],[f4300,f5785]) ).
tff(f4300,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sF16,num_of(X0,sK3,sF14))
| ~ spl36_249 ),
inference(avatar_component_clause,[],[f4299]) ).
tff(f6768,plain,
( spl36_334
| spl36_336
| spl36_10
| ~ spl36_197
| spl36_223 ),
inference(avatar_split_clause,[],[f6749,f3868,f2866,f451,f6766,f6757]) ).
tff(f6766,plain,
( spl36_336
<=> ! [X0: lparray_candidatecm_candidaterp] : ( $sum(num_of(X0,sK3,sK6),0) = num_of(X0,sK3,num_of(sF23,0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_336])]) ).
tff(f451,plain,
( spl36_10
<=> $less(sF24,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_10])]) ).
tff(f3868,plain,
( spl36_223
<=> $less(sK6,num_of(sF23,0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_223])]) ).
tff(f6749,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ( $sum(num_of(X0,sK3,sK6),0) = num_of(X0,sK3,num_of(sF23,0,1)) )
| $less(num_of(sF23,0,1),sK6) )
| spl36_10
| ~ spl36_197
| spl36_223 ),
inference(resolution,[],[f3870,f6503]) ).
tff(f6503,plain,
( ! [X184: lparray_candidatecm_candidaterp,X185: $int] :
( $less(sK6,X185)
| ( num_of(X184,sK3,X185) = $sum(num_of(X184,sK3,sK6),0) )
| $less(X185,sK6) )
| spl36_10
| ~ spl36_197 ),
inference(forward_demodulation,[],[f6502,f2868]) ).
tff(f6502,plain,
( ! [X184: lparray_candidatecm_candidaterp,X185: $int] :
( $less(sK6,X185)
| ( num_of(X184,sK3,X185) = $sum(num_of(X184,sK3,sF24),0) )
| $less(X185,sK6) )
| spl36_10
| ~ spl36_197 ),
inference(forward_demodulation,[],[f6501,f2868]) ).
tff(f6501,plain,
( ! [X184: lparray_candidatecm_candidaterp,X185: $int] :
( $less(X185,sF24)
| ( num_of(X184,sK3,X185) = $sum(num_of(X184,sK3,sF24),0) )
| $less(sK6,X185) )
| spl36_10
| ~ spl36_197 ),
inference(forward_demodulation,[],[f2415,f2868]) ).
tff(f2415,plain,
( ! [X184: lparray_candidatecm_candidaterp,X185: $int] :
( $less(sF24,X185)
| ( num_of(X184,sK3,X185) = $sum(num_of(X184,sK3,sF24),0) )
| $less(X185,sF24) )
| spl36_10 ),
inference(resolution,[],[f1089,f453]) ).
tff(f453,plain,
( ~ $less(sF24,sK3)
| spl36_10 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f3870,plain,
( ~ $less(sK6,num_of(sF23,0,1))
| spl36_223 ),
inference(avatar_component_clause,[],[f3868]) ).
tff(f6764,plain,
( spl36_334
| spl36_335
| spl36_223 ),
inference(avatar_split_clause,[],[f6753,f3868,f6761,f6757]) ).
tff(f6753,plain,
( ( num_of(sF23,0,1) = sK6 )
| $less(num_of(sF23,0,1),sK6)
| spl36_223 ),
inference(resolution,[],[f3870,f88]) ).
tff(f6746,plain,
( spl36_333
| spl36_310
| ~ spl36_23
| spl36_72
| ~ spl36_307 ),
inference(avatar_split_clause,[],[f6742,f5849,f889,f516,f5951,f6744]) ).
tff(f5951,plain,
( spl36_310
<=> ( sK0 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_310])]) ).
tff(f889,plain,
( spl36_72
<=> $less(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_72])]) ).
tff(f6742,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ( sK0 = sK3 )
| ~ $less(sF16,num_of(X0,sK3,sK0)) )
| ~ spl36_23
| spl36_72
| ~ spl36_307 ),
inference(subsumption_resolution,[],[f6741,f890]) ).
tff(f890,plain,
( ~ $less(sK0,sK3)
| spl36_72 ),
inference(avatar_component_clause,[],[f889]) ).
tff(f6741,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ( sK0 = sK3 )
| $less(sK0,sK3)
| ~ $less(sF16,num_of(X0,sK3,sK0)) )
| ~ spl36_23
| ~ spl36_307 ),
inference(superposition,[],[f886,f5851]) ).
tff(f886,plain,
( ! [X0: $int,X1: lparray_candidatecm_candidaterp] :
( ~ $less($sum(X0,sF15),num_of(X1,sK3,X0))
| ( sK3 = X0 )
| $less(X0,sK3) )
| ~ spl36_23 ),
inference(resolution,[],[f833,f88]) ).
tff(f833,plain,
( ! [X0: $int,X1: lparray_candidatecm_candidaterp] :
( ~ $less(sK3,X0)
| ~ $less($sum(X0,sF15),num_of(X1,sK3,X0)) )
| ~ spl36_23 ),
inference(superposition,[],[f332,f518]) ).
tff(f6738,plain,
( spl36_323
| spl36_332
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f6692,f2866,f2754,f1740,f6736,f6481]) ).
tff(f6481,plain,
( spl36_323
<=> $less(-1,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_323])]) ).
tff(f6736,plain,
( spl36_332
<=> ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,-1)
| ( $sum(0,num_of(X0,-1,X1)) = num_of(X0,sK6,X1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_332])]) ).
tff(f1740,plain,
( spl36_132
<=> $less(sF29,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_132])]) ).
tff(f6692,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,-1)
| $less(-1,sK6)
| ( $sum(0,num_of(X0,-1,X1)) = num_of(X0,sK6,X1) ) )
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(superposition,[],[f267,f6684]) ).
tff(f6684,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ( 0 = num_of(X0,sK6,-1) )
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(interpreted_simplification,[],[f6683]) ).
tff(f6683,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( $less(1,-1)
| ( 0 = num_of(X0,sK6,-1) ) )
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(instantiation,[],[f5128]) ).
tff(f5128,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(1,X1)
| ( 0 = num_of(X0,sK6,X1) ) )
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f5127,f2868]) ).
tff(f5127,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(1,X1)
| ( 0 = num_of(X0,sF24,X1) ) )
| spl36_132
| ~ spl36_189 ),
inference(forward_demodulation,[],[f3612,f2756]) ).
tff(f3612,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(1,X1)
| ( 0 = num_of(X0,sF29,X1) ) )
| spl36_132 ),
inference(resolution,[],[f1742,f2967]) ).
tff(f2967,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,X2)
| ( 0 = num_of(X0,X1,X3) )
| $less(X2,X3) ),
inference(subsumption_resolution,[],[f2966,f1283]) ).
tff(f2966,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X3,X1)
| ( 0 = num_of(X0,X1,X3) )
| $less(X2,X3)
| $less(X1,X2) ),
inference(subsumption_resolution,[],[f2914,f1844]) ).
tff(f2914,plain,
! [X2: $int,X3: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,X2)
| $less(X2,X3)
| $less(X3,X1)
| ( 0 = num_of(X0,X1,X3) )
| $less(num_of(X0,X1,X3),0) ),
inference(superposition,[],[f805,f282]) ).
tff(f1742,plain,
( ~ $less(sF29,1)
| spl36_132 ),
inference(avatar_component_clause,[],[f1740]) ).
tff(f6734,plain,
( spl36_330
| spl36_331
| ~ spl36_277
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f6699,f2866,f2754,f1740,f5231,f6731,f6727]) ).
tff(f6727,plain,
( spl36_330
<=> $less(0,$sum(-1,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_330])]) ).
tff(f6731,plain,
( spl36_331
<=> ( 0 = $sum(-1,$uminus(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_331])]) ).
tff(f5231,plain,
( spl36_277
<=> $less(sK6,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_277])]) ).
tff(f6699,plain,
( ~ $less(sK6,-1)
| ( 0 = $sum(-1,$uminus(sK6)) )
| $less(0,$sum(-1,$uminus(sK6)))
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(superposition,[],[f779,f6684]) ).
tff(f6725,plain,
( spl36_323
| spl36_329
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f6693,f2866,f2754,f1740,f6723,f6481]) ).
tff(f6723,plain,
( spl36_329
<=> ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( $sum(num_of(X2,X3,sK6),0) = num_of(X2,X3,-1) )
| $less(sK6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_329])]) ).
tff(f6693,plain,
( ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( $sum(num_of(X2,X3,sK6),0) = num_of(X2,X3,-1) )
| $less(sK6,X3)
| $less(-1,sK6) )
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(superposition,[],[f267,f6684]) ).
tff(f6721,plain,
( ~ spl36_328
| ~ spl36_277
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f6697,f2866,f2754,f1740,f5231,f6718]) ).
tff(f6718,plain,
( spl36_328
<=> $less($sum(-1,$uminus(sK6)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_328])]) ).
tff(f6697,plain,
( ~ $less(sK6,-1)
| ~ $less($sum(-1,$uminus(sK6)),0)
| spl36_132
| ~ spl36_189
| ~ spl36_197 ),
inference(superposition,[],[f332,f6684]) ).
tff(f6581,plain,
( spl36_327
| spl36_259
| spl36_10
| ~ spl36_197
| spl36_260 ),
inference(avatar_split_clause,[],[f6577,f4530,f2866,f451,f4525,f6579]) ).
tff(f6579,plain,
( spl36_327
<=> ! [X7: lparray_candidatecm_candidaterp] : ( 0 = $sum(num_of(X7,sK3,sK6),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_327])]) ).
tff(f4530,plain,
( spl36_260
<=> $less(sK6,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_260])]) ).
tff(f6577,plain,
( ! [X7: lparray_candidatecm_candidaterp] :
( $less(sK3,sK6)
| ( 0 = $sum(num_of(X7,sK3,sK6),0) ) )
| spl36_10
| ~ spl36_197
| spl36_260 ),
inference(forward_demodulation,[],[f6568,f789]) ).
tff(f6568,plain,
( ! [X7: lparray_candidatecm_candidaterp] :
( $less(sK3,sK6)
| ( num_of(X7,sK3,sK3) = $sum(num_of(X7,sK3,sK6),0) ) )
| spl36_10
| ~ spl36_197
| spl36_260 ),
inference(resolution,[],[f6503,f4532]) ).
tff(f4532,plain,
( ~ $less(sK6,sK3)
| spl36_260 ),
inference(avatar_component_clause,[],[f4530]) ).
tff(f6563,plain,
( ~ spl36_326
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f6547,f456,f6560]) ).
tff(f6547,plain,
( ~ $less(sK0,-2)
| ~ spl36_11 ),
inference(interpreted_simplification,[],[f6546]) ).
tff(f6546,plain,
( $less(0,-1)
| ( 0 = -1 )
| ~ $less(sK0,-2)
| $less(-1,-2)
| ~ spl36_11 ),
inference(instantiation,[],[f1428]) ).
tff(f1428,plain,
( ! [X8: $int,X9: $int] :
( $less(0,X8)
| ( 0 = X8 )
| ~ $less(sK0,X9)
| $less(X8,X9) )
| ~ spl36_11 ),
inference(resolution,[],[f629,f627]) ).
tff(f6544,plain,
( spl36_325
| spl36_275
| ~ spl36_23
| spl36_260
| ~ spl36_262 ),
inference(avatar_split_clause,[],[f6540,f4541,f4530,f516,f5123,f6542]) ).
tff(f6542,plain,
( spl36_325
<=> ! [X0: lparray_candidatecm_candidaterp] : ~ $less(sF25,num_of(X0,sK3,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_325])]) ).
tff(f5123,plain,
( spl36_275
<=> ( sK6 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_275])]) ).
tff(f6540,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ( sK6 = sK3 )
| ~ $less(sF25,num_of(X0,sK3,sK6)) )
| ~ spl36_23
| spl36_260
| ~ spl36_262 ),
inference(subsumption_resolution,[],[f6539,f4532]) ).
tff(f6539,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ~ $less(sF25,num_of(X0,sK3,sK6))
| $less(sK6,sK3)
| ( sK6 = sK3 ) )
| ~ spl36_23
| ~ spl36_262 ),
inference(superposition,[],[f886,f4543]) ).
tff(f6520,plain,
( spl36_324
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f6505,f2866,f2754,f506,f431,f6517]) ).
tff(f6517,plain,
( spl36_324
<=> ( num_of(sF23,-1,sK0) = $sum(num_of(sF23,-1,0),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_324])]) ).
tff(f6505,plain,
( ( num_of(sF23,-1,sK0) = $sum(num_of(sF23,-1,0),sK6) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(interpreted_simplification,[],[f6504]) ).
tff(f6504,plain,
( $less(0,0)
| ( num_of(sF23,-1,sK0) = $sum(num_of(sF23,-1,0),sK6) )
| ~ $less(-1,0)
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(instantiation,[],[f5809]) ).
tff(f5809,plain,
( ! [X12: $int,X13: $int] :
( $less(0,X13)
| ( $sum(num_of(sF23,X12,0),sK6) = num_of(sF23,X12,sK0) )
| ~ $less(X12,X13) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f5808,f2868]) ).
tff(f5808,plain,
( ! [X12: $int,X13: $int] :
( $less(0,X13)
| ~ $less(X12,X13)
| ( $sum(num_of(sF23,X12,0),sF24) = num_of(sF23,X12,sK0) ) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f2011,f2756]) ).
tff(f2011,plain,
( ! [X12: $int,X13: $int] :
( ( num_of(sF23,X12,sK0) = $sum(num_of(sF23,X12,0),sF29) )
| ~ $less(X12,X13)
| $less(0,X13) )
| spl36_6
| ~ spl36_21 ),
inference(resolution,[],[f1701,f87]) ).
tff(f1701,plain,
( ! [X1: $int] :
( $less(0,X1)
| ( num_of(sF23,X1,sK0) = $sum(num_of(sF23,X1,0),sF29) ) )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1657,f433]) ).
tff(f1657,plain,
( ! [X1: $int] :
( ( num_of(sF23,X1,sK0) = $sum(num_of(sF23,X1,0),sF29) )
| $less(sK0,0)
| $less(0,X1) )
| ~ spl36_21 ),
inference(superposition,[],[f267,f508]) ).
tff(f6484,plain,
( spl36_323
| spl36_247
| ~ spl36_56
| ~ spl36_197
| spl36_204 ),
inference(avatar_split_clause,[],[f6474,f3462,f2866,f696,f4290,f6481]) ).
tff(f4290,plain,
( spl36_247
<=> ( -1 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_247])]) ).
tff(f3462,plain,
( spl36_204
<=> $less(sK3,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_204])]) ).
tff(f6474,plain,
( ( -1 = sK3 )
| $less(-1,sK6)
| ~ spl36_56
| ~ spl36_197
| spl36_204 ),
inference(resolution,[],[f5789,f3464]) ).
tff(f3464,plain,
( ~ $less(sK3,-1)
| spl36_204 ),
inference(avatar_component_clause,[],[f3462]) ).
tff(f5789,plain,
( ! [X1: $int] :
( $less(sK3,X1)
| $less(X1,sK6)
| ( sK3 = X1 ) )
| ~ spl36_56
| ~ spl36_197 ),
inference(forward_demodulation,[],[f1520,f2868]) ).
tff(f1520,plain,
( ! [X1: $int] :
( ( sK3 = X1 )
| $less(sK3,X1)
| $less(X1,sF24) )
| ~ spl36_56 ),
inference(resolution,[],[f698,f629]) ).
tff(f6338,plain,
( spl36_322
| spl36_308
| spl36_25
| spl36_72 ),
inference(avatar_split_clause,[],[f6317,f889,f526,f5942,f6336]) ).
tff(f6336,plain,
( spl36_322
<=> ! [X21: lparray_candidatecm_candidaterp] : ( $sum(num_of(X21,sF20,sK0),0) = num_of(X21,sF20,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_322])]) ).
tff(f6317,plain,
( ! [X21: lparray_candidatecm_candidaterp] :
( $less(sK3,sK0)
| ( $sum(num_of(X21,sF20,sK0),0) = num_of(X21,sF20,sK3) ) )
| spl36_25
| spl36_72 ),
inference(resolution,[],[f2395,f890]) ).
tff(f6300,plain,
( spl36_308
| spl36_321
| spl36_38
| spl36_72 ),
inference(avatar_split_clause,[],[f6283,f889,f592,f6298,f5942]) ).
tff(f6298,plain,
( spl36_321
<=> ! [X21: lparray_candidatecm_candidaterp] : ( $sum(num_of(X21,1,sK0),0) = num_of(X21,1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_321])]) ).
tff(f6283,plain,
( ! [X21: lparray_candidatecm_candidaterp] :
( ( $sum(num_of(X21,1,sK0),0) = num_of(X21,1,sK3) )
| $less(sK3,sK0) )
| spl36_38
| spl36_72 ),
inference(resolution,[],[f2394,f890]) ).
tff(f6260,plain,
( spl36_308
| spl36_320
| spl36_6
| spl36_72 ),
inference(avatar_split_clause,[],[f6243,f889,f431,f6258,f5942]) ).
tff(f6258,plain,
( spl36_320
<=> ! [X21: lparray_candidatecm_candidaterp] : ( num_of(X21,0,sK3) = $sum(num_of(X21,0,sK0),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_320])]) ).
tff(f6243,plain,
( ! [X21: lparray_candidatecm_candidaterp] :
( ( num_of(X21,0,sK3) = $sum(num_of(X21,0,sK0),0) )
| $less(sK3,sK0) )
| spl36_6
| spl36_72 ),
inference(resolution,[],[f2393,f890]) ).
tff(f6192,plain,
( ~ spl36_228
| ~ spl36_197
| spl36_226 ),
inference(avatar_split_clause,[],[f6191,f3929,f2866,f3957]) ).
tff(f3957,plain,
( spl36_228
<=> $less($sum(sK0,0),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_228])]) ).
tff(f3929,plain,
( spl36_226
<=> $less($sum(sK0,0),sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_226])]) ).
tff(f6191,plain,
( ~ $less($sum(sK0,0),sK6)
| ~ spl36_197
| spl36_226 ),
inference(forward_demodulation,[],[f3931,f2868]) ).
tff(f3931,plain,
( ~ $less($sum(sK0,0),sF24)
| spl36_226 ),
inference(avatar_component_clause,[],[f3929]) ).
tff(f6172,plain,
( ~ spl36_316
| ~ spl36_113 ),
inference(avatar_split_clause,[],[f6167,f1491,f6133]) ).
tff(f6133,plain,
( spl36_316
<=> $less(sF27,sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_316])]) ).
tff(f1491,plain,
( spl36_113
<=> $less(sF20,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_113])]) ).
tff(f6167,plain,
( ~ $less(sF27,sF20)
| ~ spl36_113 ),
inference(resolution,[],[f3884,f86]) ).
tff(f3884,plain,
( ! [X5: $int] :
( $less(sF20,X5)
| ~ $less(sF27,X5) )
| ~ spl36_113 ),
inference(resolution,[],[f1493,f87]) ).
tff(f1493,plain,
( $less(sF20,sF27)
| ~ spl36_113 ),
inference(avatar_component_clause,[],[f1491]) ).
tff(f6166,plain,
( spl36_230
| ~ spl36_197
| ~ spl36_225 ),
inference(avatar_split_clause,[],[f6165,f3924,f2866,f3973]) ).
tff(f3924,plain,
( spl36_225
<=> ( sK0 = $product(2,sF24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_225])]) ).
tff(f6165,plain,
( ( sK0 = $product(2,sK6) )
| ~ spl36_197
| ~ spl36_225 ),
inference(forward_demodulation,[],[f3926,f2868]) ).
tff(f3926,plain,
( ( sK0 = $product(2,sF24) )
| ~ spl36_225 ),
inference(avatar_component_clause,[],[f3924]) ).
tff(f6151,plain,
( ~ spl36_319
| ~ spl36_316
| ~ spl36_113 ),
inference(avatar_split_clause,[],[f6111,f1491,f6133,f6148]) ).
tff(f6148,plain,
( spl36_319
<=> $less($sum(sF20,$uminus(sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_319])]) ).
tff(f6111,plain,
( ~ $less(sF27,sF20)
| ~ $less($sum(sF20,$uminus(sF27)),0)
| ~ spl36_113 ),
inference(superposition,[],[f332,f3883]) ).
tff(f3883,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,sF27,sF20) )
| ~ spl36_113 ),
inference(resolution,[],[f1493,f1283]) ).
tff(f6144,plain,
( ~ spl36_316
| spl36_317
| spl36_318
| ~ spl36_113 ),
inference(avatar_split_clause,[],[f6113,f1491,f6141,f6137,f6133]) ).
tff(f6137,plain,
( spl36_317
<=> ( 0 = $sum(sF20,$uminus(sF27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_317])]) ).
tff(f6141,plain,
( spl36_318
<=> $less(0,$sum(sF20,$uminus(sF27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_318])]) ).
tff(f6113,plain,
( $less(0,$sum(sF20,$uminus(sF27)))
| ( 0 = $sum(sF20,$uminus(sF27)) )
| ~ $less(sF27,sF20)
| ~ spl36_113 ),
inference(superposition,[],[f779,f3883]) ).
tff(f6076,plain,
( spl36_315
| ~ spl36_3
| ~ spl36_120 ),
inference(avatar_split_clause,[],[f6064,f1558,f416,f6039]) ).
tff(f6039,plain,
( spl36_315
<=> $less(sF13,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_315])]) ).
tff(f1558,plain,
( spl36_120
<=> $less(sF13,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_120])]) ).
tff(f6064,plain,
( $less(sF13,sF27)
| ~ spl36_3
| ~ spl36_120 ),
inference(resolution,[],[f5929,f418]) ).
tff(f5929,plain,
( ! [X7: $int] :
( ~ $less(sK0,X7)
| $less(sF13,X7) )
| ~ spl36_120 ),
inference(resolution,[],[f1559,f87]) ).
tff(f1559,plain,
( $less(sF13,sK0)
| ~ spl36_120 ),
inference(avatar_component_clause,[],[f1558]) ).
tff(f6075,plain,
( spl36_315
| spl36_64
| ~ spl36_3
| ~ spl36_120 ),
inference(avatar_split_clause,[],[f6074,f1558,f416,f763,f6039]) ).
tff(f6074,plain,
( ( sK0 = sF27 )
| $less(sF13,sF27)
| ~ spl36_3
| ~ spl36_120 ),
inference(subsumption_resolution,[],[f6073,f86]) ).
tff(f6073,plain,
( ( sK0 = sF27 )
| $less(sF13,sF27)
| $less(sK0,sK0)
| ~ spl36_3
| ~ spl36_120 ),
inference(resolution,[],[f5929,f638]) ).
tff(f638,plain,
( ! [X4: $int] :
( $less(X4,sF27)
| $less(sK0,X4)
| ( sF27 = X4 ) )
| ~ spl36_3 ),
inference(resolution,[],[f88,f626]) ).
tff(f626,plain,
( ! [X0: $int] :
( ~ $less(sF27,X0)
| $less(sK0,X0) )
| ~ spl36_3 ),
inference(resolution,[],[f87,f418]) ).
tff(f6042,plain,
( spl36_314
| spl36_315
| ~ spl36_3
| spl36_100 ),
inference(avatar_split_clause,[],[f6028,f1258,f416,f6039,f6035]) ).
tff(f6035,plain,
( spl36_314
<=> ( sK0 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_314])]) ).
tff(f1258,plain,
( spl36_100
<=> $less(sK0,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_100])]) ).
tff(f6028,plain,
( $less(sF13,sF27)
| ( sK0 = sF13 )
| ~ spl36_3
| spl36_100 ),
inference(resolution,[],[f1259,f1437]) ).
tff(f1259,plain,
( ~ $less(sK0,sF13)
| spl36_100 ),
inference(avatar_component_clause,[],[f1258]) ).
tff(f6006,plain,
( ~ spl36_100
| ~ spl36_313
| ~ spl36_120 ),
inference(avatar_split_clause,[],[f5970,f1558,f6003,f1258]) ).
tff(f6003,plain,
( spl36_313
<=> $less($sum(sF13,$uminus(sK0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_313])]) ).
tff(f5970,plain,
( ~ $less($sum(sF13,$uminus(sK0)),0)
| ~ $less(sK0,sF13)
| ~ spl36_120 ),
inference(superposition,[],[f332,f5928]) ).
tff(f5928,plain,
( ! [X6: lparray_candidatecm_candidaterp] : ( 0 = num_of(X6,sK0,sF13) )
| ~ spl36_120 ),
inference(resolution,[],[f1559,f1283]) ).
tff(f6001,plain,
( ~ spl36_100
| spl36_311
| spl36_312
| ~ spl36_120 ),
inference(avatar_split_clause,[],[f5972,f1558,f5998,f5994,f1258]) ).
tff(f5994,plain,
( spl36_311
<=> ( 0 = $sum(sF13,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_311])]) ).
tff(f5998,plain,
( spl36_312
<=> $less(0,$sum(sF13,$uminus(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_312])]) ).
tff(f5972,plain,
( $less(0,$sum(sF13,$uminus(sK0)))
| ( 0 = $sum(sF13,$uminus(sK0)) )
| ~ $less(sK0,sF13)
| ~ spl36_120 ),
inference(superposition,[],[f779,f5928]) ).
tff(f5961,plain,
( ~ spl36_100
| spl36_292
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5960,f5783,f5529,f1258]) ).
tff(f5529,plain,
( spl36_292
<=> $less(sF14,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_292])]) ).
tff(f5960,plain,
( ~ $less(sK0,sF13)
| spl36_292
| ~ spl36_304 ),
inference(forward_demodulation,[],[f5530,f5785]) ).
tff(f5530,plain,
( ~ $less(sF14,sF13)
| spl36_292 ),
inference(avatar_component_clause,[],[f5529]) ).
tff(f5954,plain,
( spl36_308
| spl36_310
| spl36_72 ),
inference(avatar_split_clause,[],[f5938,f889,f5951,f5942]) ).
tff(f5938,plain,
( ( sK0 = sK3 )
| $less(sK3,sK0)
| spl36_72 ),
inference(resolution,[],[f890,f88]) ).
tff(f5949,plain,
( spl36_308
| spl36_309
| spl36_6
| ~ spl36_21
| spl36_72
| ~ spl36_169
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f5940,f2866,f2754,f2309,f889,f506,f431,f5946,f5942]) ).
tff(f5946,plain,
( spl36_309
<=> ( num_of(sF23,0,sK3) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_309])]) ).
tff(f5940,plain,
( ( num_of(sF23,0,sK3) = sK6 )
| $less(sK3,sK0)
| spl36_6
| ~ spl36_21
| spl36_72
| ~ spl36_169
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f5939,f2311]) ).
tff(f5939,plain,
( $less(sK3,sK0)
| ( num_of(sF23,0,sK3) = $sum(sK6,0) )
| spl36_6
| ~ spl36_21
| spl36_72
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f5934,f2868]) ).
tff(f5934,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sK3) )
| $less(sK3,sK0)
| spl36_6
| ~ spl36_21
| spl36_72
| ~ spl36_189 ),
inference(resolution,[],[f890,f4106]) ).
tff(f5856,plain,
( ~ spl36_72
| spl36_248
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5855,f5783,f4295,f889]) ).
tff(f4295,plain,
( spl36_248
<=> $less(sF14,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_248])]) ).
tff(f5855,plain,
( ~ $less(sK0,sK3)
| spl36_248
| ~ spl36_304 ),
inference(forward_demodulation,[],[f4296,f5785]) ).
tff(f4296,plain,
( ~ $less(sF14,sK3)
| spl36_248 ),
inference(avatar_component_clause,[],[f4295]) ).
tff(f5853,plain,
( spl36_120
| ~ spl36_291
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5833,f5783,f5508,f1558]) ).
tff(f5508,plain,
( spl36_291
<=> $less(sF13,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_291])]) ).
tff(f5833,plain,
( $less(sF13,sK0)
| ~ spl36_291
| ~ spl36_304 ),
inference(superposition,[],[f5509,f5785]) ).
tff(f5509,plain,
( $less(sF13,sF14)
| ~ spl36_291 ),
inference(avatar_component_clause,[],[f5508]) ).
tff(f5852,plain,
( spl36_307
| ~ spl36_14
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5811,f5783,f471,f5849]) ).
tff(f5811,plain,
( ( $sum(sK0,sF15) = sF16 )
| ~ spl36_14
| ~ spl36_304 ),
inference(superposition,[],[f473,f5785]) ).
tff(f5846,plain,
( spl36_72
| ~ spl36_248
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5826,f5783,f4295,f889]) ).
tff(f5826,plain,
( $less(sK0,sK3)
| ~ spl36_248
| ~ spl36_304 ),
inference(superposition,[],[f4297,f5785]) ).
tff(f4297,plain,
( $less(sF14,sK3)
| ~ spl36_248 ),
inference(avatar_component_clause,[],[f4295]) ).
tff(f5845,plain,
( spl36_306
| ~ spl36_36
| ~ spl36_197
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5840,f5783,f2866,f582,f5842]) ).
tff(f5842,plain,
( spl36_306
<=> ( sK6 = num_of(sF23,0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_306])]) ).
tff(f5840,plain,
( ( sK6 = num_of(sF23,0,sK0) )
| ~ spl36_36
| ~ spl36_197
| ~ spl36_304 ),
inference(forward_demodulation,[],[f5812,f2868]) ).
tff(f5812,plain,
( ( sF24 = num_of(sF23,0,sK0) )
| ~ spl36_36
| ~ spl36_304 ),
inference(superposition,[],[f584,f5785]) ).
tff(f5839,plain,
( ~ spl36_228
| spl36_150
| ~ spl36_197
| ~ spl36_304 ),
inference(avatar_split_clause,[],[f5838,f5783,f2866,f1954,f3957]) ).
tff(f1954,plain,
( spl36_150
<=> $less($sum(sF14,0),sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_150])]) ).
tff(f5838,plain,
( ~ $less($sum(sK0,0),sK6)
| spl36_150
| ~ spl36_197
| ~ spl36_304 ),
inference(forward_demodulation,[],[f5822,f2868]) ).
tff(f5822,plain,
( ~ $less($sum(sK0,0),sF24)
| spl36_150
| ~ spl36_304 ),
inference(superposition,[],[f1956,f5785]) ).
tff(f1956,plain,
( ~ $less($sum(sF14,0),sF24)
| spl36_150 ),
inference(avatar_component_clause,[],[f1954]) ).
tff(f5807,plain,
( ~ spl36_292
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5797,f5508,f5529]) ).
tff(f5797,plain,
( ~ $less(sF14,sF13)
| ~ spl36_291 ),
inference(resolution,[],[f5638,f86]) ).
tff(f5638,plain,
( ! [X7: $int] :
( $less(sF13,X7)
| ~ $less(sF14,X7) )
| ~ spl36_291 ),
inference(resolution,[],[f5509,f87]) ).
tff(f5806,plain,
( ~ spl36_305
| spl36_239
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5796,f5508,f4137,f5803]) ).
tff(f5803,plain,
( spl36_305
<=> $less(sF14,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_305])]) ).
tff(f4137,plain,
( spl36_239
<=> $less(sF13,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_239])]) ).
tff(f5796,plain,
( ~ $less(sF14,-1)
| spl36_239
| ~ spl36_291 ),
inference(resolution,[],[f5638,f4139]) ).
tff(f4139,plain,
( ~ $less(sF13,-1)
| spl36_239 ),
inference(avatar_component_clause,[],[f4137]) ).
tff(f5786,plain,
( spl36_98
| spl36_304
| spl36_146 ),
inference(avatar_split_clause,[],[f5779,f1933,f5783,f1247]) ).
tff(f1247,plain,
( spl36_98
<=> $less(sK0,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_98])]) ).
tff(f1933,plain,
( spl36_146
<=> $less(sF14,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_146])]) ).
tff(f5779,plain,
( ( sF14 = sK0 )
| $less(sK0,sF14)
| spl36_146 ),
inference(resolution,[],[f1934,f88]) ).
tff(f1934,plain,
( ~ $less(sF14,sK0)
| spl36_146 ),
inference(avatar_component_clause,[],[f1933]) ).
tff(f5771,plain,
( ~ spl36_146
| spl36_303
| ~ spl36_99
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5749,f5508,f1252,f5769,f1933]) ).
tff(f5769,plain,
( spl36_303
<=> ! [X0: lparray_candidatecm_candidaterp] :
( ~ pr(X0,sF13)
| ( 1 = num_of(X0,sF14,sK0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_303])]) ).
tff(f1252,plain,
( spl36_99
<=> ( $sum(sK0,-1) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_99])]) ).
tff(f5749,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ~ pr(X0,sF13)
| ~ $less(sF14,sK0)
| ( 1 = num_of(X0,sF14,sK0) ) )
| ~ spl36_99
| ~ spl36_291 ),
inference(evaluation,[],[f5723]) ).
tff(f5723,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ~ pr(X0,sF13)
| ~ $less(sF14,sK0)
| ( num_of(X0,sF14,sK0) = $sum(1,0) ) )
| ~ spl36_99
| ~ spl36_291 ),
inference(superposition,[],[f1506,f5637]) ).
tff(f5637,plain,
( ! [X6: lparray_candidatecm_candidaterp] : ( 0 = num_of(X6,sF14,sF13) )
| ~ spl36_291 ),
inference(resolution,[],[f5509,f1283]) ).
tff(f1506,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( $sum(1,num_of(X0,X1,sF13)) = num_of(X0,X1,sK0) )
| ~ $less(X1,sK0)
| ~ pr(X0,sF13) )
| ~ spl36_99 ),
inference(superposition,[],[f403,f1254]) ).
tff(f1254,plain,
( ( $sum(sK0,-1) = sF13 )
| ~ spl36_99 ),
inference(avatar_component_clause,[],[f1252]) ).
tff(f403,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ pr(X0,$sum(X2,-1))
| ~ $less(X1,X2)
| ( $sum(1,num_of(X0,X1,$sum(X2,-1))) = num_of(X0,X1,X2) ) ),
inference(evaluation,[],[f280]) ).
tff(f280,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( $sum(1,num_of(X0,X1,$sum(X2,$uminus(1)))) = num_of(X0,X1,X2) )
| ~ $less(X1,X2)
| ~ pr(X0,$sum(X2,$uminus(1))) ),
inference(cnf_transformation,[],[f217]) ).
tff(f217,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int,X2: $int] :
( ~ $less(X1,X2)
| ~ pr(X0,$sum(X2,$uminus(1)))
| ( $sum(1,num_of(X0,X1,$sum(X2,$uminus(1)))) = num_of(X0,X1,X2) ) ),
inference(rectify,[],[f165]) ).
tff(f165,plain,
! [X1: lparray_candidatecm_candidaterp,X2: $int,X0: $int] :
( ~ $less(X2,X0)
| ~ pr(X1,$sum(X0,$uminus(1)))
| ( $sum(1,num_of(X1,X2,$sum(X0,$uminus(1)))) = num_of(X1,X2,X0) ) ),
inference(flattening,[],[f164]) ).
tff(f164,plain,
! [X1: lparray_candidatecm_candidaterp,X2: $int,X0: $int] :
( ( $sum(1,num_of(X1,X2,$sum(X0,$uminus(1)))) = num_of(X1,X2,X0) )
| ~ pr(X1,$sum(X0,$uminus(1)))
| ~ $less(X2,X0) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X1: lparray_candidatecm_candidaterp,X2: $int,X0: $int] :
( $less(X2,X0)
=> ( pr(X1,$sum(X0,$uminus(1)))
=> ( $sum(1,num_of(X1,X2,$sum(X0,$uminus(1)))) = num_of(X1,X2,X0) ) ) ),
inference(rectify,[],[f76]) ).
tff(f76,plain,
! [X8: $int,X18: lparray_candidatecm_candidaterp,X0: $int] :
( $less(X0,X8)
=> ( pr(X18,$sum(X8,$uminus(1)))
=> ( num_of(X18,X0,X8) = $sum(1,num_of(X18,X0,$sum(X8,$uminus(1)))) ) ) ),
inference(theory_normalization,[],[f51]) ).
tff(f51,axiom,
! [X8: $int,X18: lparray_candidatecm_candidaterp,X0: $int] :
( $less(X0,X8)
=> ( pr(X18,$difference(X8,1))
=> ( num_of(X18,X0,X8) = $sum(1,num_of(X18,X0,$difference(X8,1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_right_add) ).
tff(f5767,plain,
( ~ spl36_302
| ~ spl36_292
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5729,f5508,f5529,f5764]) ).
tff(f5764,plain,
( spl36_302
<=> $less($sum(sF13,$uminus(sF14)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_302])]) ).
tff(f5729,plain,
( ~ $less(sF14,sF13)
| ~ $less($sum(sF13,$uminus(sF14)),0)
| ~ spl36_291 ),
inference(superposition,[],[f332,f5637]) ).
tff(f5762,plain,
( spl36_300
| ~ spl36_292
| spl36_301
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5731,f5508,f5759,f5529,f5755]) ).
tff(f5755,plain,
( spl36_300
<=> $less(0,$sum(sF13,$uminus(sF14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_300])]) ).
tff(f5759,plain,
( spl36_301
<=> ( 0 = $sum(sF13,$uminus(sF14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_301])]) ).
tff(f5731,plain,
( ( 0 = $sum(sF13,$uminus(sF14)) )
| ~ $less(sF14,sF13)
| $less(0,$sum(sF13,$uminus(sF14)))
| ~ spl36_291 ),
inference(superposition,[],[f779,f5637]) ).
tff(f5721,plain,
( ~ spl36_281
| spl36_77
| ~ spl36_235 ),
inference(avatar_split_clause,[],[f5715,f4073,f932,f5365]) ).
tff(f5365,plain,
( spl36_281
<=> $less(sF14,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_281])]) ).
tff(f4073,plain,
( spl36_235
<=> $less(sK5,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_235])]) ).
tff(f5715,plain,
( ~ $less(sF14,1)
| spl36_77
| ~ spl36_235 ),
inference(resolution,[],[f5657,f933]) ).
tff(f5657,plain,
( ! [X5: $int] :
( $less(sK5,X5)
| ~ $less(sF14,X5) )
| ~ spl36_235 ),
inference(resolution,[],[f4075,f87]) ).
tff(f4075,plain,
( $less(sK5,sF14)
| ~ spl36_235 ),
inference(avatar_component_clause,[],[f4073]) ).
tff(f5699,plain,
( ~ spl36_168
| spl36_298
| spl36_299
| ~ spl36_235 ),
inference(avatar_split_clause,[],[f5666,f4073,f5696,f5692,f2277]) ).
tff(f2277,plain,
( spl36_168
<=> $less(sF14,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_168])]) ).
tff(f5692,plain,
( spl36_298
<=> $less(0,$sum(sK5,$uminus(sF14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_298])]) ).
tff(f5696,plain,
( spl36_299
<=> ( 0 = $sum(sK5,$uminus(sF14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_299])]) ).
tff(f5666,plain,
( ( 0 = $sum(sK5,$uminus(sF14)) )
| $less(0,$sum(sK5,$uminus(sF14)))
| ~ $less(sF14,sK5)
| ~ spl36_235 ),
inference(superposition,[],[f779,f5656]) ).
tff(f5656,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,sF14,sK5) )
| ~ spl36_235 ),
inference(resolution,[],[f4075,f1283]) ).
tff(f5688,plain,
( ~ spl36_297
| ~ spl36_168
| ~ spl36_235 ),
inference(avatar_split_clause,[],[f5664,f4073,f2277,f5685]) ).
tff(f5685,plain,
( spl36_297
<=> $less($sum(sK5,$uminus(sF14)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_297])]) ).
tff(f5664,plain,
( ~ $less(sF14,sK5)
| ~ $less($sum(sK5,$uminus(sF14)),0)
| ~ spl36_235 ),
inference(superposition,[],[f332,f5656]) ).
tff(f5642,plain,
( spl36_235
| ~ spl36_61
| ~ spl36_291 ),
inference(avatar_split_clause,[],[f5632,f5508,f741,f4073]) ).
tff(f741,plain,
( spl36_61
<=> $less(sK5,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_61])]) ).
tff(f5632,plain,
( $less(sK5,sF14)
| ~ spl36_61
| ~ spl36_291 ),
inference(resolution,[],[f5509,f985]) ).
tff(f985,plain,
( ! [X0: $int] :
( ~ $less(sF13,X0)
| $less(sK5,X0) )
| ~ spl36_61 ),
inference(resolution,[],[f743,f87]) ).
tff(f743,plain,
( $less(sK5,sF13)
| ~ spl36_61 ),
inference(avatar_component_clause,[],[f741]) ).
tff(f5612,plain,
( ~ spl36_287
| spl36_296
| ~ spl36_12
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f5606,f613,f461,f5610,f5490]) ).
tff(f5610,plain,
( spl36_296
<=> ! [X0: array_candidate] : ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,t2tb2(X0),get(candidate1,int,elts(candidate1,t2tb2(X0)),sF32))),sK5,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_296])]) ).
tff(f461,plain,
( spl36_12
<=> ( array(candidate1) = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_12])]) ).
tff(f613,plain,
( spl36_42
<=> ( t2tb(sK5) = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_42])]) ).
tff(f5606,plain,
( ! [X0: array_candidate] :
( ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,t2tb2(X0),get(candidate1,int,elts(candidate1,t2tb2(X0)),sF32))),sK5,$sum(sK5,1)) )
| ~ $less(sK5,$sum(sK5,1)) )
| ~ spl36_12
| ~ spl36_42 ),
inference(resolution,[],[f1501,f1043]) ).
tff(f1043,plain,
! [X3: lparray_candidatecm_candidaterp,X4: $int] :
( ~ pr(X3,X4)
| ( 1 = num_of(X3,X4,$sum(X4,1)) )
| ~ $less(X4,$sum(X4,1)) ),
inference(evaluation,[],[f1040]) ).
tff(f1040,plain,
! [X3: lparray_candidatecm_candidaterp,X4: $int] :
( ( num_of(X3,X4,$sum(X4,1)) = $sum(1,0) )
| ~ pr(X3,X4)
| ~ $less(X4,$sum(X4,1)) ),
inference(superposition,[],[f352,f789]) ).
tff(f1501,plain,
( ! [X2: array_candidate] : pr(tb2t1(tuple21(sF17,candidate1,t2tb2(X2),get(candidate1,int,elts(candidate1,t2tb2(X2)),sF32))),sK5)
| ~ spl36_12
| ~ spl36_42 ),
inference(superposition,[],[f1104,f615]) ).
tff(f615,plain,
( ( t2tb(sK5) = sF32 )
| ~ spl36_42 ),
inference(avatar_component_clause,[],[f613]) ).
tff(f1104,plain,
( ! [X0: array_candidate,X1: $int] : pr(tb2t1(tuple21(sF17,candidate1,t2tb2(X0),get(candidate1,int,elts(candidate1,t2tb2(X0)),t2tb(X1)))),X1)
| ~ spl36_12 ),
inference(subsumption_resolution,[],[f1103,f337]) ).
tff(f337,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] : sort(X0,get(X0,X1,X3,X2)),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni] : sort(X0,get(X0,X1,X3,X2)),
inference(rectify,[],[f153]) ).
tff(f153,plain,
! [X0: ty,X2: ty,X3: uni,X1: uni] : sort(X0,get(X0,X2,X1,X3)),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X8: ty,X1: uni,X0: ty,X2: uni] : sort(X8,get(X8,X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_sort) ).
tff(f1103,plain,
( ! [X0: array_candidate,X1: $int] :
( pr(tb2t1(tuple21(sF17,candidate1,t2tb2(X0),get(candidate1,int,elts(candidate1,t2tb2(X0)),t2tb(X1)))),X1)
| ~ sort(candidate1,get(candidate1,int,elts(candidate1,t2tb2(X0)),t2tb(X1))) )
| ~ spl36_12 ),
inference(superposition,[],[f1097,f312]) ).
tff(f312,plain,
! [X0: uni] :
( ( t2tb3(tb2t3(X0)) = X0 )
| ~ sort(candidate1,X0) ),
inference(cnf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0: uni] :
( ~ sort(candidate1,X0)
| ( t2tb3(tb2t3(X0)) = X0 ) ),
inference(ennf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: uni] :
( sort(candidate1,X0)
=> ( t2tb3(tb2t3(X0)) = X0 ) ),
inference(rectify,[],[f47]) ).
tff(f47,axiom,
! [X15: uni] :
( sort(candidate1,X15)
=> ( t2tb3(tb2t3(X15)) = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3) ).
tff(f1097,plain,
( ! [X2: $int,X1: array_candidate] : pr(tb2t1(tuple21(sF17,candidate1,t2tb2(X1),t2tb3(tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X1)),t2tb(X2)))))),X2)
| ~ spl36_12 ),
inference(forward_demodulation,[],[f363,f463]) ).
tff(f463,plain,
( ( array(candidate1) = sF17 )
| ~ spl36_12 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f363,plain,
! [X2: $int,X1: array_candidate] : pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X1),t2tb3(tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X1)),t2tb(X2)))))),X2),
inference(equality_resolution,[],[f358]) ).
tff(f358,plain,
! [X2: $int,X0: candidate,X1: array_candidate] :
( pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X1),t2tb3(X0))),X2)
| ( tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X1)),t2tb(X2))) != X0 ) ),
inference(definition_unfolding,[],[f269,f259]) ).
tff(f259,plain,
! [X2: ty,X0: $int,X1: uni] : ( get(X2,int,elts(X2,X1),t2tb(X0)) = get1(X2,X1,X0) ),
inference(cnf_transformation,[],[f203]) ).
tff(f203,plain,
! [X0: $int,X1: uni,X2: ty] : ( get(X2,int,elts(X2,X1),t2tb(X0)) = get1(X2,X1,X0) ),
inference(rectify,[],[f157]) ).
tff(f157,plain,
! [X0: $int,X2: uni,X1: ty] : ( get(X1,int,elts(X1,X2),t2tb(X0)) = get1(X1,X2,X0) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X14: $int,X0: ty,X10: uni] : ( get1(X0,X10,X14) = get(X0,int,elts(X0,X10),t2tb(X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def) ).
tff(f269,plain,
! [X2: $int,X0: candidate,X1: array_candidate] :
( pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X1),t2tb3(X0))),X2)
| ( tb2t3(get1(candidate1,t2tb2(X1),X2)) != X0 ) ),
inference(cnf_transformation,[],[f212]) ).
tff(f212,plain,
! [X0: candidate,X1: array_candidate,X2: $int] :
( ( pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X1),t2tb3(X0))),X2)
| ( tb2t3(get1(candidate1,t2tb2(X1),X2)) != X0 ) )
& ( ( tb2t3(get1(candidate1,t2tb2(X1),X2)) = X0 )
| ~ pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X1),t2tb3(X0))),X2) ) ),
inference(rectify,[],[f211]) ).
tff(f211,plain,
! [X2: candidate,X0: array_candidate,X1: $int] :
( ( pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X0),t2tb3(X2))),X1)
| ( tb2t3(get1(candidate1,t2tb2(X0),X1)) != X2 ) )
& ( ( tb2t3(get1(candidate1,t2tb2(X0),X1)) = X2 )
| ~ pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X0),t2tb3(X2))),X1) ) ),
inference(nnf_transformation,[],[f134]) ).
tff(f134,plain,
! [X2: candidate,X0: array_candidate,X1: $int] :
( pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X0),t2tb3(X2))),X1)
<=> ( tb2t3(get1(candidate1,t2tb2(X0),X1)) = X2 ) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X0: array_candidate,X14: $int,X16: candidate] :
( ( tb2t3(get1(candidate1,t2tb2(X0),X14)) = X16 )
<=> pr(tb2t1(tuple21(array(candidate1),candidate1,t2tb2(X0),t2tb3(X16))),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pr_def) ).
tff(f5599,plain,
( spl36_295
| ~ spl36_287
| ~ spl36_12
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f5591,f613,f461,f5490,f5597]) ).
tff(f5597,plain,
( spl36_295
<=> ! [X2: uni] : ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,X2,t2tb3(tb2t3(get(candidate1,int,elts(candidate1,X2),sF32))))),sK5,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_295])]) ).
tff(f5591,plain,
( ! [X2: uni] :
( ~ $less(sK5,$sum(sK5,1))
| ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,X2,t2tb3(tb2t3(get(candidate1,int,elts(candidate1,X2),sF32))))),sK5,$sum(sK5,1)) ) )
| ~ spl36_12
| ~ spl36_42 ),
inference(resolution,[],[f1459,f1043]) ).
tff(f1459,plain,
( ! [X2: uni] : pr(tb2t1(tuple21(sF17,candidate1,X2,t2tb3(tb2t3(get(candidate1,int,elts(candidate1,X2),sF32))))),sK5)
| ~ spl36_12
| ~ spl36_42 ),
inference(superposition,[],[f1100,f615]) ).
tff(f1100,plain,
( ! [X0: uni,X1: $int] : pr(tb2t1(tuple21(sF17,candidate1,X0,t2tb3(tb2t3(get(candidate1,int,elts(candidate1,X0),t2tb(X1)))))),X1)
| ~ spl36_12 ),
inference(superposition,[],[f1097,f276]) ).
tff(f276,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X15: uni] : ( t2tb2(tb2t2(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2) ).
tff(f5559,plain,
( ~ spl36_281
| ~ spl36_86 ),
inference(avatar_split_clause,[],[f5554,f1063,f5365]) ).
tff(f1063,plain,
( spl36_86
<=> $less(1,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_86])]) ).
tff(f5554,plain,
( ~ $less(sF14,1)
| ~ spl36_86 ),
inference(resolution,[],[f3771,f86]) ).
tff(f3771,plain,
( ! [X5: $int] :
( $less(1,X5)
| ~ $less(sF14,X5) )
| ~ spl36_86 ),
inference(resolution,[],[f1065,f87]) ).
tff(f1065,plain,
( $less(1,sF14)
| ~ spl36_86 ),
inference(avatar_component_clause,[],[f1063]) ).
tff(f5549,plain,
( spl36_294
| ~ spl36_12
| ~ spl36_119
| ~ spl36_137 ),
inference(avatar_split_clause,[],[f5540,f1787,f1555,f461,f5546]) ).
tff(f5546,plain,
( spl36_294
<=> ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(sF13)))))),sF13,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_294])]) ).
tff(f1555,plain,
( spl36_119
<=> ! [X2: lparray_candidatecm_candidaterp] :
( ( 1 = num_of(X2,sF13,sK0) )
| ~ pr(X2,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_119])]) ).
tff(f1787,plain,
( spl36_137
<=> ( sF18 = elts(candidate1,sF19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_137])]) ).
tff(f5540,plain,
( ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(sF13)))))),sF13,sK0) )
| ~ spl36_12
| ~ spl36_119
| ~ spl36_137 ),
inference(resolution,[],[f1556,f3682]) ).
tff(f3682,plain,
( ! [X0: $int] : pr(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(X0)))))),X0)
| ~ spl36_12
| ~ spl36_137 ),
inference(superposition,[],[f1100,f1789]) ).
tff(f1789,plain,
( ( sF18 = elts(candidate1,sF19) )
| ~ spl36_137 ),
inference(avatar_component_clause,[],[f1787]) ).
tff(f1556,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ~ pr(X2,sF13)
| ( 1 = num_of(X2,sF13,sK0) ) )
| ~ spl36_119 ),
inference(avatar_component_clause,[],[f1555]) ).
tff(f5536,plain,
( spl36_292
| spl36_293
| spl36_291 ),
inference(avatar_split_clause,[],[f5527,f5508,f5533,f5529]) ).
tff(f5533,plain,
( spl36_293
<=> ( sF14 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_293])]) ).
tff(f5527,plain,
( ( sF14 = sF13 )
| $less(sF14,sF13)
| spl36_291 ),
inference(resolution,[],[f5510,f88]) ).
tff(f5510,plain,
( ~ $less(sF13,sF14)
| spl36_291 ),
inference(avatar_component_clause,[],[f5508]) ).
tff(f5511,plain,
( spl36_290
| ~ spl36_291
| ~ spl36_15
| ~ spl36_99 ),
inference(avatar_split_clause,[],[f5503,f1252,f476,f5508,f5505]) ).
tff(f5505,plain,
( spl36_290
<=> ! [X25: $int,X24: lparray_candidatecm_candidaterp] :
( ( 1 = num_of(X24,sF13,sF14) )
| ~ $less(X25,sK0)
| ( num_of(X24,X25,sF13) = num_of(X24,X25,sK0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_290])]) ).
tff(f476,plain,
( spl36_15
<=> ( sF14 = $sum(sF13,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_15])]) ).
tff(f5503,plain,
( ! [X24: lparray_candidatecm_candidaterp,X25: $int] :
( ~ $less(sF13,sF14)
| ( 1 = num_of(X24,sF13,sF14) )
| ( num_of(X24,X25,sF13) = num_of(X24,X25,sK0) )
| ~ $less(X25,sK0) )
| ~ spl36_15
| ~ spl36_99 ),
inference(forward_demodulation,[],[f5502,f478]) ).
tff(f478,plain,
( ( sF14 = $sum(sF13,1) )
| ~ spl36_15 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f5502,plain,
( ! [X24: lparray_candidatecm_candidaterp,X25: $int] :
( ~ $less(sF13,$sum(sF13,1))
| ( num_of(X24,X25,sF13) = num_of(X24,X25,sK0) )
| ~ $less(X25,sK0)
| ( 1 = num_of(X24,sF13,sF14) ) )
| ~ spl36_15
| ~ spl36_99 ),
inference(forward_demodulation,[],[f5476,f478]) ).
tff(f5476,plain,
( ! [X24: lparray_candidatecm_candidaterp,X25: $int] :
( ( 1 = num_of(X24,sF13,$sum(sF13,1)) )
| ~ $less(sF13,$sum(sF13,1))
| ~ $less(X25,sK0)
| ( num_of(X24,X25,sF13) = num_of(X24,X25,sK0) ) )
| ~ spl36_99 ),
inference(resolution,[],[f1043,f1507]) ).
tff(f1507,plain,
( ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( pr(X2,sF13)
| ( num_of(X2,X3,sF13) = num_of(X2,X3,sK0) )
| ~ $less(X3,sK0) )
| ~ spl36_99 ),
inference(superposition,[],[f404,f1254]) ).
tff(f404,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( pr(X0,$sum(X1,-1))
| ( num_of(X0,X2,X1) = num_of(X0,X2,$sum(X1,-1)) )
| ~ $less(X2,X1) ),
inference(evaluation,[],[f264]) ).
tff(f264,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( pr(X0,$sum(X1,$uminus(1)))
| ( num_of(X0,X2,X1) = num_of(X0,X2,$sum(X1,$uminus(1))) )
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int,X2: $int] :
( ( num_of(X0,X2,X1) = num_of(X0,X2,$sum(X1,$uminus(1))) )
| ~ $less(X2,X1)
| pr(X0,$sum(X1,$uminus(1))) ),
inference(rectify,[],[f174]) ).
tff(f174,plain,
! [X1: lparray_candidatecm_candidaterp,X0: $int,X2: $int] :
( ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,$uminus(1))) )
| ~ $less(X2,X0)
| pr(X1,$sum(X0,$uminus(1))) ),
inference(flattening,[],[f173]) ).
tff(f173,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp,X0: $int] :
( ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,$uminus(1))) )
| pr(X1,$sum(X0,$uminus(1)))
| ~ $less(X2,X0) ),
inference(ennf_transformation,[],[f143]) ).
tff(f143,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp,X0: $int] :
( $less(X2,X0)
=> ( ~ pr(X1,$sum(X0,$uminus(1)))
=> ( num_of(X1,X2,X0) = num_of(X1,X2,$sum(X0,$uminus(1))) ) ) ),
inference(rectify,[],[f78]) ).
tff(f78,plain,
! [X8: $int,X18: lparray_candidatecm_candidaterp,X0: $int] :
( $less(X0,X8)
=> ( ~ pr(X18,$sum(X8,$uminus(1)))
=> ( num_of(X18,X0,X8) = num_of(X18,X0,$sum(X8,$uminus(1))) ) ) ),
inference(theory_normalization,[],[f50]) ).
tff(f50,axiom,
! [X8: $int,X18: lparray_candidatecm_candidaterp,X0: $int] :
( $less(X0,X8)
=> ( ~ pr(X18,$difference(X8,1))
=> ( num_of(X18,X0,X8) = num_of(X18,X0,$difference(X8,1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_right_no_add) ).
tff(f5501,plain,
( spl36_289
| ~ spl36_287
| ~ spl36_12
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f5483,f613,f461,f5490,f5499]) ).
tff(f5499,plain,
( spl36_289
<=> ! [X37: array_candidate] : ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,t2tb2(X37),t2tb3(tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X37)),sF32))))),sK5,$sum(sK5,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_289])]) ).
tff(f5483,plain,
( ! [X37: array_candidate] :
( ~ $less(sK5,$sum(sK5,1))
| ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,t2tb2(X37),t2tb3(tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X37)),sF32))))),sK5,$sum(sK5,1)) ) )
| ~ spl36_12
| ~ spl36_42 ),
inference(resolution,[],[f1043,f1102]) ).
tff(f1102,plain,
( ! [X2: array_candidate] : pr(tb2t1(tuple21(sF17,candidate1,t2tb2(X2),t2tb3(tb2t3(get(candidate1,int,elts(candidate1,t2tb2(X2)),sF32))))),sK5)
| ~ spl36_12
| ~ spl36_42 ),
inference(superposition,[],[f1097,f615]) ).
tff(f5497,plain,
( ~ spl36_287
| spl36_288
| ~ spl36_284 ),
inference(avatar_split_clause,[],[f5484,f5411,f5494,f5490]) ).
tff(f5411,plain,
( spl36_284
<=> pr(sF23,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_284])]) ).
tff(f5484,plain,
( ( 1 = num_of(sF23,sK5,$sum(sK5,1)) )
| ~ $less(sK5,$sum(sK5,1))
| ~ spl36_284 ),
inference(resolution,[],[f1043,f5413]) ).
tff(f5413,plain,
( pr(sF23,sK5)
| ~ spl36_284 ),
inference(avatar_component_clause,[],[f5411]) ).
tff(f5425,plain,
( spl36_286
| ~ spl36_12
| ~ spl36_137 ),
inference(avatar_split_clause,[],[f5397,f1787,f461,f5422]) ).
tff(f5422,plain,
( spl36_286
<=> ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(0)))))),0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_286])]) ).
tff(f5397,plain,
( ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(0)))))),0,1) )
| ~ spl36_12
| ~ spl36_137 ),
inference(resolution,[],[f3682,f1045]) ).
tff(f5419,plain,
( spl36_285
| ~ spl36_12
| ~ spl36_137 ),
inference(avatar_split_clause,[],[f5401,f1787,f461,f5416]) ).
tff(f5416,plain,
( spl36_285
<=> ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(-1)))))),-1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_285])]) ).
tff(f5401,plain,
( ( 1 = num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,t2tb(-1)))))),-1,0) )
| ~ spl36_12
| ~ spl36_137 ),
inference(resolution,[],[f3682,f1397]) ).
tff(f1397,plain,
! [X0: lparray_candidatecm_candidaterp] :
( ~ pr(X0,-1)
| ( 1 = num_of(X0,-1,0) ) ),
inference(interpreted_simplification,[],[f1396]) ).
tff(f1396,plain,
! [X0: lparray_candidatecm_candidaterp] :
( $less($sum(-1,1),0)
| ~ pr(X0,-1)
| ( 1 = num_of(X0,-1,0) )
| ~ $less(-1,0) ),
inference(instantiation,[],[f1042]) ).
tff(f1042,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less($sum(X1,1),X2)
| ~ pr(X0,X1)
| ( 1 = num_of(X0,X1,X2) )
| ~ $less(X1,X2) ),
inference(evaluation,[],[f1039]) ).
tff(f1039,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ pr(X0,X1)
| $less($sum(X1,1),X2)
| ( num_of(X0,X1,X2) = $sum(1,0) )
| ~ $less(X1,X2) ),
inference(superposition,[],[f352,f282]) ).
tff(f5414,plain,
( spl36_284
| ~ spl36_12
| ~ spl36_16
| ~ spl36_29
| ~ spl36_32
| ~ spl36_37
| ~ spl36_42
| ~ spl36_71
| ~ spl36_137 ),
inference(avatar_split_clause,[],[f5409,f1787,f881,f613,f587,f562,f547,f481,f461,f5411]) ).
tff(f481,plain,
( spl36_16
<=> ( sF21 = t2tb3(sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_16])]) ).
tff(f547,plain,
( spl36_29
<=> ( sF22 = tuple21(sF17,candidate1,sF19,sF21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_29])]) ).
tff(f562,plain,
( spl36_32
<=> ( tb2t1(sF22) = sF23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_32])]) ).
tff(f587,plain,
( spl36_37
<=> ( get(candidate1,int,sF18,sF32) = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_37])]) ).
tff(f881,plain,
( spl36_71
<=> ( tb2t3(sF33) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_71])]) ).
tff(f5409,plain,
( pr(sF23,sK5)
| ~ spl36_12
| ~ spl36_16
| ~ spl36_29
| ~ spl36_32
| ~ spl36_37
| ~ spl36_42
| ~ spl36_71
| ~ spl36_137 ),
inference(forward_demodulation,[],[f5408,f564]) ).
tff(f564,plain,
( ( tb2t1(sF22) = sF23 )
| ~ spl36_32 ),
inference(avatar_component_clause,[],[f562]) ).
tff(f5408,plain,
( pr(tb2t1(sF22),sK5)
| ~ spl36_12
| ~ spl36_16
| ~ spl36_29
| ~ spl36_37
| ~ spl36_42
| ~ spl36_71
| ~ spl36_137 ),
inference(forward_demodulation,[],[f5407,f549]) ).
tff(f549,plain,
( ( sF22 = tuple21(sF17,candidate1,sF19,sF21) )
| ~ spl36_29 ),
inference(avatar_component_clause,[],[f547]) ).
tff(f5407,plain,
( pr(tb2t1(tuple21(sF17,candidate1,sF19,sF21)),sK5)
| ~ spl36_12
| ~ spl36_16
| ~ spl36_37
| ~ spl36_42
| ~ spl36_71
| ~ spl36_137 ),
inference(forward_demodulation,[],[f5406,f483]) ).
tff(f483,plain,
( ( sF21 = t2tb3(sK2) )
| ~ spl36_16 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f5406,plain,
( pr(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(sK2))),sK5)
| ~ spl36_12
| ~ spl36_37
| ~ spl36_42
| ~ spl36_71
| ~ spl36_137 ),
inference(forward_demodulation,[],[f5405,f883]) ).
tff(f883,plain,
( ( tb2t3(sF33) = sK2 )
| ~ spl36_71 ),
inference(avatar_component_clause,[],[f881]) ).
tff(f5405,plain,
( pr(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(sF33)))),sK5)
| ~ spl36_12
| ~ spl36_37
| ~ spl36_42
| ~ spl36_137 ),
inference(forward_demodulation,[],[f5403,f589]) ).
tff(f589,plain,
( ( get(candidate1,int,sF18,sF32) = sF33 )
| ~ spl36_37 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f5403,plain,
( pr(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(tb2t3(get(candidate1,int,sF18,sF32))))),sK5)
| ~ spl36_12
| ~ spl36_42
| ~ spl36_137 ),
inference(superposition,[],[f3682,f615]) ).
tff(f5379,plain,
( spl36_282
| ~ spl36_281
| spl36_283
| ~ spl36_86 ),
inference(avatar_split_clause,[],[f5342,f1063,f5376,f5365,f5372]) ).
tff(f5372,plain,
( spl36_282
<=> $less(0,$sum(1,$uminus(sF14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_282])]) ).
tff(f5376,plain,
( spl36_283
<=> ( 0 = $sum(1,$uminus(sF14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_283])]) ).
tff(f5342,plain,
( ( 0 = $sum(1,$uminus(sF14)) )
| ~ $less(sF14,1)
| $less(0,$sum(1,$uminus(sF14)))
| ~ spl36_86 ),
inference(superposition,[],[f779,f3770]) ).
tff(f3770,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,sF14,1) )
| ~ spl36_86 ),
inference(resolution,[],[f1065,f1283]) ).
tff(f5368,plain,
( ~ spl36_280
| ~ spl36_281
| ~ spl36_86 ),
inference(avatar_split_clause,[],[f5340,f1063,f5365,f5361]) ).
tff(f5361,plain,
( spl36_280
<=> $less($sum(1,$uminus(sF14)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_280])]) ).
tff(f5340,plain,
( ~ $less(sF14,1)
| ~ $less($sum(1,$uminus(sF14)),0)
| ~ spl36_86 ),
inference(superposition,[],[f332,f3770]) ).
tff(f5319,plain,
( spl36_240
| spl36_279
| spl36_239 ),
inference(avatar_split_clause,[],[f5314,f4137,f5316,f4142]) ).
tff(f4142,plain,
( spl36_240
<=> $less(-1,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_240])]) ).
tff(f5316,plain,
( spl36_279
<=> ( -1 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_279])]) ).
tff(f5314,plain,
( ( -1 = sF13 )
| $less(-1,sF13)
| spl36_239 ),
inference(resolution,[],[f4139,f88]) ).
tff(f5310,plain,
( ~ spl36_277
| ~ spl36_189
| ~ spl36_197
| spl36_219 ),
inference(avatar_split_clause,[],[f5309,f3811,f2866,f2754,f5231]) ).
tff(f3811,plain,
( spl36_219
<=> $less(sF29,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_219])]) ).
tff(f5309,plain,
( ~ $less(sK6,-1)
| ~ spl36_189
| ~ spl36_197
| spl36_219 ),
inference(forward_demodulation,[],[f5308,f2868]) ).
tff(f5308,plain,
( ~ $less(sF24,-1)
| ~ spl36_189
| spl36_219 ),
inference(forward_demodulation,[],[f3813,f2756]) ).
tff(f3813,plain,
( ~ $less(sF29,-1)
| spl36_219 ),
inference(avatar_component_clause,[],[f3811]) ).
tff(f5249,plain,
( spl36_92
| spl36_278
| ~ spl36_61
| spl36_77 ),
inference(avatar_split_clause,[],[f5238,f932,f741,f5246,f1165]) ).
tff(f1165,plain,
( spl36_92
<=> $less(1,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_92])]) ).
tff(f5238,plain,
( ( 1 = sK5 )
| $less(1,sF13)
| ~ spl36_61
| spl36_77 ),
inference(resolution,[],[f1439,f933]) ).
tff(f1439,plain,
( ! [X28: $int] :
( $less(sK5,X28)
| ( sK5 = X28 )
| $less(X28,sF13) )
| ~ spl36_61 ),
inference(resolution,[],[f629,f743]) ).
tff(f5234,plain,
( ~ spl36_277
| ~ spl36_161 ),
inference(avatar_split_clause,[],[f5220,f2221,f5231]) ).
tff(f5220,plain,
( ~ $less(sK6,-1)
| ~ spl36_161 ),
inference(interpreted_simplification,[],[f5219]) ).
tff(f5219,plain,
( $less(0,-1)
| ~ $less(sK6,-1)
| ~ spl36_161 ),
inference(instantiation,[],[f2773]) ).
tff(f2773,plain,
( ! [X2: $int] :
( $less(0,X2)
| ~ $less(sK6,X2) )
| ~ spl36_161 ),
inference(resolution,[],[f2223,f87]) ).
tff(f5214,plain,
( spl36_214
| ~ spl36_162 ),
inference(avatar_split_clause,[],[f5204,f2229,f3720]) ).
tff(f3720,plain,
( spl36_214
<=> $less(-1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_214])]) ).
tff(f5204,plain,
( $less(-1,sK5)
| ~ spl36_162 ),
inference(interpreted_simplification,[],[f5203]) ).
tff(f5203,plain,
( $less(0,-1)
| $less(-1,sK5)
| ~ spl36_162 ),
inference(instantiation,[],[f2230]) ).
tff(f5167,plain,
( spl36_126
| spl36_6
| ~ spl36_21
| ~ spl36_161
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f5166,f2779,f2221,f506,f431,f1681]) ).
tff(f5166,plain,
( ! [X0: $int] :
( $less(X0,sK0)
| $less(0,X0) )
| spl36_6
| ~ spl36_21
| ~ spl36_161
| ~ spl36_190 ),
inference(subsumption_resolution,[],[f5164,f2223]) ).
tff(f5164,plain,
( ! [X0: $int] :
( $less(X0,sK0)
| $less(0,X0)
| ~ $less(0,sK6) )
| spl36_6
| ~ spl36_21
| ~ spl36_190 ),
inference(superposition,[],[f3945,f282]) ).
tff(f5150,plain,
( spl36_276
| ~ spl36_189
| ~ spl36_197
| ~ spl36_199 ),
inference(avatar_split_clause,[],[f5145,f2881,f2866,f2754,f5147]) ).
tff(f5147,plain,
( spl36_276
<=> $less(sK6,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_276])]) ).
tff(f2881,plain,
( spl36_199
<=> $less(sF29,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_199])]) ).
tff(f5145,plain,
( $less(sK6,sF27)
| ~ spl36_189
| ~ spl36_197
| ~ spl36_199 ),
inference(forward_demodulation,[],[f5144,f2868]) ).
tff(f5144,plain,
( $less(sF24,sF27)
| ~ spl36_189
| ~ spl36_199 ),
inference(forward_demodulation,[],[f2883,f2756]) ).
tff(f2883,plain,
( $less(sF29,sF27)
| ~ spl36_199 ),
inference(avatar_component_clause,[],[f2881]) ).
tff(f5134,plain,
( spl36_205
| spl36_247
| spl36_204 ),
inference(avatar_split_clause,[],[f5133,f3462,f4290,f3467]) ).
tff(f3467,plain,
( spl36_205
<=> $less(-1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_205])]) ).
tff(f5133,plain,
( ( -1 = sK3 )
| $less(-1,sK3)
| spl36_204 ),
inference(resolution,[],[f3464,f88]) ).
tff(f5126,plain,
( spl36_259
| spl36_275
| spl36_260 ),
inference(avatar_split_clause,[],[f5121,f4530,f5123,f4525]) ).
tff(f5121,plain,
( ( sK6 = sK3 )
| $less(sK3,sK6)
| spl36_260 ),
inference(resolution,[],[f4532,f88]) ).
tff(f5110,plain,
( spl36_202
| spl36_274
| ~ spl36_3
| spl36_65 ),
inference(avatar_split_clause,[],[f5100,f772,f416,f5107,f3335]) ).
tff(f3335,plain,
( spl36_202
<=> ( sK0 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_202])]) ).
tff(f5107,plain,
( spl36_274
<=> $less(-1,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_274])]) ).
tff(f772,plain,
( spl36_65
<=> $less(sK0,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_65])]) ).
tff(f5100,plain,
( $less(-1,sF27)
| ( sK0 = -1 )
| ~ spl36_3
| spl36_65 ),
inference(resolution,[],[f1437,f774]) ).
tff(f774,plain,
( ~ $less(sK0,-1)
| spl36_65 ),
inference(avatar_component_clause,[],[f772]) ).
tff(f5087,plain,
( spl36_273
| ~ spl36_165
| ~ spl36_269 ),
inference(avatar_split_clause,[],[f5077,f5002,f2264,f5084]) ).
tff(f5084,plain,
( spl36_273
<=> $less(1,$sum(sF14,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_273])]) ).
tff(f2264,plain,
( spl36_165
<=> $less(1,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_165])]) ).
tff(f5002,plain,
( spl36_269
<=> $less(sK6,$sum(sF14,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_269])]) ).
tff(f5077,plain,
( $less(1,$sum(sF14,0))
| ~ spl36_165
| ~ spl36_269 ),
inference(resolution,[],[f5004,f4177]) ).
tff(f4177,plain,
( ! [X5: $int] :
( ~ $less(sK6,X5)
| $less(1,X5) )
| ~ spl36_165 ),
inference(resolution,[],[f2265,f87]) ).
tff(f2265,plain,
( $less(1,sK6)
| ~ spl36_165 ),
inference(avatar_component_clause,[],[f2264]) ).
tff(f5004,plain,
( $less(sK6,$sum(sF14,0))
| ~ spl36_269 ),
inference(avatar_component_clause,[],[f5002]) ).
tff(f5043,plain,
( spl36_272
| ~ spl36_165
| ~ spl36_268 ),
inference(avatar_split_clause,[],[f5033,f4994,f2264,f5040]) ).
tff(f5040,plain,
( spl36_272
<=> $less(1,$sum(sK0,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_272])]) ).
tff(f4994,plain,
( spl36_268
<=> $less(sK6,$sum(sK0,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_268])]) ).
tff(f5033,plain,
( $less(1,$sum(sK0,0))
| ~ spl36_165
| ~ spl36_268 ),
inference(resolution,[],[f4996,f4177]) ).
tff(f4996,plain,
( $less(sK6,$sum(sK0,0))
| ~ spl36_268 ),
inference(avatar_component_clause,[],[f4994]) ).
tff(f5022,plain,
( spl36_270
| spl36_100
| spl36_91
| spl36_271
| ~ spl36_3
| ~ spl36_15 ),
inference(avatar_split_clause,[],[f5014,f476,f416,f5020,f1161,f1258,f5016]) ).
tff(f5016,plain,
( spl36_270
<=> $less(sF14,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_270])]) ).
tff(f1161,plain,
( spl36_91
<=> ( sF27 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_91])]) ).
tff(f5020,plain,
( spl36_271
<=> ! [X14: lparray_candidatecm_candidaterp] :
( ~ pr(X14,sF13)
| ( 1 = num_of(X14,sF13,sF27) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_271])]) ).
tff(f5014,plain,
( ! [X14: lparray_candidatecm_candidaterp] :
( ~ pr(X14,sF13)
| ( sF27 = sF13 )
| $less(sK0,sF13)
| $less(sF14,sF27)
| ( 1 = num_of(X14,sF13,sF27) ) )
| ~ spl36_3
| ~ spl36_15 ),
inference(resolution,[],[f1402,f638]) ).
tff(f1402,plain,
( ! [X2: $int,X3: lparray_candidatecm_candidaterp] :
( ~ $less(sF13,X2)
| $less(sF14,X2)
| ~ pr(X3,sF13)
| ( 1 = num_of(X3,sF13,X2) ) )
| ~ spl36_15 ),
inference(superposition,[],[f1042,f478]) ).
tff(f5005,plain,
( spl36_269
| ~ spl36_177
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f5000,f2866,f2529,f5002]) ).
tff(f2529,plain,
( spl36_177
<=> $less(sF24,$sum(sF14,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_177])]) ).
tff(f5000,plain,
( $less(sK6,$sum(sF14,0))
| ~ spl36_177
| ~ spl36_197 ),
inference(forward_demodulation,[],[f2531,f2868]) ).
tff(f2531,plain,
( $less(sF24,$sum(sF14,0))
| ~ spl36_177 ),
inference(avatar_component_clause,[],[f2529]) ).
tff(f4999,plain,
( ~ spl36_229
| ~ spl36_197
| spl36_227 ),
inference(avatar_split_clause,[],[f4998,f3934,f2866,f3963]) ).
tff(f3963,plain,
( spl36_229
<=> $less(sK6,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_229])]) ).
tff(f3934,plain,
( spl36_227
<=> $less(sF24,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_227])]) ).
tff(f4998,plain,
( ~ $less(sK6,1)
| ~ spl36_197
| spl36_227 ),
inference(forward_demodulation,[],[f3936,f2868]) ).
tff(f3936,plain,
( ~ $less(sF24,1)
| spl36_227 ),
inference(avatar_component_clause,[],[f3934]) ).
tff(f4997,plain,
( spl36_268
| ~ spl36_175
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4992,f2866,f2754,f2519,f4994]) ).
tff(f2519,plain,
( spl36_175
<=> $less(sF29,$sum(sK0,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_175])]) ).
tff(f4992,plain,
( $less(sK6,$sum(sK0,0))
| ~ spl36_175
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4991,f2868]) ).
tff(f4991,plain,
( $less(sF24,$sum(sK0,0))
| ~ spl36_175
| ~ spl36_189 ),
inference(forward_demodulation,[],[f2521,f2756]) ).
tff(f2521,plain,
( $less(sF29,$sum(sK0,0))
| ~ spl36_175 ),
inference(avatar_component_clause,[],[f2519]) ).
tff(f4987,plain,
( spl36_267
| ~ spl36_165
| ~ spl36_174 ),
inference(avatar_split_clause,[],[f4977,f2513,f2264,f4984]) ).
tff(f4984,plain,
( spl36_267
<=> $less(1,$sum(sK5,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_267])]) ).
tff(f2513,plain,
( spl36_174
<=> $less(sK6,$sum(sK5,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_174])]) ).
tff(f4977,plain,
( $less(1,$sum(sK5,0))
| ~ spl36_165
| ~ spl36_174 ),
inference(resolution,[],[f2515,f4177]) ).
tff(f2515,plain,
( $less(sK6,$sum(sK5,0))
| ~ spl36_174 ),
inference(avatar_component_clause,[],[f2513]) ).
tff(f4971,plain,
( spl36_126
| spl36_160
| spl36_6
| ~ spl36_21
| spl36_121
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4970,f2866,f2754,f1591,f506,f431,f2215,f1681]) ).
tff(f2215,plain,
( spl36_160
<=> $less(sK6,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_160])]) ).
tff(f1591,plain,
( spl36_121
<=> ( 0 = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_121])]) ).
tff(f4970,plain,
( ! [X0: $int] :
( $less(sK6,0)
| $less(0,X0)
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21
| spl36_121
| ~ spl36_189
| ~ spl36_197 ),
inference(subsumption_resolution,[],[f4968,f1592]) ).
tff(f1592,plain,
( ( 0 != sK6 )
| spl36_121 ),
inference(avatar_component_clause,[],[f1591]) ).
tff(f4968,plain,
( ! [X0: $int] :
( ( 0 = sK6 )
| $less(sK6,0)
| $less(0,X0)
| $less(X0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(superposition,[],[f4750,f282]) ).
tff(f4943,plain,
( spl36_266
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f4929,f958,f4940]) ).
tff(f4940,plain,
( spl36_266
<=> $less(-1,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_266])]) ).
tff(f958,plain,
( spl36_81
<=> $less(0,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_81])]) ).
tff(f4929,plain,
( $less(-1,sF14)
| ~ spl36_81 ),
inference(interpreted_simplification,[],[f4928]) ).
tff(f4928,plain,
( $less(0,-1)
| ( 0 = -1 )
| $less(-1,sF14)
| ~ spl36_81 ),
inference(instantiation,[],[f1434]) ).
tff(f1434,plain,
( ! [X19: $int] :
( $less(0,X19)
| ( 0 = X19 )
| $less(X19,sF14) )
| ~ spl36_81 ),
inference(resolution,[],[f629,f960]) ).
tff(f960,plain,
( $less(0,sF14)
| ~ spl36_81 ),
inference(avatar_component_clause,[],[f958]) ).
tff(f4918,plain,
( ~ spl36_160
| spl36_77
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4917,f2152,f932,f2215]) ).
tff(f4917,plain,
( ~ $less(sK6,0)
| spl36_77
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4916,f715]) ).
tff(f4916,plain,
( ~ $less(sK6,num_of(sF23,0,0))
| spl36_77
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4905,f933]) ).
tff(f4905,plain,
( $less(sK5,1)
| ~ $less(sK6,num_of(sF23,0,0))
| ~ spl36_156 ),
inference(interpreted_simplification,[],[f4904]) ).
tff(f4904,plain,
( $less(sK5,1)
| ~ $less(sK6,num_of(sF23,0,0))
| ~ $less(0,1)
| $less(0,0)
| ~ spl36_156 ),
inference(instantiation,[],[f2295]) ).
tff(f2295,plain,
( ! [X4: $int,X5: $int] :
( $less(sK5,X5)
| ~ $less(sK6,num_of(sF23,0,X4))
| ~ $less(X4,X5)
| $less(X4,0) )
| ~ spl36_156 ),
inference(resolution,[],[f2195,f87]) ).
tff(f4890,plain,
( spl36_170
| ~ spl36_152
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4889,f2866,f2754,f2015,f2354]) ).
tff(f2015,plain,
( spl36_152
<=> ( $sum(0,sF29) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_152])]) ).
tff(f4889,plain,
( ( sK6 = $sum(0,sK6) )
| ~ spl36_152
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4888,f2868]) ).
tff(f4888,plain,
( ( sF24 = $sum(0,sF24) )
| ~ spl36_152
| ~ spl36_189 ),
inference(forward_demodulation,[],[f2017,f2756]) ).
tff(f2017,plain,
( ( $sum(0,sF29) = sF29 )
| ~ spl36_152 ),
inference(avatar_component_clause,[],[f2015]) ).
tff(f4886,plain,
( spl36_169
| ~ spl36_138
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4885,f2866,f2754,f1866,f2309]) ).
tff(f1866,plain,
( spl36_138
<=> ( $sum(sF29,0) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_138])]) ).
tff(f4885,plain,
( ( sK6 = $sum(sK6,0) )
| ~ spl36_138
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4884,f2868]) ).
tff(f4884,plain,
( ( $sum(sF24,0) = sF24 )
| ~ spl36_138
| ~ spl36_189 ),
inference(forward_demodulation,[],[f1868,f2756]) ).
tff(f1868,plain,
( ( $sum(sF29,0) = sF29 )
| ~ spl36_138 ),
inference(avatar_component_clause,[],[f1866]) ).
tff(f4883,plain,
( spl36_169
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4882,f2866,f1923,f582,f2309]) ).
tff(f1923,plain,
( spl36_144
<=> ! [X0: $int] :
( $less(X0,sF14)
| ( $sum(sF24,num_of(sF23,sF14,X0)) = num_of(sF23,0,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_144])]) ).
tff(f4882,plain,
( ( sK6 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4881,f2868]) ).
tff(f4881,plain,
( ( sF24 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4880,f584]) ).
tff(f4880,plain,
( ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| ~ spl36_144
| ~ spl36_197 ),
inference(subsumption_resolution,[],[f4875,f86]) ).
tff(f4875,plain,
( ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| $less(sF14,sF14)
| ~ spl36_144
| ~ spl36_197 ),
inference(factoring,[],[f4849]) ).
tff(f4849,plain,
( ! [X0: $int] :
( $less(sF14,X0)
| ( num_of(sF23,0,X0) = $sum(sK6,0) )
| $less(X0,sF14) )
| ~ spl36_144
| ~ spl36_197 ),
inference(superposition,[],[f4681,f282]) ).
tff(f4681,plain,
( ! [X0: $int] :
( ( $sum(sK6,num_of(sF23,sF14,X0)) = num_of(sF23,0,X0) )
| $less(X0,sF14) )
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f1924,f2868]) ).
tff(f1924,plain,
( ! [X0: $int] :
( $less(X0,sF14)
| ( $sum(sF24,num_of(sF23,sF14,X0)) = num_of(sF23,0,X0) ) )
| ~ spl36_144 ),
inference(avatar_component_clause,[],[f1923]) ).
tff(f4879,plain,
( spl36_169
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4878,f2866,f1923,f582,f2309]) ).
tff(f4878,plain,
( ( sK6 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4877,f2868]) ).
tff(f4877,plain,
( ( sF24 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4876,f584]) ).
tff(f4876,plain,
( ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| ~ spl36_144
| ~ spl36_197 ),
inference(subsumption_resolution,[],[f4870,f86]) ).
tff(f4870,plain,
( ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| $less(sF14,sF14)
| ~ spl36_144
| ~ spl36_197 ),
inference(resolution,[],[f4849,f86]) ).
tff(f4867,plain,
( spl36_240
| ~ spl36_57 ),
inference(avatar_split_clause,[],[f4857,f702,f4142]) ).
tff(f702,plain,
( spl36_57
<=> $less(0,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_57])]) ).
tff(f4857,plain,
( $less(-1,sF13)
| ~ spl36_57 ),
inference(interpreted_simplification,[],[f4856]) ).
tff(f4856,plain,
( $less(0,-1)
| $less(-1,sF13)
| ( 0 = -1 )
| ~ spl36_57 ),
inference(instantiation,[],[f1433]) ).
tff(f1433,plain,
( ! [X18: $int] :
( $less(0,X18)
| $less(X18,sF13)
| ( 0 = X18 ) )
| ~ spl36_57 ),
inference(resolution,[],[f629,f704]) ).
tff(f704,plain,
( $less(0,sF13)
| ~ spl36_57 ),
inference(avatar_component_clause,[],[f702]) ).
tff(f4854,plain,
( spl36_169
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4853,f2866,f1923,f582,f2309]) ).
tff(f4853,plain,
( ( sK6 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4852,f2868]) ).
tff(f4852,plain,
( ( sF24 = $sum(sK6,0) )
| ~ spl36_36
| ~ spl36_144
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4851,f584]) ).
tff(f4851,plain,
( ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| ~ spl36_144
| ~ spl36_197 ),
inference(subsumption_resolution,[],[f4850,f86]) ).
tff(f4850,plain,
( $less(sF14,sF14)
| ( num_of(sF23,0,sF14) = $sum(sK6,0) )
| ~ spl36_144
| ~ spl36_197 ),
inference(superposition,[],[f4681,f789]) ).
tff(f4847,plain,
( spl36_205
| ~ spl36_50 ),
inference(avatar_split_clause,[],[f4837,f669,f3467]) ).
tff(f669,plain,
( spl36_50
<=> $less(0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_50])]) ).
tff(f4837,plain,
( $less(-1,sK3)
| ~ spl36_50 ),
inference(interpreted_simplification,[],[f4836]) ).
tff(f4836,plain,
( $less(0,-1)
| $less(-1,sK3)
| ( 0 = -1 )
| ~ spl36_50 ),
inference(instantiation,[],[f1432]) ).
tff(f1432,plain,
( ! [X17: $int] :
( $less(0,X17)
| $less(X17,sK3)
| ( 0 = X17 ) )
| ~ spl36_50 ),
inference(resolution,[],[f629,f671]) ).
tff(f671,plain,
( $less(0,sK3)
| ~ spl36_50 ),
inference(avatar_component_clause,[],[f669]) ).
tff(f4835,plain,
( spl36_201
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f4825,f456,f3331]) ).
tff(f3331,plain,
( spl36_201
<=> $less(-1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_201])]) ).
tff(f4825,plain,
( $less(-1,sK0)
| ~ spl36_11 ),
inference(interpreted_simplification,[],[f4824]) ).
tff(f4824,plain,
( $less(0,-1)
| $less(-1,sK0)
| ( 0 = -1 )
| ~ spl36_11 ),
inference(instantiation,[],[f1431]) ).
tff(f1431,plain,
( ! [X16: $int] :
( $less(0,X16)
| $less(X16,sK0)
| ( 0 = X16 ) )
| ~ spl36_11 ),
inference(resolution,[],[f629,f458]) ).
tff(f4821,plain,
( ~ spl36_160
| ~ spl36_265
| spl36_139
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4786,f2866,f1900,f4818,f2215]) ).
tff(f4818,plain,
( spl36_265
<=> $less($sum(0,$uminus(sK6)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_265])]) ).
tff(f1900,plain,
( spl36_139
<=> $less(sF24,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_139])]) ).
tff(f4786,plain,
( ~ $less($sum(0,$uminus(sK6)),0)
| ~ $less(sK6,0)
| spl36_139
| ~ spl36_197 ),
inference(superposition,[],[f332,f4682]) ).
tff(f4682,plain,
( ! [X205: lparray_candidatecm_candidaterp] : ( 0 = num_of(X205,sK6,0) )
| spl36_139
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4454,f2868]) ).
tff(f4454,plain,
( ! [X205: lparray_candidatecm_candidaterp] : ( 0 = num_of(X205,sF24,0) )
| spl36_139 ),
inference(interpreted_simplification,[],[f4453]) ).
tff(f4453,plain,
( ! [X205: lparray_candidatecm_candidaterp] :
( $less(0,0)
| ( 0 = num_of(X205,sF24,0) ) )
| spl36_139 ),
inference(instantiation,[],[f3025]) ).
tff(f3025,plain,
( ! [X205: lparray_candidatecm_candidaterp,X206: $int] :
( $less(0,X206)
| ( 0 = num_of(X205,sF24,X206) ) )
| spl36_139 ),
inference(resolution,[],[f2967,f1902]) ).
tff(f1902,plain,
( ~ $less(sF24,0)
| spl36_139 ),
inference(avatar_component_clause,[],[f1900]) ).
tff(f4814,plain,
( spl36_263
| ~ spl36_160
| spl36_264
| spl36_139
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4788,f2866,f1900,f4811,f2215,f4807]) ).
tff(f4807,plain,
( spl36_263
<=> $less(0,$sum(0,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_263])]) ).
tff(f4811,plain,
( spl36_264
<=> ( 0 = $sum(0,$uminus(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_264])]) ).
tff(f4788,plain,
( ( 0 = $sum(0,$uminus(sK6)) )
| ~ $less(sK6,0)
| $less(0,$sum(0,$uminus(sK6)))
| spl36_139
| ~ spl36_197 ),
inference(superposition,[],[f779,f4682]) ).
tff(f4780,plain,
( ~ spl36_108
| ~ spl36_78 ),
inference(avatar_split_clause,[],[f4774,f937,f1379]) ).
tff(f1379,plain,
( spl36_108
<=> $less(sF27,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_108])]) ).
tff(f937,plain,
( spl36_78
<=> $less(1,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_78])]) ).
tff(f4774,plain,
( ~ $less(sF27,0)
| ~ spl36_78 ),
inference(interpreted_simplification,[],[f4773]) ).
tff(f4773,plain,
( ~ $less(sF27,0)
| $less(1,0)
| ~ spl36_78 ),
inference(instantiation,[],[f2708]) ).
tff(f2708,plain,
( ! [X2: $int] :
( ~ $less(sF27,X2)
| $less(1,X2) )
| ~ spl36_78 ),
inference(resolution,[],[f939,f87]) ).
tff(f939,plain,
( $less(1,sF27)
| ~ spl36_78 ),
inference(avatar_component_clause,[],[f937]) ).
tff(f4772,plain,
( spl36_73
| ~ spl36_23
| ~ spl36_116 ),
inference(avatar_split_clause,[],[f4767,f1536,f516,f893]) ).
tff(f893,plain,
( spl36_73
<=> ! [X2: lparray_candidatecm_candidaterp] : ~ $less($sum(sF27,sF15),num_of(X2,sK3,sF27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_73])]) ).
tff(f1536,plain,
( spl36_116
<=> $less(sK3,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_116])]) ).
tff(f4767,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ~ $less($sum(sF27,sF15),num_of(X0,sK3,sF27))
| ~ spl36_23
| ~ spl36_116 ),
inference(resolution,[],[f1538,f833]) ).
tff(f1538,plain,
( $less(sK3,sF27)
| ~ spl36_116 ),
inference(avatar_component_clause,[],[f1536]) ).
tff(f4765,plain,
( spl36_160
| spl36_162
| spl36_8
| spl36_121
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4764,f2152,f1591,f441,f2229,f2215]) ).
tff(f4764,plain,
( ! [X0: $int] :
( $less(X0,sK5)
| $less(0,X0)
| $less(sK6,0) )
| spl36_8
| spl36_121
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4762,f1592]) ).
tff(f4762,plain,
( ! [X0: $int] :
( ( 0 = sK6 )
| $less(X0,sK5)
| $less(0,X0)
| $less(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2253,f282]) ).
tff(f4741,plain,
( ~ spl36_105
| spl36_140
| ~ spl36_11
| ~ spl36_36
| spl36_89
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4740,f2866,f1076,f582,f456,f1905,f1334]) ).
tff(f1905,plain,
( spl36_140
<=> ! [X4: $int] :
( $less(0,X4)
| $less(X4,sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_140])]) ).
tff(f1076,plain,
( spl36_89
<=> $less(sF14,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_89])]) ).
tff(f4740,plain,
( ! [X65: $int] :
( $less(X65,sF14)
| $less(0,X65)
| ~ $less(sK0,sK6) )
| ~ spl36_11
| ~ spl36_36
| spl36_89
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4739,f2868]) ).
tff(f4739,plain,
( ! [X65: $int] :
( ~ $less(sK0,sF24)
| $less(0,X65)
| $less(X65,sF14) )
| ~ spl36_11
| ~ spl36_36
| spl36_89 ),
inference(subsumption_resolution,[],[f4724,f1078]) ).
tff(f1078,plain,
( ~ $less(sF14,0)
| spl36_89 ),
inference(avatar_component_clause,[],[f1076]) ).
tff(f4724,plain,
( ! [X65: $int] :
( ~ $less(sK0,sF24)
| $less(X65,sF14)
| $less(0,X65)
| $less(sF14,0) )
| ~ spl36_11
| ~ spl36_36 ),
inference(superposition,[],[f1289,f584]) ).
tff(f4738,plain,
( ~ spl36_105
| spl36_126
| spl36_6
| ~ spl36_11
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4737,f2866,f2754,f506,f456,f431,f1681,f1334]) ).
tff(f4737,plain,
( ! [X64: $int] :
( $less(X64,sK0)
| $less(0,X64)
| ~ $less(sK0,sK6) )
| spl36_6
| ~ spl36_11
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4736,f2868]) ).
tff(f4736,plain,
( ! [X64: $int] :
( $less(X64,sK0)
| ~ $less(sK0,sF24)
| $less(0,X64) )
| spl36_6
| ~ spl36_11
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4735,f2756]) ).
tff(f4735,plain,
( ! [X64: $int] :
( $less(0,X64)
| $less(X64,sK0)
| ~ $less(sK0,sF29) )
| spl36_6
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f4723,f433]) ).
tff(f4723,plain,
( ! [X64: $int] :
( $less(sK0,0)
| $less(0,X64)
| ~ $less(sK0,sF29)
| $less(X64,sK0) )
| ~ spl36_11
| ~ spl36_21 ),
inference(superposition,[],[f1289,f508]) ).
tff(f4732,plain,
( ~ spl36_105
| spl36_162
| spl36_8
| ~ spl36_11
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4731,f2152,f456,f441,f2229,f1334]) ).
tff(f4731,plain,
( ! [X66: $int] :
( $less(0,X66)
| ~ $less(sK0,sK6)
| $less(X66,sK5) )
| spl36_8
| ~ spl36_11
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4725,f443]) ).
tff(f4725,plain,
( ! [X66: $int] :
( $less(0,X66)
| $less(X66,sK5)
| $less(sK5,0)
| ~ $less(sK0,sK6) )
| ~ spl36_11
| ~ spl36_156 ),
inference(superposition,[],[f1289,f2154]) ).
tff(f4589,plain,
( spl36_170
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4588,f2866,f2754,f506,f431,f2354]) ).
tff(f4588,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_6
| ~ spl36_21
| ~ spl36_189
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4587,f2868]) ).
tff(f4587,plain,
( ( sF24 = $sum(0,sF24) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4586,f2756]) ).
tff(f4586,plain,
( ( $sum(0,sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f4575,f433]) ).
tff(f4575,plain,
( $less(sK0,0)
| ( $sum(0,sF29) = sF29 )
| ~ spl36_21 ),
inference(superposition,[],[f1096,f508]) ).
tff(f4584,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4583,f2152,f441,f2354]) ).
tff(f4583,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4577,f443]) ).
tff(f4577,plain,
( ( sK6 = $sum(0,sK6) )
| $less(sK5,0)
| ~ spl36_156 ),
inference(superposition,[],[f1096,f2154]) ).
tff(f4582,plain,
( spl36_170
| ~ spl36_36
| spl36_89
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4581,f2866,f1076,f582,f2354]) ).
tff(f4581,plain,
( ( sK6 = $sum(0,sK6) )
| ~ spl36_36
| spl36_89
| ~ spl36_197 ),
inference(forward_demodulation,[],[f4580,f2868]) ).
tff(f4580,plain,
( ( sF24 = $sum(0,sF24) )
| ~ spl36_36
| spl36_89 ),
inference(subsumption_resolution,[],[f4576,f1078]) ).
tff(f4576,plain,
( ( sF24 = $sum(0,sF24) )
| $less(sF14,0)
| ~ spl36_36 ),
inference(superposition,[],[f1096,f584]) ).
tff(f4544,plain,
( spl36_262
| ~ spl36_33
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4510,f2866,f567,f4541]) ).
tff(f4510,plain,
( ( $sum(sK6,sF15) = sF25 )
| ~ spl36_33
| ~ spl36_197 ),
inference(superposition,[],[f569,f2868]) ).
tff(f4539,plain,
( ~ spl36_261
| spl36_150
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4520,f2866,f1954,f4536]) ).
tff(f4536,plain,
( spl36_261
<=> $less($sum(sF14,0),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_261])]) ).
tff(f4520,plain,
( ~ $less($sum(sF14,0),sK6)
| spl36_150
| ~ spl36_197 ),
inference(superposition,[],[f1956,f2868]) ).
tff(f4534,plain,
( ~ spl36_160
| spl36_139
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4516,f2866,f1900,f2215]) ).
tff(f4516,plain,
( ~ $less(sK6,0)
| spl36_139
| ~ spl36_197 ),
inference(superposition,[],[f1902,f2868]) ).
tff(f4533,plain,
( ~ spl36_260
| spl36_10
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4509,f2866,f451,f4530]) ).
tff(f4509,plain,
( ~ $less(sK6,sK3)
| spl36_10
| ~ spl36_197 ),
inference(superposition,[],[f453,f2868]) ).
tff(f4528,plain,
( spl36_259
| ~ spl36_56
| ~ spl36_197 ),
inference(avatar_split_clause,[],[f4511,f2866,f696,f4525]) ).
tff(f4511,plain,
( $less(sK3,sK6)
| ~ spl36_56
| ~ spl36_197 ),
inference(superposition,[],[f698,f2868]) ).
tff(f4508,plain,
( ~ spl36_198
| ~ spl36_189
| spl36_191 ),
inference(avatar_split_clause,[],[f4507,f2783,f2754,f2870]) ).
tff(f2870,plain,
( spl36_198
<=> $less(sK6,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_198])]) ).
tff(f2783,plain,
( spl36_191
<=> $less(sK6,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_191])]) ).
tff(f4507,plain,
( ~ $less(sK6,sF24)
| ~ spl36_189
| spl36_191 ),
inference(forward_demodulation,[],[f2784,f2756]) ).
tff(f2784,plain,
( ~ $less(sK6,sF29)
| spl36_191 ),
inference(avatar_component_clause,[],[f2783]) ).
tff(f4506,plain,
( spl36_245
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4505,f2754,f506,f431,f4250]) ).
tff(f4250,plain,
( spl36_245
<=> ( $sum(sF24,0) = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_245])]) ).
tff(f4505,plain,
( ( $sum(sF24,0) = sF24 )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4504,f2756]) ).
tff(f4504,plain,
( ( $sum(sF29,0) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f4494,f433]) ).
tff(f4494,plain,
( ( $sum(sF29,0) = sF29 )
| $less(sK0,0)
| ~ spl36_21 ),
inference(superposition,[],[f1094,f508]) ).
tff(f4502,plain,
( spl36_245
| ~ spl36_36
| spl36_89 ),
inference(avatar_split_clause,[],[f4501,f1076,f582,f4250]) ).
tff(f4501,plain,
( ( $sum(sF24,0) = sF24 )
| ~ spl36_36
| spl36_89 ),
inference(subsumption_resolution,[],[f4495,f1078]) ).
tff(f4495,plain,
( $less(sF14,0)
| ( $sum(sF24,0) = sF24 )
| ~ spl36_36 ),
inference(superposition,[],[f1094,f584]) ).
tff(f4500,plain,
( spl36_169
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4499,f2152,f441,f2309]) ).
tff(f4499,plain,
( ( sK6 = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4496,f443]) ).
tff(f4496,plain,
( $less(sK5,0)
| ( sK6 = $sum(sK6,0) )
| ~ spl36_156 ),
inference(superposition,[],[f1094,f2154]) ).
tff(f4451,plain,
( spl36_254
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4450,f2754,f506,f431,f4378]) ).
tff(f4378,plain,
( spl36_254
<=> ( sF24 = $sum(0,sF24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_254])]) ).
tff(f4450,plain,
( ( sF24 = $sum(0,sF24) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4449,f2756]) ).
tff(f4449,plain,
( ( $sum(0,sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f4441,f433]) ).
tff(f4441,plain,
( $less(sK0,0)
| ( $sum(0,sF29) = sF29 )
| ~ spl36_21 ),
inference(superposition,[],[f1093,f508]) ).
tff(f4448,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4447,f2152,f441,f2354]) ).
tff(f4447,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4443,f443]) ).
tff(f4443,plain,
( ( sK6 = $sum(0,sK6) )
| $less(sK5,0)
| ~ spl36_156 ),
inference(superposition,[],[f1093,f2154]) ).
tff(f4446,plain,
( spl36_254
| ~ spl36_36
| spl36_89 ),
inference(avatar_split_clause,[],[f4445,f1076,f582,f4378]) ).
tff(f4445,plain,
( ( sF24 = $sum(0,sF24) )
| ~ spl36_36
| spl36_89 ),
inference(subsumption_resolution,[],[f4442,f1078]) ).
tff(f4442,plain,
( ( sF24 = $sum(0,sF24) )
| $less(sF14,0)
| ~ spl36_36 ),
inference(superposition,[],[f1093,f584]) ).
tff(f4425,plain,
( ~ spl36_256
| ~ spl36_258
| ~ spl36_78 ),
inference(avatar_split_clause,[],[f4394,f937,f4422,f4413]) ).
tff(f4413,plain,
( spl36_256
<=> $less(sF27,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_256])]) ).
tff(f4422,plain,
( spl36_258
<=> $less($sum(1,$uminus(sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_258])]) ).
tff(f4394,plain,
( ~ $less($sum(1,$uminus(sF27)),0)
| ~ $less(sF27,1)
| ~ spl36_78 ),
inference(superposition,[],[f332,f2707]) ).
tff(f2707,plain,
( ! [X1: lparray_candidatecm_candidaterp] : ( 0 = num_of(X1,sF27,1) )
| ~ spl36_78 ),
inference(resolution,[],[f939,f1283]) ).
tff(f4420,plain,
( spl36_255
| ~ spl36_256
| spl36_257
| ~ spl36_78 ),
inference(avatar_split_clause,[],[f4396,f937,f4417,f4413,f4409]) ).
tff(f4409,plain,
( spl36_255
<=> ( 0 = $sum(1,$uminus(sF27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_255])]) ).
tff(f4417,plain,
( spl36_257
<=> $less(0,$sum(1,$uminus(sF27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_257])]) ).
tff(f4396,plain,
( $less(0,$sum(1,$uminus(sF27)))
| ~ $less(sF27,1)
| ( 0 = $sum(1,$uminus(sF27)) )
| ~ spl36_78 ),
inference(superposition,[],[f779,f2707]) ).
tff(f4384,plain,
( spl36_254
| ~ spl36_36
| ~ spl36_142 ),
inference(avatar_split_clause,[],[f4383,f1913,f582,f4378]) ).
tff(f1913,plain,
( spl36_142
<=> ! [X1: $int] :
( ( num_of(sF23,X1,sF14) = $sum(num_of(sF23,X1,0),sF24) )
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_142])]) ).
tff(f4383,plain,
( ( sF24 = $sum(0,sF24) )
| ~ spl36_36
| ~ spl36_142 ),
inference(forward_demodulation,[],[f4382,f715]) ).
tff(f4382,plain,
( ( sF24 = $sum(num_of(sF23,0,0),sF24) )
| ~ spl36_36
| ~ spl36_142 ),
inference(forward_demodulation,[],[f4365,f584]) ).
tff(f4365,plain,
( ( $sum(num_of(sF23,0,0),sF24) = num_of(sF23,0,sF14) )
| ~ spl36_142 ),
inference(interpreted_simplification,[],[f4364]) ).
tff(f4364,plain,
( $less(0,0)
| ( $sum(num_of(sF23,0,0),sF24) = num_of(sF23,0,sF14) )
| ~ spl36_142 ),
inference(instantiation,[],[f1914]) ).
tff(f1914,plain,
( ! [X1: $int] :
( $less(0,X1)
| ( num_of(sF23,X1,sF14) = $sum(num_of(sF23,X1,0),sF24) ) )
| ~ spl36_142 ),
inference(avatar_component_clause,[],[f1913]) ).
tff(f4381,plain,
( spl36_254
| ~ spl36_36
| ~ spl36_142 ),
inference(avatar_split_clause,[],[f4376,f1913,f582,f4378]) ).
tff(f4376,plain,
( ( sF24 = $sum(0,sF24) )
| ~ spl36_36
| ~ spl36_142 ),
inference(forward_demodulation,[],[f4375,f715]) ).
tff(f4375,plain,
( ( sF24 = $sum(num_of(sF23,0,0),sF24) )
| ~ spl36_36
| ~ spl36_142 ),
inference(forward_demodulation,[],[f4370,f584]) ).
tff(f4370,plain,
( ( $sum(num_of(sF23,0,0),sF24) = num_of(sF23,0,sF14) )
| ~ spl36_142 ),
inference(resolution,[],[f1914,f86]) ).
tff(f4363,plain,
( ~ spl36_160
| ~ spl36_165 ),
inference(avatar_split_clause,[],[f4357,f2264,f2215]) ).
tff(f4357,plain,
( ~ $less(sK6,0)
| ~ spl36_165 ),
inference(interpreted_simplification,[],[f4356]) ).
tff(f4356,plain,
( ~ $less(sK6,0)
| $less(1,0)
| ~ spl36_165 ),
inference(instantiation,[],[f4177]) ).
tff(f4340,plain,
( ~ spl36_253
| ~ spl36_229
| ~ spl36_165 ),
inference(avatar_split_clause,[],[f4311,f2264,f3963,f4337]) ).
tff(f4337,plain,
( spl36_253
<=> $less($sum(1,$uminus(sK6)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_253])]) ).
tff(f4311,plain,
( ~ $less(sK6,1)
| ~ $less($sum(1,$uminus(sK6)),0)
| ~ spl36_165 ),
inference(superposition,[],[f332,f4176]) ).
tff(f4176,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,sK6,1) )
| ~ spl36_165 ),
inference(resolution,[],[f2265,f1283]) ).
tff(f4333,plain,
( spl36_251
| ~ spl36_229
| spl36_252
| ~ spl36_165 ),
inference(avatar_split_clause,[],[f4313,f2264,f4330,f3963,f4326]) ).
tff(f4326,plain,
( spl36_251
<=> $less(0,$sum(1,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_251])]) ).
tff(f4330,plain,
( spl36_252
<=> ( 0 = $sum(1,$uminus(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_252])]) ).
tff(f4313,plain,
( ( 0 = $sum(1,$uminus(sK6)) )
| ~ $less(sK6,1)
| $less(0,$sum(1,$uminus(sK6)))
| ~ spl36_165 ),
inference(superposition,[],[f779,f4176]) ).
tff(f4305,plain,
( spl36_248
| spl36_249
| spl36_250
| ~ spl36_14
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f4282,f516,f471,f4302,f4299,f4295]) ).
tff(f4302,plain,
( spl36_250
<=> ( sF14 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_250])]) ).
tff(f4282,plain,
( ! [X0: lparray_candidatecm_candidaterp] :
( ( sF14 = sK3 )
| ~ $less(sF16,num_of(X0,sK3,sF14))
| $less(sF14,sK3) )
| ~ spl36_14
| ~ spl36_23 ),
inference(superposition,[],[f886,f473]) ).
tff(f4293,plain,
( spl36_205
| spl36_247
| ~ spl36_203
| spl36_22
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f4285,f516,f511,f3458,f4290,f3467]) ).
tff(f3458,plain,
( spl36_203
<=> $less($sum(-1,sF15),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_203])]) ).
tff(f511,plain,
( spl36_22
<=> $less(sK3,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_22])]) ).
tff(f4285,plain,
( ~ $less($sum(-1,sF15),0)
| ( -1 = sK3 )
| $less(-1,sK3)
| spl36_22
| ~ spl36_23 ),
inference(superposition,[],[f886,f3292]) ).
tff(f3292,plain,
( ! [X129: lparray_candidatecm_candidaterp] : ( 0 = num_of(X129,sK3,-1) )
| spl36_22 ),
inference(interpreted_simplification,[],[f3291]) ).
tff(f3291,plain,
( ! [X129: lparray_candidatecm_candidaterp] :
( $less(0,-1)
| ( 0 = num_of(X129,sK3,-1) ) )
| spl36_22 ),
inference(instantiation,[],[f3003]) ).
tff(f3003,plain,
( ! [X130: $int,X129: lparray_candidatecm_candidaterp] :
( $less(0,X130)
| ( 0 = num_of(X129,sK3,X130) ) )
| spl36_22 ),
inference(resolution,[],[f2967,f513]) ).
tff(f513,plain,
( ~ $less(sK3,0)
| spl36_22 ),
inference(avatar_component_clause,[],[f511]) ).
tff(f4274,plain,
( spl36_245
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4273,f2754,f683,f521,f506,f431,f4250]) ).
tff(f521,plain,
( spl36_24
<=> $less(sK0,sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_24])]) ).
tff(f683,plain,
( spl36_53
<=> ( sK0 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_53])]) ).
tff(f4273,plain,
( ( $sum(sF24,0) = sF24 )
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4272,f2756]) ).
tff(f4272,plain,
( ( $sum(sF24,0) = sF29 )
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4271,f508]) ).
tff(f4271,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4270,f685]) ).
tff(f685,plain,
( ( sK0 = sF30 )
| ~ spl36_53 ),
inference(avatar_component_clause,[],[f683]) ).
tff(f4270,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sF30) )
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(subsumption_resolution,[],[f4269,f86]) ).
tff(f4269,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sF30) )
| $less(sK0,sK0)
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_53
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4237,f685]) ).
tff(f4237,plain,
( $less(sF30,sK0)
| ( $sum(sF24,0) = num_of(sF23,0,sF30) )
| spl36_6
| ~ spl36_21
| spl36_24
| ~ spl36_189 ),
inference(resolution,[],[f4106,f523]) ).
tff(f523,plain,
( ~ $less(sK0,sF30)
| spl36_24 ),
inference(avatar_component_clause,[],[f521]) ).
tff(f4268,plain,
( spl36_201
| spl36_246
| spl36_6
| ~ spl36_21
| spl36_65
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4239,f2754,f772,f506,f431,f4265,f3331]) ).
tff(f4265,plain,
( spl36_246
<=> ( $sum(sF24,0) = num_of(sF23,0,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_246])]) ).
tff(f4239,plain,
( ( $sum(sF24,0) = num_of(sF23,0,-1) )
| $less(-1,sK0)
| spl36_6
| ~ spl36_21
| spl36_65
| ~ spl36_189 ),
inference(resolution,[],[f4106,f774]) ).
tff(f4263,plain,
( spl36_245
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4262,f2754,f506,f431,f4250]) ).
tff(f4262,plain,
( ( $sum(sF24,0) = sF24 )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4261,f2756]) ).
tff(f4261,plain,
( ( $sum(sF24,0) = sF29 )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4260,f508]) ).
tff(f4260,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(subsumption_resolution,[],[f4245,f86]) ).
tff(f4245,plain,
( $less(sK0,sK0)
| ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(factoring,[],[f4106]) ).
tff(f4259,plain,
( spl36_245
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4258,f2754,f663,f506,f496,f431,f4250]) ).
tff(f496,plain,
( spl36_19
<=> $less(sK0,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_19])]) ).
tff(f663,plain,
( spl36_49
<=> ( sK0 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_49])]) ).
tff(f4258,plain,
( ( $sum(sF24,0) = sF24 )
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(subsumption_resolution,[],[f4257,f86]) ).
tff(f4257,plain,
( ( $sum(sF24,0) = sF24 )
| $less(sK0,sK0)
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4256,f665]) ).
tff(f665,plain,
( ( sK0 = sF35 )
| ~ spl36_49 ),
inference(avatar_component_clause,[],[f663]) ).
tff(f4256,plain,
( ( $sum(sF24,0) = sF24 )
| $less(sF35,sK0)
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4255,f2756]) ).
tff(f4255,plain,
( ( $sum(sF24,0) = sF29 )
| $less(sF35,sK0)
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4254,f508]) ).
tff(f4254,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| $less(sF35,sK0)
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_49
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4238,f665]) ).
tff(f4238,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sF35) )
| $less(sF35,sK0)
| spl36_6
| spl36_19
| ~ spl36_21
| ~ spl36_189 ),
inference(resolution,[],[f4106,f498]) ).
tff(f498,plain,
( ~ $less(sK0,sF35)
| spl36_19 ),
inference(avatar_component_clause,[],[f496]) ).
tff(f4253,plain,
( spl36_245
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f4248,f2754,f506,f431,f4250]) ).
tff(f4248,plain,
( ( $sum(sF24,0) = sF24 )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4247,f2756]) ).
tff(f4247,plain,
( ( $sum(sF24,0) = sF29 )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(forward_demodulation,[],[f4246,f508]) ).
tff(f4246,plain,
( ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(subsumption_resolution,[],[f4240,f86]) ).
tff(f4240,plain,
( $less(sK0,sK0)
| ( $sum(sF24,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21
| ~ spl36_189 ),
inference(resolution,[],[f4106,f86]) ).
tff(f4216,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4215,f2152,f441,f2354]) ).
tff(f4215,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4207,f2154]) ).
tff(f4207,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(evaluation,[],[f4206]) ).
tff(f4206,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| $less(0,0)
| spl36_8
| ~ spl36_156 ),
inference(factoring,[],[f2342]) ).
tff(f4214,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4213,f2152,f441,f2354]) ).
tff(f4213,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4196,f2154]) ).
tff(f4196,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(interpreted_simplification,[],[f4195]) ).
tff(f4195,plain,
( $less(0,0)
| $less(0,0)
| ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(instantiation,[],[f2342]) ).
tff(f4210,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4209,f2152,f441,f2354]) ).
tff(f4209,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4208,f2154]) ).
tff(f4208,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(evaluation,[],[f4201]) ).
tff(f4201,plain,
( $less(0,0)
| ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(resolution,[],[f2342,f86]) ).
tff(f4193,plain,
( spl36_169
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4192,f2152,f441,f2309]) ).
tff(f4192,plain,
( ( sK6 = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4191,f2154]) ).
tff(f4191,plain,
( ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4187,f86]) ).
tff(f4187,plain,
( $less(sK5,sK5)
| ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(factoring,[],[f2304]) ).
tff(f2304,plain,
( ! [X0: $int] :
( $less(sK5,X0)
| $less(X0,sK5)
| ( num_of(sF23,0,X0) = $sum(sK6,0) ) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2245,f282]) ).
tff(f4190,plain,
( spl36_169
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4189,f2152,f441,f2309]) ).
tff(f4189,plain,
( ( sK6 = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f4188,f2154]) ).
tff(f4188,plain,
( ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f4182,f86]) ).
tff(f4182,plain,
( $less(sK5,sK5)
| ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(resolution,[],[f2304,f86]) ).
tff(f4161,plain,
( spl36_243
| ~ spl36_239
| spl36_244
| spl36_26 ),
inference(avatar_split_clause,[],[f4119,f531,f4158,f4137,f4154]) ).
tff(f4154,plain,
( spl36_243
<=> ( 0 = $sum(-1,$uminus(sF13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_243])]) ).
tff(f4158,plain,
( spl36_244
<=> $less(0,$sum(-1,$uminus(sF13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_244])]) ).
tff(f531,plain,
( spl36_26
<=> $less(sF13,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_26])]) ).
tff(f4119,plain,
( $less(0,$sum(-1,$uminus(sF13)))
| ~ $less(sF13,-1)
| ( 0 = $sum(-1,$uminus(sF13)) )
| spl36_26 ),
inference(superposition,[],[f779,f4080]) ).
tff(f4080,plain,
( ! [X177: lparray_candidatecm_candidaterp] : ( 0 = num_of(X177,sF13,-1) )
| spl36_26 ),
inference(interpreted_simplification,[],[f4079]) ).
tff(f4079,plain,
( ! [X177: lparray_candidatecm_candidaterp] :
( $less(0,-1)
| ( 0 = num_of(X177,sF13,-1) ) )
| spl36_26 ),
inference(instantiation,[],[f3015]) ).
tff(f3015,plain,
( ! [X178: $int,X177: lparray_candidatecm_candidaterp] :
( $less(0,X178)
| ( 0 = num_of(X177,sF13,X178) ) )
| spl36_26 ),
inference(resolution,[],[f2967,f533]) ).
tff(f533,plain,
( ~ $less(sF13,0)
| spl36_26 ),
inference(avatar_component_clause,[],[f531]) ).
tff(f4152,plain,
( spl36_242
| spl36_240
| spl36_26 ),
inference(avatar_split_clause,[],[f4112,f531,f4142,f4150]) ).
tff(f4150,plain,
( spl36_242
<=> ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( num_of(X0,sF13,X1) = $sum(0,num_of(X0,-1,X1)) )
| $less(X1,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_242])]) ).
tff(f4112,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(-1,sF13)
| ( num_of(X0,sF13,X1) = $sum(0,num_of(X0,-1,X1)) )
| $less(X1,-1) )
| spl36_26 ),
inference(superposition,[],[f267,f4080]) ).
tff(f4148,plain,
( spl36_240
| spl36_241
| spl36_26 ),
inference(avatar_split_clause,[],[f4113,f531,f4146,f4142]) ).
tff(f4146,plain,
( spl36_241
<=> ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( num_of(X2,X3,-1) = $sum(num_of(X2,X3,sF13),0) )
| $less(sF13,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_241])]) ).
tff(f4113,plain,
( ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( num_of(X2,X3,-1) = $sum(num_of(X2,X3,sF13),0) )
| $less(-1,sF13)
| $less(sF13,X3) )
| spl36_26 ),
inference(superposition,[],[f267,f4080]) ).
tff(f4140,plain,
( ~ spl36_238
| ~ spl36_239
| spl36_26 ),
inference(avatar_split_clause,[],[f4117,f531,f4137,f4133]) ).
tff(f4133,plain,
( spl36_238
<=> $less($sum(-1,$uminus(sF13)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_238])]) ).
tff(f4117,plain,
( ~ $less(sF13,-1)
| ~ $less($sum(-1,$uminus(sF13)),0)
| spl36_26 ),
inference(superposition,[],[f332,f4080]) ).
tff(f4105,plain,
( spl36_236
| spl36_237 ),
inference(avatar_split_clause,[],[f4098,f4103,f4100]) ).
tff(f4100,plain,
( spl36_236
<=> ! [X2: $int] :
( $less(X2,0)
| $less(-2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_236])]) ).
tff(f4103,plain,
( spl36_237
<=> ! [X1: lparray_candidatecm_candidaterp] : ( 0 = num_of(X1,-2,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_237])]) ).
tff(f4098,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp] :
( ( 0 = num_of(X1,-2,-1) )
| $less(X2,0)
| $less(-2,X2) ),
inference(evaluation,[],[f4091]) ).
tff(f4091,plain,
! [X2: $int,X1: lparray_candidatecm_candidaterp] :
( $less(X2,0)
| $less(-2,X2)
| $less(0,-2)
| ( 0 = num_of(X1,-2,-1) ) ),
inference(resolution,[],[f3352,f806]) ).
tff(f3352,plain,
! [X14: lparray_candidatecm_candidaterp] :
( $less(0,num_of(X14,-2,0))
| ( 0 = num_of(X14,-2,-1) ) ),
inference(forward_demodulation,[],[f3351,f789]) ).
tff(f3351,plain,
! [X14: lparray_candidatecm_candidaterp] :
( $less(num_of(X14,-2,-2),num_of(X14,-2,0))
| ( 0 = num_of(X14,-2,-1) ) ),
inference(forward_demodulation,[],[f3348,f789]) ).
tff(f3348,plain,
! [X14: lparray_candidatecm_candidaterp] :
( ( num_of(X14,-2,-1) = num_of(X14,-2,-2) )
| $less(num_of(X14,-2,-2),num_of(X14,-2,0)) ),
inference(evaluation,[],[f3340]) ).
tff(f3340,plain,
! [X14: lparray_candidatecm_candidaterp] :
( $less(num_of(X14,-2,-2),num_of(X14,-2,0))
| ( num_of(X14,-2,$sum(-1,-1)) = num_of(X14,-2,-1) ) ),
inference(interpreted_simplification,[],[f3339]) ).
tff(f3339,plain,
! [X14: lparray_candidatecm_candidaterp] :
( $less($sum(-1,-1),-2)
| $less(-2,-2)
| ( num_of(X14,-2,$sum(-1,-1)) = num_of(X14,-2,-1) )
| $less(num_of(X14,-2,-2),num_of(X14,-2,0))
| ~ $less(-2,-1)
| ~ $less($sum(-1,-1),0) ),
inference(instantiation,[],[f1109]) ).
tff(f1109,plain,
! [X10: $int,X11: $int,X14: lparray_candidatecm_candidaterp,X15: $int,X12: $int,X13: $int] :
( $less($sum(X12,-1),X10)
| $less(X10,X11)
| ( num_of(X14,X15,$sum(X12,-1)) = num_of(X14,X15,X12) )
| $less(num_of(X14,X11,X10),num_of(X14,X11,X13))
| ~ $less(X15,X12)
| ~ $less($sum(X12,-1),X13) ),
inference(resolution,[],[f315,f404]) ).
tff(f4078,plain,
( spl36_200
| ~ spl36_148 ),
inference(avatar_split_clause,[],[f4064,f1943,f2941]) ).
tff(f2941,plain,
( spl36_200
<=> ! [X36: $int] :
( $less(X36,sF14)
| ( sF24 = num_of(sF23,0,X36) )
| $less(sF24,num_of(sF23,0,X36)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_200])]) ).
tff(f4064,plain,
( ! [X9: $int] :
( $less(sF24,num_of(sF23,0,X9))
| $less(X9,sF14)
| ( sF24 = num_of(sF23,0,X9) ) )
| ~ spl36_148 ),
inference(resolution,[],[f1944,f88]) ).
tff(f4077,plain,
( ~ spl36_115
| spl36_140
| ~ spl36_148 ),
inference(avatar_split_clause,[],[f4070,f1943,f1905,f1525]) ).
tff(f1525,plain,
( spl36_115
<=> $less(0,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_115])]) ).
tff(f4070,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(0,sF24)
| $less(X0,sF14) )
| ~ spl36_148 ),
inference(superposition,[],[f1944,f282]) ).
tff(f4076,plain,
( spl36_235
| ~ spl36_198
| ~ spl36_148
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f4067,f2152,f1943,f2870,f4073]) ).
tff(f4067,plain,
( ~ $less(sK6,sF24)
| $less(sK5,sF14)
| ~ spl36_148
| ~ spl36_156 ),
inference(superposition,[],[f1944,f2154]) ).
tff(f4056,plain,
( ~ spl36_231
| ~ spl36_234
| ~ spl36_63 ),
inference(avatar_split_clause,[],[f4025,f752,f4053,f4040]) ).
tff(f4040,plain,
( spl36_231
<=> $less(sF27,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_231])]) ).
tff(f4053,plain,
( spl36_234
<=> $less($sum(sK5,$uminus(sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_234])]) ).
tff(f752,plain,
( spl36_63
<=> $less(sK5,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_63])]) ).
tff(f4025,plain,
( ~ $less($sum(sK5,$uminus(sF27)),0)
| ~ $less(sF27,sK5)
| ~ spl36_63 ),
inference(superposition,[],[f332,f2690]) ).
tff(f2690,plain,
( ! [X1: lparray_candidatecm_candidaterp] : ( 0 = num_of(X1,sF27,sK5) )
| ~ spl36_63 ),
inference(resolution,[],[f754,f1283]) ).
tff(f754,plain,
( $less(sK5,sF27)
| ~ spl36_63 ),
inference(avatar_component_clause,[],[f752]) ).
tff(f4051,plain,
( ~ spl36_231
| spl36_232
| spl36_233
| ~ spl36_63 ),
inference(avatar_split_clause,[],[f4027,f752,f4048,f4044,f4040]) ).
tff(f4044,plain,
( spl36_232
<=> $less(0,$sum(sK5,$uminus(sF27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_232])]) ).
tff(f4048,plain,
( spl36_233
<=> ( 0 = $sum(sK5,$uminus(sF27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_233])]) ).
tff(f4027,plain,
( ( 0 = $sum(sK5,$uminus(sF27)) )
| $less(0,$sum(sK5,$uminus(sF27)))
| ~ $less(sF27,sK5)
| ~ spl36_63 ),
inference(superposition,[],[f779,f2690]) ).
tff(f3976,plain,
( spl36_230
| ~ spl36_34
| ~ spl36_53
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3971,f2779,f683,f572,f3973]) ).
tff(f572,plain,
( spl36_34
<=> ( $product(2,sF29) = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_34])]) ).
tff(f3971,plain,
( ( sK0 = $product(2,sK6) )
| ~ spl36_34
| ~ spl36_53
| ~ spl36_190 ),
inference(forward_demodulation,[],[f3939,f685]) ).
tff(f3939,plain,
( ( sF30 = $product(2,sK6) )
| ~ spl36_34
| ~ spl36_190 ),
inference(superposition,[],[f574,f2781]) ).
tff(f574,plain,
( ( $product(2,sF29) = sF30 )
| ~ spl36_34 ),
inference(avatar_component_clause,[],[f572]) ).
tff(f3970,plain,
( ~ spl36_198
| spl36_143
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3948,f2779,f1918,f2870]) ).
tff(f1918,plain,
( spl36_143
<=> $less(sF29,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_143])]) ).
tff(f3948,plain,
( ~ $less(sK6,sF24)
| spl36_143
| ~ spl36_190 ),
inference(superposition,[],[f1920,f2781]) ).
tff(f1920,plain,
( ~ $less(sF29,sF24)
| spl36_143 ),
inference(avatar_component_clause,[],[f1918]) ).
tff(f3969,plain,
( spl36_165
| ~ spl36_131
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3946,f2779,f1719,f2264]) ).
tff(f1719,plain,
( spl36_131
<=> $less(1,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_131])]) ).
tff(f3946,plain,
( $less(1,sK6)
| ~ spl36_131
| ~ spl36_190 ),
inference(superposition,[],[f1720,f2781]) ).
tff(f1720,plain,
( $less(1,sF29)
| ~ spl36_131 ),
inference(avatar_component_clause,[],[f1719]) ).
tff(f3968,plain,
( ~ spl36_160
| spl36_124
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3941,f2779,f1671,f2215]) ).
tff(f1671,plain,
( spl36_124
<=> $less(sF29,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_124])]) ).
tff(f3941,plain,
( ~ $less(sK6,0)
| spl36_124
| ~ spl36_190 ),
inference(superposition,[],[f1673,f2781]) ).
tff(f1673,plain,
( ~ $less(sF29,0)
| spl36_124 ),
inference(avatar_component_clause,[],[f1671]) ).
tff(f3967,plain,
( spl36_197
| ~ spl36_189
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3953,f2779,f2754,f2866]) ).
tff(f3953,plain,
( ( sF24 = sK6 )
| ~ spl36_189
| ~ spl36_190 ),
inference(superposition,[],[f2756,f2781]) ).
tff(f3966,plain,
( ~ spl36_229
| spl36_132
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3947,f2779,f1740,f3963]) ).
tff(f3947,plain,
( ~ $less(sK6,1)
| spl36_132
| ~ spl36_190 ),
inference(superposition,[],[f1742,f2781]) ).
tff(f3961,plain,
( spl36_197
| ~ spl36_189
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3938,f2779,f2754,f2866]) ).
tff(f3938,plain,
( ( sF24 = sK6 )
| ~ spl36_189
| ~ spl36_190 ),
inference(superposition,[],[f2781,f2756]) ).
tff(f3960,plain,
( ~ spl36_228
| spl36_127
| ~ spl36_190 ),
inference(avatar_split_clause,[],[f3943,f2779,f1690,f3957]) ).
tff(f1690,plain,
( spl36_127
<=> $less($sum(sK0,0),sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_127])]) ).
tff(f3943,plain,
( ~ $less($sum(sK0,0),sK6)
| spl36_127
| ~ spl36_190 ),
inference(superposition,[],[f1692,f2781]) ).
tff(f1692,plain,
( ~ $less($sum(sK0,0),sF29)
| spl36_127 ),
inference(avatar_component_clause,[],[f1690]) ).
tff(f3937,plain,
( ~ spl36_227
| spl36_132
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f3908,f2754,f1740,f3934]) ).
tff(f3908,plain,
( ~ $less(sF24,1)
| spl36_132
| ~ spl36_189 ),
inference(superposition,[],[f1742,f2756]) ).
tff(f3932,plain,
( ~ spl36_226
| spl36_127
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f3904,f2754,f1690,f3929]) ).
tff(f3904,plain,
( ~ $less($sum(sK0,0),sF24)
| spl36_127
| ~ spl36_189 ),
inference(superposition,[],[f1692,f2756]) ).
tff(f3927,plain,
( spl36_225
| ~ spl36_34
| ~ spl36_53
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f3922,f2754,f683,f572,f3924]) ).
tff(f3922,plain,
( ( sK0 = $product(2,sF24) )
| ~ spl36_34
| ~ spl36_53
| ~ spl36_189 ),
inference(forward_demodulation,[],[f3900,f685]) ).
tff(f3900,plain,
( ( sF30 = $product(2,sF24) )
| ~ spl36_34
| ~ spl36_189 ),
inference(superposition,[],[f574,f2756]) ).
tff(f3921,plain,
( spl36_224
| ~ spl36_131
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f3907,f2754,f1719,f3918]) ).
tff(f3918,plain,
( spl36_224
<=> $less(1,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_224])]) ).
tff(f3907,plain,
( $less(1,sF24)
| ~ spl36_131
| ~ spl36_189 ),
inference(superposition,[],[f1720,f2756]) ).
tff(f3916,plain,
( spl36_115
| ~ spl36_125
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f3903,f2754,f1677,f1525]) ).
tff(f1677,plain,
( spl36_125
<=> $less(0,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_125])]) ).
tff(f3903,plain,
( $less(0,sF24)
| ~ spl36_125
| ~ spl36_189 ),
inference(superposition,[],[f1678,f2756]) ).
tff(f1678,plain,
( $less(0,sF29)
| ~ spl36_125 ),
inference(avatar_component_clause,[],[f1677]) ).
tff(f3880,plain,
( ~ spl36_213
| ~ spl36_166 ),
inference(avatar_split_clause,[],[f3873,f2268,f3715]) ).
tff(f3715,plain,
( spl36_213
<=> $less(sK5,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_213])]) ).
tff(f3873,plain,
( ~ $less(sK5,-1)
| ~ spl36_166 ),
inference(interpreted_simplification,[],[f3872]) ).
tff(f3872,plain,
( $less(1,-1)
| ~ $less(sK5,-1)
| ~ spl36_166 ),
inference(instantiation,[],[f3822]) ).
tff(f3871,plain,
( ~ spl36_223
| spl36_77
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f3866,f2152,f932,f3868]) ).
tff(f3866,plain,
( ~ $less(sK6,num_of(sF23,0,1))
| spl36_77
| ~ spl36_156 ),
inference(evaluation,[],[f3861]) ).
tff(f3861,plain,
( ~ $less(sK6,num_of(sF23,0,1))
| $less(1,0)
| spl36_77
| ~ spl36_156 ),
inference(resolution,[],[f933,f2195]) ).
tff(f3860,plain,
( spl36_221
| spl36_222
| ~ spl36_77
| ~ spl36_166 ),
inference(avatar_split_clause,[],[f3830,f2268,f932,f3857,f3853]) ).
tff(f3853,plain,
( spl36_221
<=> $less(0,$sum(1,$uminus(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_221])]) ).
tff(f3857,plain,
( spl36_222
<=> ( 0 = $sum(1,$uminus(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_222])]) ).
tff(f3830,plain,
( ~ $less(sK5,1)
| ( 0 = $sum(1,$uminus(sK5)) )
| $less(0,$sum(1,$uminus(sK5)))
| ~ spl36_166 ),
inference(superposition,[],[f779,f3821]) ).
tff(f3821,plain,
( ! [X4: lparray_candidatecm_candidaterp] : ( 0 = num_of(X4,sK5,1) )
| ~ spl36_166 ),
inference(resolution,[],[f2270,f1283]) ).
tff(f3851,plain,
( ~ spl36_77
| ~ spl36_220
| ~ spl36_166 ),
inference(avatar_split_clause,[],[f3828,f2268,f3848,f932]) ).
tff(f3848,plain,
( spl36_220
<=> $less($sum(1,$uminus(sK5)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_220])]) ).
tff(f3828,plain,
( ~ $less($sum(1,$uminus(sK5)),0)
| ~ $less(sK5,1)
| ~ spl36_166 ),
inference(superposition,[],[f332,f3821]) ).
tff(f3814,plain,
( ~ spl36_219
| ~ spl36_131 ),
inference(avatar_split_clause,[],[f3804,f1719,f3811]) ).
tff(f3804,plain,
( ~ $less(sF29,-1)
| ~ spl36_131 ),
inference(interpreted_simplification,[],[f3803]) ).
tff(f3803,plain,
( ~ $less(sF29,-1)
| $less(1,-1)
| ~ spl36_131 ),
inference(instantiation,[],[f3767]) ).
tff(f3767,plain,
( ! [X5: $int] :
( ~ $less(sF29,X5)
| $less(1,X5) )
| ~ spl36_131 ),
inference(resolution,[],[f1720,f87]) ).
tff(f3775,plain,
( spl36_184
| ~ spl36_12
| ~ spl36_154 ),
inference(avatar_split_clause,[],[f3774,f2056,f461,f2595]) ).
tff(f2595,plain,
( spl36_184
<=> ( sF22 = tuple21(sF17,candidate1,sF19,tuple2_proj_2(sF17,candidate1,sF22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_184])]) ).
tff(f2056,plain,
( spl36_154
<=> ( sF19 = tuple2_proj_1(sF17,candidate1,sF22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_154])]) ).
tff(f3774,plain,
( ( sF22 = tuple21(sF17,candidate1,sF19,tuple2_proj_2(sF17,candidate1,sF22)) )
| ~ spl36_12
| ~ spl36_154 ),
inference(subsumption_resolution,[],[f3772,f815]) ).
tff(f815,plain,
( ! [X0: uni] : sort(tuple2(sF17,candidate1),X0)
| ~ spl36_12 ),
inference(superposition,[],[f624,f463]) ).
tff(f624,plain,
! [X0: uni] : sort(tuple2(array(candidate1),candidate1),X0),
inference(superposition,[],[f336,f330]) ).
tff(f330,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).
tff(f336,plain,
! [X0: lparray_candidatecm_candidaterp] : sort(tuple2(array(candidate1),candidate1),t2tb1(X0)),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: lparray_candidatecm_candidaterp] : sort(tuple2(array(candidate1),candidate1),t2tb1(X0)),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X1: lparray_candidatecm_candidaterp] : sort(tuple2(array(candidate1),candidate1),t2tb1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort1) ).
tff(f3772,plain,
( ( sF22 = tuple21(sF17,candidate1,sF19,tuple2_proj_2(sF17,candidate1,sF22)) )
| ~ sort(tuple2(sF17,candidate1),sF22)
| ~ spl36_154 ),
inference(superposition,[],[f345,f2058]) ).
tff(f2058,plain,
( ( sF19 = tuple2_proj_1(sF17,candidate1,sF22) )
| ~ spl36_154 ),
inference(avatar_component_clause,[],[f2056]) ).
tff(f345,plain,
! [X2: uni,X0: ty,X1: ty] :
( ( tuple21(X1,X0,tuple2_proj_1(X1,X0,X2),tuple2_proj_2(X1,X0,X2)) = X2 )
| ~ sort(tuple2(X1,X0),X2) ),
inference(cnf_transformation,[],[f249]) ).
tff(f249,plain,
! [X0: ty,X1: ty,X2: uni] :
( ~ sort(tuple2(X1,X0),X2)
| ( tuple21(X1,X0,tuple2_proj_1(X1,X0,X2),tuple2_proj_2(X1,X0,X2)) = X2 ) ),
inference(rectify,[],[f168]) ).
tff(f168,plain,
! [X2: ty,X0: ty,X1: uni] :
( ~ sort(tuple2(X0,X2),X1)
| ( tuple21(X0,X2,tuple2_proj_1(X0,X2,X1),tuple2_proj_2(X0,X2,X1)) = X1 ) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
! [X2: ty,X1: uni,X0: ty] :
( sort(tuple2(X0,X2),X1)
=> ( tuple21(X0,X2,tuple2_proj_1(X0,X2,X1),tuple2_proj_2(X0,X2,X1)) = X1 ) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X10: ty,X6: uni,X0: ty] :
( sort(tuple2(X10,X0),X6)
=> ( tuple21(X10,X0,tuple2_proj_1(X10,X0,X6),tuple2_proj_2(X10,X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_inversion) ).
tff(f3740,plain,
( spl36_218
| spl36_214
| spl36_8 ),
inference(avatar_split_clause,[],[f3686,f441,f3720,f3738]) ).
tff(f3738,plain,
( spl36_218
<=> ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,-1)
| ( num_of(X0,sK5,X1) = $sum(0,num_of(X0,-1,X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_218])]) ).
tff(f3686,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(-1,sK5)
| $less(X1,-1)
| ( num_of(X0,sK5,X1) = $sum(0,num_of(X0,-1,X1)) ) )
| spl36_8 ),
inference(superposition,[],[f267,f3564]) ).
tff(f3564,plain,
( ! [X138: lparray_candidatecm_candidaterp] : ( 0 = num_of(X138,sK5,-1) )
| spl36_8 ),
inference(interpreted_simplification,[],[f3563]) ).
tff(f3563,plain,
( ! [X138: lparray_candidatecm_candidaterp] :
( $less(0,-1)
| ( 0 = num_of(X138,sK5,-1) ) )
| spl36_8 ),
inference(instantiation,[],[f3006]) ).
tff(f3006,plain,
( ! [X138: lparray_candidatecm_candidaterp,X139: $int] :
( $less(0,X139)
| ( 0 = num_of(X138,sK5,X139) ) )
| spl36_8 ),
inference(resolution,[],[f2967,f443]) ).
tff(f3736,plain,
( ~ spl36_213
| ~ spl36_217
| spl36_8 ),
inference(avatar_split_clause,[],[f3691,f441,f3733,f3715]) ).
tff(f3733,plain,
( spl36_217
<=> $less($sum(-1,$uminus(sK5)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_217])]) ).
tff(f3691,plain,
( ~ $less($sum(-1,$uminus(sK5)),0)
| ~ $less(sK5,-1)
| spl36_8 ),
inference(superposition,[],[f332,f3564]) ).
tff(f3731,plain,
( spl36_214
| spl36_216
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f3705,f2152,f441,f3728,f3720]) ).
tff(f3728,plain,
( spl36_216
<=> ( num_of(sF23,0,-1) = $sum(sK6,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_216])]) ).
tff(f3705,plain,
( ( num_of(sF23,0,-1) = $sum(sK6,0) )
| $less(-1,sK5)
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2245,f3564]) ).
tff(f3726,plain,
( spl36_214
| spl36_215
| spl36_8 ),
inference(avatar_split_clause,[],[f3687,f441,f3724,f3720]) ).
tff(f3724,plain,
( spl36_215
<=> ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( $less(sK5,X3)
| ( $sum(num_of(X2,X3,sK5),0) = num_of(X2,X3,-1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_215])]) ).
tff(f3687,plain,
( ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( $less(sK5,X3)
| ( $sum(num_of(X2,X3,sK5),0) = num_of(X2,X3,-1) )
| $less(-1,sK5) )
| spl36_8 ),
inference(superposition,[],[f267,f3564]) ).
tff(f3718,plain,
( spl36_211
| spl36_212
| ~ spl36_213
| spl36_8 ),
inference(avatar_split_clause,[],[f3693,f441,f3715,f3711,f3707]) ).
tff(f3707,plain,
( spl36_211
<=> ( 0 = $sum(-1,$uminus(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_211])]) ).
tff(f3711,plain,
( spl36_212
<=> $less(0,$sum(-1,$uminus(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_212])]) ).
tff(f3693,plain,
( ~ $less(sK5,-1)
| $less(0,$sum(-1,$uminus(sK5)))
| ( 0 = $sum(-1,$uminus(sK5)) )
| spl36_8 ),
inference(superposition,[],[f779,f3564]) ).
tff(f3620,plain,
( spl36_131
| spl36_210
| spl36_132 ),
inference(avatar_split_clause,[],[f3615,f1740,f3617,f1719]) ).
tff(f3617,plain,
( spl36_210
<=> ( 1 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_210])]) ).
tff(f3615,plain,
( ( 1 = sF29 )
| $less(1,sF29)
| spl36_132 ),
inference(resolution,[],[f1742,f88]) ).
tff(f3594,plain,
( spl36_136
| ~ spl36_135 ),
inference(avatar_split_clause,[],[f3593,f1777,f1782]) ).
tff(f1782,plain,
( spl36_136
<=> ( mk_array(candidate1,sK0,elts(candidate1,sF19)) = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_136])]) ).
tff(f1777,plain,
( spl36_135
<=> ( length(candidate1,sF19) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_135])]) ).
tff(f3593,plain,
( ( mk_array(candidate1,sK0,elts(candidate1,sF19)) = sF19 )
| ~ spl36_135 ),
inference(superposition,[],[f281,f1779]) ).
tff(f1779,plain,
( ( length(candidate1,sF19) = sK0 )
| ~ spl36_135 ),
inference(avatar_component_clause,[],[f1777]) ).
tff(f281,plain,
! [X0: ty,X1: uni] : ( mk_array(X0,length(X0,X1),elts(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: ty,X1: uni] : ( mk_array(X0,length(X0,X1),elts(X0,X1)) = X1 ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X0: ty,X6: uni] : ( mk_array(X0,length(X0,X6),elts(X0,X6)) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',array_inversion) ).
tff(f3490,plain,
( spl36_208
| spl36_209
| ~ spl36_204
| spl36_22
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f3481,f516,f511,f3462,f3487,f3483]) ).
tff(f3483,plain,
( spl36_208
<=> ( 0 = $sum(-1,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_208])]) ).
tff(f3487,plain,
( spl36_209
<=> $less(0,$sum(-1,sF15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_209])]) ).
tff(f3481,plain,
( ~ $less(sK3,-1)
| $less(0,$sum(-1,sF15))
| ( 0 = $sum(-1,sF15) )
| spl36_22
| ~ spl36_23 ),
inference(forward_demodulation,[],[f3480,f518]) ).
tff(f3480,plain,
( ~ $less(sK3,-1)
| $less(0,$sum(-1,$uminus(sK3)))
| ( 0 = $sum(-1,sF15) )
| spl36_22
| ~ spl36_23 ),
inference(forward_demodulation,[],[f3444,f518]) ).
tff(f3444,plain,
( ( 0 = $sum(-1,$uminus(sK3)) )
| ~ $less(sK3,-1)
| $less(0,$sum(-1,$uminus(sK3)))
| spl36_22 ),
inference(superposition,[],[f779,f3292]) ).
tff(f3477,plain,
( spl36_205
| spl36_207
| spl36_22 ),
inference(avatar_split_clause,[],[f3438,f511,f3475,f3467]) ).
tff(f3475,plain,
( spl36_207
<=> ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( $sum(num_of(X2,X3,sK3),0) = num_of(X2,X3,-1) )
| $less(sK3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_207])]) ).
tff(f3438,plain,
( ! [X2: lparray_candidatecm_candidaterp,X3: $int] :
( ( $sum(num_of(X2,X3,sK3),0) = num_of(X2,X3,-1) )
| $less(-1,sK3)
| $less(sK3,X3) )
| spl36_22 ),
inference(superposition,[],[f267,f3292]) ).
tff(f3473,plain,
( spl36_205
| spl36_206
| spl36_22 ),
inference(avatar_split_clause,[],[f3437,f511,f3471,f3467]) ).
tff(f3471,plain,
( spl36_206
<=> ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,-1)
| ( num_of(X0,sK3,X1) = $sum(0,num_of(X0,-1,X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_206])]) ).
tff(f3437,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( $less(X1,-1)
| $less(-1,sK3)
| ( num_of(X0,sK3,X1) = $sum(0,num_of(X0,-1,X1)) ) )
| spl36_22 ),
inference(superposition,[],[f267,f3292]) ).
tff(f3465,plain,
( ~ spl36_203
| ~ spl36_204
| spl36_22
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f3456,f516,f511,f3462,f3458]) ).
tff(f3456,plain,
( ~ $less(sK3,-1)
| ~ $less($sum(-1,sF15),0)
| spl36_22
| ~ spl36_23 ),
inference(forward_demodulation,[],[f3442,f518]) ).
tff(f3442,plain,
( ~ $less(sK3,-1)
| ~ $less($sum(-1,$uminus(sK3)),0)
| spl36_22 ),
inference(superposition,[],[f332,f3292]) ).
tff(f3338,plain,
( spl36_201
| spl36_202
| spl36_65 ),
inference(avatar_split_clause,[],[f3329,f772,f3335,f3331]) ).
tff(f3329,plain,
( ( sK0 = -1 )
| $less(-1,sK0)
| spl36_65 ),
inference(resolution,[],[f774,f88]) ).
tff(f3246,plain,
( spl36_189
| spl36_143
| spl36_145 ),
inference(avatar_split_clause,[],[f3245,f1929,f1918,f2754]) ).
tff(f1929,plain,
( spl36_145
<=> $less(sF24,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_145])]) ).
tff(f3245,plain,
( ( sF24 = sF29 )
| spl36_143
| spl36_145 ),
inference(subsumption_resolution,[],[f3244,f1931]) ).
tff(f1931,plain,
( ~ $less(sF24,sF29)
| spl36_145 ),
inference(avatar_component_clause,[],[f1929]) ).
tff(f3244,plain,
( $less(sF24,sF29)
| ( sF24 = sF29 )
| spl36_143 ),
inference(resolution,[],[f1920,f88]) ).
tff(f3240,plain,
( spl36_174
| spl36_173
| spl36_159 ),
inference(avatar_split_clause,[],[f3239,f2208,f2509,f2513]) ).
tff(f2509,plain,
( spl36_173
<=> ( $sum(sK5,0) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_173])]) ).
tff(f2208,plain,
( spl36_159
<=> $less($sum(sK5,0),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_159])]) ).
tff(f3239,plain,
( ( $sum(sK5,0) = sK6 )
| $less(sK6,$sum(sK5,0))
| spl36_159 ),
inference(resolution,[],[f2210,f88]) ).
tff(f2210,plain,
( ~ $less($sum(sK5,0),sK6)
| spl36_159 ),
inference(avatar_component_clause,[],[f2208]) ).
tff(f3224,plain,
( spl36_177
| spl36_178
| spl36_150 ),
inference(avatar_split_clause,[],[f3223,f1954,f2533,f2529]) ).
tff(f2533,plain,
( spl36_178
<=> ( sF24 = $sum(sF14,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_178])]) ).
tff(f3223,plain,
( ( sF24 = $sum(sF14,0) )
| $less(sF24,$sum(sF14,0))
| spl36_150 ),
inference(resolution,[],[f1956,f88]) ).
tff(f3138,plain,
( spl36_175
| spl36_176
| spl36_127 ),
inference(avatar_split_clause,[],[f3137,f1690,f2523,f2519]) ).
tff(f2523,plain,
( spl36_176
<=> ( $sum(sK0,0) = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_176])]) ).
tff(f3137,plain,
( ( $sum(sK0,0) = sF29 )
| $less(sF29,$sum(sK0,0))
| spl36_127 ),
inference(resolution,[],[f1692,f88]) ).
tff(f3115,plain,
( spl36_190
| spl36_191
| spl36_163 ),
inference(avatar_split_clause,[],[f3114,f2234,f2783,f2779]) ).
tff(f2234,plain,
( spl36_163
<=> $less(sF29,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_163])]) ).
tff(f3114,plain,
( $less(sK6,sF29)
| ( sK6 = sF29 )
| spl36_163 ),
inference(resolution,[],[f2236,f88]) ).
tff(f2236,plain,
( ~ $less(sF29,sK6)
| spl36_163 ),
inference(avatar_component_clause,[],[f2234]) ).
tff(f3055,plain,
( spl36_103
| ~ spl36_102 ),
inference(avatar_split_clause,[],[f3046,f1301,f1307]) ).
tff(f3046,plain,
( ! [X0: lparray_candidatecm_candidaterp] : ( 0 = num_of(X0,0,1) )
| ~ spl36_102 ),
inference(resolution,[],[f1302,f980]) ).
tff(f1302,plain,
( ! [X5: lparray_candidatecm_candidaterp] : ~ pr(X5,0)
| ~ spl36_102 ),
inference(avatar_component_clause,[],[f1301]) ).
tff(f3054,plain,
( ~ spl36_12
| ~ spl36_102 ),
inference(avatar_contradiction_clause,[],[f3050]) ).
tff(f3050,plain,
( $false
| ~ spl36_12
| ~ spl36_102 ),
inference(resolution,[],[f1302,f1104]) ).
tff(f3052,plain,
( ~ spl36_12
| ~ spl36_102 ),
inference(avatar_contradiction_clause,[],[f3049]) ).
tff(f3049,plain,
( $false
| ~ spl36_12
| ~ spl36_102 ),
inference(resolution,[],[f1302,f1100]) ).
tff(f3051,plain,
( ~ spl36_12
| ~ spl36_102 ),
inference(avatar_contradiction_clause,[],[f3048]) ).
tff(f3048,plain,
( $false
| ~ spl36_12
| ~ spl36_102 ),
inference(resolution,[],[f1302,f1097]) ).
tff(f2943,plain,
( spl36_89
| spl36_200
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f2912,f582,f2941,f1076]) ).
tff(f2912,plain,
( ! [X36: $int] :
( $less(X36,sF14)
| $less(sF24,num_of(sF23,0,X36))
| $less(sF14,0)
| ( sF24 = num_of(sF23,0,X36) ) )
| ~ spl36_36 ),
inference(superposition,[],[f805,f584]) ).
tff(f2884,plain,
( spl36_106
| spl36_199
| spl36_105
| ~ spl36_3
| ~ spl36_163 ),
inference(avatar_split_clause,[],[f2879,f2234,f416,f1334,f2881,f1338]) ).
tff(f1338,plain,
( spl36_106
<=> ( sK6 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_106])]) ).
tff(f2879,plain,
( $less(sK0,sK6)
| $less(sF29,sF27)
| ( sK6 = sF27 )
| ~ spl36_3
| ~ spl36_163 ),
inference(resolution,[],[f2811,f638]) ).
tff(f2811,plain,
( ! [X2: $int] :
( ~ $less(sK6,X2)
| $less(sF29,X2) )
| ~ spl36_163 ),
inference(resolution,[],[f2235,f87]) ).
tff(f2235,plain,
( $less(sF29,sK6)
| ~ spl36_163 ),
inference(avatar_component_clause,[],[f2234]) ).
tff(f2873,plain,
( spl36_197
| spl36_198
| spl36_167 ),
inference(avatar_split_clause,[],[f2864,f2273,f2870,f2866]) ).
tff(f2273,plain,
( spl36_167
<=> $less(sF24,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_167])]) ).
tff(f2864,plain,
( $less(sK6,sF24)
| ( sF24 = sK6 )
| spl36_167 ),
inference(resolution,[],[f2275,f88]) ).
tff(f2275,plain,
( ~ $less(sF24,sK6)
| spl36_167 ),
inference(avatar_component_clause,[],[f2273]) ).
tff(f2859,plain,
( spl36_195
| spl36_196
| ~ spl36_191
| ~ spl36_163 ),
inference(avatar_split_clause,[],[f2836,f2234,f2783,f2856,f2852]) ).
tff(f2852,plain,
( spl36_195
<=> ( 0 = $sum(sF29,$uminus(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_195])]) ).
tff(f2856,plain,
( spl36_196
<=> $less(0,$sum(sF29,$uminus(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_196])]) ).
tff(f2836,plain,
( ~ $less(sK6,sF29)
| $less(0,$sum(sF29,$uminus(sK6)))
| ( 0 = $sum(sF29,$uminus(sK6)) )
| ~ spl36_163 ),
inference(superposition,[],[f779,f2810]) ).
tff(f2810,plain,
( ! [X1: lparray_candidatecm_candidaterp] : ( 0 = num_of(X1,sK6,sF29) )
| ~ spl36_163 ),
inference(resolution,[],[f2235,f1283]) ).
tff(f2850,plain,
( ~ spl36_194
| ~ spl36_191
| ~ spl36_163 ),
inference(avatar_split_clause,[],[f2834,f2234,f2783,f2847]) ).
tff(f2847,plain,
( spl36_194
<=> $less($sum(sF29,$uminus(sK6)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_194])]) ).
tff(f2834,plain,
( ~ $less(sK6,sF29)
| ~ $less($sum(sF29,$uminus(sK6)),0)
| ~ spl36_163 ),
inference(superposition,[],[f332,f2810]) ).
tff(f2828,plain,
( ~ spl36_124
| ~ spl36_125 ),
inference(avatar_split_clause,[],[f2813,f1677,f1671]) ).
tff(f2813,plain,
( ~ $less(sF29,0)
| ~ spl36_125 ),
inference(interpreted_simplification,[],[f2812]) ).
tff(f2812,plain,
( ~ $less(sF29,0)
| $less(0,0)
| ~ spl36_125 ),
inference(instantiation,[],[f2711]) ).
tff(f2711,plain,
( ! [X2: $int] :
( ~ $less(sF29,X2)
| $less(0,X2) )
| ~ spl36_125 ),
inference(resolution,[],[f1678,f87]) ).
tff(f2827,plain,
( spl36_87
| spl36_192
| spl36_193
| ~ spl36_3
| ~ spl36_125 ),
inference(avatar_split_clause,[],[f2818,f1677,f416,f2824,f2820,f1067]) ).
tff(f1067,plain,
( spl36_87
<=> $less(0,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_87])]) ).
tff(f2820,plain,
( spl36_192
<=> ( sF27 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_192])]) ).
tff(f2824,plain,
( spl36_193
<=> $less(sK0,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_193])]) ).
tff(f2818,plain,
( $less(sK0,sF29)
| ( sF27 = sF29 )
| $less(0,sF27)
| ~ spl36_3
| ~ spl36_125 ),
inference(resolution,[],[f2711,f638]) ).
tff(f2786,plain,
( spl36_190
| spl36_191
| spl36_163 ),
inference(avatar_split_clause,[],[f2777,f2234,f2783,f2779]) ).
tff(f2777,plain,
( $less(sK6,sF29)
| ( sK6 = sF29 )
| spl36_163 ),
inference(resolution,[],[f2236,f88]) ).
tff(f2757,plain,
( spl36_143
| spl36_189
| spl36_145 ),
inference(avatar_split_clause,[],[f2752,f1929,f2754,f1918]) ).
tff(f2752,plain,
( ( sF24 = sF29 )
| $less(sF29,sF24)
| spl36_145 ),
inference(resolution,[],[f1931,f88]) ).
tff(f2749,plain,
( ~ spl36_188
| ~ spl36_124
| ~ spl36_125 ),
inference(avatar_split_clause,[],[f2721,f1677,f1671,f2746]) ).
tff(f2746,plain,
( spl36_188
<=> $less($sum(0,$uminus(sF29)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_188])]) ).
tff(f2721,plain,
( ~ $less(sF29,0)
| ~ $less($sum(0,$uminus(sF29)),0)
| ~ spl36_125 ),
inference(superposition,[],[f332,f2710]) ).
tff(f2710,plain,
( ! [X1: lparray_candidatecm_candidaterp] : ( 0 = num_of(X1,sF29,0) )
| ~ spl36_125 ),
inference(resolution,[],[f1678,f1283]) ).
tff(f2744,plain,
( spl36_186
| ~ spl36_124
| spl36_187
| ~ spl36_125 ),
inference(avatar_split_clause,[],[f2723,f1677,f2741,f1671,f2737]) ).
tff(f2737,plain,
( spl36_186
<=> ( 0 = $sum(0,$uminus(sF29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_186])]) ).
tff(f2741,plain,
( spl36_187
<=> $less(0,$sum(0,$uminus(sF29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_187])]) ).
tff(f2723,plain,
( $less(0,$sum(0,$uminus(sF29)))
| ~ $less(sF29,0)
| ( 0 = $sum(0,$uminus(sF29)) )
| ~ spl36_125 ),
inference(superposition,[],[f779,f2710]) ).
tff(f2715,plain,
( spl36_115
| spl36_147
| spl36_139 ),
inference(avatar_split_clause,[],[f2714,f1900,f1938,f1525]) ).
tff(f1938,plain,
( spl36_147
<=> ( 0 = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_147])]) ).
tff(f2714,plain,
( ( 0 = sF24 )
| $less(0,sF24)
| spl36_139 ),
inference(resolution,[],[f1902,f88]) ).
tff(f2692,plain,
( spl36_87
| ~ spl36_44
| ~ spl36_63 ),
inference(avatar_split_clause,[],[f2688,f752,f641,f1067]) ).
tff(f2688,plain,
( $less(0,sF27)
| ~ spl36_44
| ~ spl36_63 ),
inference(resolution,[],[f754,f2288]) ).
tff(f2640,plain,
( spl36_185
| ~ spl36_29
| ~ spl36_66 ),
inference(avatar_split_clause,[],[f2635,f824,f547,f2637]) ).
tff(f2637,plain,
( spl36_185
<=> ( sF22 = tuple21(sF17,candidate1,tuple2_proj_1(sF17,candidate1,sF22),sF21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_185])]) ).
tff(f824,plain,
( spl36_66
<=> sort(candidate1,sF21) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_66])]) ).
tff(f2635,plain,
( ( sF22 = tuple21(sF17,candidate1,tuple2_proj_1(sF17,candidate1,sF22),sF21) )
| ~ spl36_29
| ~ spl36_66 ),
inference(subsumption_resolution,[],[f2627,f826]) ).
tff(f826,plain,
( sort(candidate1,sF21)
| ~ spl36_66 ),
inference(avatar_component_clause,[],[f824]) ).
tff(f2627,plain,
( ( sF22 = tuple21(sF17,candidate1,tuple2_proj_1(sF17,candidate1,sF22),sF21) )
| ~ sort(candidate1,sF21)
| ~ spl36_29 ),
inference(superposition,[],[f1035,f549]) ).
tff(f1035,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] :
( ( tuple21(X0,X1,tuple2_proj_1(X0,X1,tuple21(X0,X1,X2,X3)),X3) = tuple21(X0,X1,X2,X3) )
| ~ sort(X1,X3) ),
inference(subsumption_resolution,[],[f1032,f310]) ).
tff(f310,plain,
! [X2: uni,X3: ty,X0: ty,X1: uni] : sort(tuple2(X3,X0),tuple21(X3,X0,X1,X2)),
inference(cnf_transformation,[],[f228]) ).
tff(f228,plain,
! [X0: ty,X1: uni,X2: uni,X3: ty] : sort(tuple2(X3,X0),tuple21(X3,X0,X1,X2)),
inference(rectify,[],[f158]) ).
tff(f158,plain,
! [X1: ty,X0: uni,X3: uni,X2: ty] : sort(tuple2(X2,X1),tuple21(X2,X1,X0,X3)),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X1: uni,X0: ty,X10: ty,X2: uni] : sort(tuple2(X10,X0),tuple21(X10,X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_sort) ).
tff(f1032,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] :
( ~ sort(tuple2(X0,X1),tuple21(X0,X1,X2,X3))
| ~ sort(X1,X3)
| ( tuple21(X0,X1,tuple2_proj_1(X0,X1,tuple21(X0,X1,X2,X3)),X3) = tuple21(X0,X1,X2,X3) ) ),
inference(superposition,[],[f345,f319]) ).
tff(f319,plain,
! [X2: ty,X3: ty,X0: uni,X1: uni] :
( ( tuple2_proj_2(X3,X2,tuple21(X3,X2,X1,X0)) = X0 )
| ~ sort(X2,X0) ),
inference(cnf_transformation,[],[f233]) ).
tff(f233,plain,
! [X0: uni,X1: uni,X2: ty,X3: ty] :
( ( tuple2_proj_2(X3,X2,tuple21(X3,X2,X1,X0)) = X0 )
| ~ sort(X2,X0) ),
inference(rectify,[],[f183]) ).
tff(f183,plain,
! [X3: uni,X1: uni,X0: ty,X2: ty] :
( ( tuple2_proj_2(X2,X0,tuple21(X2,X0,X1,X3)) = X3 )
| ~ sort(X0,X3) ),
inference(ennf_transformation,[],[f126]) ).
tff(f126,plain,
! [X2: ty,X1: uni,X0: ty,X3: uni] :
( sort(X0,X3)
=> ( tuple2_proj_2(X2,X0,tuple21(X2,X0,X1,X3)) = X3 ) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X0: ty,X6: uni,X10: ty,X13: uni] :
( sort(X0,X13)
=> ( tuple2_proj_2(X10,X0,tuple21(X10,X0,X6,X13)) = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_proj_2_def) ).
tff(f2623,plain,
( ~ spl36_139
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f2622,f958,f582,f1900]) ).
tff(f2622,plain,
( ~ $less(sF24,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(forward_demodulation,[],[f2602,f715]) ).
tff(f2602,plain,
( ~ $less(sF24,num_of(sF23,0,0))
| ~ spl36_36
| ~ spl36_81 ),
inference(interpreted_simplification,[],[f2601]) ).
tff(f2601,plain,
( $less(0,0)
| ~ $less(sF24,num_of(sF23,0,0))
| $less(0,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(instantiation,[],[f1966]) ).
tff(f1966,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(sF24,num_of(sF23,0,X0))
| $less(X0,0) )
| ~ spl36_36
| ~ spl36_81 ),
inference(resolution,[],[f1886,f1036]) ).
tff(f1036,plain,
( ! [X0: $int] :
( ~ $less(sF14,X0)
| $less(0,X0) )
| ~ spl36_81 ),
inference(resolution,[],[f960,f87]) ).
tff(f2619,plain,
( ~ spl36_139
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f2618,f958,f582,f1900]) ).
tff(f2618,plain,
( ~ $less(sF24,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(forward_demodulation,[],[f2612,f715]) ).
tff(f2612,plain,
( ~ $less(sF24,num_of(sF23,0,0))
| ~ spl36_36
| ~ spl36_81 ),
inference(evaluation,[],[f2611]) ).
tff(f2611,plain,
( ~ $less(sF24,num_of(sF23,0,0))
| $less(0,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(factoring,[],[f1966]) ).
tff(f2617,plain,
( ~ spl36_139
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f2616,f958,f582,f1900]) ).
tff(f2616,plain,
( ~ $less(sF24,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(forward_demodulation,[],[f2613,f715]) ).
tff(f2613,plain,
( ~ $less(sF24,num_of(sF23,0,0))
| ~ spl36_36
| ~ spl36_81 ),
inference(evaluation,[],[f2607]) ).
tff(f2607,plain,
( $less(0,0)
| ~ $less(sF24,num_of(sF23,0,0))
| ~ spl36_36
| ~ spl36_81 ),
inference(resolution,[],[f1966,f86]) ).
tff(f2598,plain,
( spl36_184
| ~ spl36_12
| ~ spl36_29 ),
inference(avatar_split_clause,[],[f2593,f547,f461,f2595]) ).
tff(f2593,plain,
( ( sF22 = tuple21(sF17,candidate1,sF19,tuple2_proj_2(sF17,candidate1,sF22)) )
| ~ spl36_12
| ~ spl36_29 ),
inference(subsumption_resolution,[],[f2587,f817]) ).
tff(f817,plain,
( ! [X2: uni] : sort(sF17,X2)
| ~ spl36_12 ),
inference(superposition,[],[f622,f463]) ).
tff(f622,plain,
! [X1: uni] : sort(array(candidate1),X1),
inference(superposition,[],[f258,f276]) ).
tff(f258,plain,
! [X0: array_candidate] : sort(array(candidate1),t2tb2(X0)),
inference(cnf_transformation,[],[f129]) ).
tff(f129,plain,
! [X0: array_candidate] : sort(array(candidate1),t2tb2(X0)),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X1: array_candidate] : sort(array(candidate1),t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f2587,plain,
( ( sF22 = tuple21(sF17,candidate1,sF19,tuple2_proj_2(sF17,candidate1,sF22)) )
| ~ sort(sF17,sF19)
| ~ spl36_29 ),
inference(superposition,[],[f1034,f549]) ).
tff(f1034,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] :
( ( tuple21(X0,X1,X2,X3) = tuple21(X0,X1,X2,tuple2_proj_2(X0,X1,tuple21(X0,X1,X2,X3))) )
| ~ sort(X0,X2) ),
inference(subsumption_resolution,[],[f1031,f310]) ).
tff(f1031,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] :
( ~ sort(X0,X2)
| ( tuple21(X0,X1,X2,X3) = tuple21(X0,X1,X2,tuple2_proj_2(X0,X1,tuple21(X0,X1,X2,X3))) )
| ~ sort(tuple2(X0,X1),tuple21(X0,X1,X2,X3)) ),
inference(superposition,[],[f345,f353]) ).
tff(f353,plain,
! [X2: ty,X3: ty,X0: uni,X1: uni] :
( ( tuple2_proj_1(X2,X3,tuple21(X2,X3,X1,X0)) = X1 )
| ~ sort(X2,X1) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: uni,X1: uni,X2: ty,X3: ty] :
( ( tuple2_proj_1(X2,X3,tuple21(X2,X3,X1,X0)) = X1 )
| ~ sort(X2,X1) ),
inference(rectify,[],[f181]) ).
tff(f181,plain,
! [X3: uni,X2: uni,X1: ty,X0: ty] :
( ( tuple2_proj_1(X1,X0,tuple21(X1,X0,X2,X3)) = X2 )
| ~ sort(X1,X2) ),
inference(ennf_transformation,[],[f156]) ).
tff(f156,plain,
! [X3: uni,X1: ty,X2: uni,X0: ty] :
( sort(X1,X2)
=> ( tuple2_proj_1(X1,X0,tuple21(X1,X0,X2,X3)) = X2 ) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X0: ty,X10: ty,X6: uni,X13: uni] :
( sort(X10,X6)
=> ( tuple2_proj_1(X10,X0,tuple21(X10,X0,X6,X13)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_proj_1_def) ).
tff(f2584,plain,
( spl36_183
| spl36_158
| spl36_87
| ~ spl36_3
| ~ spl36_44 ),
inference(avatar_split_clause,[],[f2579,f641,f416,f1067,f2183,f2581]) ).
tff(f2581,plain,
( spl36_183
<=> ( sF27 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_183])]) ).
tff(f2183,plain,
( spl36_158
<=> $less(sK0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_158])]) ).
tff(f2579,plain,
( $less(0,sF27)
| $less(sK0,sK5)
| ( sF27 = sK5 )
| ~ spl36_3
| ~ spl36_44 ),
inference(resolution,[],[f2288,f638]) ).
tff(f2569,plain,
( spl36_100
| spl36_91
| spl36_63
| ~ spl36_3
| ~ spl36_61 ),
inference(avatar_split_clause,[],[f2568,f741,f416,f752,f1161,f1258]) ).
tff(f2568,plain,
( $less(sK5,sF27)
| ( sF27 = sF13 )
| $less(sK0,sF13)
| ~ spl36_3
| ~ spl36_61 ),
inference(resolution,[],[f985,f638]) ).
tff(f2554,plain,
( spl36_181
| ~ spl36_111
| spl36_182
| ~ spl36_3 ),
inference(avatar_split_clause,[],[f2487,f416,f2551,f1478,f2547]) ).
tff(f2547,plain,
( spl36_181
<=> ( 0 = $sum(sK0,$uminus(sF27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_181])]) ).
tff(f1478,plain,
( spl36_111
<=> $less(sF27,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_111])]) ).
tff(f2551,plain,
( spl36_182
<=> $less(0,$sum(sK0,$uminus(sF27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_182])]) ).
tff(f2487,plain,
( $less(0,$sum(sK0,$uminus(sF27)))
| ~ $less(sF27,sK0)
| ( 0 = $sum(sK0,$uminus(sF27)) )
| ~ spl36_3 ),
inference(superposition,[],[f779,f1358]) ).
tff(f1358,plain,
( ! [X22: lparray_candidatecm_candidaterp] : ( 0 = num_of(X22,sF27,sK0) )
| ~ spl36_3 ),
inference(resolution,[],[f1283,f418]) ).
tff(f2545,plain,
( ~ spl36_158
| spl36_179
| spl36_180
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f2482,f597,f2542,f2538,f2183]) ).
tff(f2538,plain,
( spl36_179
<=> ( 0 = $sum(sK5,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_179])]) ).
tff(f2542,plain,
( spl36_180
<=> $less(0,$sum(sK5,$uminus(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_180])]) ).
tff(f597,plain,
( spl36_39
<=> $less(sK5,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_39])]) ).
tff(f2482,plain,
( $less(0,$sum(sK5,$uminus(sK0)))
| ( 0 = $sum(sK5,$uminus(sK0)) )
| ~ $less(sK0,sK5)
| ~ spl36_39 ),
inference(superposition,[],[f779,f1359]) ).
tff(f1359,plain,
( ! [X23: lparray_candidatecm_candidaterp] : ( 0 = num_of(X23,sK0,sK5) )
| ~ spl36_39 ),
inference(resolution,[],[f1283,f599]) ).
tff(f599,plain,
( $less(sK5,sK0)
| ~ spl36_39 ),
inference(avatar_component_clause,[],[f597]) ).
tff(f2536,plain,
( spl36_177
| spl36_178
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f2527,f958,f582,f2533,f2529]) ).
tff(f2527,plain,
( ( sF24 = $sum(sF14,0) )
| $less(sF24,$sum(sF14,0))
| ~ spl36_36
| ~ spl36_81 ),
inference(subsumption_resolution,[],[f2495,f960]) ).
tff(f2495,plain,
( ( sF24 = $sum(sF14,0) )
| ~ $less(0,sF14)
| $less(sF24,$sum(sF14,0))
| ~ spl36_36 ),
inference(evaluation,[],[f2490]) ).
tff(f2490,plain,
( $less(sF24,$sum(sF14,$uminus(0)))
| ( sF24 = $sum(sF14,$uminus(0)) )
| ~ $less(0,sF14)
| ~ spl36_36 ),
inference(superposition,[],[f779,f584]) ).
tff(f2526,plain,
( spl36_175
| spl36_176
| ~ spl36_11
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f2517,f506,f456,f2523,f2519]) ).
tff(f2517,plain,
( ( $sum(sK0,0) = sF29 )
| $less(sF29,$sum(sK0,0))
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f2496,f458]) ).
tff(f2496,plain,
( $less(sF29,$sum(sK0,0))
| ~ $less(0,sK0)
| ( $sum(sK0,0) = sF29 )
| ~ spl36_21 ),
inference(evaluation,[],[f2489]) ).
tff(f2489,plain,
( ~ $less(0,sK0)
| $less(sF29,$sum(sK0,$uminus(0)))
| ( $sum(sK0,$uminus(0)) = sF29 )
| ~ spl36_21 ),
inference(superposition,[],[f779,f508]) ).
tff(f2516,plain,
( spl36_173
| spl36_174
| ~ spl36_44
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2507,f2152,f641,f2513,f2509]) ).
tff(f2507,plain,
( $less(sK6,$sum(sK5,0))
| ( $sum(sK5,0) = sK6 )
| ~ spl36_44
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2497,f643]) ).
tff(f2497,plain,
( $less(sK6,$sum(sK5,0))
| ( $sum(sK5,0) = sK6 )
| ~ $less(0,sK5)
| ~ spl36_156 ),
inference(evaluation,[],[f2491]) ).
tff(f2491,plain,
( $less(sK6,$sum(sK5,$uminus(0)))
| ~ $less(0,sK5)
| ( $sum(sK5,$uminus(0)) = sK6 )
| ~ spl36_156 ),
inference(superposition,[],[f779,f2154]) ).
tff(f2506,plain,
( spl36_171
| spl36_172
| ~ spl36_89
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f2485,f958,f1076,f2503,f2499]) ).
tff(f2499,plain,
( spl36_171
<=> ( 0 = $sum(0,$uminus(sF14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_171])]) ).
tff(f2503,plain,
( spl36_172
<=> $less(0,$sum(0,$uminus(sF14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_172])]) ).
tff(f2485,plain,
( ~ $less(sF14,0)
| $less(0,$sum(0,$uminus(sF14)))
| ( 0 = $sum(0,$uminus(sF14)) )
| ~ spl36_81 ),
inference(superposition,[],[f779,f1356]) ).
tff(f1356,plain,
( ! [X19: lparray_candidatecm_candidaterp] : ( 0 = num_of(X19,sF14,0) )
| ~ spl36_81 ),
inference(resolution,[],[f1283,f960]) ).
tff(f2363,plain,
( spl36_67
| ~ spl36_71
| ~ spl36_79 ),
inference(avatar_split_clause,[],[f2362,f944,f881,f829]) ).
tff(f829,plain,
( spl36_67
<=> ( tb2t3(sF21) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_67])]) ).
tff(f944,plain,
( spl36_79
<=> ( sF21 = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_79])]) ).
tff(f2362,plain,
( ( tb2t3(sF21) = sK2 )
| ~ spl36_71
| ~ spl36_79 ),
inference(superposition,[],[f883,f946]) ).
tff(f946,plain,
( ( sF21 = sF33 )
| ~ spl36_79 ),
inference(avatar_component_clause,[],[f944]) ).
tff(f2361,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2360,f2152,f441,f2354]) ).
tff(f2360,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2349,f2154]) ).
tff(f2349,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(evaluation,[],[f2343]) ).
tff(f2343,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| $less(0,0)
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2251,f789]) ).
tff(f2359,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2358,f2152,f441,f2354]) ).
tff(f2358,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2350,f2154]) ).
tff(f2350,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(evaluation,[],[f2344]) ).
tff(f2344,plain,
( $less(0,0)
| ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2251,f715]) ).
tff(f2357,plain,
( spl36_170
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2352,f2152,f441,f2354]) ).
tff(f2352,plain,
( ( sK6 = $sum(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2351,f2154]) ).
tff(f2351,plain,
( ( $sum(0,sK6) = num_of(sF23,0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2341,f715]) ).
tff(f2341,plain,
( ( num_of(sF23,0,sK5) = $sum(num_of(sF23,0,0),sK6) )
| spl36_8
| ~ spl36_156 ),
inference(interpreted_simplification,[],[f2340]) ).
tff(f2340,plain,
( ( num_of(sF23,0,sK5) = $sum(num_of(sF23,0,0),sK6) )
| $less(0,0)
| spl36_8
| ~ spl36_156 ),
inference(instantiation,[],[f2251]) ).
tff(f2312,plain,
( spl36_169
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2307,f2152,f441,f2309]) ).
tff(f2307,plain,
( ( sK6 = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2306,f2154]) ).
tff(f2306,plain,
( ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2305,f86]) ).
tff(f2305,plain,
( $less(sK5,sK5)
| ( num_of(sF23,0,sK5) = $sum(sK6,0) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2245,f789]) ).
tff(f2301,plain,
( ~ spl36_160
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2300,f2152,f441,f2215]) ).
tff(f2300,plain,
( ~ $less(sK6,0)
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2299,f715]) ).
tff(f2299,plain,
( ~ $less(sK6,num_of(sF23,0,0))
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2290,f443]) ).
tff(f2290,plain,
( ~ $less(sK6,num_of(sF23,0,0))
| $less(sK5,0)
| ~ spl36_156 ),
inference(interpreted_simplification,[],[f2289]) ).
tff(f2289,plain,
( $less(sK5,0)
| $less(0,0)
| ~ $less(sK6,num_of(sF23,0,0))
| ~ spl36_156 ),
inference(instantiation,[],[f2195]) ).
tff(f2298,plain,
( ~ spl36_160
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2297,f2152,f441,f2215]) ).
tff(f2297,plain,
( ~ $less(sK6,0)
| spl36_8
| ~ spl36_156 ),
inference(forward_demodulation,[],[f2296,f715]) ).
tff(f2296,plain,
( ~ $less(sK6,num_of(sF23,0,0))
| spl36_8
| ~ spl36_156 ),
inference(evaluation,[],[f2291]) ).
tff(f2291,plain,
( $less(0,0)
| ~ $less(sK6,num_of(sF23,0,0))
| spl36_8
| ~ spl36_156 ),
inference(resolution,[],[f2195,f443]) ).
tff(f2282,plain,
( spl36_44
| ~ spl36_161
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2260,f2152,f441,f2221,f641]) ).
tff(f2260,plain,
( ~ $less(0,sK6)
| $less(0,sK5)
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2248,f789]) ).
tff(f2281,plain,
( ~ spl36_161
| spl36_162
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2259,f2152,f441,f2229,f2221]) ).
tff(f2259,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(0,sK6)
| $less(X0,sK5) )
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2248,f282]) ).
tff(f2280,plain,
( ~ spl36_167
| spl36_168
| spl36_8
| ~ spl36_36
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2255,f2152,f582,f441,f2277,f2273]) ).
tff(f2255,plain,
( $less(sF14,sK5)
| ~ $less(sF24,sK6)
| spl36_8
| ~ spl36_36
| ~ spl36_156 ),
inference(superposition,[],[f2248,f584]) ).
tff(f2271,plain,
( ~ spl36_165
| spl36_130
| spl36_166
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2258,f2152,f441,f2268,f1715,f2264]) ).
tff(f1715,plain,
( spl36_130
<=> ( 0 = num_of(sF23,0,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_130])]) ).
tff(f2258,plain,
( $less(1,sK5)
| ( 0 = num_of(sF23,0,1) )
| ~ $less(1,sK6)
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2248,f1081]) ).
tff(f2262,plain,
( spl36_158
| ~ spl36_163
| spl36_8
| ~ spl36_21
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2254,f2152,f506,f441,f2234,f2183]) ).
tff(f2254,plain,
( ~ $less(sF29,sK6)
| $less(sK0,sK5)
| spl36_8
| ~ spl36_21
| ~ spl36_156 ),
inference(superposition,[],[f2248,f508]) ).
tff(f2261,plain,
( ~ spl36_161
| spl36_44
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2257,f2152,f441,f641,f2221]) ).
tff(f2257,plain,
( $less(0,sK5)
| ~ $less(0,sK6)
| spl36_8
| ~ spl36_156 ),
inference(superposition,[],[f2248,f715]) ).
tff(f2250,plain,
( ~ spl36_160
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2249,f2152,f441,f2215]) ).
tff(f2249,plain,
( ~ $less(sK6,0)
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2190,f443]) ).
tff(f2190,plain,
( $less(sK5,0)
| ~ $less(sK6,0)
| ~ spl36_156 ),
inference(superposition,[],[f812,f2154]) ).
tff(f2247,plain,
( ~ spl36_160
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2246,f2152,f441,f2215]) ).
tff(f2246,plain,
( ~ $less(sK6,0)
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2202,f443]) ).
tff(f2202,plain,
( ~ $less(sK6,0)
| $less(sK5,0)
| ~ spl36_156 ),
inference(superposition,[],[f813,f2154]) ).
tff(f2244,plain,
( ~ spl36_161
| spl36_44
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2243,f2152,f441,f641,f2221]) ).
tff(f2243,plain,
( $less(0,sK5)
| ~ $less(0,sK6)
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2200,f443]) ).
tff(f2200,plain,
( $less(0,sK5)
| ~ $less(0,sK6)
| $less(sK5,0)
| ~ spl36_156 ),
inference(superposition,[],[f807,f2154]) ).
tff(f2242,plain,
( ~ spl36_160
| ~ spl36_44
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2196,f2152,f641,f2215]) ).
tff(f2196,plain,
( ~ $less(0,sK5)
| ~ $less(sK6,0)
| ~ spl36_156 ),
inference(superposition,[],[f331,f2154]) ).
tff(f2241,plain,
( ~ spl36_160
| spl36_164
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2201,f2152,f2239,f2215]) ).
tff(f2239,plain,
( spl36_164
<=> ! [X5: $int] :
( $less(X5,0)
| $less(0,X5)
| $less(sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_164])]) ).
tff(f2201,plain,
( ! [X5: $int] :
( $less(X5,0)
| $less(sK5,X5)
| ~ $less(sK6,0)
| $less(0,X5) )
| ~ spl36_156 ),
inference(superposition,[],[f809,f2154]) ).
tff(f2237,plain,
( ~ spl36_163
| spl36_158
| spl36_8
| ~ spl36_21
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2232,f2152,f506,f441,f2183,f2234]) ).
tff(f2232,plain,
( $less(sK0,sK5)
| ~ $less(sF29,sK6)
| spl36_8
| ~ spl36_21
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2188,f443]) ).
tff(f2188,plain,
( $less(sK0,sK5)
| $less(sK5,0)
| ~ $less(sF29,sK6)
| ~ spl36_21
| ~ spl36_156 ),
inference(superposition,[],[f1660,f2154]) ).
tff(f2231,plain,
( ~ spl36_161
| spl36_162
| spl36_8
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2227,f2152,f441,f2229,f2221]) ).
tff(f2227,plain,
( ! [X4: $int] :
( $less(X4,sK5)
| $less(0,X4)
| ~ $less(0,sK6) )
| spl36_8
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2199,f443]) ).
tff(f2199,plain,
( ! [X4: $int] :
( ~ $less(0,sK6)
| $less(sK5,0)
| $less(0,X4)
| $less(X4,sK5) )
| ~ spl36_156 ),
inference(superposition,[],[f806,f2154]) ).
tff(f2226,plain,
( spl36_44
| spl36_121
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2225,f2152,f1591,f641]) ).
tff(f2225,plain,
( $less(0,sK5)
| spl36_121
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2187,f1592]) ).
tff(f2187,plain,
( $less(0,sK5)
| ( 0 = sK6 )
| ~ spl36_156 ),
inference(superposition,[],[f2154,f282]) ).
tff(f2224,plain,
( spl36_161
| spl36_121
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2219,f2152,f1591,f2221]) ).
tff(f2219,plain,
( $less(0,sK6)
| spl36_121
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2198,f1592]) ).
tff(f2198,plain,
( ( 0 = sK6 )
| $less(0,sK6)
| ~ spl36_156 ),
inference(superposition,[],[f722,f2154]) ).
tff(f2218,plain,
( ~ spl36_160
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2205,f2152,f2215]) ).
tff(f2205,plain,
( ~ $less(sK6,0)
| ~ spl36_156 ),
inference(superposition,[],[f1844,f2154]) ).
tff(f2213,plain,
( spl36_44
| spl36_121
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2212,f2152,f1591,f641]) ).
tff(f2212,plain,
( $less(0,sK5)
| spl36_121
| ~ spl36_156 ),
inference(subsumption_resolution,[],[f2193,f1592]) ).
tff(f2193,plain,
( $less(0,sK5)
| ( 0 = sK6 )
| ~ spl36_156 ),
inference(superposition,[],[f282,f2154]) ).
tff(f2211,plain,
( ~ spl36_44
| ~ spl36_159
| ~ spl36_156 ),
inference(avatar_split_clause,[],[f2206,f2152,f2208,f641]) ).
tff(f2206,plain,
( ~ $less($sum(sK5,0),sK6)
| ~ $less(0,sK5)
| ~ spl36_156 ),
inference(evaluation,[],[f2197]) ).
tff(f2197,plain,
( ~ $less(0,sK5)
| ~ $less($sum(sK5,$uminus(0)),sK6)
| ~ spl36_156 ),
inference(superposition,[],[f332,f2154]) ).
tff(f2186,plain,
( ~ spl36_157
| ~ spl36_158
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f2166,f597,f2183,f2179]) ).
tff(f2179,plain,
( spl36_157
<=> $less($sum(sK5,$uminus(sK0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_157])]) ).
tff(f2166,plain,
( ~ $less(sK0,sK5)
| ~ $less($sum(sK5,$uminus(sK0)),0)
| ~ spl36_39 ),
inference(superposition,[],[f332,f1359]) ).
tff(f2155,plain,
( spl36_156
| ~ spl36_1
| ~ spl36_9 ),
inference(avatar_split_clause,[],[f1587,f446,f406,f2152]) ).
tff(f406,plain,
( spl36_1
<=> ( num_of(sF23,0,sK5) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_1])]) ).
tff(f446,plain,
( spl36_9
<=> ( sK6 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_9])]) ).
tff(f1587,plain,
( ( sK6 = num_of(sF23,0,sK5) )
| ~ spl36_1
| ~ spl36_9 ),
inference(forward_demodulation,[],[f408,f448]) ).
tff(f448,plain,
( ( sK6 = sF31 )
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f408,plain,
( ( num_of(sF23,0,sK5) = sF31 )
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f406]) ).
tff(f2150,plain,
( spl36_80
| ~ spl36_37 ),
inference(avatar_split_clause,[],[f2147,f587,f948]) ).
tff(f948,plain,
( spl36_80
<=> sort(candidate1,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_80])]) ).
tff(f2147,plain,
( sort(candidate1,sF33)
| ~ spl36_37 ),
inference(superposition,[],[f337,f589]) ).
tff(f2149,plain,
( ~ spl36_37
| spl36_80 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
tff(f2148,plain,
( $false
| ~ spl36_37
| spl36_80 ),
inference(subsumption_resolution,[],[f2147,f950]) ).
tff(f950,plain,
( ~ sort(candidate1,sF33)
| spl36_80 ),
inference(avatar_component_clause,[],[f948]) ).
tff(f2065,plain,
( spl36_155
| ~ spl36_29
| ~ spl36_66 ),
inference(avatar_split_clause,[],[f2060,f824,f547,f2062]) ).
tff(f2062,plain,
( spl36_155
<=> ( sF21 = tuple2_proj_2(sF17,candidate1,sF22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_155])]) ).
tff(f2060,plain,
( ( sF21 = tuple2_proj_2(sF17,candidate1,sF22) )
| ~ spl36_29
| ~ spl36_66 ),
inference(subsumption_resolution,[],[f2044,f826]) ).
tff(f2044,plain,
( ( sF21 = tuple2_proj_2(sF17,candidate1,sF22) )
| ~ sort(candidate1,sF21)
| ~ spl36_29 ),
inference(superposition,[],[f319,f549]) ).
tff(f2059,plain,
( spl36_154
| ~ spl36_12
| ~ spl36_29 ),
inference(avatar_split_clause,[],[f2054,f547,f461,f2056]) ).
tff(f2054,plain,
( ( sF19 = tuple2_proj_1(sF17,candidate1,sF22) )
| ~ spl36_12
| ~ spl36_29 ),
inference(subsumption_resolution,[],[f2043,f817]) ).
tff(f2043,plain,
( ( sF19 = tuple2_proj_1(sF17,candidate1,sF22) )
| ~ sort(sF17,sF19)
| ~ spl36_29 ),
inference(superposition,[],[f353,f549]) ).
tff(f2053,plain,
( spl36_67
| ~ spl36_153
| ~ spl36_29
| ~ spl36_32
| ~ spl36_36
| ~ spl36_66 ),
inference(avatar_split_clause,[],[f2048,f824,f582,f562,f547,f2050,f829]) ).
tff(f2050,plain,
( spl36_153
<=> $less(sF16,$product(2,sF24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_153])]) ).
tff(f2048,plain,
( ~ $less(sF16,$product(2,sF24))
| ( tb2t3(sF21) = sK2 )
| ~ spl36_29
| ~ spl36_32
| ~ spl36_36
| ~ spl36_66 ),
inference(forward_demodulation,[],[f2047,f584]) ).
tff(f2047,plain,
( ~ $less(sF16,$product(2,num_of(sF23,0,sF14)))
| ( tb2t3(sF21) = sK2 )
| ~ spl36_29
| ~ spl36_32
| ~ spl36_66 ),
inference(forward_demodulation,[],[f2046,f564]) ).
tff(f2046,plain,
( ( tb2t3(sF21) = sK2 )
| ~ $less(sF16,$product(2,num_of(tb2t1(sF22),0,sF14)))
| ~ spl36_29
| ~ spl36_66 ),
inference(subsumption_resolution,[],[f2042,f826]) ).
tff(f2042,plain,
( ( tb2t3(sF21) = sK2 )
| ~ $less(sF16,$product(2,num_of(tb2t1(sF22),0,sF14)))
| ~ sort(candidate1,sF21)
| ~ spl36_29 ),
inference(superposition,[],[f953,f549]) ).
tff(f953,plain,
! [X0: uni] :
( ~ $less(sF16,$product(2,num_of(tb2t1(tuple21(sF17,candidate1,sF19,X0)),0,sF14)))
| ( tb2t3(X0) = sK2 )
| ~ sort(candidate1,X0) ),
inference(superposition,[],[f373,f312]) ).
tff(f373,plain,
! [X4: candidate] :
( ~ $less(sF16,$product(2,num_of(tb2t1(tuple21(sF17,candidate1,sF19,t2tb3(X4))),0,sF14)))
| ( sK2 = X4 ) ),
inference(definition_folding,[],[f305,f367,f366,f365,f372,f371,f370,f369,f368,f367,f366,f365]) ).
tff(f368,plain,
$uminus(sK3) = sF15,
introduced(function_definition,[]) ).
tff(f369,plain,
$sum(sF14,sF15) = sF16,
introduced(function_definition,[]) ).
tff(f370,plain,
array(candidate1) = sF17,
introduced(function_definition,[]) ).
tff(f371,plain,
sF18 = t2tb4(sK1),
introduced(function_definition,[]) ).
tff(f372,plain,
sF19 = mk_array(candidate1,sK0,sF18),
introduced(function_definition,[]) ).
tff(f365,plain,
sF12 = $uminus(1),
introduced(function_definition,[]) ).
tff(f366,plain,
$sum(sK0,sF12) = sF13,
introduced(function_definition,[]) ).
tff(f367,plain,
sF14 = $sum(sF13,1),
introduced(function_definition,[]) ).
tff(f305,plain,
! [X4: candidate] :
( ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X4))),0,$sum($sum(sK0,$uminus(1)),1))))
| ( sK2 = X4 ) ),
inference(cnf_transformation,[],[f224]) ).
tff(f224,plain,
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X4))),0,$sum($sum(sK0,$uminus(1)),1))))
| ( sK2 = X4 ) )
& ~ $less(sK0,$product(2,sK3))
& ~ $less(sK3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),sK3)
& ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),$uminus(sK3))))
& ( 0 != sK3 )
& ( 0 = sK4 )
& ~ $less($sum(sK0,$uminus(1)),0)
& $less(sK0,$product(2,sK7))
& ( $sum(sK6,1) = sK7 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0)))
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK5) = sK6 )
& $less(sK5,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(sK5))) = sK2 )
& ~ $less(sK0,$product(2,sK6))
& ~ $less(sK5,0)
& ~ $less(sK5,0)
& ~ $less($sum(sK0,$uminus(1)),sK5)
& ~ $less(sK0,0)
& $less(0,sK0)
& ~ $less(sK0,1)
& ~ $less($sum(sK0,$uminus(1)),0)
& ~ $less(0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f218,f223,f222,f221,f220,f219]) ).
tff(f219,plain,
( ? [X0: $int,X1: map_int_candidate] :
( ? [X2: candidate,X3: $int] :
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X4))),0,$sum($sum(X0,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(X0,$product(2,X3))
& ~ $less(X3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,$sum($sum(X0,$uminus(1)),1)),X3)
& ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,$sum($sum(X0,$uminus(1)),1)),$uminus(X3))))
& ( 0 != X3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(X0,$uminus(1)),0)
& ? [X6: $int,X7: $int] :
( ? [X8: $int] :
( $less(X0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,X0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,X6) = X7 )
& $less(X6,X0)
& ( tb2t3(get(candidate1,int,t2tb4(X1),t2tb(X6))) = X2 )
& ~ $less(X0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(X0,$uminus(1)),X6) ) ) )
& ~ $less(X0,0)
& $less(0,X0)
& ~ $less(X0,1)
& ~ $less($sum(X0,$uminus(1)),0)
& ~ $less(0,0) )
=> ( ? [X3: $int,X2: candidate] :
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X4))),0,$sum($sum(sK0,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(sK0,$product(2,X3))
& ~ $less(X3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,$sum($sum(sK0,$uminus(1)),1)),X3)
& ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,$sum($sum(sK0,$uminus(1)),1)),$uminus(X3))))
& ( 0 != X3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(sK0,$uminus(1)),0)
& ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = X2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) ) ) )
& ~ $less(sK0,0)
& $less(0,sK0)
& ~ $less(sK0,1)
& ~ $less($sum(sK0,$uminus(1)),0)
& ~ $less(0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f220,plain,
( ? [X3: $int,X2: candidate] :
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X4))),0,$sum($sum(sK0,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(sK0,$product(2,X3))
& ~ $less(X3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,$sum($sum(sK0,$uminus(1)),1)),X3)
& ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,$sum($sum(sK0,$uminus(1)),1)),$uminus(X3))))
& ( 0 != X3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(sK0,$uminus(1)),0)
& ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = X2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) ) ) )
=> ( ! [X4: candidate] :
( ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(X4))),0,$sum($sum(sK0,$uminus(1)),1))))
| ( sK2 = X4 ) )
& ~ $less(sK0,$product(2,sK3))
& ~ $less(sK3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),sK3)
& ~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),$uminus(sK3))))
& ( 0 != sK3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(sK0,$uminus(1)),0)
& ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = sK2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f221,plain,
( ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(sK0,$uminus(1)),0)
& ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = sK2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) ) )
=> ( ( 0 = sK4 )
& ~ $less($sum(sK0,$uminus(1)),0)
& ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = sK2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) ) ) ),
introduced(choice_axiom,[]) ).
tff(f222,plain,
( ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,X6) = X7 )
& $less(X6,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(X6))) = sK2 )
& ~ $less(sK0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(sK0,$uminus(1)),X6) )
=> ( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(sK6,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK5) = sK6 )
& $less(sK5,sK0)
& ( tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(sK5))) = sK2 )
& ~ $less(sK0,$product(2,sK6))
& ~ $less(sK5,0)
& ~ $less(sK5,0)
& ~ $less($sum(sK0,$uminus(1)),sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f223,plain,
( ? [X8: $int] :
( $less(sK0,$product(2,X8))
& ( $sum(sK6,1) = X8 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) )
=> ( $less(sK0,$product(2,sK7))
& ( $sum(sK6,1) = sK7 )
& ~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))) ) ),
introduced(choice_axiom,[]) ).
tff(f218,plain,
? [X0: $int,X1: map_int_candidate] :
( ? [X2: candidate,X3: $int] :
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X4))),0,$sum($sum(X0,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(X0,$product(2,X3))
& ~ $less(X3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,$sum($sum(X0,$uminus(1)),1)),X3)
& ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,$sum($sum(X0,$uminus(1)),1)),$uminus(X3))))
& ( 0 != X3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(X0,$uminus(1)),0)
& ? [X6: $int,X7: $int] :
( ? [X8: $int] :
( $less(X0,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,X0))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X1)),t2tb3(X2))),0,X6) = X7 )
& $less(X6,X0)
& ( tb2t3(get(candidate1,int,t2tb4(X1),t2tb(X6))) = X2 )
& ~ $less(X0,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(X0,$uminus(1)),X6) ) ) )
& ~ $less(X0,0)
& $less(0,X0)
& ~ $less(X0,1)
& ~ $less($sum(X0,$uminus(1)),0)
& ~ $less(0,0) ),
inference(rectify,[],[f198]) ).
tff(f198,plain,
? [X1: $int,X0: map_int_candidate] :
( ? [X2: candidate,X3: $int] :
( ! [X4: candidate] :
( ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X4))),0,$sum($sum(X1,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(X1,$product(2,X3))
& ~ $less(X3,0)
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),X3)
& ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),$uminus(X3))))
& ( 0 != X3 )
& ? [X5: $int] :
( ( 0 = X5 )
& ~ $less($sum(X1,$uminus(1)),0)
& ? [X6: $int,X7: $int] :
( ? [X8: $int] :
( $less(X1,$product(2,X8))
& ( $sum(X7,1) = X8 )
& ~ $less(X1,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X1))) )
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X6) = X7 )
& $less(X6,X1)
& ( tb2t3(get(candidate1,int,t2tb4(X0),t2tb(X6))) = X2 )
& ~ $less(X1,$product(2,X7))
& ~ $less(X6,0)
& ~ $less(X6,0)
& ~ $less($sum(X1,$uminus(1)),X6) ) ) )
& ~ $less(X1,0)
& $less(0,X1)
& ~ $less(X1,1)
& ~ $less($sum(X1,$uminus(1)),0)
& ~ $less(0,0) ),
inference(flattening,[],[f197]) ).
tff(f197,plain,
? [X0: map_int_candidate,X1: $int] :
( ? [X2: candidate,X3: $int] :
( ? [X5: $int] :
( ? [X7: $int,X6: $int] :
( ? [X8: $int] :
( ~ $less(X1,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X1)))
& $less(X1,$product(2,X8))
& ( $sum(X7,1) = X8 ) )
& ( tb2t3(get(candidate1,int,t2tb4(X0),t2tb(X6))) = X2 )
& $less(X6,X1)
& ~ $less(X6,0)
& ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X6) = X7 )
& ~ $less(X1,$product(2,X7))
& ~ $less($sum(X1,$uminus(1)),X6)
& ~ $less(X6,0) )
& ~ $less($sum(X1,$uminus(1)),0)
& ( 0 = X5 ) )
& ~ $less(X1,$product(2,X3))
& ( 0 != X3 )
& ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),$uminus(X3))))
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),X3)
& ! [X4: candidate] :
( ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X4))),0,$sum($sum(X1,$uminus(1)),1))))
| ( X2 = X4 ) )
& ~ $less(X3,0) )
& ~ $less($sum(X1,$uminus(1)),0)
& ~ $less(0,0)
& $less(0,X1)
& ~ $less(X1,1)
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
~ ! [X0: map_int_candidate,X1: $int] :
( ( ~ $less(X1,1)
& ~ $less(X1,0) )
=> ( ( ~ $less(0,0)
& $less(0,X1) )
=> ( ~ $less($sum(X1,$uminus(1)),0)
=> ! [X2: candidate,X3: $int] :
( ( ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),$uminus(X3))))
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,$sum($sum(X1,$uminus(1)),1)),X3)
& ! [X4: candidate] :
( ( X2 != X4 )
=> ~ $less($sum($sum($sum(X1,$uminus(1)),1),$uminus(X3)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X4))),0,$sum($sum(X1,$uminus(1)),1)))) )
& ~ $less(X3,0) )
=> ( ( 0 != X3 )
=> ( ~ $less(X1,$product(2,X3))
=> ! [X5: $int] :
( ( 0 = X5 )
=> ( ~ $less($sum(X1,$uminus(1)),0)
=> ! [X7: $int,X6: $int] :
( ( ~ $less($sum(X1,$uminus(1)),X6)
& ~ $less(X6,0) )
=> ( ( ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X6) = X7 )
& ~ $less(X1,$product(2,X7)) )
=> ( ( $less(X6,X1)
& ~ $less(X6,0) )
=> ( ( tb2t3(get(candidate1,int,t2tb4(X0),t2tb(X6))) = X2 )
=> ! [X8: $int] :
( ( $sum(X7,1) = X8 )
=> ( $less(X1,$product(2,X8))
=> $less(X1,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X1,t2tb4(X0)),t2tb3(X2))),0,X1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
~ ! [X10: map_int_candidate,X0: $int] :
( ( ~ $less(X0,1)
& ~ $less(X0,0) )
=> ( ( ~ $less(0,0)
& $less(0,X0) )
=> ( ~ $less($sum(X0,$uminus(1)),0)
=> ! [X24: candidate,X20: $int] :
( ( ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X20)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($sum(X0,$uminus(1)),1)),$uminus(X20))))
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($sum(X0,$uminus(1)),1)),X20)
& ~ $less(X20,0)
& ! [X19: candidate] :
( ( X19 != X24 )
=> ~ $less($sum($sum($sum(X0,$uminus(1)),1),$uminus(X20)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X19))),0,$sum($sum(X0,$uminus(1)),1)))) ) )
=> ( ( 0 != X20 )
=> ( ~ $less(X0,$product(2,X20))
=> ! [X25: $int] :
( ( 0 = X25 )
=> ( ~ $less($sum(X0,$uminus(1)),0)
=> ! [X14: $int,X26: $int] :
( ( ~ $less(X14,0)
& ~ $less($sum(X0,$uminus(1)),X14) )
=> ( ( ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X14) = X26 )
& ~ $less(X0,$product(2,X26)) )
=> ( ( ~ $less(X14,0)
& $less(X14,X0) )
=> ( ( tb2t3(get(candidate1,int,t2tb4(X10),t2tb(X14))) = X24 )
=> ! [X27: $int] :
( ( $sum(X26,1) = X27 )
=> ( $less(X0,$product(2,X27))
=> $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f75]) ).
tff(f75,plain,
~ ! [X10: map_int_candidate,X0: $int] :
( ( ~ $less(X0,1)
& ~ $less(X0,0) )
=> ( ( ~ $less(0,0)
& $less(0,X0) )
=> ( ~ $less($sum(X0,$uminus(1)),0)
=> ! [X24: candidate,X20: $int] :
( ( ~ $less($sum($sum($difference(X0,1),1),$uminus(X20)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($difference(X0,1),1)),$uminus(X20))))
& ~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($sum(X0,$uminus(1)),1)),X20)
& ~ $less(X20,0)
& ! [X19: candidate] :
( ( X19 != X24 )
=> ~ $less($sum($sum($difference(X0,1),1),$uminus(X20)),$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X19))),0,$sum($sum(X0,$uminus(1)),1)))) ) )
=> ( ( 0 != X20 )
=> ( ~ $less(X0,$product(2,X20))
=> ! [X25: $int] :
( ( 0 = X25 )
=> ( ~ $less($sum(X0,$uminus(1)),0)
=> ! [X14: $int,X26: $int] :
( ( ~ $less(X14,0)
& ~ $less($sum(X0,$uminus(1)),X14) )
=> ( ( ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X14) = X26 )
& ~ $less(X0,$product(2,X26)) )
=> ( ( ~ $less(X14,0)
& $less(X14,X0) )
=> ( ( tb2t3(get(candidate1,int,t2tb4(X10),t2tb(X14))) = X24 )
=> ! [X27: $int] :
( ( $sum(X26,1) = X27 )
=> ( $less(X0,$product(2,X27))
=> $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f67]) ).
tff(f67,negated_conjecture,
~ ! [X10: map_int_candidate,X0: $int] :
( ( $lesseq(1,X0)
& $lesseq(0,X0) )
=> ( ( $lesseq(0,0)
& $less(0,X0) )
=> ( $lesseq(0,$difference(X0,1))
=> ! [X24: candidate,X20: $int] :
( ( $lesseq($product(2,$difference(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($difference(X0,1),1)),X20)),$difference($sum($difference(X0,1),1),X20))
& $lesseq(X20,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($difference(X0,1),1)))
& $lesseq(0,X20)
& ! [X19: candidate] :
( ( X19 != X24 )
=> $lesseq($product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X19))),0,$sum($difference(X0,1),1))),$difference($sum($difference(X0,1),1),X20)) ) )
=> ( ( 0 != X20 )
=> ( ~ $less(X0,$product(2,X20))
=> ! [X25: $int] :
( ( 0 = X25 )
=> ( $lesseq(0,$difference(X0,1))
=> ! [X14: $int,X26: $int] :
( ( $lesseq(0,X14)
& $lesseq(X14,$difference(X0,1)) )
=> ( ( ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X14) = X26 )
& $lesseq($product(2,X26),X0) )
=> ( ( $lesseq(0,X14)
& $less(X14,X0) )
=> ( ( tb2t3(get(candidate1,int,t2tb4(X10),t2tb(X14))) = X24 )
=> ! [X27: $int] :
( ( $sum(X26,1) = X27 )
=> ( $less(X0,$product(2,X27))
=> $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f66]) ).
tff(f66,conjecture,
! [X10: map_int_candidate,X0: $int] :
( ( $lesseq(1,X0)
& $lesseq(0,X0) )
=> ( ( $lesseq(0,0)
& $less(0,X0) )
=> ( $lesseq(0,$difference(X0,1))
=> ! [X24: candidate,X20: $int] :
( ( $lesseq($product(2,$difference(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($difference(X0,1),1)),X20)),$difference($sum($difference(X0,1),1),X20))
& $lesseq(X20,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,$sum($difference(X0,1),1)))
& $lesseq(0,X20)
& ! [X19: candidate] :
( ( X19 != X24 )
=> $lesseq($product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X19))),0,$sum($difference(X0,1),1))),$difference($sum($difference(X0,1),1),X20)) ) )
=> ( ( 0 != X20 )
=> ( ~ $less(X0,$product(2,X20))
=> ! [X25: $int] :
( ( 0 = X25 )
=> ( $lesseq(0,$difference(X0,1))
=> ! [X14: $int,X26: $int] :
( ( $lesseq(0,X14)
& $lesseq(X14,$difference(X0,1)) )
=> ( ( ( num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X14) = X26 )
& $lesseq($product(2,X26),X0) )
=> ( ( $lesseq(0,X14)
& $less(X14,X0) )
=> ( ( tb2t3(get(candidate1,int,t2tb4(X10),t2tb(X14))) = X24 )
=> ! [X27: $int] :
( ( $sum(X26,1) = X27 )
=> ( $less(X0,$product(2,X27))
=> $less(X0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,X0,t2tb4(X10)),t2tb3(X24))),0,X0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mjrty) ).
tff(f2021,plain,
( spl36_152
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f2020,f506,f431,f2015]) ).
tff(f2020,plain,
( ( $sum(0,sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f2019,f715]) ).
tff(f2019,plain,
( ( $sum(num_of(sF23,0,0),sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f2004,f508]) ).
tff(f2004,plain,
( ( $sum(num_of(sF23,0,0),sF29) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(interpreted_simplification,[],[f2003]) ).
tff(f2003,plain,
( $less(0,0)
| ( $sum(num_of(sF23,0,0),sF29) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(instantiation,[],[f1701]) ).
tff(f2018,plain,
( spl36_152
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f2013,f506,f431,f2015]) ).
tff(f2013,plain,
( ( $sum(0,sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f2012,f715]) ).
tff(f2012,plain,
( ( $sum(num_of(sF23,0,0),sF29) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f2008,f508]) ).
tff(f2008,plain,
( ( $sum(num_of(sF23,0,0),sF29) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(resolution,[],[f1701,f86]) ).
tff(f2002,plain,
( spl36_151
| ~ spl36_18
| ~ spl36_122 ),
inference(avatar_split_clause,[],[f1997,f1645,f491,f1999]) ).
tff(f1999,plain,
( spl36_151
<=> ( 2 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_151])]) ).
tff(f1997,plain,
( ( 2 = sF27 )
| ~ spl36_18
| ~ spl36_122 ),
inference(evaluation,[],[f1996]) ).
tff(f1996,plain,
( ( $product(2,1) = sF27 )
| ~ spl36_18
| ~ spl36_122 ),
inference(superposition,[],[f493,f1647]) ).
tff(f1647,plain,
( ( 1 = sK7 )
| ~ spl36_122 ),
inference(avatar_component_clause,[],[f1645]) ).
tff(f1973,plain,
( spl36_89
| ~ spl36_139
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1972,f582,f1900,f1076]) ).
tff(f1972,plain,
( ~ $less(sF24,0)
| $less(sF14,0)
| ~ spl36_36 ),
inference(forward_demodulation,[],[f1965,f715]) ).
tff(f1965,plain,
( ~ $less(sF24,num_of(sF23,0,0))
| $less(sF14,0)
| ~ spl36_36 ),
inference(interpreted_simplification,[],[f1964]) ).
tff(f1964,plain,
( $less(sF14,0)
| $less(0,0)
| ~ $less(sF24,num_of(sF23,0,0))
| ~ spl36_36 ),
inference(instantiation,[],[f1886]) ).
tff(f1957,plain,
( ~ spl36_150
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1952,f958,f582,f1954]) ).
tff(f1952,plain,
( ~ $less($sum(sF14,0),sF24)
| ~ spl36_36
| ~ spl36_81 ),
inference(subsumption_resolution,[],[f1897,f960]) ).
tff(f1897,plain,
( ~ $less(0,sF14)
| ~ $less($sum(sF14,0),sF24)
| ~ spl36_36 ),
inference(evaluation,[],[f1888]) ).
tff(f1888,plain,
( ~ $less(0,sF14)
| ~ $less($sum(sF14,$uminus(0)),sF24)
| ~ spl36_36 ),
inference(superposition,[],[f332,f584]) ).
tff(f1951,plain,
( ~ spl36_139
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1896,f582,f1900]) ).
tff(f1896,plain,
( ~ $less(sF24,0)
| ~ spl36_36 ),
inference(superposition,[],[f1844,f584]) ).
tff(f1950,plain,
( spl36_149
| ~ spl36_89
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1894,f582,f1076,f1948]) ).
tff(f1948,plain,
( spl36_149
<=> ! [X6: lparray_candidatecm_candidaterp] : ~ $less(sF24,num_of(X6,0,sF14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_149])]) ).
tff(f1894,plain,
( ! [X6: lparray_candidatecm_candidaterp] :
( ~ $less(sF14,0)
| ~ $less(sF24,num_of(X6,0,sF14)) )
| ~ spl36_36 ),
inference(superposition,[],[f1586,f584]) ).
tff(f1946,plain,
( spl36_89
| ~ spl36_139
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1881,f582,f1900,f1076]) ).
tff(f1881,plain,
( ~ $less(sF24,0)
| $less(sF14,0)
| ~ spl36_36 ),
inference(superposition,[],[f812,f584]) ).
tff(f1945,plain,
( spl36_89
| spl36_148
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1885,f582,f1943,f1076]) ).
tff(f1885,plain,
( ! [X2: $int] :
( $less(X2,sF14)
| ~ $less(num_of(sF23,0,X2),sF24)
| $less(sF14,0) )
| ~ spl36_36 ),
inference(superposition,[],[f325,f584]) ).
tff(f1941,plain,
( spl36_115
| spl36_147
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1889,f582,f1938,f1525]) ).
tff(f1889,plain,
( ( 0 = sF24 )
| $less(0,sF24)
| ~ spl36_36 ),
inference(superposition,[],[f722,f584]) ).
tff(f1936,plain,
( ~ spl36_145
| spl36_146
| spl36_6
| ~ spl36_21
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1880,f582,f506,f431,f1933,f1929]) ).
tff(f1880,plain,
( $less(sF14,sK0)
| ~ $less(sF24,sF29)
| spl36_6
| ~ spl36_21
| ~ spl36_36 ),
inference(superposition,[],[f1695,f584]) ).
tff(f1927,plain,
( ~ spl36_139
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1926,f958,f582,f1900]) ).
tff(f1926,plain,
( ~ $less(sF24,0)
| ~ spl36_36
| ~ spl36_81 ),
inference(subsumption_resolution,[],[f1887,f960]) ).
tff(f1887,plain,
( ~ $less(sF24,0)
| ~ $less(0,sF14)
| ~ spl36_36 ),
inference(superposition,[],[f331,f584]) ).
tff(f1925,plain,
( spl36_144
| spl36_89
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1882,f582,f1076,f1923]) ).
tff(f1882,plain,
( ! [X0: $int] :
( $less(sF14,0)
| $less(X0,sF14)
| ( $sum(sF24,num_of(sF23,sF14,X0)) = num_of(sF23,0,X0) ) )
| ~ spl36_36 ),
inference(superposition,[],[f267,f584]) ).
tff(f1921,plain,
( ~ spl36_143
| spl36_98
| spl36_89
| ~ spl36_21
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1879,f582,f506,f1076,f1247,f1918]) ).
tff(f1879,plain,
( $less(sF14,0)
| $less(sK0,sF14)
| ~ $less(sF29,sF24)
| ~ spl36_21
| ~ spl36_36 ),
inference(superposition,[],[f1660,f584]) ).
tff(f1916,plain,
( ~ spl36_139
| spl36_89
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1893,f582,f1076,f1900]) ).
tff(f1893,plain,
( $less(sF14,0)
| ~ $less(sF24,0)
| ~ spl36_36 ),
inference(superposition,[],[f813,f584]) ).
tff(f1915,plain,
( spl36_89
| spl36_142
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1883,f582,f1913,f1076]) ).
tff(f1883,plain,
( ! [X1: $int] :
( ( num_of(sF23,X1,sF14) = $sum(num_of(sF23,X1,0),sF24) )
| $less(0,X1)
| $less(sF14,0) )
| ~ spl36_36 ),
inference(superposition,[],[f267,f584]) ).
tff(f1911,plain,
( ~ spl36_89
| spl36_141
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1895,f582,f1909,f1076]) ).
tff(f1909,plain,
( spl36_141
<=> ! [X7: lparray_candidatecm_candidaterp] : ~ $less(num_of(X7,0,sF14),sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_141])]) ).
tff(f1895,plain,
( ! [X7: lparray_candidatecm_candidaterp] :
( ~ $less(num_of(X7,0,sF14),sF24)
| ~ $less(sF14,0) )
| ~ spl36_36 ),
inference(superposition,[],[f1586,f584]) ).
tff(f1907,plain,
( ~ spl36_115
| spl36_89
| spl36_140
| ~ spl36_36 ),
inference(avatar_split_clause,[],[f1890,f582,f1905,f1076,f1525]) ).
tff(f1890,plain,
( ! [X4: $int] :
( $less(0,X4)
| $less(sF14,0)
| ~ $less(0,sF24)
| $less(X4,sF14) )
| ~ spl36_36 ),
inference(superposition,[],[f806,f584]) ).
tff(f1903,plain,
( ~ spl36_139
| spl36_128
| ~ spl36_36
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1898,f958,f582,f1698,f1900]) ).
tff(f1698,plain,
( spl36_128
<=> ! [X5: $int] :
( $less(X5,0)
| $less(0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_128])]) ).
tff(f1898,plain,
( ! [X5: $int] :
( $less(X5,0)
| $less(0,X5)
| ~ $less(sF24,0) )
| ~ spl36_36
| ~ spl36_81 ),
inference(subsumption_resolution,[],[f1892,f1036]) ).
tff(f1892,plain,
( ! [X5: $int] :
( $less(sF14,X5)
| $less(X5,0)
| ~ $less(sF24,0)
| $less(0,X5) )
| ~ spl36_36 ),
inference(superposition,[],[f809,f584]) ).
tff(f1877,plain,
( spl36_64
| spl36_78
| ~ spl36_3
| ~ spl36_60 ),
inference(avatar_split_clause,[],[f1876,f731,f416,f937,f763]) ).
tff(f731,plain,
( spl36_60
<=> $less(1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_60])]) ).
tff(f1876,plain,
( $less(1,sF27)
| ( sK0 = sF27 )
| ~ spl36_3
| ~ spl36_60 ),
inference(subsumption_resolution,[],[f1874,f86]) ).
tff(f1874,plain,
( $less(sK0,sK0)
| ( sK0 = sF27 )
| $less(1,sF27)
| ~ spl36_3
| ~ spl36_60 ),
inference(resolution,[],[f1793,f638]) ).
tff(f1793,plain,
( ! [X2: $int] :
( ~ $less(sK0,X2)
| $less(1,X2) )
| ~ spl36_60 ),
inference(resolution,[],[f733,f87]) ).
tff(f733,plain,
( $less(1,sK0)
| ~ spl36_60 ),
inference(avatar_component_clause,[],[f731]) ).
tff(f1875,plain,
( spl36_78
| ~ spl36_3
| ~ spl36_60 ),
inference(avatar_split_clause,[],[f1872,f731,f416,f937]) ).
tff(f1872,plain,
( $less(1,sF27)
| ~ spl36_3
| ~ spl36_60 ),
inference(resolution,[],[f1793,f418]) ).
tff(f1869,plain,
( spl36_138
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1864,f506,f431,f1866]) ).
tff(f1864,plain,
( ( $sum(sF29,0) = sF29 )
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f1863,f508]) ).
tff(f1863,plain,
( ( $sum(sF29,0) = num_of(sF23,0,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1862,f86]) ).
tff(f1862,plain,
( ( $sum(sF29,0) = num_of(sF23,0,sK0) )
| $less(sK0,sK0)
| spl36_6
| ~ spl36_21 ),
inference(superposition,[],[f1694,f789]) ).
tff(f1859,plain,
( ~ spl36_124
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1858,f506,f1671]) ).
tff(f1858,plain,
( ~ $less(sF29,0)
| ~ spl36_21 ),
inference(superposition,[],[f1844,f508]) ).
tff(f1790,plain,
( spl36_137
| ~ spl36_68
| ~ spl36_30 ),
inference(avatar_split_clause,[],[f1773,f552,f844,f1787]) ).
tff(f844,plain,
( spl36_68
<=> sort(map(int,candidate1),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_68])]) ).
tff(f552,plain,
( spl36_30
<=> ( sF19 = mk_array(candidate1,sK0,sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_30])]) ).
tff(f1773,plain,
( ~ sort(map(int,candidate1),sF18)
| ( sF18 = elts(candidate1,sF19) )
| ~ spl36_30 ),
inference(superposition,[],[f307,f554]) ).
tff(f554,plain,
( ( sF19 = mk_array(candidate1,sK0,sF18) )
| ~ spl36_30 ),
inference(avatar_component_clause,[],[f552]) ).
tff(f307,plain,
! [X2: $int,X0: ty,X1: uni] :
( ( elts(X0,mk_array(X0,X2,X1)) = X1 )
| ~ sort(map(int,X0),X1) ),
inference(cnf_transformation,[],[f225]) ).
tff(f225,plain,
! [X0: ty,X1: uni,X2: $int] :
( ~ sort(map(int,X0),X1)
| ( elts(X0,mk_array(X0,X2,X1)) = X1 ) ),
inference(rectify,[],[f178]) ).
tff(f178,plain,
! [X2: ty,X0: uni,X1: $int] :
( ~ sort(map(int,X2),X0)
| ( elts(X2,mk_array(X2,X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: uni,X1: $int,X2: ty] :
( sort(map(int,X2),X0)
=> ( elts(X2,mk_array(X2,X1,X0)) = X0 ) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X13: uni,X6: $int,X0: ty] :
( sort(map(int,X0),X13)
=> ( elts(X0,mk_array(X0,X6,X13)) = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def) ).
tff(f1785,plain,
( spl36_136
| ~ spl36_30 ),
inference(avatar_split_clause,[],[f1772,f552,f1782]) ).
tff(f1772,plain,
( ( mk_array(candidate1,sK0,elts(candidate1,sF19)) = sF19 )
| ~ spl36_30 ),
inference(superposition,[],[f737,f554]) ).
tff(f737,plain,
! [X2: uni,X0: ty,X1: $int] : ( mk_array(X0,X1,X2) = mk_array(X0,X1,elts(X0,mk_array(X0,X1,X2))) ),
inference(superposition,[],[f281,f266]) ).
tff(f266,plain,
! [X2: ty,X0: $int,X1: uni] : ( length(X2,mk_array(X2,X0,X1)) = X0 ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: $int,X1: uni,X2: ty] : ( length(X2,mk_array(X2,X0,X1)) = X0 ),
inference(rectify,[],[f103]) ).
tff(f103,plain,
! [X2: $int,X0: uni,X1: ty] : ( length(X1,mk_array(X1,X2,X0)) = X2 ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X13: uni,X0: ty,X6: $int] : ( length(X0,mk_array(X0,X6,X13)) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def) ).
tff(f1780,plain,
( spl36_135
| ~ spl36_30 ),
inference(avatar_split_clause,[],[f1774,f552,f1777]) ).
tff(f1774,plain,
( ( length(candidate1,sF19) = sK0 )
| ~ spl36_30 ),
inference(superposition,[],[f266,f554]) ).
tff(f1764,plain,
( spl36_103
| spl36_134 ),
inference(avatar_split_clause,[],[f1760,f1762,f1307]) ).
tff(f1762,plain,
( spl36_134
<=> ! [X1: $int] :
( ~ $less(1,X1)
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_134])]) ).
tff(f1760,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(1,X1)
| ( 0 = num_of(X0,0,1) )
| $less(0,X1) ),
inference(subsumption_resolution,[],[f1754,f980]) ).
tff(f1754,plain,
! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( 0 = num_of(X0,0,1) )
| ~ pr(X0,0)
| $less(0,X1)
| ~ $less(1,X1) ),
inference(superposition,[],[f1176,f1081]) ).
tff(f1759,plain,
( spl36_87
| spl36_133
| ~ spl36_3 ),
inference(avatar_split_clause,[],[f1753,f416,f1757,f1067]) ).
tff(f1757,plain,
( spl36_133
<=> ! [X3: lparray_candidatecm_candidaterp] :
( ( num_of(X3,0,1) = sF27 )
| ~ pr(X3,0)
| $less(sK0,num_of(X3,0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_133])]) ).
tff(f1753,plain,
( ! [X3: lparray_candidatecm_candidaterp] :
( ( num_of(X3,0,1) = sF27 )
| $less(sK0,num_of(X3,0,1))
| $less(0,sF27)
| ~ pr(X3,0) )
| ~ spl36_3 ),
inference(resolution,[],[f1176,f638]) ).
tff(f1748,plain,
( ~ spl36_124
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1747,f506,f431,f1671]) ).
tff(f1747,plain,
( ~ $less(sF29,0)
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1731,f433]) ).
tff(f1731,plain,
( ~ $less(sF29,0)
| $less(sK0,0)
| ~ spl36_21 ),
inference(evaluation,[],[f1730]) ).
tff(f1730,plain,
( $less(sK0,0)
| ~ $less(sF29,0)
| $less(0,0)
| ~ spl36_21 ),
inference(superposition,[],[f1660,f789]) ).
tff(f1746,plain,
( ~ spl36_124
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1745,f506,f431,f1671]) ).
tff(f1745,plain,
( ~ $less(sF29,0)
| spl36_6
| ~ spl36_21 ),
inference(forward_demodulation,[],[f1744,f715]) ).
tff(f1744,plain,
( ~ $less(sF29,num_of(sF23,0,0))
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1724,f433]) ).
tff(f1724,plain,
( $less(sK0,0)
| ~ $less(sF29,num_of(sF23,0,0))
| ~ spl36_21 ),
inference(interpreted_simplification,[],[f1723]) ).
tff(f1723,plain,
( ~ $less(sF29,num_of(sF23,0,0))
| $less(0,0)
| $less(sK0,0)
| ~ spl36_21 ),
inference(instantiation,[],[f1660]) ).
tff(f1743,plain,
( ~ spl36_132
| spl36_130
| ~ spl36_21
| spl36_38 ),
inference(avatar_split_clause,[],[f1738,f592,f506,f1715,f1740]) ).
tff(f1738,plain,
( ( 0 = num_of(sF23,0,1) )
| ~ $less(sF29,1)
| ~ spl36_21
| spl36_38 ),
inference(subsumption_resolution,[],[f1732,f594]) ).
tff(f1732,plain,
( ( 0 = num_of(sF23,0,1) )
| ~ $less(sF29,1)
| $less(sK0,1)
| ~ spl36_21 ),
inference(evaluation,[],[f1728]) ).
tff(f1728,plain,
( $less(sK0,1)
| ( 0 = num_of(sF23,0,1) )
| ~ $less(sF29,1)
| $less(1,0)
| ~ spl36_21 ),
inference(superposition,[],[f1660,f1081]) ).
tff(f1737,plain,
( ~ spl36_124
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1736,f506,f431,f1671]) ).
tff(f1736,plain,
( ~ $less(sF29,0)
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1733,f433]) ).
tff(f1733,plain,
( $less(sK0,0)
| ~ $less(sF29,0)
| ~ spl36_21 ),
inference(evaluation,[],[f1727]) ).
tff(f1727,plain,
( $less(0,0)
| ~ $less(sF29,0)
| $less(sK0,0)
| ~ spl36_21 ),
inference(superposition,[],[f1660,f715]) ).
tff(f1735,plain,
( ~ spl36_124
| spl36_128
| ~ spl36_11
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1734,f506,f456,f1698,f1671]) ).
tff(f1734,plain,
( ! [X0: $int] :
( $less(0,X0)
| ~ $less(sF29,0)
| $less(X0,0) )
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1729,f627]) ).
tff(f1729,plain,
( ! [X0: $int] :
( $less(sK0,X0)
| ~ $less(sF29,0)
| $less(X0,0)
| $less(0,X0) )
| ~ spl36_21 ),
inference(superposition,[],[f1660,f282]) ).
tff(f1722,plain,
( spl36_130
| spl36_60
| ~ spl36_131
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1710,f506,f431,f1719,f731,f1715]) ).
tff(f1710,plain,
( ~ $less(1,sF29)
| $less(1,sK0)
| ( 0 = num_of(sF23,0,1) )
| spl36_6
| ~ spl36_21 ),
inference(superposition,[],[f1695,f1081]) ).
tff(f1713,plain,
( ~ spl36_125
| spl36_126
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1711,f506,f431,f1681,f1677]) ).
tff(f1711,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK0)
| ~ $less(0,sF29) )
| spl36_6
| ~ spl36_21 ),
inference(superposition,[],[f1695,f282]) ).
tff(f1706,plain,
( spl36_129
| spl36_125
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1663,f506,f1677,f1703]) ).
tff(f1703,plain,
( spl36_129
<=> ( 0 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_129])]) ).
tff(f1663,plain,
( $less(0,sF29)
| ( 0 = sF29 )
| ~ spl36_21 ),
inference(superposition,[],[f722,f508]) ).
tff(f1700,plain,
( ~ spl36_124
| spl36_128
| ~ spl36_11
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1696,f506,f456,f1698,f1671]) ).
tff(f1696,plain,
( ! [X5: $int] :
( $less(X5,0)
| $less(0,X5)
| ~ $less(sF29,0) )
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1666,f627]) ).
tff(f1666,plain,
( ! [X5: $int] :
( ~ $less(sF29,0)
| $less(0,X5)
| $less(X5,0)
| $less(sK0,X5) )
| ~ spl36_21 ),
inference(superposition,[],[f809,f508]) ).
tff(f1693,plain,
( ~ spl36_127
| ~ spl36_11
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1688,f506,f456,f1690]) ).
tff(f1688,plain,
( ~ $less($sum(sK0,0),sF29)
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1668,f458]) ).
tff(f1668,plain,
( ~ $less($sum(sK0,0),sF29)
| ~ $less(0,sK0)
| ~ spl36_21 ),
inference(evaluation,[],[f1662]) ).
tff(f1662,plain,
( ~ $less(0,sK0)
| ~ $less($sum(sK0,$uminus(0)),sF29)
| ~ spl36_21 ),
inference(superposition,[],[f332,f508]) ).
tff(f1687,plain,
( ~ spl36_124
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1686,f506,f431,f1671]) ).
tff(f1686,plain,
( ~ $less(sF29,0)
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1667,f433]) ).
tff(f1667,plain,
( $less(sK0,0)
| ~ $less(sF29,0)
| ~ spl36_21 ),
inference(superposition,[],[f813,f508]) ).
tff(f1685,plain,
( ~ spl36_124
| ~ spl36_11
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1684,f506,f456,f1671]) ).
tff(f1684,plain,
( ~ $less(sF29,0)
| ~ spl36_11
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1661,f458]) ).
tff(f1661,plain,
( ~ $less(sF29,0)
| ~ $less(0,sK0)
| ~ spl36_21 ),
inference(superposition,[],[f331,f508]) ).
tff(f1683,plain,
( ~ spl36_125
| spl36_126
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1675,f506,f431,f1681,f1677]) ).
tff(f1675,plain,
( ! [X4: $int] :
( $less(0,X4)
| ~ $less(0,sF29)
| $less(X4,sK0) )
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1664,f433]) ).
tff(f1664,plain,
( ! [X4: $int] :
( ~ $less(0,sF29)
| $less(sK0,0)
| $less(0,X4)
| $less(X4,sK0) )
| ~ spl36_21 ),
inference(superposition,[],[f806,f508]) ).
tff(f1674,plain,
( ~ spl36_124
| spl36_6
| ~ spl36_21 ),
inference(avatar_split_clause,[],[f1669,f506,f431,f1671]) ).
tff(f1669,plain,
( ~ $less(sF29,0)
| spl36_6
| ~ spl36_21 ),
inference(subsumption_resolution,[],[f1655,f433]) ).
tff(f1655,plain,
( ~ $less(sF29,0)
| $less(sK0,0)
| ~ spl36_21 ),
inference(superposition,[],[f812,f508]) ).
tff(f1653,plain,
( spl36_123
| ~ spl36_13
| ~ spl36_121 ),
inference(avatar_split_clause,[],[f1642,f1591,f466,f1650]) ).
tff(f1650,plain,
( spl36_123
<=> ( 0 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_123])]) ).
tff(f466,plain,
( spl36_13
<=> ( $product(2,sK6) = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_13])]) ).
tff(f1642,plain,
( ( 0 = sF35 )
| ~ spl36_13
| ~ spl36_121 ),
inference(evaluation,[],[f1641]) ).
tff(f1641,plain,
( ( $product(2,0) = sF35 )
| ~ spl36_13
| ~ spl36_121 ),
inference(superposition,[],[f468,f1593]) ).
tff(f1593,plain,
( ( 0 = sK6 )
| ~ spl36_121 ),
inference(avatar_component_clause,[],[f1591]) ).
tff(f468,plain,
( ( $product(2,sK6) = sF35 )
| ~ spl36_13 ),
inference(avatar_component_clause,[],[f466]) ).
tff(f1648,plain,
( spl36_122
| ~ spl36_93
| ~ spl36_121 ),
inference(avatar_split_clause,[],[f1643,f1591,f1171,f1645]) ).
tff(f1643,plain,
( ( 1 = sK7 )
| ~ spl36_93
| ~ spl36_121 ),
inference(evaluation,[],[f1640]) ).
tff(f1640,plain,
( ( $sum(0,1) = sK7 )
| ~ spl36_93
| ~ spl36_121 ),
inference(superposition,[],[f1173,f1593]) ).
tff(f1594,plain,
( spl36_121
| ~ spl36_1
| ~ spl36_9
| ~ spl36_45 ),
inference(avatar_split_clause,[],[f1589,f645,f446,f406,f1591]) ).
tff(f645,plain,
( spl36_45
<=> ( 0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_45])]) ).
tff(f1589,plain,
( ( 0 = sK6 )
| ~ spl36_1
| ~ spl36_9
| ~ spl36_45 ),
inference(forward_demodulation,[],[f1588,f715]) ).
tff(f1588,plain,
( ( sK6 = num_of(sF23,0,0) )
| ~ spl36_1
| ~ spl36_9
| ~ spl36_45 ),
inference(forward_demodulation,[],[f1587,f647]) ).
tff(f647,plain,
( ( 0 = sK5 )
| ~ spl36_45 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f1561,plain,
( spl36_119
| ~ spl36_120
| ~ spl36_99 ),
inference(avatar_split_clause,[],[f1552,f1252,f1558,f1555]) ).
tff(f1552,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ~ $less(sF13,sK0)
| ( 1 = num_of(X2,sF13,sK0) )
| ~ pr(X2,sF13) )
| ~ spl36_99 ),
inference(evaluation,[],[f1549]) ).
tff(f1549,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ~ $less(sF13,sK0)
| ( num_of(X2,sF13,sK0) = $sum(1,0) )
| ~ pr(X2,sF13) )
| ~ spl36_99 ),
inference(superposition,[],[f1506,f789]) ).
tff(f1547,plain,
( spl36_116
| spl36_117
| spl36_118
| ~ spl36_3
| ~ spl36_56 ),
inference(avatar_split_clause,[],[f1534,f696,f416,f1544,f1540,f1536]) ).
tff(f1540,plain,
( spl36_117
<=> ( sF24 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_117])]) ).
tff(f1544,plain,
( spl36_118
<=> $less(sK0,sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_118])]) ).
tff(f1534,plain,
( $less(sK0,sF24)
| ( sF24 = sF27 )
| $less(sK3,sF27)
| ~ spl36_3
| ~ spl36_56 ),
inference(resolution,[],[f1522,f638]) ).
tff(f1522,plain,
( ! [X3: $int] :
( ~ $less(sF24,X3)
| $less(sK3,X3) )
| ~ spl36_56 ),
inference(resolution,[],[f698,f87]) ).
tff(f1528,plain,
( spl36_115
| ~ spl36_50
| ~ spl36_56 ),
inference(avatar_split_clause,[],[f1518,f696,f669,f1525]) ).
tff(f1518,plain,
( $less(0,sF24)
| ~ spl36_50
| ~ spl36_56 ),
inference(resolution,[],[f698,f835]) ).
tff(f835,plain,
( ! [X0: $int] :
( ~ $less(sK3,X0)
| $less(0,X0) )
| ~ spl36_50 ),
inference(resolution,[],[f671,f87]) ).
tff(f1517,plain,
( spl36_114
| ~ spl36_3
| ~ spl36_54 ),
inference(avatar_split_clause,[],[f1508,f687,f416,f1513]) ).
tff(f1513,plain,
( spl36_114
<=> $less(sF30,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_114])]) ).
tff(f687,plain,
( spl36_54
<=> $less(sF30,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_54])]) ).
tff(f1508,plain,
( $less(sF30,sF27)
| ~ spl36_3
| ~ spl36_54 ),
inference(resolution,[],[f1505,f418]) ).
tff(f1505,plain,
( ! [X2: $int] :
( ~ $less(sK0,X2)
| $less(sF30,X2) )
| ~ spl36_54 ),
inference(resolution,[],[f689,f87]) ).
tff(f689,plain,
( $less(sF30,sK0)
| ~ spl36_54 ),
inference(avatar_component_clause,[],[f687]) ).
tff(f1516,plain,
( spl36_64
| spl36_114
| ~ spl36_3
| ~ spl36_54 ),
inference(avatar_split_clause,[],[f1511,f687,f416,f1513,f763]) ).
tff(f1511,plain,
( $less(sF30,sF27)
| ( sK0 = sF27 )
| ~ spl36_3
| ~ spl36_54 ),
inference(subsumption_resolution,[],[f1510,f86]) ).
tff(f1510,plain,
( $less(sF30,sF27)
| ( sK0 = sF27 )
| $less(sK0,sK0)
| ~ spl36_3
| ~ spl36_54 ),
inference(resolution,[],[f1505,f638]) ).
tff(f1495,plain,
( spl36_113
| ~ spl36_3
| ~ spl36_52 ),
inference(avatar_split_clause,[],[f1486,f678,f416,f1491]) ).
tff(f678,plain,
( spl36_52
<=> $less(sF20,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_52])]) ).
tff(f1486,plain,
( $less(sF20,sF27)
| ~ spl36_3
| ~ spl36_52 ),
inference(resolution,[],[f1465,f418]) ).
tff(f1465,plain,
( ! [X2: $int] :
( ~ $less(sK0,X2)
| $less(sF20,X2) )
| ~ spl36_52 ),
inference(resolution,[],[f680,f87]) ).
tff(f680,plain,
( $less(sF20,sK0)
| ~ spl36_52 ),
inference(avatar_component_clause,[],[f678]) ).
tff(f1494,plain,
( spl36_113
| spl36_64
| ~ spl36_3
| ~ spl36_52 ),
inference(avatar_split_clause,[],[f1489,f678,f416,f763,f1491]) ).
tff(f1489,plain,
( ( sK0 = sF27 )
| $less(sF20,sF27)
| ~ spl36_3
| ~ spl36_52 ),
inference(subsumption_resolution,[],[f1488,f86]) ).
tff(f1488,plain,
( $less(sF20,sF27)
| ( sK0 = sF27 )
| $less(sK0,sK0)
| ~ spl36_3
| ~ spl36_52 ),
inference(resolution,[],[f1465,f638]) ).
tff(f1485,plain,
( ~ spl36_111
| ~ spl36_112
| ~ spl36_3 ),
inference(avatar_split_clause,[],[f1471,f416,f1482,f1478]) ).
tff(f1482,plain,
( spl36_112
<=> $less($sum(sK0,$uminus(sF27)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_112])]) ).
tff(f1471,plain,
( ~ $less($sum(sK0,$uminus(sF27)),0)
| ~ $less(sF27,sK0)
| ~ spl36_3 ),
inference(superposition,[],[f332,f1358]) ).
tff(f1424,plain,
( ~ spl36_110
| ~ spl36_89
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1414,f958,f1076,f1421]) ).
tff(f1421,plain,
( spl36_110
<=> $less($sum(0,$uminus(sF14)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_110])]) ).
tff(f1414,plain,
( ~ $less(sF14,0)
| ~ $less($sum(0,$uminus(sF14)),0)
| ~ spl36_81 ),
inference(superposition,[],[f332,f1356]) ).
tff(f1408,plain,
( spl36_100
| spl36_109
| spl36_91
| ~ spl36_3
| ~ spl36_15 ),
inference(avatar_split_clause,[],[f1404,f476,f416,f1161,f1406,f1258]) ).
tff(f1406,plain,
( spl36_109
<=> ! [X2: lparray_candidatecm_candidaterp] :
( ~ pr(X2,sF13)
| ( $sum(1,num_of(X2,sF14,sF27)) = num_of(X2,sF13,sF27) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_109])]) ).
tff(f1404,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ( sF27 = sF13 )
| ~ pr(X2,sF13)
| ( $sum(1,num_of(X2,sF14,sF27)) = num_of(X2,sF13,sF27) )
| $less(sK0,sF13) )
| ~ spl36_3
| ~ spl36_15 ),
inference(resolution,[],[f1098,f638]) ).
tff(f1098,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(sF13,X1)
| ~ pr(X0,sF13)
| ( num_of(X0,sF13,X1) = $sum(1,num_of(X0,sF14,X1)) ) )
| ~ spl36_15 ),
inference(superposition,[],[f352,f478]) ).
tff(f1384,plain,
( spl36_64
| ~ spl36_108
| ~ spl36_3
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f1383,f456,f416,f1379,f763]) ).
tff(f1383,plain,
( ~ $less(sF27,0)
| ( sK0 = sF27 )
| ~ spl36_3
| ~ spl36_11 ),
inference(subsumption_resolution,[],[f1376,f86]) ).
tff(f1376,plain,
( ~ $less(sF27,0)
| ( sK0 = sF27 )
| $less(sK0,sK0)
| ~ spl36_3
| ~ spl36_11 ),
inference(resolution,[],[f769,f638]) ).
tff(f769,plain,
( ! [X0: $int] :
( ~ $less(sK0,X0)
| ~ $less(X0,0) )
| ~ spl36_11 ),
inference(resolution,[],[f713,f86]) ).
tff(f713,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X1)
| ~ $less(sK0,X0)
| ~ $less(X0,X1) )
| ~ spl36_11 ),
inference(resolution,[],[f627,f87]) ).
tff(f1382,plain,
( ~ spl36_108
| ~ spl36_3
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f1374,f456,f416,f1379]) ).
tff(f1374,plain,
( ~ $less(sF27,0)
| ~ spl36_3
| ~ spl36_11 ),
inference(resolution,[],[f769,f418]) ).
tff(f1377,plain,
( ~ spl36_65
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f1373,f456,f772]) ).
tff(f1373,plain,
( ~ $less(sK0,-1)
| ~ spl36_11 ),
inference(interpreted_simplification,[],[f1372]) ).
tff(f1372,plain,
( ~ $less(sK0,-1)
| ~ $less(-1,0)
| ~ spl36_11 ),
inference(instantiation,[],[f769]) ).
tff(f1344,plain,
( spl36_105
| spl36_106
| spl36_107
| ~ spl36_3
| ~ spl36_93 ),
inference(avatar_split_clause,[],[f1332,f1171,f416,f1342,f1338,f1334]) ).
tff(f1342,plain,
( spl36_107
<=> ! [X2: lparray_candidatecm_candidaterp] :
( ~ pr(X2,sK6)
| ( num_of(X2,sK6,sF27) = $sum(1,num_of(X2,sK7,sF27)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_107])]) ).
tff(f1332,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ~ pr(X2,sK6)
| ( sK6 = sF27 )
| $less(sK0,sK6)
| ( num_of(X2,sK6,sF27) = $sum(1,num_of(X2,sK7,sF27)) ) )
| ~ spl36_3
| ~ spl36_93 ),
inference(resolution,[],[f1178,f638]) ).
tff(f1178,plain,
( ! [X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(sK6,X1)
| ( $sum(1,num_of(X0,sK7,X1)) = num_of(X0,sK6,X1) )
| ~ pr(X0,sK6) )
| ~ spl36_93 ),
inference(superposition,[],[f352,f1173]) ).
tff(f1329,plain,
( spl36_104
| ~ spl36_42
| ~ spl36_45 ),
inference(avatar_split_clause,[],[f1321,f645,f613,f1326]) ).
tff(f1326,plain,
( spl36_104
<=> ( t2tb(0) = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_104])]) ).
tff(f1321,plain,
( ( t2tb(0) = sF32 )
| ~ spl36_42
| ~ spl36_45 ),
inference(superposition,[],[f615,f647]) ).
tff(f1309,plain,
( spl36_101
| spl36_103 ),
inference(avatar_split_clause,[],[f1295,f1307,f1298]) ).
tff(f1298,plain,
( spl36_101
<=> ! [X4: $int] :
( $less(0,X4)
| $less(X4,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_101])]) ).
tff(f1295,plain,
! [X10: $int,X9: lparray_candidatecm_candidaterp] :
( ( 0 = num_of(X9,0,1) )
| $less(X10,1)
| $less(0,X10) ),
inference(evaluation,[],[f1294]) ).
tff(f1294,plain,
! [X10: $int,X9: lparray_candidatecm_candidaterp] :
( $less(0,X10)
| ( 0 = num_of(X9,0,1) )
| ~ $less(0,1)
| $less(X10,1)
| $less(1,0) ),
inference(superposition,[],[f806,f1081]) ).
tff(f1303,plain,
( spl36_101
| spl36_102 ),
inference(avatar_split_clause,[],[f1296,f1301,f1298]) ).
tff(f1296,plain,
! [X4: $int,X5: lparray_candidatecm_candidaterp] :
( ~ pr(X5,0)
| $less(0,X4)
| $less(X4,1) ),
inference(evaluation,[],[f1287]) ).
tff(f1287,plain,
! [X4: $int,X5: lparray_candidatecm_candidaterp] :
( $less(X4,1)
| $less(1,0)
| $less(0,X4)
| ~ pr(X5,0) ),
inference(resolution,[],[f806,f1113]) ).
tff(f1261,plain,
( spl36_100
| spl36_91
| spl36_87
| ~ spl36_3
| ~ spl36_57 ),
inference(avatar_split_clause,[],[f1158,f702,f416,f1067,f1161,f1258]) ).
tff(f1158,plain,
( $less(0,sF27)
| ( sF27 = sF13 )
| $less(sK0,sF13)
| ~ spl36_3
| ~ spl36_57 ),
inference(resolution,[],[f885,f638]) ).
tff(f885,plain,
( ! [X0: $int] :
( ~ $less(sF13,X0)
| $less(0,X0) )
| ~ spl36_57 ),
inference(resolution,[],[f704,f87]) ).
tff(f1256,plain,
( spl36_74
| spl36_72
| spl36_87
| ~ spl36_3
| ~ spl36_50 ),
inference(avatar_split_clause,[],[f1131,f669,f416,f1067,f889,f896]) ).
tff(f896,plain,
( spl36_74
<=> ( sF27 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_74])]) ).
tff(f1131,plain,
( $less(0,sF27)
| $less(sK0,sK3)
| ( sF27 = sK3 )
| ~ spl36_3
| ~ spl36_50 ),
inference(resolution,[],[f835,f638]) ).
tff(f1255,plain,
( spl36_99
| ~ spl36_17
| ~ spl36_28 ),
inference(avatar_split_clause,[],[f1123,f541,f486,f1252]) ).
tff(f486,plain,
( spl36_17
<=> ( $sum(sK0,sF12) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_17])]) ).
tff(f541,plain,
( spl36_28
<=> ( sF12 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_28])]) ).
tff(f1123,plain,
( ( $sum(sK0,-1) = sF13 )
| ~ spl36_17
| ~ spl36_28 ),
inference(forward_demodulation,[],[f488,f543]) ).
tff(f543,plain,
( ( sF12 = -1 )
| ~ spl36_28 ),
inference(avatar_component_clause,[],[f541]) ).
tff(f488,plain,
( ( $sum(sK0,sF12) = sF13 )
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f486]) ).
tff(f1250,plain,
( spl36_87
| spl36_88
| spl36_98
| ~ spl36_3
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1060,f958,f416,f1247,f1071,f1067]) ).
tff(f1071,plain,
( spl36_88
<=> ( sF14 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_88])]) ).
tff(f1060,plain,
( $less(sK0,sF14)
| ( sF14 = sF27 )
| $less(0,sF27)
| ~ spl36_3
| ~ spl36_81 ),
inference(resolution,[],[f1036,f638]) ).
tff(f1245,plain,
( spl36_8
| ~ spl36_58
| ~ spl36_61 ),
inference(avatar_contradiction_clause,[],[f1244]) ).
tff(f1244,plain,
( $false
| spl36_8
| ~ spl36_58
| ~ spl36_61 ),
inference(subsumption_resolution,[],[f1232,f443]) ).
tff(f1232,plain,
( $less(sK5,0)
| ~ spl36_58
| ~ spl36_61 ),
inference(superposition,[],[f743,f708]) ).
tff(f708,plain,
( ( 0 = sF13 )
| ~ spl36_58 ),
inference(avatar_component_clause,[],[f706]) ).
tff(f706,plain,
( spl36_58
<=> ( 0 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_58])]) ).
tff(f1243,plain,
( spl36_43
| ~ spl36_44
| ~ spl36_58 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
tff(f1242,plain,
( $false
| spl36_43
| ~ spl36_44
| ~ spl36_58 ),
inference(subsumption_resolution,[],[f1230,f643]) ).
tff(f1230,plain,
( ~ $less(0,sK5)
| spl36_43
| ~ spl36_58 ),
inference(superposition,[],[f620,f708]) ).
tff(f620,plain,
( ~ $less(sF13,sK5)
| spl36_43 ),
inference(avatar_component_clause,[],[f618]) ).
tff(f618,plain,
( spl36_43
<=> $less(sF13,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_43])]) ).
tff(f1241,plain,
( spl36_97
| ~ spl36_15
| ~ spl36_58 ),
inference(avatar_split_clause,[],[f1234,f706,f476,f1238]) ).
tff(f1238,plain,
( spl36_97
<=> ( 1 = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_97])]) ).
tff(f1234,plain,
( ( 1 = sF14 )
| ~ spl36_15
| ~ spl36_58 ),
inference(evaluation,[],[f1228]) ).
tff(f1228,plain,
( ( sF14 = $sum(0,1) )
| ~ spl36_15
| ~ spl36_58 ),
inference(superposition,[],[f478,f708]) ).
tff(f1236,plain,
( ~ spl36_57
| ~ spl36_58 ),
inference(avatar_contradiction_clause,[],[f1235]) ).
tff(f1235,plain,
( $false
| ~ spl36_57
| ~ spl36_58 ),
inference(evaluation,[],[f1231]) ).
tff(f1231,plain,
( $less(0,0)
| ~ spl36_57
| ~ spl36_58 ),
inference(superposition,[],[f704,f708]) ).
tff(f1227,plain,
( spl36_96
| ~ spl36_39
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1214,f727,f597,f1224]) ).
tff(f1224,plain,
( spl36_96
<=> $less(sK5,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_96])]) ).
tff(f727,plain,
( spl36_59
<=> ( 1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_59])]) ).
tff(f1214,plain,
( $less(sK5,2)
| ~ spl36_39
| ~ spl36_59 ),
inference(interpreted_simplification,[],[f1213]) ).
tff(f1213,plain,
( ~ $less(1,2)
| $less(sK5,2)
| ~ spl36_39
| ~ spl36_59 ),
inference(instantiation,[],[f916]) ).
tff(f916,plain,
( ! [X0: $int] :
( ~ $less(1,X0)
| $less(sK5,X0) )
| ~ spl36_39
| ~ spl36_59 ),
inference(superposition,[],[f736,f729]) ).
tff(f729,plain,
( ( 1 = sK0 )
| ~ spl36_59 ),
inference(avatar_component_clause,[],[f727]) ).
tff(f736,plain,
( ! [X0: $int] :
( ~ $less(sK0,X0)
| $less(sK5,X0) )
| ~ spl36_39 ),
inference(resolution,[],[f599,f87]) ).
tff(f1222,plain,
( spl36_63
| spl36_95
| ~ spl36_3
| spl36_38
| ~ spl36_39
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1217,f727,f597,f592,f416,f1219,f752]) ).
tff(f1219,plain,
( spl36_95
<=> ( 1 = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_95])]) ).
tff(f1217,plain,
( ( 1 = sF27 )
| $less(sK5,sF27)
| ~ spl36_3
| spl36_38
| ~ spl36_39
| ~ spl36_59 ),
inference(subsumption_resolution,[],[f1216,f594]) ).
tff(f1216,plain,
( $less(sK0,1)
| $less(sK5,sF27)
| ( 1 = sF27 )
| ~ spl36_3
| ~ spl36_39
| ~ spl36_59 ),
inference(resolution,[],[f916,f638]) ).
tff(f1212,plain,
( spl36_94
| ~ spl36_31
| ~ spl36_51
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1207,f727,f674,f557,f1209]) ).
tff(f1209,plain,
( spl36_94
<=> ( 1 = $product(2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_94])]) ).
tff(f557,plain,
( spl36_31
<=> ( sF20 = $product(2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_31])]) ).
tff(f674,plain,
( spl36_51
<=> ( sF20 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_51])]) ).
tff(f1207,plain,
( ( 1 = $product(2,sK3) )
| ~ spl36_31
| ~ spl36_51
| ~ spl36_59 ),
inference(forward_demodulation,[],[f1206,f729]) ).
tff(f1206,plain,
( ( sK0 = $product(2,sK3) )
| ~ spl36_31
| ~ spl36_51 ),
inference(forward_demodulation,[],[f559,f676]) ).
tff(f676,plain,
( ( sF20 = sK0 )
| ~ spl36_51 ),
inference(avatar_component_clause,[],[f674]) ).
tff(f559,plain,
( ( sF20 = $product(2,sK3) )
| ~ spl36_31 ),
inference(avatar_component_clause,[],[f557]) ).
tff(f1174,plain,
( spl36_93
| ~ spl36_20
| ~ spl36_40 ),
inference(avatar_split_clause,[],[f1169,f602,f501,f1171]) ).
tff(f501,plain,
( spl36_20
<=> ( sF28 = $sum(sK6,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_20])]) ).
tff(f602,plain,
( spl36_40
<=> ( sF28 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_40])]) ).
tff(f1169,plain,
( ( $sum(sK6,1) = sK7 )
| ~ spl36_20
| ~ spl36_40 ),
inference(forward_demodulation,[],[f503,f604]) ).
tff(f604,plain,
( ( sF28 = sK7 )
| ~ spl36_40 ),
inference(avatar_component_clause,[],[f602]) ).
tff(f503,plain,
( ( sF28 = $sum(sK6,1) )
| ~ spl36_20 ),
inference(avatar_component_clause,[],[f501]) ).
tff(f1168,plain,
( spl36_87
| spl36_91
| spl36_92
| ~ spl36_3
| ~ spl36_57
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1159,f727,f702,f416,f1165,f1161,f1067]) ).
tff(f1159,plain,
( $less(1,sF13)
| ( sF27 = sF13 )
| $less(0,sF27)
| ~ spl36_3
| ~ spl36_57
| ~ spl36_59 ),
inference(forward_demodulation,[],[f1158,f729]) ).
tff(f1137,plain,
( spl36_87
| spl36_90
| spl36_74
| ~ spl36_3
| ~ spl36_50
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1132,f727,f669,f416,f896,f1134,f1067]) ).
tff(f1134,plain,
( spl36_90
<=> $less(1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_90])]) ).
tff(f1132,plain,
( ( sF27 = sK3 )
| $less(1,sK3)
| $less(0,sF27)
| ~ spl36_3
| ~ spl36_50
| ~ spl36_59 ),
inference(forward_demodulation,[],[f1131,f729]) ).
tff(f1126,plain,
( spl36_58
| ~ spl36_17
| ~ spl36_28
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f1125,f727,f541,f486,f706]) ).
tff(f1125,plain,
( ( 0 = sF13 )
| ~ spl36_17
| ~ spl36_28
| ~ spl36_59 ),
inference(evaluation,[],[f1124]) ).
tff(f1124,plain,
( ( $sum(1,-1) = sF13 )
| ~ spl36_17
| ~ spl36_28
| ~ spl36_59 ),
inference(forward_demodulation,[],[f1123,f729]) ).
tff(f1079,plain,
( ~ spl36_89
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1058,f958,f1076]) ).
tff(f1058,plain,
( ~ $less(sF14,0)
| ~ spl36_81 ),
inference(interpreted_simplification,[],[f1057]) ).
tff(f1057,plain,
( ~ $less(sF14,0)
| $less(0,0)
| ~ spl36_81 ),
inference(instantiation,[],[f1036]) ).
tff(f1074,plain,
( spl36_86
| spl36_87
| spl36_88
| ~ spl36_3
| ~ spl36_59
| ~ spl36_81 ),
inference(avatar_split_clause,[],[f1061,f958,f727,f416,f1071,f1067,f1063]) ).
tff(f1061,plain,
( ( sF14 = sF27 )
| $less(0,sF27)
| $less(1,sF14)
| ~ spl36_3
| ~ spl36_59
| ~ spl36_81 ),
inference(forward_demodulation,[],[f1060,f729]) ).
tff(f1056,plain,
( spl36_85
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f1050,f516,f1053]) ).
tff(f1053,plain,
( spl36_85
<=> ( 0 = $sum(sK3,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_85])]) ).
tff(f1050,plain,
( ( 0 = $sum(sK3,sF15) )
| ~ spl36_23 ),
inference(superposition,[],[f1030,f518]) ).
tff(f1030,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
inference(forward_demodulation,[],[f1029,f789]) ).
tff(f1029,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp] : ( num_of(X1,X0,X0) = $sum(X0,$uminus(X0)) ),
inference(subsumption_resolution,[],[f1027,f86]) ).
tff(f1027,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp] :
( ( num_of(X1,X0,X0) = $sum(X0,$uminus(X0)) )
| $less(X0,X0) ),
inference(duplicate_literal_removal,[],[f1023]) ).
tff(f1023,plain,
! [X0: $int,X1: lparray_candidatecm_candidaterp] :
( ( num_of(X1,X0,X0) = $sum(X0,$uminus(X0)) )
| $less(X0,X0)
| $less(X0,X0)
| ( num_of(X1,X0,X0) = $sum(X0,$uminus(X0)) ) ),
inference(resolution,[],[f322,f320]) ).
tff(f320,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( $less(sK8(X0,X1,X2),X1)
| $less(X1,X0)
| ( $sum(X1,$uminus(X0)) = num_of(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f236]) ).
tff(f236,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ( $sum(X1,$uminus(X0)) = num_of(X2,X0,X1) )
| $less(X1,X0)
| ( ~ $less(sK8(X0,X1,X2),X0)
& ~ pr(X2,sK8(X0,X1,X2))
& $less(sK8(X0,X1,X2),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f234,f235]) ).
tff(f235,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ? [X3: $int] :
( ~ $less(X3,X0)
& ~ pr(X2,X3)
& $less(X3,X1) )
=> ( ~ $less(sK8(X0,X1,X2),X0)
& ~ pr(X2,sK8(X0,X1,X2))
& $less(sK8(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f234,plain,
! [X0: $int,X1: $int,X2: lparray_candidatecm_candidaterp] :
( ( $sum(X1,$uminus(X0)) = num_of(X2,X0,X1) )
| $less(X1,X0)
| ? [X3: $int] :
( ~ $less(X3,X0)
& ~ pr(X2,X3)
& $less(X3,X1) ) ),
inference(rectify,[],[f180]) ).
tff(f180,plain,
! [X1: $int,X2: $int,X0: lparray_candidatecm_candidaterp] :
( ( $sum(X2,$uminus(X1)) = num_of(X0,X1,X2) )
| $less(X2,X1)
| ? [X3: $int] :
( ~ $less(X3,X1)
& ~ pr(X0,X3)
& $less(X3,X2) ) ),
inference(flattening,[],[f179]) ).
tff(f179,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ( $sum(X2,$uminus(X1)) = num_of(X0,X1,X2) )
| ? [X3: $int] :
( ~ pr(X0,X3)
& $less(X3,X2)
& ~ $less(X3,X1) )
| $less(X2,X1) ),
inference(ennf_transformation,[],[f108]) ).
tff(f108,plain,
! [X2: $int,X0: lparray_candidatecm_candidaterp,X1: $int] :
( ~ $less(X2,X1)
=> ( ! [X3: $int] :
( ( $less(X3,X2)
& ~ $less(X3,X1) )
=> pr(X0,X3) )
=> ( $sum(X2,$uminus(X1)) = num_of(X0,X1,X2) ) ) ),
inference(rectify,[],[f69]) ).
tff(f69,plain,
! [X18: lparray_candidatecm_candidaterp,X0: $int,X8: $int] :
( ~ $less(X8,X0)
=> ( ! [X17: $int] :
( ( $less(X17,X8)
& ~ $less(X17,X0) )
=> pr(X18,X17) )
=> ( num_of(X18,X0,X8) = $sum(X8,$uminus(X0)) ) ) ),
inference(theory_normalization,[],[f57]) ).
tff(f57,axiom,
! [X18: lparray_candidatecm_candidaterp,X0: $int,X8: $int] :
( $lesseq(X0,X8)
=> ( ! [X17: $int] :
( ( $less(X17,X8)
& $lesseq(X0,X17) )
=> pr(X18,X17) )
=> ( num_of(X18,X0,X8) = $difference(X8,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full) ).
tff(f322,plain,
! [X2: lparray_candidatecm_candidaterp,X0: $int,X1: $int] :
( ~ $less(sK8(X0,X1,X2),X0)
| ( $sum(X1,$uminus(X0)) = num_of(X2,X0,X1) )
| $less(X1,X0) ),
inference(cnf_transformation,[],[f236]) ).
tff(f1006,plain,
( spl36_67
| ~ spl36_71
| ~ spl36_79 ),
inference(avatar_split_clause,[],[f1005,f944,f881,f829]) ).
tff(f1005,plain,
( ( tb2t3(sF21) = sK2 )
| ~ spl36_71
| ~ spl36_79 ),
inference(superposition,[],[f883,f946]) ).
tff(f975,plain,
( spl36_84
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f969,f613,f972]) ).
tff(f972,plain,
( spl36_84
<=> ( tb2t(sF32) = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_84])]) ).
tff(f969,plain,
( ( tb2t(sF32) = sK5 )
| ~ spl36_42 ),
inference(superposition,[],[f344,f615]) ).
tff(f344,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f140]) ).
tff(f140,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X14: $int] : ( tb2t(t2tb(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL) ).
tff(f968,plain,
( spl36_81
| spl36_82
| ~ spl36_83 ),
inference(avatar_split_clause,[],[f956,f965,f962,f958]) ).
tff(f962,plain,
( spl36_82
<=> ! [X0: candidate] : ( sK2 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_82])]) ).
tff(f965,plain,
( spl36_83
<=> $less(sF16,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_83])]) ).
tff(f956,plain,
! [X0: candidate] :
( ~ $less(sF16,0)
| ( sK2 = X0 )
| $less(0,sF14) ),
inference(evaluation,[],[f955]) ).
tff(f955,plain,
! [X0: candidate] :
( ~ $less(sF16,$product(2,0))
| $less(0,sF14)
| ( sK2 = X0 ) ),
inference(superposition,[],[f373,f282]) ).
tff(f951,plain,
( spl36_79
| ~ spl36_80
| ~ spl36_16
| ~ spl36_71 ),
inference(avatar_split_clause,[],[f942,f881,f481,f948,f944]) ).
tff(f942,plain,
( ~ sort(candidate1,sF33)
| ( sF21 = sF33 )
| ~ spl36_16
| ~ spl36_71 ),
inference(forward_demodulation,[],[f941,f483]) ).
tff(f941,plain,
( ( t2tb3(sK2) = sF33 )
| ~ sort(candidate1,sF33)
| ~ spl36_71 ),
inference(superposition,[],[f312,f883]) ).
tff(f940,plain,
( spl36_78
| ~ spl36_3
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f907,f727,f416,f937]) ).
tff(f907,plain,
( $less(1,sF27)
| ~ spl36_3
| ~ spl36_59 ),
inference(superposition,[],[f418,f729]) ).
tff(f935,plain,
( spl36_77
| ~ spl36_39
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f914,f727,f597,f932]) ).
tff(f914,plain,
( $less(sK5,1)
| ~ spl36_39
| ~ spl36_59 ),
inference(superposition,[],[f599,f729]) ).
tff(f930,plain,
( spl36_76
| ~ spl36_48
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f915,f727,f659,f927]) ).
tff(f927,plain,
( spl36_76
<=> $less(sF35,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_76])]) ).
tff(f659,plain,
( spl36_48
<=> $less(sF35,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_48])]) ).
tff(f915,plain,
( $less(sF35,1)
| ~ spl36_48
| ~ spl36_59 ),
inference(superposition,[],[f661,f729]) ).
tff(f661,plain,
( $less(sF35,sK0)
| ~ spl36_48 ),
inference(avatar_component_clause,[],[f659]) ).
tff(f923,plain,
( ~ spl36_75
| spl36_19
| ~ spl36_59 ),
inference(avatar_split_clause,[],[f910,f727,f496,f920]) ).
tff(f920,plain,
( spl36_75
<=> $less(1,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_75])]) ).
tff(f910,plain,
( ~ $less(1,sF35)
| spl36_19
| ~ spl36_59 ),
inference(superposition,[],[f498,f729]) ).
tff(f899,plain,
( spl36_72
| spl36_73
| spl36_74
| ~ spl36_3
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f887,f516,f416,f896,f893,f889]) ).
tff(f887,plain,
( ! [X2: lparray_candidatecm_candidaterp] :
( ( sF27 = sK3 )
| ~ $less($sum(sF27,sF15),num_of(X2,sK3,sF27))
| $less(sK0,sK3) )
| ~ spl36_3
| ~ spl36_23 ),
inference(resolution,[],[f833,f638]) ).
tff(f884,plain,
( spl36_71
| ~ spl36_35
| ~ spl36_41 ),
inference(avatar_split_clause,[],[f879,f607,f577,f881]) ).
tff(f577,plain,
( spl36_35
<=> ( sF34 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_35])]) ).
tff(f607,plain,
( spl36_41
<=> ( sF34 = tb2t3(sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_41])]) ).
tff(f879,plain,
( ( tb2t3(sF33) = sK2 )
| ~ spl36_35
| ~ spl36_41 ),
inference(forward_demodulation,[],[f609,f579]) ).
tff(f579,plain,
( ( sF34 = sK2 )
| ~ spl36_35 ),
inference(avatar_component_clause,[],[f577]) ).
tff(f609,plain,
( ( sF34 = tb2t3(sF33) )
| ~ spl36_41 ),
inference(avatar_component_clause,[],[f607]) ).
tff(f858,plain,
( spl36_70
| ~ spl36_32 ),
inference(avatar_split_clause,[],[f853,f562,f855]) ).
tff(f855,plain,
( spl36_70
<=> ( t2tb1(sF23) = sF22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_70])]) ).
tff(f853,plain,
( ( t2tb1(sF23) = sF22 )
| ~ spl36_32 ),
inference(superposition,[],[f330,f564]) ).
tff(f852,plain,
( spl36_69
| ~ spl36_27 ),
inference(avatar_split_clause,[],[f842,f536,f849]) ).
tff(f849,plain,
( spl36_69
<=> ( tb2t4(sF18) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_69])]) ).
tff(f536,plain,
( spl36_27
<=> ( sF18 = t2tb4(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_27])]) ).
tff(f842,plain,
( ( tb2t4(sF18) = sK1 )
| ~ spl36_27 ),
inference(superposition,[],[f346,f538]) ).
tff(f538,plain,
( ( sF18 = t2tb4(sK1) )
| ~ spl36_27 ),
inference(avatar_component_clause,[],[f536]) ).
tff(f346,plain,
! [X0: map_int_candidate] : ( tb2t4(t2tb4(X0)) = X0 ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: map_int_candidate] : ( tb2t4(t2tb4(X0)) = X0 ),
inference(rectify,[],[f64]) ).
tff(f64,axiom,
! [X14: map_int_candidate] : ( tb2t4(t2tb4(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL4) ).
tff(f847,plain,
( spl36_68
| ~ spl36_27 ),
inference(avatar_split_clause,[],[f841,f536,f844]) ).
tff(f841,plain,
( sort(map(int,candidate1),sF18)
| ~ spl36_27 ),
inference(superposition,[],[f335,f538]) ).
tff(f335,plain,
! [X0: map_int_candidate] : sort(map(int,candidate1),t2tb4(X0)),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: map_int_candidate] : sort(map(int,candidate1),t2tb4(X0)),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X1: map_int_candidate] : sort(map(int,candidate1),t2tb4(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort4) ).
tff(f832,plain,
( spl36_67
| ~ spl36_16 ),
inference(avatar_split_clause,[],[f821,f481,f829]) ).
tff(f821,plain,
( ( tb2t3(sF21) = sK2 )
| ~ spl36_16 ),
inference(superposition,[],[f340,f483]) ).
tff(f340,plain,
! [X0: candidate] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0: candidate] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X14: candidate] : ( tb2t3(t2tb3(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3) ).
tff(f827,plain,
( spl36_66
| ~ spl36_16 ),
inference(avatar_split_clause,[],[f822,f481,f824]) ).
tff(f822,plain,
( sort(candidate1,sF21)
| ~ spl36_16 ),
inference(superposition,[],[f277,f483]) ).
tff(f277,plain,
! [X0: candidate] : sort(candidate1,t2tb3(X0)),
inference(cnf_transformation,[],[f104]) ).
tff(f104,plain,
! [X0: candidate] : sort(candidate1,t2tb3(X0)),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X1: candidate] : sort(candidate1,t2tb3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3) ).
tff(f775,plain,
( ~ spl36_65
| ~ spl36_11 ),
inference(avatar_split_clause,[],[f768,f456,f772]) ).
tff(f768,plain,
( ~ $less(sK0,-1)
| ~ spl36_11 ),
inference(interpreted_simplification,[],[f767]) ).
tff(f767,plain,
( $less(0,0)
| ~ $less(sK0,-1)
| ~ $less(-1,0)
| ~ spl36_11 ),
inference(instantiation,[],[f713]) ).
tff(f766,plain,
( spl36_64
| spl36_63
| ~ spl36_3
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f761,f597,f416,f752,f763]) ).
tff(f761,plain,
( $less(sK5,sF27)
| ( sK0 = sF27 )
| ~ spl36_3
| ~ spl36_39 ),
inference(subsumption_resolution,[],[f758,f86]) ).
tff(f758,plain,
( $less(sK5,sF27)
| $less(sK0,sK0)
| ( sK0 = sF27 )
| ~ spl36_3
| ~ spl36_39 ),
inference(resolution,[],[f638,f736]) ).
tff(f755,plain,
( spl36_63
| ~ spl36_3
| ~ spl36_39 ),
inference(avatar_split_clause,[],[f749,f597,f416,f752]) ).
tff(f749,plain,
( $less(sK5,sF27)
| ~ spl36_3
| ~ spl36_39 ),
inference(resolution,[],[f736,f418]) ).
tff(f748,plain,
( spl36_61
| spl36_62
| spl36_43 ),
inference(avatar_split_clause,[],[f739,f618,f745,f741]) ).
tff(f745,plain,
( spl36_62
<=> ( sK5 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_62])]) ).
tff(f739,plain,
( ( sK5 = sF13 )
| $less(sK5,sF13)
| spl36_43 ),
inference(resolution,[],[f620,f88]) ).
tff(f734,plain,
( spl36_59
| spl36_60
| spl36_38 ),
inference(avatar_split_clause,[],[f725,f592,f731,f727]) ).
tff(f725,plain,
( $less(1,sK0)
| ( 1 = sK0 )
| spl36_38 ),
inference(resolution,[],[f594,f88]) ).
tff(f709,plain,
( spl36_57
| spl36_58
| spl36_26 ),
inference(avatar_split_clause,[],[f700,f531,f706,f702]) ).
tff(f700,plain,
( ( 0 = sF13 )
| $less(0,sF13)
| spl36_26 ),
inference(resolution,[],[f533,f88]) ).
tff(f699,plain,
( spl36_55
| spl36_56
| spl36_10 ),
inference(avatar_split_clause,[],[f637,f451,f696,f692]) ).
tff(f692,plain,
( spl36_55
<=> ( sF24 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_55])]) ).
tff(f637,plain,
( $less(sK3,sF24)
| ( sF24 = sK3 )
| spl36_10 ),
inference(resolution,[],[f88,f453]) ).
tff(f690,plain,
( spl36_53
| spl36_54
| spl36_24 ),
inference(avatar_split_clause,[],[f632,f521,f687,f683]) ).
tff(f632,plain,
( $less(sF30,sK0)
| ( sK0 = sF30 )
| spl36_24 ),
inference(resolution,[],[f88,f523]) ).
tff(f681,plain,
( spl36_51
| spl36_52
| spl36_25 ),
inference(avatar_split_clause,[],[f631,f526,f678,f674]) ).
tff(f631,plain,
( $less(sF20,sK0)
| ( sF20 = sK0 )
| spl36_25 ),
inference(resolution,[],[f88,f528]) ).
tff(f672,plain,
( spl36_50
| spl36_2
| spl36_22 ),
inference(avatar_split_clause,[],[f667,f511,f411,f669]) ).
tff(f411,plain,
( spl36_2
<=> ( 0 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).
tff(f667,plain,
( $less(0,sK3)
| spl36_2
| spl36_22 ),
inference(subsumption_resolution,[],[f634,f413]) ).
tff(f413,plain,
( ( 0 != sK3 )
| spl36_2 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f634,plain,
( ( 0 = sK3 )
| $less(0,sK3)
| spl36_22 ),
inference(resolution,[],[f88,f513]) ).
tff(f666,plain,
( spl36_48
| spl36_49
| spl36_19 ),
inference(avatar_split_clause,[],[f633,f496,f663,f659]) ).
tff(f633,plain,
( ( sK0 = sF35 )
| $less(sF35,sK0)
| spl36_19 ),
inference(resolution,[],[f88,f498]) ).
tff(f657,plain,
( spl36_46
| spl36_47
| spl36_7 ),
inference(avatar_split_clause,[],[f636,f436,f654,f650]) ).
tff(f650,plain,
( spl36_46
<=> $less(sF26,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_46])]) ).
tff(f654,plain,
( spl36_47
<=> ( sF26 = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_47])]) ).
tff(f436,plain,
( spl36_7
<=> $less(sF16,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_7])]) ).
tff(f636,plain,
( ( sF26 = sF16 )
| $less(sF26,sF16)
| spl36_7 ),
inference(resolution,[],[f88,f438]) ).
tff(f438,plain,
( ~ $less(sF16,sF26)
| spl36_7 ),
inference(avatar_component_clause,[],[f436]) ).
tff(f648,plain,
( spl36_44
| spl36_45
| spl36_8 ),
inference(avatar_split_clause,[],[f635,f441,f645,f641]) ).
tff(f635,plain,
( ( 0 = sK5 )
| $less(0,sK5)
| spl36_8 ),
inference(resolution,[],[f88,f443]) ).
tff(f621,plain,
~ spl36_43,
inference(avatar_split_clause,[],[f400,f618]) ).
tff(f400,plain,
~ $less(sF13,sK5),
inference(definition_folding,[],[f288,f366,f365]) ).
tff(f288,plain,
~ $less($sum(sK0,$uminus(1)),sK5),
inference(cnf_transformation,[],[f224]) ).
tff(f616,plain,
spl36_42,
inference(avatar_split_clause,[],[f394,f613]) ).
tff(f394,plain,
t2tb(sK5) = sF32,
introduced(function_definition,[]) ).
tff(f611,plain,
~ spl36_26,
inference(avatar_split_clause,[],[f384,f531]) ).
tff(f384,plain,
~ $less(sF13,0),
inference(definition_folding,[],[f298,f366,f365]) ).
tff(f298,plain,
~ $less($sum(sK0,$uminus(1)),0),
inference(cnf_transformation,[],[f224]) ).
tff(f610,plain,
spl36_41,
inference(avatar_split_clause,[],[f396,f607]) ).
tff(f396,plain,
sF34 = tb2t3(sF33),
introduced(function_definition,[]) ).
tff(f605,plain,
spl36_40,
inference(avatar_split_clause,[],[f388,f602]) ).
tff(f388,plain,
sF28 = sK7,
inference(definition_folding,[],[f296,f387]) ).
tff(f387,plain,
sF28 = $sum(sK6,1),
introduced(function_definition,[]) ).
tff(f296,plain,
$sum(sK6,1) = sK7,
inference(cnf_transformation,[],[f224]) ).
tff(f600,plain,
spl36_39,
inference(avatar_split_clause,[],[f293,f597]) ).
tff(f293,plain,
$less(sK5,sK0),
inference(cnf_transformation,[],[f224]) ).
tff(f595,plain,
~ spl36_38,
inference(avatar_split_clause,[],[f285,f592]) ).
tff(f285,plain,
~ $less(sK0,1),
inference(cnf_transformation,[],[f224]) ).
tff(f590,plain,
spl36_37,
inference(avatar_split_clause,[],[f395,f587]) ).
tff(f395,plain,
get(candidate1,int,sF18,sF32) = sF33,
introduced(function_definition,[]) ).
tff(f585,plain,
spl36_36,
inference(avatar_split_clause,[],[f379,f582]) ).
tff(f379,plain,
sF24 = num_of(sF23,0,sF14),
introduced(function_definition,[]) ).
tff(f580,plain,
spl36_35,
inference(avatar_split_clause,[],[f397,f577]) ).
tff(f397,plain,
sF34 = sK2,
inference(definition_folding,[],[f292,f396,f395,f394,f371]) ).
tff(f292,plain,
tb2t3(get(candidate1,int,t2tb4(sK1),t2tb(sK5))) = sK2,
inference(cnf_transformation,[],[f224]) ).
tff(f575,plain,
spl36_34,
inference(avatar_split_clause,[],[f390,f572]) ).
tff(f390,plain,
$product(2,sF29) = sF30,
introduced(function_definition,[]) ).
tff(f570,plain,
spl36_33,
inference(avatar_split_clause,[],[f381,f567]) ).
tff(f381,plain,
$sum(sF24,sF15) = sF25,
introduced(function_definition,[]) ).
tff(f565,plain,
spl36_32,
inference(avatar_split_clause,[],[f378,f562]) ).
tff(f378,plain,
tb2t1(sF22) = sF23,
introduced(function_definition,[]) ).
tff(f560,plain,
spl36_31,
inference(avatar_split_clause,[],[f374,f557]) ).
tff(f374,plain,
sF20 = $product(2,sK3),
introduced(function_definition,[]) ).
tff(f555,plain,
spl36_30,
inference(avatar_split_clause,[],[f372,f552]) ).
tff(f550,plain,
spl36_29,
inference(avatar_split_clause,[],[f377,f547]) ).
tff(f377,plain,
sF22 = tuple21(sF17,candidate1,sF19,sF21),
introduced(function_definition,[]) ).
tff(f545,plain,
~ spl36_8,
inference(avatar_split_clause,[],[f290,f441]) ).
tff(f290,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f224]) ).
tff(f544,plain,
spl36_28,
inference(avatar_split_clause,[],[f402,f541]) ).
tff(f402,plain,
sF12 = -1,
inference(evaluation,[],[f365]) ).
tff(f539,plain,
spl36_27,
inference(avatar_split_clause,[],[f371,f536]) ).
tff(f534,plain,
~ spl36_26,
inference(avatar_split_clause,[],[f401,f531]) ).
tff(f401,plain,
~ $less(sF13,0),
inference(definition_folding,[],[f284,f366,f365]) ).
tff(f284,plain,
~ $less($sum(sK0,$uminus(1)),0),
inference(cnf_transformation,[],[f224]) ).
tff(f529,plain,
~ spl36_25,
inference(avatar_split_clause,[],[f375,f526]) ).
tff(f375,plain,
~ $less(sK0,sF20),
inference(definition_folding,[],[f304,f374]) ).
tff(f304,plain,
~ $less(sK0,$product(2,sK3)),
inference(cnf_transformation,[],[f224]) ).
tff(f524,plain,
~ spl36_24,
inference(avatar_split_clause,[],[f391,f521]) ).
tff(f391,plain,
~ $less(sK0,sF30),
inference(definition_folding,[],[f295,f390,f389,f378,f377,f376,f372,f371,f370]) ).
tff(f376,plain,
sF21 = t2tb3(sK2),
introduced(function_definition,[]) ).
tff(f389,plain,
num_of(sF23,0,sK0) = sF29,
introduced(function_definition,[]) ).
tff(f295,plain,
~ $less(sK0,$product(2,num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK0))),
inference(cnf_transformation,[],[f224]) ).
tff(f519,plain,
spl36_23,
inference(avatar_split_clause,[],[f368,f516]) ).
tff(f514,plain,
~ spl36_22,
inference(avatar_split_clause,[],[f303,f511]) ).
tff(f303,plain,
~ $less(sK3,0),
inference(cnf_transformation,[],[f224]) ).
tff(f509,plain,
spl36_21,
inference(avatar_split_clause,[],[f389,f506]) ).
tff(f504,plain,
spl36_20,
inference(avatar_split_clause,[],[f387,f501]) ).
tff(f499,plain,
~ spl36_19,
inference(avatar_split_clause,[],[f399,f496]) ).
tff(f399,plain,
~ $less(sK0,sF35),
inference(definition_folding,[],[f291,f398]) ).
tff(f398,plain,
$product(2,sK6) = sF35,
introduced(function_definition,[]) ).
tff(f291,plain,
~ $less(sK0,$product(2,sK6)),
inference(cnf_transformation,[],[f224]) ).
tff(f494,plain,
spl36_18,
inference(avatar_split_clause,[],[f385,f491]) ).
tff(f385,plain,
sF27 = $product(2,sK7),
introduced(function_definition,[]) ).
tff(f489,plain,
spl36_17,
inference(avatar_split_clause,[],[f366,f486]) ).
tff(f484,plain,
spl36_16,
inference(avatar_split_clause,[],[f376,f481]) ).
tff(f479,plain,
spl36_15,
inference(avatar_split_clause,[],[f367,f476]) ).
tff(f474,plain,
spl36_14,
inference(avatar_split_clause,[],[f369,f471]) ).
tff(f469,plain,
spl36_13,
inference(avatar_split_clause,[],[f398,f466]) ).
tff(f464,plain,
spl36_12,
inference(avatar_split_clause,[],[f370,f461]) ).
tff(f459,plain,
spl36_11,
inference(avatar_split_clause,[],[f286,f456]) ).
tff(f286,plain,
$less(0,sK0),
inference(cnf_transformation,[],[f224]) ).
tff(f454,plain,
~ spl36_10,
inference(avatar_split_clause,[],[f380,f451]) ).
tff(f380,plain,
~ $less(sF24,sK3),
inference(definition_folding,[],[f302,f379,f367,f366,f365,f378,f377,f376,f372,f371,f370]) ).
tff(f302,plain,
~ $less(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),sK3),
inference(cnf_transformation,[],[f224]) ).
tff(f449,plain,
spl36_9,
inference(avatar_split_clause,[],[f393,f446]) ).
tff(f393,plain,
sK6 = sF31,
inference(definition_folding,[],[f294,f392,f378,f377,f376,f372,f371,f370]) ).
tff(f392,plain,
num_of(sF23,0,sK5) = sF31,
introduced(function_definition,[]) ).
tff(f294,plain,
num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,sK5) = sK6,
inference(cnf_transformation,[],[f224]) ).
tff(f444,plain,
~ spl36_8,
inference(avatar_split_clause,[],[f289,f441]) ).
tff(f289,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f224]) ).
tff(f439,plain,
~ spl36_7,
inference(avatar_split_clause,[],[f383,f436]) ).
tff(f383,plain,
~ $less(sF16,sF26),
inference(definition_folding,[],[f301,f382,f381,f368,f379,f367,f366,f365,f378,f377,f376,f372,f371,f370,f369,f368,f367,f366,f365]) ).
tff(f382,plain,
sF26 = $product(2,sF25),
introduced(function_definition,[]) ).
tff(f301,plain,
~ $less($sum($sum($sum(sK0,$uminus(1)),1),$uminus(sK3)),$product(2,$sum(num_of(tb2t1(tuple21(array(candidate1),candidate1,mk_array(candidate1,sK0,t2tb4(sK1)),t2tb3(sK2))),0,$sum($sum(sK0,$uminus(1)),1)),$uminus(sK3)))),
inference(cnf_transformation,[],[f224]) ).
tff(f434,plain,
~ spl36_6,
inference(avatar_split_clause,[],[f287,f431]) ).
tff(f287,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f224]) ).
tff(f429,plain,
spl36_5,
inference(avatar_split_clause,[],[f382,f426]) ).
tff(f426,plain,
( spl36_5
<=> ( sF26 = $product(2,sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_5])]) ).
tff(f424,plain,
~ spl36_4,
inference(avatar_split_clause,[],[f328,f421]) ).
tff(f421,plain,
( spl36_4
<=> ( true = false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_4])]) ).
tff(f328,plain,
true != false,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true != false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).
tff(f419,plain,
spl36_3,
inference(avatar_split_clause,[],[f386,f416]) ).
tff(f386,plain,
$less(sK0,sF27),
inference(definition_folding,[],[f297,f385]) ).
tff(f297,plain,
$less(sK0,$product(2,sK7)),
inference(cnf_transformation,[],[f224]) ).
tff(f414,plain,
~ spl36_2,
inference(avatar_split_clause,[],[f300,f411]) ).
tff(f300,plain,
0 != sK3,
inference(cnf_transformation,[],[f224]) ).
tff(f409,plain,
spl36_1,
inference(avatar_split_clause,[],[f392,f406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWW630=2 : TPTP v8.1.0. Released v6.1.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 20:52:11 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.46 % (26658)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (26657)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.16/0.49 % (26650)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)
% 0.16/0.49 % (26646)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)
% 0.16/0.49 % (26667)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50 % (26649)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)
% 0.16/0.50 % (26659)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.50 % (26659)Instruction limit reached!
% 0.16/0.50 % (26659)------------------------------
% 0.16/0.50 % (26659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (26659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (26659)Termination reason: Unknown
% 0.16/0.50 % (26659)Termination phase: Property scanning
% 0.16/0.50
% 0.16/0.50 % (26659)Memory used [KB]: 1023
% 0.16/0.50 % (26659)Time elapsed: 0.005 s
% 0.16/0.50 % (26659)Instructions burned: 3 (million)
% 0.16/0.50 % (26659)------------------------------
% 0.16/0.50 % (26659)------------------------------
% 0.16/0.51 % (26660)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51 % (26666)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.51 % (26660)Instruction limit reached!
% 0.16/0.51 % (26660)------------------------------
% 0.16/0.51 % (26660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (26660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (26660)Termination reason: Unknown
% 0.16/0.51 % (26660)Termination phase: Property scanning
% 0.16/0.51
% 0.16/0.51 % (26660)Memory used [KB]: 1023
% 0.16/0.51 % (26660)Time elapsed: 0.003 s
% 0.16/0.51 % (26660)Instructions burned: 2 (million)
% 0.16/0.51 % (26660)------------------------------
% 0.16/0.51 % (26660)------------------------------
% 0.16/0.51 % (26645)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)
% 0.16/0.51 % (26655)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)
% 0.16/0.51 % (26665)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.16/0.51 % (26655)Instruction limit reached!
% 0.16/0.51 % (26655)------------------------------
% 0.16/0.51 % (26655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (26655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (26655)Termination reason: Unknown
% 0.16/0.51 % (26655)Termination phase: Preprocessing 1
% 0.16/0.51
% 0.16/0.51 % (26655)Memory used [KB]: 1023
% 0.16/0.51 % (26655)Time elapsed: 0.004 s
% 0.16/0.51 % (26655)Instructions burned: 5 (million)
% 0.16/0.51 % (26655)------------------------------
% 0.16/0.51 % (26655)------------------------------
% 0.16/0.52 % (26648)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)
% 0.16/0.52 % (26651)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)
% 1.45/0.52 % (26652)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)
% 1.45/0.52 % (26644)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)
% 1.45/0.53 % (26656)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)
% 1.45/0.53 % (26656)Instruction limit reached!
% 1.45/0.53 % (26656)------------------------------
% 1.45/0.53 % (26656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (26656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (26656)Termination reason: Unknown
% 1.45/0.53 % (26656)Termination phase: Property scanning
% 1.45/0.53
% 1.45/0.53 % (26656)Memory used [KB]: 1023
% 1.45/0.53 % (26656)Time elapsed: 0.003 s
% 1.45/0.53 % (26656)Instructions burned: 2 (million)
% 1.45/0.53 % (26656)------------------------------
% 1.45/0.53 % (26656)------------------------------
% 1.45/0.53 % (26654)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.45/0.53 % (26649)Instruction limit reached!
% 1.45/0.53 % (26649)------------------------------
% 1.45/0.53 % (26649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (26657)Instruction limit reached!
% 1.45/0.53 % (26657)------------------------------
% 1.45/0.53 % (26657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (26668)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.45/0.53 % (26672)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.45/0.53 % (26650)Instruction limit reached!
% 1.45/0.53 % (26650)------------------------------
% 1.45/0.53 % (26650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (26650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (26650)Termination reason: Unknown
% 1.45/0.53 % (26650)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (26650)Memory used [KB]: 6140
% 1.45/0.53 % (26650)Time elapsed: 0.164 s
% 1.45/0.53 % (26650)Instructions burned: 32 (million)
% 1.45/0.53 % (26650)------------------------------
% 1.45/0.53 % (26650)------------------------------
% 1.63/0.53 % (26646)Instruction limit reached!
% 1.63/0.53 % (26646)------------------------------
% 1.63/0.53 % (26646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.53 % (26646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.53 % (26646)Termination reason: Unknown
% 1.63/0.53 % (26646)Termination phase: Property scanning
% 1.63/0.53
% 1.63/0.53 % (26646)Memory used [KB]: 1151
% 1.63/0.53 % (26646)Time elapsed: 0.006 s
% 1.63/0.53 % (26646)Instructions burned: 8 (million)
% 1.63/0.53 % (26646)------------------------------
% 1.63/0.53 % (26646)------------------------------
% 1.63/0.53 % (26662)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.63/0.54 % (26657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.54 % (26657)Termination reason: Unknown
% 1.63/0.54 % (26657)Termination phase: Saturation
% 1.63/0.54
% 1.63/0.54 % (26657)Memory used [KB]: 5884
% 1.63/0.54 % (26657)Time elapsed: 0.165 s
% 1.63/0.54 % (26657)Instructions burned: 21 (million)
% 1.63/0.54 % (26657)------------------------------
% 1.63/0.54 % (26657)------------------------------
% 1.63/0.54 % (26653)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)
% 1.63/0.54 % (26649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.54 % (26649)Termination reason: Unknown
% 1.63/0.54 % (26649)Termination phase: Saturation
% 1.63/0.54
% 1.63/0.54 % (26649)Memory used [KB]: 5884
% 1.63/0.54 % (26649)Time elapsed: 0.162 s
% 1.63/0.54 % (26649)Instructions burned: 16 (million)
% 1.63/0.54 % (26649)------------------------------
% 1.63/0.54 % (26649)------------------------------
% 1.63/0.54 % (26653)Instruction limit reached!
% 1.63/0.54 % (26653)------------------------------
% 1.63/0.54 % (26653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.54 % (26653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.54 % (26653)Termination reason: Unknown
% 1.63/0.54 % (26653)Termination phase: Property scanning
% 1.63/0.54
% 1.63/0.54 % (26653)Memory used [KB]: 1023
% 1.63/0.54 % (26653)Time elapsed: 0.003 s
% 1.63/0.54 % (26653)Instructions burned: 2 (million)
% 1.63/0.54 % (26653)------------------------------
% 1.63/0.54 % (26653)------------------------------
% 1.63/0.54 % (26671)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.63/0.54 % (26647)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)
% 1.63/0.54 % (26647)Instruction limit reached!
% 1.63/0.54 % (26647)------------------------------
% 1.63/0.54 % (26647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.54 % (26647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.54 % (26647)Termination reason: Unknown
% 1.63/0.54 % (26647)Termination phase: Property scanning
% 1.63/0.54
% 1.63/0.54 % (26647)Memory used [KB]: 1023
% 1.63/0.54 % (26647)Time elapsed: 0.005 s
% 1.63/0.54 % (26647)Instructions burned: 3 (million)
% 1.63/0.54 % (26647)------------------------------
% 1.63/0.54 % (26647)------------------------------
% 1.63/0.55 % (26664)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.63/0.55 % (26670)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.63/0.55 % (26661)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.63/0.55 % (26663)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.55 % (26665)Instruction limit reached!
% 1.63/0.55 % (26665)------------------------------
% 1.63/0.55 % (26665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.55 % (26665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.55 % (26665)Termination reason: Unknown
% 1.63/0.55 % (26665)Termination phase: Saturation
% 1.63/0.55
% 1.63/0.55 % (26665)Memory used [KB]: 5884
% 1.63/0.55 % (26665)Time elapsed: 0.174 s
% 1.63/0.55 % (26665)Instructions burned: 21 (million)
% 1.63/0.55 % (26665)------------------------------
% 1.63/0.55 % (26665)------------------------------
% 1.63/0.57 % (26663)Instruction limit reached!
% 1.63/0.57 % (26663)------------------------------
% 1.63/0.57 % (26663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (26663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (26663)Termination reason: Unknown
% 1.63/0.57 % (26663)Termination phase: shuffling
% 1.63/0.57
% 1.63/0.57 % (26663)Memory used [KB]: 1023
% 1.63/0.57 % (26663)Time elapsed: 0.005 s
% 1.63/0.57 % (26663)Instructions burned: 3 (million)
% 1.63/0.57 % (26663)------------------------------
% 1.63/0.57 % (26663)------------------------------
% 1.63/0.57 % (26669)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.63/0.57 % (26673)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.63/0.58 % (26662)Instruction limit reached!
% 1.63/0.58 % (26662)------------------------------
% 1.63/0.58 % (26662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (26662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (26662)Termination reason: Unknown
% 1.63/0.58 % (26662)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (26662)Memory used [KB]: 5884
% 1.63/0.58 % (26662)Time elapsed: 0.187 s
% 1.63/0.58 % (26662)Instructions burned: 16 (million)
% 1.63/0.58 % (26662)------------------------------
% 1.63/0.58 % (26662)------------------------------
% 1.63/0.58 % (26652)Instruction limit reached!
% 1.63/0.58 % (26652)------------------------------
% 1.63/0.58 % (26652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (26652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (26652)Termination reason: Unknown
% 1.63/0.58 % (26652)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (26652)Memory used [KB]: 6012
% 1.63/0.58 % (26652)Time elapsed: 0.208 s
% 1.63/0.58 % (26652)Instructions burned: 27 (million)
% 1.63/0.58 % (26652)------------------------------
% 1.63/0.58 % (26652)------------------------------
% 1.63/0.58 % (26658)Instruction limit reached!
% 1.63/0.58 % (26658)------------------------------
% 1.63/0.58 % (26658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (26658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (26658)Termination reason: Unknown
% 1.63/0.58 % (26658)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (26658)Memory used [KB]: 6652
% 1.63/0.58 % (26658)Time elapsed: 0.170 s
% 1.63/0.58 % (26658)Instructions burned: 51 (million)
% 1.63/0.58 % (26658)------------------------------
% 1.63/0.58 % (26658)------------------------------
% 1.63/0.58 % (26671)Instruction limit reached!
% 1.63/0.58 % (26671)------------------------------
% 1.63/0.58 % (26671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (26671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (26671)Termination reason: Unknown
% 1.63/0.58 % (26671)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (26671)Memory used [KB]: 5884
% 1.63/0.58 % (26671)Time elapsed: 0.199 s
% 1.63/0.58 % (26671)Instructions burned: 21 (million)
% 1.63/0.58 % (26671)------------------------------
% 1.63/0.58 % (26671)------------------------------
% 1.63/0.59 % (26672)Instruction limit reached!
% 1.63/0.59 % (26672)------------------------------
% 1.63/0.59 % (26672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26666)Instruction limit reached!
% 1.63/0.59 % (26666)------------------------------
% 1.63/0.59 % (26666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (26666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (26672)Termination reason: Unknown
% 1.63/0.59 % (26666)Termination reason: Unknown
% 1.63/0.59 % (26666)Termination phase: Saturation
% 1.63/0.59 % (26672)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59
% 1.63/0.59 % (26666)Memory used [KB]: 1663
% 1.63/0.59 % (26666)Time elapsed: 0.216 s
% 1.63/0.59 % (26666)Instructions burned: 46 (million)
% 1.63/0.59 % (26666)------------------------------
% 1.63/0.59 % (26666)------------------------------
% 1.63/0.59 % (26645)Instruction limit reached!
% 1.63/0.59 % (26645)------------------------------
% 1.63/0.59 % (26645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (26645)Termination reason: Unknown
% 1.63/0.59 % (26645)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59 % (26651)Instruction limit reached!
% 1.63/0.59 % (26651)------------------------------
% 1.63/0.59 % (26651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (26651)Termination reason: Unknown
% 1.63/0.59 % (26651)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59 % (26651)Memory used [KB]: 6268
% 1.63/0.59 % (26651)Time elapsed: 0.180 s
% 1.63/0.59 % (26651)Instructions burned: 37 (million)
% 1.63/0.59 % (26651)------------------------------
% 1.63/0.59 % (26651)------------------------------
% 1.63/0.59 % (26654)Instruction limit reached!
% 1.63/0.59 % (26654)------------------------------
% 1.63/0.59 % (26654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26664)Instruction limit reached!
% 1.63/0.59 % (26664)------------------------------
% 1.63/0.59 % (26664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (26664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (26664)Termination reason: Unknown
% 1.63/0.59 % (26664)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59 % (26664)Memory used [KB]: 1407
% 1.63/0.59 % (26664)Time elapsed: 0.200 s
% 1.63/0.59 % (26664)Instructions burned: 16 (million)
% 1.63/0.59 % (26664)------------------------------
% 1.63/0.59 % (26664)------------------------------
% 1.63/0.60 % (26667)Instruction limit reached!
% 1.63/0.60 % (26667)------------------------------
% 1.63/0.60 % (26667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.60 % (26667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.60 % (26667)Termination reason: Unknown
% 1.63/0.60 % (26667)Termination phase: Saturation
% 1.63/0.60
% 1.63/0.60 % (26667)Memory used [KB]: 6268
% 1.63/0.60 % (26667)Time elapsed: 0.171 s
% 1.63/0.60 % (26667)Instructions burned: 51 (million)
% 1.63/0.60 % (26667)------------------------------
% 1.63/0.60 % (26667)------------------------------
% 1.63/0.60 % (26672)Memory used [KB]: 5884
% 1.63/0.60 % (26672)Time elapsed: 0.220 s
% 1.63/0.60 % (26672)Instructions burned: 21 (million)
% 1.63/0.60 % (26672)------------------------------
% 1.63/0.60 % (26672)------------------------------
% 1.63/0.61 % (26654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (26654)Termination reason: Unknown
% 1.63/0.61 % (26654)Termination phase: Saturation
% 1.63/0.61
% 1.63/0.61 % (26654)Memory used [KB]: 6140
% 1.63/0.61 % (26654)Time elapsed: 0.231 s
% 1.63/0.61 % (26654)Instructions burned: 36 (million)
% 1.63/0.61 % (26654)------------------------------
% 1.63/0.61 % (26654)------------------------------
% 1.63/0.61 % (26645)Memory used [KB]: 6140
% 1.63/0.61 % (26645)Time elapsed: 0.211 s
% 1.63/0.61 % (26645)Instructions burned: 34 (million)
% 1.63/0.61 % (26645)------------------------------
% 1.63/0.61 % (26645)------------------------------
% 1.63/0.61 % (26648)Instruction limit reached!
% 1.63/0.61 % (26648)------------------------------
% 1.63/0.61 % (26648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (26670)Instruction limit reached!
% 1.63/0.61 % (26670)------------------------------
% 1.63/0.61 % (26670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (26648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (26648)Termination reason: Unknown
% 1.63/0.62 % (26648)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (26648)Memory used [KB]: 6140
% 1.63/0.62 % (26648)Time elapsed: 0.228 s
% 1.63/0.62 % (26648)Instructions burned: 38 (million)
% 1.63/0.62 % (26648)------------------------------
% 1.63/0.62 % (26648)------------------------------
% 2.18/0.63 % (26670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (26670)Termination reason: Unknown
% 2.18/0.63 % (26670)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (26670)Memory used [KB]: 6524
% 2.18/0.63 % (26670)Time elapsed: 0.243 s
% 2.18/0.63 % (26670)Instructions burned: 43 (million)
% 2.18/0.63 % (26670)------------------------------
% 2.18/0.63 % (26670)------------------------------
% 2.18/0.64 % (26669)Instruction limit reached!
% 2.18/0.64 % (26669)------------------------------
% 2.18/0.64 % (26669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64 % (26669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64 % (26669)Termination reason: Unknown
% 2.18/0.64 % (26669)Termination phase: Saturation
% 2.18/0.64
% 2.18/0.64 % (26669)Memory used [KB]: 6268
% 2.18/0.64 % (26669)Time elapsed: 0.266 s
% 2.18/0.64 % (26669)Instructions burned: 42 (million)
% 2.18/0.64 % (26669)------------------------------
% 2.18/0.64 % (26669)------------------------------
% 2.18/0.65 % (26661)Instruction limit reached!
% 2.18/0.65 % (26661)------------------------------
% 2.18/0.65 % (26661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.65 % (26661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.65 % (26661)Termination reason: Unknown
% 2.18/0.65 % (26661)Termination phase: Saturation
% 2.18/0.65
% 2.18/0.65 % (26661)Memory used [KB]: 6140
% 2.18/0.65 % (26661)Time elapsed: 0.267 s
% 2.18/0.65 % (26661)Instructions burned: 50 (million)
% 2.18/0.65 % (26661)------------------------------
% 2.18/0.65 % (26661)------------------------------
% 2.18/0.66 % (26668)Instruction limit reached!
% 2.18/0.66 % (26668)------------------------------
% 2.18/0.66 % (26668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (26668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (26668)Termination reason: Unknown
% 2.18/0.66 % (26668)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (26668)Memory used [KB]: 1663
% 2.18/0.66 % (26668)Time elapsed: 0.287 s
% 2.18/0.66 % (26668)Instructions burned: 47 (million)
% 2.18/0.66 % (26668)------------------------------
% 2.18/0.66 % (26668)------------------------------
% 2.18/0.66 % (26673)Instruction limit reached!
% 2.18/0.66 % (26673)------------------------------
% 2.18/0.66 % (26673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68 % (26673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68 % (26673)Termination reason: Unknown
% 2.18/0.68 % (26673)Termination phase: Saturation
% 2.18/0.68
% 2.18/0.68 % (26673)Memory used [KB]: 6396
% 2.18/0.68 % (26673)Time elapsed: 0.240 s
% 2.18/0.68 % (26673)Instructions burned: 42 (million)
% 2.18/0.68 % (26673)------------------------------
% 2.18/0.68 % (26673)------------------------------
% 2.18/0.69 % (26675)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.28/0.71 % (26674)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)
% 2.28/0.72 % (26680)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 (2997ds/58Mi)
% 2.28/0.72 % (26676)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.28/0.73 % (26677)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 (2997ds/148Mi)
% 2.28/0.73 % (26682)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 (2997ds/108Mi)
% 2.28/0.74 % (26678)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 (2997ds/100Mi)
% 2.28/0.74 % (26685)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.28/0.74 % (26674)Instruction limit reached!
% 2.28/0.74 % (26674)------------------------------
% 2.28/0.74 % (26674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.74 % (26674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.74 % (26674)Termination reason: Unknown
% 2.28/0.74 % (26674)Termination phase: Saturation
% 2.28/0.74
% 2.28/0.74 % (26674)Memory used [KB]: 5884
% 2.28/0.74 % (26674)Time elapsed: 0.169 s
% 2.28/0.74 % (26674)Instructions burned: 16 (million)
% 2.28/0.74 % (26674)------------------------------
% 2.28/0.74 % (26674)------------------------------
% 2.28/0.75 % (26683)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.28/0.76 % (26681)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.36/0.76 % (26689)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.36/0.76 % (26687)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.36/0.76 % (26679)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 (2997ds/76Mi)
% 2.36/0.77 % (26684)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.36/0.78 % (26675)Instruction limit reached!
% 2.36/0.78 % (26675)------------------------------
% 2.36/0.78 % (26675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.79 % (26686)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.36/0.79 % (26696)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.36/0.79 % (26675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.79 % (26675)Termination reason: Unknown
% 2.36/0.79 % (26675)Termination phase: Saturation
% 2.36/0.79
% 2.36/0.79 % (26675)Memory used [KB]: 6396
% 2.36/0.79 % (26675)Time elapsed: 0.175 s
% 2.36/0.79 % (26675)Instructions burned: 47 (million)
% 2.36/0.79 % (26675)------------------------------
% 2.36/0.79 % (26675)------------------------------
% 2.36/0.80 % (26692)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.36/0.80 % (26676)Instruction limit reached!
% 2.36/0.80 % (26676)------------------------------
% 2.36/0.80 % (26676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.80 % (26676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.80 % (26676)Termination reason: Unknown
% 2.36/0.80 % (26676)Termination phase: Saturation
% 2.36/0.80
% 2.36/0.80 % (26676)Memory used [KB]: 5884
% 2.36/0.80 % (26676)Time elapsed: 0.212 s
% 2.36/0.80 % (26676)Instructions burned: 26 (million)
% 2.36/0.80 % (26676)------------------------------
% 2.36/0.80 % (26676)------------------------------
% 2.36/0.81 % (26694)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.36/0.81 % (26691)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.36/0.81 % (26688)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.36/0.81 % (26693)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.36/0.82 % (26690)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.36/0.84 % (26695)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.36/0.86 % (26680)Instruction limit reached!
% 2.36/0.86 % (26680)------------------------------
% 2.36/0.86 % (26680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.86 % (26680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.86 % (26680)Termination reason: Unknown
% 2.36/0.86 % (26680)Termination phase: Saturation
% 2.36/0.86
% 2.36/0.86 % (26680)Memory used [KB]: 6780
% 2.36/0.86 % (26680)Time elapsed: 0.273 s
% 2.36/0.86 % (26680)Instructions burned: 59 (million)
% 2.36/0.86 % (26680)------------------------------
% 2.36/0.86 % (26680)------------------------------
% 2.62/0.86 % (26697)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 (2996ds/294Mi)
% 2.62/0.87 % (26701)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 (2996ds/488Mi)
% 2.62/0.87 % (26698)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.62/0.88 % (26699)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 (2996ds/374Mi)
% 2.62/0.89 % (26702)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 (2996ds/230Mi)
% 2.63/0.90 % (26700)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 2.64/0.94 % (26679)Instruction limit reached!
% 2.64/0.94 % (26679)------------------------------
% 2.64/0.94 % (26679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.94 % (26679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.94 % (26679)Termination reason: Unknown
% 2.64/0.94 % (26679)Termination phase: Saturation
% 2.64/0.94
% 2.64/0.94 % (26679)Memory used [KB]: 6908
% 2.64/0.94 % (26679)Time elapsed: 0.358 s
% 2.64/0.94 % (26679)Instructions burned: 77 (million)
% 2.64/0.94 % (26679)------------------------------
% 2.64/0.94 % (26679)------------------------------
% 2.64/0.95 % (26682)Instruction limit reached!
% 2.64/0.95 % (26682)------------------------------
% 2.64/0.95 % (26682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.95 % (26682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.95 % (26682)Termination reason: Unknown
% 2.64/0.95 % (26682)Termination phase: Saturation
% 2.64/0.95
% 2.64/0.95 % (26682)Memory used [KB]: 5884
% 2.64/0.95 % (26682)Time elapsed: 0.066 s
% 2.64/0.95 % (26682)Instructions burned: 108 (million)
% 2.64/0.95 % (26682)------------------------------
% 2.64/0.95 % (26682)------------------------------
% 2.64/0.95 % (26703)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 (2995ds/360Mi)
% 2.64/0.98 % (26681)Instruction limit reached!
% 2.64/0.98 % (26681)------------------------------
% 2.64/0.98 % (26681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.98 % (26681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.98 % (26681)Termination reason: Unknown
% 2.64/0.98 % (26681)Termination phase: Saturation
% 2.64/0.98
% 2.64/0.98 % (26681)Memory used [KB]: 5884
% 2.64/0.98 % (26681)Time elapsed: 0.356 s
% 2.64/0.98 % (26681)Instructions burned: 99 (million)
% 2.64/0.98 % (26681)------------------------------
% 2.64/0.98 % (26681)------------------------------
% 2.97/1.00 % (26704)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 (2995ds/382Mi)
% 2.97/1.01 % (26678)Instruction limit reached!
% 2.97/1.01 % (26678)------------------------------
% 2.97/1.01 % (26678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/1.01 % (26678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/1.01 % (26678)Termination reason: Unknown
% 2.97/1.01 % (26678)Termination phase: Saturation
% 2.97/1.01
% 2.97/1.01 % (26678)Memory used [KB]: 7547
% 2.97/1.01 % (26678)Time elapsed: 0.415 s
% 2.97/1.01 % (26678)Instructions burned: 101 (million)
% 2.97/1.01 % (26678)------------------------------
% 2.97/1.01 % (26678)------------------------------
% 2.97/1.02 % (26692)Instruction limit reached!
% 2.97/1.02 % (26692)------------------------------
% 2.97/1.02 % (26692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/1.02 % (26692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/1.02 % (26692)Termination reason: Unknown
% 2.97/1.02 % (26692)Termination phase: Saturation
% 2.97/1.02
% 2.97/1.02 % (26692)Memory used [KB]: 6652
% 2.97/1.02 % (26692)Time elapsed: 0.365 s
% 2.97/1.02 % (26692)Instructions burned: 81 (million)
% 2.97/1.02 % (26692)------------------------------
% 2.97/1.02 % (26692)------------------------------
% 2.97/1.04 % (26705)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 (2995ds/256Mi)
% 2.97/1.05 % (26677)Instruction limit reached!
% 2.97/1.05 % (26677)------------------------------
% 2.97/1.05 % (26677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/1.05 % (26677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/1.05 % (26677)Termination reason: Unknown
% 2.97/1.05 % (26677)Termination phase: Saturation
% 2.97/1.05
% 2.97/1.05 % (26677)Memory used [KB]: 6908
% 2.97/1.05 % (26677)Time elapsed: 0.477 s
% 2.97/1.05 % (26677)Instructions burned: 148 (million)
% 2.97/1.05 % (26677)------------------------------
% 2.97/1.05 % (26677)------------------------------
% 3.37/1.06 % (26689)Instruction limit reached!
% 3.37/1.06 % (26689)------------------------------
% 3.37/1.06 % (26689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/1.06 % (26689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/1.06 % (26689)Termination reason: Unknown
% 3.37/1.06 % (26689)Termination phase: Saturation
% 3.37/1.06
% 3.37/1.06 % (26689)Memory used [KB]: 1663
% 3.37/1.06 % (26689)Time elapsed: 0.392 s
% 3.37/1.06 % (26689)Instructions burned: 160 (million)
% 3.37/1.06 % (26689)------------------------------
% 3.37/1.06 % (26689)------------------------------
% 3.37/1.10 % (26706)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1006Mi)
% 3.37/1.12 % (26693)Instruction limit reached!
% 3.37/1.12 % (26693)------------------------------
% 3.37/1.12 % (26693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/1.12 % (26693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/1.12 % (26693)Termination reason: Unknown
% 3.37/1.12 % (26693)Termination phase: Saturation
% 3.37/1.12
% 3.37/1.12 % (26693)Memory used [KB]: 1918
% 3.37/1.12 % (26693)Time elapsed: 0.469 s
% 3.37/1.12 % (26693)Instructions burned: 147 (million)
% 3.37/1.12 % (26693)------------------------------
% 3.37/1.12 % (26693)------------------------------
% 3.37/1.14 % (26685)Refutation not found, non-redundant clauses discarded% (26685)------------------------------
% 3.37/1.14 % (26685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/1.14 % (26685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/1.14 % (26685)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.37/1.14
% 3.37/1.14 % (26685)Memory used [KB]: 2046
% 3.37/1.14 % (26685)Time elapsed: 0.455 s
% 3.37/1.14 % (26685)Instructions burned: 199 (million)
% 3.37/1.14 % (26685)------------------------------
% 3.37/1.14 % (26685)------------------------------
% 3.37/1.14 % (26688)Instruction limit reached!
% 3.37/1.14 % (26688)------------------------------
% 3.37/1.14 % (26688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/1.14 % (26688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/1.14 % (26688)Termination reason: Unknown
% 3.37/1.14 % (26688)Termination phase: Saturation
% 3.37/1.14
% 3.37/1.14 % (26688)Memory used [KB]: 1791
% 3.37/1.14 % (26688)Time elapsed: 0.492 s
% 3.37/1.14 % (26688)Instructions burned: 151 (million)
% 3.37/1.14 % (26688)------------------------------
% 3.37/1.14 % (26688)------------------------------
% 3.37/1.16 % (26707)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3721Mi)
% 6.69/1.22 % (26708)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 (2993ds/501Mi)
% 7.09/1.23 % (26694)Instruction limit reached!
% 7.09/1.23 % (26694)------------------------------
% 7.09/1.23 % (26694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.09/1.24 % (26694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.09/1.24 % (26694)Termination reason: Unknown
% 7.09/1.24 % (26694)Termination phase: Saturation
% 7.09/1.24
% 7.09/1.24 % (26694)Memory used [KB]: 7931
% 7.09/1.24 % (26694)Time elapsed: 0.518 s
% 7.09/1.24 % (26694)Instructions burned: 211 (million)
% 7.09/1.24 % (26694)------------------------------
% 7.09/1.24 % (26694)------------------------------
% 7.09/1.25 % (26709)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 (2993ds/1705Mi)
% 7.09/1.26 % (26711)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 (2992ds/1683Mi)
% 7.40/1.26 % (26710)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 (2993ds/2416Mi)
% 7.40/1.27 % (26713)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/113Mi)
% 7.40/1.29 % (26712)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 (2992ds/330Mi)
% 7.92/1.35 % (26716)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 (2991ds/2304Mi)
% 8.21/1.37 % (26714)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/3217Mi)
% 8.66/1.43 % (26715)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 (2991ds/3528Mi)
% 8.66/1.45 % (26698)Instruction limit reached!
% 8.66/1.45 % (26698)------------------------------
% 8.66/1.45 % (26698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.66/1.45 % (26698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.66/1.45 % (26698)Termination reason: Unknown
% 8.66/1.45 % (26698)Termination phase: Saturation
% 8.66/1.45
% 8.66/1.45 % (26698)Memory used [KB]: 8571
% 8.66/1.45 % (26698)Time elapsed: 0.753 s
% 8.66/1.45 % (26698)Instructions burned: 214 (million)
% 8.66/1.45 % (26698)------------------------------
% 8.66/1.45 % (26698)------------------------------
% 8.66/1.45 % (26713)Instruction limit reached!
% 8.66/1.45 % (26713)------------------------------
% 8.66/1.45 % (26713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.66/1.45 % (26717)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 (2990ds/3780Mi)
% 8.66/1.46 % (26713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.66/1.46 % (26713)Termination reason: Unknown
% 8.66/1.46 % (26713)Termination phase: Saturation
% 8.66/1.46
% 8.66/1.46 % (26713)Memory used [KB]: 1279
% 8.66/1.46 % (26713)Time elapsed: 0.269 s
% 8.66/1.46 % (26713)Instructions burned: 114 (million)
% 8.66/1.46 % (26713)------------------------------
% 8.66/1.46 % (26713)------------------------------
% 8.89/1.47 % (26702)Instruction limit reached!
% 8.89/1.47 % (26702)------------------------------
% 8.89/1.47 % (26702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.89/1.47 % (26702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.89/1.47 % (26702)Termination reason: Unknown
% 8.89/1.47 % (26702)Termination phase: Saturation
% 8.89/1.47
% 8.89/1.47 % (26702)Memory used [KB]: 2558
% 8.89/1.47 % (26702)Time elapsed: 0.742 s
% 8.89/1.47 % (26702)Instructions burned: 230 (million)
% 8.89/1.47 % (26702)------------------------------
% 8.89/1.47 % (26702)------------------------------
% 8.89/1.48 % (26695)Instruction limit reached!
% 8.89/1.48 % (26695)------------------------------
% 8.89/1.48 % (26695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.89/1.48 % (26695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.89/1.48 % (26695)Termination reason: Unknown
% 8.89/1.48 % (26695)Termination phase: Saturation
% 8.89/1.48
% 8.89/1.48 % (26695)Memory used [KB]: 8315
% 8.89/1.48 % (26695)Time elapsed: 0.793 s
% 8.89/1.48 % (26695)Instructions burned: 274 (million)
% 8.89/1.48 % (26695)------------------------------
% 8.89/1.48 % (26695)------------------------------
% 8.89/1.49 % (26696)Instruction limit reached!
% 8.89/1.49 % (26696)------------------------------
% 8.89/1.49 % (26696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.89/1.49 % (26696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.89/1.49 % (26696)Termination reason: Unknown
% 8.89/1.49 % (26696)Termination phase: Saturation
% 8.89/1.49
% 8.89/1.49 % (26696)Memory used [KB]: 9083
% 8.89/1.49 % (26696)Time elapsed: 0.827 s
% 8.89/1.49 % (26696)Instructions burned: 330 (million)
% 8.89/1.49 % (26696)------------------------------
% 8.89/1.49 % (26696)------------------------------
% 8.89/1.52 % (26697)Instruction limit reached!
% 8.89/1.52 % (26697)------------------------------
% 8.89/1.52 % (26697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.89/1.52 % (26697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.89/1.52 % (26697)Termination reason: Unknown
% 8.89/1.52 % (26697)Termination phase: Saturation
% 8.89/1.52
% 8.89/1.52 % (26697)Memory used [KB]: 2174
% 8.89/1.52 % (26697)Time elapsed: 0.843 s
% 8.89/1.52 % (26697)Instructions burned: 294 (million)
% 8.89/1.52 % (26697)------------------------------
% 8.89/1.52 % (26697)------------------------------
% 9.65/1.56 % (26686)Instruction limit reached!
% 9.65/1.56 % (26686)------------------------------
% 9.65/1.56 % (26686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.65/1.56 % (26686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.65/1.56 % (26686)Termination reason: Unknown
% 9.65/1.56 % (26686)Termination phase: Saturation
% 9.65/1.56
% 9.65/1.56 % (26686)Memory used [KB]: 2046
% 9.65/1.56 % (26686)Time elapsed: 0.928 s
% 9.65/1.56 % (26686)Instructions burned: 343 (million)
% 9.65/1.56 % (26686)------------------------------
% 9.65/1.56 % (26686)------------------------------
% 10.03/1.66 % (26718)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/238Mi)
% 10.03/1.66 % (26699)Instruction limit reached!
% 10.03/1.66 % (26699)------------------------------
% 10.03/1.66 % (26699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.03/1.66 % (26699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.03/1.66 % (26699)Termination reason: Unknown
% 10.03/1.66 % (26699)Termination phase: Saturation
% 10.03/1.66
% 10.03/1.66 % (26699)Memory used [KB]: 2942
% 10.03/1.66 % (26699)Time elapsed: 0.949 s
% 10.03/1.66 % (26699)Instructions burned: 374 (million)
% 10.03/1.66 % (26699)------------------------------
% 10.03/1.66 % (26699)------------------------------
% 10.22/1.67 % (26719)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/656Mi)
% 10.22/1.68 % (26690)Instruction limit reached!
% 10.22/1.68 % (26690)------------------------------
% 10.22/1.68 % (26690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.68 % (26690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.68 % (26690)Termination reason: Unknown
% 10.22/1.68 % (26690)Termination phase: Saturation
% 10.22/1.68
% 10.22/1.68 % (26690)Memory used [KB]: 2942
% 10.22/1.68 % (26690)Time elapsed: 1.007 s
% 10.22/1.68 % (26690)Instructions burned: 370 (million)
% 10.22/1.68 % (26690)------------------------------
% 10.22/1.68 % (26690)------------------------------
% 10.22/1.69 % (26705)Refutation not found, non-redundant clauses discarded% (26705)------------------------------
% 10.22/1.69 % (26705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.69 % (26705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.69 % (26705)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.22/1.69
% 10.22/1.69 % (26705)Memory used [KB]: 3454
% 10.22/1.69 % (26705)Time elapsed: 0.828 s
% 10.22/1.69 % (26705)Instructions burned: 249 (million)
% 10.22/1.69 % (26705)------------------------------
% 10.22/1.69 % (26705)------------------------------
% 10.22/1.69 % (26722)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/980Mi)
% 10.22/1.72 % (26721)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1302Mi)
% 10.22/1.72 % (26704)Instruction limit reached!
% 10.22/1.72 % (26704)------------------------------
% 10.22/1.72 % (26704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.72 % (26704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.72 % (26704)Termination reason: Unknown
% 10.22/1.72 % (26704)Termination phase: Saturation
% 10.22/1.72
% 10.22/1.72 % (26704)Memory used [KB]: 4093
% 10.22/1.72 % (26704)Time elapsed: 0.808 s
% 10.22/1.72 % (26704)Instructions burned: 382 (million)
% 10.22/1.72 % (26704)------------------------------
% 10.22/1.72 % (26704)------------------------------
% 10.22/1.73 % (26720)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/485Mi)
% 10.22/1.73 % (26684)Instruction limit reached!
% 10.22/1.73 % (26684)------------------------------
% 10.22/1.73 % (26684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.73 % (26684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.73 % (26684)Termination reason: Unknown
% 10.22/1.73 % (26684)Termination phase: Saturation
% 10.22/1.73
% 10.22/1.73 % (26684)Memory used [KB]: 3326
% 10.22/1.73 % (26684)Time elapsed: 0.922 s
% 10.22/1.73 % (26684)Instructions burned: 494 (million)
% 10.22/1.73 % (26684)------------------------------
% 10.22/1.73 % (26684)------------------------------
% 10.22/1.75 % (26701)Instruction limit reached!
% 10.22/1.75 % (26701)------------------------------
% 10.22/1.75 % (26701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.22/1.75 % (26701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.22/1.75 % (26701)Termination reason: Unknown
% 10.22/1.75 % (26701)Termination phase: Saturation
% 10.22/1.75
% 10.22/1.75 % (26701)Memory used [KB]: 6396
% 10.22/1.75 % (26701)Time elapsed: 1.034 s
% 10.22/1.75 % (26701)Instructions burned: 488 (million)
% 10.22/1.75 % (26701)------------------------------
% 10.22/1.75 % (26701)------------------------------
% 11.26/1.77 % (26723)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/591Mi)
% 11.26/1.78 % (26683)Instruction limit reached!
% 11.26/1.78 % (26683)------------------------------
% 11.26/1.78 % (26683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.26/1.78 % (26683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.26/1.78 % (26683)Termination reason: Unknown
% 11.26/1.78 % (26683)Termination phase: Saturation
% 11.26/1.78
% 11.26/1.78 % (26683)Memory used [KB]: 11257
% 11.26/1.78 % (26683)Time elapsed: 1.184 s
% 11.26/1.78 % (26683)Instructions burned: 463 (million)
% 11.26/1.78 % (26683)------------------------------
% 11.26/1.78 % (26683)------------------------------
% 11.57/1.79 % (26724)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/638Mi)
% 12.11/1.86 % (26687)Instruction limit reached!
% 12.11/1.86 % (26687)------------------------------
% 12.11/1.86 % (26687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/1.86 % (26687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/1.86 % (26687)Termination reason: Unknown
% 12.11/1.86 % (26687)Termination phase: Saturation
% 12.11/1.86
% 12.11/1.86 % (26687)Memory used [KB]: 6396
% 12.11/1.86 % (26687)Time elapsed: 1.212 s
% 12.11/1.86 % (26687)Instructions burned: 488 (million)
% 12.11/1.86 % (26687)------------------------------
% 12.11/1.86 % (26687)------------------------------
% 12.13/1.87 % (26725)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/947Mi)
% 12.13/1.89 % (26728)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/361Mi)
% 12.13/1.89 % (26703)Refutation not found, non-redundant clauses discarded% (26703)------------------------------
% 12.13/1.89 % (26703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.13/1.89 % (26703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.13/1.89 % (26703)Termination reason: Refutation not found, non-redundant clauses discarded
% 12.13/1.89
% 12.13/1.89 % (26703)Memory used [KB]: 2942
% 12.13/1.89 % (26703)Time elapsed: 1.033 s
% 12.13/1.89 % (26703)Instructions burned: 356 (million)
% 12.13/1.89 % (26703)------------------------------
% 12.13/1.89 % (26703)------------------------------
% 12.38/1.91 % (26726)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/691Mi)
% 12.38/1.93 % (26727)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/370Mi)
% 12.60/1.94 % (26691)Instruction limit reached!
% 12.60/1.94 % (26691)------------------------------
% 12.60/1.94 % (26691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.60/1.94 % (26691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.60/1.94 % (26691)Termination reason: Unknown
% 12.60/1.94 % (26691)Termination phase: Saturation
% 12.60/1.94
% 12.60/1.94 % (26691)Memory used [KB]: 4605
% 12.60/1.94 % (26691)Time elapsed: 1.277 s
% 12.60/1.94 % (26691)Instructions burned: 493 (million)
% 12.60/1.94 % (26691)------------------------------
% 12.60/1.94 % (26691)------------------------------
% 12.60/1.96 % (26700)Instruction limit reached!
% 12.60/1.96 % (26700)------------------------------
% 12.60/1.96 % (26700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.60/1.96 % (26700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.60/1.96 % (26700)Termination reason: Unknown
% 12.60/1.96 % (26700)Termination phase: Saturation
% 12.60/1.96
% 12.60/1.96 % (26700)Memory used [KB]: 11769
% 12.60/1.96 % (26700)Time elapsed: 0.435 s
% 12.60/1.96 % (26700)Instructions burned: 500 (million)
% 12.60/1.96 % (26700)------------------------------
% 12.60/1.96 % (26700)------------------------------
% 12.60/2.01 % (26729)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3058Mi)
% 12.60/2.02 % (26731)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/2501Mi)
% 12.60/2.02 % (26730)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1198Mi)
% 12.60/2.02 % (26718)Instruction limit reached!
% 12.60/2.02 % (26718)------------------------------
% 12.60/2.02 % (26718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.60/2.02 % (26718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.60/2.02 % (26718)Termination reason: Unknown
% 12.60/2.02 % (26718)Termination phase: Saturation
% 12.60/2.02
% 12.60/2.02 % (26718)Memory used [KB]: 2302
% 12.60/2.02 % (26718)Time elapsed: 0.537 s
% 12.60/2.02 % (26718)Instructions burned: 240 (million)
% 12.60/2.02 % (26718)------------------------------
% 12.60/2.02 % (26718)------------------------------
% 13.21/2.08 % (26712)Instruction limit reached!
% 13.21/2.08 % (26712)------------------------------
% 13.21/2.08 % (26712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.21/2.08 % (26712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.21/2.08 % (26712)Termination reason: Unknown
% 13.21/2.08 % (26712)Termination phase: Saturation
% 13.21/2.08
% 13.21/2.08 % (26712)Memory used [KB]: 4733
% 13.21/2.08 % (26712)Time elapsed: 0.981 s
% 13.21/2.08 % (26712)Instructions burned: 331 (million)
% 13.21/2.08 % (26712)------------------------------
% 13.21/2.08 % (26712)------------------------------
% 13.62/2.10 % (26732)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 (2984ds/256Mi)
% 13.62/2.13 % (26733)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/217Mi)
% 14.03/2.18 % (26735)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1006Mi)
% 14.25/2.22 % (26734)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1168Mi)
% 14.25/2.24 % (26737)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4966Mi)
% 15.23/2.34 % (26739)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4835Mi)
% 16.49/2.41 % (26708)Instruction limit reached!
% 16.49/2.41 % (26708)------------------------------
% 16.49/2.41 % (26708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.41 % (26708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.41 % (26708)Termination reason: Unknown
% 16.49/2.41 % (26708)Termination phase: Saturation
% 16.49/2.41
% 16.49/2.41 % (26708)Memory used [KB]: 9466
% 16.49/2.41 % (26708)Time elapsed: 1.370 s
% 16.49/2.41 % (26708)Instructions burned: 503 (million)
% 16.49/2.41 % (26708)------------------------------
% 16.49/2.41 % (26708)------------------------------
% 16.91/2.51 % (26728)Instruction limit reached!
% 16.91/2.51 % (26728)------------------------------
% 16.91/2.51 % (26728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.91/2.51 % (26728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.91/2.51 % (26728)Termination reason: Unknown
% 16.91/2.51 % (26728)Termination phase: Saturation
% 16.91/2.51
% 16.91/2.51 % (26728)Memory used [KB]: 2814
% 16.91/2.51 % (26728)Time elapsed: 0.766 s
% 16.91/2.51 % (26728)Instructions burned: 362 (million)
% 16.91/2.51 % (26728)------------------------------
% 16.91/2.51 % (26728)------------------------------
% 17.86/2.61 % (26741)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/3932Mi)
% 18.27/2.65 % (26733)Instruction limit reached!
% 18.27/2.65 % (26733)------------------------------
% 18.27/2.65 % (26733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.27/2.65 % (26733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.27/2.65 % (26733)Termination reason: Unknown
% 18.27/2.65 % (26733)Termination phase: Saturation
% 18.27/2.65
% 18.27/2.65 % (26733)Memory used [KB]: 7164
% 18.27/2.65 % (26733)Time elapsed: 0.666 s
% 18.27/2.65 % (26733)Instructions burned: 217 (million)
% 18.27/2.65 % (26733)------------------------------
% 18.27/2.65 % (26733)------------------------------
% 18.27/2.66 % (26727)Instruction limit reached!
% 18.27/2.66 % (26727)------------------------------
% 18.27/2.66 % (26727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.27/2.66 % (26727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.27/2.66 % (26727)Termination reason: Unknown
% 18.27/2.66 % (26727)Termination phase: Saturation
% 18.27/2.66
% 18.27/2.66 % (26727)Memory used [KB]: 3326
% 18.27/2.66 % (26727)Time elapsed: 0.903 s
% 18.27/2.66 % (26727)Instructions burned: 371 (million)
% 18.27/2.66 % (26727)------------------------------
% 18.27/2.66 % (26727)------------------------------
% 18.27/2.67 % (26720)Instruction limit reached!
% 18.27/2.67 % (26720)------------------------------
% 18.27/2.67 % (26720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.27/2.68 % (26720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.27/2.68 % (26720)Termination reason: Unknown
% 18.27/2.68 % (26720)Termination phase: Saturation
% 18.27/2.68
% 18.27/2.68 % (26720)Memory used [KB]: 4349
% 18.27/2.68 % (26720)Time elapsed: 1.126 s
% 18.27/2.68 % (26720)Instructions burned: 486 (million)
% 18.27/2.68 % (26720)------------------------------
% 18.27/2.68 % (26720)------------------------------
% 18.75/2.72 % (26742)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/1742Mi)
% 18.75/2.74 % (26732)Refutation not found, non-redundant clauses discarded% (26732)------------------------------
% 18.75/2.74 % (26732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.75/2.74 % (26732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.75/2.74 % (26732)Termination reason: Refutation not found, non-redundant clauses discarded
% 18.75/2.74
% 18.75/2.74 % (26732)Memory used [KB]: 3326
% 18.75/2.74 % (26732)Time elapsed: 0.790 s
% 18.75/2.74 % (26732)Instructions burned: 246 (million)
% 18.75/2.74 % (26732)------------------------------
% 18.75/2.74 % (26732)------------------------------
% 19.09/2.80 % (26719)Instruction limit reached!
% 19.09/2.80 % (26719)------------------------------
% 19.09/2.80 % (26719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.09/2.80 % (26719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.09/2.80 % (26719)Termination reason: Unknown
% 19.09/2.80 % (26719)Termination phase: Saturation
% 19.09/2.80
% 19.09/2.80 % (26719)Memory used [KB]: 4861
% 19.09/2.80 % (26719)Time elapsed: 1.288 s
% 19.09/2.80 % (26719)Instructions burned: 657 (million)
% 19.09/2.80 % (26719)------------------------------
% 19.09/2.80 % (26719)------------------------------
% 19.09/2.84 % (26747)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/947Mi)
% 19.09/2.85 % (26748)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/3622Mi)
% 19.66/2.88 % (26745)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/3843Mi)
% 20.38/2.94 % (26723)Instruction limit reached!
% 20.38/2.94 % (26723)------------------------------
% 20.38/2.94 % (26723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.38/2.94 % (26723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.38/2.94 % (26723)Termination reason: Unknown
% 20.38/2.94 % (26723)Termination phase: Saturation
% 20.38/2.94
% 20.38/2.94 % (26723)Memory used [KB]: 12537
% 20.38/2.94 % (26723)Time elapsed: 0.370 s
% 20.38/2.94 % (26723)Instructions burned: 593 (million)
% 20.38/2.94 % (26723)------------------------------
% 20.38/2.94 % (26723)------------------------------
% 21.03/2.99 % (26749)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/4725Mi)
% 21.30/3.06 % (26724)Instruction limit reached!
% 21.30/3.06 % (26724)------------------------------
% 21.30/3.06 % (26724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.30/3.06 % (26724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.30/3.06 % (26724)Termination reason: Unknown
% 21.30/3.06 % (26724)Termination phase: Saturation
% 21.30/3.06
% 21.30/3.06 % (26724)Memory used [KB]: 6652
% 21.30/3.06 % (26724)Time elapsed: 1.435 s
% 21.30/3.06 % (26724)Instructions burned: 639 (million)
% 21.30/3.06 % (26724)------------------------------
% 21.30/3.06 % (26724)------------------------------
% 21.30/3.09 % (26750)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/1518Mi)
% 22.03/3.19 % (26751)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/2661Mi)
% 22.61/3.19 % (26722)Instruction limit reached!
% 22.61/3.19 % (26722)------------------------------
% 22.61/3.19 % (26722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.61/3.19 % (26722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.61/3.19 % (26722)Termination reason: Unknown
% 22.61/3.19 % (26722)Termination phase: Saturation
% 22.61/3.19
% 22.61/3.19 % (26722)Memory used [KB]: 4349
% 22.61/3.19 % (26722)Time elapsed: 1.229 s
% 22.61/3.19 % (26722)Instructions burned: 980 (million)
% 22.61/3.19 % (26722)------------------------------
% 22.61/3.19 % (26722)------------------------------
% 22.61/3.22 % (26726)Instruction limit reached!
% 22.61/3.22 % (26726)------------------------------
% 22.61/3.22 % (26726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.61/3.22 % (26726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.61/3.22 % (26726)Termination reason: Unknown
% 22.61/3.22 % (26726)Termination phase: Saturation
% 22.61/3.22
% 22.61/3.22 % (26726)Memory used [KB]: 4861
% 22.61/3.22 % (26726)Time elapsed: 1.485 s
% 22.61/3.22 % (26726)Instructions burned: 692 (million)
% 22.61/3.22 % (26726)------------------------------
% 22.61/3.22 % (26726)------------------------------
% 22.61/3.26 % (26752)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/1324Mi)
% 23.55/3.38 % (26756)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/1168Mi)
% 23.55/3.42 % (26757)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/11321Mi)
% 25.96/3.62 % (26706)Instruction limit reached!
% 25.96/3.62 % (26706)------------------------------
% 25.96/3.62 % (26706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.96/3.62 % (26706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.96/3.62 % (26706)Termination reason: Unknown
% 25.96/3.62 % (26706)Termination phase: Saturation
% 25.96/3.62
% 25.96/3.62 % (26706)Memory used [KB]: 10874
% 25.96/3.62 % (26706)Time elapsed: 2.700 s
% 25.96/3.62 % (26706)Instructions burned: 1007 (million)
% 25.96/3.62 % (26706)------------------------------
% 25.96/3.62 % (26706)------------------------------
% 27.63/3.88 % (26725)Instruction limit reached!
% 27.63/3.88 % (26725)------------------------------
% 27.63/3.88 % (26725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.63/3.88 % (26725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.63/3.88 % (26725)Termination reason: Unknown
% 27.63/3.88 % (26725)Termination phase: Saturation
% 27.63/3.88
% 27.63/3.88 % (26725)Memory used [KB]: 12153
% 27.63/3.88 % (26725)Time elapsed: 2.105 s
% 27.63/3.88 % (26725)Instructions burned: 947 (million)
% 27.63/3.88 % (26725)------------------------------
% 27.63/3.88 % (26725)------------------------------
% 27.63/3.88 % (26758)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/12082Mi)
% 28.29/3.91 % (26735)Instruction limit reached!
% 28.29/3.91 % (26735)------------------------------
% 28.29/3.91 % (26735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.29/3.92 % (26735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.29/3.92 % (26735)Termination reason: Unknown
% 28.29/3.92 % (26735)Termination phase: Saturation
% 28.29/3.92
% 28.29/3.92 % (26735)Memory used [KB]: 12281
% 28.29/3.92 % (26735)Time elapsed: 1.878 s
% 28.29/3.92 % (26735)Instructions burned: 1006 (million)
% 28.29/3.92 % (26735)------------------------------
% 28.29/3.92 % (26735)------------------------------
% 28.87/4.06 % (26730)Instruction limit reached!
% 28.87/4.06 % (26730)------------------------------
% 28.87/4.06 % (26730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.87/4.06 % (26730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.87/4.06 % (26730)Termination reason: Unknown
% 28.87/4.06 % (26730)Termination phase: Saturation
% 28.87/4.06
% 28.87/4.06 % (26730)Memory used [KB]: 7164
% 28.87/4.06 % (26730)Time elapsed: 2.023 s
% 28.87/4.06 % (26730)Instructions burned: 1199 (million)
% 28.87/4.06 % (26730)------------------------------
% 28.87/4.06 % (26730)------------------------------
% 29.52/4.09 % (26759)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/31695Mi)
% 29.52/4.11 % (26760)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/7145Mi)
% 30.74/4.25 % (26761)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/48352Mi)
% 32.24/4.44 % (26711)Instruction limit reached!
% 32.24/4.44 % (26711)------------------------------
% 32.24/4.44 % (26711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.24/4.44 % (26711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.24/4.44 % (26711)Termination reason: Unknown
% 32.24/4.44 % (26711)Termination phase: Saturation
% 32.24/4.44
% 32.24/4.44 % (26711)Memory used [KB]: 20724
% 32.24/4.44 % (26711)Time elapsed: 3.347 s
% 32.24/4.44 % (26711)Instructions burned: 1683 (million)
% 32.24/4.44 % (26711)------------------------------
% 32.24/4.44 % (26711)------------------------------
% 32.24/4.44 % (26721)Refutation not found, non-redundant clauses discarded% (26721)------------------------------
% 32.24/4.44 % (26721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.24/4.44 % (26721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.24/4.44 % (26721)Termination reason: Refutation not found, non-redundant clauses discarded
% 32.24/4.44
% 32.24/4.44 % (26721)Memory used [KB]: 7803
% 32.24/4.44 % (26721)Time elapsed: 2.865 s
% 32.24/4.44 % (26721)Instructions burned: 1290 (million)
% 32.24/4.44 % (26721)------------------------------
% 32.24/4.44 % (26721)------------------------------
% 33.44/4.58 % (26762)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/48076Mi)
% 33.44/4.64 % (26747)Instruction limit reached!
% 33.44/4.64 % (26747)------------------------------
% 33.44/4.64 % (26747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.44/4.64 % (26747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.44/4.64 % (26747)Termination reason: Unknown
% 33.44/4.64 % (26747)Termination phase: Saturation
% 33.44/4.64
% 33.44/4.64 % (26747)Memory used [KB]: 12920
% 33.44/4.64 % (26747)Time elapsed: 1.920 s
% 33.44/4.64 % (26747)Instructions burned: 947 (million)
% 33.44/4.64 % (26747)------------------------------
% 33.44/4.64 % (26747)------------------------------
% 34.43/4.69 % (26763)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/24952Mi)
% 35.24/4.83 % (26709)Instruction limit reached!
% 35.24/4.83 % (26709)------------------------------
% 35.24/4.83 % (26709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.24/4.84 % (26709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.24/4.84 % (26709)Termination reason: Unknown
% 35.24/4.84 % (26709)Termination phase: Saturation
% 35.24/4.84
% 35.24/4.84 % (26709)Memory used [KB]: 21620
% 35.24/4.84 % (26709)Time elapsed: 3.768 s
% 35.24/4.84 % (26709)Instructions burned: 1706 (million)
% 35.24/4.84 % (26709)------------------------------
% 35.24/4.84 % (26709)------------------------------
% 36.12/4.90 % (26766)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/17722Mi)
% 36.12/4.90 % (26734)Instruction limit reached!
% 36.12/4.90 % (26734)------------------------------
% 36.12/4.90 % (26734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.12/4.91 % (26734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.12/4.91 % (26734)Termination reason: Unknown
% 36.12/4.91 % (26734)Termination phase: Saturation
% 36.12/4.91
% 36.12/4.91 % (26734)Memory used [KB]: 8187
% 36.12/4.91 % (26734)Time elapsed: 2.878 s
% 36.12/4.91 % (26734)Instructions burned: 1168 (million)
% 36.12/4.91 % (26734)------------------------------
% 36.12/4.91 % (26734)------------------------------
% 37.12/5.06 % (26768)lrs+35_1:1_aac=none:abs=on:amm=off:norm_ineq=on:s2a=on:s2at=3.0:tha=off:i=25691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/25691Mi)
% 37.50/5.14 % (26769)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/1742Mi)
% 41.24/5.53 % (26745)First to succeed.
% 41.59/5.64 % (26745)Refutation found. Thanks to Tanya!
% 41.59/5.64 % SZS status Theorem for theBenchmark
% 41.59/5.64 % SZS output start Proof for theBenchmark
% See solution above
% 42.17/5.65 % (26745)------------------------------
% 42.17/5.65 % (26745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.17/5.65 % (26745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.17/5.65 % (26745)Termination reason: Refutation
% 42.17/5.65
% 42.17/5.65 % (26745)Memory used [KB]: 6524
% 42.17/5.65 % (26745)Time elapsed: 2.826 s
% 42.17/5.65 % (26745)Instructions burned: 1203 (million)
% 42.17/5.65 % (26745)------------------------------
% 42.17/5.65 % (26745)------------------------------
% 42.17/5.65 % (26643)Success in time 5.323 s
%------------------------------------------------------------------------------