TSTP Solution File: SWW601_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW601_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 : n009.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 19:08:40 EDT 2022
% Result : Theorem 158.82s 20.33s
% Output : Refutation 158.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 788
% Syntax : Number of formulae : 3579 ( 264 unt; 51 typ; 0 def)
% Number of atoms : 10415 (1465 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 11302 (4415 ~;5796 |; 189 &)
% ( 677 <=>; 225 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 18217 (1828 atm;4576 fun;9157 num;2656 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 65 ( 36 >; 29 *; 0 +; 0 <<)
% Number of predicates : 655 ( 651 usr; 644 prp; 0-2 aty)
% Number of functors : 50 ( 38 usr; 16 con; 0-4 aty)
% Number of variables : 2656 (2618 !; 38 ?;2656 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
lpintcm_intrp: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs1: $int > $int ).
tff(func_def_14,type,
div2: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod2: ( $int * $int ) > $int ).
tff(func_def_18,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_19,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_20,type,
tuple2_proj_11: ( ty * ty * uni ) > uni ).
tff(func_def_21,type,
tuple2_proj_21: ( ty * ty * uni ) > uni ).
tff(func_def_22,type,
t2tb: lpintcm_intrp > uni ).
tff(func_def_23,type,
tb2t: uni > lpintcm_intrp ).
tff(func_def_24,type,
t2tb1: $int > uni ).
tff(func_def_25,type,
tb2t1: uni > $int ).
tff(func_def_30,type,
gcd1: ( $int * $int ) > $int ).
tff(func_def_32,type,
sK0: ( $int * $int * $int ) > $int ).
tff(func_def_33,type,
sK1: $int > $int ).
tff(func_def_34,type,
sK2: ( $int * $int ) > $int ).
tff(func_def_35,type,
sK3: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_36,type,
sK4: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_37,type,
sK5: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_38,type,
sK6: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_39,type,
sK7: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_40,type,
sK8: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_41,type,
sK9: ( lpintcm_intrp * lpintcm_intrp ) > $int ).
tff(func_def_42,type,
sK10: $int > $int ).
tff(func_def_43,type,
sK11: $int ).
tff(func_def_44,type,
sK12: $int ).
tff(func_def_45,type,
sK13: $int > $int ).
tff(func_def_46,type,
sK14: $int > $int ).
tff(func_def_47,type,
sK15: $int > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_4,type,
lt_nat1: ( $int * $int ) > $o ).
tff(pred_def_5,type,
lex1: ( lpintcm_intrp * lpintcm_intrp ) > $o ).
tff(pred_def_6,type,
even1: $int > $o ).
tff(pred_def_7,type,
odd1: $int > $o ).
tff(pred_def_8,type,
divides1: ( $int * $int ) > $o ).
tff(pred_def_9,type,
coprime1: ( $int * $int ) > $o ).
tff(pred_def_10,type,
prime1: $int > $o ).
tff(f61015,plain,
$false,
inference(avatar_smt_refutation,[],[f613,f617,f621,f625,f632,f636,f640,f652,f656,f665,f669,f709,f713,f889,f905,f924,f928,f944,f997,f1006,f1037,f1115,f1141,f1146,f1180,f1237,f1281,f1313,f1353,f1750,f1797,f1829,f1848,f1850,f1852,f1896,f1928,f1934,f1936,f1944,f2032,f2037,f2043,f2047,f2259,f2294,f2331,f2338,f2345,f2352,f2353,f2357,f2411,f2415,f2419,f2422,f2424,f2429,f2431,f2435,f2440,f2445,f2447,f2449,f2611,f2677,f2683,f2684,f2689,f2793,f2890,f2914,f2918,f2923,f3174,f3223,f3227,f3273,f3277,f3358,f3360,f3362,f3364,f3366,f3835,f3836,f4048,f4052,f4439,f4499,f4526,f4698,f5041,f5046,f5051,f5056,f5062,f5160,f5161,f5211,f5215,f5219,f5249,f5291,f5294,f5297,f5300,f6111,f6118,f6120,f6127,f6131,f6138,f6145,f6379,f6383,f6394,f6398,f6399,f6400,f6401,f6429,f6562,f6569,f6571,f6573,f6666,f6673,f7166,f7170,f7174,f7178,f7179,f7253,f7261,f7303,f7308,f7501,f7507,f7510,f7517,f7519,f7523,f7526,f7530,f7532,f7535,f7537,f7539,f7544,f7554,f7557,f7559,f7562,f7564,f7569,f7572,f7574,f7576,f7578,f7581,f7585,f7587,f7589,f7591,f7760,f7787,f7788,f7789,f7790,f7791,f7793,f7794,f7795,f7796,f7799,f7800,f7803,f7804,f7959,f8068,f8070,f8071,f8073,f8077,f8080,f8081,f8082,f8087,f8291,f8454,f8460,f8517,f8521,f8525,f8548,f8563,f8608,f8616,f8624,f8629,f8634,f8639,f8644,f8649,f8657,f8662,f8667,f8672,f8674,f8676,f8681,f8686,f9414,f9415,f9416,f10060,f10068,f10076,f10080,f10082,f10126,f10130,f10133,f10139,f10150,f10154,f10156,f10159,f10161,f10165,f10167,f10171,f10175,f10177,f10322,f10330,f10334,f10336,f11110,f11111,f11199,f11203,f11211,f11215,f11222,f11226,f11230,f11235,f11249,f11259,f11263,f11267,f11274,f11302,f11306,f11310,f11340,f11341,f11342,f11343,f11344,f11346,f11348,f11380,f11405,f11413,f11464,f11563,f11610,f11622,f11705,f11828,f11832,f11836,f11843,f11904,f11908,f11912,f11916,f11942,f12064,f12068,f12072,f12079,f12083,f12088,f12239,f12243,f12432,f12447,f12451,f12537,f13106,f13580,f13582,f13821,f13822,f14172,f14471,f14609,f14627,f14645,f14681,f14689,f14785,f14794,f14838,f14854,f14964,f15078,f15206,f15368,f15376,f15455,f15813,f15847,f15854,f16929,f17065,f17067,f17070,f17072,f17074,f17075,f17076,f17077,f17079,f17080,f17081,f17083,f17085,f17087,f17088,f17089,f17091,f17092,f17094,f17095,f17193,f17195,f17197,f17316,f17323,f17330,f17331,f17335,f17336,f17570,f17613,f17615,f18189,f18196,f18962,f19091,f19095,f19102,f19110,f19119,f19140,f19145,f19430,f20114,f20526,f20530,f20858,f20862,f20911,f21342,f21345,f21385,f21386,f21391,f21396,f21419,f21458,f21460,f21464,f21471,f21475,f21482,f21483,f21485,f21492,f21493,f22068,f22151,f22153,f22160,f22161,f22165,f22438,f22499,f22501,f22502,f22503,f22504,f22505,f22509,f22510,f22511,f22512,f22518,f22519,f22634,f22635,f22636,f23314,f23322,f23340,f23994,f23995,f23996,f23997,f23998,f23999,f24000,f24002,f24005,f24007,f24038,f24039,f24040,f24041,f24042,f24045,f24046,f24047,f24048,f24123,f24130,f27978,f27981,f29195,f29199,f29207,f29212,f29239,f29244,f29262,f29265,f29269,f29270,f29273,f29275,f29297,f30583,f30587,f30591,f30595,f31175,f31183,f31187,f31191,f31196,f31200,f31204,f31208,f31242,f31244,f31246,f31248,f31250,f31803,f31815,f31820,f31828,f31860,f31865,f31886,f31892,f32019,f33363,f33397,f33404,f33408,f33409,f33463,f33470,f33706,f33713,f36316,f36329,f36333,f36343,f36347,f36783,f36789,f36790,f36843,f36847,f36851,f36855,f36865,f37370,f37921,f37945,f37950,f37957,f37960,f37961,f37962,f38071,f38075,f38079,f38088,f38090,f38342,f38347,f38379,f38383,f38805,f38806,f38810,f39114,f39240,f39247,f39254,f39255,f39256,f40096,f40146,f40169,f40333,f40345,f40386,f40390,f40497,f40679,f40683,f40684,f40685,f40686,f40687,f40688,f40689,f40690,f40691,f40747,f40748,f40755,f40759,f40760,f40764,f40765,f40766,f40767,f40768,f40769,f40770,f40771,f40772,f40773,f41837,f41842,f41846,f42202,f42209,f42214,f42894,f42904,f42912,f42919,f42993,f43165,f43182,f43349,f43364,f43419,f43664,f43689,f43696,f43704,f43711,f43715,f43723,f43725,f43727,f43729,f43763,f43770,f43781,f43785,f43795,f43802,f43809,f43813,f43820,f43821,f43828,f43832,f43833,f43837,f43847,f44116,f45099,f45119,f46183,f46190,f46194,f46198,f46202,f46203,f47270,f48050,f48345,f48359,f48419,f49927,f49959,f50036,f50043,f50050,f50057,f50063,f50070,f50105,f50369,f50387,f50530,f50535,f50539,f52088,f52094,f52104,f52109,f52167,f52171,f52176,f52178,f52456,f52461,f52466,f52470,f53195,f53800,f53871,f53875,f53879,f53883,f53888,f54157,f54161,f54298,f54316,f54353,f54357,f54430,f54434,f54462,f54466,f54470,f54660,f54665,f54670,f55415,f55491,f55716,f55874,f55878,f55937,f55941,f55990,f55994,f55999,f56186,f56217,f56221,f56226,f56520,f56528,f56698,f57003,f57013,f57017,f57044,f57054,f58820,f58996,f59002,f59115,f59125,f59434,f59441,f59446,f59453,f59461,f59467,f59472,f60782,f60786,f60790,f60794,f60798,f60837,f60841,f60848,f60856,f60860,f60868,f60875,f60876,f60880,f60885,f60890,f60894,f60904,f60909,f60924,f60995,f60999,f61008,f61010,f61013,f61014]) ).
tff(f61014,plain,
( ~ spl16_502
| ~ spl16_501
| spl16_491
| spl16_500 ),
inference(avatar_split_clause,[],[f60989,f43811,f43779,f43815,f43818]) ).
tff(f43818,plain,
( spl16_502
<=> divides1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_502])]) ).
tff(f43815,plain,
( spl16_501
<=> ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_501])]) ).
tff(f43779,plain,
( spl16_491
<=> $less($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_491])]) ).
tff(f43811,plain,
( spl16_500
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_500])]) ).
tff(f60989,plain,
( $less($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),0)
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))
| spl16_500 ),
inference(superposition,[],[f43812,f2214]) ).
tff(f2214,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X1,X0) = X0 )
| ~ divides1(X0,X1)
| $less(X0,0) ),
inference(subsumption_resolution,[],[f2211,f566]) ).
tff(f566,plain,
! [X0: $int] : divides1(X0,X0),
inference(cnf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: $int] : divides1(X0,X0),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X14: $int] : divides1(X14,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_refl) ).
tff(f2211,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,X0)
| $less(X0,0)
| ~ divides1(X0,X1)
| ( gcd1(X1,X0) = X0 ) ),
inference(duplicate_literal_removal,[],[f2201]) ).
tff(f2201,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,X0)
| $less(X0,0)
| ~ divides1(X0,X0)
| ( gcd1(X1,X0) = X0 )
| ~ divides1(X0,X1)
| ( gcd1(X1,X0) = X0 )
| $less(X0,0)
| ~ divides1(X0,X1) ),
inference(resolution,[],[f464,f463]) ).
tff(f463,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(sK0(X0,X1,X2),X2)
| ~ divides1(X0,X2)
| ~ divides1(X0,X1)
| ( gcd1(X1,X2) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f377]) ).
tff(f377,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X0,X2)
| ( divides1(sK0(X0,X1,X2),X1)
& ~ divides1(sK0(X0,X1,X2),X0)
& divides1(sK0(X0,X1,X2),X2) )
| $less(X0,0)
| ( gcd1(X1,X2) = X0 )
| ~ divides1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f375,f376]) ).
tff(f376,plain,
! [X0: $int,X1: $int,X2: $int] :
( ? [X3: $int] :
( divides1(X3,X1)
& ~ divides1(X3,X0)
& divides1(X3,X2) )
=> ( divides1(sK0(X0,X1,X2),X1)
& ~ divides1(sK0(X0,X1,X2),X0)
& divides1(sK0(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
tff(f375,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X0,X2)
| ? [X3: $int] :
( divides1(X3,X1)
& ~ divides1(X3,X0)
& divides1(X3,X2) )
| $less(X0,0)
| ( gcd1(X1,X2) = X0 )
| ~ divides1(X0,X1) ),
inference(rectify,[],[f336]) ).
tff(f336,plain,
! [X1: $int,X0: $int,X2: $int] :
( ~ divides1(X1,X2)
| ? [X3: $int] :
( divides1(X3,X0)
& ~ divides1(X3,X1)
& divides1(X3,X2) )
| $less(X1,0)
| ( gcd1(X0,X2) = X1 )
| ~ divides1(X1,X0) ),
inference(flattening,[],[f335]) ).
tff(f335,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( gcd1(X0,X2) = X1 )
| ? [X3: $int] :
( ~ divides1(X3,X1)
& divides1(X3,X2)
& divides1(X3,X0) )
| ~ divides1(X1,X2)
| ~ divides1(X1,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f231]) ).
tff(f231,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,0)
=> ( divides1(X1,X0)
=> ( divides1(X1,X2)
=> ( ! [X3: $int] :
( divides1(X3,X0)
=> ( divides1(X3,X2)
=> divides1(X3,X1) ) )
=> ( gcd1(X0,X2) = X1 ) ) ) ) ),
inference(rectify,[],[f140]) ).
tff(f140,plain,
! [X0: $int,X16: $int,X18: $int] :
( ~ $less(X16,0)
=> ( divides1(X16,X0)
=> ( divides1(X16,X18)
=> ( ! [X1: $int] :
( divides1(X1,X0)
=> ( divides1(X1,X18)
=> divides1(X1,X16) ) )
=> ( gcd1(X0,X18) = X16 ) ) ) ) ),
inference(theory_normalization,[],[f85]) ).
tff(f85,axiom,
! [X0: $int,X16: $int,X18: $int] :
( $lesseq(0,X16)
=> ( divides1(X16,X0)
=> ( divides1(X16,X18)
=> ( ! [X1: $int] :
( divides1(X1,X0)
=> ( divides1(X1,X18)
=> divides1(X1,X16) ) )
=> ( gcd1(X0,X18) = X16 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_unique) ).
tff(f464,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ divides1(sK0(X0,X1,X2),X0)
| $less(X0,0)
| ( gcd1(X1,X2) = X0 )
| ~ divides1(X0,X2)
| ~ divides1(X0,X1) ),
inference(cnf_transformation,[],[f377]) ).
tff(f43812,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) )
| spl16_500 ),
inference(avatar_component_clause,[],[f43811]) ).
tff(f61013,plain,
spl16_500,
inference(avatar_contradiction_clause,[],[f61012]) ).
tff(f61012,plain,
( $false
| spl16_500 ),
inference(subsumption_resolution,[],[f61011,f605]) ).
tff(f605,plain,
! [X3: $int,X1: $int] : divides1(X1,$product(X3,X1)),
inference(equality_resolution,[],[f522]) ).
tff(f522,plain,
! [X3: $int,X0: $int,X1: $int] :
( divides1(X1,X0)
| ( $product(X3,X1) != X0 ) ),
inference(cnf_transformation,[],[f406]) ).
tff(f406,plain,
! [X0: $int,X1: $int] :
( ( ( $product(sK2(X0,X1),X1) = X0 )
| ~ divides1(X1,X0) )
& ( divides1(X1,X0)
| ! [X3: $int] : ( $product(X3,X1) != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f404,f405]) ).
tff(f405,plain,
! [X0: $int,X1: $int] :
( ? [X2: $int] : ( $product(X2,X1) = X0 )
=> ( $product(sK2(X0,X1),X1) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f404,plain,
! [X0: $int,X1: $int] :
( ( ? [X2: $int] : ( $product(X2,X1) = X0 )
| ~ divides1(X1,X0) )
& ( divides1(X1,X0)
| ! [X3: $int] : ( $product(X3,X1) != X0 ) ) ),
inference(rectify,[],[f403]) ).
tff(f403,plain,
! [X1: $int,X0: $int] :
( ( ? [X2: $int] : ( $product(X2,X0) = X1 )
| ~ divides1(X0,X1) )
& ( divides1(X0,X1)
| ! [X2: $int] : ( $product(X2,X0) != X1 ) ) ),
inference(nnf_transformation,[],[f234]) ).
tff(f234,plain,
! [X1: $int,X0: $int] :
( ? [X2: $int] : ( $product(X2,X0) = X1 )
<=> divides1(X0,X1) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X16: $int,X14: $int] :
( ? [X17: $int] : ( $product(X17,X16) = X14 )
<=> divides1(X16,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_def) ).
tff(f61011,plain,
( ~ divides1($sum($product(2,sK12),1),$product(1,$sum($product(2,sK12),1)))
| spl16_500 ),
inference(subsumption_resolution,[],[f60975,f520]) ).
tff(f520,plain,
! [X0: $int,X1: $int] : ( gcd1(X0,X1) = gcd1(X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: $int,X1: $int] : ( gcd1(X0,X1) = gcd1(X1,X0) ),
inference(rectify,[],[f87]) ).
tff(f87,axiom,
! [X7: $int,X1: $int] : ( gcd1(X1,X7) = gcd1(X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comm2) ).
tff(f60975,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($product(2,sK11),1)) )
| ~ divides1($sum($product(2,sK12),1),$product(1,$sum($product(2,sK12),1)))
| spl16_500 ),
inference(superposition,[],[f43812,f1531]) ).
tff(f1531,plain,
! [X6: $int,X4: $int,X5: $int] :
( ( gcd1(X5,$sum(X6,$uminus(X4))) = gcd1(X5,X6) )
| ~ divides1(X5,X4) ),
inference(superposition,[],[f540,f523]) ).
tff(f523,plain,
! [X0: $int,X1: $int] :
( ( $product(sK2(X0,X1),X1) = X0 )
| ~ divides1(X1,X0) ),
inference(cnf_transformation,[],[f406]) ).
tff(f540,plain,
! [X2: $int,X0: $int,X1: $int] : ( gcd1(X0,$sum(X1,$uminus($product(X2,X0)))) = gcd1(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
tff(f414,plain,
! [X0: $int,X1: $int,X2: $int] : ( gcd1(X0,$sum(X1,$uminus($product(X2,X0)))) = gcd1(X0,X1) ),
inference(rectify,[],[f244]) ).
tff(f244,plain,
! [X0: $int,X2: $int,X1: $int] : ( gcd1(X0,$sum(X2,$uminus($product(X1,X0)))) = gcd1(X0,X2) ),
inference(rectify,[],[f147]) ).
tff(f147,plain,
! [X0: $int,X17: $int,X18: $int] : ( gcd1(X0,X18) = gcd1(X0,$sum(X18,$uminus($product(X17,X0)))) ),
inference(theory_normalization,[],[f91]) ).
tff(f91,axiom,
! [X0: $int,X17: $int,X18: $int] : ( gcd1(X0,X18) = gcd1(X0,$difference(X18,$product(X17,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_euclid) ).
tff(f61010,plain,
spl16_500,
inference(avatar_contradiction_clause,[],[f61009]) ).
tff(f61009,plain,
( $false
| spl16_500 ),
inference(subsumption_resolution,[],[f60974,f520]) ).
tff(f60974,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($product(2,sK11),1)) )
| spl16_500 ),
inference(superposition,[],[f43812,f540]) ).
tff(f61008,plain,
( spl16_507
| spl16_642
| spl16_643
| spl16_500 ),
inference(avatar_split_clause,[],[f61001,f43811,f61006,f61003,f43839]) ).
tff(f43839,plain,
( spl16_507
<=> ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_507])]) ).
tff(f61003,plain,
( spl16_642
<=> ! [X0: $int] :
( ~ prime1($product(X0,$sum($product(2,sK12),1)))
| ( $uminus($product(1,$sum($product(2,sK12),1))) = $product(X0,$sum($product(2,sK12),1)) )
| ~ divides1($uminus($product(1,$sum($product(2,sK12),1))),$product(X0,$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_642])]) ).
tff(f61006,plain,
( spl16_643
<=> ( 1 = $uminus($product(1,$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_643])]) ).
tff(f61001,plain,
( ! [X0: $int] :
( ( 1 = $uminus($product(1,$sum($product(2,sK12),1))) )
| ~ prime1($product(X0,$sum($product(2,sK12),1)))
| ~ divides1($uminus($product(1,$sum($product(2,sK12),1))),$product(X0,$sum($product(2,sK12),1)))
| ( $uminus($product(1,$sum($product(2,sK12),1))) = $product(X0,$sum($product(2,sK12),1)) )
| ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 ) )
| spl16_500 ),
inference(subsumption_resolution,[],[f60976,f520]) ).
tff(f60976,plain,
( ! [X0: $int] :
( ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 )
| ( 1 = $uminus($product(1,$sum($product(2,sK12),1))) )
| ( $uminus($product(1,$sum($product(2,sK12),1))) = $product(X0,$sum($product(2,sK12),1)) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($product(2,sK11),1)) )
| ~ prime1($product(X0,$sum($product(2,sK12),1)))
| ~ divides1($uminus($product(1,$sum($product(2,sK12),1))),$product(X0,$sum($product(2,sK12),1))) )
| spl16_500 ),
inference(superposition,[],[f43812,f2004]) ).
tff(f2004,plain,
! [X72: $int,X70: $int,X71: $int,X69: $int] :
( ( gcd1(X70,$sum(X72,X71)) = gcd1(X70,X72) )
| ~ divides1(X71,$product(X69,X70))
| ~ prime1($product(X69,X70))
| ( -1 = X71 )
| ( 1 = X71 )
| ( $product(X69,X70) = X71 ) ),
inference(superposition,[],[f540,f608]) ).
tff(f608,plain,
! [X0: $int,X1: $int] :
( ( $uminus(X0) = X1 )
| ( X0 = X1 )
| ~ prime1(X0)
| ~ divides1(X1,X0)
| ( 1 = X1 )
| ( -1 = X1 ) ),
inference(evaluation,[],[f560]) ).
tff(f560,plain,
! [X0: $int,X1: $int] :
( ~ prime1(X0)
| ( X0 = X1 )
| ~ divides1(X1,X0)
| ( 1 = X1 )
| ( $uminus(X0) = X1 )
| ( $uminus(1) = X1 ) ),
inference(cnf_transformation,[],[f359]) ).
tff(f359,plain,
! [X0: $int] :
( ~ prime1(X0)
| ! [X1: $int] :
( ~ divides1(X1,X0)
| ( X0 = X1 )
| ( $uminus(1) = X1 )
| ( $uminus(X0) = X1 )
| ( 1 = X1 ) ) ),
inference(flattening,[],[f358]) ).
tff(f358,plain,
! [X0: $int] :
( ! [X1: $int] :
( ( X0 = X1 )
| ( $uminus(X0) = X1 )
| ( 1 = X1 )
| ( $uminus(1) = X1 )
| ~ divides1(X1,X0) )
| ~ prime1(X0) ),
inference(ennf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0: $int] :
( prime1(X0)
=> ! [X1: $int] :
( divides1(X1,X0)
=> ( ( X0 = X1 )
| ( $uminus(X0) = X1 )
| ( 1 = X1 )
| ( $uminus(1) = X1 ) ) ) ),
inference(rectify,[],[f103]) ).
tff(f103,axiom,
! [X20: $int] :
( prime1(X20)
=> ! [X16: $int] :
( divides1(X16,X20)
=> ( ( $uminus(1) = X16 )
| ( X16 = X20 )
| ( $uminus(X20) = X16 )
| ( 1 = X16 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_divisors) ).
tff(f60999,plain,
( ~ spl16_508
| spl16_507
| ~ spl16_641
| spl16_500 ),
inference(avatar_split_clause,[],[f60991,f43811,f60997,f43839,f43842]) ).
tff(f43842,plain,
( spl16_508
<=> divides1($product(1,$sum($product(2,sK12),1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_508])]) ).
tff(f60997,plain,
( spl16_641
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$sum(2,$product(2,sK11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_641])]) ).
tff(f60991,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum(2,$product(2,sK11))) )
| ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 )
| ~ divides1($product(1,$sum($product(2,sK12),1)),1)
| spl16_500 ),
inference(evaluation,[],[f60968]) ).
tff(f60968,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),1)) )
| ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 )
| ~ divides1($product(1,$sum($product(2,sK12),1)),1)
| spl16_500 ),
inference(superposition,[],[f43812,f910]) ).
tff(f910,plain,
! [X0: $int] :
( ( 1 = $uminus(X0) )
| ( $uminus(X0) = -1 )
| ~ divides1(X0,1) ),
inference(resolution,[],[f609,f454]) ).
tff(f454,plain,
! [X0: $int,X1: $int] :
( divides1($uminus(X0),X1)
| ~ divides1(X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
tff(f367,plain,
! [X0: $int,X1: $int] :
( divides1($uminus(X0),X1)
| ~ divides1(X0,X1) ),
inference(rectify,[],[f318]) ).
tff(f318,plain,
! [X1: $int,X0: $int] :
( divides1($uminus(X1),X0)
| ~ divides1(X1,X0) ),
inference(ennf_transformation,[],[f250]) ).
tff(f250,plain,
! [X0: $int,X1: $int] :
( divides1(X1,X0)
=> divides1($uminus(X1),X0) ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X18: $int,X0: $int] :
( divides1(X0,X18)
=> divides1($uminus(X0),X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_oppl) ).
tff(f609,plain,
! [X0: $int] :
( ~ divides1(X0,1)
| ( -1 = X0 )
| ( 1 = X0 ) ),
inference(evaluation,[],[f521]) ).
tff(f521,plain,
! [X0: $int] :
( ( 1 = X0 )
| ~ divides1(X0,1)
| ( $uminus(1) = X0 ) ),
inference(cnf_transformation,[],[f260]) ).
tff(f260,plain,
! [X0: $int] :
( ( $uminus(1) = X0 )
| ( 1 = X0 )
| ~ divides1(X0,1) ),
inference(flattening,[],[f259]) ).
tff(f259,plain,
! [X0: $int] :
( ( $uminus(1) = X0 )
| ( 1 = X0 )
| ~ divides1(X0,1) ),
inference(ennf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: $int] :
( divides1(X0,1)
=> ( ( $uminus(1) = X0 )
| ( 1 = X0 ) ) ),
inference(rectify,[],[f69]) ).
tff(f69,axiom,
! [X14: $int] :
( divides1(X14,1)
=> ( ( $uminus(1) = X14 )
| ( 1 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_n_1) ).
tff(f60995,plain,
( ~ spl16_640
| spl16_496
| spl16_500 ),
inference(avatar_split_clause,[],[f60969,f43811,f43797,f60993]) ).
tff(f60993,plain,
( spl16_640
<=> ( gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),gcd1($product(1,$sum($product(2,sK12),1)),0))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_640])]) ).
tff(f43797,plain,
( spl16_496
<=> $less($uminus($product(1,$sum($product(2,sK12),1))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_496])]) ).
tff(f60969,plain,
( $less($uminus($product(1,$sum($product(2,sK12),1))),0)
| ( gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),gcd1($product(1,$sum($product(2,sK12),1)),0))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_500 ),
inference(superposition,[],[f43812,f786]) ).
tff(f786,plain,
! [X7: $int] :
( ( $uminus(X7) = gcd1(X7,0) )
| $less($uminus(X7),0) ),
inference(superposition,[],[f473,f565]) ).
tff(f565,plain,
! [X0: $int] :
( ( gcd1(X0,0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f258]) ).
tff(f258,plain,
! [X0: $int] :
( $less(X0,0)
| ( gcd1(X0,0) = X0 ) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: $int] :
( ~ $less(X0,0)
=> ( gcd1(X0,0) = X0 ) ),
inference(theory_normalization,[],[f88]) ).
tff(f88,axiom,
! [X0: $int] :
( $lesseq(0,X0)
=> ( gcd1(X0,0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_0_pos) ).
tff(f473,plain,
! [X0: $int,X1: $int] : ( gcd1(X1,X0) = gcd1($uminus(X1),X0) ),
inference(cnf_transformation,[],[f381]) ).
tff(f381,plain,
! [X0: $int,X1: $int] : ( gcd1(X1,X0) = gcd1($uminus(X1),X0) ),
inference(rectify,[],[f198]) ).
tff(f198,plain,
! [X1: $int,X0: $int] : ( gcd1(X0,X1) = gcd1($uminus(X0),X1) ),
inference(rectify,[],[f90]) ).
tff(f90,axiom,
! [X0: $int,X18: $int] : ( gcd1(X0,X18) = gcd1($uminus(X0),X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_opp) ).
tff(f60924,plain,
( spl16_639
| ~ spl16_615 ),
inference(avatar_split_clause,[],[f60915,f60784,f60922]) ).
tff(f60922,plain,
( spl16_639
<=> divides1(-2,abs1(-2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_639])]) ).
tff(f60784,plain,
( spl16_615
<=> even1($uminus(abs1(-2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_615])]) ).
tff(f60915,plain,
( divides1(-2,abs1(-2))
| ~ spl16_615 ),
inference(resolution,[],[f60785,f2759]) ).
tff(f2759,plain,
! [X10: $int] :
( ~ even1($uminus(X10))
| divides1(-2,X10) ),
inference(evaluation,[],[f2737]) ).
tff(f2737,plain,
! [X10: $int] :
( ~ even1($uminus(X10))
| divides1($uminus(2),X10) ),
inference(resolution,[],[f717,f519]) ).
tff(f519,plain,
! [X0: $int] :
( divides1(2,X0)
| ~ even1(X0) ),
inference(cnf_transformation,[],[f402]) ).
tff(f402,plain,
! [X0: $int] :
( ( divides1(2,X0)
| ~ even1(X0) )
& ( even1(X0)
| ~ divides1(2,X0) ) ),
inference(nnf_transformation,[],[f79]) ).
tff(f79,axiom,
! [X0: $int] :
( divides1(2,X0)
<=> even1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_divides) ).
tff(f717,plain,
! [X4: $int,X5: $int] :
( ~ divides1(X4,$uminus(X5))
| divides1($uminus(X4),X5) ),
inference(resolution,[],[f567,f454]) ).
tff(f567,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X1,$uminus(X0))
| divides1(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
tff(f312,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X1,$uminus(X0))
| divides1(X1,X0) ),
inference(ennf_transformation,[],[f193]) ).
tff(f193,plain,
! [X1: $int,X0: $int] :
( divides1(X1,$uminus(X0))
=> divides1(X1,X0) ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X18: $int,X0: $int] :
( divides1(X0,$uminus(X18))
=> divides1(X0,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_oppl_rev) ).
tff(f60785,plain,
( even1($uminus(abs1(-2)))
| ~ spl16_615 ),
inference(avatar_component_clause,[],[f60784]) ).
tff(f60909,plain,
( ~ spl16_627
| spl16_148
| spl16_52
| spl16_624
| ~ spl16_638
| spl16_488 ),
inference(avatar_split_clause,[],[f60905,f43768,f60907,f60851,f2333,f7755,f60863]) ).
tff(f60863,plain,
( spl16_627
<=> even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_627])]) ).
tff(f7755,plain,
( spl16_148
<=> $less($sum($product(2,sK12),1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_148])]) ).
tff(f2333,plain,
( spl16_52
<=> ( 0 = $sum($product(2,sK12),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
tff(f60851,plain,
( spl16_624
<=> $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_624])]) ).
tff(f60907,plain,
( spl16_638
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),mod2(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_638])]) ).
tff(f43768,plain,
( spl16_488
<=> ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_488])]) ).
tff(f60905,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) )
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| ( 0 = $sum($product(2,sK12),1) )
| $less($sum($product(2,sK12),1),0)
| ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| spl16_488 ),
inference(subsumption_resolution,[],[f60823,f492]) ).
tff(f492,plain,
! [X0: $int] : odd1($sum($product(2,X0),1)),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: $int] : odd1($sum($product(2,X0),1)),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X15: $int] : odd1($sum($product(2,X15),1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_2k1) ).
tff(f60823,plain,
( ~ odd1($sum($product(2,sK12),1))
| $less($sum($product(2,sK12),1),0)
| ( 0 = $sum($product(2,sK12),1) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) )
| ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| spl16_488 ),
inference(superposition,[],[f43769,f2074]) ).
tff(f2074,plain,
! [X2: $int,X3: $int] :
( ( gcd1(X2,X3) = gcd1(X3,mod2(div2(X2,2),X3)) )
| ( 0 = X3 )
| $less(X3,0)
| $less(X2,0)
| ~ odd1(X3)
| ~ even1(X2) ),
inference(superposition,[],[f503,f545]) ).
tff(f545,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,mod2(X1,X0)) = gcd1(X1,X0) )
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ( gcd1(X0,mod2(X1,X0)) = gcd1(X1,X0) ) ),
inference(ennf_transformation,[],[f255]) ).
tff(f255,plain,
! [X1: $int,X0: $int] :
( ( 0 != X0 )
=> ( gcd1(X0,mod2(X1,X0)) = gcd1(X1,X0) ) ),
inference(rectify,[],[f92]) ).
tff(f92,axiom,
! [X18: $int,X0: $int] :
( ( 0 != X18 )
=> ( gcd1(X0,X18) = gcd1(X18,mod2(X0,X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_computer_mod) ).
tff(f503,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X1,X0) = gcd1(div2(X1,2),X0) )
| $less(X0,0)
| $less(X1,0)
| ~ even1(X1)
| ~ odd1(X0) ),
inference(cnf_transformation,[],[f284]) ).
tff(f284,plain,
! [X0: $int,X1: $int] :
( ~ odd1(X0)
| $less(X0,0)
| ~ even1(X1)
| $less(X1,0)
| ( gcd1(X1,X0) = gcd1(div2(X1,2),X0) ) ),
inference(flattening,[],[f283]) ).
tff(f283,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X1,X0) = gcd1(div2(X1,2),X0) )
| ~ odd1(X0)
| ~ even1(X1)
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f212]) ).
tff(f212,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( even1(X1)
=> ( odd1(X0)
=> ( gcd1(X1,X0) = gcd1(div2(X1,2),X0) ) ) ) ) ),
inference(rectify,[],[f132]) ).
tff(f132,plain,
! [X21: $int,X6: $int] :
( ~ $less(X21,0)
=> ( ~ $less(X6,0)
=> ( even1(X6)
=> ( odd1(X21)
=> ( gcd1(X6,X21) = gcd1(div2(X6,2),X21) ) ) ) ) ),
inference(theory_normalization,[],[f113]) ).
tff(f113,axiom,
! [X21: $int,X6: $int] :
( $lesseq(0,X21)
=> ( $lesseq(0,X6)
=> ( even1(X6)
=> ( odd1(X21)
=> ( gcd1(X6,X21) = gcd1(div2(X6,2),X21) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_even_odd2) ).
tff(f43769,plain,
( ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_488 ),
inference(avatar_component_clause,[],[f43768]) ).
tff(f60904,plain,
( spl16_635
| spl16_636
| spl16_637
| spl16_488 ),
inference(avatar_split_clause,[],[f60822,f43768,f60902,f60899,f60896]) ).
tff(f60896,plain,
( spl16_635
<=> ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_635])]) ).
tff(f60899,plain,
( spl16_636
<=> ! [X10: $int] :
( ( gcd1(X10,$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),X10)
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = X10 )
| ~ prime1(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_636])]) ).
tff(f60902,plain,
( spl16_637
<=> ( 1 = $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_637])]) ).
tff(f60822,plain,
( ! [X10: $int] :
( ( 1 = $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) )
| ( gcd1(X10,$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ prime1(X10)
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = X10 )
| ~ divides1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),X10)
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = -1 ) )
| spl16_488 ),
inference(superposition,[],[f43769,f1978]) ).
tff(f1978,plain,
! [X3: $int,X4: $int,X5: $int] :
( ( gcd1(X3,X5) = gcd1(X4,X5) )
| ( -1 = X4 )
| ~ prime1(X3)
| ( 1 = X4 )
| ~ divides1(X4,X3)
| ( X3 = X4 ) ),
inference(superposition,[],[f473,f608]) ).
tff(f60894,plain,
( ~ spl16_487
| spl16_634
| spl16_488 ),
inference(avatar_split_clause,[],[f60800,f43768,f60892,f43765]) ).
tff(f43765,plain,
( spl16_487
<=> $less($product(1,$sum($product(2,sK12),1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_487])]) ).
tff(f60892,plain,
( spl16_634
<=> ! [X1: $int] :
( ( $product(1,$sum($product(2,sK12),1)) = X1 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),X1),$sum($product(2,sK12),1)) )
| ~ divides1(X1,$product(1,$sum($product(2,sK12),1)))
| ~ divides1($product(1,$sum($product(2,sK12),1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_634])]) ).
tff(f60800,plain,
( ! [X1: $int] :
( ( $product(1,$sum($product(2,sK12),1)) = X1 )
| ~ divides1($product(1,$sum($product(2,sK12),1)),X1)
| ~ divides1(X1,$product(1,$sum($product(2,sK12),1)))
| ~ $less($product(1,$sum($product(2,sK12),1)),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),X1),$sum($product(2,sK12),1)) ) )
| spl16_488 ),
inference(superposition,[],[f43769,f1676]) ).
tff(f1676,plain,
! [X6: $int,X5: $int] :
( ( abs1(X5) = X6 )
| ~ divides1(X6,X5)
| ( X5 = X6 )
| ~ $less(X5,0)
| ~ divides1(X5,X6) ),
inference(superposition,[],[f510,f584]) ).
tff(f584,plain,
! [X0: $int] :
( ( $uminus(X0) = abs1(X0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f261]) ).
tff(f261,plain,
! [X0: $int] :
( ( ( abs1(X0) = X0 )
| $less(X0,0) )
& ( ~ $less(X0,0)
| ( $uminus(X0) = abs1(X0) ) ) ),
inference(ennf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) )
& ( $less(X0,0)
=> ( $uminus(X0) = abs1(X0) ) ) ),
inference(rectify,[],[f117]) ).
tff(f117,plain,
! [X1: $int] :
( ( ~ $less(X1,0)
=> ( abs1(X1) = X1 ) )
& ( $less(X1,0)
=> ( abs1(X1) = $uminus(X1) ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,axiom,
! [X1: $int] :
( ( $lesseq(0,X1)
=> ( abs1(X1) = X1 ) )
& ( ~ $lesseq(0,X1)
=> ( abs1(X1) = $uminus(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def) ).
tff(f510,plain,
! [X0: $int,X1: $int] :
( ( $uminus(X0) = X1 )
| ~ divides1(X0,X1)
| ( X0 = X1 )
| ~ divides1(X1,X0) ),
inference(cnf_transformation,[],[f329]) ).
tff(f329,plain,
! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ~ divides1(X1,X0)
| ~ divides1(X0,X1)
| ( $uminus(X0) = X1 ) ),
inference(flattening,[],[f328]) ).
tff(f328,plain,
! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( $uminus(X0) = X1 )
| ~ divides1(X0,X1)
| ~ divides1(X1,X0) ),
inference(ennf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: $int,X1: $int] :
( divides1(X1,X0)
=> ( divides1(X0,X1)
=> ( ( X0 = X1 )
| ( $uminus(X0) = X1 ) ) ) ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X18: $int,X0: $int] :
( divides1(X0,X18)
=> ( divides1(X18,X0)
=> ( ( $uminus(X18) = X0 )
| ( X0 = X18 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_antisym) ).
tff(f60890,plain,
( ~ spl16_627
| spl16_624
| ~ spl16_633
| spl16_148
| spl16_488 ),
inference(avatar_split_clause,[],[f60886,f43768,f7755,f60888,f60851,f60863]) ).
tff(f60888,plain,
( spl16_633
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_633])]) ).
tff(f60886,plain,
( $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2)) )
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| spl16_488 ),
inference(subsumption_resolution,[],[f60824,f492]) ).
tff(f60824,plain,
( ~ odd1($sum($product(2,sK12),1))
| ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2)) )
| spl16_488 ),
inference(superposition,[],[f43769,f2077]) ).
tff(f2077,plain,
! [X8: $int,X9: $int] :
( ( gcd1(X8,X9) = gcd1(X9,div2(X8,2)) )
| $less(X9,0)
| ~ odd1(X9)
| $less(X8,0)
| ~ even1(X8) ),
inference(superposition,[],[f503,f520]) ).
tff(f60885,plain,
( ~ spl16_632
| spl16_487
| spl16_488 ),
inference(avatar_split_clause,[],[f60801,f43768,f43765,f60882]) ).
tff(f60882,plain,
( spl16_632
<=> ( gcd1($sum($sum($product(2,sK11),1),$product(1,$sum($product(2,sK12),1))),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_632])]) ).
tff(f60801,plain,
( $less($product(1,$sum($product(2,sK12),1)),0)
| ( gcd1($sum($sum($product(2,sK11),1),$product(1,$sum($product(2,sK12),1))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_488 ),
inference(superposition,[],[f43769,f585]) ).
tff(f585,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f261]) ).
tff(f60880,plain,
( ~ spl16_631
| spl16_52
| spl16_488 ),
inference(avatar_split_clause,[],[f60809,f43768,f2333,f60878]) ).
tff(f60878,plain,
( spl16_631
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),mod2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_631])]) ).
tff(f60809,plain,
( ( 0 = $sum($product(2,sK12),1) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) )
| spl16_488 ),
inference(superposition,[],[f43769,f545]) ).
tff(f60876,plain,
( ~ spl16_626
| spl16_488 ),
inference(avatar_split_clause,[],[f60807,f43768,f60858]) ).
tff(f60858,plain,
( spl16_626
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_626])]) ).
tff(f60807,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| spl16_488 ),
inference(superposition,[],[f43769,f520]) ).
tff(f60875,plain,
( spl16_624
| ~ spl16_629
| ~ spl16_630
| spl16_488 ),
inference(avatar_split_clause,[],[f60829,f43768,f60873,f60870,f60851]) ).
tff(f60870,plain,
( spl16_629
<=> ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_629])]) ).
tff(f60873,plain,
( spl16_630
<=> divides1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_630])]) ).
tff(f60829,plain,
( ~ divides1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| spl16_488 ),
inference(superposition,[],[f43769,f2223]) ).
tff(f2223,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,X1) = X0 )
| ~ divides1(X0,X1)
| $less(X0,0) ),
inference(subsumption_resolution,[],[f2222,f566]) ).
tff(f2222,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,X1)
| $less(X0,0)
| ~ divides1(X0,X0)
| ( gcd1(X0,X1) = X0 ) ),
inference(duplicate_literal_removal,[],[f2215]) ).
tff(f2215,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,X1) = X0 )
| $less(X0,0)
| ~ divides1(X0,X0)
| $less(X0,0)
| ~ divides1(X0,X1)
| ~ divides1(X0,X1)
| ( gcd1(X0,X1) = X0 )
| ~ divides1(X0,X0) ),
inference(resolution,[],[f465,f464]) ).
tff(f465,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(sK0(X0,X1,X2),X1)
| $less(X0,0)
| ( gcd1(X1,X2) = X0 )
| ~ divides1(X0,X1)
| ~ divides1(X0,X2) ),
inference(cnf_transformation,[],[f377]) ).
tff(f60868,plain,
( spl16_148
| spl16_624
| ~ spl16_627
| spl16_52
| ~ spl16_628
| spl16_488 ),
inference(avatar_split_clause,[],[f60861,f43768,f60866,f2333,f60863,f60851,f7755]) ).
tff(f60866,plain,
( spl16_628
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_628])]) ).
tff(f60861,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) )
| ( 0 = $sum($product(2,sK12),1) )
| ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| $less($sum($product(2,sK12),1),0)
| spl16_488 ),
inference(subsumption_resolution,[],[f60825,f492]) ).
tff(f60825,plain,
( ~ even1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| ~ odd1($sum($product(2,sK12),1))
| $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),2),$sum($product(2,sK12),1))) )
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| ( 0 = $sum($product(2,sK12),1) )
| spl16_488 ),
inference(superposition,[],[f43769,f2085]) ).
tff(f2085,plain,
! [X2: $int,X3: $int] :
( ( gcd1(X3,$remainder_e(div2(X2,2),X3)) = gcd1(X2,X3) )
| ~ even1(X2)
| ( 0 = X3 )
| $less(X2,0)
| ~ odd1(X3)
| $less(X3,0) ),
inference(superposition,[],[f509,f503]) ).
tff(f509,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X1,X0) = gcd1(X0,$remainder_e(X1,X0)) )
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f396]) ).
tff(f396,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ( gcd1(X1,X0) = gcd1(X0,$remainder_e(X1,X0)) ) ),
inference(rectify,[],[f278]) ).
tff(f278,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ( gcd1(X0,X1) = gcd1(X1,$remainder_e(X0,X1)) ) ),
inference(ennf_transformation,[],[f175]) ).
tff(f175,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( gcd1(X0,X1) = gcd1(X1,$remainder_e(X0,X1)) ) ),
inference(rectify,[],[f93]) ).
tff(f93,axiom,
! [X0: $int,X18: $int] :
( ( 0 != X18 )
=> ( gcd1(X0,X18) = gcd1(X18,$remainder_e(X0,X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_euclidean_mod) ).
tff(f60860,plain,
( ~ spl16_626
| spl16_488 ),
inference(avatar_split_clause,[],[f60808,f43768,f60858]) ).
tff(f60808,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| spl16_488 ),
inference(superposition,[],[f43769,f520]) ).
tff(f60856,plain,
( spl16_624
| ~ spl16_625
| spl16_3
| spl16_488 ),
inference(avatar_split_clause,[],[f60849,f43768,f619,f60854,f60851]) ).
tff(f60854,plain,
( spl16_625
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$product(2,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_625])]) ).
tff(f619,plain,
( spl16_3
<=> $less(sK12,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
tff(f60849,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$product(2,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))) )
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| spl16_3
| spl16_488 ),
inference(subsumption_resolution,[],[f60803,f620]) ).
tff(f620,plain,
( ~ $less(sK12,0)
| spl16_3 ),
inference(avatar_component_clause,[],[f619]) ).
tff(f60803,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$product(2,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))) )
| $less(sK12,0)
| $less($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),0)
| spl16_488 ),
inference(superposition,[],[f43769,f2465]) ).
tff(f2465,plain,
! [X8: $int,X9: $int] :
( ( gcd1($sum($product(2,X9),1),$product(2,X8)) = gcd1(X8,$sum($product(2,X9),1)) )
| $less(X8,0)
| $less(X9,0) ),
inference(superposition,[],[f508,f520]) ).
tff(f508,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,$sum($product(2,X1),1)) = gcd1($product(2,X0),$sum($product(2,X1),1)) )
| $less(X0,0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f395]) ).
tff(f395,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,$sum($product(2,X1),1)) = gcd1($product(2,X0),$sum($product(2,X1),1)) )
| $less(X0,0)
| $less(X1,0) ),
inference(rectify,[],[f264]) ).
tff(f264,plain,
! [X1: $int,X0: $int] :
( ( gcd1($product(2,X1),$sum($product(2,X0),1)) = gcd1(X1,$sum($product(2,X0),1)) )
| $less(X1,0)
| $less(X0,0) ),
inference(flattening,[],[f263]) ).
tff(f263,plain,
! [X0: $int,X1: $int] :
( ( gcd1($product(2,X1),$sum($product(2,X0),1)) = gcd1(X1,$sum($product(2,X0),1)) )
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f206]) ).
tff(f206,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( gcd1($product(2,X1),$sum($product(2,X0),1)) = gcd1(X1,$sum($product(2,X0),1)) ) ) ),
inference(rectify,[],[f129]) ).
tff(f129,plain,
! [X21: $int,X6: $int] :
( ~ $less(X21,0)
=> ( ~ $less(X6,0)
=> ( gcd1($product(2,X6),$sum($product(2,X21),1)) = gcd1(X6,$sum($product(2,X21),1)) ) ) ),
inference(theory_normalization,[],[f112]) ).
tff(f112,axiom,
! [X21: $int,X6: $int] :
( $lesseq(0,X21)
=> ( $lesseq(0,X6)
=> ( gcd1($product(2,X6),$sum($product(2,X21),1)) = gcd1(X6,$sum($product(2,X21),1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_even_odd) ).
tff(f60848,plain,
( ~ spl16_622
| spl16_623
| spl16_488 ),
inference(avatar_split_clause,[],[f60821,f43768,f60846,f60843]) ).
tff(f60843,plain,
( spl16_622
<=> prime1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_622])]) ).
tff(f60846,plain,
( spl16_623
<=> ! [X9: $int] :
( ( -1 = X9 )
| ~ divides1(X9,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = X9 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X9,$sum($product(2,sK12),1)) )
| ( 1 = X9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_623])]) ).
tff(f60821,plain,
( ! [X9: $int] :
( ( -1 = X9 )
| ~ prime1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))))
| ( 1 = X9 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X9,$sum($product(2,sK12),1)) )
| ( $sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))) = X9 )
| ~ divides1(X9,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| spl16_488 ),
inference(superposition,[],[f43769,f1978]) ).
tff(f60841,plain,
( spl16_52
| ~ spl16_621
| spl16_488 ),
inference(avatar_split_clause,[],[f60806,f43768,f60839,f2333]) ).
tff(f60839,plain,
( spl16_621
<=> ( gcd1($sum($product(2,sK12),1),$remainder_e($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_621])]) ).
tff(f60806,plain,
( ( gcd1($sum($product(2,sK12),1),$remainder_e($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( 0 = $sum($product(2,sK12),1) )
| spl16_488 ),
inference(superposition,[],[f43769,f509]) ).
tff(f60837,plain,
( ~ spl16_619
| spl16_620
| spl16_488 ),
inference(avatar_split_clause,[],[f60830,f43768,f60835,f60832]) ).
tff(f60832,plain,
( spl16_619
<=> ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$product(2,sK12)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_619])]) ).
tff(f60835,plain,
( spl16_620
<=> ! [X1: $int] :
( ( 1 = $product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| ~ divides1($product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_620])]) ).
tff(f60830,plain,
( ! [X1: $int] :
( ( 1 = $product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$product(2,sK12)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1($product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))),1) )
| spl16_488 ),
inference(subsumption_resolution,[],[f60805,f571]) ).
tff(f571,plain,
! [X0: $int] : divides1(1,X0),
inference(cnf_transformation,[],[f241]) ).
tff(f241,plain,
! [X0: $int] : divides1(1,X0),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X14: $int] : divides1(1,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_1_n) ).
tff(f60805,plain,
( ! [X1: $int] :
( ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$product(2,sK12)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( 1 = $product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))) )
| ~ divides1(1,$product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))))
| ~ divides1($product(X1,$sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1))))),1) )
| spl16_488 ),
inference(superposition,[],[f43769,f1702]) ).
tff(f1702,plain,
! [X65: $int,X63: $int,X66: $int,X64: $int] :
( ( gcd1(X64,X66) = gcd1(X64,$sum(X66,X65)) )
| ( $product(X63,X64) = X65 )
| ~ divides1(X65,$product(X63,X64))
| ~ divides1($product(X63,X64),X65) ),
inference(superposition,[],[f540,f510]) ).
tff(f60798,plain,
~ spl16_618,
inference(avatar_split_clause,[],[f60773,f60796]) ).
tff(f60796,plain,
( spl16_618
<=> odd1($uminus(abs1(-2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_618])]) ).
tff(f60773,plain,
~ odd1($uminus(abs1(-2))),
inference(evaluation,[],[f60767]) ).
tff(f60767,plain,
( ~ odd1($uminus(abs1(-2)))
| ~ $less(-2,0) ),
inference(resolution,[],[f809,f1071]) ).
tff(f1071,plain,
! [X0: $int] :
( ~ divides1(-2,X0)
| ~ odd1($uminus(X0)) ),
inference(superposition,[],[f1063,f523]) ).
tff(f1063,plain,
! [X1: $int] : ~ odd1($uminus($product(X1,-2))),
inference(evaluation,[],[f1051]) ).
tff(f1051,plain,
! [X1: $int] : ~ odd1($uminus($product(X1,$uminus(2)))),
inference(resolution,[],[f692,f685]) ).
tff(f685,plain,
! [X0: $int] :
( ~ divides1(2,X0)
| ~ odd1($uminus(X0)) ),
inference(resolution,[],[f486,f533]) ).
tff(f533,plain,
! [X0: $int] :
( ~ divides1(2,X0)
| ~ odd1(X0) ),
inference(cnf_transformation,[],[f411]) ).
tff(f411,plain,
! [X0: $int] :
( ( odd1(X0)
| divides1(2,X0) )
& ( ~ divides1(2,X0)
| ~ odd1(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
tff(f80,axiom,
! [X0: $int] :
( odd1(X0)
<=> ~ divides1(2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_divides) ).
tff(f486,plain,
! [X0: $int,X1: $int] :
( divides1(X0,$uminus(X1))
| ~ divides1(X0,X1) ),
inference(cnf_transformation,[],[f349]) ).
tff(f349,plain,
! [X0: $int,X1: $int] :
( divides1(X0,$uminus(X1))
| ~ divides1(X0,X1) ),
inference(ennf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: $int,X1: $int] :
( divides1(X0,X1)
=> divides1(X0,$uminus(X1)) ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X0: $int,X18: $int] :
( divides1(X0,X18)
=> divides1(X0,$uminus(X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_oppr) ).
tff(f692,plain,
! [X6: $int,X7: $int] : divides1(X6,$product(X7,$uminus(X6))),
inference(resolution,[],[f515,f605]) ).
tff(f515,plain,
! [X0: $int,X1: $int] :
( ~ divides1($uminus(X1),X0)
| divides1(X1,X0) ),
inference(cnf_transformation,[],[f400]) ).
tff(f400,plain,
! [X0: $int,X1: $int] :
( ~ divides1($uminus(X1),X0)
| divides1(X1,X0) ),
inference(rectify,[],[f311]) ).
tff(f311,plain,
! [X1: $int,X0: $int] :
( ~ divides1($uminus(X0),X1)
| divides1(X0,X1) ),
inference(ennf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: $int,X1: $int] :
( divides1($uminus(X0),X1)
=> divides1(X0,X1) ),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X0: $int,X18: $int] :
( divides1($uminus(X0),X18)
=> divides1(X0,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_oppr_rev) ).
tff(f809,plain,
! [X12: $int] :
( divides1(X12,abs1(X12))
| ~ $less(X12,0) ),
inference(superposition,[],[f689,f584]) ).
tff(f689,plain,
! [X2: $int] : divides1(X2,$uminus(X2)),
inference(resolution,[],[f515,f566]) ).
tff(f60794,plain,
spl16_617,
inference(avatar_split_clause,[],[f60774,f60792]) ).
tff(f60792,plain,
( spl16_617
<=> even1(abs1(-2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_617])]) ).
tff(f60774,plain,
even1(abs1(-2)),
inference(evaluation,[],[f60769]) ).
tff(f60769,plain,
( even1(abs1(-2))
| ~ $less(-2,0) ),
inference(resolution,[],[f809,f1066]) ).
tff(f1066,plain,
! [X0: $int] :
( ~ divides1(-2,X0)
| even1(X0) ),
inference(superposition,[],[f1061,f523]) ).
tff(f1061,plain,
! [X3: $int] : even1($product(X3,-2)),
inference(evaluation,[],[f1053]) ).
tff(f1053,plain,
! [X3: $int] : even1($product(X3,$uminus(2))),
inference(resolution,[],[f692,f518]) ).
tff(f518,plain,
! [X0: $int] :
( ~ divides1(2,X0)
| even1(X0) ),
inference(cnf_transformation,[],[f402]) ).
tff(f60790,plain,
~ spl16_616,
inference(avatar_split_clause,[],[f60775,f60788]) ).
tff(f60788,plain,
( spl16_616
<=> odd1(abs1(-2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_616])]) ).
tff(f60775,plain,
~ odd1(abs1(-2)),
inference(evaluation,[],[f60770]) ).
tff(f60770,plain,
( ~ odd1(abs1(-2))
| ~ $less(-2,0) ),
inference(resolution,[],[f809,f1065]) ).
tff(f1065,plain,
! [X0: $int] :
( ~ divides1(-2,X0)
| ~ odd1(X0) ),
inference(superposition,[],[f1059,f523]) ).
tff(f1059,plain,
! [X2: $int] : ~ odd1($product(X2,-2)),
inference(evaluation,[],[f1052]) ).
tff(f1052,plain,
! [X2: $int] : ~ odd1($product(X2,$uminus(2))),
inference(resolution,[],[f692,f533]) ).
tff(f60786,plain,
spl16_615,
inference(avatar_split_clause,[],[f60776,f60784]) ).
tff(f60776,plain,
even1($uminus(abs1(-2))),
inference(evaluation,[],[f60768]) ).
tff(f60768,plain,
( even1($uminus(abs1(-2)))
| ~ $less(-2,0) ),
inference(resolution,[],[f809,f1067]) ).
tff(f1067,plain,
! [X0: $int] :
( ~ divides1(-2,X0)
| even1($uminus(X0)) ),
inference(superposition,[],[f1062,f523]) ).
tff(f1062,plain,
! [X0: $int] : even1($uminus($product(X0,-2))),
inference(evaluation,[],[f1050]) ).
tff(f1050,plain,
! [X0: $int] : even1($uminus($product(X0,$uminus(2)))),
inference(resolution,[],[f692,f686]) ).
tff(f686,plain,
! [X1: $int] :
( ~ divides1(2,X1)
| even1($uminus(X1)) ),
inference(resolution,[],[f486,f518]) ).
tff(f60782,plain,
spl16_614,
inference(avatar_split_clause,[],[f60777,f60780]) ).
tff(f60780,plain,
( spl16_614
<=> divides1(2,abs1(-2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_614])]) ).
tff(f60777,plain,
divides1(2,abs1(-2)),
inference(evaluation,[],[f60766]) ).
tff(f60766,plain,
( ~ $less(-2,0)
| divides1(2,abs1(-2)) ),
inference(resolution,[],[f809,f1274]) ).
tff(f1274,plain,
! [X0: $int] :
( ~ divides1(-2,X0)
| divides1(2,X0) ),
inference(superposition,[],[f1263,f523]) ).
tff(f1263,plain,
! [X4: $int] : divides1(2,$product(X4,-2)),
inference(resolution,[],[f720,f1062]) ).
tff(f720,plain,
! [X8: $int] :
( ~ even1($uminus(X8))
| divides1(2,X8) ),
inference(resolution,[],[f567,f519]) ).
tff(f59472,plain,
( spl16_52
| spl16_613
| spl16_148
| spl16_6 ),
inference(avatar_split_clause,[],[f59468,f630,f7755,f59470,f2333]) ).
tff(f59470,plain,
( spl16_613
<=> ! [X34: $int] :
( ( sK12 = X34 )
| ~ divides1(X34,sK12)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2(div2($sum(sK11,X34),2),$sum($product(2,sK12),1))) )
| ~ divides1(sK12,X34)
| ~ even1($sum(sK11,X34))
| $less($sum(sK11,X34),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_613])]) ).
tff(f630,plain,
( spl16_6
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
tff(f59468,plain,
( ! [X34: $int] :
( $less($sum($product(2,sK12),1),0)
| ( sK12 = X34 )
| $less($sum(sK11,X34),0)
| ~ even1($sum(sK11,X34))
| ~ divides1(sK12,X34)
| ( 0 = $sum($product(2,sK12),1) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2(div2($sum(sK11,X34),2),$sum($product(2,sK12),1))) )
| ~ divides1(X34,sK12) )
| spl16_6 ),
inference(subsumption_resolution,[],[f59424,f492]) ).
tff(f59424,plain,
( ! [X34: $int] :
( ( sK12 = X34 )
| ( 0 = $sum($product(2,sK12),1) )
| $less($sum(sK11,X34),0)
| ~ odd1($sum($product(2,sK12),1))
| ~ divides1(sK12,X34)
| ~ divides1(X34,sK12)
| $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2(div2($sum(sK11,X34),2),$sum($product(2,sK12),1))) )
| ~ even1($sum(sK11,X34)) )
| spl16_6 ),
inference(superposition,[],[f47274,f2074]) ).
tff(f47274,plain,
( ! [X1: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,X1),$sum($product(2,sK12),1)) )
| ~ divides1(sK12,X1)
| ( sK12 = X1 )
| ~ divides1(X1,sK12) )
| spl16_6 ),
inference(superposition,[],[f631,f510]) ).
tff(f631,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) )
| spl16_6 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f59467,plain,
( ~ spl16_506
| spl16_52
| spl16_612
| spl16_6 ),
inference(avatar_split_clause,[],[f59418,f630,f59465,f2333,f43835]) ).
tff(f43835,plain,
( spl16_506
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_506])]) ).
tff(f59465,plain,
( spl16_612
<=> ! [X22: $int] :
( ( sK12 = X22 )
| ~ divides1($sum($product(2,sK12),1),$sum(sK11,X22))
| ~ divides1(X22,sK12)
| ~ divides1(sK12,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_612])]) ).
tff(f59418,plain,
( ! [X22: $int] :
( ( sK12 = X22 )
| ~ divides1(sK12,X22)
| ~ divides1(X22,sK12)
| ( 0 = $sum($product(2,sK12),1) )
| ~ divides1($sum($product(2,sK12),1),$sum(sK11,X22))
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),0) ) )
| spl16_6 ),
inference(superposition,[],[f47274,f1528]) ).
tff(f1528,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,X1) = gcd1(X1,0) )
| ( 0 = X1 )
| ~ divides1(X1,X0) ),
inference(duplicate_literal_removal,[],[f1497]) ).
tff(f1497,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,X1) = gcd1(X1,0) )
| ( 0 = X1 )
| ( 0 = X1 )
| ~ divides1(X1,X0) ),
inference(superposition,[],[f509,f563]) ).
tff(f563,plain,
! [X0: $int,X1: $int] :
( ( 0 = $remainder_e(X1,X0) )
| ~ divides1(X0,X1)
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f428]) ).
tff(f428,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ divides1(X0,X1)
| ( 0 = $remainder_e(X1,X0) ) ),
inference(rectify,[],[f341]) ).
tff(f341,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ~ divides1(X1,X0)
| ( 0 = $remainder_e(X0,X1) ) ),
inference(flattening,[],[f340]) ).
tff(f340,plain,
! [X0: $int,X1: $int] :
( ( 0 = $remainder_e(X0,X1) )
| ~ divides1(X1,X0)
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( divides1(X1,X0)
=> ( 0 = $remainder_e(X0,X1) ) ) ),
inference(rectify,[],[f76]) ).
tff(f76,axiom,
! [X0: $int,X18: $int] :
( ( 0 != X18 )
=> ( divides1(X18,X0)
=> ( 0 = $remainder_e(X0,X18) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_mod_euclidean) ).
tff(f59461,plain,
( spl16_52
| spl16_611
| spl16_148
| spl16_6 ),
inference(avatar_split_clause,[],[f59457,f630,f7755,f59459,f2333]) ).
tff(f59459,plain,
( spl16_611
<=> ! [X36: $int] :
( ~ divides1(X36,sK12)
| ~ divides1(sK12,X36)
| ~ even1($sum(sK11,X36))
| $less($sum(sK11,X36),0)
| ( sK12 = X36 )
| ( gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum(sK11,X36),2),$sum($product(2,sK12),1))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_611])]) ).
tff(f59457,plain,
( ! [X36: $int] :
( $less($sum($product(2,sK12),1),0)
| ~ divides1(X36,sK12)
| ( gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum(sK11,X36),2),$sum($product(2,sK12),1))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( sK12 = X36 )
| $less($sum(sK11,X36),0)
| ~ even1($sum(sK11,X36))
| ~ divides1(sK12,X36)
| ( 0 = $sum($product(2,sK12),1) ) )
| spl16_6 ),
inference(subsumption_resolution,[],[f59426,f492]) ).
tff(f59426,plain,
( ! [X36: $int] :
( $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK12),1),$remainder_e(div2($sum(sK11,X36),2),$sum($product(2,sK12),1))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1(X36,sK12)
| ~ divides1(sK12,X36)
| ( sK12 = X36 )
| ~ odd1($sum($product(2,sK12),1))
| ~ even1($sum(sK11,X36))
| $less($sum(sK11,X36),0)
| ( 0 = $sum($product(2,sK12),1) ) )
| spl16_6 ),
inference(superposition,[],[f47274,f2085]) ).
tff(f59453,plain,
( spl16_520
| spl16_610
| spl16_6 ),
inference(avatar_split_clause,[],[f59449,f630,f59451,f48343]) ).
tff(f48343,plain,
( spl16_520
<=> ! [X38: $int] :
( ( 1 = $product(X38,$sum($product(2,sK11),1)) )
| ~ divides1($product(X38,$sum($product(2,sK11),1)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_520])]) ).
tff(f59451,plain,
( spl16_610
<=> ! [X3: $int] :
( ( sK12 = X3 )
| ( gcd1($sum($product(2,sK11),1),$product(2,sK12)) != gcd1($sum(sK11,X3),$sum($product(2,sK12),1)) )
| ~ divides1(sK12,X3)
| ~ divides1(X3,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_610])]) ).
tff(f59449,plain,
( ! [X3: $int,X4: $int] :
( ( sK12 = X3 )
| ~ divides1($product(X4,$sum($product(2,sK11),1)),1)
| ~ divides1(X3,sK12)
| ~ divides1(sK12,X3)
| ( 1 = $product(X4,$sum($product(2,sK11),1)) )
| ( gcd1($sum($product(2,sK11),1),$product(2,sK12)) != gcd1($sum(sK11,X3),$sum($product(2,sK12),1)) ) )
| spl16_6 ),
inference(subsumption_resolution,[],[f59383,f571]) ).
tff(f59383,plain,
( ! [X3: $int,X4: $int] :
( ( sK12 = X3 )
| ( gcd1($sum($product(2,sK11),1),$product(2,sK12)) != gcd1($sum(sK11,X3),$sum($product(2,sK12),1)) )
| ~ divides1($product(X4,$sum($product(2,sK11),1)),1)
| ~ divides1(sK12,X3)
| ~ divides1(1,$product(X4,$sum($product(2,sK11),1)))
| ( 1 = $product(X4,$sum($product(2,sK11),1)) )
| ~ divides1(X3,sK12) )
| spl16_6 ),
inference(superposition,[],[f47274,f1702]) ).
tff(f59446,plain,
( spl16_609
| spl16_148
| spl16_6 ),
inference(avatar_split_clause,[],[f59442,f630,f7755,f59444]) ).
tff(f59444,plain,
( spl16_609
<=> ! [X35: $int] :
( ~ even1($sum(sK11,X35))
| ~ divides1(sK12,X35)
| $less($sum(sK11,X35),0)
| ( sK12 = X35 )
| ~ divides1(X35,sK12)
| ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,X35),2)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_609])]) ).
tff(f59442,plain,
( ! [X35: $int] :
( $less($sum($product(2,sK12),1),0)
| ~ even1($sum(sK11,X35))
| ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,X35),2)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1(X35,sK12)
| ( sK12 = X35 )
| $less($sum(sK11,X35),0)
| ~ divides1(sK12,X35) )
| spl16_6 ),
inference(subsumption_resolution,[],[f59425,f492]) ).
tff(f59425,plain,
( ! [X35: $int] :
( ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,X35),2)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( sK12 = X35 )
| ~ divides1(X35,sK12)
| $less($sum($product(2,sK12),1),0)
| ~ odd1($sum($product(2,sK12),1))
| ~ even1($sum(sK11,X35))
| ~ divides1(sK12,X35)
| $less($sum(sK11,X35),0) )
| spl16_6 ),
inference(superposition,[],[f47274,f2077]) ).
tff(f59441,plain,
( ~ spl16_143
| ~ spl16_607
| spl16_608
| spl16_6 ),
inference(avatar_split_clause,[],[f59394,f630,f59439,f59436,f7549]) ).
tff(f7549,plain,
( spl16_143
<=> divides1(0,$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_143])]) ).
tff(f59436,plain,
( spl16_607
<=> divides1(0,$sum($product(2,sK11),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_607])]) ).
tff(f59439,plain,
( spl16_608
<=> ! [X38: $int] :
( ~ divides1(sK12,X38)
| ( sK12 = X38 )
| ( 0 != gcd1($sum(sK11,X38),$sum($product(2,sK12),1)) )
| ~ divides1(X38,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_608])]) ).
tff(f59394,plain,
( ! [X38: $int] :
( ~ divides1(sK12,X38)
| ~ divides1(X38,sK12)
| ~ divides1(0,$sum($product(2,sK11),1))
| ~ divides1(0,$sum($product(2,sK12),1))
| ( 0 != gcd1($sum(sK11,X38),$sum($product(2,sK12),1)) )
| ( sK12 = X38 ) )
| spl16_6 ),
inference(superposition,[],[f47274,f2212]) ).
tff(f2212,plain,
! [X2: $int,X3: $int] :
( ( 0 = gcd1(X2,X3) )
| ~ divides1(0,X3)
| ~ divides1(0,X2) ),
inference(evaluation,[],[f2202]) ).
tff(f2202,plain,
! [X2: $int,X3: $int] :
( ~ divides1(0,X2)
| $less(0,0)
| ( 0 = gcd1(X2,X3) )
| ~ divides1(0,X3) ),
inference(resolution,[],[f464,f564]) ).
tff(f564,plain,
! [X0: $int] : divides1(X0,0),
inference(cnf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: $int] : divides1(X0,0),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X14: $int] : divides1(X14,0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_0) ).
tff(f59434,plain,
( spl16_468
| spl16_606
| spl16_207
| spl16_6 ),
inference(avatar_split_clause,[],[f59392,f630,f11257,f59432,f42907]) ).
tff(f42907,plain,
( spl16_468
<=> ( $sum($product(2,sK11),1) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_468])]) ).
tff(f59432,plain,
( spl16_606
<=> ! [X32: $int,X33: $int] :
( ( $sum($product(2,sK11),1) = X32 )
| ~ divides1(X33,sK12)
| ~ divides1(sK12,X33)
| ( sK12 = X33 )
| ( gcd1(X32,$sum($product(2,sK12),1)) != gcd1($sum(sK11,X33),$sum($product(2,sK12),1)) )
| ~ prime1(X32)
| ~ divides1($sum($product(2,sK11),1),X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_606])]) ).
tff(f11257,plain,
( spl16_207
<=> ( 1 = $sum($product(2,sK11),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_207])]) ).
tff(f59392,plain,
( ! [X32: $int,X33: $int] :
( ( 1 = $sum($product(2,sK11),1) )
| ( $sum($product(2,sK11),1) = X32 )
| ~ divides1($sum($product(2,sK11),1),X32)
| ~ prime1(X32)
| ( gcd1(X32,$sum($product(2,sK12),1)) != gcd1($sum(sK11,X33),$sum($product(2,sK12),1)) )
| ( sK12 = X33 )
| ~ divides1(sK12,X33)
| ~ divides1(X33,sK12)
| ( $sum($product(2,sK11),1) = -1 ) )
| spl16_6 ),
inference(superposition,[],[f47274,f1978]) ).
tff(f59125,plain,
( spl16_362
| spl16_605
| spl16_198 ),
inference(avatar_split_clause,[],[f59121,f11213,f59123,f31178]) ).
tff(f31178,plain,
( spl16_362
<=> $less(div2(1,2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_362])]) ).
tff(f59123,plain,
( spl16_605
<=> ! [X20: $int] :
( even1(X20)
| ( div2(1,2) = $sum(div2(1,2),div2(mod2(X20,2),2)) )
| $less(X20,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_605])]) ).
tff(f11213,plain,
( spl16_198
<=> $less(mod2(1,2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_198])]) ).
tff(f59121,plain,
( ! [X20: $int] :
( even1(X20)
| $less(div2(1,2),0)
| $less(X20,0)
| ( div2(1,2) = $sum(div2(1,2),div2(mod2(X20,2),2)) ) )
| spl16_198 ),
inference(subsumption_resolution,[],[f59063,f11214]) ).
tff(f11214,plain,
( ~ $less(mod2(1,2),0)
| spl16_198 ),
inference(avatar_component_clause,[],[f11213]) ).
tff(f59063,plain,
! [X20: $int] :
( $less(div2(1,2),0)
| ( div2(1,2) = $sum(div2(1,2),div2(mod2(X20,2),2)) )
| $less(X20,0)
| $less(mod2(1,2),0)
| even1(X20) ),
inference(evaluation,[],[f59030]) ).
tff(f59030,plain,
! [X20: $int] :
( ~ $less(0,2)
| $less(div2(1,2),0)
| even1(X20)
| ( 0 = 2 )
| $less(X20,0)
| $less(mod2(1,2),0)
| ( div2(1,2) = $sum(div2(1,2),div2(mod2(X20,2),2)) ) ),
inference(superposition,[],[f2363,f2284]) ).
tff(f2284,plain,
! [X1: $int] :
( ( mod2(X1,2) = mod2(1,2) )
| $less(X1,0)
| even1(X1) ),
inference(subsumption_resolution,[],[f2279,f578]) ).
tff(f578,plain,
! [X0: $int] :
( ~ $less(div2(X0,2),0)
| $less(X0,0) ),
inference(cnf_transformation,[],[f317]) ).
tff(f317,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(div2(X0,2),0) ),
inference(ennf_transformation,[],[f221]) ).
tff(f221,plain,
! [X0: $int] :
( ~ $less(X0,0)
=> ~ $less(div2(X0,2),0) ),
inference(rectify,[],[f134]) ).
tff(f134,plain,
! [X14: $int] :
( ~ $less(X14,0)
=> ~ $less(div2(X14,2),0) ),
inference(theory_normalization,[],[f97]) ).
tff(f97,axiom,
! [X14: $int] :
( $lesseq(0,X14)
=> $lesseq(0,div2(X14,2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_nonneg) ).
tff(f2279,plain,
! [X1: $int] :
( $less(X1,0)
| $less(div2(X1,2),0)
| ( mod2(X1,2) = mod2(1,2) )
| even1(X1) ),
inference(evaluation,[],[f2264]) ).
tff(f2264,plain,
! [X1: $int] :
( $less(div2(X1,2),0)
| even1(X1)
| ( mod2(X1,2) = mod2(1,2) )
| ~ $less(0,2)
| $less(X1,0)
| $less(1,0) ),
inference(superposition,[],[f539,f587]) ).
tff(f587,plain,
! [X0: $int] :
( ( $sum($product(2,div2(X0,2)),1) = X0 )
| $less(X0,0)
| even1(X0) ),
inference(cnf_transformation,[],[f436]) ).
tff(f436,plain,
! [X0: $int] :
( $less(X0,0)
| ( ( ~ even1(X0)
| ( $sum($product(2,div2(X0,2)),1) != X0 ) )
& ( ( $sum($product(2,div2(X0,2)),1) = X0 )
| even1(X0) ) ) ),
inference(nnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X0: $int] :
( $less(X0,0)
| ( ~ even1(X0)
<=> ( $sum($product(2,div2(X0,2)),1) = X0 ) ) ),
inference(ennf_transformation,[],[f252]) ).
tff(f252,plain,
! [X0: $int] :
( ~ $less(X0,0)
=> ( ~ even1(X0)
<=> ( $sum($product(2,div2(X0,2)),1) = X0 ) ) ),
inference(rectify,[],[f149]) ).
tff(f149,plain,
! [X14: $int] :
( ~ $less(X14,0)
=> ( ~ even1(X14)
<=> ( $sum($product(2,div2(X14,2)),1) = X14 ) ) ),
inference(theory_normalization,[],[f96]) ).
tff(f96,axiom,
! [X14: $int] :
( $lesseq(0,X14)
=> ( ~ even1(X14)
<=> ( $sum($product(2,div2(X14,2)),1) = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd1) ).
tff(f539,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( mod2(X2,X1) = mod2($sum($product(X1,X0),X2),X1) )
| $less(X2,0)
| $less(X0,0)
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f413]) ).
tff(f413,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X1)
| $less(X2,0)
| ( mod2(X2,X1) = mod2($sum($product(X1,X0),X2),X1) )
| $less(X0,0) ),
inference(rectify,[],[f295]) ).
tff(f295,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ $less(0,X2)
| $less(X1,0)
| ( mod2($sum($product(X2,X0),X1),X2) = mod2(X1,X2) )
| $less(X0,0) ),
inference(flattening,[],[f294]) ).
tff(f294,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( mod2($sum($product(X2,X0),X1),X2) = mod2(X1,X2) )
| ~ $less(0,X2)
| $less(X0,0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f215]) ).
tff(f215,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( $less(0,X2)
& ~ $less(X0,0)
& ~ $less(X1,0) )
=> ( mod2($sum($product(X2,X0),X1),X2) = mod2(X1,X2) ) ),
inference(rectify,[],[f133]) ).
tff(f133,plain,
! [X7: $int,X4: $int,X1: $int] :
( ( ~ $less(X7,0)
& ~ $less(X4,0)
& $less(0,X1) )
=> ( mod2($sum($product(X1,X7),X4),X1) = mod2(X4,X1) ) ),
inference(theory_normalization,[],[f25]) ).
tff(f25,axiom,
! [X7: $int,X4: $int,X1: $int] :
( ( $lesseq(0,X7)
& $lesseq(0,X4)
& $less(0,X1) )
=> ( mod2($sum($product(X1,X7),X4),X1) = mod2(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult) ).
tff(f2363,plain,
! [X2: $int,X3: $int] :
( ( div2(X3,X2) = $sum(div2(X3,X2),div2(mod2(X3,X2),X2)) )
| $less(mod2(X3,X2),0)
| ~ $less(0,X2)
| $less(div2(X3,X2),0)
| ( 0 = X2 ) ),
inference(superposition,[],[f504,f511]) ).
tff(f511,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X0,div2(X1,X0)),mod2(X1,X0)) = X1 )
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f321]) ).
tff(f321,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $sum($product(X0,div2(X1,X0)),mod2(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f208]) ).
tff(f208,plain,
! [X1: $int,X0: $int] :
( ( 0 != X0 )
=> ( $sum($product(X0,div2(X1,X0)),mod2(X1,X0)) = X1 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> ( $sum($product(X7,div2(X1,X7)),mod2(X1,X7)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod) ).
tff(f504,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,div2(X1,X2)) = div2($sum($product(X2,X0),X1),X2) )
| ~ $less(0,X2)
| $less(X0,0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f308]) ).
tff(f308,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X2)
| ( $sum(X0,div2(X1,X2)) = div2($sum($product(X2,X0),X1),X2) )
| $less(X0,0)
| $less(X1,0) ),
inference(flattening,[],[f307]) ).
tff(f307,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,div2(X1,X2)) = div2($sum($product(X2,X0),X1),X2) )
| $less(X1,0)
| $less(X0,0)
| ~ $less(0,X2) ),
inference(ennf_transformation,[],[f191]) ).
tff(f191,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ~ $less(X1,0)
& ~ $less(X0,0)
& $less(0,X2) )
=> ( $sum(X0,div2(X1,X2)) = div2($sum($product(X2,X0),X1),X2) ) ),
inference(rectify,[],[f125]) ).
tff(f125,plain,
! [X7: $int,X4: $int,X1: $int] :
( ( ~ $less(X7,0)
& ~ $less(X4,0)
& $less(0,X1) )
=> ( div2($sum($product(X1,X7),X4),X1) = $sum(X7,div2(X4,X1)) ) ),
inference(theory_normalization,[],[f24]) ).
tff(f24,axiom,
! [X7: $int,X4: $int,X1: $int] :
( ( $lesseq(0,X7)
& $lesseq(0,X4)
& $less(0,X1) )
=> ( div2($sum($product(X1,X7),X4),X1) = $sum(X7,div2(X4,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult) ).
tff(f59115,plain,
( spl16_362
| spl16_604
| spl16_198 ),
inference(avatar_split_clause,[],[f59111,f11213,f59113,f31178]) ).
tff(f59113,plain,
( spl16_604
<=> ! [X19: $int] :
( ~ odd1(X19)
| ( $sum(div2(1,2),div2(mod2(X19,2),2)) = div2(1,2) )
| $less(sK13(X19),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_604])]) ).
tff(f59111,plain,
( ! [X19: $int] :
( ~ odd1(X19)
| $less(div2(1,2),0)
| $less(sK13(X19),0)
| ( $sum(div2(1,2),div2(mod2(X19,2),2)) = div2(1,2) ) )
| spl16_198 ),
inference(subsumption_resolution,[],[f59077,f11214]) ).
tff(f59077,plain,
! [X19: $int] :
( $less(mod2(1,2),0)
| ( $sum(div2(1,2),div2(mod2(X19,2),2)) = div2(1,2) )
| $less(sK13(X19),0)
| ~ odd1(X19)
| $less(div2(1,2),0) ),
inference(evaluation,[],[f59029]) ).
tff(f59029,plain,
! [X19: $int] :
( ~ $less(0,2)
| ( 0 = 2 )
| $less(sK13(X19),0)
| ~ odd1(X19)
| ( $sum(div2(1,2),div2(mod2(X19,2),2)) = div2(1,2) )
| $less(div2(1,2),0)
| $less(mod2(1,2),0) ),
inference(superposition,[],[f2363,f2282]) ).
tff(f2282,plain,
! [X0: $int] :
( ( mod2(X0,2) = mod2(1,2) )
| $less(sK13(X0),0)
| ~ odd1(X0) ),
inference(evaluation,[],[f2263]) ).
tff(f2263,plain,
! [X0: $int] :
( ~ odd1(X0)
| ( mod2(X0,2) = mod2(1,2) )
| $less(1,0)
| ~ $less(0,2)
| $less(sK13(X0),0) ),
inference(superposition,[],[f539,f590]) ).
tff(f590,plain,
! [X0: $int] :
( ( $sum($product(2,sK13(X0)),1) = X0 )
| ~ odd1(X0) ),
inference(cnf_transformation,[],[f440]) ).
tff(f440,plain,
! [X0: $int] :
( ( ( $sum($product(2,sK13(X0)),1) = X0 )
| ~ odd1(X0) )
& ( odd1(X0)
| ! [X2: $int] : ( $sum($product(2,X2),1) != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f438,f439]) ).
tff(f439,plain,
! [X0: $int] :
( ? [X1: $int] : ( $sum($product(2,X1),1) = X0 )
=> ( $sum($product(2,sK13(X0)),1) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f438,plain,
! [X0: $int] :
( ( ? [X1: $int] : ( $sum($product(2,X1),1) = X0 )
| ~ odd1(X0) )
& ( odd1(X0)
| ! [X2: $int] : ( $sum($product(2,X2),1) != X0 ) ) ),
inference(rectify,[],[f437]) ).
tff(f437,plain,
! [X0: $int] :
( ( ? [X1: $int] : ( $sum($product(2,X1),1) = X0 )
| ~ odd1(X0) )
& ( odd1(X0)
| ! [X1: $int] : ( $sum($product(2,X1),1) != X0 ) ) ),
inference(nnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: $int] :
( ? [X1: $int] : ( $sum($product(2,X1),1) = X0 )
<=> odd1(X0) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X14: $int] :
( ? [X15: $int] : ( $sum($product(2,X15),1) = X14 )
<=> odd1(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_def) ).
tff(f59002,plain,
( spl16_362
| spl16_603 ),
inference(avatar_split_clause,[],[f58949,f59000,f31178]) ).
tff(f59000,plain,
( spl16_603
<=> ! [X59: $int,X58: $int] :
( $less(sK13(X58),0)
| ~ $less(0,sK2(sK13(X58),X59))
| ~ odd1(X58)
| $less(X59,0)
| ~ divides1(X59,sK13(X58))
| ( div2(div2(X58,2),sK2(sK13(X58),X59)) = $sum(X59,div2(div2(1,2),sK2(sK13(X58),X59))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_603])]) ).
tff(f58949,plain,
! [X58: $int,X59: $int] :
( $less(sK13(X58),0)
| ( div2(div2(X58,2),sK2(sK13(X58),X59)) = $sum(X59,div2(div2(1,2),sK2(sK13(X58),X59))) )
| ~ divides1(X59,sK13(X58))
| $less(div2(1,2),0)
| $less(X59,0)
| ~ odd1(X58)
| ~ $less(0,sK2(sK13(X58),X59)) ),
inference(superposition,[],[f2360,f2387]) ).
tff(f2387,plain,
! [X0: $int] :
( ( $sum(sK13(X0),div2(1,2)) = div2(X0,2) )
| ~ odd1(X0)
| $less(sK13(X0),0) ),
inference(evaluation,[],[f2361]) ).
tff(f2361,plain,
! [X0: $int] :
( ~ odd1(X0)
| ~ $less(0,2)
| ( $sum(sK13(X0),div2(1,2)) = div2(X0,2) )
| $less(1,0)
| $less(sK13(X0),0) ),
inference(superposition,[],[f504,f590]) ).
tff(f2360,plain,
! [X6: $int,X4: $int,X5: $int] :
( ( div2($sum(X4,X6),sK2(X4,X5)) = $sum(X5,div2(X6,sK2(X4,X5))) )
| $less(X6,0)
| ~ $less(0,sK2(X4,X5))
| ~ divides1(X5,X4)
| $less(X5,0) ),
inference(superposition,[],[f504,f523]) ).
tff(f58996,plain,
( spl16_362
| spl16_602 ),
inference(avatar_split_clause,[],[f58945,f58994,f31178]) ).
tff(f58994,plain,
( spl16_602
<=> ! [X48: $int,X49: $int] :
( $less(X48,0)
| ~ divides1(X49,div2(X48,2))
| ~ $less(0,sK2(div2(X48,2),X49))
| $less(X49,0)
| ( div2(div2(X48,2),sK2(div2(X48,2),X49)) = $sum(X49,div2(div2(1,2),sK2(div2(X48,2),X49))) )
| even1(X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_602])]) ).
tff(f58945,plain,
! [X48: $int,X49: $int] :
( $less(X48,0)
| $less(div2(1,2),0)
| even1(X48)
| ( div2(div2(X48,2),sK2(div2(X48,2),X49)) = $sum(X49,div2(div2(1,2),sK2(div2(X48,2),X49))) )
| $less(X49,0)
| ~ $less(0,sK2(div2(X48,2),X49))
| ~ divides1(X49,div2(X48,2)) ),
inference(superposition,[],[f2360,f2395]) ).
tff(f2395,plain,
! [X1: $int] :
( ( $sum(div2(X1,2),div2(1,2)) = div2(X1,2) )
| $less(X1,0)
| even1(X1) ),
inference(subsumption_resolution,[],[f2383,f578]) ).
tff(f2383,plain,
! [X1: $int] :
( $less(div2(X1,2),0)
| even1(X1)
| $less(X1,0)
| ( $sum(div2(X1,2),div2(1,2)) = div2(X1,2) ) ),
inference(evaluation,[],[f2362]) ).
tff(f2362,plain,
! [X1: $int] :
( $less(div2(X1,2),0)
| $less(X1,0)
| $less(1,0)
| ( $sum(div2(X1,2),div2(1,2)) = div2(X1,2) )
| ~ $less(0,2)
| even1(X1) ),
inference(superposition,[],[f504,f587]) ).
tff(f58820,plain,
( spl16_546
| spl16_545
| spl16_601 ),
inference(avatar_split_clause,[],[f58578,f58818,f52099,f52102]) ).
tff(f52102,plain,
( spl16_546
<=> ( div2(1,2) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_546])]) ).
tff(f52099,plain,
( spl16_545
<=> ( 1 = div2(1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_545])]) ).
tff(f58818,plain,
( spl16_601
<=> ! [X80: $int,X78: $int,X79: $int] :
( ~ divides1(div2(1,2),$product(X80,X79))
| ~ prime1($product(X80,X79))
| $less(sK13(X78),0)
| ( gcd1(X79,sK13(X78)) = gcd1(X79,div2(X78,2)) )
| ~ odd1(X78)
| ( div2(1,2) = $product(X80,X79) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_601])]) ).
tff(f58578,plain,
! [X80: $int,X78: $int,X79: $int] :
( ~ divides1(div2(1,2),$product(X80,X79))
| ( div2(1,2) = $product(X80,X79) )
| ~ odd1(X78)
| ( 1 = div2(1,2) )
| ( gcd1(X79,sK13(X78)) = gcd1(X79,div2(X78,2)) )
| ( div2(1,2) = -1 )
| $less(sK13(X78),0)
| ~ prime1($product(X80,X79)) ),
inference(superposition,[],[f2004,f2387]) ).
tff(f57054,plain,
( ~ spl16_598
| ~ spl16_599
| spl16_600
| spl16_58 ),
inference(avatar_split_clause,[],[f57039,f2355,f57052,f57049,f57046]) ).
tff(f57046,plain,
( spl16_598
<=> divides1($remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_598])]) ).
tff(f57049,plain,
( spl16_599
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = $remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_599])]) ).
tff(f57052,plain,
( spl16_600
<=> $less($remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_600])]) ).
tff(f2355,plain,
( spl16_58
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_58])]) ).
tff(f57039,plain,
( $less($remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != $remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) )
| ~ divides1($remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),$sum($product(2,sK12),1))
| spl16_58 ),
inference(superposition,[],[f2356,f2214]) ).
tff(f2356,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) )
| spl16_58 ),
inference(avatar_component_clause,[],[f2355]) ).
tff(f57044,plain,
( ~ spl16_597
| spl16_87
| spl16_58 ),
inference(avatar_split_clause,[],[f57019,f2355,f4494,f57042]) ).
tff(f57042,plain,
( spl16_597
<=> ( gcd1($sum($product(2,sK12),1),$remainder_e($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_597])]) ).
tff(f4494,plain,
( spl16_87
<=> $less($uminus(sK12),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_87])]) ).
tff(f57019,plain,
( $less($uminus(sK12),0)
| ( gcd1($sum($product(2,sK12),1),$remainder_e($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_58 ),
inference(superposition,[],[f2356,f786]) ).
tff(f57017,plain,
( ~ spl16_596
| spl16_87
| spl16_53 ),
inference(avatar_split_clause,[],[f56976,f2336,f4494,f57015]) ).
tff(f57015,plain,
( spl16_596
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),mod2($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_596])]) ).
tff(f2336,plain,
( spl16_53
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
tff(f56976,plain,
( $less($uminus(sK12),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1))) )
| spl16_53 ),
inference(superposition,[],[f2337,f786]) ).
tff(f2337,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) )
| spl16_53 ),
inference(avatar_component_clause,[],[f2336]) ).
tff(f57013,plain,
( spl16_593
| ~ spl16_594
| ~ spl16_595
| spl16_53 ),
inference(avatar_split_clause,[],[f56998,f2336,f57011,f57008,f57005]) ).
tff(f57005,plain,
( spl16_593
<=> $less(mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_593])]) ).
tff(f57008,plain,
( spl16_594
<=> divides1(mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_594])]) ).
tff(f57011,plain,
( spl16_595
<=> ( mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_595])]) ).
tff(f56998,plain,
( ( mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ divides1(mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),$sum($product(2,sK12),1))
| $less(mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)),0)
| spl16_53 ),
inference(superposition,[],[f2337,f2214]) ).
tff(f57003,plain,
( spl16_148
| ~ spl16_149
| ~ spl16_592
| spl16_53 ),
inference(avatar_split_clause,[],[f56999,f2336,f57001,f7758,f7755]) ).
tff(f7758,plain,
( spl16_149
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = $sum($product(2,sK12),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_149])]) ).
tff(f57001,plain,
( spl16_592
<=> divides1($sum($product(2,sK12),1),mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_592])]) ).
tff(f56999,plain,
( ~ divides1($sum($product(2,sK12),1),mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)))
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != $sum($product(2,sK12),1) )
| $less($sum($product(2,sK12),1),0)
| spl16_53 ),
inference(superposition,[],[f2337,f2223]) ).
tff(f56698,plain,
( spl16_591
| spl16_362 ),
inference(avatar_split_clause,[],[f56653,f31178,f56696]) ).
tff(f56696,plain,
( spl16_591
<=> ! [X8: $int] :
( ~ even1(X8)
| $less(X8,0)
| ( div2(X8,2) = $sum(div2(X8,2),$uminus(div2(1,2))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_591])]) ).
tff(f56653,plain,
! [X8: $int] :
( $less(div2(1,2),0)
| ~ even1(X8)
| ( div2(X8,2) = $sum(div2(X8,2),$uminus(div2(1,2))) )
| $less(X8,0) ),
inference(evaluation,[],[f56553]) ).
tff(f56553,plain,
! [X8: $int] :
( ~ even1(X8)
| $less(1,0)
| $less(X8,0)
| ( div2($sum($sum(X8,1),$uminus(1)),2) = $sum(div2(X8,2),$uminus(div2(1,2))) )
| $less(div2(1,2),0)
| ( 0 = 2 )
| ~ $less(1,2) ),
inference(superposition,[],[f2564,f1813]) ).
tff(f1813,plain,
! [X3: $int,X4: $int] :
( ( $sum($product(X4,div2(X3,X4)),X3) = X3 )
| ~ $less(X3,X4)
| ( 0 = X4 )
| $less(X3,0) ),
inference(superposition,[],[f511,f537]) ).
tff(f537,plain,
! [X0: $int,X1: $int] :
( ( mod2(X1,X0) = X1 )
| $less(X1,0)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f412]) ).
tff(f412,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ( mod2(X1,X0) = X1 )
| ~ $less(X1,X0) ),
inference(rectify,[],[f315]) ).
tff(f315,plain,
! [X1: $int,X0: $int] :
( $less(X0,0)
| ( mod2(X0,X1) = X0 )
| ~ $less(X0,X1) ),
inference(flattening,[],[f314]) ).
tff(f314,plain,
! [X0: $int,X1: $int] :
( ( mod2(X0,X1) = X0 )
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f225]) ).
tff(f225,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,0)
& $less(X0,X1) )
=> ( mod2(X0,X1) = X0 ) ),
inference(rectify,[],[f137]) ).
tff(f137,plain,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( mod2(X1,X7) = X1 ) ),
inference(theory_normalization,[],[f23]) ).
tff(f23,axiom,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( mod2(X1,X7) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_inf) ).
tff(f2564,plain,
! [X2: $int,X3: $int] :
( ( div2($sum($sum(X2,1),$uminus($sum($product(2,X3),1))),2) = $sum(div2(X2,2),$uminus(X3)) )
| $less(X2,0)
| $less(X3,0)
| ~ even1(X2) ),
inference(subsumption_resolution,[],[f2534,f578]) ).
tff(f2534,plain,
! [X2: $int,X3: $int] :
( ( div2($sum($sum(X2,1),$uminus($sum($product(2,X3),1))),2) = $sum(div2(X2,2),$uminus(X3)) )
| ~ even1(X2)
| $less(X2,0)
| $less(X3,0)
| $less(div2(X2,2),0) ),
inference(superposition,[],[f491,f451]) ).
tff(f451,plain,
! [X0: $int] :
( ( $product(2,div2(X0,2)) = X0 )
| $less(X0,0)
| ~ even1(X0) ),
inference(cnf_transformation,[],[f365]) ).
tff(f365,plain,
! [X0: $int] :
( ( ( even1(X0)
| ( $product(2,div2(X0,2)) != X0 ) )
& ( ( $product(2,div2(X0,2)) = X0 )
| ~ even1(X0) ) )
| $less(X0,0) ),
inference(nnf_transformation,[],[f327]) ).
tff(f327,plain,
! [X0: $int] :
( ( even1(X0)
<=> ( $product(2,div2(X0,2)) = X0 ) )
| $less(X0,0) ),
inference(ennf_transformation,[],[f195]) ).
tff(f195,plain,
! [X0: $int] :
( ~ $less(X0,0)
=> ( even1(X0)
<=> ( $product(2,div2(X0,2)) = X0 ) ) ),
inference(rectify,[],[f126]) ).
tff(f126,plain,
! [X14: $int] :
( ~ $less(X14,0)
=> ( even1(X14)
<=> ( $product(2,div2(X14,2)) = X14 ) ) ),
inference(theory_normalization,[],[f95]) ).
tff(f95,axiom,
! [X14: $int] :
( $lesseq(0,X14)
=> ( even1(X14)
<=> ( $product(2,div2(X14,2)) = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even1) ).
tff(f491,plain,
! [X0: $int,X1: $int] :
( ( $sum(X1,$uminus(X0)) = div2($sum($sum($product(2,X1),1),$uminus($sum($product(2,X0),1))),2) )
| $less(X0,0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f343]) ).
tff(f343,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| $less(X1,0)
| ( $sum(X1,$uminus(X0)) = div2($sum($sum($product(2,X1),1),$uminus($sum($product(2,X0),1))),2) ) ),
inference(flattening,[],[f342]) ).
tff(f342,plain,
! [X1: $int,X0: $int] :
( ( $sum(X1,$uminus(X0)) = div2($sum($sum($product(2,X1),1),$uminus($sum($product(2,X0),1))),2) )
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f242]) ).
tff(f242,plain,
! [X1: $int,X0: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( $sum(X1,$uminus(X0)) = div2($sum($sum($product(2,X1),1),$uminus($sum($product(2,X0),1))),2) ) ) ),
inference(rectify,[],[f146]) ).
tff(f146,plain,
! [X21: $int,X6: $int] :
( ~ $less(X21,0)
=> ( ~ $less(X6,0)
=> ( $sum(X6,$uminus(X21)) = div2($sum($sum($product(2,X6),1),$uminus($sum($product(2,X21),1))),2) ) ) ),
inference(theory_normalization,[],[f114]) ).
tff(f114,axiom,
! [X21: $int,X6: $int] :
( $lesseq(0,X21)
=> ( $lesseq(0,X6)
=> ( div2($difference($sum($product(2,X6),1),$sum($product(2,X21),1)),2) = $difference(X6,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_odd_div2) ).
tff(f56528,plain,
( spl16_362
| spl16_590 ),
inference(avatar_split_clause,[],[f56499,f56526,f31178]) ).
tff(f56526,plain,
( spl16_590
<=> ! [X8: $int] :
( ~ $less(abs1($product(2,X8)),abs1($product($sum(X8,$uminus(div2(1,2))),2)))
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_590])]) ).
tff(f56499,plain,
! [X8: $int] :
( ~ $less(abs1($product(2,X8)),abs1($product($sum(X8,$uminus(div2(1,2))),2)))
| $less(div2(1,2),0)
| $less(X8,0) ),
inference(evaluation,[],[f56469]) ).
tff(f56469,plain,
! [X8: $int] :
( $less(1,0)
| $less(X8,0)
| ( 0 = 2 )
| ~ $less(abs1($sum($sum($product(2,X8),1),$uminus(1))),abs1($product($sum(X8,$uminus(div2(1,2))),2)))
| $less(div2(1,2),0)
| ~ $less(1,2) ),
inference(superposition,[],[f2562,f1813]) ).
tff(f2562,plain,
! [X16: $int,X15: $int] :
( ~ $less(abs1($sum($sum($product(2,X15),1),$uminus($sum($product(2,X16),1)))),abs1($product($sum(X15,$uminus(X16)),2)))
| $less(X16,0)
| $less(X15,0) ),
inference(evaluation,[],[f2554]) ).
tff(f2554,plain,
! [X16: $int,X15: $int] :
( ( 0 = 2 )
| ~ $less(abs1($sum($sum($product(2,X15),1),$uminus($sum($product(2,X16),1)))),abs1($product($sum(X15,$uminus(X16)),2)))
| $less(X15,0)
| $less(X16,0) ),
inference(superposition,[],[f544,f491]) ).
tff(f544,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f277]) ).
tff(f277,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(ennf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0: $int,X1: $int] :
( ( 0 != X0 )
=> ~ $less(abs1(X1),abs1($product(div2(X1,X0),X0))) ),
inference(rectify,[],[f138]) ).
tff(f138,plain,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> ~ $less(abs1(X1),abs1($product(div2(X1,X7),X7))) ),
inference(theory_normalization,[],[f19]) ).
tff(f19,axiom,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> $lesseq(abs1($product(div2(X1,X7),X7)),abs1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rounds_toward_zero) ).
tff(f56520,plain,
( spl16_589
| spl16_362 ),
inference(avatar_split_clause,[],[f56503,f31178,f56518]) ).
tff(f56518,plain,
( spl16_589
<=> ! [X8: $int] :
( ~ $less(abs1($sum(1,$uminus($sum($product(2,X8),1)))),abs1($product($sum(div2(1,2),$uminus(X8)),2)))
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_589])]) ).
tff(f56503,plain,
! [X8: $int] :
( $less(div2(1,2),0)
| ~ $less(abs1($sum(1,$uminus($sum($product(2,X8),1)))),abs1($product($sum(div2(1,2),$uminus(X8)),2)))
| $less(X8,0) ),
inference(evaluation,[],[f56454]) ).
tff(f56454,plain,
! [X8: $int] :
( $less(1,0)
| $less(X8,0)
| ( 0 = 2 )
| ~ $less(abs1($sum(1,$uminus($sum($product(2,X8),1)))),abs1($product($sum(div2(1,2),$uminus(X8)),2)))
| $less(div2(1,2),0)
| ~ $less(1,2) ),
inference(superposition,[],[f2562,f1813]) ).
tff(f56226,plain,
( ~ spl16_588
| spl16_78
| ~ spl16_571 ),
inference(avatar_split_clause,[],[f56222,f54468,f3221,f56224]) ).
tff(f56224,plain,
( spl16_588
<=> even1($product(-1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_588])]) ).
tff(f3221,plain,
( spl16_78
<=> divides1(2,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_78])]) ).
tff(f54468,plain,
( spl16_571
<=> divides1($product(-1,abs1(-1)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_571])]) ).
tff(f56222,plain,
( ~ even1($product(-1,abs1(-1)))
| spl16_78
| ~ spl16_571 ),
inference(subsumption_resolution,[],[f56209,f5290]) ).
tff(f5290,plain,
( ~ divides1(2,-1)
| spl16_78 ),
inference(avatar_component_clause,[],[f3221]) ).
tff(f56209,plain,
( divides1(2,-1)
| ~ even1($product(-1,abs1(-1)))
| ~ spl16_571 ),
inference(resolution,[],[f54469,f834]) ).
tff(f834,plain,
! [X32: $int,X33: $int] :
( ~ divides1(X33,X32)
| ~ even1(X33)
| divides1(2,X32) ),
inference(resolution,[],[f474,f519]) ).
tff(f474,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ divides1(X1,X0)
| divides1(X1,X2)
| ~ divides1(X0,X2) ),
inference(cnf_transformation,[],[f382]) ).
tff(f382,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X1,X2)
| ~ divides1(X1,X0)
| ~ divides1(X0,X2) ),
inference(rectify,[],[f310]) ).
tff(f310,plain,
! [X2: $int,X1: $int,X0: $int] :
( divides1(X1,X0)
| ~ divides1(X1,X2)
| ~ divides1(X2,X0) ),
inference(flattening,[],[f309]) ).
tff(f309,plain,
! [X2: $int,X1: $int,X0: $int] :
( divides1(X1,X0)
| ~ divides1(X2,X0)
| ~ divides1(X1,X2) ),
inference(ennf_transformation,[],[f177]) ).
tff(f177,plain,
! [X2: $int,X1: $int,X0: $int] :
( divides1(X1,X2)
=> ( divides1(X2,X0)
=> divides1(X1,X0) ) ),
inference(rectify,[],[f71]) ).
tff(f71,axiom,
! [X19: $int,X0: $int,X18: $int] :
( divides1(X0,X18)
=> ( divides1(X18,X19)
=> divides1(X0,X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_trans) ).
tff(f54469,plain,
( divides1($product(-1,abs1(-1)),-1)
| ~ spl16_571 ),
inference(avatar_component_clause,[],[f54468]) ).
tff(f56221,plain,
( ~ spl16_587
| ~ spl16_96
| ~ spl16_571 ),
inference(avatar_split_clause,[],[f56202,f54468,f5158,f56219]) ).
tff(f56219,plain,
( spl16_587
<=> $less(1,$product(-1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_587])]) ).
tff(f5158,plain,
( spl16_96
<=> ( 1 = abs1(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_96])]) ).
tff(f56202,plain,
( ~ $less(1,$product(-1,abs1(-1)))
| ~ spl16_96
| ~ spl16_571 ),
inference(resolution,[],[f54469,f5202]) ).
tff(f5202,plain,
( ! [X13: $int] :
( ~ divides1(X13,-1)
| ~ $less(1,X13) )
| ~ spl16_96 ),
inference(evaluation,[],[f5191]) ).
tff(f5191,plain,
( ! [X13: $int] :
( ( 0 = -1 )
| ~ divides1(X13,-1)
| ~ $less(1,X13) )
| ~ spl16_96 ),
inference(superposition,[],[f1118,f5159]) ).
tff(f5159,plain,
( ( 1 = abs1(-1) )
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f5158]) ).
tff(f1118,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),X1)
| ( 0 = X0 )
| ~ divides1(X1,X0) ),
inference(resolution,[],[f493,f514]) ).
tff(f514,plain,
! [X0: $int,X1: $int] :
( $less(X0,abs1(X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f399]) ).
tff(f399,plain,
! [X0: $int,X1: $int] :
( ( ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) )
| $less(X0,abs1(X1)) )
& ( ~ $less(X0,abs1(X1))
| $less(X0,X1)
| $less(X1,$uminus(X0)) ) ),
inference(rectify,[],[f398]) ).
tff(f398,plain,
! [X1: $int,X0: $int] :
( ( ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) )
| $less(X1,abs1(X0)) )
& ( ~ $less(X1,abs1(X0))
| $less(X1,X0)
| $less(X0,$uminus(X1)) ) ),
inference(flattening,[],[f397]) ).
tff(f397,plain,
! [X1: $int,X0: $int] :
( ( ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) )
| $less(X1,abs1(X0)) )
& ( ~ $less(X1,abs1(X0))
| $less(X1,X0)
| $less(X0,$uminus(X1)) ) ),
inference(nnf_transformation,[],[f211]) ).
tff(f211,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,X0)
& ~ $less(X0,$uminus(X1)) )
<=> ~ $less(X1,abs1(X0)) ),
inference(rectify,[],[f131]) ).
tff(f131,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(X7,X1)
& ~ $less(X1,$uminus(X7)) )
<=> ~ $less(X7,abs1(X1)) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(X1,X7)
& $lesseq($uminus(X7),X1) )
<=> $lesseq(abs1(X1),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le) ).
tff(f493,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),abs1(X1))
| ( 0 = X0 )
| ~ divides1(X1,X0) ),
inference(cnf_transformation,[],[f351]) ).
tff(f351,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ divides1(X1,X0)
| ~ $less(abs1(X0),abs1(X1)) ),
inference(flattening,[],[f350]) ).
tff(f350,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X0),abs1(X1))
| ( 0 = X0 )
| ~ divides1(X1,X0) ),
inference(ennf_transformation,[],[f238]) ).
tff(f238,plain,
! [X0: $int,X1: $int] :
( divides1(X1,X0)
=> ( ( 0 != X0 )
=> ~ $less(abs1(X0),abs1(X1)) ) ),
inference(rectify,[],[f143]) ).
tff(f143,plain,
! [X18: $int,X0: $int] :
( divides1(X0,X18)
=> ( ( 0 != X18 )
=> ~ $less(abs1(X18),abs1(X0)) ) ),
inference(theory_normalization,[],[f72]) ).
tff(f72,axiom,
! [X18: $int,X0: $int] :
( divides1(X0,X18)
=> ( ( 0 != X18 )
=> $lesseq(abs1(X0),abs1(X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_bounds) ).
tff(f56217,plain,
( spl16_586
| spl16_78
| ~ spl16_571 ),
inference(avatar_split_clause,[],[f56213,f54468,f3221,f56215]) ).
tff(f56215,plain,
( spl16_586
<=> odd1($product(-1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_586])]) ).
tff(f56213,plain,
( odd1($product(-1,abs1(-1)))
| spl16_78
| ~ spl16_571 ),
inference(subsumption_resolution,[],[f56208,f5290]) ).
tff(f56208,plain,
( odd1($product(-1,abs1(-1)))
| divides1(2,-1)
| ~ spl16_571 ),
inference(resolution,[],[f54469,f833]) ).
tff(f833,plain,
! [X31: $int,X30: $int] :
( ~ divides1(X31,X30)
| divides1(2,X30)
| odd1(X31) ),
inference(resolution,[],[f474,f534]) ).
tff(f534,plain,
! [X0: $int] :
( divides1(2,X0)
| odd1(X0) ),
inference(cnf_transformation,[],[f411]) ).
tff(f56186,plain,
( spl16_362
| spl16_585 ),
inference(avatar_split_clause,[],[f56162,f56184,f31178]) ).
tff(f56184,plain,
( spl16_585
<=> ! [X8: $int] :
( ~ even1(X8)
| $less(sK14(X8),0)
| ( $sum(sK14(X8),$uminus(div2(1,2))) = div2(X8,2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_585])]) ).
tff(f56162,plain,
! [X8: $int] :
( ~ even1(X8)
| ( $sum(sK14(X8),$uminus(div2(1,2))) = div2(X8,2) )
| $less(sK14(X8),0)
| $less(div2(1,2),0) ),
inference(evaluation,[],[f56062]) ).
tff(f56062,plain,
! [X8: $int] :
( ( 0 = 2 )
| $less(sK14(X8),0)
| ( div2($sum($sum(X8,1),$uminus(1)),2) = $sum(sK14(X8),$uminus(div2(1,2))) )
| $less(1,0)
| ~ even1(X8)
| ~ $less(1,2)
| $less(div2(1,2),0) ),
inference(superposition,[],[f2533,f1813]) ).
tff(f2533,plain,
! [X0: $int,X1: $int] :
( ( $sum(sK14(X0),$uminus(X1)) = div2($sum($sum(X0,1),$uminus($sum($product(2,X1),1))),2) )
| $less(X1,0)
| $less(sK14(X0),0)
| ~ even1(X0) ),
inference(superposition,[],[f491,f599]) ).
tff(f599,plain,
! [X0: $int] :
( ( $product(2,sK14(X0)) = X0 )
| ~ even1(X0) ),
inference(cnf_transformation,[],[f448]) ).
tff(f448,plain,
! [X0: $int] :
( ( ( $product(2,sK14(X0)) = X0 )
| ~ even1(X0) )
& ( even1(X0)
| ! [X2: $int] : ( $product(2,X2) != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f446,f447]) ).
tff(f447,plain,
! [X0: $int] :
( ? [X1: $int] : ( $product(2,X1) = X0 )
=> ( $product(2,sK14(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f446,plain,
! [X0: $int] :
( ( ? [X1: $int] : ( $product(2,X1) = X0 )
| ~ even1(X0) )
& ( even1(X0)
| ! [X2: $int] : ( $product(2,X2) != X0 ) ) ),
inference(rectify,[],[f445]) ).
tff(f445,plain,
! [X0: $int] :
( ( ? [X1: $int] : ( $product(2,X1) = X0 )
| ~ even1(X0) )
& ( even1(X0)
| ! [X1: $int] : ( $product(2,X1) != X0 ) ) ),
inference(nnf_transformation,[],[f192]) ).
tff(f192,plain,
! [X0: $int] :
( ? [X1: $int] : ( $product(2,X1) = X0 )
<=> even1(X0) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X14: $int] :
( even1(X14)
<=> ? [X15: $int] : ( $product(2,X15) = X14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_def) ).
tff(f55999,plain,
( ~ spl16_584
| spl16_78
| ~ spl16_569 ),
inference(avatar_split_clause,[],[f55995,f54460,f3221,f55997]) ).
tff(f55997,plain,
( spl16_584
<=> even1($product(-1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_584])]) ).
tff(f54460,plain,
( spl16_569
<=> divides1($product(-1,abs1(1)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_569])]) ).
tff(f55995,plain,
( ~ even1($product(-1,abs1(1)))
| spl16_78
| ~ spl16_569 ),
inference(subsumption_resolution,[],[f55981,f5290]) ).
tff(f55981,plain,
( divides1(2,-1)
| ~ even1($product(-1,abs1(1)))
| ~ spl16_569 ),
inference(resolution,[],[f54461,f834]) ).
tff(f54461,plain,
( divides1($product(-1,abs1(1)),-1)
| ~ spl16_569 ),
inference(avatar_component_clause,[],[f54460]) ).
tff(f55994,plain,
( ~ spl16_583
| ~ spl16_96
| ~ spl16_569 ),
inference(avatar_split_clause,[],[f55974,f54460,f5158,f55992]) ).
tff(f55992,plain,
( spl16_583
<=> $less(1,$product(-1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_583])]) ).
tff(f55974,plain,
( ~ $less(1,$product(-1,abs1(1)))
| ~ spl16_96
| ~ spl16_569 ),
inference(resolution,[],[f54461,f5202]) ).
tff(f55990,plain,
( spl16_582
| spl16_78
| ~ spl16_569 ),
inference(avatar_split_clause,[],[f55986,f54460,f3221,f55988]) ).
tff(f55988,plain,
( spl16_582
<=> odd1($product(-1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_582])]) ).
tff(f55986,plain,
( odd1($product(-1,abs1(1)))
| spl16_78
| ~ spl16_569 ),
inference(subsumption_resolution,[],[f55980,f5290]) ).
tff(f55980,plain,
( divides1(2,-1)
| odd1($product(-1,abs1(1)))
| ~ spl16_569 ),
inference(resolution,[],[f54461,f833]) ).
tff(f55941,plain,
( ~ spl16_581
| spl16_34 ),
inference(avatar_split_clause,[],[f55911,f1351,f55939]) ).
tff(f55939,plain,
( spl16_581
<=> even1($product(abs1(-1),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_581])]) ).
tff(f1351,plain,
( spl16_34
<=> ! [X4: $int] : divides1(2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
tff(f55911,plain,
! [X11: $int] :
( divides1(2,X11)
| ~ even1($product(abs1(-1),-1)) ),
inference(resolution,[],[f54347,f834]) ).
tff(f54347,plain,
! [X38: $int] : divides1($product(abs1(-1),-1),X38),
inference(resolution,[],[f14618,f4690]) ).
tff(f4690,plain,
! [X2: $int,X1: $int] :
( ~ divides1(X1,-1)
| divides1(X1,X2) ),
inference(resolution,[],[f4663,f1202]) ).
tff(f1202,plain,
! [X8: $int,X9: $int,X7: $int] :
( ~ coprime1(X7,X9)
| divides1(X7,X8)
| ~ divides1(X7,X9) ),
inference(resolution,[],[f546,f470]) ).
tff(f470,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,$product(X0,X2))
| ~ divides1(X1,X0) ),
inference(cnf_transformation,[],[f380]) ).
tff(f380,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X1,X0)
| divides1(X1,$product(X0,X2)) ),
inference(rectify,[],[f306]) ).
tff(f306,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ divides1(X1,X2)
| divides1(X1,$product(X2,X0)) ),
inference(ennf_transformation,[],[f247]) ).
tff(f247,plain,
! [X2: $int,X1: $int,X0: $int] :
( divides1(X1,X2)
=> divides1(X1,$product(X2,X0)) ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X19: $int,X0: $int,X18: $int] :
( divides1(X0,X18)
=> divides1(X0,$product(X18,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_multr) ).
tff(f546,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ divides1(X0,$product(X2,X1))
| divides1(X0,X1)
| ~ coprime1(X0,X2) ),
inference(cnf_transformation,[],[f415]) ).
tff(f415,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X0,$product(X2,X1))
| ~ coprime1(X0,X2)
| divides1(X0,X1) ),
inference(rectify,[],[f326]) ).
tff(f326,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ divides1(X2,$product(X1,X0))
| ~ coprime1(X2,X1)
| divides1(X2,X0) ),
inference(flattening,[],[f325]) ).
tff(f325,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X2,X0)
| ~ coprime1(X2,X1)
| ~ divides1(X2,$product(X1,X0)) ),
inference(ennf_transformation,[],[f251]) ).
tff(f251,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( coprime1(X2,X1)
& divides1(X2,$product(X1,X0)) )
=> divides1(X2,X0) ),
inference(rectify,[],[f108]) ).
tff(f108,axiom,
! [X19: $int,X18: $int,X0: $int] :
( ( coprime1(X0,X18)
& divides1(X0,$product(X18,X19)) )
=> divides1(X0,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss) ).
tff(f4663,plain,
! [X12: $int] : coprime1(X12,-1),
inference(trivial_inequality_removal,[],[f4641]) ).
tff(f4641,plain,
! [X12: $int] :
( ( 1 != 1 )
| coprime1(X12,-1) ),
inference(superposition,[],[f558,f4300]) ).
tff(f4300,plain,
! [X6: $int] : ( 1 = gcd1(X6,-1) ),
inference(evaluation,[],[f4239]) ).
tff(f4239,plain,
! [X6: $int] : ( 1 = gcd1(X6,$uminus(1)) ),
inference(superposition,[],[f3063,f754]) ).
tff(f754,plain,
! [X2: $int,X3: $int] : ( gcd1(X2,X3) = gcd1(X3,$uminus(X2)) ),
inference(superposition,[],[f520,f473]) ).
tff(f3063,plain,
! [X4: $int] : ( 1 = gcd1(1,X4) ),
inference(superposition,[],[f520,f2670]) ).
tff(f2670,plain,
! [X0: $int] : ( 1 = gcd1(X0,1) ),
inference(evaluation,[],[f2645]) ).
tff(f2645,plain,
! [X0: $int] :
( ( 1 = gcd1(X0,1) )
| $less(1,0) ),
inference(superposition,[],[f565,f1597]) ).
tff(f1597,plain,
! [X0: $int] : ( gcd1(X0,1) = gcd1(1,0) ),
inference(evaluation,[],[f1554]) ).
tff(f1554,plain,
! [X0: $int] :
( ( gcd1(X0,1) = gcd1(1,0) )
| ( 0 = 1 ) ),
inference(superposition,[],[f545,f543]) ).
tff(f543,plain,
! [X0: $int] : ( 0 = mod2(X0,1) ),
inference(cnf_transformation,[],[f230]) ).
tff(f230,plain,
! [X0: $int] : ( 0 = mod2(X0,1) ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X1: $int] : ( 0 = mod2(X1,1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_1) ).
tff(f558,plain,
! [X0: $int,X1: $int] :
( ( 1 != gcd1(X0,X1) )
| coprime1(X0,X1) ),
inference(cnf_transformation,[],[f426]) ).
tff(f426,plain,
! [X0: $int,X1: $int] :
( ( ( 1 = gcd1(X0,X1) )
| ~ coprime1(X0,X1) )
& ( coprime1(X0,X1)
| ( 1 != gcd1(X0,X1) ) ) ),
inference(rectify,[],[f425]) ).
tff(f425,plain,
! [X1: $int,X0: $int] :
( ( ( 1 = gcd1(X1,X0) )
| ~ coprime1(X1,X0) )
& ( coprime1(X1,X0)
| ( 1 != gcd1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X1: $int,X0: $int] :
( ( 1 = gcd1(X1,X0) )
<=> coprime1(X1,X0) ),
inference(rectify,[],[f98]) ).
tff(f98,axiom,
! [X18: $int,X0: $int] :
( ( 1 = gcd1(X0,X18) )
<=> coprime1(X0,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coprime_def) ).
tff(f14618,plain,
! [X8: $int] : divides1($product(abs1(-1),X8),X8),
inference(resolution,[],[f14456,f1205]) ).
tff(f1205,plain,
! [X14: $int,X15: $int] :
( ~ coprime1($product(X14,X15),X14)
| divides1($product(X14,X15),X15) ),
inference(resolution,[],[f546,f566]) ).
tff(f14456,plain,
! [X6: $int] : coprime1(X6,abs1(-1)),
inference(resolution,[],[f2911,f9820]) ).
tff(f9820,plain,
! [X24: $int] : coprime1(abs1(-1),X24),
inference(evaluation,[],[f9799]) ).
tff(f9799,plain,
! [X24: $int] :
( ~ $less(-1,0)
| coprime1(abs1(-1),X24) ),
inference(superposition,[],[f9494,f882]) ).
tff(f882,plain,
! [X12: $int] :
( ( abs1(X12) = gcd1(X12,0) )
| ~ $less(X12,0) ),
inference(duplicate_literal_removal,[],[f870]) ).
tff(f870,plain,
! [X12: $int] :
( ~ $less(X12,0)
| ( abs1(X12) = gcd1(X12,0) )
| ~ $less(X12,0) ),
inference(superposition,[],[f584,f562]) ).
tff(f562,plain,
! [X0: $int] :
( ( $uminus(X0) = gcd1(X0,0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f352]) ).
tff(f352,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ( $uminus(X0) = gcd1(X0,0) ) ),
inference(ennf_transformation,[],[f89]) ).
tff(f89,axiom,
! [X0: $int] :
( $less(X0,0)
=> ( $uminus(X0) = gcd1(X0,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_0_neg) ).
tff(f9494,plain,
! [X26: $int,X27: $int] : coprime1(gcd1(-1,X26),X27),
inference(trivial_inequality_removal,[],[f9472]) ).
tff(f9472,plain,
! [X26: $int,X27: $int] :
( ( 1 != 1 )
| coprime1(gcd1(-1,X26),X27) ),
inference(superposition,[],[f1251,f4636]) ).
tff(f4636,plain,
! [X5: $int] : ( 1 = gcd1(-1,X5) ),
inference(superposition,[],[f520,f4300]) ).
tff(f1251,plain,
! [X10: $int,X11: $int,X9: $int] :
( ( 1 != gcd1(X9,gcd1(X10,X11)) )
| coprime1(gcd1(X9,X10),X11) ),
inference(superposition,[],[f558,f547]) ).
tff(f547,plain,
! [X2: $int,X0: $int,X1: $int] : ( gcd1(X1,gcd1(X0,X2)) = gcd1(gcd1(X1,X0),X2) ),
inference(cnf_transformation,[],[f416]) ).
tff(f416,plain,
! [X0: $int,X1: $int,X2: $int] : ( gcd1(X1,gcd1(X0,X2)) = gcd1(gcd1(X1,X0),X2) ),
inference(rectify,[],[f226]) ).
tff(f226,plain,
! [X0: $int,X2: $int,X1: $int] : ( gcd1(X2,gcd1(X0,X1)) = gcd1(gcd1(X2,X0),X1) ),
inference(rectify,[],[f86]) ).
tff(f86,axiom,
! [X7: $int,X4: $int,X1: $int] : ( gcd1(gcd1(X1,X7),X4) = gcd1(X1,gcd1(X7,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assoc2) ).
tff(f2911,plain,
! [X6: $int,X7: $int] :
( ~ coprime1(X6,X7)
| coprime1(X7,X6) ),
inference(trivial_inequality_removal,[],[f2894]) ).
tff(f2894,plain,
! [X6: $int,X7: $int] :
( ( 1 != 1 )
| ~ coprime1(X6,X7)
| coprime1(X7,X6) ),
inference(superposition,[],[f762,f559]) ).
tff(f559,plain,
! [X0: $int,X1: $int] :
( ( 1 = gcd1(X0,X1) )
| ~ coprime1(X0,X1) ),
inference(cnf_transformation,[],[f426]) ).
tff(f762,plain,
! [X0: $int,X1: $int] :
( ( 1 != gcd1(X1,X0) )
| coprime1(X0,X1) ),
inference(superposition,[],[f558,f520]) ).
tff(f55937,plain,
( spl16_34
| spl16_580 ),
inference(avatar_split_clause,[],[f55910,f55935,f1351]) ).
tff(f55935,plain,
( spl16_580
<=> odd1($product(abs1(-1),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_580])]) ).
tff(f55910,plain,
! [X10: $int] :
( odd1($product(abs1(-1),-1))
| divides1(2,X10) ),
inference(resolution,[],[f54347,f833]) ).
tff(f55878,plain,
( spl16_579
| spl16_34
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f55847,f2687,f1351,f55876]) ).
tff(f55876,plain,
( spl16_579
<=> odd1($product(abs1(-1),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_579])]) ).
tff(f2687,plain,
( spl16_68
<=> ! [X9: $int] : coprime1(X9,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).
tff(f55847,plain,
( ! [X10: $int] :
( divides1(2,X10)
| odd1($product(abs1(-1),1)) )
| ~ spl16_68 ),
inference(resolution,[],[f54339,f833]) ).
tff(f54339,plain,
( ! [X30: $int] : divides1($product(abs1(-1),1),X30)
| ~ spl16_68 ),
inference(resolution,[],[f14618,f4161]) ).
tff(f4161,plain,
( ! [X3: $int,X4: $int] :
( ~ divides1(X3,1)
| divides1(X3,X4) )
| ~ spl16_68 ),
inference(resolution,[],[f1202,f2688]) ).
tff(f2688,plain,
( ! [X9: $int] : coprime1(X9,1)
| ~ spl16_68 ),
inference(avatar_component_clause,[],[f2687]) ).
tff(f55874,plain,
( ~ spl16_578
| spl16_34
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f55848,f2687,f1351,f55872]) ).
tff(f55872,plain,
( spl16_578
<=> even1($product(abs1(-1),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_578])]) ).
tff(f55848,plain,
( ! [X11: $int] :
( divides1(2,X11)
| ~ even1($product(abs1(-1),1)) )
| ~ spl16_68 ),
inference(resolution,[],[f54339,f834]) ).
tff(f55716,plain,
( spl16_362
| spl16_577 ),
inference(avatar_split_clause,[],[f55712,f55714,f31178]) ).
tff(f55714,plain,
( spl16_577
<=> ! [X13: $int,X12: $int] :
( divides1(X12,gcd1(X13,1))
| ~ divides1(X12,$product(2,X13))
| $less(X13,0)
| ~ divides1(X12,$sum($product(2,div2(1,2)),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_577])]) ).
tff(f55712,plain,
! [X12: $int,X13: $int] :
( divides1(X12,gcd1(X13,1))
| ~ divides1(X12,$sum($product(2,div2(1,2)),1))
| $less(X13,0)
| $less(div2(1,2),0)
| ~ divides1(X12,$product(2,X13)) ),
inference(evaluation,[],[f55615]) ).
tff(f55615,plain,
! [X12: $int,X13: $int] :
( ~ $less(1,2)
| divides1(X12,gcd1(X13,1))
| $less(X13,0)
| ( 0 = 2 )
| ~ divides1(X12,$sum($product(2,div2(1,2)),1))
| ~ divides1(X12,$product(2,X13))
| $less(1,0)
| $less(div2(1,2),0) ),
inference(superposition,[],[f2473,f1813]) ).
tff(f2473,plain,
! [X14: $int,X15: $int,X13: $int] :
( divides1(X15,gcd1(X13,$sum($product(2,X14),1)))
| ~ divides1(X15,$product(2,X13))
| $less(X14,0)
| ~ divides1(X15,$sum($product(2,X14),1))
| $less(X13,0) ),
inference(superposition,[],[f553,f508]) ).
tff(f553,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X2,gcd1(X0,X1))
| ~ divides1(X2,X0)
| ~ divides1(X2,X1) ),
inference(cnf_transformation,[],[f422]) ).
tff(f422,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X2,X0)
| ~ divides1(X2,X1)
| divides1(X2,gcd1(X0,X1)) ),
inference(rectify,[],[f364]) ).
tff(f364,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ divides1(X0,X1)
| ~ divides1(X0,X2)
| divides1(X0,gcd1(X1,X2)) ),
inference(flattening,[],[f363]) ).
tff(f363,plain,
! [X0: $int,X2: $int,X1: $int] :
( divides1(X0,gcd1(X1,X2))
| ~ divides1(X0,X2)
| ~ divides1(X0,X1) ),
inference(ennf_transformation,[],[f210]) ).
tff(f210,plain,
! [X0: $int,X2: $int,X1: $int] :
( divides1(X0,X1)
=> ( divides1(X0,X2)
=> divides1(X0,gcd1(X1,X2)) ) ),
inference(rectify,[],[f84]) ).
tff(f84,axiom,
! [X1: $int,X0: $int,X18: $int] :
( divides1(X1,X0)
=> ( divides1(X1,X18)
=> divides1(X1,gcd1(X0,X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_def3) ).
tff(f55491,plain,
( ~ spl16_576
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f55487,f3271,f55489]) ).
tff(f55489,plain,
( spl16_576
<=> divides1(2,$uminus(abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_576])]) ).
tff(f3271,plain,
( spl16_80
<=> ! [X57: $int] : ~ even1(gcd1(X57,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_80])]) ).
tff(f55487,plain,
( ~ divides1(2,$uminus(abs1(-1)))
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f55465,f52181]) ).
tff(f52181,plain,
! [X2: $int,X3: $int] :
( ~ divides1(X2,$uminus(abs1(-1)))
| divides1(X2,X3) ),
inference(resolution,[],[f52111,f1202]) ).
tff(f52111,plain,
! [X1: $int] : coprime1(X1,$uminus(abs1(-1))),
inference(resolution,[],[f51450,f2911]) ).
tff(f51450,plain,
! [X19: $int] : coprime1($uminus(abs1(-1)),X19),
inference(trivial_inequality_removal,[],[f51357]) ).
tff(f51357,plain,
! [X19: $int] :
( ( 1 != 1 )
| coprime1($uminus(abs1(-1)),X19) ),
inference(superposition,[],[f764,f12416]) ).
tff(f12416,plain,
! [X1: $int] : ( 1 = gcd1(abs1(-1),X1) ),
inference(subsumption_resolution,[],[f12402,f9820]) ).
tff(f12402,plain,
! [X0: $int,X1: $int] :
( ( 1 = gcd1(abs1(-1),X1) )
| ~ coprime1(abs1(-1),X0) ),
inference(resolution,[],[f1460,f9820]) ).
tff(f1460,plain,
! [X3: $int,X4: $int,X5: $int] :
( ~ coprime1(X3,$product(X4,X5))
| ~ coprime1(X3,X4)
| ( 1 = gcd1(X3,X5) ) ),
inference(superposition,[],[f460,f559]) ).
tff(f460,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( gcd1(X2,X1) = gcd1(X2,$product(X0,X1)) )
| ~ coprime1(X2,X0) ),
inference(cnf_transformation,[],[f372]) ).
tff(f372,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ coprime1(X2,X0)
| ( gcd1(X2,X1) = gcd1(X2,$product(X0,X1)) ) ),
inference(rectify,[],[f360]) ).
tff(f360,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ coprime1(X1,X0)
| ( gcd1(X1,$product(X0,X2)) = gcd1(X1,X2) ) ),
inference(ennf_transformation,[],[f174]) ).
tff(f174,plain,
! [X2: $int,X0: $int,X1: $int] :
( coprime1(X1,X0)
=> ( gcd1(X1,$product(X0,X2)) = gcd1(X1,X2) ) ),
inference(rectify,[],[f110]) ).
tff(f110,axiom,
! [X18: $int,X0: $int,X19: $int] :
( coprime1(X0,X18)
=> ( gcd1(X0,$product(X18,X19)) = gcd1(X0,X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_coprime) ).
tff(f764,plain,
! [X4: $int,X5: $int] :
( ( 1 != gcd1(X4,X5) )
| coprime1($uminus(X4),X5) ),
inference(superposition,[],[f558,f473]) ).
tff(f55465,plain,
( ! [X0: $int] :
( ~ divides1(2,X0)
| ~ divides1(2,$uminus(abs1(-1))) )
| ~ spl16_80 ),
inference(resolution,[],[f43615,f1329]) ).
tff(f1329,plain,
! [X16: $int,X17: $int] :
( even1(gcd1(X16,X17))
| ~ divides1(2,X17)
| ~ divides1(2,X16) ),
inference(resolution,[],[f553,f518]) ).
tff(f43615,plain,
( ! [X6: $int] : ~ even1(gcd1(X6,$uminus(abs1(-1))))
| ~ spl16_80 ),
inference(superposition,[],[f42100,f754]) ).
tff(f42100,plain,
( ! [X3: $int] : ~ even1(gcd1(abs1(-1),X3))
| ~ spl16_80 ),
inference(superposition,[],[f35783,f520]) ).
tff(f35783,plain,
( ! [X28: $int] : ~ even1(gcd1(X28,abs1(-1)))
| ~ spl16_80 ),
inference(evaluation,[],[f35718]) ).
tff(f35718,plain,
( ! [X28: $int] :
( ~ $less(-1,0)
| ~ even1(gcd1(X28,abs1(-1))) )
| ~ spl16_80 ),
inference(superposition,[],[f6960,f882]) ).
tff(f6960,plain,
( ! [X32: $int,X33: $int] : ~ even1(gcd1(X33,gcd1(-1,X32)))
| ~ spl16_80 ),
inference(superposition,[],[f3678,f1246]) ).
tff(f1246,plain,
! [X8: $int,X6: $int,X7: $int] : ( gcd1(X6,gcd1(X7,X8)) = gcd1(X8,gcd1(X6,X7)) ),
inference(superposition,[],[f547,f520]) ).
tff(f3678,plain,
( ! [X1: $int] : ~ even1(gcd1(-1,X1))
| ~ spl16_80 ),
inference(superposition,[],[f3650,f520]) ).
tff(f3650,plain,
( ! [X5: $int] : ~ even1(gcd1(X5,-1))
| ~ spl16_80 ),
inference(evaluation,[],[f3635]) ).
tff(f3635,plain,
( ! [X5: $int] : ~ even1(gcd1(X5,$uminus(1)))
| ~ spl16_80 ),
inference(superposition,[],[f3424,f754]) ).
tff(f3424,plain,
( ! [X3: $int] : ~ even1(gcd1(1,X3))
| ~ spl16_80 ),
inference(superposition,[],[f3272,f520]) ).
tff(f3272,plain,
( ! [X57: $int] : ~ even1(gcd1(X57,1))
| ~ spl16_80 ),
inference(avatar_component_clause,[],[f3271]) ).
tff(f55415,plain,
( spl16_362
| spl16_575 ),
inference(avatar_split_clause,[],[f55382,f55413,f31178]) ).
tff(f55413,plain,
( spl16_575
<=> ! [X13: $int,X12: $int] :
( ( gcd1(gcd1(X12,1),X13) = gcd1($product(2,X12),gcd1(1,X13)) )
| $less(X12,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_575])]) ).
tff(f55382,plain,
! [X12: $int,X13: $int] :
( ( gcd1(gcd1(X12,1),X13) = gcd1($product(2,X12),gcd1(1,X13)) )
| $less(div2(1,2),0)
| $less(X12,0) ),
inference(evaluation,[],[f55007]) ).
tff(f55007,plain,
! [X12: $int,X13: $int] :
( $less(X12,0)
| $less(1,0)
| ( gcd1(gcd1(X12,1),X13) = gcd1($product(2,X12),gcd1(1,X13)) )
| $less(div2(1,2),0)
| ~ $less(1,2)
| ( 0 = 2 ) ),
inference(superposition,[],[f2472,f1813]) ).
tff(f2472,plain,
! [X10: $int,X11: $int,X12: $int] :
( ( gcd1(gcd1(X10,$sum($product(2,X11),1)),X12) = gcd1($product(2,X10),gcd1($sum($product(2,X11),1),X12)) )
| $less(X11,0)
| $less(X10,0) ),
inference(superposition,[],[f547,f508]) ).
tff(f54670,plain,
( ~ spl16_574
| spl16_78
| ~ spl16_359 ),
inference(avatar_split_clause,[],[f54666,f30593,f3221,f54668]) ).
tff(f54668,plain,
( spl16_574
<=> even1($product(1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_574])]) ).
tff(f30593,plain,
( spl16_359
<=> divides1($product(1,abs1(-1)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_359])]) ).
tff(f54666,plain,
( ~ even1($product(1,abs1(-1)))
| spl16_78
| ~ spl16_359 ),
inference(subsumption_resolution,[],[f54653,f5290]) ).
tff(f54653,plain,
( ~ even1($product(1,abs1(-1)))
| divides1(2,-1)
| ~ spl16_359 ),
inference(resolution,[],[f30594,f834]) ).
tff(f30594,plain,
( divides1($product(1,abs1(-1)),-1)
| ~ spl16_359 ),
inference(avatar_component_clause,[],[f30593]) ).
tff(f54665,plain,
( spl16_573
| spl16_78
| ~ spl16_359 ),
inference(avatar_split_clause,[],[f54661,f30593,f3221,f54663]) ).
tff(f54663,plain,
( spl16_573
<=> odd1($product(1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_573])]) ).
tff(f54661,plain,
( odd1($product(1,abs1(-1)))
| spl16_78
| ~ spl16_359 ),
inference(subsumption_resolution,[],[f54652,f5290]) ).
tff(f54652,plain,
( odd1($product(1,abs1(-1)))
| divides1(2,-1)
| ~ spl16_359 ),
inference(resolution,[],[f30594,f833]) ).
tff(f54660,plain,
( ~ spl16_572
| ~ spl16_96
| ~ spl16_359 ),
inference(avatar_split_clause,[],[f54646,f30593,f5158,f54658]) ).
tff(f54658,plain,
( spl16_572
<=> $less(1,$product(1,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_572])]) ).
tff(f54646,plain,
( ~ $less(1,$product(1,abs1(-1)))
| ~ spl16_96
| ~ spl16_359 ),
inference(resolution,[],[f30594,f5202]) ).
tff(f54470,plain,
( spl16_571
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f54452,f6143,f54468]) ).
tff(f6143,plain,
( spl16_110
<=> ( $uminus(abs1(-1)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_110])]) ).
tff(f54452,plain,
( divides1($product(-1,abs1(-1)),-1)
| ~ spl16_110 ),
inference(superposition,[],[f53002,f6144]) ).
tff(f6144,plain,
( ( $uminus(abs1(-1)) = -1 )
| ~ spl16_110 ),
inference(avatar_component_clause,[],[f6143]) ).
tff(f53002,plain,
! [X2: $int] : divides1($product(-1,X2),$uminus(X2)),
inference(resolution,[],[f35697,f693]) ).
tff(f693,plain,
! [X8: $int,X9: $int] :
( ~ divides1($uminus(X8),X9)
| divides1(X8,$uminus(X9)) ),
inference(resolution,[],[f515,f486]) ).
tff(f35697,plain,
! [X25: $int] : divides1($uminus($product(-1,X25)),X25),
inference(evaluation,[],[f35676]) ).
tff(f35676,plain,
! [X25: $int] : divides1($uminus($product(-1,$uminus($uminus(X25)))),X25),
inference(resolution,[],[f5827,f717]) ).
tff(f5827,plain,
! [X15: $int] : divides1($product(-1,$uminus(X15)),X15),
inference(resolution,[],[f5168,f567]) ).
tff(f5168,plain,
! [X1: $int] : divides1($product(-1,X1),X1),
inference(resolution,[],[f1205,f4663]) ).
tff(f54466,plain,
( spl16_570
| ~ spl16_340 ),
inference(avatar_split_clause,[],[f54453,f24125,f54464]) ).
tff(f54464,plain,
( spl16_570
<=> divides1($product(-1,mod2(1,2)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_570])]) ).
tff(f24125,plain,
( spl16_340
<=> ( $uminus(mod2(1,2)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_340])]) ).
tff(f54453,plain,
( divides1($product(-1,mod2(1,2)),-1)
| ~ spl16_340 ),
inference(superposition,[],[f53002,f24126]) ).
tff(f24126,plain,
( ( $uminus(mod2(1,2)) = -1 )
| ~ spl16_340 ),
inference(avatar_component_clause,[],[f24125]) ).
tff(f54462,plain,
( spl16_569
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f54451,f6371,f54460]) ).
tff(f6371,plain,
( spl16_111
<=> ( -1 = $uminus(abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_111])]) ).
tff(f54451,plain,
( divides1($product(-1,abs1(1)),-1)
| ~ spl16_111 ),
inference(superposition,[],[f53002,f6372]) ).
tff(f6372,plain,
( ( -1 = $uminus(abs1(1)) )
| ~ spl16_111 ),
inference(avatar_component_clause,[],[f6371]) ).
tff(f54434,plain,
( spl16_362
| spl16_568 ),
inference(avatar_split_clause,[],[f54377,f54432,f31178]) ).
tff(f54432,plain,
( spl16_568
<=> ! [X52: $int,X53: $int] :
( ~ divides1(X53,sK13(X52))
| ~ $less(0,sK2(sK13(X52),X53))
| ( mod2(div2(X52,2),sK2(sK13(X52),X53)) = mod2(div2(1,2),sK2(sK13(X52),X53)) )
| $less(sK13(X52),0)
| $less(X53,0)
| ~ odd1(X52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_568])]) ).
tff(f54377,plain,
! [X52: $int,X53: $int] :
( ~ divides1(X53,sK13(X52))
| ~ odd1(X52)
| $less(div2(1,2),0)
| $less(X53,0)
| $less(sK13(X52),0)
| ( mod2(div2(X52,2),sK2(sK13(X52),X53)) = mod2(div2(1,2),sK2(sK13(X52),X53)) )
| ~ $less(0,sK2(sK13(X52),X53)) ),
inference(superposition,[],[f2262,f2387]) ).
tff(f2262,plain,
! [X6: $int,X4: $int,X5: $int] :
( ( mod2(X6,sK2(X4,X5)) = mod2($sum(X4,X6),sK2(X4,X5)) )
| $less(X6,0)
| $less(X5,0)
| ~ $less(0,sK2(X4,X5))
| ~ divides1(X5,X4) ),
inference(superposition,[],[f539,f523]) ).
tff(f54430,plain,
( spl16_362
| spl16_567 ),
inference(avatar_split_clause,[],[f54373,f54428,f31178]) ).
tff(f54428,plain,
( spl16_567
<=> ! [X43: $int,X42: $int] :
( $less(X42,0)
| ~ $less(0,sK2(div2(X42,2),X43))
| $less(X43,0)
| ~ divides1(X43,div2(X42,2))
| ( mod2(div2(1,2),sK2(div2(X42,2),X43)) = mod2(div2(X42,2),sK2(div2(X42,2),X43)) )
| even1(X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_567])]) ).
tff(f54373,plain,
! [X42: $int,X43: $int] :
( $less(X42,0)
| even1(X42)
| ( mod2(div2(1,2),sK2(div2(X42,2),X43)) = mod2(div2(X42,2),sK2(div2(X42,2),X43)) )
| ~ divides1(X43,div2(X42,2))
| $less(div2(1,2),0)
| $less(X43,0)
| ~ $less(0,sK2(div2(X42,2),X43)) ),
inference(superposition,[],[f2262,f2395]) ).
tff(f54357,plain,
( ~ spl16_566
| ~ spl16_124 ),
inference(avatar_split_clause,[],[f54338,f6668,f54355]) ).
tff(f54355,plain,
( spl16_566
<=> $less(1,$product(abs1(-1),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_566])]) ).
tff(f6668,plain,
( spl16_124
<=> ( 1 = abs1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_124])]) ).
tff(f54338,plain,
( ~ $less(1,$product(abs1(-1),1))
| ~ spl16_124 ),
inference(resolution,[],[f14618,f8339]) ).
tff(f8339,plain,
( ! [X15: $int] :
( ~ divides1(X15,1)
| ~ $less(1,X15) )
| ~ spl16_124 ),
inference(evaluation,[],[f8328]) ).
tff(f8328,plain,
( ! [X15: $int] :
( ( 0 = 1 )
| ~ $less(1,X15)
| ~ divides1(X15,1) )
| ~ spl16_124 ),
inference(superposition,[],[f1118,f6669]) ).
tff(f6669,plain,
( ( 1 = abs1(1) )
| ~ spl16_124 ),
inference(avatar_component_clause,[],[f6668]) ).
tff(f54353,plain,
( ~ spl16_565
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f54346,f5158,f54351]) ).
tff(f54351,plain,
( spl16_565
<=> $less(1,$product(abs1(-1),-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_565])]) ).
tff(f54346,plain,
( ~ $less(1,$product(abs1(-1),-1))
| ~ spl16_96 ),
inference(resolution,[],[f14618,f5202]) ).
tff(f54316,plain,
( spl16_362
| spl16_564 ),
inference(avatar_split_clause,[],[f54277,f54314,f31178]) ).
tff(f54314,plain,
( spl16_564
<=> ! [X8: $int] :
( $less(0,$sum(1,$uminus($sum($product(2,X8),1))))
| ~ $less(0,$sum(div2(1,2),$uminus(X8)))
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_564])]) ).
tff(f54277,plain,
! [X8: $int] :
( $less(0,$sum(1,$uminus($sum($product(2,X8),1))))
| $less(X8,0)
| ~ $less(0,$sum(div2(1,2),$uminus(X8)))
| $less(div2(1,2),0) ),
inference(evaluation,[],[f54254]) ).
tff(f54254,plain,
! [X8: $int] :
( $less(1,0)
| $less(0,$sum(1,$uminus($sum($product(2,X8),1))))
| ( 0 = 2 )
| $less(X8,0)
| $less(div2(1,2),0)
| ~ $less(0,$sum(div2(1,2),$uminus(X8)))
| ~ $less(1,2) ),
inference(superposition,[],[f2560,f1813]) ).
tff(f2560,plain,
! [X19: $int,X20: $int] :
( $less(0,$sum($sum($product(2,X19),1),$uminus($sum($product(2,X20),1))))
| $less(X20,0)
| $less(X19,0)
| ~ $less(0,$sum(X19,$uminus(X20))) ),
inference(evaluation,[],[f2556]) ).
tff(f2556,plain,
! [X19: $int,X20: $int] :
( $less(0,$sum($sum($product(2,X19),1),$uminus($sum($product(2,X20),1))))
| ~ $less(0,2)
| $less(X19,0)
| ~ $less(0,$sum(X19,$uminus(X20)))
| $less(X20,0) ),
inference(superposition,[],[f479,f491]) ).
tff(f479,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div2(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(cnf_transformation,[],[f346]) ).
tff(f346,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,X1)
| $less(0,X0)
| ~ $less(0,div2(X0,X1)) ),
inference(flattening,[],[f345]) ).
tff(f345,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,div2(X0,X1))
| ~ $less(0,X1)
| $less(0,X0) ),
inference(ennf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: $int,X1: $int] :
( ( $less(0,X1)
& ~ $less(0,X0) )
=> ~ $less(0,div2(X0,X1)) ),
inference(rectify,[],[f122]) ).
tff(f122,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(0,X1)
& $less(0,X7) )
=> ~ $less(0,div2(X1,X7)) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(X1,0)
& $less(0,X7) )
=> $lesseq(div2(X1,X7),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_sign_neg) ).
tff(f54298,plain,
( spl16_362
| spl16_563 ),
inference(avatar_split_clause,[],[f54283,f54296,f31178]) ).
tff(f54296,plain,
( spl16_563
<=> ! [X8: $int] :
( $less(0,$product(2,X8))
| $less(X8,0)
| ~ $less(0,$sum(X8,$uminus(div2(1,2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_563])]) ).
tff(f54283,plain,
! [X8: $int] :
( $less(0,$product(2,X8))
| ~ $less(0,$sum(X8,$uminus(div2(1,2))))
| $less(div2(1,2),0)
| $less(X8,0) ),
inference(evaluation,[],[f54270]) ).
tff(f54270,plain,
! [X8: $int] :
( $less(div2(1,2),0)
| $less(0,$sum($sum($product(2,X8),1),$uminus(1)))
| $less(1,0)
| $less(X8,0)
| ~ $less(1,2)
| ( 0 = 2 )
| ~ $less(0,$sum(X8,$uminus(div2(1,2)))) ),
inference(superposition,[],[f2560,f1813]) ).
tff(f54161,plain,
( spl16_362
| spl16_562 ),
inference(avatar_split_clause,[],[f54127,f54159,f31178]) ).
tff(f54159,plain,
( spl16_562
<=> ! [X8: $int] :
( ~ $less($sum(div2(1,2),$uminus(X8)),0)
| $less(X8,0)
| $less($sum(1,$uminus($sum($product(2,X8),1))),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_562])]) ).
tff(f54127,plain,
! [X8: $int] :
( ~ $less($sum(div2(1,2),$uminus(X8)),0)
| $less($sum(1,$uminus($sum($product(2,X8),1))),0)
| $less(div2(1,2),0)
| $less(X8,0) ),
inference(evaluation,[],[f54104]) ).
tff(f54104,plain,
! [X8: $int] :
( $less(X8,0)
| ~ $less(1,2)
| ( 0 = 2 )
| $less(div2(1,2),0)
| $less($sum(1,$uminus($sum($product(2,X8),1))),0)
| ~ $less($sum(div2(1,2),$uminus(X8)),0)
| $less(1,0) ),
inference(superposition,[],[f2552,f1813]) ).
tff(f2552,plain,
! [X11: $int,X12: $int] :
( $less($sum($sum($product(2,X11),1),$uminus($sum($product(2,X12),1))),0)
| ~ $less($sum(X11,$uminus(X12)),0)
| $less(X11,0)
| $less(X12,0) ),
inference(superposition,[],[f578,f491]) ).
tff(f54157,plain,
( spl16_362
| spl16_561 ),
inference(avatar_split_clause,[],[f54153,f54155,f31178]) ).
tff(f54155,plain,
( spl16_561
<=> ! [X8: $int] :
( ~ $less($sum(X8,$uminus(div2(1,2))),0)
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_561])]) ).
tff(f54153,plain,
! [X8: $int] :
( ~ $less($sum(X8,$uminus(div2(1,2))),0)
| $less(X8,0)
| $less(div2(1,2),0) ),
inference(subsumption_resolution,[],[f54128,f14769]) ).
tff(f14769,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less($product(2,X0),0) ),
inference(evaluation,[],[f14768]) ).
tff(f14768,plain,
! [X0: $int] :
( $less(X0,0)
| $less(0,0)
| ~ $less($product(2,X0),0) ),
inference(duplicate_literal_removal,[],[f14696]) ).
tff(f14696,plain,
! [X0: $int] :
( $less(0,0)
| ~ $less($product(2,X0),0)
| $less(X0,0)
| $less(X0,0) ),
inference(superposition,[],[f2148,f776]) ).
tff(f776,plain,
! [X2: $int] :
( ( gcd1(0,X2) = X2 )
| $less(X2,0) ),
inference(superposition,[],[f565,f520]) ).
tff(f2148,plain,
! [X24: $int,X25: $int] :
( ~ $less($product(2,gcd1(X24,X25)),0)
| $less(X24,0)
| $less(X25,0) ),
inference(superposition,[],[f579,f507]) ).
tff(f507,plain,
! [X0: $int,X1: $int] :
( ( gcd1($product(2,X1),$product(2,X0)) = $product(2,gcd1(X1,X0)) )
| $less(X0,0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: $int,X1: $int] :
( ( gcd1($product(2,X1),$product(2,X0)) = $product(2,gcd1(X1,X0)) )
| $less(X0,0)
| $less(X1,0) ),
inference(flattening,[],[f281]) ).
tff(f281,plain,
! [X1: $int,X0: $int] :
( ( gcd1($product(2,X1),$product(2,X0)) = $product(2,gcd1(X1,X0)) )
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f209]) ).
tff(f209,plain,
! [X1: $int,X0: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( gcd1($product(2,X1),$product(2,X0)) = $product(2,gcd1(X1,X0)) ) ) ),
inference(rectify,[],[f130]) ).
tff(f130,plain,
! [X21: $int,X6: $int] :
( ~ $less(X21,0)
=> ( ~ $less(X6,0)
=> ( gcd1($product(2,X6),$product(2,X21)) = $product(2,gcd1(X6,X21)) ) ) ),
inference(theory_normalization,[],[f111]) ).
tff(f111,axiom,
! [X21: $int,X6: $int] :
( $lesseq(0,X21)
=> ( $lesseq(0,X6)
=> ( gcd1($product(2,X6),$product(2,X21)) = $product(2,gcd1(X6,X21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_even_even) ).
tff(f579,plain,
! [X0: $int,X1: $int] : ~ $less(gcd1(X0,X1),0),
inference(cnf_transformation,[],[f435]) ).
tff(f435,plain,
! [X0: $int,X1: $int] : ~ $less(gcd1(X0,X1),0),
inference(rectify,[],[f164]) ).
tff(f164,plain,
! [X1: $int,X0: $int] : ~ $less(gcd1(X1,X0),0),
inference(rectify,[],[f120]) ).
tff(f120,plain,
! [X18: $int,X0: $int] : ~ $less(gcd1(X0,X18),0),
inference(theory_normalization,[],[f81]) ).
tff(f81,axiom,
! [X18: $int,X0: $int] : $lesseq(0,gcd1(X0,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_nonneg) ).
tff(f54128,plain,
! [X8: $int] :
( $less(div2(1,2),0)
| $less(X8,0)
| ~ $less($sum(X8,$uminus(div2(1,2))),0)
| $less($product(2,X8),0) ),
inference(evaluation,[],[f54120]) ).
tff(f54120,plain,
! [X8: $int] :
( $less(1,0)
| ~ $less(1,2)
| $less(X8,0)
| $less($sum($sum($product(2,X8),1),$uminus(1)),0)
| ~ $less($sum(X8,$uminus(div2(1,2))),0)
| ( 0 = 2 )
| $less(div2(1,2),0) ),
inference(superposition,[],[f2552,f1813]) ).
tff(f53888,plain,
( spl16_465
| spl16_466
| spl16_560
| spl16_6 ),
inference(avatar_split_clause,[],[f53843,f630,f53886,f42899,f42896]) ).
tff(f42896,plain,
( spl16_465
<=> ( $sum(sK11,$uminus(sK12)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_465])]) ).
tff(f42899,plain,
( spl16_466
<=> ( 1 = $sum(sK11,$uminus(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_466])]) ).
tff(f53886,plain,
( spl16_560
<=> ! [X29: $int,X30: $int] :
( ~ divides1($sum(sK11,$uminus(sK12)),X30)
| ( $sum(sK11,$uminus(sK12)) = X30 )
| ~ prime1(X29)
| ~ even1(X29)
| ( gcd1(X30,$sum($product(X29,sK12),1)) != gcd1($sum($product(X29,sK11),1),$sum($product(X29,sK12),1)) )
| ~ prime1(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_560])]) ).
tff(f53843,plain,
( ! [X29: $int,X30: $int] :
( ~ divides1($sum(sK11,$uminus(sK12)),X30)
| ( 1 = $sum(sK11,$uminus(sK12)) )
| ~ prime1(X30)
| ( gcd1(X30,$sum($product(X29,sK12),1)) != gcd1($sum($product(X29,sK11),1),$sum($product(X29,sK12),1)) )
| ~ even1(X29)
| ~ prime1(X29)
| ( $sum(sK11,$uminus(sK12)) = X30 )
| ( $sum(sK11,$uminus(sK12)) = -1 ) )
| spl16_6 ),
inference(superposition,[],[f47277,f1978]) ).
tff(f47277,plain,
( ! [X0: $int] :
( ( gcd1($sum(sK11,$uminus(sK12)),$sum($product(X0,sK12),1)) != gcd1($sum($product(X0,sK11),1),$sum($product(X0,sK12),1)) )
| ~ even1(X0)
| ~ prime1(X0) )
| spl16_6 ),
inference(superposition,[],[f631,f583]) ).
tff(f583,plain,
! [X0: $int] :
( ( 2 = X0 )
| ~ prime1(X0)
| ~ even1(X0) ),
inference(cnf_transformation,[],[f338]) ).
tff(f338,plain,
! [X0: $int] :
( ~ even1(X0)
| ~ prime1(X0)
| ( 2 = X0 ) ),
inference(flattening,[],[f337]) ).
tff(f337,plain,
! [X0: $int] :
( ( 2 = X0 )
| ~ even1(X0)
| ~ prime1(X0) ),
inference(ennf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: $int] :
( prime1(X0)
=> ( even1(X0)
=> ( 2 = X0 ) ) ),
inference(rectify,[],[f105]) ).
tff(f105,axiom,
! [X20: $int] :
( prime1(X20)
=> ( even1(X20)
=> ( 2 = X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_prime) ).
tff(f53883,plain,
( spl16_150
| spl16_559
| spl16_6 ),
inference(avatar_split_clause,[],[f53850,f630,f53881,f7951]) ).
tff(f7951,plain,
( spl16_150
<=> $less($sum(sK11,$uminus(sK12)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_150])]) ).
tff(f53881,plain,
( spl16_559
<=> ! [X37: $int] :
( ~ prime1(X37)
| ( $sum(sK11,$uminus(sK12)) != gcd1($sum($product(X37,sK11),1),$sum($product(X37,sK12),1)) )
| ~ divides1($sum(sK11,$uminus(sK12)),$sum($product(X37,sK12),1))
| ~ even1(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_559])]) ).
tff(f53850,plain,
( ! [X37: $int] :
( ~ prime1(X37)
| ~ even1(X37)
| $less($sum(sK11,$uminus(sK12)),0)
| ~ divides1($sum(sK11,$uminus(sK12)),$sum($product(X37,sK12),1))
| ( $sum(sK11,$uminus(sK12)) != gcd1($sum($product(X37,sK11),1),$sum($product(X37,sK12),1)) ) )
| spl16_6 ),
inference(superposition,[],[f47277,f2223]) ).
tff(f53879,plain,
( spl16_87
| spl16_558
| spl16_6 ),
inference(avatar_split_clause,[],[f53817,f630,f53877,f4494]) ).
tff(f53877,plain,
( spl16_558
<=> ! [X1: $int] :
( ~ even1(X1)
| ( gcd1($sum(sK11,gcd1(sK12,0)),$sum($product(X1,sK12),1)) != gcd1($sum($product(X1,sK11),1),$sum($product(X1,sK12),1)) )
| ~ prime1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_558])]) ).
tff(f53817,plain,
( ! [X1: $int] :
( ~ even1(X1)
| ~ prime1(X1)
| $less($uminus(sK12),0)
| ( gcd1($sum(sK11,gcd1(sK12,0)),$sum($product(X1,sK12),1)) != gcd1($sum($product(X1,sK11),1),$sum($product(X1,sK12),1)) ) )
| spl16_6 ),
inference(superposition,[],[f47277,f786]) ).
tff(f53875,plain,
( ~ spl16_144
| spl16_557
| spl16_6 ),
inference(avatar_split_clause,[],[f53848,f630,f53873,f7552]) ).
tff(f7552,plain,
( spl16_144
<=> divides1(0,$sum(sK11,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_144])]) ).
tff(f53873,plain,
( spl16_557
<=> ! [X35: $int] :
( ~ prime1(X35)
| ( 0 != gcd1($sum($product(X35,sK11),1),$sum($product(X35,sK12),1)) )
| ~ even1(X35)
| ~ divides1(0,$sum($product(X35,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_557])]) ).
tff(f53848,plain,
( ! [X35: $int] :
( ~ prime1(X35)
| ~ divides1(0,$sum($product(X35,sK12),1))
| ~ divides1(0,$sum(sK11,$uminus(sK12)))
| ~ even1(X35)
| ( 0 != gcd1($sum($product(X35,sK11),1),$sum($product(X35,sK12),1)) ) )
| spl16_6 ),
inference(superposition,[],[f47277,f2212]) ).
tff(f53871,plain,
( spl16_522
| spl16_556
| spl16_6 ),
inference(avatar_split_clause,[],[f53867,f630,f53869,f48357]) ).
tff(f48357,plain,
( spl16_522
<=> ! [X39: $int] :
( ( 1 = $product(X39,$sum(sK11,$uminus(sK12))) )
| ~ divides1($product(X39,$sum(sK11,$uminus(sK12))),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_522])]) ).
tff(f53869,plain,
( spl16_556
<=> ! [X0: $int] :
( ~ prime1(X0)
| ~ even1(X0)
| ( gcd1($sum($product(X0,sK11),1),$sum($product(X0,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$product(X0,sK12)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_556])]) ).
tff(f53867,plain,
( ! [X0: $int,X1: $int] :
( ~ prime1(X0)
| ( gcd1($sum($product(X0,sK11),1),$sum($product(X0,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$product(X0,sK12)) )
| ( 1 = $product(X1,$sum(sK11,$uminus(sK12))) )
| ~ even1(X0)
| ~ divides1($product(X1,$sum(sK11,$uminus(sK12))),1) )
| spl16_6 ),
inference(subsumption_resolution,[],[f53823,f571]) ).
tff(f53823,plain,
( ! [X0: $int,X1: $int] :
( ~ prime1(X0)
| ( gcd1($sum($product(X0,sK11),1),$sum($product(X0,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$product(X0,sK12)) )
| ~ even1(X0)
| ( 1 = $product(X1,$sum(sK11,$uminus(sK12))) )
| ~ divides1(1,$product(X1,$sum(sK11,$uminus(sK12))))
| ~ divides1($product(X1,$sum(sK11,$uminus(sK12))),1) )
| spl16_6 ),
inference(superposition,[],[f47277,f1702]) ).
tff(f53800,plain,
( spl16_362
| spl16_555 ),
inference(avatar_split_clause,[],[f53790,f53798,f31178]) ).
tff(f53798,plain,
( spl16_555
<=> ! [X8: $int] :
( even1(X8)
| $less(X8,0)
| ( div2($sum(X8,-1),2) = $sum(div2(X8,2),$uminus(div2(1,2))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_555])]) ).
tff(f53790,plain,
! [X8: $int] :
( even1(X8)
| $less(div2(1,2),0)
| ( div2($sum(X8,-1),2) = $sum(div2(X8,2),$uminus(div2(1,2))) )
| $less(X8,0) ),
inference(evaluation,[],[f53686]) ).
tff(f53686,plain,
! [X8: $int] :
( ( 0 = 2 )
| $less(1,0)
| even1(X8)
| ~ $less(1,2)
| $less(X8,0)
| ( $sum(div2(X8,2),$uminus(div2(1,2))) = div2($sum(X8,$uminus(1)),2) )
| $less(div2(1,2),0) ),
inference(superposition,[],[f2567,f1813]) ).
tff(f2567,plain,
! [X2: $int,X3: $int] :
( ( $sum(div2(X2,2),$uminus(X3)) = div2($sum(X2,$uminus($sum($product(2,X3),1))),2) )
| $less(X2,0)
| $less(X3,0)
| even1(X2) ),
inference(subsumption_resolution,[],[f2536,f578]) ).
tff(f2536,plain,
! [X2: $int,X3: $int] :
( $less(X2,0)
| $less(div2(X2,2),0)
| $less(X3,0)
| ( $sum(div2(X2,2),$uminus(X3)) = div2($sum(X2,$uminus($sum($product(2,X3),1))),2) )
| even1(X2) ),
inference(superposition,[],[f491,f587]) ).
tff(f53195,plain,
( spl16_362
| spl16_554 ),
inference(avatar_split_clause,[],[f53189,f53193,f31178]) ).
tff(f53193,plain,
( spl16_554
<=> ! [X8: $int] :
( ~ odd1(X8)
| ( div2($sum(X8,-1),2) = $sum(sK13(X8),$uminus(div2(1,2))) )
| $less(sK13(X8),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_554])]) ).
tff(f53189,plain,
! [X8: $int] :
( ~ odd1(X8)
| $less(sK13(X8),0)
| $less(div2(1,2),0)
| ( div2($sum(X8,-1),2) = $sum(sK13(X8),$uminus(div2(1,2))) ) ),
inference(evaluation,[],[f53096]) ).
tff(f53096,plain,
! [X8: $int] :
( ~ $less(1,2)
| ( 0 = 2 )
| $less(sK13(X8),0)
| $less(1,0)
| $less(div2(1,2),0)
| ( $sum(sK13(X8),$uminus(div2(1,2))) = div2($sum(X8,$uminus(1)),2) )
| ~ odd1(X8) ),
inference(superposition,[],[f2535,f1813]) ).
tff(f2535,plain,
! [X0: $int,X1: $int] :
( ( div2($sum(X0,$uminus($sum($product(2,X1),1))),2) = $sum(sK13(X0),$uminus(X1)) )
| $less(sK13(X0),0)
| ~ odd1(X0)
| $less(X1,0) ),
inference(superposition,[],[f491,f590]) ).
tff(f52470,plain,
( spl16_550
| spl16_553 ),
inference(avatar_split_clause,[],[f52409,f52468,f52454]) ).
tff(f52454,plain,
( spl16_550
<=> ( mod2(mod2(1,2),2) = mod2(1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_550])]) ).
tff(f52468,plain,
( spl16_553
<=> ! [X5: $int] :
( $less(div2(X5,2),0)
| ~ odd1(X5)
| $less(mod2(X5,2),0)
| $less(sK13(X5),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_553])]) ).
tff(f52409,plain,
! [X5: $int] :
( $less(div2(X5,2),0)
| $less(sK13(X5),0)
| $less(mod2(X5,2),0)
| ~ odd1(X5)
| ( mod2(mod2(1,2),2) = mod2(1,2) ) ),
inference(evaluation,[],[f52356]) ).
tff(f52356,plain,
! [X5: $int] :
( ( 0 = 2 )
| ( mod2(mod2(1,2),2) = mod2(1,2) )
| $less(div2(X5,2),0)
| $less(sK13(X5),0)
| $less(mod2(X5,2),0)
| ~ odd1(X5)
| ~ $less(0,2) ),
inference(superposition,[],[f2265,f2282]) ).
tff(f2265,plain,
! [X2: $int,X3: $int] :
( ( mod2(mod2(X3,X2),X2) = mod2(X3,X2) )
| ~ $less(0,X2)
| $less(mod2(X3,X2),0)
| $less(div2(X3,X2),0)
| ( 0 = X2 ) ),
inference(superposition,[],[f539,f511]) ).
tff(f52466,plain,
( spl16_552
| spl16_362
| spl16_198 ),
inference(avatar_split_clause,[],[f52462,f11213,f31178,f52464]) ).
tff(f52464,plain,
( spl16_552
<=> ! [X16: $int] :
( ( mod2(X16,2) = mod2(mod2(X16,2),2) )
| ~ odd1(X16)
| $less(sK13(X16),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_552])]) ).
tff(f52462,plain,
( ! [X16: $int] :
( $less(div2(1,2),0)
| ( mod2(X16,2) = mod2(mod2(X16,2),2) )
| $less(sK13(X16),0)
| ~ odd1(X16) )
| spl16_198 ),
inference(subsumption_resolution,[],[f52422,f11214]) ).
tff(f52422,plain,
! [X16: $int] :
( ( mod2(X16,2) = mod2(mod2(X16,2),2) )
| ~ odd1(X16)
| $less(mod2(1,2),0)
| $less(div2(1,2),0)
| $less(sK13(X16),0) ),
inference(evaluation,[],[f52362]) ).
tff(f52362,plain,
! [X16: $int] :
( ~ odd1(X16)
| $less(mod2(1,2),0)
| ( mod2(X16,2) = mod2(mod2(X16,2),2) )
| $less(sK13(X16),0)
| ( 0 = 2 )
| ~ $less(0,2)
| $less(div2(1,2),0) ),
inference(superposition,[],[f2265,f2282]) ).
tff(f52461,plain,
( spl16_362
| spl16_551
| spl16_198 ),
inference(avatar_split_clause,[],[f52457,f11213,f52459,f31178]) ).
tff(f52459,plain,
( spl16_551
<=> ! [X17: $int] :
( ( mod2(X17,2) = mod2(mod2(X17,2),2) )
| $less(X17,0)
| even1(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_551])]) ).
tff(f52457,plain,
( ! [X17: $int] :
( ( mod2(X17,2) = mod2(mod2(X17,2),2) )
| even1(X17)
| $less(div2(1,2),0)
| $less(X17,0) )
| spl16_198 ),
inference(subsumption_resolution,[],[f52430,f11214]) ).
tff(f52430,plain,
! [X17: $int] :
( ( mod2(X17,2) = mod2(mod2(X17,2),2) )
| even1(X17)
| $less(div2(1,2),0)
| $less(X17,0)
| $less(mod2(1,2),0) ),
inference(evaluation,[],[f52363]) ).
tff(f52363,plain,
! [X17: $int] :
( $less(X17,0)
| even1(X17)
| ( mod2(X17,2) = mod2(mod2(X17,2),2) )
| ~ $less(0,2)
| $less(div2(1,2),0)
| $less(mod2(1,2),0)
| ( 0 = 2 ) ),
inference(superposition,[],[f2265,f2284]) ).
tff(f52456,plain,
( spl16_550
| spl16_193 ),
inference(avatar_split_clause,[],[f52452,f11194,f52454]) ).
tff(f11194,plain,
( spl16_193
<=> ! [X9: $int] :
( $less(X9,0)
| even1(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_193])]) ).
tff(f52452,plain,
! [X6: $int] :
( $less(X6,0)
| ( mod2(mod2(1,2),2) = mod2(1,2) )
| even1(X6) ),
inference(subsumption_resolution,[],[f52451,f11180]) ).
tff(f11180,plain,
! [X10: $int] :
( ~ $less(mod2(X10,2),0)
| even1(X10)
| $less(X10,0) ),
inference(evaluation,[],[f11147]) ).
tff(f11147,plain,
! [X10: $int] :
( $less(1,0)
| even1(X10)
| ~ $less(mod2(X10,2),0)
| ( 0 = 2 )
| $less(X10,0) ),
inference(superposition,[],[f582,f2284]) ).
tff(f582,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X0,X1),0)
| ( 0 = X1 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f334]) ).
tff(f334,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X0,X1),0)
| $less(X0,0)
| ( 0 = X1 ) ),
inference(flattening,[],[f333]) ).
tff(f333,plain,
! [X0: $int,X1: $int] :
( ~ $less(mod2(X0,X1),0)
| ( 0 = X1 )
| $less(X0,0) ),
inference(ennf_transformation,[],[f256]) ).
tff(f256,plain,
! [X0: $int,X1: $int] :
( ( ( 0 != X1 )
& ~ $less(X0,0) )
=> ~ $less(mod2(X0,X1),0) ),
inference(rectify,[],[f150]) ).
tff(f150,plain,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& ~ $less(X1,0) )
=> ~ $less(mod2(X1,X7),0) ),
inference(theory_normalization,[],[f17]) ).
tff(f17,axiom,
! [X1: $int,X7: $int] :
( ( ( 0 != X7 )
& $lesseq(0,X1) )
=> $lesseq(0,mod2(X1,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos) ).
tff(f52451,plain,
! [X6: $int] :
( $less(mod2(X6,2),0)
| $less(X6,0)
| even1(X6)
| ( mod2(mod2(1,2),2) = mod2(1,2) ) ),
inference(subsumption_resolution,[],[f52444,f578]) ).
tff(f52444,plain,
! [X6: $int] :
( even1(X6)
| $less(X6,0)
| $less(div2(X6,2),0)
| $less(mod2(X6,2),0)
| ( mod2(mod2(1,2),2) = mod2(1,2) ) ),
inference(evaluation,[],[f52357]) ).
tff(f52357,plain,
! [X6: $int] :
( ( 0 = 2 )
| ~ $less(0,2)
| even1(X6)
| $less(div2(X6,2),0)
| $less(mod2(X6,2),0)
| $less(X6,0)
| ( mod2(mod2(1,2),2) = mod2(1,2) ) ),
inference(superposition,[],[f2265,f2284]) ).
tff(f52178,plain,
( spl16_549
| spl16_292
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f52177,f11940,f18194,f52174]) ).
tff(f52174,plain,
( spl16_549
<=> ! [X11: $int] :
( ( abs1(2) = X11 )
| $less(X11,mod2(1,2))
| ( 1 = X11 )
| ( -1 = X11 )
| ~ divides1(X11,abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_549])]) ).
tff(f18194,plain,
( spl16_292
<=> ! [X5: $int] :
( $less(sK13(X5),0)
| ~ odd1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_292])]) ).
tff(f11940,plain,
( spl16_234
<=> prime1(abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_234])]) ).
tff(f52177,plain,
( ! [X8: $int,X9: $int] :
( ~ odd1(X8)
| ~ divides1(X9,abs1(2))
| ( 1 = X9 )
| ( abs1(2) = X9 )
| ( -1 = X9 )
| $less(sK13(X8),0)
| $less(X9,mod2(1,2)) )
| ~ spl16_234 ),
inference(subsumption_resolution,[],[f52151,f31808]) ).
tff(f31808,plain,
( prime1(abs1(2))
| ~ spl16_234 ),
inference(avatar_component_clause,[],[f11940]) ).
tff(f52151,plain,
! [X8: $int,X9: $int] :
( ~ prime1(abs1(2))
| ~ odd1(X8)
| $less(X9,mod2(1,2))
| ( 1 = X9 )
| $less(sK13(X8),0)
| ( -1 = X9 )
| ~ divides1(X9,abs1(2))
| ( abs1(2) = X9 ) ),
inference(evaluation,[],[f52144]) ).
tff(f52144,plain,
! [X8: $int,X9: $int] :
( ( -1 = X9 )
| ~ divides1(X9,abs1(2))
| ( abs1(2) = X9 )
| ( 0 = 2 )
| ( 1 = X9 )
| $less(X9,mod2(1,2))
| ~ odd1(X8)
| ~ prime1(abs1(2))
| $less(sK13(X8),0) ),
inference(superposition,[],[f2017,f2282]) ).
tff(f2017,plain,
! [X98: $int,X99: $int,X97: $int] :
( $less(X98,mod2(X99,X97))
| ( 0 = X97 )
| ~ divides1(X98,abs1(X97))
| ~ prime1(abs1(X97))
| ( abs1(X97) = X98 )
| ( 1 = X98 )
| ( -1 = X98 ) ),
inference(superposition,[],[f569,f608]) ).
tff(f569,plain,
! [X0: $int,X1: $int] :
( $less($uminus(abs1(X0)),mod2(X1,X0))
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f429]) ).
tff(f429,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $less(mod2(X1,X0),abs1(X0))
& $less($uminus(abs1(X0)),mod2(X1,X0)) ) ),
inference(rectify,[],[f304]) ).
tff(f304,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ( $less(mod2(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod2(X0,X1)) ) ),
inference(ennf_transformation,[],[f169]) ).
tff(f169,plain,
! [X1: $int,X0: $int] :
( ( 0 != X1 )
=> ( $less(mod2(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod2(X0,X1)) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $less($uminus(abs1(X7)),mod2(X1,X7))
& $less(mod2(X1,X7),abs1(X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_bound) ).
tff(f52176,plain,
( spl16_193
| spl16_549
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f52172,f11940,f52174,f11194]) ).
tff(f52172,plain,
( ! [X10: $int,X11: $int] :
( ( abs1(2) = X11 )
| ~ divides1(X11,abs1(2))
| ( -1 = X11 )
| ( 1 = X11 )
| $less(X11,mod2(1,2))
| $less(X10,0)
| even1(X10) )
| ~ spl16_234 ),
inference(subsumption_resolution,[],[f52155,f31808]) ).
tff(f52155,plain,
! [X10: $int,X11: $int] :
( ( -1 = X11 )
| ~ divides1(X11,abs1(2))
| even1(X10)
| ( 1 = X11 )
| ~ prime1(abs1(2))
| ( abs1(2) = X11 )
| $less(X10,0)
| $less(X11,mod2(1,2)) ),
inference(evaluation,[],[f52145]) ).
tff(f52145,plain,
! [X10: $int,X11: $int] :
( ( 0 = 2 )
| $less(X10,0)
| ~ divides1(X11,abs1(2))
| $less(X11,mod2(1,2))
| ( 1 = X11 )
| ~ prime1(abs1(2))
| ( abs1(2) = X11 )
| even1(X10)
| ( -1 = X11 ) ),
inference(superposition,[],[f2017,f2284]) ).
tff(f52171,plain,
( spl16_360
| spl16_548
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f52170,f11940,f52165,f31170]) ).
tff(f31170,plain,
( spl16_360
<=> ! [X24: $int] :
( $less(X24,0)
| ~ even1(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_360])]) ).
tff(f52165,plain,
( spl16_548
<=> ! [X18: $int,X17: $int] :
( $less(X17,0)
| ( -1 = X18 )
| $less(X18,mod2(X17,2))
| ( 1 = X18 )
| ( abs1(2) = X18 )
| ~ divides1(X18,abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_548])]) ).
tff(f52170,plain,
( ! [X21: $int,X19: $int,X20: $int] :
( ( abs1(2) = X21 )
| $less(X20,0)
| ~ even1(X19)
| $less(X21,mod2(X20,2))
| ~ divides1(X21,abs1(2))
| $less(X19,0)
| ( 1 = X21 )
| ( -1 = X21 ) )
| ~ spl16_234 ),
inference(subsumption_resolution,[],[f52156,f31808]) ).
tff(f52156,plain,
! [X21: $int,X19: $int,X20: $int] :
( $less(X21,mod2(X20,2))
| $less(X19,0)
| ~ even1(X19)
| ~ prime1(abs1(2))
| ( abs1(2) = X21 )
| ~ divides1(X21,abs1(2))
| ( -1 = X21 )
| $less(X20,0)
| ( 1 = X21 ) ),
inference(evaluation,[],[f52148]) ).
tff(f52148,plain,
! [X21: $int,X19: $int,X20: $int] :
( $less(X21,mod2(X20,2))
| $less(X19,0)
| ~ prime1(abs1(2))
| $less(X20,0)
| ~ even1(X19)
| ( -1 = X21 )
| ( abs1(2) = X21 )
| ( 1 = X21 )
| ~ divides1(X21,abs1(2))
| ( 0 = 2 ) ),
inference(superposition,[],[f2017,f2285]) ).
tff(f2285,plain,
! [X2: $int,X3: $int] :
( ( mod2(X3,2) = mod2($sum(X2,X3),2) )
| ~ even1(X2)
| $less(X2,0)
| $less(X3,0) ),
inference(subsumption_resolution,[],[f2278,f578]) ).
tff(f2278,plain,
! [X2: $int,X3: $int] :
( ( mod2(X3,2) = mod2($sum(X2,X3),2) )
| ~ even1(X2)
| $less(X3,0)
| $less(div2(X2,2),0)
| $less(X2,0) ),
inference(evaluation,[],[f2261]) ).
tff(f2261,plain,
! [X2: $int,X3: $int] :
( ~ even1(X2)
| ~ $less(0,2)
| ( mod2(X3,2) = mod2($sum(X2,X3),2) )
| $less(X2,0)
| $less(div2(X2,2),0)
| $less(X3,0) ),
inference(superposition,[],[f539,f451]) ).
tff(f52167,plain,
( spl16_422
| spl16_548
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f52163,f11940,f52165,f38077]) ).
tff(f38077,plain,
( spl16_422
<=> ! [X16: $int] :
( $less(sK14(X16),0)
| ~ even1(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_422])]) ).
tff(f52163,plain,
( ! [X18: $int,X16: $int,X17: $int] :
( $less(X17,0)
| ( -1 = X18 )
| ~ divides1(X18,abs1(2))
| ( abs1(2) = X18 )
| ~ even1(X16)
| $less(sK14(X16),0)
| ( 1 = X18 )
| $less(X18,mod2(X17,2)) )
| ~ spl16_234 ),
inference(subsumption_resolution,[],[f52162,f31808]) ).
tff(f52162,plain,
! [X18: $int,X16: $int,X17: $int] :
( ( abs1(2) = X18 )
| ~ divides1(X18,abs1(2))
| ~ prime1(abs1(2))
| $less(X17,0)
| $less(X18,mod2(X17,2))
| ( 1 = X18 )
| ( -1 = X18 )
| $less(sK14(X16),0)
| ~ even1(X16) ),
inference(evaluation,[],[f52147]) ).
tff(f52147,plain,
! [X18: $int,X16: $int,X17: $int] :
( ( 0 = 2 )
| $less(sK14(X16),0)
| ~ divides1(X18,abs1(2))
| $less(X17,0)
| $less(X18,mod2(X17,2))
| ( abs1(2) = X18 )
| ~ prime1(abs1(2))
| ~ even1(X16)
| ( 1 = X18 )
| ( -1 = X18 ) ),
inference(superposition,[],[f2017,f2280]) ).
tff(f2280,plain,
! [X0: $int,X1: $int] :
( ( mod2(X1,2) = mod2($sum(X0,X1),2) )
| ~ even1(X0)
| $less(sK14(X0),0)
| $less(X1,0) ),
inference(evaluation,[],[f2260]) ).
tff(f2260,plain,
! [X0: $int,X1: $int] :
( ~ even1(X0)
| ( mod2(X1,2) = mod2($sum(X0,X1),2) )
| $less(sK14(X0),0)
| ~ $less(0,2)
| $less(X1,0) ),
inference(superposition,[],[f539,f599]) ).
tff(f52109,plain,
( spl16_262
| spl16_547 ),
inference(avatar_split_clause,[],[f52105,f52107,f14789]) ).
tff(f14789,plain,
( spl16_262
<=> ! [X91: $int] : $less(X91,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_262])]) ).
tff(f52107,plain,
( spl16_547
<=> ! [X6: $int,X5: $int,X8: $int] :
( ~ divides1(X5,X8)
| ( X5 = X8 )
| ( 0 = mod2(X5,X6) )
| ~ $less(0,X6)
| ( 1 = X5 )
| $less(X5,0)
| ( -1 = X5 )
| ~ prime1(X8)
| ( 0 = X6 )
| ~ divides1(X6,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_547])]) ).
tff(f52105,plain,
! [X8: $int,X6: $int,X7: $int,X5: $int] :
( ~ divides1(X5,X8)
| ( 0 = X6 )
| ~ prime1(X8)
| ( -1 = X5 )
| $less(X5,0)
| ~ divides1(X6,X8)
| ( 1 = X5 )
| ~ $less(0,X6)
| ( 0 = mod2(X5,X6) )
| $less(X7,0)
| ( X5 = X8 ) ),
inference(subsumption_resolution,[],[f52021,f466]) ).
tff(f466,plain,
! [X0: $int,X1: $int] : divides1(X1,$product(X1,X0)),
inference(cnf_transformation,[],[f378]) ).
tff(f378,plain,
! [X0: $int,X1: $int] : divides1(X1,$product(X1,X0)),
inference(rectify,[],[f152]) ).
tff(f152,plain,
! [X1: $int,X0: $int] : divides1(X0,$product(X0,X1)),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X0: $int,X18: $int] : divides1(X0,$product(X0,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_factorr) ).
tff(f52021,plain,
! [X8: $int,X6: $int,X7: $int,X5: $int] :
( ~ divides1(X5,X8)
| ~ $less(0,X6)
| ( -1 = X5 )
| ( X5 = X8 )
| ( 1 = X5 )
| ( 0 = X6 )
| $less(X7,0)
| ~ divides1(X6,X8)
| ~ divides1(X6,$product(X6,X7))
| ( 0 = mod2(X5,X6) )
| ~ prime1(X8)
| $less(X5,0) ),
inference(resolution,[],[f1986,f2274]) ).
tff(f2274,plain,
! [X18: $int,X19: $int,X17: $int] :
( ~ divides1(X17,$sum($product(X17,X18),X19))
| ( 0 = mod2(X19,X17) )
| $less(X18,0)
| ~ $less(0,X17)
| ( 0 = X17 )
| $less(X19,0) ),
inference(superposition,[],[f555,f539]) ).
tff(f555,plain,
! [X0: $int,X1: $int] :
( ( 0 = mod2(X0,X1) )
| ~ divides1(X1,X0)
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f331]) ).
tff(f331,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X1,X0)
| ( 0 = X1 )
| ( 0 = mod2(X0,X1) ) ),
inference(flattening,[],[f330]) ).
tff(f330,plain,
! [X1: $int,X0: $int] :
( ( 0 = mod2(X0,X1) )
| ~ divides1(X1,X0)
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f184]) ).
tff(f184,plain,
! [X1: $int,X0: $int] :
( ( 0 != X1 )
=> ( divides1(X1,X0)
=> ( 0 = mod2(X0,X1) ) ) ),
inference(rectify,[],[f78]) ).
tff(f78,axiom,
! [X0: $int,X18: $int] :
( ( 0 != X18 )
=> ( divides1(X18,X0)
=> ( 0 = mod2(X0,X18) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_mod_computer) ).
tff(f1986,plain,
! [X28: $int,X26: $int,X27: $int,X25: $int] :
( divides1(X27,$sum(X28,X26))
| ( 1 = X26 )
| ( -1 = X26 )
| ~ divides1(X27,X28)
| ~ divides1(X26,X25)
| ( X25 = X26 )
| ~ divides1(X27,X25)
| ~ prime1(X25) ),
inference(superposition,[],[f586,f608]) ).
tff(f586,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,$sum(X2,$uminus(X0)))
| ~ divides1(X1,X0)
| ~ divides1(X1,X2) ),
inference(cnf_transformation,[],[f362]) ).
tff(f362,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X1,X0)
| ~ divides1(X1,X2)
| divides1(X1,$sum(X2,$uminus(X0))) ),
inference(flattening,[],[f361]) ).
tff(f361,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,$sum(X2,$uminus(X0)))
| ~ divides1(X1,X0)
| ~ divides1(X1,X2) ),
inference(ennf_transformation,[],[f233]) ).
tff(f233,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,X2)
=> ( divides1(X1,X0)
=> divides1(X1,$sum(X2,$uminus(X0))) ) ),
inference(rectify,[],[f141]) ).
tff(f141,plain,
! [X19: $int,X0: $int,X18: $int] :
( divides1(X0,X18)
=> ( divides1(X0,X19)
=> divides1(X0,$sum(X18,$uminus(X19))) ) ),
inference(theory_normalization,[],[f64]) ).
tff(f64,axiom,
! [X19: $int,X0: $int,X18: $int] :
( divides1(X0,X18)
=> ( divides1(X0,X19)
=> divides1(X0,$difference(X18,X19)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_minusr) ).
tff(f52104,plain,
( spl16_544
| spl16_545
| spl16_546 ),
inference(avatar_split_clause,[],[f52073,f52102,f52099,f52096]) ).
tff(f52096,plain,
( spl16_544
<=> ! [X61: $int,X60: $int,X62: $int] :
( ~ prime1(X62)
| $less(sK13(X60),0)
| ~ divides1(div2(1,2),X62)
| ~ odd1(X60)
| ~ divides1(X61,sK13(X60))
| ( div2(1,2) = X62 )
| divides1(X61,div2(X60,2))
| ~ divides1(X61,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_544])]) ).
tff(f52073,plain,
! [X62: $int,X60: $int,X61: $int] :
( ( div2(1,2) = -1 )
| ( 1 = div2(1,2) )
| ~ prime1(X62)
| divides1(X61,div2(X60,2))
| ( div2(1,2) = X62 )
| ~ divides1(X61,X62)
| ~ divides1(X61,sK13(X60))
| ~ odd1(X60)
| ~ divides1(div2(1,2),X62)
| $less(sK13(X60),0) ),
inference(superposition,[],[f1986,f2387]) ).
tff(f52094,plain,
( spl16_543
| spl16_541 ),
inference(avatar_split_clause,[],[f52090,f52083,f52092]) ).
tff(f52092,plain,
( spl16_543
<=> ! [X20: $int,X18: $int,X19: $int] :
( ~ divides1(X20,$product(X18,div2(X19,X18)))
| ~ divides1(X18,X19)
| divides1(X20,X19)
| ( 0 = X18 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_543])]) ).
tff(f52083,plain,
( spl16_541
<=> ! [X45: $int] :
( ~ divides1(0,X45)
| ~ prime1(X45)
| ( 0 = X45 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_541])]) ).
tff(f52090,plain,
! [X21: $int,X18: $int,X19: $int,X20: $int] :
( ~ divides1(0,X21)
| ~ divides1(X20,$product(X18,div2(X19,X18)))
| ( 0 = X18 )
| ~ prime1(X21)
| divides1(X20,X19)
| ~ divides1(X18,X19)
| ( 0 = X21 ) ),
inference(subsumption_resolution,[],[f52077,f823]) ).
tff(f823,plain,
! [X2: $int,X3: $int] :
( ~ divides1(0,X3)
| divides1(X2,X3) ),
inference(resolution,[],[f474,f564]) ).
tff(f52077,plain,
! [X21: $int,X18: $int,X19: $int,X20: $int] :
( ~ divides1(X18,X19)
| ~ divides1(X20,X21)
| ( 0 = X18 )
| ~ prime1(X21)
| ~ divides1(X20,$product(X18,div2(X19,X18)))
| ~ divides1(0,X21)
| ( 0 = X21 )
| divides1(X20,X19) ),
inference(evaluation,[],[f52060]) ).
tff(f52060,plain,
! [X21: $int,X18: $int,X19: $int,X20: $int] :
( ~ divides1(0,X21)
| ~ prime1(X21)
| ~ divides1(X20,X21)
| ( 0 = X18 )
| ( 0 = X21 )
| divides1(X20,X19)
| ~ divides1(X18,X19)
| ~ divides1(X20,$product(X18,div2(X19,X18)))
| ( 0 = 1 )
| ( 0 = -1 ) ),
inference(superposition,[],[f1986,f1817]) ).
tff(f1817,plain,
! [X2: $int,X1: $int] :
( ( $sum($product(X2,div2(X1,X2)),0) = X1 )
| ~ divides1(X2,X1)
| ( 0 = X2 ) ),
inference(duplicate_literal_removal,[],[f1812]) ).
tff(f1812,plain,
! [X2: $int,X1: $int] :
( ~ divides1(X2,X1)
| ( 0 = X2 )
| ( 0 = X2 )
| ( $sum($product(X2,div2(X1,X2)),0) = X1 ) ),
inference(superposition,[],[f511,f555]) ).
tff(f52088,plain,
( spl16_541
| spl16_542 ),
inference(avatar_split_clause,[],[f52081,f52086,f52083]) ).
tff(f52086,plain,
( spl16_542
<=> ! [X43: $int,X44: $int] :
( ~ divides1(X44,div2(X43,2))
| even1(X43)
| divides1(X44,$quotient_e(X43,2))
| $less(X43,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_542])]) ).
tff(f52081,plain,
! [X44: $int,X45: $int,X43: $int] :
( ~ divides1(X44,div2(X43,2))
| $less(X43,0)
| divides1(X44,$quotient_e(X43,2))
| ~ divides1(0,X45)
| ( 0 = X45 )
| ~ prime1(X45)
| even1(X43) ),
inference(subsumption_resolution,[],[f52078,f823]) ).
tff(f52078,plain,
! [X44: $int,X45: $int,X43: $int] :
( $less(X43,0)
| divides1(X44,$quotient_e(X43,2))
| ~ divides1(X44,X45)
| ~ divides1(0,X45)
| ~ divides1(X44,div2(X43,2))
| ~ prime1(X45)
| even1(X43)
| ( 0 = X45 ) ),
inference(evaluation,[],[f52068]) ).
tff(f52068,plain,
! [X44: $int,X45: $int,X43: $int] :
( $less(X43,0)
| divides1(X44,$quotient_e(X43,2))
| ( 0 = 1 )
| ( 0 = -1 )
| even1(X43)
| ~ divides1(X44,div2(X43,2))
| ( 0 = X45 )
| ~ prime1(X45)
| ~ divides1(X44,X45)
| ~ divides1(0,X45) ),
inference(superposition,[],[f1986,f1906]) ).
tff(f1906,plain,
! [X1: $int] :
( ( $sum(div2(X1,2),0) = $quotient_e(X1,2) )
| even1(X1)
| $less(X1,0) ),
inference(evaluation,[],[f1901]) ).
tff(f1901,plain,
! [X1: $int] :
( $less(X1,0)
| even1(X1)
| ~ $less(0,2)
| ( $quotient_e(X1,2) = $sum(div2(X1,2),$quotient_e(1,2)) ) ),
inference(superposition,[],[f557,f587]) ).
tff(f557,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X2,$quotient_e(X0,X1)) = $quotient_e($sum($product(X1,X2),X0),X1) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f424]) ).
tff(f424,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X1)
| ( $sum(X2,$quotient_e(X0,X1)) = $quotient_e($sum($product(X1,X2),X0),X1) ) ),
inference(rectify,[],[f344]) ).
tff(f344,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less(0,X2)
| ( $sum(X0,$quotient_e(X1,X2)) = $quotient_e($sum($product(X2,X0),X1),X2) ) ),
inference(ennf_transformation,[],[f185]) ).
tff(f185,plain,
! [X2: $int,X1: $int,X0: $int] :
( $less(0,X2)
=> ( $sum(X0,$quotient_e(X1,X2)) = $quotient_e($sum($product(X2,X0),X1),X2) ) ),
inference(rectify,[],[f73]) ).
tff(f73,axiom,
! [X7: $int,X4: $int,X1: $int] :
( $less(0,X1)
=> ( $quotient_e($sum($product(X1,X7),X4),X1) = $sum(X7,$quotient_e(X4,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult1) ).
tff(f50539,plain,
( ~ spl16_540
| ~ spl16_96
| ~ spl16_358 ),
inference(avatar_split_clause,[],[f50514,f30589,f5158,f50537]) ).
tff(f50537,plain,
( spl16_540
<=> $less(1,$product(1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_540])]) ).
tff(f30589,plain,
( spl16_358
<=> divides1($product(1,abs1(1)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_358])]) ).
tff(f50514,plain,
( ~ $less(1,$product(1,abs1(1)))
| ~ spl16_96
| ~ spl16_358 ),
inference(resolution,[],[f30590,f5202]) ).
tff(f30590,plain,
( divides1($product(1,abs1(1)),-1)
| ~ spl16_358 ),
inference(avatar_component_clause,[],[f30589]) ).
tff(f50535,plain,
( ~ spl16_539
| spl16_78
| ~ spl16_358 ),
inference(avatar_split_clause,[],[f50531,f30589,f3221,f50533]) ).
tff(f50533,plain,
( spl16_539
<=> even1($product(1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_539])]) ).
tff(f50531,plain,
( ~ even1($product(1,abs1(1)))
| spl16_78
| ~ spl16_358 ),
inference(subsumption_resolution,[],[f50521,f5290]) ).
tff(f50521,plain,
( divides1(2,-1)
| ~ even1($product(1,abs1(1)))
| ~ spl16_358 ),
inference(resolution,[],[f30590,f834]) ).
tff(f50530,plain,
( spl16_538
| spl16_78
| ~ spl16_358 ),
inference(avatar_split_clause,[],[f50526,f30589,f3221,f50528]) ).
tff(f50528,plain,
( spl16_538
<=> odd1($product(1,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_538])]) ).
tff(f50526,plain,
( odd1($product(1,abs1(1)))
| spl16_78
| ~ spl16_358 ),
inference(subsumption_resolution,[],[f50520,f5290]) ).
tff(f50520,plain,
( odd1($product(1,abs1(1)))
| divides1(2,-1)
| ~ spl16_358 ),
inference(resolution,[],[f30590,f833]) ).
tff(f50387,plain,
( spl16_362
| spl16_537 ),
inference(avatar_split_clause,[],[f50383,f50385,f31178]) ).
tff(f50385,plain,
( spl16_537
<=> ! [X8: $int] :
( coprime1($product(2,X8),$sum($product(2,div2(1,2)),1))
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_537])]) ).
tff(f50383,plain,
! [X8: $int] :
( coprime1($product(2,X8),$sum($product(2,div2(1,2)),1))
| $less(div2(1,2),0)
| $less(X8,0) ),
inference(subsumption_resolution,[],[f50317,f2670]) ).
tff(f50317,plain,
! [X8: $int] :
( $less(X8,0)
| $less(div2(1,2),0)
| coprime1($product(2,X8),$sum($product(2,div2(1,2)),1))
| ( 1 != gcd1(X8,1) ) ),
inference(evaluation,[],[f50248]) ).
tff(f50248,plain,
! [X8: $int] :
( $less(1,0)
| $less(X8,0)
| coprime1($product(2,X8),$sum($product(2,div2(1,2)),1))
| ( 1 != gcd1(X8,1) )
| ( 0 = 2 )
| ~ $less(1,2)
| $less(div2(1,2),0) ),
inference(superposition,[],[f2474,f1813]) ).
tff(f2474,plain,
! [X16: $int,X17: $int] :
( ( 1 != gcd1(X16,$sum($product(2,X17),1)) )
| $less(X16,0)
| $less(X17,0)
| coprime1($product(2,X16),$sum($product(2,X17),1)) ),
inference(superposition,[],[f558,f508]) ).
tff(f50369,plain,
( spl16_535
| spl16_536
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f50362,f2687,f50367,f50364]) ).
tff(f50364,plain,
( spl16_535
<=> ! [X17: $int] :
( coprime1(2,$sum($product(2,X17),1))
| $less(X17,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_535])]) ).
tff(f50367,plain,
( spl16_536
<=> ! [X18: $int,X19: $int] : ~ coprime1(X18,X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_536])]) ).
tff(f50362,plain,
( ! [X18: $int,X19: $int,X17: $int] :
( ~ coprime1(X18,X19)
| coprime1(2,$sum($product(2,X17),1))
| $less(X17,0) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f50327,f8945]) ).
tff(f8945,plain,
( ! [X70: $int,X71: $int,X69: $int] :
( ( 1 = gcd1(X70,gcd1(X71,X69)) )
| ~ coprime1(X70,X71) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f8807,f2688]) ).
tff(f8807,plain,
! [X70: $int,X71: $int,X69: $int] :
( ~ coprime1(X70,X71)
| ~ coprime1(X69,1)
| ( 1 = gcd1(X70,gcd1(X71,X69)) ) ),
inference(superposition,[],[f765,f1238]) ).
tff(f1238,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( gcd1(1,X2) = gcd1(X0,gcd1(X1,X2)) )
| ~ coprime1(X0,X1) ),
inference(superposition,[],[f547,f559]) ).
tff(f765,plain,
! [X2: $int,X3: $int] :
( ( 1 = gcd1(X3,X2) )
| ~ coprime1(X2,X3) ),
inference(superposition,[],[f559,f520]) ).
tff(f50327,plain,
! [X18: $int,X19: $int,X17: $int] :
( coprime1(2,$sum($product(2,X17),1))
| ( 1 != gcd1(X18,gcd1(X19,$sum($product(2,X17),1))) )
| ~ coprime1(X18,X19)
| $less(X17,0) ),
inference(evaluation,[],[f50257]) ).
tff(f50257,plain,
! [X18: $int,X19: $int,X17: $int] :
( ( 1 != gcd1(X18,gcd1(X19,$sum($product(2,X17),1))) )
| $less(X17,0)
| coprime1($product(2,1),$sum($product(2,X17),1))
| $less(1,0)
| ~ coprime1(X18,X19) ),
inference(superposition,[],[f2474,f1238]) ).
tff(f50105,plain,
( spl16_534
| spl16_362
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f50101,f2687,f31178,f50103]) ).
tff(f50103,plain,
( spl16_534
<=> ! [X8: $int] :
( $less(X8,0)
| ( 1 = gcd1(X8,$sum($product(2,div2(1,2)),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_534])]) ).
tff(f50101,plain,
( ! [X8: $int] :
( $less(div2(1,2),0)
| $less(X8,0)
| ( 1 = gcd1(X8,$sum($product(2,div2(1,2)),1)) ) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f50095,f2688]) ).
tff(f50095,plain,
! [X8: $int] :
( ( 1 = gcd1(X8,$sum($product(2,div2(1,2)),1)) )
| ~ coprime1($product(2,X8),1)
| $less(X8,0)
| $less(div2(1,2),0) ),
inference(evaluation,[],[f50093]) ).
tff(f50093,plain,
! [X8: $int] :
( ( 1 = gcd1(X8,$sum($product(2,div2(1,2)),1)) )
| $less(X8,0)
| ~ $less(1,2)
| ( 0 = 2 )
| ~ coprime1($product(2,X8),1)
| $less(div2(1,2),0)
| $less(1,0) ),
inference(superposition,[],[f2464,f1813]) ).
tff(f2464,plain,
! [X6: $int,X7: $int] :
( ~ coprime1($product(2,X6),$sum($product(2,X7),1))
| $less(X6,0)
| $less(X7,0)
| ( 1 = gcd1(X6,$sum($product(2,X7),1)) ) ),
inference(superposition,[],[f508,f559]) ).
tff(f50070,plain,
( spl16_262
| spl16_533 ),
inference(avatar_split_clause,[],[f50066,f50068,f14789]) ).
tff(f50068,plain,
( spl16_533
<=> ! [X20: $int,X19: $int] :
( ( 0 = mod2(gcd1(X19,0),X20) )
| ( 0 = X20 )
| ~ $less(X19,0)
| ~ $less(0,X20)
| ~ divides1(X20,X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_533])]) ).
tff(f50066,plain,
! [X21: $int,X19: $int,X20: $int] :
( ( 0 = mod2(gcd1(X19,0),X20) )
| ~ divides1(X20,X19)
| $less(X21,0)
| ~ $less(0,X20)
| ~ $less(X19,0)
| ( 0 = X20 ) ),
inference(subsumption_resolution,[],[f50065,f466]) ).
tff(f50065,plain,
! [X21: $int,X19: $int,X20: $int] :
( $less(X21,0)
| ( 0 = mod2(gcd1(X19,0),X20) )
| ( 0 = X20 )
| ~ divides1(X20,$product(X20,X21))
| ~ divides1(X20,X19)
| ~ $less(X19,0)
| ~ $less(0,X20) ),
inference(subsumption_resolution,[],[f49966,f579]) ).
tff(f49966,plain,
! [X21: $int,X19: $int,X20: $int] :
( ( 0 = X20 )
| ( 0 = mod2(gcd1(X19,0),X20) )
| ~ $less(X19,0)
| $less(X21,0)
| $less(gcd1(X19,0),0)
| ~ divides1(X20,$product(X20,X21))
| ~ $less(0,X20)
| ~ divides1(X20,X19) ),
inference(resolution,[],[f2274,f1610]) ).
tff(f1610,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,$sum(X2,gcd1(X0,0)))
| ~ divides1(X1,X0)
| ~ divides1(X1,X2)
| ~ $less(X0,0) ),
inference(superposition,[],[f586,f562]) ).
tff(f50063,plain,
( spl16_262
| spl16_532 ),
inference(avatar_split_clause,[],[f50059,f50061,f14789]) ).
tff(f50061,plain,
( spl16_532
<=> ! [X4: $int,X5: $int] :
( $less(X4,0)
| ~ divides1($uminus(X5),X4)
| ( 0 = X5 )
| ~ $less(0,X5)
| ( 0 = mod2(X4,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_532])]) ).
tff(f50059,plain,
! [X6: $int,X4: $int,X5: $int] :
( $less(X4,0)
| $less(X6,0)
| ( 0 = mod2(X4,X5) )
| ~ $less(0,X5)
| ( 0 = X5 )
| ~ divides1($uminus(X5),X4) ),
inference(subsumption_resolution,[],[f49961,f11011]) ).
tff(f11011,plain,
! [X0: $int,X1: $int] : divides1($uminus(X0),$product(X0,X1)),
inference(resolution,[],[f2723,f717]) ).
tff(f2723,plain,
! [X21: $int,X22: $int] : divides1(X21,$uminus($product(X21,X22))),
inference(evaluation,[],[f2713]) ).
tff(f2713,plain,
! [X21: $int,X22: $int] : divides1(X21,$uminus($product($uminus($uminus(X21)),X22))),
inference(resolution,[],[f693,f691]) ).
tff(f691,plain,
! [X4: $int,X5: $int] : divides1(X4,$product($uminus(X4),X5)),
inference(resolution,[],[f515,f466]) ).
tff(f49961,plain,
! [X6: $int,X4: $int,X5: $int] :
( ~ $less(0,X5)
| ( 0 = mod2(X4,X5) )
| $less(X6,0)
| ~ divides1($uminus(X5),X4)
| $less(X4,0)
| ~ divides1($uminus(X5),$product(X5,X6))
| ( 0 = X5 ) ),
inference(resolution,[],[f2274,f1042]) ).
tff(f1042,plain,
! [X10: $int,X8: $int,X9: $int] :
( divides1(X8,$sum(X10,X9))
| ~ divides1($uminus(X8),X9)
| ~ divides1($uminus(X8),X10) ),
inference(resolution,[],[f475,f515]) ).
tff(f475,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X2,$sum(X1,X0))
| ~ divides1(X2,X0)
| ~ divides1(X2,X1) ),
inference(cnf_transformation,[],[f383]) ).
tff(f383,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X2,$sum(X1,X0))
| ~ divides1(X2,X1)
| ~ divides1(X2,X0) ),
inference(rectify,[],[f354]) ).
tff(f354,plain,
! [X1: $int,X0: $int,X2: $int] :
( divides1(X2,$sum(X0,X1))
| ~ divides1(X2,X0)
| ~ divides1(X2,X1) ),
inference(flattening,[],[f353]) ).
tff(f353,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X2,$sum(X0,X1))
| ~ divides1(X2,X1)
| ~ divides1(X2,X0) ),
inference(ennf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X2,X0)
=> ( divides1(X2,X1)
=> divides1(X2,$sum(X0,X1)) ) ),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X18: $int,X19: $int,X0: $int] :
( divides1(X0,X18)
=> ( divides1(X0,X19)
=> divides1(X0,$sum(X18,X19)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_plusr) ).
tff(f50057,plain,
( spl16_262
| spl16_531 ),
inference(avatar_split_clause,[],[f50053,f50055,f14789]) ).
tff(f50055,plain,
( spl16_531
<=> ! [X11: $int,X10: $int] :
( ~ $less(0,X11)
| ( 0 = X11 )
| ( 0 = mod2(abs1(X10),X11) )
| ~ divides1(X11,X10)
| ~ $less(X10,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_531])]) ).
tff(f50053,plain,
! [X10: $int,X11: $int,X12: $int] :
( ~ $less(0,X11)
| ~ $less(X10,0)
| ~ divides1(X11,X10)
| $less(X12,0)
| ( 0 = mod2(abs1(X10),X11) )
| ( 0 = X11 ) ),
inference(subsumption_resolution,[],[f50052,f466]) ).
tff(f50052,plain,
! [X10: $int,X11: $int,X12: $int] :
( ( 0 = mod2(abs1(X10),X11) )
| ~ divides1(X11,$product(X11,X12))
| ~ $less(X10,0)
| ~ $less(0,X11)
| ( 0 = X11 )
| $less(X12,0)
| ~ divides1(X11,X10) ),
inference(subsumption_resolution,[],[f49963,f568]) ).
tff(f568,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(rectify,[],[f121]) ).
tff(f121,plain,
! [X1: $int] : ~ $less(abs1(X1),0),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
! [X1: $int] : $lesseq(0,abs1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_pos) ).
tff(f49963,plain,
! [X10: $int,X11: $int,X12: $int] :
( ( 0 = mod2(abs1(X10),X11) )
| ~ $less(0,X11)
| $less(abs1(X10),0)
| ( 0 = X11 )
| ~ divides1(X11,$product(X11,X12))
| ~ $less(X10,0)
| ~ divides1(X11,X10)
| $less(X12,0) ),
inference(resolution,[],[f2274,f1611]) ).
tff(f1611,plain,
! [X3: $int,X4: $int,X5: $int] :
( divides1(X4,$sum(X5,abs1(X3)))
| ~ $less(X3,0)
| ~ divides1(X4,X5)
| ~ divides1(X4,X3) ),
inference(superposition,[],[f586,f584]) ).
tff(f50050,plain,
( spl16_262
| spl16_530 ),
inference(avatar_split_clause,[],[f50046,f50048,f14789]) ).
tff(f50048,plain,
( spl16_530
<=> ! [X0: $int,X1: $int,X3: $int] :
( ( 0 = mod2(X0,X1) )
| ~ divides1(X0,X3)
| ~ divides1(X3,X0)
| ~ divides1(X1,X3)
| ( 0 = X1 )
| ~ $less(0,X1)
| $less(X0,0)
| ( X0 = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_530])]) ).
tff(f50046,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = mod2(X0,X1) )
| ( X0 = X3 )
| $less(X0,0)
| ~ $less(0,X1)
| ( 0 = X1 )
| ~ divides1(X1,X3)
| ~ divides1(X3,X0)
| ~ divides1(X0,X3)
| $less(X2,0) ),
inference(subsumption_resolution,[],[f49960,f466]) ).
tff(f49960,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ divides1(X1,X3)
| ( 0 = mod2(X0,X1) )
| ~ divides1(X0,X3)
| $less(X2,0)
| ~ divides1(X3,X0)
| ~ $less(0,X1)
| ( 0 = X1 )
| ( X0 = X3 )
| $less(X0,0)
| ~ divides1(X1,$product(X1,X2)) ),
inference(resolution,[],[f2274,f1685]) ).
tff(f1685,plain,
! [X24: $int,X22: $int,X25: $int,X23: $int] :
( divides1(X24,$sum(X25,X23))
| ~ divides1(X24,X22)
| ~ divides1(X24,X25)
| ~ divides1(X22,X23)
| ~ divides1(X23,X22)
| ( X22 = X23 ) ),
inference(superposition,[],[f586,f510]) ).
tff(f50043,plain,
( spl16_262
| spl16_529 ),
inference(avatar_split_clause,[],[f50039,f50041,f14789]) ).
tff(f50041,plain,
( spl16_529
<=> ! [X13: $int,X14: $int] :
( ( 0 = mod2($uminus(X13),X14) )
| ( 0 = X14 )
| ~ divides1($uminus(X14),X13)
| $less($uminus(X13),0)
| ~ $less(0,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_529])]) ).
tff(f50039,plain,
! [X14: $int,X15: $int,X13: $int] :
( ( 0 = mod2($uminus(X13),X14) )
| ~ $less(0,X14)
| $less($uminus(X13),0)
| ~ divides1($uminus(X14),X13)
| ( 0 = X14 )
| $less(X15,0) ),
inference(subsumption_resolution,[],[f49964,f11011]) ).
tff(f49964,plain,
! [X14: $int,X15: $int,X13: $int] :
( ~ $less(0,X14)
| ( 0 = mod2($uminus(X13),X14) )
| ~ divides1($uminus(X14),X13)
| ~ divides1($uminus(X14),$product(X14,X15))
| $less($uminus(X13),0)
| ( 0 = X14 )
| $less(X15,0) ),
inference(resolution,[],[f2274,f1603]) ).
tff(f1603,plain,
! [X10: $int,X11: $int,X12: $int] :
( divides1(X10,$sum(X12,$uminus(X11)))
| ~ divides1($uminus(X10),X11)
| ~ divides1($uminus(X10),X12) ),
inference(resolution,[],[f586,f515]) ).
tff(f50036,plain,
( spl16_262
| spl16_528 ),
inference(avatar_split_clause,[],[f50032,f50034,f14789]) ).
tff(f50034,plain,
( spl16_528
<=> ! [X16: $int,X17: $int] :
( ( 0 = mod2($uminus(X16),X17) )
| ( 0 = X17 )
| ~ divides1(X17,X16)
| $less($uminus(X16),0)
| ~ $less(0,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_528])]) ).
tff(f50032,plain,
! [X18: $int,X16: $int,X17: $int] :
( ( 0 = mod2($uminus(X16),X17) )
| ~ $less(0,X17)
| $less(X18,0)
| $less($uminus(X16),0)
| ~ divides1(X17,X16)
| ( 0 = X17 ) ),
inference(subsumption_resolution,[],[f49965,f466]) ).
tff(f49965,plain,
! [X18: $int,X16: $int,X17: $int] :
( $less(X18,0)
| ( 0 = mod2($uminus(X16),X17) )
| $less($uminus(X16),0)
| ~ divides1(X17,$product(X17,X18))
| ~ $less(0,X17)
| ( 0 = X17 )
| ~ divides1(X17,X16) ),
inference(resolution,[],[f2274,f586]) ).
tff(f49959,plain,
( spl16_526
| spl16_527 ),
inference(avatar_split_clause,[],[f49950,f49957,f49954]) ).
tff(f49954,plain,
( spl16_526
<=> ! [X22: $int] :
( ~ odd1(X22)
| $less(sK13(X22),0)
| ( 0 != mod2(X22,2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_526])]) ).
tff(f49957,plain,
( spl16_527
<=> ! [X23: $int] :
( $less(X23,0)
| divides1(2,$sum($product(2,X23),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_527])]) ).
tff(f49950,plain,
! [X22: $int,X23: $int] :
( $less(X23,0)
| ~ odd1(X22)
| divides1(2,$sum($product(2,X23),1))
| ( 0 != mod2(X22,2) )
| $less(sK13(X22),0) ),
inference(evaluation,[],[f49938]) ).
tff(f49938,plain,
! [X22: $int,X23: $int] :
( ( 0 = 2 )
| divides1(2,$sum($product(2,X23),1))
| $less(sK13(X22),0)
| ( 0 != mod2(X22,2) )
| ~ $less(0,2)
| ~ odd1(X22)
| $less(1,0)
| $less(X23,0) ),
inference(superposition,[],[f2271,f2282]) ).
tff(f2271,plain,
! [X6: $int,X7: $int,X5: $int] :
( ( 0 != mod2(X7,X5) )
| divides1(X5,$sum($product(X5,X6),X7))
| $less(X7,0)
| ( 0 = X5 )
| ~ $less(0,X5)
| $less(X6,0) ),
inference(superposition,[],[f462,f539]) ).
tff(f462,plain,
! [X0: $int,X1: $int] :
( ( 0 != mod2(X1,X0) )
| ( 0 = X0 )
| divides1(X0,X1) ),
inference(cnf_transformation,[],[f374]) ).
tff(f374,plain,
! [X0: $int,X1: $int] :
( ( 0 != mod2(X1,X0) )
| ( 0 = X0 )
| divides1(X0,X1) ),
inference(rectify,[],[f274]) ).
tff(f274,plain,
! [X1: $int,X0: $int] :
( ( 0 != mod2(X0,X1) )
| ( 0 = X1 )
| divides1(X1,X0) ),
inference(flattening,[],[f273]) ).
tff(f273,plain,
! [X0: $int,X1: $int] :
( divides1(X1,X0)
| ( 0 != mod2(X0,X1) )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f197]) ).
tff(f197,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( ( 0 = mod2(X0,X1) )
=> divides1(X1,X0) ) ),
inference(rectify,[],[f77]) ).
tff(f77,axiom,
! [X0: $int,X18: $int] :
( ( 0 != X18 )
=> ( ( 0 = mod2(X0,X18) )
=> divides1(X18,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_divides_computer) ).
tff(f49927,plain,
( spl16_524
| ~ spl16_525 ),
inference(avatar_split_clause,[],[f49896,f49925,f49922]) ).
tff(f49922,plain,
( spl16_524
<=> ! [X4: $int] :
( $less(0,X4)
| $less(div2(X4,1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_524])]) ).
tff(f49925,plain,
( spl16_525
<=> $less(0,mod2(0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_525])]) ).
tff(f49896,plain,
! [X4: $int] :
( ~ $less(0,mod2(0,1))
| $less(0,X4)
| $less(div2(X4,1),0) ),
inference(evaluation,[],[f49883]) ).
tff(f49883,plain,
! [X4: $int] :
( ~ $less(0,1)
| ~ $less(0,mod2(0,1))
| ( 0 = 1 )
| $less(div2(X4,1),0)
| $less(0,X4)
| $less(0,0) ),
inference(superposition,[],[f2270,f1819]) ).
tff(f1819,plain,
! [X0: $int] : ( $sum($product(1,div2(X0,1)),0) = X0 ),
inference(evaluation,[],[f1811]) ).
tff(f1811,plain,
! [X0: $int] :
( ( $sum($product(1,div2(X0,1)),0) = X0 )
| ( 0 = 1 ) ),
inference(superposition,[],[f511,f543]) ).
tff(f2270,plain,
! [X2: $int,X3: $int,X4: $int] :
( $less(0,$sum($product(X2,X3),X4))
| $less(X4,0)
| ~ $less(0,X2)
| ( 0 = X2 )
| $less(X3,0)
| ~ $less(0,mod2(X4,X2)) ),
inference(superposition,[],[f455,f539]) ).
tff(f455,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod2(X1,X0))
| $less(0,X1)
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f368]) ).
tff(f368,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ $less(0,mod2(X1,X0))
| $less(0,X1) ),
inference(rectify,[],[f272]) ).
tff(f272,plain,
! [X1: $int,X0: $int] :
( ( 0 = X1 )
| ~ $less(0,mod2(X0,X1))
| $less(0,X0) ),
inference(flattening,[],[f271]) ).
tff(f271,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,mod2(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(ennf_transformation,[],[f205]) ).
tff(f205,plain,
! [X1: $int,X0: $int] :
( ( ( 0 != X1 )
& ~ $less(0,X0) )
=> ~ $less(0,mod2(X0,X1)) ),
inference(rectify,[],[f128]) ).
tff(f128,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(0,X1)
& ( 0 != X7 ) )
=> ~ $less(0,mod2(X1,X7)) ),
inference(theory_normalization,[],[f18]) ).
tff(f18,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(X1,0)
& ( 0 != X7 ) )
=> $lesseq(mod2(X1,X7),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_neg) ).
tff(f48419,plain,
( spl16_461
| ~ spl16_523
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f48378,f6371,f3221,f48417,f42207]) ).
tff(f42207,plain,
( spl16_461
<=> ! [X0: $int] : ~ divides1(2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_461])]) ).
tff(f48417,plain,
( spl16_523
<=> divides1(2,$uminus(abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_523])]) ).
tff(f48378,plain,
( ! [X0: $int] :
( ~ divides1(2,$uminus(abs1(1)))
| ~ divides1(2,X0) )
| spl16_78
| ~ spl16_111 ),
inference(resolution,[],[f22477,f1328]) ).
tff(f1328,plain,
! [X14: $int,X15: $int] :
( ~ odd1(gcd1(X14,X15))
| ~ divides1(2,X15)
| ~ divides1(2,X14) ),
inference(resolution,[],[f553,f533]) ).
tff(f22477,plain,
( ! [X37: $int] : odd1(gcd1($uminus(abs1(1)),X37))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1546]) ).
tff(f1546,plain,
! [X40: $int,X38: $int,X39: $int] : ( gcd1($uminus(X38),X39) = gcd1(X38,$sum(X39,$uminus($product(X40,$uminus(X38))))) ),
inference(superposition,[],[f473,f540]) ).
tff(f22152,plain,
( ! [X7: $int] : odd1(gcd1(abs1(1),X7))
| spl16_78
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f22091,f5290]) ).
tff(f22091,plain,
( ! [X7: $int] :
( odd1(gcd1(abs1(1),X7))
| divides1(2,-1) )
| ~ spl16_111 ),
inference(resolution,[],[f8424,f833]) ).
tff(f8424,plain,
( ! [X19: $int] : divides1(gcd1(abs1(1),X19),-1)
| ~ spl16_111 ),
inference(superposition,[],[f755,f6372]) ).
tff(f755,plain,
! [X4: $int,X5: $int] : divides1(gcd1(X4,X5),$uminus(X4)),
inference(superposition,[],[f595,f473]) ).
tff(f595,plain,
! [X0: $int,X1: $int] : divides1(gcd1(X1,X0),X1),
inference(cnf_transformation,[],[f443]) ).
tff(f443,plain,
! [X0: $int,X1: $int] : divides1(gcd1(X1,X0),X1),
inference(rectify,[],[f196]) ).
tff(f196,plain,
! [X1: $int,X0: $int] : divides1(gcd1(X0,X1),X0),
inference(rectify,[],[f82]) ).
tff(f82,axiom,
! [X0: $int,X18: $int] : divides1(gcd1(X0,X18),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_def1) ).
tff(f48359,plain,
( ~ spl16_521
| spl16_522
| spl16_6 ),
inference(avatar_split_clause,[],[f48352,f630,f48357,f48354]) ).
tff(f48354,plain,
( spl16_521
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum(sK11,$uminus(sK12)),$product(2,sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_521])]) ).
tff(f48352,plain,
( ! [X39: $int] :
( ( 1 = $product(X39,$sum(sK11,$uminus(sK12))) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$product(2,sK12)) )
| ~ divides1($product(X39,$sum(sK11,$uminus(sK12))),1) )
| spl16_6 ),
inference(subsumption_resolution,[],[f48199,f571]) ).
tff(f48199,plain,
( ! [X39: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$product(2,sK12)) )
| ~ divides1($product(X39,$sum(sK11,$uminus(sK12))),1)
| ( 1 = $product(X39,$sum(sK11,$uminus(sK12))) )
| ~ divides1(1,$product(X39,$sum(sK11,$uminus(sK12)))) )
| spl16_6 ),
inference(superposition,[],[f631,f1702]) ).
tff(f48345,plain,
( ~ spl16_519
| spl16_520
| spl16_55 ),
inference(avatar_split_clause,[],[f48338,f2343,f48343,f48340]) ).
tff(f48340,plain,
( spl16_519
<=> ( 1 = gcd1($sum($product(2,sK11),1),$product(2,sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_519])]) ).
tff(f2343,plain,
( spl16_55
<=> ( 1 = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).
tff(f48338,plain,
( ! [X38: $int] :
( ( 1 = $product(X38,$sum($product(2,sK11),1)) )
| ( 1 != gcd1($sum($product(2,sK11),1),$product(2,sK12)) )
| ~ divides1($product(X38,$sum($product(2,sK11),1)),1) )
| spl16_55 ),
inference(subsumption_resolution,[],[f48198,f571]) ).
tff(f48198,plain,
( ! [X38: $int] :
( ( 1 = $product(X38,$sum($product(2,sK11),1)) )
| ~ divides1($product(X38,$sum($product(2,sK11),1)),1)
| ~ divides1(1,$product(X38,$sum($product(2,sK11),1)))
| ( 1 != gcd1($sum($product(2,sK11),1),$product(2,sK12)) ) )
| spl16_55 ),
inference(superposition,[],[f2344,f1702]) ).
tff(f2344,plain,
( ( 1 != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_55 ),
inference(avatar_component_clause,[],[f2343]) ).
tff(f48050,plain,
( ~ spl16_518
| spl16_150
| spl16_3
| spl16_6 ),
inference(avatar_split_clause,[],[f48046,f630,f619,f7951,f48048]) ).
tff(f48048,plain,
( spl16_518
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$product(2,$sum(sK11,$uminus(sK12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_518])]) ).
tff(f48046,plain,
( $less($sum(sK11,$uminus(sK12)),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$product(2,$sum(sK11,$uminus(sK12)))) )
| spl16_3
| spl16_6 ),
inference(subsumption_resolution,[],[f47815,f620]) ).
tff(f47815,plain,
( $less($sum(sK11,$uminus(sK12)),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$product(2,$sum(sK11,$uminus(sK12)))) )
| $less(sK12,0)
| spl16_6 ),
inference(superposition,[],[f631,f2465]) ).
tff(f47270,plain,
( ~ spl16_407
| spl16_513 ),
inference(avatar_contradiction_clause,[],[f47269]) ).
tff(f47269,plain,
( $false
| ~ spl16_407
| spl16_513 ),
inference(subsumption_resolution,[],[f47266,f36788]) ).
tff(f36788,plain,
( odd1(sK11)
| ~ spl16_407 ),
inference(avatar_component_clause,[],[f36787]) ).
tff(f36787,plain,
( spl16_407
<=> odd1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_407])]) ).
tff(f47266,plain,
( ~ odd1(sK11)
| spl16_513 ),
inference(resolution,[],[f46186,f594]) ).
tff(f594,plain,
! [X0: $int] :
( even1($sum(X0,1))
| ~ odd1(X0) ),
inference(cnf_transformation,[],[f257]) ).
tff(f257,plain,
! [X0: $int] :
( ~ odd1(X0)
| even1($sum(X0,1)) ),
inference(ennf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: $int] :
( odd1(X0)
=> even1($sum(X0,1)) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X14: $int] :
( odd1(X14)
=> even1($sum(X14,1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_even) ).
tff(f46186,plain,
( ~ even1($sum(sK11,1))
| spl16_513 ),
inference(avatar_component_clause,[],[f46185]) ).
tff(f46185,plain,
( spl16_513
<=> even1($sum(sK11,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_513])]) ).
tff(f46203,plain,
( ~ spl16_516
| spl16_405 ),
inference(avatar_split_clause,[],[f46175,f36345,f46196]) ).
tff(f46196,plain,
( spl16_516
<=> even1($sum(sK11,gcd1(0,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_516])]) ).
tff(f36345,plain,
( spl16_405
<=> even1($sum(sK11,gcd1(sK12,0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_405])]) ).
tff(f46175,plain,
( ~ even1($sum(sK11,gcd1(0,sK12)))
| spl16_405 ),
inference(superposition,[],[f36346,f520]) ).
tff(f36346,plain,
( ~ even1($sum(sK11,gcd1(sK12,0)))
| spl16_405 ),
inference(avatar_component_clause,[],[f36345]) ).
tff(f46202,plain,
( ~ spl16_513
| ~ spl16_517
| spl16_405 ),
inference(avatar_split_clause,[],[f46178,f36345,f46200,f46185]) ).
tff(f46200,plain,
( spl16_517
<=> coprime1($uminus(sK12),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_517])]) ).
tff(f46178,plain,
( ~ coprime1($uminus(sK12),0)
| ~ even1($sum(sK11,1))
| spl16_405 ),
inference(superposition,[],[f36346,f774]) ).
tff(f774,plain,
! [X12: $int,X13: $int] :
( ( 1 = gcd1(X12,X13) )
| ~ coprime1($uminus(X12),X13) ),
inference(superposition,[],[f473,f559]) ).
tff(f46198,plain,
( ~ spl16_516
| spl16_405 ),
inference(avatar_split_clause,[],[f46174,f36345,f46196]) ).
tff(f46174,plain,
( ~ even1($sum(sK11,gcd1(0,sK12)))
| spl16_405 ),
inference(superposition,[],[f36346,f520]) ).
tff(f46194,plain,
( ~ spl16_513
| ~ spl16_515
| spl16_405 ),
inference(avatar_split_clause,[],[f46177,f36345,f46192,f46185]) ).
tff(f46192,plain,
( spl16_515
<=> coprime1(0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_515])]) ).
tff(f46177,plain,
( ~ coprime1(0,sK12)
| ~ even1($sum(sK11,1))
| spl16_405 ),
inference(superposition,[],[f36346,f765]) ).
tff(f46190,plain,
( ~ spl16_513
| ~ spl16_514
| spl16_405 ),
inference(avatar_split_clause,[],[f46176,f36345,f46188,f46185]) ).
tff(f46188,plain,
( spl16_514
<=> coprime1(sK12,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_514])]) ).
tff(f46176,plain,
( ~ coprime1(sK12,0)
| ~ even1($sum(sK11,1))
| spl16_405 ),
inference(superposition,[],[f36346,f559]) ).
tff(f46183,plain,
( ~ spl16_512
| spl16_3
| spl16_405 ),
inference(avatar_split_clause,[],[f46179,f36345,f619,f46181]) ).
tff(f46181,plain,
( spl16_512
<=> even1($sum(sK11,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_512])]) ).
tff(f46179,plain,
( ~ even1($sum(sK11,sK12))
| spl16_3
| spl16_405 ),
inference(subsumption_resolution,[],[f46173,f620]) ).
tff(f46173,plain,
( ~ even1($sum(sK11,sK12))
| $less(sK12,0)
| spl16_405 ),
inference(superposition,[],[f36346,f565]) ).
tff(f45119,plain,
( spl16_511
| ~ spl16_390 ),
inference(avatar_split_clause,[],[f45114,f33402,f45117]) ).
tff(f45117,plain,
( spl16_511
<=> lt_nat1(sK1(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_511])]) ).
tff(f33402,plain,
( spl16_390
<=> $less(sK1(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_390])]) ).
tff(f45114,plain,
( lt_nat1(sK1(abs1(1)),0)
| ~ spl16_390 ),
inference(evaluation,[],[f45111]) ).
tff(f45111,plain,
( lt_nat1(sK1(abs1(1)),0)
| $less(0,0)
| ~ spl16_390 ),
inference(resolution,[],[f33403,f577]) ).
tff(f577,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| $less(X0,0)
| lt_nat1(X1,X0) ),
inference(cnf_transformation,[],[f434]) ).
tff(f434,plain,
! [X0: $int,X1: $int] :
( ( lt_nat1(X1,X0)
| $less(X0,0)
| ~ $less(X1,X0) )
& ( ( ~ $less(X0,0)
& $less(X1,X0) )
| ~ lt_nat1(X1,X0) ) ),
inference(flattening,[],[f433]) ).
tff(f433,plain,
! [X0: $int,X1: $int] :
( ( lt_nat1(X1,X0)
| $less(X0,0)
| ~ $less(X1,X0) )
& ( ( ~ $less(X0,0)
& $less(X1,X0) )
| ~ lt_nat1(X1,X0) ) ),
inference(nnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: $int,X1: $int] :
( lt_nat1(X1,X0)
<=> ( ~ $less(X0,0)
& $less(X1,X0) ) ),
inference(rectify,[],[f145]) ).
tff(f145,plain,
! [X7: $int,X1: $int] :
( ( ~ $less(X7,0)
& $less(X1,X7) )
<=> lt_nat1(X1,X7) ),
inference(theory_normalization,[],[f26]) ).
tff(f26,axiom,
! [X7: $int,X1: $int] :
( ( $lesseq(0,X7)
& $less(X1,X7) )
<=> lt_nat1(X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lt_nat_def) ).
tff(f33403,plain,
( $less(sK1(abs1(1)),0)
| ~ spl16_390 ),
inference(avatar_component_clause,[],[f33402]) ).
tff(f45099,plain,
( spl16_371
| ~ spl16_388 ),
inference(avatar_split_clause,[],[f45095,f33395,f31795]) ).
tff(f31795,plain,
( spl16_371
<=> $less(sK1(abs1(1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_371])]) ).
tff(f33395,plain,
( spl16_388
<=> lt_nat1(sK1(abs1(1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_388])]) ).
tff(f45095,plain,
( $less(sK1(abs1(1)),1)
| ~ spl16_388 ),
inference(resolution,[],[f33396,f575]) ).
tff(f575,plain,
! [X0: $int,X1: $int] :
( ~ lt_nat1(X1,X0)
| $less(X1,X0) ),
inference(cnf_transformation,[],[f434]) ).
tff(f33396,plain,
( lt_nat1(sK1(abs1(1)),1)
| ~ spl16_388 ),
inference(avatar_component_clause,[],[f33395]) ).
tff(f44116,plain,
( spl16_510
| ~ spl16_394 ),
inference(avatar_split_clause,[],[f44112,f33468,f44114]) ).
tff(f44114,plain,
( spl16_510
<=> lt_nat1(sK1(1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_510])]) ).
tff(f33468,plain,
( spl16_394
<=> $less(sK1(1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_394])]) ).
tff(f44112,plain,
( lt_nat1(sK1(1),0)
| ~ spl16_394 ),
inference(evaluation,[],[f44111]) ).
tff(f44111,plain,
( $less(0,0)
| lt_nat1(sK1(1),0)
| ~ spl16_394 ),
inference(resolution,[],[f33469,f577]) ).
tff(f33469,plain,
( $less(sK1(1),0)
| ~ spl16_394 ),
inference(avatar_component_clause,[],[f33468]) ).
tff(f43847,plain,
( spl16_507
| ~ spl16_508
| ~ spl16_509
| spl16_5 ),
inference(avatar_split_clause,[],[f43759,f627,f43845,f43842,f43839]) ).
tff(f43845,plain,
( spl16_509
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum(2,$product(2,sK11)),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_509])]) ).
tff(f627,plain,
( spl16_5
<=> ( gcd1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
tff(f43759,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(2,$product(2,sK11)),$sum($product(2,sK12),1)) )
| ~ divides1($product(1,$sum($product(2,sK12),1)),1)
| ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 )
| spl16_5 ),
inference(evaluation,[],[f43730]) ).
tff(f43730,plain,
( ( $uminus($product(1,$sum($product(2,sK12),1))) = -1 )
| ~ divides1($product(1,$sum($product(2,sK12),1)),1)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),1),$sum($product(2,sK12),1)) )
| spl16_5 ),
inference(superposition,[],[f628,f910]) ).
tff(f628,plain,
( ( gcd1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_5 ),
inference(avatar_component_clause,[],[f627]) ).
tff(f43837,plain,
( ~ spl16_492
| ~ spl16_506
| spl16_52
| spl16_5 ),
inference(avatar_split_clause,[],[f43748,f627,f2333,f43835,f43783]) ).
tff(f43783,plain,
( spl16_492
<=> divides1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_492])]) ).
tff(f43748,plain,
( ( 0 = $sum($product(2,sK12),1) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),0) )
| ~ divides1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| spl16_5 ),
inference(superposition,[],[f628,f1528]) ).
tff(f43833,plain,
( ~ spl16_500
| spl16_5 ),
inference(avatar_split_clause,[],[f43738,f627,f43811]) ).
tff(f43738,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) )
| spl16_5 ),
inference(superposition,[],[f628,f520]) ).
tff(f43832,plain,
( spl16_52
| ~ spl16_505
| spl16_5 ),
inference(avatar_split_clause,[],[f43740,f627,f43830,f2333]) ).
tff(f43830,plain,
( spl16_505
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),mod2($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_505])]) ).
tff(f43740,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) )
| ( 0 = $sum($product(2,sK12),1) )
| spl16_5 ),
inference(superposition,[],[f628,f545]) ).
tff(f43828,plain,
( ~ spl16_503
| spl16_504
| spl16_5 ),
inference(avatar_split_clause,[],[f43752,f627,f43826,f43823]) ).
tff(f43823,plain,
( spl16_503
<=> prime1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_503])]) ).
tff(f43826,plain,
( spl16_504
<=> ! [X7: $int] :
( ( 1 = X7 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X7,$sum($product(2,sK12),1)) )
| ( -1 = X7 )
| ~ divides1(X7,$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = X7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_504])]) ).
tff(f43752,plain,
( ! [X7: $int] :
( ( 1 = X7 )
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = X7 )
| ~ divides1(X7,$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| ( -1 = X7 )
| ~ prime1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X7,$sum($product(2,sK12),1)) ) )
| spl16_5 ),
inference(superposition,[],[f628,f1978]) ).
tff(f43821,plain,
( ~ spl16_497
| ~ spl16_487
| spl16_5 ),
inference(avatar_split_clause,[],[f43734,f627,f43765,f43800]) ).
tff(f43800,plain,
( spl16_497
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($sum($product(2,sK11),1),gcd1($product(1,$sum($product(2,sK12),1)),0)),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_497])]) ).
tff(f43734,plain,
( ~ $less($product(1,$sum($product(2,sK12),1)),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),gcd1($product(1,$sum($product(2,sK12),1)),0)),$sum($product(2,sK12),1)) )
| spl16_5 ),
inference(superposition,[],[f628,f562]) ).
tff(f43820,plain,
( ~ spl16_501
| spl16_491
| ~ spl16_502
| spl16_5 ),
inference(avatar_split_clause,[],[f43758,f627,f43818,f43779,f43815]) ).
tff(f43758,plain,
( ~ divides1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))
| $less($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),0)
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_5 ),
inference(superposition,[],[f628,f2223]) ).
tff(f43813,plain,
( ~ spl16_500
| spl16_5 ),
inference(avatar_split_clause,[],[f43739,f627,f43811]) ).
tff(f43739,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) )
| spl16_5 ),
inference(superposition,[],[f628,f520]) ).
tff(f43809,plain,
( ~ spl16_498
| spl16_499
| spl16_5 ),
inference(avatar_split_clause,[],[f43732,f627,f43807,f43804]) ).
tff(f43804,plain,
( spl16_498
<=> prime1($product(1,$sum($product(2,sK12),1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_498])]) ).
tff(f43807,plain,
( spl16_499
<=> ! [X0: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),X0),$sum($product(2,sK12),1)) )
| ( -1 = X0 )
| ~ divides1(X0,$product(1,$sum($product(2,sK12),1)))
| ( 1 = X0 )
| ( $product(1,$sum($product(2,sK12),1)) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_499])]) ).
tff(f43732,plain,
( ! [X0: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),X0),$sum($product(2,sK12),1)) )
| ( $product(1,$sum($product(2,sK12),1)) = X0 )
| ( 1 = X0 )
| ~ divides1(X0,$product(1,$sum($product(2,sK12),1)))
| ( -1 = X0 )
| ~ prime1($product(1,$sum($product(2,sK12),1))) )
| spl16_5 ),
inference(superposition,[],[f628,f608]) ).
tff(f43802,plain,
( spl16_496
| ~ spl16_497
| spl16_5 ),
inference(avatar_split_clause,[],[f43731,f627,f43800,f43797]) ).
tff(f43731,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($sum($product(2,sK11),1),gcd1($product(1,$sum($product(2,sK12),1)),0)),$sum($product(2,sK12),1)) )
| $less($uminus($product(1,$sum($product(2,sK12),1))),0)
| spl16_5 ),
inference(superposition,[],[f628,f786]) ).
tff(f43795,plain,
( spl16_493
| spl16_494
| spl16_495
| spl16_5 ),
inference(avatar_split_clause,[],[f43753,f627,f43793,f43790,f43787]) ).
tff(f43787,plain,
( spl16_493
<=> ! [X8: $int] :
( ~ divides1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),X8)
| ~ prime1(X8)
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = X8 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X8,$sum($product(2,sK12),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_493])]) ).
tff(f43790,plain,
( spl16_494
<=> ( 1 = $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_494])]) ).
tff(f43793,plain,
( spl16_495
<=> ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_495])]) ).
tff(f43753,plain,
( ! [X8: $int] :
( ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = -1 )
| ( 1 = $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) )
| ~ divides1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),X8)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X8,$sum($product(2,sK12),1)) )
| ( $sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))) = X8 )
| ~ prime1(X8) )
| spl16_5 ),
inference(superposition,[],[f628,f1978]) ).
tff(f43785,plain,
( spl16_148
| ~ spl16_149
| ~ spl16_492
| spl16_5 ),
inference(avatar_split_clause,[],[f43757,f627,f43783,f7758,f7755]) ).
tff(f43757,plain,
( ~ divides1($sum($product(2,sK12),1),$sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != $sum($product(2,sK12),1) )
| $less($sum($product(2,sK12),1),0)
| spl16_5 ),
inference(superposition,[],[f628,f2214]) ).
tff(f43781,plain,
( ~ spl16_489
| spl16_148
| ~ spl16_490
| spl16_491
| spl16_5 ),
inference(avatar_split_clause,[],[f43771,f627,f43779,f43776,f7755,f43773]) ).
tff(f43773,plain,
( spl16_489
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_489])]) ).
tff(f43776,plain,
( spl16_490
<=> even1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_490])]) ).
tff(f43771,plain,
( $less($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),0)
| ~ even1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| $less($sum($product(2,sK12),1),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),2)) )
| spl16_5 ),
inference(subsumption_resolution,[],[f43754,f492]) ).
tff(f43754,plain,
( $less($sum($product(2,sK12),1),0)
| $less($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),div2($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),2)) )
| ~ odd1($sum($product(2,sK12),1))
| ~ even1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))))
| spl16_5 ),
inference(superposition,[],[f628,f2077]) ).
tff(f43770,plain,
( ~ spl16_487
| ~ spl16_488
| spl16_5 ),
inference(avatar_split_clause,[],[f43735,f627,f43768,f43765]) ).
tff(f43735,plain,
( ( gcd1($sum($sum($product(2,sK11),1),abs1($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ $less($product(1,$sum($product(2,sK12),1)),0)
| spl16_5 ),
inference(superposition,[],[f628,f584]) ).
tff(f43763,plain,
( spl16_52
| ~ spl16_486
| spl16_5 ),
inference(avatar_split_clause,[],[f43737,f627,f43761,f2333]) ).
tff(f43761,plain,
( spl16_486
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$remainder_e($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_486])]) ).
tff(f43737,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$remainder_e($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1))) )
| ( 0 = $sum($product(2,sK12),1) )
| spl16_5 ),
inference(superposition,[],[f628,f509]) ).
tff(f43729,plain,
( spl16_34
| ~ spl16_442 ),
inference(avatar_split_clause,[],[f43728,f40331,f1351]) ).
tff(f40331,plain,
( spl16_442
<=> coprime1(2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_442])]) ).
tff(f43728,plain,
( ! [X2: $int] : divides1(2,X2)
| ~ spl16_442 ),
inference(subsumption_resolution,[],[f43720,f564]) ).
tff(f43720,plain,
( ! [X2: $int] :
( divides1(2,X2)
| ~ divides1(2,0) )
| ~ spl16_442 ),
inference(resolution,[],[f40332,f1202]) ).
tff(f40332,plain,
( coprime1(2,0)
| ~ spl16_442 ),
inference(avatar_component_clause,[],[f40331]) ).
tff(f43727,plain,
( spl16_162
| ~ spl16_442 ),
inference(avatar_contradiction_clause,[],[f43726]) ).
tff(f43726,plain,
( $false
| spl16_162
| ~ spl16_442 ),
inference(subsumption_resolution,[],[f43718,f8612]) ).
tff(f8612,plain,
( ~ coprime1(0,2)
| spl16_162 ),
inference(avatar_component_clause,[],[f8611]) ).
tff(f8611,plain,
( spl16_162
<=> coprime1(0,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_162])]) ).
tff(f43718,plain,
( coprime1(0,2)
| ~ spl16_442 ),
inference(resolution,[],[f40332,f2911]) ).
tff(f43725,plain,
( spl16_34
| ~ spl16_442 ),
inference(avatar_split_clause,[],[f43717,f40331,f1351]) ).
tff(f43717,plain,
( ! [X0: $int] : divides1(2,X0)
| ~ spl16_442 ),
inference(resolution,[],[f40332,f1478]) ).
tff(f1478,plain,
! [X0: $int,X1: $int] :
( ~ coprime1(X0,0)
| divides1(X0,X1) ),
inference(resolution,[],[f1419,f546]) ).
tff(f1419,plain,
! [X2: $int,X3: $int] : divides1(X2,$product(0,X3)),
inference(resolution,[],[f823,f466]) ).
tff(f43723,plain,
~ spl16_442,
inference(avatar_contradiction_clause,[],[f43722]) ).
tff(f43722,plain,
( $false
| ~ spl16_442 ),
inference(evaluation,[],[f43716]) ).
tff(f43716,plain,
( $less(2,0)
| ( 1 = 2 )
| ~ spl16_442 ),
inference(resolution,[],[f40332,f775]) ).
tff(f775,plain,
! [X1: $int] :
( ~ coprime1(X1,0)
| $less(X1,0)
| ( 1 = X1 ) ),
inference(superposition,[],[f565,f559]) ).
tff(f43715,plain,
( ~ spl16_7
| ~ spl16_431
| spl16_470 ),
inference(avatar_contradiction_clause,[],[f43714]) ).
tff(f43714,plain,
( $false
| ~ spl16_7
| ~ spl16_431
| spl16_470 ),
inference(subsumption_resolution,[],[f43713,f635]) ).
tff(f635,plain,
( prime1(3)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f634]) ).
tff(f634,plain,
( spl16_7
<=> prime1(3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
tff(f43713,plain,
( ~ prime1(3)
| ~ spl16_431
| spl16_470 ),
inference(evaluation,[],[f43712]) ).
tff(f43712,plain,
( ~ prime1($sum($product(2,1),1))
| ~ spl16_431
| spl16_470 ),
inference(superposition,[],[f42915,f39236]) ).
tff(f39236,plain,
( ( 1 = sK11 )
| ~ spl16_431 ),
inference(avatar_component_clause,[],[f39235]) ).
tff(f39235,plain,
( spl16_431
<=> ( 1 = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_431])]) ).
tff(f42915,plain,
( ~ prime1($sum($product(2,sK11),1))
| spl16_470 ),
inference(avatar_component_clause,[],[f42914]) ).
tff(f42914,plain,
( spl16_470
<=> prime1($sum($product(2,sK11),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_470])]) ).
tff(f43711,plain,
( ~ spl16_484
| ~ spl16_485
| spl16_51 ),
inference(avatar_split_clause,[],[f43672,f2329,f43709,f43706]) ).
tff(f43706,plain,
( spl16_484
<=> divides1($sum($product(2,sK12),1),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_484])]) ).
tff(f43709,plain,
( spl16_485
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_485])]) ).
tff(f2329,plain,
( spl16_51
<=> ( gcd1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12))) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_51])]) ).
tff(f43672,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),sK11) )
| ~ divides1($sum($product(2,sK12),1),sK12)
| spl16_51 ),
inference(superposition,[],[f2330,f1531]) ).
tff(f2330,plain,
( ( gcd1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_51 ),
inference(avatar_component_clause,[],[f2329]) ).
tff(f43704,plain,
( spl16_210
| spl16_482
| spl16_483
| spl16_51 ),
inference(avatar_split_clause,[],[f43681,f2329,f43702,f43699,f11269]) ).
tff(f11269,plain,
( spl16_210
<=> ( 1 = $sum($product(2,sK12),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_210])]) ).
tff(f43699,plain,
( spl16_482
<=> ( -1 = $sum($product(2,sK12),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_482])]) ).
tff(f43702,plain,
( spl16_483
<=> ! [X8: $int] :
( ~ prime1(X8)
| ( $sum($product(2,sK12),1) = X8 )
| ~ divides1($sum($product(2,sK12),1),X8)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X8,$sum(sK11,$uminus(sK12))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_483])]) ).
tff(f43681,plain,
( ! [X8: $int] :
( ~ prime1(X8)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X8,$sum(sK11,$uminus(sK12))) )
| ( -1 = $sum($product(2,sK12),1) )
| ~ divides1($sum($product(2,sK12),1),X8)
| ( $sum($product(2,sK12),1) = X8 )
| ( 1 = $sum($product(2,sK12),1) ) )
| spl16_51 ),
inference(superposition,[],[f2330,f1978]) ).
tff(f43696,plain,
( ~ spl16_480
| spl16_481
| spl16_51 ),
inference(avatar_split_clause,[],[f43680,f2329,f43694,f43691]) ).
tff(f43691,plain,
( spl16_480
<=> prime1($sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_480])]) ).
tff(f43694,plain,
( spl16_481
<=> ! [X7: $int] :
( ( gcd1(X7,$sum(sK11,$uminus(sK12))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( -1 = X7 )
| ( 1 = X7 )
| ~ divides1(X7,$sum($product(2,sK12),1))
| ( $sum($product(2,sK12),1) = X7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_481])]) ).
tff(f43680,plain,
( ! [X7: $int] :
( ( gcd1(X7,$sum(sK11,$uminus(sK12))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( $sum($product(2,sK12),1) = X7 )
| ~ divides1(X7,$sum($product(2,sK12),1))
| ~ prime1($sum($product(2,sK12),1))
| ( 1 = X7 )
| ( -1 = X7 ) )
| spl16_51 ),
inference(superposition,[],[f2330,f1978]) ).
tff(f43689,plain,
( ~ spl16_479
| spl16_87
| spl16_51 ),
inference(avatar_split_clause,[],[f43667,f2329,f4494,f43687]) ).
tff(f43687,plain,
( spl16_479
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK12),1),$sum(sK11,gcd1(sK12,0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_479])]) ).
tff(f43667,plain,
( $less($uminus(sK12),0)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$sum(sK11,gcd1(sK12,0))) )
| spl16_51 ),
inference(superposition,[],[f2330,f786]) ).
tff(f43664,plain,
( spl16_478
| ~ spl16_431
| ~ spl16_465 ),
inference(avatar_split_clause,[],[f43649,f42896,f39235,f43662]) ).
tff(f43662,plain,
( spl16_478
<=> ( $sum(1,$uminus(sK12)) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_478])]) ).
tff(f43649,plain,
( ( $sum(1,$uminus(sK12)) = -1 )
| ~ spl16_431
| ~ spl16_465 ),
inference(superposition,[],[f42897,f39236]) ).
tff(f42897,plain,
( ( $sum(sK11,$uminus(sK12)) = -1 )
| ~ spl16_465 ),
inference(avatar_component_clause,[],[f42896]) ).
tff(f43419,plain,
( spl16_477
| ~ spl16_412
| ~ spl16_455 ),
inference(avatar_split_clause,[],[f43415,f40762,f36853,f43417]) ).
tff(f43417,plain,
( spl16_477
<=> odd1(abs1($uminus(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_477])]) ).
tff(f36853,plain,
( spl16_412
<=> $less($uminus(sK11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_412])]) ).
tff(f40762,plain,
( spl16_455
<=> ! [X18: $int] : odd1(gcd1($uminus(sK11),X18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_455])]) ).
tff(f43415,plain,
( odd1(abs1($uminus(sK11)))
| ~ spl16_412
| ~ spl16_455 ),
inference(subsumption_resolution,[],[f43383,f36854]) ).
tff(f36854,plain,
( $less($uminus(sK11),0)
| ~ spl16_412 ),
inference(avatar_component_clause,[],[f36853]) ).
tff(f43383,plain,
( ~ $less($uminus(sK11),0)
| odd1(abs1($uminus(sK11)))
| ~ spl16_455 ),
inference(superposition,[],[f40763,f882]) ).
tff(f40763,plain,
( ! [X18: $int] : odd1(gcd1($uminus(sK11),X18))
| ~ spl16_455 ),
inference(avatar_component_clause,[],[f40762]) ).
tff(f43364,plain,
( spl16_476
| spl16_362 ),
inference(avatar_split_clause,[],[f43360,f31178,f43362]) ).
tff(f43362,plain,
( spl16_476
<=> ! [X22: $int] :
( ~ even1(div2(X22,2))
| ( $sum(div2(div2(X22,2),2),div2(div2(1,2),2)) = div2(div2(X22,2),2) )
| even1(X22)
| $less(X22,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_476])]) ).
tff(f43360,plain,
! [X22: $int] :
( $less(div2(1,2),0)
| ~ even1(div2(X22,2))
| $less(X22,0)
| even1(X22)
| ( $sum(div2(div2(X22,2),2),div2(div2(1,2),2)) = div2(div2(X22,2),2) ) ),
inference(subsumption_resolution,[],[f43254,f578]) ).
tff(f43254,plain,
! [X22: $int] :
( ( $sum(div2(div2(X22,2),2),div2(div2(1,2),2)) = div2(div2(X22,2),2) )
| ~ even1(div2(X22,2))
| $less(div2(X22,2),0)
| even1(X22)
| $less(X22,0)
| $less(div2(1,2),0) ),
inference(superposition,[],[f2394,f2395]) ).
tff(f2394,plain,
! [X2: $int,X3: $int] :
( ( div2($sum(X2,X3),2) = $sum(div2(X2,2),div2(X3,2)) )
| $less(X2,0)
| ~ even1(X2)
| $less(X3,0) ),
inference(subsumption_resolution,[],[f2391,f578]) ).
tff(f2391,plain,
! [X2: $int,X3: $int] :
( $less(div2(X2,2),0)
| ( div2($sum(X2,X3),2) = $sum(div2(X2,2),div2(X3,2)) )
| $less(X2,0)
| ~ even1(X2)
| $less(X3,0) ),
inference(evaluation,[],[f2359]) ).
tff(f2359,plain,
! [X2: $int,X3: $int] :
( $less(div2(X2,2),0)
| $less(X2,0)
| ~ $less(0,2)
| $less(X3,0)
| ~ even1(X2)
| ( div2($sum(X2,X3),2) = $sum(div2(X2,2),div2(X3,2)) ) ),
inference(superposition,[],[f504,f451]) ).
tff(f43349,plain,
( spl16_362
| spl16_475 ),
inference(avatar_split_clause,[],[f43345,f43347,f31178]) ).
tff(f43347,plain,
( spl16_475
<=> ! [X28: $int] :
( ( div2(div2(X28,2),2) = $sum(div2(sK13(X28),2),div2(div2(1,2),2)) )
| $less(sK13(X28),0)
| ~ odd1(X28)
| ~ even1(sK13(X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_475])]) ).
tff(f43345,plain,
! [X28: $int] :
( ( div2(div2(X28,2),2) = $sum(div2(sK13(X28),2),div2(div2(1,2),2)) )
| ~ even1(sK13(X28))
| ~ odd1(X28)
| $less(sK13(X28),0)
| $less(div2(1,2),0) ),
inference(duplicate_literal_removal,[],[f43258]) ).
tff(f43258,plain,
! [X28: $int] :
( ~ odd1(X28)
| $less(sK13(X28),0)
| $less(div2(1,2),0)
| ~ even1(sK13(X28))
| $less(sK13(X28),0)
| ( div2(div2(X28,2),2) = $sum(div2(sK13(X28),2),div2(div2(1,2),2)) ) ),
inference(superposition,[],[f2394,f2387]) ).
tff(f43182,plain,
( spl16_362
| spl16_474 ),
inference(avatar_split_clause,[],[f43080,f43180,f31178]) ).
tff(f43180,plain,
( spl16_474
<=> ! [X28: $int] :
( $less(sK13(X28),0)
| ~ even1(sK13(X28))
| $less(sK14(sK13(X28)),0)
| ~ odd1(X28)
| ( $sum(sK14(sK13(X28)),div2(div2(1,2),2)) = div2(div2(X28,2),2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_474])]) ).
tff(f43080,plain,
! [X28: $int] :
( $less(sK13(X28),0)
| ( $sum(sK14(sK13(X28)),div2(div2(1,2),2)) = div2(div2(X28,2),2) )
| ~ odd1(X28)
| $less(sK14(sK13(X28)),0)
| $less(div2(1,2),0)
| ~ even1(sK13(X28)) ),
inference(superposition,[],[f2381,f2387]) ).
tff(f2381,plain,
! [X0: $int,X1: $int] :
( ( $sum(sK14(X0),div2(X1,2)) = div2($sum(X0,X1),2) )
| $less(X1,0)
| $less(sK14(X0),0)
| ~ even1(X0) ),
inference(evaluation,[],[f2358]) ).
tff(f2358,plain,
! [X0: $int,X1: $int] :
( ( $sum(sK14(X0),div2(X1,2)) = div2($sum(X0,X1),2) )
| $less(X1,0)
| ~ even1(X0)
| ~ $less(0,2)
| $less(sK14(X0),0) ),
inference(superposition,[],[f504,f599]) ).
tff(f43165,plain,
( spl16_362
| spl16_473 ),
inference(avatar_split_clause,[],[f43076,f43163,f31178]) ).
tff(f43163,plain,
( spl16_473
<=> ! [X22: $int] :
( ~ even1(div2(X22,2))
| $less(sK14(div2(X22,2)),0)
| even1(X22)
| ( $sum(sK14(div2(X22,2)),div2(div2(1,2),2)) = div2(div2(X22,2),2) )
| $less(X22,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_473])]) ).
tff(f43076,plain,
! [X22: $int] :
( ~ even1(div2(X22,2))
| $less(div2(1,2),0)
| $less(X22,0)
| ( $sum(sK14(div2(X22,2)),div2(div2(1,2),2)) = div2(div2(X22,2),2) )
| even1(X22)
| $less(sK14(div2(X22,2)),0) ),
inference(superposition,[],[f2381,f2395]) ).
tff(f42993,plain,
( ~ spl16_472
| ~ spl16_431
| spl16_463 ),
inference(avatar_split_clause,[],[f42987,f42889,f39235,f42991]) ).
tff(f42991,plain,
( spl16_472
<=> prime1($sum(1,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_472])]) ).
tff(f42889,plain,
( spl16_463
<=> prime1($sum(sK11,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_463])]) ).
tff(f42987,plain,
( ~ prime1($sum(1,$uminus(sK12)))
| ~ spl16_431
| spl16_463 ),
inference(superposition,[],[f42890,f39236]) ).
tff(f42890,plain,
( ~ prime1($sum(sK11,$uminus(sK12)))
| spl16_463 ),
inference(avatar_component_clause,[],[f42889]) ).
tff(f42919,plain,
( ~ spl16_470
| spl16_471
| spl16_55 ),
inference(avatar_split_clause,[],[f42618,f2343,f42917,f42914]) ).
tff(f42917,plain,
( spl16_471
<=> ! [X636: $int] :
( ( 1 != gcd1(X636,$sum($product(2,sK12),1)) )
| ( -1 = X636 )
| ( 1 = X636 )
| ~ divides1(X636,$sum($product(2,sK11),1))
| ( $sum($product(2,sK11),1) = X636 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_471])]) ).
tff(f42618,plain,
( ! [X636: $int] :
( ( 1 != gcd1(X636,$sum($product(2,sK12),1)) )
| ( $sum($product(2,sK11),1) = X636 )
| ~ divides1(X636,$sum($product(2,sK11),1))
| ( 1 = X636 )
| ( -1 = X636 )
| ~ prime1($sum($product(2,sK11),1)) )
| spl16_55 ),
inference(superposition,[],[f2344,f1978]) ).
tff(f42912,plain,
( spl16_207
| spl16_468
| spl16_469
| spl16_55 ),
inference(avatar_split_clause,[],[f42834,f2343,f42910,f42907,f11257]) ).
tff(f42910,plain,
( spl16_469
<=> ! [X636: $int] :
( ( $sum($product(2,sK11),1) = X636 )
| ~ prime1(X636)
| ~ divides1($sum($product(2,sK11),1),X636)
| ( 1 != gcd1(X636,$sum($product(2,sK12),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_469])]) ).
tff(f42834,plain,
( ! [X636: $int] :
( ( $sum($product(2,sK11),1) = X636 )
| ( 1 != gcd1(X636,$sum($product(2,sK12),1)) )
| ( $sum($product(2,sK11),1) = -1 )
| ( 1 = $sum($product(2,sK11),1) )
| ~ divides1($sum($product(2,sK11),1),X636)
| ~ prime1(X636) )
| spl16_55 ),
inference(superposition,[],[f2344,f1978]) ).
tff(f42904,plain,
( spl16_465
| spl16_466
| spl16_467
| spl16_6 ),
inference(avatar_split_clause,[],[f42833,f630,f42902,f42899,f42896]) ).
tff(f42902,plain,
( spl16_467
<=> ! [X635: $int] :
( ( $sum(sK11,$uminus(sK12)) = X635 )
| ~ prime1(X635)
| ~ divides1($sum(sK11,$uminus(sK12)),X635)
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X635,$sum($product(2,sK12),1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_467])]) ).
tff(f42833,plain,
( ! [X635: $int] :
( ( $sum(sK11,$uminus(sK12)) = X635 )
| ( 1 = $sum(sK11,$uminus(sK12)) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X635,$sum($product(2,sK12),1)) )
| ( $sum(sK11,$uminus(sK12)) = -1 )
| ~ divides1($sum(sK11,$uminus(sK12)),X635)
| ~ prime1(X635) )
| spl16_6 ),
inference(superposition,[],[f631,f1978]) ).
tff(f42894,plain,
( ~ spl16_463
| spl16_464
| spl16_6 ),
inference(avatar_split_clause,[],[f42617,f630,f42892,f42889]) ).
tff(f42892,plain,
( spl16_464
<=> ! [X635: $int] :
( ~ divides1(X635,$sum(sK11,$uminus(sK12)))
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X635,$sum($product(2,sK12),1)) )
| ( $sum(sK11,$uminus(sK12)) = X635 )
| ( 1 = X635 )
| ( -1 = X635 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_464])]) ).
tff(f42617,plain,
( ! [X635: $int] :
( ~ divides1(X635,$sum(sK11,$uminus(sK12)))
| ( -1 = X635 )
| ( 1 = X635 )
| ~ prime1($sum(sK11,$uminus(sK12)))
| ( $sum(sK11,$uminus(sK12)) = X635 )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1(X635,$sum($product(2,sK12),1)) ) )
| spl16_6 ),
inference(superposition,[],[f631,f1978]) ).
tff(f42214,plain,
( spl16_139
| ~ spl16_462
| ~ spl16_10
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f42210,f38374,f3221,f654,f42212,f7512]) ).
tff(f7512,plain,
( spl16_139
<=> ! [X92: $int] : ~ divides1(0,X92) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_139])]) ).
tff(f42212,plain,
( spl16_462
<=> divides1(0,$uminus(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_462])]) ).
tff(f654,plain,
( spl16_10
<=> even1(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
tff(f38374,plain,
( spl16_425
<=> ( -1 = $uminus(sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_425])]) ).
tff(f42210,plain,
( ! [X18: $int] :
( ~ divides1(0,$uminus(sK11))
| ~ divides1(0,X18) )
| ~ spl16_10
| spl16_78
| ~ spl16_425 ),
inference(subsumption_resolution,[],[f42163,f655]) ).
tff(f655,plain,
( even1(0)
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f654]) ).
tff(f42163,plain,
( ! [X18: $int] :
( ~ even1(0)
| ~ divides1(0,$uminus(sK11))
| ~ divides1(0,X18) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40649,f2212]) ).
tff(f40649,plain,
( ! [X32: $int] : ~ even1(gcd1($uminus(sK11),X32))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f1546]) ).
tff(f40620,plain,
( ! [X11: $int] : ~ even1(gcd1(sK11,X11))
| spl16_78
| ~ spl16_425 ),
inference(subsumption_resolution,[],[f40582,f5290]) ).
tff(f40582,plain,
( ! [X11: $int] :
( ~ even1(gcd1(sK11,X11))
| divides1(2,-1) )
| ~ spl16_425 ),
inference(resolution,[],[f39080,f834]) ).
tff(f39080,plain,
( ! [X16: $int] : divides1(gcd1(sK11,X16),-1)
| ~ spl16_425 ),
inference(superposition,[],[f755,f38375]) ).
tff(f38375,plain,
( ( -1 = $uminus(sK11) )
| ~ spl16_425 ),
inference(avatar_component_clause,[],[f38374]) ).
tff(f42209,plain,
( ~ spl16_460
| spl16_461
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f42151,f38374,f3221,f42207,f42204]) ).
tff(f42204,plain,
( spl16_460
<=> divides1(2,$uminus(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_460])]) ).
tff(f42151,plain,
( ! [X0: $int] :
( ~ divides1(2,X0)
| ~ divides1(2,$uminus(sK11)) )
| spl16_78
| ~ spl16_425 ),
inference(resolution,[],[f40649,f1329]) ).
tff(f42202,plain,
( ~ spl16_459
| spl16_78
| ~ spl16_412
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f42198,f38374,f36853,f3221,f42200]) ).
tff(f42200,plain,
( spl16_459
<=> even1(abs1($uminus(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_459])]) ).
tff(f42198,plain,
( ~ even1(abs1($uminus(sK11)))
| spl16_78
| ~ spl16_412
| ~ spl16_425 ),
inference(subsumption_resolution,[],[f42166,f36854]) ).
tff(f42166,plain,
( ~ even1(abs1($uminus(sK11)))
| ~ $less($uminus(sK11),0)
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40649,f882]) ).
tff(f41846,plain,
( ~ spl16_458
| ~ spl16_96
| ~ spl16_430 ),
inference(avatar_split_clause,[],[f41822,f39112,f5158,f41844]) ).
tff(f41844,plain,
( spl16_458
<=> $less(1,$product(1,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_458])]) ).
tff(f39112,plain,
( spl16_430
<=> divides1($product(1,sK11),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_430])]) ).
tff(f41822,plain,
( ~ $less(1,$product(1,sK11))
| ~ spl16_96
| ~ spl16_430 ),
inference(resolution,[],[f39113,f5202]) ).
tff(f39113,plain,
( divides1($product(1,sK11),-1)
| ~ spl16_430 ),
inference(avatar_component_clause,[],[f39112]) ).
tff(f41842,plain,
( spl16_457
| spl16_78
| ~ spl16_430 ),
inference(avatar_split_clause,[],[f41838,f39112,f3221,f41840]) ).
tff(f41840,plain,
( spl16_457
<=> odd1($product(1,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_457])]) ).
tff(f41838,plain,
( odd1($product(1,sK11))
| spl16_78
| ~ spl16_430 ),
inference(subsumption_resolution,[],[f41828,f5290]) ).
tff(f41828,plain,
( divides1(2,-1)
| odd1($product(1,sK11))
| ~ spl16_430 ),
inference(resolution,[],[f39113,f833]) ).
tff(f41837,plain,
( ~ spl16_456
| spl16_78
| ~ spl16_430 ),
inference(avatar_split_clause,[],[f41833,f39112,f3221,f41835]) ).
tff(f41835,plain,
( spl16_456
<=> even1($product(1,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_456])]) ).
tff(f41833,plain,
( ~ even1($product(1,sK11))
| spl16_78
| ~ spl16_430 ),
inference(subsumption_resolution,[],[f41829,f5290]) ).
tff(f41829,plain,
( ~ even1($product(1,sK11))
| divides1(2,-1)
| ~ spl16_430 ),
inference(resolution,[],[f39113,f834]) ).
tff(f40773,plain,
( spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40697,f38374,f3221,f40745]) ).
tff(f40745,plain,
( spl16_451
<=> ! [X43: $int] : odd1(gcd1(X43,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_451])]) ).
tff(f40697,plain,
( ! [X2: $int] : odd1(gcd1(X2,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f520]) ).
tff(f40621,plain,
( ! [X10: $int] : odd1(gcd1(sK11,X10))
| spl16_78
| ~ spl16_425 ),
inference(subsumption_resolution,[],[f40581,f5290]) ).
tff(f40581,plain,
( ! [X10: $int] :
( odd1(gcd1(sK11,X10))
| divides1(2,-1) )
| ~ spl16_425 ),
inference(resolution,[],[f39080,f833]) ).
tff(f40772,plain,
( spl16_452
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40738,f38374,f3221,f40750]) ).
tff(f40750,plain,
( spl16_452
<=> ! [X61: $int,X62: $int] : odd1(gcd1(gcd1(sK11,X61),X62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_452])]) ).
tff(f40738,plain,
( ! [X56: $int,X57: $int] : odd1(gcd1(gcd1(sK11,X56),X57))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1547]) ).
tff(f1547,plain,
! [X41: $int,X44: $int,X42: $int,X43: $int] : ( gcd1(X41,gcd1(X42,$sum(X43,$uminus($product(X44,gcd1(X41,X42)))))) = gcd1(gcd1(X41,X42),X43) ),
inference(superposition,[],[f547,f540]) ).
tff(f40771,plain,
( spl16_451
| spl16_418
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40716,f38374,f3221,f37952,f40745]) ).
tff(f37952,plain,
( spl16_418
<=> ( 0 = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_418])]) ).
tff(f40716,plain,
( ! [X26: $int] :
( ( 0 = sK11 )
| odd1(gcd1(X26,sK11)) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1564]) ).
tff(f1564,plain,
! [X10: $int,X11: $int] :
( ( gcd1(X11,mod2($uminus(X10),X11)) = gcd1(X10,X11) )
| ( 0 = X11 ) ),
inference(superposition,[],[f545,f473]) ).
tff(f40770,plain,
( spl16_454
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40700,f38374,f3221,f40757]) ).
tff(f40757,plain,
( spl16_454
<=> ! [X46: $int] : odd1(gcd1(X46,$uminus(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_454])]) ).
tff(f40700,plain,
( ! [X5: $int] : odd1(gcd1(X5,$uminus(sK11)))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f754]) ).
tff(f40769,plain,
( spl16_418
| spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40729,f38374,f3221,f40745,f37952]) ).
tff(f40729,plain,
( ! [X42: $int] :
( odd1(gcd1(X42,sK11))
| ( 0 = sK11 ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f509]) ).
tff(f40768,plain,
( spl16_449
| spl16_454
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40718,f38374,f3221,f40757,f40677]) ).
tff(f40677,plain,
( spl16_449
<=> ( 0 = $uminus(sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_449])]) ).
tff(f40718,plain,
( ! [X29: $int] :
( odd1(gcd1(X29,$uminus(sK11)))
| ( 0 = $uminus(sK11) ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1558]) ).
tff(f1558,plain,
! [X12: $int,X13: $int] :
( ( gcd1(X13,$uminus(X12)) = gcd1(X12,mod2(X13,$uminus(X12))) )
| ( 0 = $uminus(X12) ) ),
inference(superposition,[],[f545,f473]) ).
tff(f40767,plain,
( spl16_455
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40720,f38374,f3221,f40762]) ).
tff(f40720,plain,
( ! [X32: $int] : odd1(gcd1($uminus(sK11),X32))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1546]) ).
tff(f40766,plain,
( spl16_452
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40741,f38374,f3221,f40750]) ).
tff(f40741,plain,
( ! [X65: $int,X63: $int] : odd1(gcd1(gcd1(sK11,X63),X65))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1538]) ).
tff(f1538,plain,
! [X14: $int,X15: $int,X12: $int,X13: $int] : ( gcd1(gcd1(X12,X13),X15) = gcd1(X12,gcd1($sum(X13,$uminus($product(X14,X12))),X15)) ),
inference(superposition,[],[f547,f540]) ).
tff(f40765,plain,
( spl16_418
| spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40715,f38374,f3221,f40745,f37952]) ).
tff(f40715,plain,
( ! [X25: $int] :
( odd1(gcd1(X25,sK11))
| ( 0 = sK11 ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f545]) ).
tff(f40764,plain,
( spl16_433
| spl16_455
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40709,f38374,f3221,f40762,f39242]) ).
tff(f39242,plain,
( spl16_433
<=> ! [X8: $int] : ~ coprime1($uminus(sK11),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_433])]) ).
tff(f40709,plain,
( ! [X18: $int,X17: $int] :
( odd1(gcd1($uminus(sK11),X18))
| ~ coprime1($uminus(sK11),X17) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1476]) ).
tff(f1476,plain,
! [X36: $int,X37: $int,X35: $int] :
( ( gcd1(X35,$product(X36,X37)) = gcd1($uminus(X35),X37) )
| ~ coprime1($uminus(X35),X36) ),
inference(superposition,[],[f473,f460]) ).
tff(f40760,plain,
( spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40696,f38374,f3221,f40745]) ).
tff(f40696,plain,
( ! [X1: $int] : odd1(gcd1(X1,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f520]) ).
tff(f40759,plain,
( spl16_449
| spl16_454
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40732,f38374,f3221,f40757,f40677]) ).
tff(f40732,plain,
( ! [X46: $int] :
( odd1(gcd1(X46,$uminus(sK11)))
| ( 0 = $uminus(sK11) ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1499]) ).
tff(f1499,plain,
! [X10: $int,X11: $int] :
( ( gcd1(X11,$uminus(X10)) = gcd1(X10,$remainder_e(X11,$uminus(X10))) )
| ( 0 = $uminus(X10) ) ),
inference(superposition,[],[f509,f473]) ).
tff(f40755,plain,
( spl16_452
| spl16_453
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40740,f38374,f3221,f40753,f40750]) ).
tff(f40753,plain,
( spl16_453
<=> ! [X60: $int] : ~ coprime1(sK11,X60) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_453])]) ).
tff(f40740,plain,
( ! [X62: $int,X60: $int,X61: $int] :
( ~ coprime1(sK11,X60)
| odd1(gcd1(gcd1(sK11,X61),X62)) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1468]) ).
tff(f1468,plain,
! [X10: $int,X11: $int,X9: $int,X12: $int] :
( ( gcd1(X9,gcd1($product(X10,X11),X12)) = gcd1(gcd1(X9,X11),X12) )
| ~ coprime1(X9,X10) ),
inference(superposition,[],[f547,f460]) ).
tff(f40748,plain,
( spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40711,f38374,f3221,f40745]) ).
tff(f40711,plain,
( ! [X21: $int] : odd1(gcd1(X21,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f754]) ).
tff(f40747,plain,
( spl16_418
| spl16_451
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40730,f38374,f3221,f40745,f37952]) ).
tff(f40730,plain,
( ! [X43: $int] :
( odd1(gcd1(X43,sK11))
| ( 0 = sK11 ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40621,f1512]) ).
tff(f1512,plain,
! [X24: $int,X25: $int] :
( ( gcd1(X25,$remainder_e($uminus(X24),X25)) = gcd1(X24,X25) )
| ( 0 = X25 ) ),
inference(superposition,[],[f473,f509]) ).
tff(f40691,plain,
( spl16_450
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40625,f38374,f3221,f40681]) ).
tff(f40681,plain,
( spl16_450
<=> ! [X25: $int] : ~ even1(gcd1(X25,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_450])]) ).
tff(f40625,plain,
( ! [X1: $int] : ~ even1(gcd1(X1,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f520]) ).
tff(f40690,plain,
( spl16_448
| spl16_449
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40661,f38374,f3221,f40677,f40674]) ).
tff(f40674,plain,
( spl16_448
<=> ! [X29: $int] : ~ even1(gcd1(X29,$uminus(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_448])]) ).
tff(f40661,plain,
( ! [X46: $int] :
( ( 0 = $uminus(sK11) )
| ~ even1(gcd1(X46,$uminus(sK11))) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f1499]) ).
tff(f40689,plain,
( spl16_450
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40626,f38374,f3221,f40681]) ).
tff(f40626,plain,
( ! [X2: $int] : ~ even1(gcd1(X2,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f520]) ).
tff(f40688,plain,
( spl16_450
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40640,f38374,f3221,f40681]) ).
tff(f40640,plain,
( ! [X21: $int] : ~ even1(gcd1(X21,sK11))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f754]) ).
tff(f40687,plain,
( spl16_418
| spl16_450
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40659,f38374,f3221,f40681,f37952]) ).
tff(f40659,plain,
( ! [X43: $int] :
( ~ even1(gcd1(X43,sK11))
| ( 0 = sK11 ) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f1512]) ).
tff(f40686,plain,
( spl16_450
| spl16_418
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40658,f38374,f3221,f37952,f40681]) ).
tff(f40658,plain,
( ! [X42: $int] :
( ( 0 = sK11 )
| ~ even1(gcd1(X42,sK11)) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f509]) ).
tff(f40685,plain,
( spl16_448
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40629,f38374,f3221,f40674]) ).
tff(f40629,plain,
( ! [X5: $int] : ~ even1(gcd1(X5,$uminus(sK11)))
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f754]) ).
tff(f40684,plain,
( spl16_450
| spl16_418
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40645,f38374,f3221,f37952,f40681]) ).
tff(f40645,plain,
( ! [X26: $int] :
( ( 0 = sK11 )
| ~ even1(gcd1(X26,sK11)) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f1564]) ).
tff(f40683,plain,
( spl16_450
| spl16_418
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40644,f38374,f3221,f37952,f40681]) ).
tff(f40644,plain,
( ! [X25: $int] :
( ( 0 = sK11 )
| ~ even1(gcd1(X25,sK11)) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f545]) ).
tff(f40679,plain,
( spl16_448
| spl16_449
| spl16_78
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f40647,f38374,f3221,f40677,f40674]) ).
tff(f40647,plain,
( ! [X29: $int] :
( ( 0 = $uminus(sK11) )
| ~ even1(gcd1(X29,$uminus(sK11))) )
| spl16_78
| ~ spl16_425 ),
inference(superposition,[],[f40620,f1558]) ).
tff(f40497,plain,
( ~ spl16_447
| ~ spl16_96
| ~ spl16_434 ),
inference(avatar_split_clause,[],[f40485,f39245,f5158,f40495]) ).
tff(f40495,plain,
( spl16_447
<=> $less(1,$uminus(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_447])]) ).
tff(f39245,plain,
( spl16_434
<=> ! [X7: $int] : divides1($uminus(sK11),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_434])]) ).
tff(f40485,plain,
( ~ $less(1,$uminus(sK11))
| ~ spl16_96
| ~ spl16_434 ),
inference(resolution,[],[f39246,f5202]) ).
tff(f39246,plain,
( ! [X7: $int] : divides1($uminus(sK11),X7)
| ~ spl16_434 ),
inference(avatar_component_clause,[],[f39245]) ).
tff(f40390,plain,
( ~ spl16_446
| spl16_8
| ~ spl16_431 ),
inference(avatar_split_clause,[],[f40368,f39235,f638,f40388]) ).
tff(f40388,plain,
( spl16_446
<=> $less(1,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_446])]) ).
tff(f638,plain,
( spl16_8
<=> $less(sK11,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
tff(f40368,plain,
( ~ $less(1,sK12)
| spl16_8
| ~ spl16_431 ),
inference(superposition,[],[f639,f39236]) ).
tff(f639,plain,
( ~ $less(sK11,sK12)
| spl16_8 ),
inference(avatar_component_clause,[],[f638]) ).
tff(f40386,plain,
( ~ spl16_445
| spl16_397
| ~ spl16_431 ),
inference(avatar_split_clause,[],[f40369,f39235,f36311,f40384]) ).
tff(f40384,plain,
( spl16_445
<=> even1($sum(1,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_445])]) ).
tff(f36311,plain,
( spl16_397
<=> even1($sum(sK11,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_397])]) ).
tff(f40369,plain,
( ~ even1($sum(1,$uminus(sK12)))
| spl16_397
| ~ spl16_431 ),
inference(superposition,[],[f36312,f39236]) ).
tff(f36312,plain,
( ~ even1($sum(sK11,$uminus(sK12)))
| spl16_397 ),
inference(avatar_component_clause,[],[f36311]) ).
tff(f40345,plain,
( ~ spl16_443
| spl16_444 ),
inference(avatar_split_clause,[],[f40298,f40343,f40340]) ).
tff(f40340,plain,
( spl16_443
<=> ( 1 = $product(2,gcd1(1,0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_443])]) ).
tff(f40343,plain,
( spl16_444
<=> ! [X197: $int] :
( $less(X197,0)
| coprime1($product(2,X197),2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_444])]) ).
tff(f40298,plain,
! [X197: $int] :
( $less(X197,0)
| coprime1($product(2,X197),2)
| ( 1 != $product(2,gcd1(1,0)) ) ),
inference(evaluation,[],[f40254]) ).
tff(f40254,plain,
! [X197: $int] :
( $less(X197,0)
| $less(1,0)
| ( 1 != $product(2,gcd1(1,0)) )
| coprime1($product(2,X197),$product(2,1)) ),
inference(superposition,[],[f2146,f1597]) ).
tff(f2146,plain,
! [X21: $int,X20: $int] :
( ( 1 != $product(2,gcd1(X20,X21)) )
| $less(X20,0)
| coprime1($product(2,X20),$product(2,X21))
| $less(X21,0) ),
inference(superposition,[],[f558,f507]) ).
tff(f40333,plain,
( spl16_441
| spl16_442 ),
inference(avatar_split_clause,[],[f40300,f40331,f40328]) ).
tff(f40328,plain,
( spl16_441
<=> ! [X133: $int] : ( 1 != $product(2,gcd1(X133,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_441])]) ).
tff(f40300,plain,
! [X133: $int] :
( coprime1(2,0)
| ( 1 != $product(2,gcd1(X133,1)) ) ),
inference(evaluation,[],[f40226]) ).
tff(f40226,plain,
! [X133: $int] :
( $less(0,0)
| coprime1($product(2,1),$product(2,0))
| ( 1 != $product(2,gcd1(X133,1)) )
| $less(1,0) ),
inference(superposition,[],[f2146,f1597]) ).
tff(f40169,plain,
( spl16_440
| spl16_438 ),
inference(avatar_split_clause,[],[f40165,f40094,f40167]) ).
tff(f40167,plain,
( spl16_440
<=> ! [X22: $int,X21: $int] :
( ~ odd1(X21)
| ~ divides1(X22,X21)
| divides1(X22,gcd1(0,X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_440])]) ).
tff(f40094,plain,
( spl16_438
<=> ! [X93: $int] :
( ~ $less(X93,2)
| $less(X93,0)
| ~ even1(X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_438])]) ).
tff(f40165,plain,
! [X21: $int,X22: $int,X20: $int] :
( ~ even1(X20)
| ~ odd1(X21)
| divides1(X22,gcd1(0,X21))
| $less(X20,0)
| ~ $less(X20,2)
| ~ divides1(X22,X21) ),
inference(subsumption_resolution,[],[f40164,f12301]) ).
tff(f12301,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,2)
| ~ even1(X0)
| divides1(X1,X0)
| $less(X0,0) ),
inference(subsumption_resolution,[],[f12298,f564]) ).
tff(f12298,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X1,0)
| ~ even1(X0)
| $less(X0,0)
| divides1(X1,X0)
| ~ $less(X0,2) ),
inference(duplicate_literal_removal,[],[f12295]) ).
tff(f12295,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| ~ $less(X0,2)
| $less(X0,0)
| ~ even1(X0)
| ~ divides1(X1,0)
| divides1(X1,X0) ),
inference(superposition,[],[f1446,f471]) ).
tff(f471,plain,
! [X0: $int,X1: $int] :
( ( 0 = div2(X0,X1) )
| ~ $less(X0,X1)
| $less(X0,0) ),
inference(cnf_transformation,[],[f348]) ).
tff(f348,plain,
! [X0: $int,X1: $int] :
( ( 0 = div2(X0,X1) )
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(flattening,[],[f347]) ).
tff(f347,plain,
! [X1: $int,X0: $int] :
( ( 0 = div2(X0,X1) )
| $less(X0,0)
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f239]) ).
tff(f239,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X0,0)
& $less(X0,X1) )
=> ( 0 = div2(X0,X1) ) ),
inference(rectify,[],[f144]) ).
tff(f144,plain,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( 0 = div2(X1,X7) ) ),
inference(theory_normalization,[],[f22]) ).
tff(f22,axiom,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( 0 = div2(X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_inf) ).
tff(f1446,plain,
! [X18: $int,X17: $int] :
( ~ divides1(X18,div2(X17,2))
| $less(X17,0)
| divides1(X18,X17)
| ~ even1(X17) ),
inference(superposition,[],[f506,f451]) ).
tff(f506,plain,
! [X2: $int,X0: $int,X1: $int] :
( divides1(X1,$product(X2,X0))
| ~ divides1(X1,X0) ),
inference(cnf_transformation,[],[f394]) ).
tff(f394,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ divides1(X1,X0)
| divides1(X1,$product(X2,X0)) ),
inference(rectify,[],[f280]) ).
tff(f280,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ divides1(X1,X2)
| divides1(X1,$product(X0,X2)) ),
inference(ennf_transformation,[],[f181]) ).
tff(f181,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X1,X2)
=> divides1(X1,$product(X0,X2)) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X19: $int,X0: $int,X18: $int] :
( divides1(X0,X18)
=> divides1(X0,$product(X19,X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_multl) ).
tff(f40164,plain,
! [X21: $int,X22: $int,X20: $int] :
( ~ $less(X20,2)
| $less(X20,0)
| divides1(X22,gcd1(0,X21))
| ~ divides1(X22,X20)
| ~ even1(X20)
| ~ divides1(X22,X21)
| ~ odd1(X21) ),
inference(subsumption_resolution,[],[f39622,f6068]) ).
tff(f6068,plain,
! [X14: $int,X13: $int] :
( divides1(X14,gcd1(0,X13))
| ~ divides1(X14,X13)
| ~ $less(X13,0) ),
inference(superposition,[],[f866,f520]) ).
tff(f866,plain,
! [X4: $int,X5: $int] :
( divides1(X5,gcd1(X4,0))
| ~ divides1(X5,X4)
| ~ $less(X4,0) ),
inference(superposition,[],[f486,f562]) ).
tff(f39622,plain,
! [X21: $int,X22: $int,X20: $int] :
( ~ odd1(X21)
| ~ $less(X20,2)
| $less(X21,0)
| ~ even1(X20)
| $less(X20,0)
| ~ divides1(X22,X20)
| ~ divides1(X22,X21)
| divides1(X22,gcd1(0,X21)) ),
inference(superposition,[],[f553,f2104]) ).
tff(f2104,plain,
! [X0: $int,X1: $int] :
( ( gcd1(X0,X1) = gcd1(0,X1) )
| $less(X0,0)
| $less(X1,0)
| ~ $less(X0,2)
| ~ odd1(X1)
| ~ even1(X0) ),
inference(duplicate_literal_removal,[],[f2073]) ).
tff(f2073,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ~ $less(X0,2)
| ~ odd1(X1)
| ( gcd1(X0,X1) = gcd1(0,X1) )
| ~ even1(X0)
| $less(X0,0)
| $less(X0,0) ),
inference(superposition,[],[f503,f471]) ).
tff(f40146,plain,
( spl16_439
| spl16_438 ),
inference(avatar_split_clause,[],[f40142,f40094,f40144]) ).
tff(f40144,plain,
( spl16_439
<=> ! [X98: $int,X99: $int] :
( ~ divides1($uminus(X99),X98)
| $less(X98,0)
| divides1(X99,gcd1(0,X98))
| ~ odd1(X98) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_439])]) ).
tff(f40142,plain,
! [X98: $int,X99: $int,X97: $int] :
( ~ even1(X97)
| ~ divides1($uminus(X99),X98)
| ~ odd1(X98)
| ~ $less(X97,2)
| divides1(X99,gcd1(0,X98))
| $less(X98,0)
| $less(X97,0) ),
inference(subsumption_resolution,[],[f39651,f12301]) ).
tff(f39651,plain,
! [X98: $int,X99: $int,X97: $int] :
( ~ $less(X97,2)
| ~ divides1($uminus(X99),X97)
| $less(X98,0)
| $less(X97,0)
| divides1(X99,gcd1(0,X98))
| ~ even1(X97)
| ~ divides1($uminus(X99),X98)
| ~ odd1(X98) ),
inference(superposition,[],[f1325,f2104]) ).
tff(f1325,plain,
! [X8: $int,X9: $int,X7: $int] :
( divides1(X7,gcd1(X8,X9))
| ~ divides1($uminus(X7),X8)
| ~ divides1($uminus(X7),X9) ),
inference(resolution,[],[f553,f515]) ).
tff(f40096,plain,
( spl16_437
| spl16_438 ),
inference(avatar_split_clause,[],[f40089,f40094,f40091]) ).
tff(f40091,plain,
( spl16_437
<=> ! [X96: $int,X94: $int,X95: $int] :
( $less(X94,0)
| ~ odd1(X94)
| ~ divides1(X96,X94)
| divides1(X96,X95)
| ~ divides1(gcd1(0,X94),X95) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_437])]) ).
tff(f40089,plain,
! [X96: $int,X94: $int,X95: $int,X93: $int] :
( ~ $less(X93,2)
| $less(X94,0)
| ~ even1(X93)
| ~ divides1(gcd1(0,X94),X95)
| divides1(X96,X95)
| ~ divides1(X96,X94)
| ~ odd1(X94)
| $less(X93,0) ),
inference(subsumption_resolution,[],[f39650,f12301]) ).
tff(f39650,plain,
! [X96: $int,X94: $int,X95: $int,X93: $int] :
( ~ divides1(gcd1(0,X94),X95)
| ~ $less(X93,2)
| ~ divides1(X96,X94)
| $less(X94,0)
| divides1(X96,X95)
| $less(X93,0)
| ~ odd1(X94)
| ~ even1(X93)
| ~ divides1(X96,X93) ),
inference(superposition,[],[f1324,f2104]) ).
tff(f1324,plain,
! [X3: $int,X6: $int,X4: $int,X5: $int] :
( ~ divides1(gcd1(X4,X5),X6)
| ~ divides1(X3,X4)
| ~ divides1(X3,X5)
| divides1(X3,X6) ),
inference(resolution,[],[f553,f474]) ).
tff(f39256,plain,
( ~ spl16_435
| ~ spl16_96
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39232,f38374,f5158,f39249]) ).
tff(f39249,plain,
( spl16_435
<=> $less(1,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_435])]) ).
tff(f39232,plain,
( ~ $less(1,sK11)
| ~ spl16_96
| ~ spl16_425 ),
inference(resolution,[],[f39110,f5202]) ).
tff(f39110,plain,
( ! [X5: $int] : divides1(sK11,X5)
| ~ spl16_425 ),
inference(subsumption_resolution,[],[f39066,f2761]) ).
tff(f2761,plain,
! [X7: $int] : divides1(-1,X7),
inference(evaluation,[],[f2734]) ).
tff(f2734,plain,
! [X7: $int] : divides1($uminus(1),X7),
inference(resolution,[],[f717,f571]) ).
tff(f39066,plain,
( ! [X5: $int] :
( divides1(sK11,X5)
| ~ divides1(-1,X5) )
| ~ spl16_425 ),
inference(superposition,[],[f515,f38375]) ).
tff(f39255,plain,
( spl16_434
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39220,f38374,f39245]) ).
tff(f39220,plain,
( ! [X15: $int] : divides1($uminus(sK11),X15)
| ~ spl16_425 ),
inference(resolution,[],[f39110,f717]) ).
tff(f39254,plain,
( ~ spl16_435
| spl16_436
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39210,f38374,f39252,f39249]) ).
tff(f39252,plain,
( spl16_436
<=> ! [X2: $int] :
( ~ prime1(X2)
| ~ $less(sK11,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_436])]) ).
tff(f39210,plain,
( ! [X2: $int] :
( ~ prime1(X2)
| ~ $less(sK11,X2)
| ~ $less(1,sK11) )
| ~ spl16_425 ),
inference(resolution,[],[f39110,f551]) ).
tff(f551,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X1,X0)
| ~ $less(1,X1)
| ~ prime1(X0)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f421]) ).
tff(f421,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(1,X1)
| ~ divides1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ( $less(1,sK10(X0))
& divides1(sK10(X0),X0)
& $less(sK10(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f419,f420]) ).
tff(f420,plain,
! [X0: $int] :
( ? [X2: $int] :
( $less(1,X2)
& divides1(X2,X0)
& $less(X2,X0) )
=> ( $less(1,sK10(X0))
& divides1(sK10(X0),X0)
& $less(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f419,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(1,X1)
| ~ divides1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X2: $int] :
( $less(1,X2)
& divides1(X2,X0)
& $less(X2,X0) ) ) ),
inference(rectify,[],[f418]) ).
tff(f418,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(1,X1)
| ~ divides1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X1: $int] :
( $less(1,X1)
& divides1(X1,X0)
& $less(X1,X0) ) ) ),
inference(flattening,[],[f417]) ).
tff(f417,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(1,X1)
| ~ divides1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X1: $int] :
( $less(1,X1)
& divides1(X1,X0)
& $less(X1,X0) ) ) ),
inference(nnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: $int] :
( ( ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(1,X1)
| ~ divides1(X1,X0)
| ~ $less(X1,X0) ) )
<=> prime1(X0) ),
inference(flattening,[],[f275]) ).
tff(f275,plain,
! [X0: $int] :
( prime1(X0)
<=> ( ! [X1: $int] :
( ~ divides1(X1,X0)
| ~ $less(1,X1)
| ~ $less(X1,X0) )
& ~ $less(X0,2) ) ),
inference(ennf_transformation,[],[f179]) ).
tff(f179,plain,
! [X0: $int] :
( prime1(X0)
<=> ( ! [X1: $int] :
( ( $less(1,X1)
& $less(X1,X0) )
=> ~ divides1(X1,X0) )
& ~ $less(X0,2) ) ),
inference(rectify,[],[f123]) ).
tff(f123,plain,
! [X20: $int] :
( ( ! [X14: $int] :
( ( $less(X14,X20)
& $less(1,X14) )
=> ~ divides1(X14,X20) )
& ~ $less(X20,2) )
<=> prime1(X20) ),
inference(theory_normalization,[],[f99]) ).
tff(f99,axiom,
! [X20: $int] :
( ( ! [X14: $int] :
( ( $less(X14,X20)
& $less(1,X14) )
=> ~ divides1(X14,X20) )
& $lesseq(2,X20) )
<=> prime1(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_def) ).
tff(f39247,plain,
( spl16_433
| spl16_434
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39215,f38374,f39245,f39242]) ).
tff(f39215,plain,
( ! [X8: $int,X7: $int] :
( divides1($uminus(sK11),X7)
| ~ coprime1($uminus(sK11),X8) )
| ~ spl16_425 ),
inference(resolution,[],[f39110,f1208]) ).
tff(f1208,plain,
! [X24: $int,X22: $int,X23: $int] :
( ~ divides1(X22,$product(X24,X23))
| divides1($uminus(X22),X23)
| ~ coprime1($uminus(X22),X24) ),
inference(resolution,[],[f546,f454]) ).
tff(f39240,plain,
( spl16_431
| spl16_432
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39226,f38374,f39238,f39235]) ).
tff(f39238,plain,
( spl16_432
<=> ( sK11 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_432])]) ).
tff(f39226,plain,
( ( sK11 = -1 )
| ( 1 = sK11 )
| ~ spl16_425 ),
inference(resolution,[],[f39110,f609]) ).
tff(f39114,plain,
( spl16_430
| ~ spl16_68
| ~ spl16_425 ),
inference(avatar_split_clause,[],[f39105,f38374,f2687,f39112]) ).
tff(f39105,plain,
( divides1($product(1,sK11),-1)
| ~ spl16_68
| ~ spl16_425 ),
inference(superposition,[],[f24754,f38375]) ).
tff(f24754,plain,
( ! [X2: $int] : divides1($product(1,X2),$uminus(X2))
| ~ spl16_68 ),
inference(resolution,[],[f21299,f693]) ).
tff(f21299,plain,
( ! [X26: $int] : divides1($uminus($product(1,X26)),X26)
| ~ spl16_68 ),
inference(evaluation,[],[f21278]) ).
tff(f21278,plain,
( ! [X26: $int] : divides1($uminus($product(1,$uminus($uminus(X26)))),X26)
| ~ spl16_68 ),
inference(resolution,[],[f5620,f717]) ).
tff(f5620,plain,
( ! [X15: $int] : divides1($product(1,$uminus(X15)),X15)
| ~ spl16_68 ),
inference(resolution,[],[f5167,f567]) ).
tff(f5167,plain,
( ! [X0: $int] : divides1($product(1,X0),X0)
| ~ spl16_68 ),
inference(resolution,[],[f1205,f2688]) ).
tff(f38810,plain,
( spl16_418
| spl16_429
| spl16_413 ),
inference(avatar_split_clause,[],[f38786,f36863,f38808,f37952]) ).
tff(f38808,plain,
( spl16_429
<=> ! [X0: $int] :
( ~ divides1(sK11,X0)
| ~ even1(gcd1(X0,sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_429])]) ).
tff(f36863,plain,
( spl16_413
<=> even1(gcd1(sK11,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_413])]) ).
tff(f38786,plain,
( ! [X0: $int] :
( ~ divides1(sK11,X0)
| ~ even1(gcd1(X0,sK11))
| ( 0 = sK11 ) )
| spl16_413 ),
inference(superposition,[],[f36864,f1528]) ).
tff(f36864,plain,
( ~ even1(gcd1(sK11,0))
| spl16_413 ),
inference(avatar_component_clause,[],[f36863]) ).
tff(f38806,plain,
( ~ spl16_428
| spl16_413 ),
inference(avatar_split_clause,[],[f38791,f36863,f38803]) ).
tff(f38803,plain,
( spl16_428
<=> even1(gcd1(0,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_428])]) ).
tff(f38791,plain,
( ~ even1(gcd1(0,sK11))
| spl16_413 ),
inference(superposition,[],[f36864,f520]) ).
tff(f38805,plain,
( ~ spl16_428
| spl16_413 ),
inference(avatar_split_clause,[],[f38790,f36863,f38803]) ).
tff(f38790,plain,
( ~ even1(gcd1(0,sK11))
| spl16_413 ),
inference(superposition,[],[f36864,f520]) ).
tff(f38383,plain,
( spl16_427
| ~ spl16_412 ),
inference(avatar_split_clause,[],[f38371,f36853,f38381]) ).
tff(f38381,plain,
( spl16_427
<=> lt_nat1($uminus(sK11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_427])]) ).
tff(f38371,plain,
( lt_nat1($uminus(sK11),0)
| ~ spl16_412 ),
inference(evaluation,[],[f38366]) ).
tff(f38366,plain,
( lt_nat1($uminus(sK11),0)
| $less(0,0)
| ~ spl16_412 ),
inference(resolution,[],[f36854,f577]) ).
tff(f38379,plain,
( spl16_425
| ~ spl16_426
| ~ spl16_412 ),
inference(avatar_split_clause,[],[f38372,f36853,f38377,f38374]) ).
tff(f38377,plain,
( spl16_426
<=> divides1(sK11,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_426])]) ).
tff(f38372,plain,
( ~ divides1(sK11,1)
| ( -1 = $uminus(sK11) )
| ~ spl16_412 ),
inference(evaluation,[],[f38367]) ).
tff(f38367,plain,
( ~ divides1(sK11,1)
| $less(1,0)
| ( -1 = $uminus(sK11) )
| ~ spl16_412 ),
inference(superposition,[],[f36854,f910]) ).
tff(f38347,plain,
~ spl16_423,
inference(avatar_contradiction_clause,[],[f38346]) ).
tff(f38346,plain,
( $false
| ~ spl16_423 ),
inference(subsumption_resolution,[],[f38338,f38084]) ).
tff(f38084,plain,
( ! [X12: $int] : $less(0,X12)
| ~ spl16_423 ),
inference(avatar_component_clause,[],[f38083]) ).
tff(f38083,plain,
( spl16_423
<=> ! [X12: $int] : $less(0,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_423])]) ).
tff(f38338,plain,
( ! [X21: $int] : ~ $less(0,X21)
| ~ spl16_423 ),
inference(evaluation,[],[f38330]) ).
tff(f38330,plain,
( ! [X21: $int] :
( ~ $less(0,X21)
| $less(0,0) )
| ~ spl16_423 ),
inference(resolution,[],[f38084,f542]) ).
tff(f542,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,div2(X1,X0))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f293]) ).
tff(f293,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X1,div2(X1,X0))
& ~ $less(div2(X1,X0),0) )
| $less(X1,0)
| ~ $less(0,X0) ),
inference(flattening,[],[f292]) ).
tff(f292,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,div2(X1,X0))
& ~ $less(div2(X1,X0),0) )
| ~ $less(0,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f223]) ).
tff(f223,plain,
! [X1: $int,X0: $int] :
( ( $less(0,X0)
& ~ $less(X1,0) )
=> ( ~ $less(X1,div2(X1,X0))
& ~ $less(div2(X1,X0),0) ) ),
inference(rectify,[],[f136]) ).
tff(f136,plain,
! [X7: $int,X1: $int] :
( ( $less(0,X7)
& ~ $less(X1,0) )
=> ( ~ $less(div2(X1,X7),0)
& ~ $less(X1,div2(X1,X7)) ) ),
inference(theory_normalization,[],[f13]) ).
tff(f13,axiom,
! [X7: $int,X1: $int] :
( ( $less(0,X7)
& $lesseq(0,X1) )
=> ( $lesseq(0,div2(X1,X7))
& $lesseq(div2(X1,X7),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_bound) ).
tff(f38342,plain,
~ spl16_423,
inference(avatar_contradiction_clause,[],[f38341]) ).
tff(f38341,plain,
( $false
| ~ spl16_423 ),
inference(evaluation,[],[f38313]) ).
tff(f38313,plain,
( $less(0,0)
| ~ spl16_423 ),
inference(resolution,[],[f38084,f1198]) ).
tff(f1198,plain,
! [X0: $int] :
( ~ $less(X0,X0)
| $less(X0,0) ),
inference(evaluation,[],[f1195]) ).
tff(f1195,plain,
! [X0: $int] :
( ~ $less(X0,X0)
| $less(X0,0)
| ~ $less(0,1) ),
inference(superposition,[],[f542,f496]) ).
tff(f496,plain,
! [X0: $int] : ( div2(X0,1) = X0 ),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: $int] : ( div2(X0,1) = X0 ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X1: $int] : ( div2(X1,1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_1) ).
tff(f38090,plain,
( spl16_421
| spl16_292 ),
inference(avatar_split_clause,[],[f38059,f18194,f38073]) ).
tff(f38073,plain,
( spl16_421
<=> ! [X11: $int] :
( $less(X11,mod2(1,2))
| ( abs1(2) = X11 )
| ~ divides1(abs1(2),X11)
| ~ divides1(X11,abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_421])]) ).
tff(f38059,plain,
! [X8: $int,X9: $int] :
( ~ odd1(X8)
| ( abs1(2) = X9 )
| $less(X9,mod2(1,2))
| ~ divides1(X9,abs1(2))
| $less(sK13(X8),0)
| ~ divides1(abs1(2),X9) ),
inference(evaluation,[],[f38052]) ).
tff(f38052,plain,
! [X8: $int,X9: $int] :
( ( abs1(2) = X9 )
| ( 0 = 2 )
| ~ divides1(X9,abs1(2))
| $less(sK13(X8),0)
| ~ divides1(abs1(2),X9)
| $less(X9,mod2(1,2))
| ~ odd1(X8) ),
inference(superposition,[],[f1715,f2282]) ).
tff(f1715,plain,
! [X91: $int,X92: $int,X93: $int] :
( $less(X92,mod2(X93,X91))
| ~ divides1(X92,abs1(X91))
| ( 0 = X91 )
| ~ divides1(abs1(X91),X92)
| ( abs1(X91) = X92 ) ),
inference(superposition,[],[f569,f510]) ).
tff(f38088,plain,
( spl16_423
| spl16_424 ),
inference(avatar_split_clause,[],[f38081,f38086,f38083]) ).
tff(f38086,plain,
( spl16_424
<=> ! [X11: $int] :
( ~ divides1(0,abs1(X11))
| ( 0 = X11 )
| ( 0 = abs1(X11) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_424])]) ).
tff(f38081,plain,
! [X11: $int,X12: $int] :
( ~ divides1(0,abs1(X11))
| $less(0,X12)
| ( 0 = abs1(X11) )
| ( 0 = X11 ) ),
inference(subsumption_resolution,[],[f38063,f564]) ).
tff(f38063,plain,
! [X11: $int,X12: $int] :
( ~ divides1(abs1(X11),0)
| $less(0,X12)
| ~ divides1(0,abs1(X11))
| ( 0 = abs1(X11) )
| ( 0 = X11 ) ),
inference(duplicate_literal_removal,[],[f38037]) ).
tff(f38037,plain,
! [X11: $int,X12: $int] :
( ~ divides1(abs1(X11),0)
| ( 0 = X11 )
| ( 0 = abs1(X11) )
| $less(0,X12)
| ( 0 = X11 )
| ~ divides1(0,abs1(X11)) ),
inference(resolution,[],[f1715,f455]) ).
tff(f38079,plain,
( spl16_422
| spl16_420 ),
inference(avatar_split_clause,[],[f38064,f38069,f38077]) ).
tff(f38069,plain,
( spl16_420
<=> ! [X20: $int,X21: $int] :
( $less(X21,mod2(X20,2))
| ~ divides1(X21,abs1(2))
| ( abs1(2) = X21 )
| ~ divides1(abs1(2),X21)
| $less(X20,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_420])]) ).
tff(f38064,plain,
! [X18: $int,X16: $int,X17: $int] :
( ( abs1(2) = X18 )
| $less(X17,0)
| $less(sK14(X16),0)
| ~ even1(X16)
| ~ divides1(X18,abs1(2))
| ~ divides1(abs1(2),X18)
| $less(X18,mod2(X17,2)) ),
inference(evaluation,[],[f38055]) ).
tff(f38055,plain,
! [X18: $int,X16: $int,X17: $int] :
( ~ divides1(X18,abs1(2))
| ~ divides1(abs1(2),X18)
| ( abs1(2) = X18 )
| $less(X17,0)
| ~ even1(X16)
| ( 0 = 2 )
| $less(sK14(X16),0)
| $less(X18,mod2(X17,2)) ),
inference(superposition,[],[f1715,f2280]) ).
tff(f38075,plain,
( spl16_193
| spl16_421 ),
inference(avatar_split_clause,[],[f38066,f38073,f11194]) ).
tff(f38066,plain,
! [X10: $int,X11: $int] :
( $less(X11,mod2(1,2))
| ~ divides1(X11,abs1(2))
| ~ divides1(abs1(2),X11)
| ( abs1(2) = X11 )
| $less(X10,0)
| even1(X10) ),
inference(evaluation,[],[f38053]) ).
tff(f38053,plain,
! [X10: $int,X11: $int] :
( $less(X10,0)
| $less(X11,mod2(1,2))
| ( abs1(2) = X11 )
| even1(X10)
| ~ divides1(X11,abs1(2))
| ( 0 = 2 )
| ~ divides1(abs1(2),X11) ),
inference(superposition,[],[f1715,f2284]) ).
tff(f38071,plain,
( spl16_420
| spl16_360 ),
inference(avatar_split_clause,[],[f38067,f31170,f38069]) ).
tff(f38067,plain,
! [X21: $int,X19: $int,X20: $int] :
( $less(X19,0)
| $less(X21,mod2(X20,2))
| $less(X20,0)
| ~ divides1(abs1(2),X21)
| ( abs1(2) = X21 )
| ~ even1(X19)
| ~ divides1(X21,abs1(2)) ),
inference(evaluation,[],[f38056]) ).
tff(f38056,plain,
! [X21: $int,X19: $int,X20: $int] :
( ~ divides1(abs1(2),X21)
| ~ divides1(X21,abs1(2))
| $less(X20,0)
| ( abs1(2) = X21 )
| $less(X19,0)
| ( 0 = 2 )
| ~ even1(X19)
| $less(X21,mod2(X20,2)) ),
inference(superposition,[],[f1715,f2285]) ).
tff(f37962,plain,
( ~ spl16_413
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37925,f36841,f36863]) ).
tff(f36841,plain,
( spl16_409
<=> odd1(gcd1(sK11,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_409])]) ).
tff(f37925,plain,
( ~ even1(gcd1(sK11,0))
| ~ spl16_409 ),
inference(resolution,[],[f36842,f459]) ).
tff(f459,plain,
! [X0: $int] :
( ~ odd1(X0)
| ~ even1(X0) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,plain,
! [X0: $int] :
( ~ even1(X0)
| ~ odd1(X0) ),
inference(ennf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: $int] :
( odd1(X0)
=> ~ even1(X0) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X14: $int] :
( odd1(X14)
=> ~ even1(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_not_even) ).
tff(f36842,plain,
( odd1(gcd1(sK11,0))
| ~ spl16_409 ),
inference(avatar_component_clause,[],[f36841]) ).
tff(f37961,plain,
( spl16_416
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37931,f36841,f37943]) ).
tff(f37943,plain,
( spl16_416
<=> odd1(gcd1(0,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_416])]) ).
tff(f37931,plain,
( odd1(gcd1(0,sK11))
| ~ spl16_409 ),
inference(superposition,[],[f36842,f520]) ).
tff(f37960,plain,
( ~ spl16_417
| spl16_12
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37959,f36841,f667,f37948]) ).
tff(f37948,plain,
( spl16_417
<=> divides1(0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_417])]) ).
tff(f667,plain,
( spl16_12
<=> odd1(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
tff(f37959,plain,
( ~ divides1(0,sK11)
| spl16_12
| ~ spl16_409 ),
inference(subsumption_resolution,[],[f37958,f564]) ).
tff(f37958,plain,
( ~ divides1(0,0)
| ~ divides1(0,sK11)
| spl16_12
| ~ spl16_409 ),
inference(subsumption_resolution,[],[f37938,f668]) ).
tff(f668,plain,
( ~ odd1(0)
| spl16_12 ),
inference(avatar_component_clause,[],[f667]) ).
tff(f37938,plain,
( odd1(0)
| ~ divides1(0,0)
| ~ divides1(0,sK11)
| ~ spl16_409 ),
inference(superposition,[],[f36842,f2212]) ).
tff(f37957,plain,
( spl16_418
| spl16_419
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37926,f36841,f37955,f37952]) ).
tff(f37955,plain,
( spl16_419
<=> ! [X0: $int] :
( odd1(gcd1(X0,sK11))
| ~ divides1(sK11,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_419])]) ).
tff(f37926,plain,
( ! [X0: $int] :
( odd1(gcd1(X0,sK11))
| ( 0 = sK11 )
| ~ divides1(sK11,X0) )
| ~ spl16_409 ),
inference(superposition,[],[f36842,f1528]) ).
tff(f37950,plain,
( ~ spl16_417
| spl16_12
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37946,f36841,f667,f37948]) ).
tff(f37946,plain,
( ~ divides1(0,sK11)
| spl16_12
| ~ spl16_409 ),
inference(subsumption_resolution,[],[f37941,f668]) ).
tff(f37941,plain,
( ~ divides1(0,sK11)
| odd1(0)
| ~ spl16_409 ),
inference(evaluation,[],[f37939]) ).
tff(f37939,plain,
( ~ divides1(0,sK11)
| odd1(0)
| $less(0,0)
| ~ spl16_409 ),
inference(superposition,[],[f36842,f2214]) ).
tff(f37945,plain,
( spl16_416
| ~ spl16_409 ),
inference(avatar_split_clause,[],[f37930,f36841,f37943]) ).
tff(f37930,plain,
( odd1(gcd1(0,sK11))
| ~ spl16_409 ),
inference(superposition,[],[f36842,f520]) ).
tff(f37921,plain,
( spl16_415
| spl16_145 ),
inference(avatar_split_clause,[],[f37520,f7567,f37919]) ).
tff(f37919,plain,
( spl16_415
<=> ! [X178: $int,X179: $int] : ( gcd1(1,gcd1(0,mod2(X179,gcd1(X178,1)))) = gcd1(X179,gcd1(X178,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_415])]) ).
tff(f7567,plain,
( spl16_145
<=> ( 0 = gcd1(1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_145])]) ).
tff(f37520,plain,
! [X178: $int,X179: $int] :
( ( 0 = gcd1(1,0) )
| ( gcd1(1,gcd1(0,mod2(X179,gcd1(X178,1)))) = gcd1(X179,gcd1(X178,1)) ) ),
inference(superposition,[],[f1578,f1597]) ).
tff(f1578,plain,
! [X28: $int,X29: $int,X30: $int] :
( ( gcd1(X28,gcd1(X29,mod2(X30,gcd1(X28,X29)))) = gcd1(X30,gcd1(X28,X29)) )
| ( 0 = gcd1(X28,X29) ) ),
inference(superposition,[],[f547,f545]) ).
tff(f37370,plain,
( spl16_145
| spl16_414 ),
inference(avatar_split_clause,[],[f36996,f37368,f7567]) ).
tff(f37368,plain,
( spl16_414
<=> ! [X178: $int,X179: $int] : ( gcd1(1,gcd1(0,$remainder_e(X179,gcd1(X178,1)))) = gcd1(X179,gcd1(X178,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_414])]) ).
tff(f36996,plain,
! [X178: $int,X179: $int] :
( ( gcd1(1,gcd1(0,$remainder_e(X179,gcd1(X178,1)))) = gcd1(X179,gcd1(X178,1)) )
| ( 0 = gcd1(1,0) ) ),
inference(superposition,[],[f1500,f1597]) ).
tff(f1500,plain,
! [X14: $int,X12: $int,X13: $int] :
( ( gcd1(X12,gcd1(X13,$remainder_e(X14,gcd1(X12,X13)))) = gcd1(X14,gcd1(X12,X13)) )
| ( 0 = gcd1(X12,X13) ) ),
inference(superposition,[],[f509,f547]) ).
tff(f36865,plain,
( ~ spl16_413
| spl16_412
| spl16_411 ),
inference(avatar_split_clause,[],[f36859,f36849,f36853,f36863]) ).
tff(f36849,plain,
( spl16_411
<=> even1($uminus(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_411])]) ).
tff(f36859,plain,
( $less($uminus(sK11),0)
| ~ even1(gcd1(sK11,0))
| spl16_411 ),
inference(superposition,[],[f36850,f786]) ).
tff(f36850,plain,
( ~ even1($uminus(sK11))
| spl16_411 ),
inference(avatar_component_clause,[],[f36849]) ).
tff(f36855,plain,
( spl16_412
| spl16_409
| ~ spl16_406 ),
inference(avatar_split_clause,[],[f36834,f36781,f36841,f36853]) ).
tff(f36781,plain,
( spl16_406
<=> odd1($uminus(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_406])]) ).
tff(f36834,plain,
( odd1(gcd1(sK11,0))
| $less($uminus(sK11),0)
| ~ spl16_406 ),
inference(superposition,[],[f36782,f786]) ).
tff(f36782,plain,
( odd1($uminus(sK11))
| ~ spl16_406 ),
inference(avatar_component_clause,[],[f36781]) ).
tff(f36851,plain,
( ~ spl16_411
| ~ spl16_406 ),
inference(avatar_split_clause,[],[f36832,f36781,f36849]) ).
tff(f36832,plain,
( ~ even1($uminus(sK11))
| ~ spl16_406 ),
inference(resolution,[],[f36782,f459]) ).
tff(f36847,plain,
( ~ spl16_408
| spl16_410
| ~ spl16_406 ),
inference(avatar_split_clause,[],[f36836,f36781,f36845,f36838]) ).
tff(f36838,plain,
( spl16_408
<=> $less(sK11,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_408])]) ).
tff(f36845,plain,
( spl16_410
<=> odd1(abs1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_410])]) ).
tff(f36836,plain,
( odd1(abs1(sK11))
| ~ $less(sK11,0)
| ~ spl16_406 ),
inference(superposition,[],[f36782,f584]) ).
tff(f36843,plain,
( ~ spl16_408
| spl16_409
| ~ spl16_406 ),
inference(avatar_split_clause,[],[f36835,f36781,f36841,f36838]) ).
tff(f36835,plain,
( odd1(gcd1(sK11,0))
| ~ $less(sK11,0)
| ~ spl16_406 ),
inference(superposition,[],[f36782,f562]) ).
tff(f36790,plain,
( spl16_407
| spl16_400 ),
inference(avatar_split_clause,[],[f36775,f36327,f36787]) ).
tff(f36327,plain,
( spl16_400
<=> divides1(2,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_400])]) ).
tff(f36775,plain,
( odd1(sK11)
| spl16_400 ),
inference(resolution,[],[f36328,f534]) ).
tff(f36328,plain,
( ~ divides1(2,sK11)
| spl16_400 ),
inference(avatar_component_clause,[],[f36327]) ).
tff(f36789,plain,
( spl16_407
| ~ spl16_4
| ~ spl16_9
| spl16_400 ),
inference(avatar_split_clause,[],[f36785,f36327,f650,f623,f36787]) ).
tff(f623,plain,
( spl16_4
<=> prime1(2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
tff(f650,plain,
( spl16_9
<=> even1(2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
tff(f36785,plain,
( odd1(sK11)
| ~ spl16_4
| ~ spl16_9
| spl16_400 ),
inference(subsumption_resolution,[],[f36784,f651]) ).
tff(f651,plain,
( even1(2)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f650]) ).
tff(f36784,plain,
( ~ even1(2)
| odd1(sK11)
| ~ spl16_4
| spl16_400 ),
inference(subsumption_resolution,[],[f36777,f624]) ).
tff(f624,plain,
( prime1(2)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f623]) ).
tff(f36777,plain,
( ~ prime1(2)
| ~ even1(2)
| odd1(sK11)
| spl16_400 ),
inference(resolution,[],[f36328,f729]) ).
tff(f729,plain,
! [X0: $int,X1: $int] :
( divides1(X0,X1)
| ~ even1(X0)
| odd1(X1)
| ~ prime1(X0) ),
inference(superposition,[],[f534,f583]) ).
tff(f36783,plain,
( spl16_406
| spl16_400 ),
inference(avatar_split_clause,[],[f36774,f36327,f36781]) ).
tff(f36774,plain,
( odd1($uminus(sK11))
| spl16_400 ),
inference(resolution,[],[f36328,f719]) ).
tff(f719,plain,
! [X7: $int] :
( divides1(2,X7)
| odd1($uminus(X7)) ),
inference(resolution,[],[f567,f534]) ).
tff(f36347,plain,
( ~ spl16_405
| spl16_87
| spl16_397 ),
inference(avatar_split_clause,[],[f36320,f36311,f4494,f36345]) ).
tff(f36320,plain,
( $less($uminus(sK12),0)
| ~ even1($sum(sK11,gcd1(sK12,0)))
| spl16_397 ),
inference(superposition,[],[f36312,f786]) ).
tff(f36343,plain,
( ~ spl16_402
| ~ spl16_403
| ~ spl16_404
| spl16_397 ),
inference(avatar_split_clause,[],[f36319,f36311,f36341,f36338,f36335]) ).
tff(f36335,plain,
( spl16_402
<=> even1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_402])]) ).
tff(f36338,plain,
( spl16_403
<=> even1($uminus(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_403])]) ).
tff(f36341,plain,
( spl16_404
<=> prime1($uminus(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_404])]) ).
tff(f36319,plain,
( ~ prime1($uminus(sK12))
| ~ even1($uminus(sK12))
| ~ even1(sK11)
| spl16_397 ),
inference(resolution,[],[f36312,f730]) ).
tff(f730,plain,
! [X0: $int,X1: $int] :
( even1($sum(X1,X0))
| ~ prime1(X0)
| ~ even1(X1)
| ~ even1(X0) ),
inference(superposition,[],[f538,f583]) ).
tff(f538,plain,
! [X0: $int] :
( even1($sum(X0,2))
| ~ even1(X0) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
! [X0: $int] :
( ~ even1(X0)
| even1($sum(X0,2)) ),
inference(ennf_transformation,[],[f246]) ).
tff(f246,plain,
! [X0: $int] :
( even1(X0)
=> even1($sum(X0,2)) ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X14: $int] :
( even1(X14)
=> even1($sum(X14,2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_even) ).
tff(f36333,plain,
( ~ spl16_400
| ~ spl16_401
| spl16_397 ),
inference(avatar_split_clause,[],[f36317,f36311,f36331,f36327]) ).
tff(f36331,plain,
( spl16_401
<=> divides1(2,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_401])]) ).
tff(f36317,plain,
( ~ divides1(2,sK12)
| ~ divides1(2,sK11)
| spl16_397 ),
inference(resolution,[],[f36312,f1607]) ).
tff(f1607,plain,
! [X19: $int,X20: $int] :
( even1($sum(X20,$uminus(X19)))
| ~ divides1(2,X20)
| ~ divides1(2,X19) ),
inference(resolution,[],[f586,f518]) ).
tff(f36329,plain,
( ~ spl16_399
| ~ spl16_400
| spl16_397 ),
inference(avatar_split_clause,[],[f36318,f36311,f36327,f36324]) ).
tff(f36324,plain,
( spl16_399
<=> divides1(2,$uminus(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_399])]) ).
tff(f36318,plain,
( ~ divides1(2,sK11)
| ~ divides1(2,$uminus(sK12))
| spl16_397 ),
inference(resolution,[],[f36312,f1041]) ).
tff(f1041,plain,
! [X6: $int,X7: $int] :
( even1($sum(X7,X6))
| ~ divides1(2,X6)
| ~ divides1(2,X7) ),
inference(resolution,[],[f475,f518]) ).
tff(f36316,plain,
( spl16_148
| ~ spl16_397
| spl16_150
| ~ spl16_398
| spl16_6 ),
inference(avatar_split_clause,[],[f36309,f630,f36314,f7951,f36311,f7755]) ).
tff(f36314,plain,
( spl16_398
<=> ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,$uminus(sK12)),2)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_398])]) ).
tff(f36309,plain,
( ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,$uminus(sK12)),2)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| $less($sum(sK11,$uminus(sK12)),0)
| ~ even1($sum(sK11,$uminus(sK12)))
| $less($sum($product(2,sK12),1),0)
| spl16_6 ),
inference(subsumption_resolution,[],[f36055,f492]) ).
tff(f36055,plain,
( $less($sum(sK11,$uminus(sK12)),0)
| ~ even1($sum(sK11,$uminus(sK12)))
| ~ odd1($sum($product(2,sK12),1))
| ( gcd1($sum($product(2,sK12),1),div2($sum(sK11,$uminus(sK12)),2)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| $less($sum($product(2,sK12),1),0)
| spl16_6 ),
inference(superposition,[],[f631,f2077]) ).
tff(f33713,plain,
( spl16_362
| spl16_396 ),
inference(avatar_split_clause,[],[f33670,f33711,f31178]) ).
tff(f33711,plain,
( spl16_396
<=> ! [X14: $int] :
( $less(X14,0)
| ( $sum(div2(1,2),$uminus(X14)) = div2($sum(1,$uminus($sum($product(2,X14),1))),2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_396])]) ).
tff(f33670,plain,
! [X14: $int] :
( $less(X14,0)
| $less(div2(1,2),0)
| ( $sum(div2(1,2),$uminus(X14)) = div2($sum(1,$uminus($sum($product(2,X14),1))),2) ) ),
inference(evaluation,[],[f33634]) ).
tff(f33634,plain,
! [X14: $int] :
( $less(1,0)
| $less(X14,0)
| ~ $less(1,2)
| ( $sum(div2(1,2),$uminus(X14)) = div2($sum(1,$uminus($sum($product(2,X14),1))),2) )
| $less(div2(1,2),0)
| ( 0 = 2 ) ),
inference(superposition,[],[f491,f1813]) ).
tff(f33706,plain,
( spl16_362
| spl16_395 ),
inference(avatar_split_clause,[],[f33681,f33704,f31178]) ).
tff(f33704,plain,
( spl16_395
<=> ! [X13: $int] :
( ( $sum(X13,$uminus(div2(1,2))) = div2($product(2,X13),2) )
| $less(X13,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_395])]) ).
tff(f33681,plain,
! [X13: $int] :
( ( $sum(X13,$uminus(div2(1,2))) = div2($product(2,X13),2) )
| $less(X13,0)
| $less(div2(1,2),0) ),
inference(evaluation,[],[f33633]) ).
tff(f33633,plain,
! [X13: $int] :
( $less(div2(1,2),0)
| ( 0 = 2 )
| ~ $less(1,2)
| $less(X13,0)
| $less(1,0)
| ( $sum(X13,$uminus(div2(1,2))) = div2($sum($sum($product(2,X13),1),$uminus(1)),2) ) ),
inference(superposition,[],[f491,f1813]) ).
tff(f33470,plain,
( spl16_393
| spl16_394
| ~ spl16_391 ),
inference(avatar_split_clause,[],[f33455,f33406,f33468,f33465]) ).
tff(f33465,plain,
( spl16_393
<=> ( 0 = sK1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_393])]) ).
tff(f33406,plain,
( spl16_391
<=> $less(sK1(1),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_391])]) ).
tff(f33455,plain,
( $less(sK1(1),0)
| ( 0 = sK1(1) )
| ~ spl16_391 ),
inference(resolution,[],[f33407,f1024]) ).
tff(f1024,plain,
! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,0)
| ( 0 = X0 ) ),
inference(superposition,[],[f471,f496]) ).
tff(f33407,plain,
( $less(sK1(1),1)
| ~ spl16_391 ),
inference(avatar_component_clause,[],[f33406]) ).
tff(f33463,plain,
( spl16_392
| ~ spl16_391 ),
inference(avatar_split_clause,[],[f33459,f33406,f33461]) ).
tff(f33461,plain,
( spl16_392
<=> lt_nat1(sK1(1),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_392])]) ).
tff(f33459,plain,
( lt_nat1(sK1(1),1)
| ~ spl16_391 ),
inference(evaluation,[],[f33458]) ).
tff(f33458,plain,
( lt_nat1(sK1(1),1)
| $less(1,0)
| ~ spl16_391 ),
inference(resolution,[],[f33407,f577]) ).
tff(f33409,plain,
( spl16_391
| ~ spl16_124
| ~ spl16_371 ),
inference(avatar_split_clause,[],[f33390,f31795,f6668,f33406]) ).
tff(f33390,plain,
( $less(sK1(1),1)
| ~ spl16_124
| ~ spl16_371 ),
inference(superposition,[],[f31796,f6669]) ).
tff(f31796,plain,
( $less(sK1(abs1(1)),1)
| ~ spl16_371 ),
inference(avatar_component_clause,[],[f31795]) ).
tff(f33408,plain,
( spl16_391
| ~ spl16_371 ),
inference(avatar_split_clause,[],[f33392,f31795,f33406]) ).
tff(f33392,plain,
( $less(sK1(1),1)
| ~ spl16_371 ),
inference(evaluation,[],[f33391]) ).
tff(f33391,plain,
( $less(1,0)
| $less(sK1(1),1)
| ~ spl16_371 ),
inference(superposition,[],[f31796,f585]) ).
tff(f33404,plain,
( spl16_389
| spl16_390
| ~ spl16_371 ),
inference(avatar_split_clause,[],[f33386,f31795,f33402,f33399]) ).
tff(f33399,plain,
( spl16_389
<=> ( 0 = sK1(abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_389])]) ).
tff(f33386,plain,
( $less(sK1(abs1(1)),0)
| ( 0 = sK1(abs1(1)) )
| ~ spl16_371 ),
inference(resolution,[],[f31796,f1024]) ).
tff(f33397,plain,
( spl16_388
| ~ spl16_371 ),
inference(avatar_split_clause,[],[f33393,f31795,f33395]) ).
tff(f33393,plain,
( lt_nat1(sK1(abs1(1)),1)
| ~ spl16_371 ),
inference(evaluation,[],[f33389]) ).
tff(f33389,plain,
( $less(1,0)
| lt_nat1(sK1(abs1(1)),1)
| ~ spl16_371 ),
inference(resolution,[],[f31796,f577]) ).
tff(f33363,plain,
( spl16_387
| ~ spl16_385 ),
inference(avatar_split_clause,[],[f33353,f31890,f33361]) ).
tff(f33361,plain,
( spl16_387
<=> coprime1(2,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_387])]) ).
tff(f31890,plain,
( spl16_385
<=> coprime1(abs1(1),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_385])]) ).
tff(f33353,plain,
( coprime1(2,abs1(1))
| ~ spl16_385 ),
inference(resolution,[],[f31891,f2911]) ).
tff(f31891,plain,
( coprime1(abs1(1),2)
| ~ spl16_385 ),
inference(avatar_component_clause,[],[f31890]) ).
tff(f32019,plain,
( spl16_32
| spl16_386 ),
inference(avatar_split_clause,[],[f32015,f32017,f1311]) ).
tff(f1311,plain,
( spl16_32
<=> ! [X1: $int] :
( ~ $less(1,X1)
| ~ $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
tff(f32017,plain,
( spl16_386
<=> ! [X61: $int,X62: $int] :
( ~ divides1(0,X61)
| ~ prime1(gcd1(X61,X62))
| ~ divides1(0,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_386])]) ).
tff(f32015,plain,
! [X62: $int,X63: $int,X61: $int] :
( ~ divides1(0,X61)
| ~ $less(X63,0)
| ~ divides1(0,X62)
| ~ $less(1,X63)
| ~ prime1(gcd1(X61,X62)) ),
inference(subsumption_resolution,[],[f32014,f823]) ).
tff(f32014,plain,
! [X62: $int,X63: $int,X61: $int] :
( ~ $less(1,X63)
| ~ divides1(X63,X61)
| ~ $less(X63,0)
| ~ divides1(0,X61)
| ~ divides1(0,X62)
| ~ prime1(gcd1(X61,X62)) ),
inference(subsumption_resolution,[],[f31939,f823]) ).
tff(f31939,plain,
! [X62: $int,X63: $int,X61: $int] :
( ~ divides1(X63,X62)
| ~ $less(X63,0)
| ~ divides1(0,X61)
| ~ $less(1,X63)
| ~ divides1(X63,X61)
| ~ divides1(0,X62)
| ~ prime1(gcd1(X61,X62)) ),
inference(superposition,[],[f1323,f2212]) ).
tff(f1323,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,gcd1(X1,X2))
| ~ divides1(X0,X1)
| ~ divides1(X0,X2)
| ~ prime1(gcd1(X1,X2))
| ~ $less(1,X0) ),
inference(resolution,[],[f553,f551]) ).
tff(f31892,plain,
( spl16_385
| ~ spl16_4
| ~ spl16_373 ),
inference(avatar_split_clause,[],[f31888,f31801,f623,f31890]) ).
tff(f31801,plain,
( spl16_373
<=> $less(abs1(1),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_373])]) ).
tff(f31888,plain,
( coprime1(abs1(1),2)
| ~ spl16_4
| ~ spl16_373 ),
inference(subsumption_resolution,[],[f31887,f624]) ).
tff(f31887,plain,
( ~ prime1(2)
| coprime1(abs1(1),2)
| ~ spl16_373 ),
inference(subsumption_resolution,[],[f31875,f1751]) ).
tff(f1751,plain,
! [X0: $int] : ~ $less(abs1(X0),X0),
inference(subsumption_resolution,[],[f1743,f568]) ).
tff(f1743,plain,
! [X0: $int] :
( $less(abs1(X0),0)
| ~ $less(abs1(X0),X0) ),
inference(resolution,[],[f1198,f514]) ).
tff(f31875,plain,
( coprime1(abs1(1),2)
| $less(abs1(1),1)
| ~ prime1(2)
| ~ spl16_373 ),
inference(resolution,[],[f31802,f501]) ).
tff(f501,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| coprime1(X1,X0)
| $less(X1,1)
| ~ prime1(X0) ),
inference(cnf_transformation,[],[f393]) ).
tff(f393,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ( ~ $less(sK1(X0),1)
& ~ coprime1(sK1(X0),X0)
& $less(sK1(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f391,f392]) ).
tff(f392,plain,
! [X0: $int] :
( ? [X2: $int] :
( ~ $less(X2,1)
& ~ coprime1(X2,X0)
& $less(X2,X0) )
=> ( ~ $less(sK1(X0),1)
& ~ coprime1(sK1(X0),X0)
& $less(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f391,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X2: $int] :
( ~ $less(X2,1)
& ~ coprime1(X2,X0)
& $less(X2,X0) ) ) ),
inference(rectify,[],[f390]) ).
tff(f390,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ coprime1(X1,X0)
& $less(X1,X0) ) ) ),
inference(flattening,[],[f389]) ).
tff(f389,plain,
! [X0: $int] :
( ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime1(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime1(X0) )
& ( prime1(X0)
| $less(X0,2)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ coprime1(X1,X0)
& $less(X1,X0) ) ) ),
inference(nnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: $int] :
( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime1(X1,X0)
| ~ $less(X1,X0) ) )
<=> prime1(X0) ),
inference(flattening,[],[f267]) ).
tff(f267,plain,
! [X0: $int] :
( prime1(X0)
<=> ( ! [X1: $int] :
( coprime1(X1,X0)
| $less(X1,1)
| ~ $less(X1,X0) )
& ~ $less(X0,2) ) ),
inference(ennf_transformation,[],[f236]) ).
tff(f236,plain,
! [X0: $int] :
( prime1(X0)
<=> ( ! [X1: $int] :
( ( ~ $less(X1,1)
& $less(X1,X0) )
=> coprime1(X1,X0) )
& ~ $less(X0,2) ) ),
inference(rectify,[],[f142]) ).
tff(f142,plain,
! [X20: $int] :
( ( ~ $less(X20,2)
& ! [X14: $int] :
( ( $less(X14,X20)
& ~ $less(X14,1) )
=> coprime1(X14,X20) ) )
<=> prime1(X20) ),
inference(theory_normalization,[],[f107]) ).
tff(f107,axiom,
! [X20: $int] :
( ( $lesseq(2,X20)
& ! [X14: $int] :
( ( $less(X14,X20)
& $lesseq(1,X14) )
=> coprime1(X14,X20) ) )
<=> prime1(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_coprime) ).
tff(f31802,plain,
( $less(abs1(1),2)
| ~ spl16_373 ),
inference(avatar_component_clause,[],[f31801]) ).
tff(f31886,plain,
( spl16_384
| ~ spl16_373 ),
inference(avatar_split_clause,[],[f31882,f31801,f31884]) ).
tff(f31884,plain,
( spl16_384
<=> lt_nat1(abs1(1),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_384])]) ).
tff(f31882,plain,
( lt_nat1(abs1(1),2)
| ~ spl16_373 ),
inference(evaluation,[],[f31876]) ).
tff(f31876,plain,
( lt_nat1(abs1(1),2)
| $less(2,0)
| ~ spl16_373 ),
inference(resolution,[],[f31802,f577]) ).
tff(f31865,plain,
( spl16_373
| spl16_383
| spl16_382
| spl16_43 ),
inference(avatar_split_clause,[],[f31861,f2027,f31858,f31863,f31801]) ).
tff(f31863,plain,
( spl16_383
<=> ! [X9: $int] :
( ~ divides1(sK10(abs1(1)),X9)
| ~ $less($uminus(sK10(abs1(1))),X9)
| ~ prime1(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_383])]) ).
tff(f31858,plain,
( spl16_382
<=> $less(sK10(abs1(1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_382])]) ).
tff(f2027,plain,
( spl16_43
<=> prime1(abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_43])]) ).
tff(f31861,plain,
( ! [X9: $int] :
( $less(sK10(abs1(1)),1)
| ~ divides1(sK10(abs1(1)),X9)
| ~ prime1(X9)
| ~ $less($uminus(sK10(abs1(1))),X9)
| $less(abs1(1),2) )
| spl16_43 ),
inference(subsumption_resolution,[],[f31837,f2028]) ).
tff(f2028,plain,
( ~ prime1(abs1(1))
| spl16_43 ),
inference(avatar_component_clause,[],[f2027]) ).
tff(f31837,plain,
! [X9: $int] :
( $less(sK10(abs1(1)),1)
| ~ prime1(X9)
| $less(abs1(1),2)
| ~ $less($uminus(sK10(abs1(1))),X9)
| prime1(abs1(1))
| ~ divides1(sK10(abs1(1)),X9) ),
inference(resolution,[],[f1151,f1295]) ).
tff(f1295,plain,
! [X28: $int,X29: $int] :
( ~ $less(1,$uminus(X28))
| ~ prime1(X29)
| ~ divides1(X28,X29)
| ~ $less($uminus(X28),X29) ),
inference(resolution,[],[f551,f454]) ).
tff(f1151,plain,
! [X5: $int] :
( $less(X5,$uminus(sK10(abs1(X5))))
| $less(abs1(X5),2)
| $less(sK10(abs1(X5)),X5)
| prime1(abs1(X5)) ),
inference(resolution,[],[f512,f548]) ).
tff(f548,plain,
! [X0: $int] :
( $less(sK10(X0),X0)
| $less(X0,2)
| prime1(X0) ),
inference(cnf_transformation,[],[f421]) ).
tff(f512,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,abs1(X1))
| $less(X1,$uminus(X0))
| $less(X0,X1) ),
inference(cnf_transformation,[],[f399]) ).
tff(f31860,plain,
( ~ spl16_380
| spl16_373
| ~ spl16_381
| spl16_382
| spl16_43 ),
inference(avatar_split_clause,[],[f31850,f2027,f31858,f31855,f31801,f31852]) ).
tff(f31852,plain,
( spl16_380
<=> $less($uminus(sK10(abs1(1))),$uminus(sK10(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_380])]) ).
tff(f31855,plain,
( spl16_381
<=> prime1($uminus(sK10(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_381])]) ).
tff(f31850,plain,
( $less(sK10(abs1(1)),1)
| ~ prime1($uminus(sK10(abs1(1))))
| $less(abs1(1),2)
| ~ $less($uminus(sK10(abs1(1))),$uminus(sK10(abs1(1))))
| spl16_43 ),
inference(subsumption_resolution,[],[f31838,f2028]) ).
tff(f31838,plain,
( ~ $less($uminus(sK10(abs1(1))),$uminus(sK10(abs1(1))))
| $less(abs1(1),2)
| $less(sK10(abs1(1)),1)
| ~ prime1($uminus(sK10(abs1(1))))
| prime1(abs1(1)) ),
inference(resolution,[],[f1151,f1282]) ).
tff(f1282,plain,
! [X0: $int] :
( ~ $less(1,X0)
| ~ prime1(X0)
| ~ $less(X0,X0) ),
inference(resolution,[],[f551,f566]) ).
tff(f31828,plain,
( spl16_373
| ~ spl16_378
| ~ spl16_379
| spl16_371
| spl16_43 ),
inference(avatar_split_clause,[],[f31821,f2027,f31795,f31826,f31823,f31801]) ).
tff(f31823,plain,
( spl16_378
<=> prime1($uminus(sK1(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_378])]) ).
tff(f31826,plain,
( spl16_379
<=> $less($uminus(sK1(abs1(1))),$uminus(sK1(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_379])]) ).
tff(f31821,plain,
( $less(sK1(abs1(1)),1)
| ~ $less($uminus(sK1(abs1(1))),$uminus(sK1(abs1(1))))
| ~ prime1($uminus(sK1(abs1(1))))
| $less(abs1(1),2)
| spl16_43 ),
inference(subsumption_resolution,[],[f31781,f2028]) ).
tff(f31781,plain,
( $less(sK1(abs1(1)),1)
| ~ $less($uminus(sK1(abs1(1))),$uminus(sK1(abs1(1))))
| ~ prime1($uminus(sK1(abs1(1))))
| prime1(abs1(1))
| $less(abs1(1),2) ),
inference(resolution,[],[f1150,f1282]) ).
tff(f1150,plain,
! [X4: $int] :
( $less(X4,$uminus(sK1(abs1(X4))))
| prime1(abs1(X4))
| $less(abs1(X4),2)
| $less(sK1(abs1(X4)),X4) ),
inference(resolution,[],[f512,f498]) ).
tff(f498,plain,
! [X0: $int] :
( $less(sK1(X0),X0)
| $less(X0,2)
| prime1(X0) ),
inference(cnf_transformation,[],[f393]) ).
tff(f31820,plain,
( spl16_376
| spl16_377
| spl16_234
| ~ spl16_374 ),
inference(avatar_split_clause,[],[f31816,f31806,f11940,f31818,f31813]) ).
tff(f31813,plain,
( spl16_376
<=> $less(sK1(abs1(2)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_376])]) ).
tff(f31818,plain,
( spl16_377
<=> odd1($uminus(sK1(abs1(2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_377])]) ).
tff(f31806,plain,
( spl16_374
<=> prime1($uminus(sK1(abs1(2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_374])]) ).
tff(f31816,plain,
( ~ prime1($uminus(sK1(abs1(2))))
| prime1(abs1(2))
| odd1($uminus(sK1(abs1(2))))
| $less(sK1(abs1(2)),2) ),
inference(subsumption_resolution,[],[f31782,f1751]) ).
tff(f31782,plain,
( $less(abs1(2),2)
| odd1($uminus(sK1(abs1(2))))
| $less(sK1(abs1(2)),2)
| prime1(abs1(2))
| ~ prime1($uminus(sK1(abs1(2)))) ),
inference(resolution,[],[f1150,f1308]) ).
tff(f1308,plain,
! [X33: $int] :
( ~ $less(2,X33)
| odd1(X33)
| ~ prime1(X33) ),
inference(evaluation,[],[f1299]) ).
tff(f1299,plain,
! [X33: $int] :
( ~ $less(1,2)
| ~ $less(2,X33)
| odd1(X33)
| ~ prime1(X33) ),
inference(resolution,[],[f551,f534]) ).
tff(f31815,plain,
( ~ spl16_374
| spl16_234
| ~ spl16_375
| spl16_376 ),
inference(avatar_split_clause,[],[f31804,f31813,f31810,f11940,f31806]) ).
tff(f31810,plain,
( spl16_375
<=> even1($uminus(sK1(abs1(2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_375])]) ).
tff(f31804,plain,
( $less(sK1(abs1(2)),2)
| ~ even1($uminus(sK1(abs1(2))))
| prime1(abs1(2))
| ~ prime1($uminus(sK1(abs1(2)))) ),
inference(subsumption_resolution,[],[f31783,f1751]) ).
tff(f31783,plain,
( ~ prime1($uminus(sK1(abs1(2))))
| prime1(abs1(2))
| ~ even1($uminus(sK1(abs1(2))))
| $less(sK1(abs1(2)),2)
| $less(abs1(2),2) ),
inference(resolution,[],[f1150,f1307]) ).
tff(f1307,plain,
! [X34: $int] :
( ~ $less(2,X34)
| ~ prime1(X34)
| ~ even1(X34) ),
inference(evaluation,[],[f1300]) ).
tff(f1300,plain,
! [X34: $int] :
( ~ prime1(X34)
| ~ $less(2,X34)
| ~ $less(1,2)
| ~ even1(X34) ),
inference(resolution,[],[f551,f519]) ).
tff(f31803,plain,
( spl16_371
| spl16_372
| spl16_373
| spl16_43 ),
inference(avatar_split_clause,[],[f31793,f2027,f31801,f31798,f31795]) ).
tff(f31798,plain,
( spl16_372
<=> ! [X9: $int] :
( ~ divides1(sK1(abs1(1)),X9)
| ~ $less($uminus(sK1(abs1(1))),X9)
| ~ prime1(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_372])]) ).
tff(f31793,plain,
( ! [X9: $int] :
( $less(abs1(1),2)
| ~ divides1(sK1(abs1(1)),X9)
| ~ prime1(X9)
| $less(sK1(abs1(1)),1)
| ~ $less($uminus(sK1(abs1(1))),X9) )
| spl16_43 ),
inference(subsumption_resolution,[],[f31780,f2028]) ).
tff(f31780,plain,
! [X9: $int] :
( $less(sK1(abs1(1)),1)
| ~ prime1(X9)
| $less(abs1(1),2)
| ~ $less($uminus(sK1(abs1(1))),X9)
| prime1(abs1(1))
| ~ divides1(sK1(abs1(1)),X9) ),
inference(resolution,[],[f1150,f1295]) ).
tff(f31250,plain,
( spl16_3
| ~ spl16_214
| ~ spl16_360 ),
inference(avatar_contradiction_clause,[],[f31249]) ).
tff(f31249,plain,
( $false
| spl16_3
| ~ spl16_214
| ~ spl16_360 ),
inference(subsumption_resolution,[],[f31235,f11309]) ).
tff(f11309,plain,
( even1(sK12)
| ~ spl16_214 ),
inference(avatar_component_clause,[],[f11308]) ).
tff(f11308,plain,
( spl16_214
<=> even1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_214])]) ).
tff(f31235,plain,
( ~ even1(sK12)
| spl16_3
| ~ spl16_360 ),
inference(resolution,[],[f31171,f620]) ).
tff(f31171,plain,
( ! [X24: $int] :
( $less(X24,0)
| ~ even1(X24) )
| ~ spl16_360 ),
inference(avatar_component_clause,[],[f31170]) ).
tff(f31248,plain,
( ~ spl16_213
| ~ spl16_360 ),
inference(avatar_split_clause,[],[f31221,f31170,f11304]) ).
tff(f11304,plain,
( spl16_213
<=> even1(abs1(abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_213])]) ).
tff(f31221,plain,
( ~ even1(abs1(abs1(0)))
| ~ spl16_360 ),
inference(resolution,[],[f31171,f1820]) ).
tff(f1820,plain,
! [X0: $int] : ~ $less(abs1(abs1(X0)),X0),
inference(resolution,[],[f1751,f514]) ).
tff(f31246,plain,
( ~ spl16_212
| ~ spl16_360 ),
inference(avatar_split_clause,[],[f31222,f31170,f11300]) ).
tff(f11300,plain,
( spl16_212
<=> even1(abs1(abs1(abs1(0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_212])]) ).
tff(f31222,plain,
( ~ even1(abs1(abs1(abs1(0))))
| ~ spl16_360 ),
inference(resolution,[],[f31171,f1918]) ).
tff(f1918,plain,
! [X0: $int] : ~ $less(abs1(abs1(abs1(X0))),X0),
inference(resolution,[],[f1820,f514]) ).
tff(f31244,plain,
( ~ spl16_10
| ~ spl16_360 ),
inference(avatar_contradiction_clause,[],[f31243]) ).
tff(f31243,plain,
( $false
| ~ spl16_10
| ~ spl16_360 ),
inference(subsumption_resolution,[],[f31238,f655]) ).
tff(f31238,plain,
( ~ even1(0)
| ~ spl16_360 ),
inference(evaluation,[],[f31209]) ).
tff(f31209,plain,
( $less(0,0)
| ~ even1(0)
| ~ spl16_360 ),
inference(resolution,[],[f31171,f1198]) ).
tff(f31242,plain,
( ~ spl16_370
| ~ spl16_360 ),
inference(avatar_split_clause,[],[f31218,f31170,f31240]) ).
tff(f31240,plain,
( spl16_370
<=> even1(abs1(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_370])]) ).
tff(f31218,plain,
( ~ even1(abs1(0))
| ~ spl16_360 ),
inference(resolution,[],[f31171,f1751]) ).
tff(f31208,plain,
( spl16_369
| ~ spl16_234 ),
inference(avatar_split_clause,[],[f31134,f11940,f31206]) ).
tff(f31206,plain,
( spl16_369
<=> ! [X36: $int,X37: $int] :
( $less(mod2($sum(X36,X37),2),1)
| $less(X37,0)
| ~ even1(X36)
| coprime1(mod2(X37,2),abs1(2))
| $less(X36,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_369])]) ).
tff(f31134,plain,
! [X36: $int,X37: $int] :
( ~ prime1(abs1(2))
| $less(mod2($sum(X36,X37),2),1)
| $less(X36,0)
| coprime1(mod2(X37,2),abs1(2))
| ~ even1(X36)
| $less(X37,0) ),
inference(evaluation,[],[f31120]) ).
tff(f31120,plain,
! [X36: $int,X37: $int] :
( $less(X37,0)
| ~ even1(X36)
| $less(X36,0)
| ~ prime1(abs1(2))
| ( 0 = 2 )
| $less(mod2($sum(X36,X37),2),1)
| coprime1(mod2(X37,2),abs1(2)) ),
inference(superposition,[],[f1126,f2285]) ).
tff(f1126,plain,
! [X6: $int,X5: $int] :
( coprime1(mod2(X5,X6),abs1(X6))
| $less(mod2(X5,X6),1)
| ~ prime1(abs1(X6))
| ( 0 = X6 ) ),
inference(resolution,[],[f501,f570]) ).
tff(f570,plain,
! [X0: $int,X1: $int] :
( $less(mod2(X1,X0),abs1(X0))
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f429]) ).
tff(f31204,plain,
( spl16_360
| spl16_368 ),
inference(avatar_split_clause,[],[f31135,f31202,f31170]) ).
tff(f31202,plain,
( spl16_368
<=> ! [X23: $int] :
( $less($uminus(abs1(2)),mod2(X23,2))
| $less(X23,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_368])]) ).
tff(f31135,plain,
! [X22: $int,X23: $int] :
( $less($uminus(abs1(2)),mod2(X23,2))
| $less(X23,0)
| ~ even1(X22)
| $less(X22,0) ),
inference(evaluation,[],[f31113]) ).
tff(f31113,plain,
! [X22: $int,X23: $int] :
( ~ even1(X22)
| ( 0 = 2 )
| $less(X23,0)
| $less($uminus(abs1(2)),mod2(X23,2))
| $less(X22,0) ),
inference(superposition,[],[f569,f2285]) ).
tff(f31200,plain,
( spl16_360
| spl16_367 ),
inference(avatar_split_clause,[],[f31136,f31198,f31170]) ).
tff(f31198,plain,
( spl16_367
<=> ! [X35: $int] :
( $less(-2,mod2(X35,2))
| $less(X35,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_367])]) ).
tff(f31136,plain,
! [X34: $int,X35: $int] :
( $less(-2,mod2(X35,2))
| $less(X35,0)
| $less(X34,0)
| ~ even1(X34) ),
inference(evaluation,[],[f31119]) ).
tff(f31119,plain,
! [X34: $int,X35: $int] :
( $less(X35,0)
| $less(2,0)
| ~ even1(X34)
| $less(X34,0)
| $less($uminus(2),mod2(X35,2))
| ( 0 = 2 ) ),
inference(superposition,[],[f989,f2285]) ).
tff(f989,plain,
! [X0: $int,X1: $int] :
( $less($uminus(X0),mod2(X1,X0))
| ( 0 = X0 )
| $less(X0,0) ),
inference(superposition,[],[f569,f585]) ).
tff(f31196,plain,
( spl16_362
| spl16_366 ),
inference(avatar_split_clause,[],[f31140,f31194,f31178]) ).
tff(f31194,plain,
( spl16_366
<=> ! [X14: $int] :
( ( mod2(div2(X14,2),2) = mod2(div2(1,2),2) )
| ~ even1(sK13(X14))
| $less(sK13(X14),0)
| ~ odd1(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_366])]) ).
tff(f31140,plain,
! [X14: $int] :
( ( mod2(div2(X14,2),2) = mod2(div2(1,2),2) )
| ~ odd1(X14)
| $less(sK13(X14),0)
| ~ even1(sK13(X14))
| $less(div2(1,2),0) ),
inference(duplicate_literal_removal,[],[f31098]) ).
tff(f31098,plain,
! [X14: $int] :
( ( mod2(div2(X14,2),2) = mod2(div2(1,2),2) )
| $less(div2(1,2),0)
| $less(sK13(X14),0)
| ~ odd1(X14)
| ~ even1(sK13(X14))
| $less(sK13(X14),0) ),
inference(superposition,[],[f2285,f2387]) ).
tff(f31191,plain,
( spl16_365
| spl16_360 ),
inference(avatar_split_clause,[],[f31154,f31170,f31189]) ).
tff(f31189,plain,
( spl16_365
<=> ! [X31: $int] :
( $less(X31,0)
| lt_nat1(mod2(X31,2),abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_365])]) ).
tff(f31154,plain,
! [X31: $int,X30: $int] :
( $less(X30,0)
| $less(X31,0)
| ~ even1(X30)
| lt_nat1(mod2(X31,2),abs1(2)) ),
inference(evaluation,[],[f31117]) ).
tff(f31117,plain,
! [X31: $int,X30: $int] :
( lt_nat1(mod2(X31,2),abs1(2))
| ~ even1(X30)
| $less(X30,0)
| ( 0 = 2 )
| $less(X31,0) ),
inference(superposition,[],[f897,f2285]) ).
tff(f897,plain,
! [X3: $int,X4: $int] :
( lt_nat1(mod2(X4,X3),abs1(X3))
| ( 0 = X3 ) ),
inference(subsumption_resolution,[],[f892,f568]) ).
tff(f892,plain,
! [X3: $int,X4: $int] :
( $less(abs1(X3),0)
| lt_nat1(mod2(X4,X3),abs1(X3))
| ( 0 = X3 ) ),
inference(resolution,[],[f577,f570]) ).
tff(f31187,plain,
( spl16_360
| spl16_364 ),
inference(avatar_split_clause,[],[f31157,f31185,f31170]) ).
tff(f31185,plain,
( spl16_364
<=> ! [X29: $int] :
( $less(mod2(X29,2),2)
| $less(X29,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_364])]) ).
tff(f31157,plain,
! [X28: $int,X29: $int] :
( $less(mod2(X29,2),2)
| ~ even1(X28)
| $less(X28,0)
| $less(X29,0) ),
inference(evaluation,[],[f31116]) ).
tff(f31116,plain,
! [X28: $int,X29: $int] :
( $less(X28,0)
| $less(X29,0)
| $less(mod2(X29,2),2)
| ( 0 = 2 )
| $less(2,0)
| ~ even1(X28) ),
inference(superposition,[],[f884,f2285]) ).
tff(f884,plain,
! [X0: $int,X1: $int] :
( $less(mod2(X1,X0),X0)
| $less(X0,0)
| ( 0 = X0 ) ),
inference(superposition,[],[f570,f585]) ).
tff(f31183,plain,
( spl16_362
| spl16_363 ),
inference(avatar_split_clause,[],[f31176,f31181,f31178]) ).
tff(f31181,plain,
( spl16_363
<=> ! [X12: $int] :
( $less(X12,0)
| ( mod2(div2(1,2),2) = mod2(div2(X12,2),2) )
| ~ even1(div2(X12,2))
| even1(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_363])]) ).
tff(f31176,plain,
! [X12: $int] :
( $less(X12,0)
| $less(div2(1,2),0)
| even1(X12)
| ~ even1(div2(X12,2))
| ( mod2(div2(1,2),2) = mod2(div2(X12,2),2) ) ),
inference(subsumption_resolution,[],[f31096,f578]) ).
tff(f31096,plain,
! [X12: $int] :
( $less(X12,0)
| even1(X12)
| ~ even1(div2(X12,2))
| $less(div2(1,2),0)
| ( mod2(div2(1,2),2) = mod2(div2(X12,2),2) )
| $less(div2(X12,2),0) ),
inference(superposition,[],[f2285,f2395]) ).
tff(f31175,plain,
( spl16_360
| spl16_361 ),
inference(avatar_split_clause,[],[f31163,f31173,f31170]) ).
tff(f31173,plain,
( spl16_361
<=> ! [X25: $int] :
( $less(mod2(X25,2),abs1(2))
| $less(X25,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_361])]) ).
tff(f31163,plain,
! [X24: $int,X25: $int] :
( $less(mod2(X25,2),abs1(2))
| $less(X24,0)
| ~ even1(X24)
| $less(X25,0) ),
inference(evaluation,[],[f31114]) ).
tff(f31114,plain,
! [X24: $int,X25: $int] :
( ~ even1(X24)
| $less(mod2(X25,2),abs1(2))
| $less(X24,0)
| $less(X25,0)
| ( 0 = 2 ) ),
inference(superposition,[],[f570,f2285]) ).
tff(f30595,plain,
( spl16_359
| ~ spl16_68
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f30577,f6143,f2687,f30593]) ).
tff(f30577,plain,
( divides1($product(1,abs1(-1)),-1)
| ~ spl16_68
| ~ spl16_110 ),
inference(superposition,[],[f24754,f6144]) ).
tff(f30591,plain,
( spl16_358
| ~ spl16_68
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f30576,f6371,f2687,f30589]) ).
tff(f30576,plain,
( divides1($product(1,abs1(1)),-1)
| ~ spl16_68
| ~ spl16_111 ),
inference(superposition,[],[f24754,f6372]) ).
tff(f30587,plain,
( spl16_357
| ~ spl16_68
| ~ spl16_313 ),
inference(avatar_split_clause,[],[f30579,f21394,f2687,f30585]) ).
tff(f30585,plain,
( spl16_357
<=> divides1($product(1,gcd1(1,0)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_357])]) ).
tff(f21394,plain,
( spl16_313
<=> ( -1 = $uminus(gcd1(1,0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_313])]) ).
tff(f30579,plain,
( divides1($product(1,gcd1(1,0)),-1)
| ~ spl16_68
| ~ spl16_313 ),
inference(superposition,[],[f24754,f21395]) ).
tff(f21395,plain,
( ( -1 = $uminus(gcd1(1,0)) )
| ~ spl16_313 ),
inference(avatar_component_clause,[],[f21394]) ).
tff(f30583,plain,
( spl16_356
| ~ spl16_68
| ~ spl16_340 ),
inference(avatar_split_clause,[],[f30578,f24125,f2687,f30581]) ).
tff(f30581,plain,
( spl16_356
<=> divides1($product(1,mod2(1,2)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_356])]) ).
tff(f30578,plain,
( divides1($product(1,mod2(1,2)),-1)
| ~ spl16_68
| ~ spl16_340 ),
inference(superposition,[],[f24754,f24126]) ).
tff(f29297,plain,
( spl16_355
| ~ spl16_234
| spl16_217 ),
inference(avatar_split_clause,[],[f29292,f11411,f11940,f29295]) ).
tff(f29295,plain,
( spl16_355
<=> ! [X10: $int] :
( $less(sK13(X10),0)
| ~ odd1(X10)
| coprime1(mod2(X10,2),abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_355])]) ).
tff(f11411,plain,
( spl16_217
<=> $less(mod2(1,2),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_217])]) ).
tff(f29292,plain,
! [X10: $int] :
( $less(mod2(1,2),1)
| ~ prime1(abs1(2))
| $less(sK13(X10),0)
| coprime1(mod2(X10,2),abs1(2))
| ~ odd1(X10) ),
inference(evaluation,[],[f29284]) ).
tff(f29284,plain,
! [X10: $int] :
( ~ prime1(abs1(2))
| coprime1(mod2(X10,2),abs1(2))
| $less(sK13(X10),0)
| $less(mod2(1,2),1)
| ~ odd1(X10)
| ( 0 = 2 ) ),
inference(superposition,[],[f1126,f2282]) ).
tff(f29275,plain,
spl16_349,
inference(avatar_contradiction_clause,[],[f29274]) ).
tff(f29274,plain,
( $false
| spl16_349 ),
inference(subsumption_resolution,[],[f29257,f564]) ).
tff(f29257,plain,
( ~ divides1(2,0)
| spl16_349 ),
inference(evaluation,[],[f29256]) ).
tff(f29256,plain,
( $less(1,0)
| ~ $less(1,2)
| ~ divides1(2,0)
| spl16_349 ),
inference(superposition,[],[f29206,f471]) ).
tff(f29206,plain,
( ~ divides1(2,div2(1,2))
| spl16_349 ),
inference(avatar_component_clause,[],[f29205]) ).
tff(f29205,plain,
( spl16_349
<=> divides1(2,div2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_349])]) ).
tff(f29273,plain,
( spl16_353
| ~ spl16_4
| ~ spl16_9
| spl16_349 ),
inference(avatar_split_clause,[],[f29272,f29205,f650,f623,f29260]) ).
tff(f29260,plain,
( spl16_353
<=> odd1(div2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_353])]) ).
tff(f29272,plain,
( odd1(div2(1,2))
| ~ spl16_4
| ~ spl16_9
| spl16_349 ),
inference(subsumption_resolution,[],[f29271,f624]) ).
tff(f29271,plain,
( odd1(div2(1,2))
| ~ prime1(2)
| ~ spl16_9
| spl16_349 ),
inference(subsumption_resolution,[],[f29253,f651]) ).
tff(f29253,plain,
( ~ even1(2)
| ~ prime1(2)
| odd1(div2(1,2))
| spl16_349 ),
inference(resolution,[],[f29206,f729]) ).
tff(f29270,plain,
( ~ spl16_344
| spl16_349 ),
inference(avatar_split_clause,[],[f29251,f29205,f29187]) ).
tff(f29187,plain,
( spl16_344
<=> even1(div2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_344])]) ).
tff(f29251,plain,
( ~ even1(div2(1,2))
| spl16_349 ),
inference(resolution,[],[f29206,f519]) ).
tff(f29269,plain,
( spl16_354
| spl16_349 ),
inference(avatar_split_clause,[],[f29249,f29205,f29267]) ).
tff(f29267,plain,
( spl16_354
<=> odd1($uminus(div2(1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_354])]) ).
tff(f29249,plain,
( odd1($uminus(div2(1,2)))
| spl16_349 ),
inference(resolution,[],[f29206,f719]) ).
tff(f29265,plain,
( ~ spl16_344
| ~ spl16_4
| ~ spl16_9
| spl16_349 ),
inference(avatar_split_clause,[],[f29264,f29205,f650,f623,f29187]) ).
tff(f29264,plain,
( ~ even1(div2(1,2))
| ~ spl16_4
| ~ spl16_9
| spl16_349 ),
inference(subsumption_resolution,[],[f29263,f651]) ).
tff(f29263,plain,
( ~ even1(2)
| ~ even1(div2(1,2))
| ~ spl16_4
| spl16_349 ),
inference(subsumption_resolution,[],[f29254,f624]) ).
tff(f29254,plain,
( ~ prime1(2)
| ~ even1(2)
| ~ even1(div2(1,2))
| spl16_349 ),
inference(resolution,[],[f29206,f727]) ).
tff(f727,plain,
! [X0: $int,X1: $int] :
( divides1(X0,X1)
| ~ prime1(X0)
| ~ even1(X1)
| ~ even1(X0) ),
inference(superposition,[],[f519,f583]) ).
tff(f29262,plain,
( spl16_353
| spl16_349 ),
inference(avatar_split_clause,[],[f29250,f29205,f29260]) ).
tff(f29250,plain,
( odd1(div2(1,2))
| spl16_349 ),
inference(resolution,[],[f29206,f534]) ).
tff(f29244,plain,
( ~ spl16_10
| spl16_344 ),
inference(avatar_contradiction_clause,[],[f29243]) ).
tff(f29243,plain,
( $false
| ~ spl16_10
| spl16_344 ),
inference(subsumption_resolution,[],[f29242,f655]) ).
tff(f29242,plain,
( ~ even1(0)
| spl16_344 ),
inference(evaluation,[],[f29241]) ).
tff(f29241,plain,
( $less(1,0)
| ~ even1(0)
| ~ $less(1,2)
| spl16_344 ),
inference(superposition,[],[f29188,f471]) ).
tff(f29188,plain,
( ~ even1(div2(1,2))
| spl16_344 ),
inference(avatar_component_clause,[],[f29187]) ).
tff(f29239,plain,
( spl16_351
| spl16_352 ),
inference(avatar_split_clause,[],[f29229,f29237,f29234]) ).
tff(f29234,plain,
( spl16_351
<=> ( 0 = $sum(0,div2(1,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_351])]) ).
tff(f29237,plain,
( spl16_352
<=> ! [X1: $int] :
( ~ $less(X1,2)
| even1(X1)
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_352])]) ).
tff(f29229,plain,
! [X1: $int] :
( ~ $less(X1,2)
| $less(X1,0)
| ( 0 = $sum(0,div2(1,2)) )
| even1(X1) ),
inference(duplicate_literal_removal,[],[f29215]) ).
tff(f29215,plain,
! [X1: $int] :
( $less(X1,0)
| $less(X1,0)
| even1(X1)
| ~ $less(X1,2)
| ( 0 = $sum(0,div2(1,2)) ) ),
inference(superposition,[],[f2395,f471]) ).
tff(f29212,plain,
( ~ spl16_349
| spl16_350 ),
inference(avatar_split_clause,[],[f29140,f29210,f29205]) ).
tff(f29210,plain,
( spl16_350
<=> ! [X5: $int] :
( ~ odd1(X5)
| ~ divides1(2,sK13(X5))
| even1(div2(X5,2))
| $less(sK13(X5),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_350])]) ).
tff(f29140,plain,
! [X5: $int] :
( ~ odd1(X5)
| $less(sK13(X5),0)
| even1(div2(X5,2))
| ~ divides1(2,div2(1,2))
| ~ divides1(2,sK13(X5)) ),
inference(superposition,[],[f1041,f2387]) ).
tff(f29207,plain,
( spl16_348
| ~ spl16_349 ),
inference(avatar_split_clause,[],[f29139,f29205,f29202]) ).
tff(f29202,plain,
( spl16_348
<=> ! [X4: $int] :
( ~ odd1(div2(X4,2))
| ~ odd1(X4)
| ~ divides1(2,sK13(X4))
| $less(sK13(X4),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_348])]) ).
tff(f29139,plain,
! [X4: $int] :
( ~ divides1(2,div2(1,2))
| ~ odd1(div2(X4,2))
| $less(sK13(X4),0)
| ~ divides1(2,sK13(X4))
| ~ odd1(X4) ),
inference(superposition,[],[f1040,f2387]) ).
tff(f1040,plain,
! [X4: $int,X5: $int] :
( ~ odd1($sum(X5,X4))
| ~ divides1(2,X5)
| ~ divides1(2,X4) ),
inference(resolution,[],[f475,f533]) ).
tff(f29199,plain,
( ~ spl16_344
| ~ spl16_346
| spl16_347 ),
inference(avatar_split_clause,[],[f29137,f29197,f29193,f29187]) ).
tff(f29193,plain,
( spl16_346
<=> prime1(div2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_346])]) ).
tff(f29197,plain,
( spl16_347
<=> ! [X2: $int] :
( ~ odd1(sK13(X2))
| odd1(div2(X2,2))
| ~ odd1(X2)
| $less(sK13(X2),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_347])]) ).
tff(f29137,plain,
! [X2: $int] :
( ~ odd1(sK13(X2))
| ~ prime1(div2(1,2))
| $less(sK13(X2),0)
| ~ odd1(X2)
| odd1(div2(X2,2))
| ~ even1(div2(1,2)) ),
inference(superposition,[],[f724,f2387]) ).
tff(f724,plain,
! [X0: $int,X1: $int] :
( odd1($sum(X1,X0))
| ~ even1(X0)
| ~ prime1(X0)
| ~ odd1(X1) ),
inference(superposition,[],[f468,f583]) ).
tff(f468,plain,
! [X0: $int] :
( odd1($sum(X0,2))
| ~ odd1(X0) ),
inference(cnf_transformation,[],[f301]) ).
tff(f301,plain,
! [X0: $int] :
( ~ odd1(X0)
| odd1($sum(X0,2)) ),
inference(ennf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: $int] :
( odd1(X0)
=> odd1($sum(X0,2)) ),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X14: $int] :
( odd1(X14)
=> odd1($sum(X14,2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_odd) ).
tff(f29195,plain,
( ~ spl16_344
| spl16_345
| ~ spl16_346 ),
inference(avatar_split_clause,[],[f29138,f29193,f29190,f29187]) ).
tff(f29190,plain,
( spl16_345
<=> ! [X3: $int] :
( ~ even1(sK13(X3))
| even1(div2(X3,2))
| ~ odd1(X3)
| $less(sK13(X3),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_345])]) ).
tff(f29138,plain,
! [X3: $int] :
( ~ prime1(div2(1,2))
| ~ even1(sK13(X3))
| $less(sK13(X3),0)
| ~ odd1(X3)
| even1(div2(X3,2))
| ~ even1(div2(1,2)) ),
inference(superposition,[],[f730,f2387]) ).
tff(f27981,plain,
( spl16_342
| spl16_343 ),
inference(avatar_split_clause,[],[f27980,f27976,f27973]) ).
tff(f27973,plain,
( spl16_342
<=> ! [X75: $int] :
( ~ $less(X75,0)
| ~ divides1(0,X75) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_342])]) ).
tff(f27976,plain,
( spl16_343
<=> ! [X77: $int,X76: $int] :
( divides1(X76,$sum(X77,0))
| ~ divides1(X76,X77) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_343])]) ).
tff(f27980,plain,
! [X72: $int,X73: $int,X74: $int] :
( ~ divides1(X73,X74)
| ~ divides1(0,X72)
| divides1(X73,$sum(X74,0))
| ~ $less(X72,0) ),
inference(subsumption_resolution,[],[f27979,f823]) ).
tff(f27979,plain,
! [X72: $int,X73: $int,X74: $int] :
( ~ $less(X72,0)
| ~ divides1(X73,X72)
| ~ divides1(0,X72)
| ~ divides1(X73,X74)
| divides1(X73,$sum(X74,0)) ),
inference(subsumption_resolution,[],[f27948,f564]) ).
tff(f27948,plain,
! [X72: $int,X73: $int,X74: $int] :
( ~ divides1(0,0)
| ~ divides1(X73,X74)
| ~ divides1(0,X72)
| ~ $less(X72,0)
| divides1(X73,$sum(X74,0))
| ~ divides1(X73,X72) ),
inference(superposition,[],[f1610,f2212]) ).
tff(f27978,plain,
( spl16_342
| spl16_343 ),
inference(avatar_split_clause,[],[f27971,f27976,f27973]) ).
tff(f27971,plain,
! [X76: $int,X77: $int,X75: $int] :
( divides1(X76,$sum(X77,0))
| ~ $less(X75,0)
| ~ divides1(X76,X77)
| ~ divides1(0,X75) ),
inference(subsumption_resolution,[],[f27968,f823]) ).
tff(f27968,plain,
! [X76: $int,X77: $int,X75: $int] :
( divides1(X76,$sum(X77,0))
| ~ divides1(X76,X75)
| ~ divides1(X76,X77)
| ~ divides1(0,X75)
| ~ $less(X75,0) ),
inference(evaluation,[],[f27949]) ).
tff(f27949,plain,
! [X76: $int,X77: $int,X75: $int] :
( ~ divides1(0,X75)
| ~ divides1(X76,X75)
| $less(0,0)
| ~ $less(X75,0)
| divides1(X76,$sum(X77,0))
| ~ divides1(X76,X77) ),
inference(superposition,[],[f1610,f2214]) ).
tff(f24130,plain,
( spl16_340
| spl16_341
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f24095,f11608,f24128,f24125]) ).
tff(f24128,plain,
( spl16_341
<=> ( 1 = $uminus(mod2(1,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_341])]) ).
tff(f11608,plain,
( spl16_221
<=> ! [X1: $int] : divides1(mod2(1,2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_221])]) ).
tff(f24095,plain,
( ( 1 = $uminus(mod2(1,2)) )
| ( $uminus(mod2(1,2)) = -1 )
| ~ spl16_221 ),
inference(resolution,[],[f11808,f609]) ).
tff(f11808,plain,
( ! [X12: $int] : divides1($uminus(mod2(1,2)),X12)
| ~ spl16_221 ),
inference(resolution,[],[f11609,f717]) ).
tff(f11609,plain,
( ! [X1: $int] : divides1(mod2(1,2),X1)
| ~ spl16_221 ),
inference(avatar_component_clause,[],[f11608]) ).
tff(f24123,plain,
( spl16_338
| ~ spl16_339
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f24078,f11608,f24121,f24118]) ).
tff(f24118,plain,
( spl16_338
<=> ! [X6: $int] :
( ~ $less($uminus(mod2(1,2)),X6)
| ~ prime1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_338])]) ).
tff(f24121,plain,
( spl16_339
<=> $less(1,$uminus(mod2(1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_339])]) ).
tff(f24078,plain,
( ! [X6: $int] :
( ~ $less(1,$uminus(mod2(1,2)))
| ~ $less($uminus(mod2(1,2)),X6)
| ~ prime1(X6) )
| ~ spl16_221 ),
inference(resolution,[],[f11808,f551]) ).
tff(f24048,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24017]) ).
tff(f24017,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f1751]) ).
tff(f14790,plain,
( ! [X91: $int] : $less(X91,0)
| ~ spl16_262 ),
inference(avatar_component_clause,[],[f14789]) ).
tff(f24047,plain,
( spl16_198
| ~ spl16_262 ),
inference(avatar_contradiction_clause,[],[f24027]) ).
tff(f24027,plain,
( $false
| spl16_198
| ~ spl16_262 ),
inference(resolution,[],[f14790,f11214]) ).
tff(f24046,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24031]) ).
tff(f24031,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f579]) ).
tff(f24045,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24044]) ).
tff(f24044,plain,
( $false
| ~ spl16_262 ),
inference(evaluation,[],[f24008]) ).
tff(f24008,plain,
( $less(0,0)
| ~ spl16_262 ),
inference(resolution,[],[f14790,f1198]) ).
tff(f24042,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24020]) ).
tff(f24020,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f1820]) ).
tff(f24041,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24016]) ).
tff(f24016,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f568]) ).
tff(f24040,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24021]) ).
tff(f24021,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f1918]) ).
tff(f24039,plain,
( spl16_3
| ~ spl16_262 ),
inference(avatar_contradiction_clause,[],[f24034]) ).
tff(f24034,plain,
( $false
| spl16_3
| ~ spl16_262 ),
inference(resolution,[],[f14790,f620]) ).
tff(f24038,plain,
~ spl16_262,
inference(avatar_contradiction_clause,[],[f24022]) ).
tff(f24022,plain,
( $false
| ~ spl16_262 ),
inference(resolution,[],[f14790,f2601]) ).
tff(f2601,plain,
! [X0: $int] : ~ $less(abs1(sK2(X0,1)),X0),
inference(subsumption_resolution,[],[f2600,f571]) ).
tff(f2600,plain,
! [X0: $int] :
( ~ divides1(1,X0)
| ~ $less(abs1(sK2(X0,1)),X0) ),
inference(superposition,[],[f2589,f523]) ).
tff(f2589,plain,
! [X0: $int] : ~ $less(abs1(X0),$product(X0,1)),
inference(resolution,[],[f1553,f514]) ).
tff(f1553,plain,
! [X0: $int] : ~ $less(abs1(X0),abs1($product(X0,1))),
inference(evaluation,[],[f1550]) ).
tff(f1550,plain,
! [X0: $int] :
( ( 0 = 1 )
| ~ $less(abs1(X0),abs1($product(X0,1))) ),
inference(superposition,[],[f544,f496]) ).
tff(f24007,plain,
( ~ spl16_73
| ~ spl16_335 ),
inference(avatar_contradiction_clause,[],[f24006]) ).
tff(f24006,plain,
( $false
| ~ spl16_73
| ~ spl16_335 ),
inference(subsumption_resolution,[],[f23993,f2917]) ).
tff(f2917,plain,
( ! [X38: $int] : coprime1(1,X38)
| ~ spl16_73 ),
inference(avatar_component_clause,[],[f2916]) ).
tff(f2916,plain,
( spl16_73
<=> ! [X38: $int] : coprime1(1,X38) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_73])]) ).
tff(f23993,plain,
( ! [X1: $int] : ~ coprime1(1,X1)
| ~ spl16_335 ),
inference(evaluation,[],[f23992]) ).
tff(f23992,plain,
( ! [X1: $int] :
( $less(1,0)
| ~ coprime1(1,X1) )
| ~ spl16_335 ),
inference(superposition,[],[f23313,f585]) ).
tff(f23313,plain,
( ! [X58: $int] : ~ coprime1(abs1(1),X58)
| ~ spl16_335 ),
inference(avatar_component_clause,[],[f23312]) ).
tff(f23312,plain,
( spl16_335
<=> ! [X58: $int] : ~ coprime1(abs1(1),X58) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_335])]) ).
tff(f24005,plain,
( ~ spl16_73
| ~ spl16_124
| ~ spl16_335 ),
inference(avatar_contradiction_clause,[],[f24004]) ).
tff(f24004,plain,
( $false
| ~ spl16_73
| ~ spl16_124
| ~ spl16_335 ),
inference(subsumption_resolution,[],[f23991,f2917]) ).
tff(f23991,plain,
( ! [X0: $int] : ~ coprime1(1,X0)
| ~ spl16_124
| ~ spl16_335 ),
inference(superposition,[],[f23313,f6669]) ).
tff(f24002,plain,
( ~ spl16_120
| ~ spl16_335 ),
inference(avatar_contradiction_clause,[],[f24001]) ).
tff(f24001,plain,
( $false
| ~ spl16_120
| ~ spl16_335 ),
inference(subsumption_resolution,[],[f23984,f6561]) ).
tff(f6561,plain,
( odd1(abs1(1))
| ~ spl16_120 ),
inference(avatar_component_clause,[],[f6560]) ).
tff(f6560,plain,
( spl16_120
<=> odd1(abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_120])]) ).
tff(f23984,plain,
( ~ odd1(abs1(1))
| ~ spl16_335 ),
inference(resolution,[],[f23313,f12583]) ).
tff(f12583,plain,
! [X3: $int] :
( coprime1(X3,2)
| ~ odd1(X3) ),
inference(subsumption_resolution,[],[f12574,f2670]) ).
tff(f12574,plain,
! [X3: $int] :
( ( 1 != gcd1(2,1) )
| ~ odd1(X3)
| coprime1(X3,2) ),
inference(evaluation,[],[f12543]) ).
tff(f12543,plain,
! [X3: $int] :
( coprime1(X3,2)
| ~ odd1(X3)
| ( 1 != gcd1(2,1) )
| ( 0 = 2 ) ),
inference(superposition,[],[f1506,f1807]) ).
tff(f1807,plain,
! [X0: $int] :
( ( 1 = $remainder_e(X0,2) )
| ~ odd1(X0) ),
inference(evaluation,[],[f1801]) ).
tff(f1801,plain,
! [X0: $int] :
( ~ $less(0,2)
| ( $remainder_e(1,2) = $remainder_e(X0,2) )
| ~ odd1(X0) ),
inference(superposition,[],[f483,f590]) ).
tff(f483,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( $remainder_e($sum($product(X2,X0),X1),X2) = $remainder_e(X1,X2) )
| ~ $less(0,X2) ),
inference(cnf_transformation,[],[f385]) ).
tff(f385,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X2)
| ( $remainder_e($sum($product(X2,X0),X1),X2) = $remainder_e(X1,X2) ) ),
inference(rectify,[],[f300]) ).
tff(f300,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less(0,X0)
| ( $remainder_e(X2,X0) = $remainder_e($sum($product(X0,X1),X2),X0) ) ),
inference(ennf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(0,X0)
=> ( $remainder_e(X2,X0) = $remainder_e($sum($product(X0,X1),X2),X0) ) ),
inference(rectify,[],[f74]) ).
tff(f74,axiom,
! [X1: $int,X7: $int,X4: $int] :
( $less(0,X1)
=> ( $remainder_e($sum($product(X1,X7),X4),X1) = $remainder_e(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult1) ).
tff(f1506,plain,
! [X12: $int,X13: $int] :
( ( 1 != gcd1(X13,$remainder_e(X12,X13)) )
| coprime1(X12,X13)
| ( 0 = X13 ) ),
inference(superposition,[],[f558,f509]) ).
tff(f24000,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23986]) ).
tff(f23986,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f14463]) ).
tff(f14463,plain,
! [X12: $int,X13: $int] : coprime1(X12,gcd1(X13,1)),
inference(resolution,[],[f2911,f9507]) ).
tff(f9507,plain,
! [X8: $int,X9: $int] : coprime1(gcd1(X9,1),X8),
inference(subsumption_resolution,[],[f9420,f2670]) ).
tff(f9420,plain,
! [X8: $int,X9: $int] :
( ( 1 != gcd1(X9,1) )
| coprime1(gcd1(X9,1),X8) ),
inference(superposition,[],[f1251,f3063]) ).
tff(f23999,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23985]) ).
tff(f23985,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f14462]) ).
tff(f14462,plain,
! [X10: $int,X11: $int] : coprime1(X10,gcd1(1,X11)),
inference(resolution,[],[f2911,f9493]) ).
tff(f9493,plain,
! [X24: $int,X25: $int] : coprime1(gcd1(1,X24),X25),
inference(trivial_inequality_removal,[],[f9471]) ).
tff(f9471,plain,
! [X24: $int,X25: $int] :
( ( 1 != 1 )
| coprime1(gcd1(1,X24),X25) ),
inference(superposition,[],[f1251,f3063]) ).
tff(f23998,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23988]) ).
tff(f23988,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f14465]) ).
tff(f14465,plain,
! [X16: $int,X17: $int] : coprime1(X16,gcd1(-1,X17)),
inference(resolution,[],[f2911,f9494]) ).
tff(f23997,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23990]) ).
tff(f23990,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f4663]) ).
tff(f23996,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23982]) ).
tff(f23982,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f14456]) ).
tff(f23995,plain,
( ~ spl16_68
| ~ spl16_335 ),
inference(avatar_contradiction_clause,[],[f23983]) ).
tff(f23983,plain,
( $false
| ~ spl16_68
| ~ spl16_335 ),
inference(resolution,[],[f23313,f2688]) ).
tff(f23994,plain,
~ spl16_335,
inference(avatar_contradiction_clause,[],[f23987]) ).
tff(f23987,plain,
( $false
| ~ spl16_335 ),
inference(resolution,[],[f23313,f14464]) ).
tff(f14464,plain,
! [X14: $int,X15: $int] : coprime1(X14,gcd1(X15,-1)),
inference(resolution,[],[f2911,f9496]) ).
tff(f9496,plain,
! [X10: $int,X11: $int] : coprime1(gcd1(X11,-1),X10),
inference(subsumption_resolution,[],[f9421,f2670]) ).
tff(f9421,plain,
! [X10: $int,X11: $int] :
( ( 1 != gcd1(X11,1) )
| coprime1(gcd1(X11,-1),X10) ),
inference(superposition,[],[f1251,f4636]) ).
tff(f23340,plain,
( spl16_337
| spl16_335
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f23038,f6371,f3221,f23312,f23338]) ).
tff(f23338,plain,
( spl16_337
<=> ! [X62: $int,X63: $int] : odd1(gcd1(gcd1(abs1(1),X62),X63)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_337])]) ).
tff(f23038,plain,
( ! [X62: $int,X63: $int,X61: $int] :
( ~ coprime1(abs1(1),X61)
| odd1(gcd1(gcd1(abs1(1),X62),X63)) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1468]) ).
tff(f23322,plain,
( spl16_335
| spl16_336
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f23039,f6371,f23320,f23312]) ).
tff(f23320,plain,
( spl16_336
<=> ! [X66: $int,X65: $int] : divides1(gcd1(gcd1(abs1(1),X65),X66),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_336])]) ).
tff(f23039,plain,
( ! [X65: $int,X66: $int,X64: $int] :
( divides1(gcd1(gcd1(abs1(1),X65),X66),-1)
| ~ coprime1(abs1(1),X64) )
| ~ spl16_111 ),
inference(superposition,[],[f8424,f1468]) ).
tff(f23314,plain,
( spl16_334
| spl16_335
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f23037,f6371,f3221,f23312,f23309]) ).
tff(f23309,plain,
( spl16_334
<=> ! [X60: $int,X59: $int] : ~ even1(gcd1(gcd1(abs1(1),X59),X60)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_334])]) ).
tff(f23037,plain,
( ! [X58: $int,X59: $int,X60: $int] :
( ~ coprime1(abs1(1),X58)
| ~ even1(gcd1(gcd1(abs1(1),X59),X60)) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22164,f1468]) ).
tff(f22164,plain,
( ! [X8: $int] : ~ even1(gcd1(abs1(1),X8))
| spl16_78
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f22092,f5290]) ).
tff(f22092,plain,
( ! [X8: $int] :
( ~ even1(gcd1(abs1(1),X8))
| divides1(2,-1) )
| ~ spl16_111 ),
inference(resolution,[],[f8424,f834]) ).
tff(f22636,plain,
( spl16_333
| spl16_294
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22610,f6371,f3221,f19086,f22632]) ).
tff(f22632,plain,
( spl16_333
<=> ! [X45: $int] : ~ even1(gcd1(X45,$uminus(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_333])]) ).
tff(f19086,plain,
( spl16_294
<=> ( 0 = $uminus(abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_294])]) ).
tff(f22610,plain,
( ! [X34: $int] :
( ( 0 = $uminus(abs1(1)) )
| ~ even1(gcd1(X34,$uminus(abs1(1)))) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22164,f1558]) ).
tff(f22635,plain,
( spl16_333
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22585,f6371,f3221,f22632]) ).
tff(f22585,plain,
( ! [X6: $int] : ~ even1(gcd1(X6,$uminus(abs1(1))))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22164,f754]) ).
tff(f22634,plain,
( spl16_294
| spl16_333
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22621,f6371,f3221,f22632,f19086]) ).
tff(f22621,plain,
( ! [X45: $int] :
( ~ even1(gcd1(X45,$uminus(abs1(1))))
| ( 0 = $uminus(abs1(1)) ) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22164,f1499]) ).
tff(f22519,plain,
( spl16_294
| spl16_331
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22486,f6371,f3221,f22507,f19086]) ).
tff(f22507,plain,
( spl16_331
<=> ! [X34: $int] : odd1(gcd1(X34,$uminus(abs1(1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_331])]) ).
tff(f22486,plain,
( ! [X45: $int] :
( odd1(gcd1(X45,$uminus(abs1(1))))
| ( 0 = $uminus(abs1(1)) ) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1499]) ).
tff(f22518,plain,
( ~ spl16_332
| spl16_12
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22514,f6371,f3221,f667,f22516]) ).
tff(f22516,plain,
( spl16_332
<=> divides1(0,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_332])]) ).
tff(f22514,plain,
( ~ divides1(0,abs1(1))
| spl16_12
| spl16_78
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f22513,f8455]) ).
tff(f8455,plain,
( ! [X21: $int,X20: $int] :
( divides1(X21,X20)
| ~ divides1(X21,abs1(1)) )
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f8429,f2761]) ).
tff(f8429,plain,
( ! [X21: $int,X20: $int] :
( divides1(X21,X20)
| ~ divides1(X21,abs1(1))
| ~ divides1(-1,X20) )
| ~ spl16_111 ),
inference(superposition,[],[f828,f6372]) ).
tff(f828,plain,
! [X18: $int,X19: $int,X20: $int] :
( ~ divides1($uminus(X20),X19)
| divides1(X18,X19)
| ~ divides1(X18,X20) ),
inference(resolution,[],[f474,f486]) ).
tff(f22513,plain,
( ! [X18: $int] :
( ~ divides1(0,abs1(1))
| ~ divides1(0,X18) )
| spl16_12
| spl16_78
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f22459,f668]) ).
tff(f22459,plain,
( ! [X18: $int] :
( ~ divides1(0,X18)
| odd1(0)
| ~ divides1(0,abs1(1)) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f2212]) ).
tff(f22512,plain,
( spl16_330
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22446,f6371,f3221,f22497]) ).
tff(f22497,plain,
( spl16_330
<=> ! [X32: $int] : odd1(gcd1(X32,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_330])]) ).
tff(f22446,plain,
( ! [X2: $int] : odd1(gcd1(X2,abs1(1)))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f520]) ).
tff(f22511,plain,
( spl16_159
| spl16_330
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22485,f6371,f3221,f22497,f8546]) ).
tff(f8546,plain,
( spl16_159
<=> ( 0 = abs1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_159])]) ).
tff(f22485,plain,
( ! [X44: $int] :
( odd1(gcd1(X44,abs1(1)))
| ( 0 = abs1(1) ) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1512]) ).
tff(f22510,plain,
( spl16_331
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22450,f6371,f3221,f22507]) ).
tff(f22450,plain,
( ! [X6: $int] : odd1(gcd1(X6,$uminus(abs1(1))))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f754]) ).
tff(f22509,plain,
( spl16_294
| spl16_331
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22475,f6371,f3221,f22507,f19086]) ).
tff(f22475,plain,
( ! [X34: $int] :
( odd1(gcd1(X34,$uminus(abs1(1))))
| ( 0 = $uminus(abs1(1)) ) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1558]) ).
tff(f22505,plain,
( spl16_159
| spl16_330
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22484,f6371,f3221,f22497,f8546]) ).
tff(f22484,plain,
( ! [X43: $int] :
( odd1(gcd1(X43,abs1(1)))
| ( 0 = abs1(1) ) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f509]) ).
tff(f22504,plain,
( spl16_330
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22469,f6371,f3221,f22497]) ).
tff(f22469,plain,
( ! [X28: $int] : odd1(gcd1(X28,abs1(1)))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f754]) ).
tff(f22503,plain,
( spl16_330
| spl16_159
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22474,f6371,f3221,f8546,f22497]) ).
tff(f22474,plain,
( ! [X33: $int] :
( ( 0 = abs1(1) )
| odd1(gcd1(X33,abs1(1))) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1564]) ).
tff(f22502,plain,
( spl16_330
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22447,f6371,f3221,f22497]) ).
tff(f22447,plain,
( ! [X3: $int] : odd1(gcd1(X3,abs1(1)))
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f520]) ).
tff(f22501,plain,
( spl16_330
| spl16_159
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22500,f6371,f3221,f8546,f22497]) ).
tff(f22500,plain,
( ! [X21: $int] :
( ( 0 = abs1(1) )
| odd1(gcd1(X21,abs1(1))) )
| spl16_78
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f22462,f8456]) ).
tff(f8456,plain,
( ! [X7: $int] : divides1(abs1(1),X7)
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f8408,f2761]) ).
tff(f8408,plain,
( ! [X7: $int] :
( ~ divides1(-1,X7)
| divides1(abs1(1),X7) )
| ~ spl16_111 ),
inference(superposition,[],[f515,f6372]) ).
tff(f22462,plain,
( ! [X21: $int] :
( odd1(gcd1(X21,abs1(1)))
| ( 0 = abs1(1) )
| ~ divides1(abs1(1),X21) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f1528]) ).
tff(f22499,plain,
( spl16_330
| spl16_159
| spl16_78
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22473,f6371,f3221,f8546,f22497]) ).
tff(f22473,plain,
( ! [X32: $int] :
( ( 0 = abs1(1) )
| odd1(gcd1(X32,abs1(1))) )
| spl16_78
| ~ spl16_111 ),
inference(superposition,[],[f22152,f545]) ).
tff(f22438,plain,
( spl16_328
| spl16_329 ),
inference(avatar_split_clause,[],[f22431,f22436,f22433]) ).
tff(f22433,plain,
( spl16_328
<=> ! [X0: $int] :
( ( 0 = X0 )
| ~ prime1(X0)
| ~ even1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_328])]) ).
tff(f22436,plain,
( spl16_329
<=> ! [X1: $int] :
( ( $sum(X1,0) = X1 )
| $less(X1,0)
| ~ even1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_329])]) ).
tff(f22431,plain,
! [X0: $int,X1: $int] :
( ( $sum(X1,0) = X1 )
| ~ even1(X1)
| ( 0 = X0 )
| ~ even1(X0)
| $less(X1,0)
| ~ prime1(X0) ),
inference(subsumption_resolution,[],[f22308,f727]) ).
tff(f22308,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ( $sum(X1,0) = X1 )
| ~ even1(X0)
| ~ even1(X1)
| ( 0 = X0 )
| ~ prime1(X0)
| ~ divides1(X0,X1) ),
inference(superposition,[],[f1817,f1432]) ).
tff(f1432,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,div2(X1,X0)) = X1 )
| $less(X1,0)
| ~ even1(X1)
| ~ even1(X0)
| ~ prime1(X0) ),
inference(superposition,[],[f451,f583]) ).
tff(f22165,plain,
( spl16_326
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22129,f6371,f22155]) ).
tff(f22155,plain,
( spl16_326
<=> ! [X23: $int] : divides1(gcd1($uminus(abs1(1)),X23),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_326])]) ).
tff(f22129,plain,
( ! [X37: $int] : divides1(gcd1($uminus(abs1(1)),X37),-1)
| ~ spl16_111 ),
inference(superposition,[],[f8424,f1546]) ).
tff(f22161,plain,
( spl16_325
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22102,f6371,f22149]) ).
tff(f22149,plain,
( spl16_325
<=> ! [X34: $int] : divides1(gcd1(X34,$uminus(abs1(1))),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_325])]) ).
tff(f22102,plain,
( ! [X6: $int] : divides1(gcd1(X6,$uminus(abs1(1))),-1)
| ~ spl16_111 ),
inference(superposition,[],[f8424,f754]) ).
tff(f22160,plain,
( spl16_326
| spl16_327
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22117,f6371,f22158,f22155]) ).
tff(f22158,plain,
( spl16_327
<=> ! [X22: $int] : ~ coprime1($uminus(abs1(1)),X22) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_327])]) ).
tff(f22117,plain,
( ! [X22: $int,X23: $int] :
( ~ coprime1($uminus(abs1(1)),X22)
| divides1(gcd1($uminus(abs1(1)),X23),-1) )
| ~ spl16_111 ),
inference(superposition,[],[f8424,f1476]) ).
tff(f22153,plain,
( spl16_294
| spl16_325
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22138,f6371,f22149,f19086]) ).
tff(f22138,plain,
( ! [X45: $int] :
( divides1(gcd1(X45,$uminus(abs1(1))),-1)
| ( 0 = $uminus(abs1(1)) ) )
| ~ spl16_111 ),
inference(superposition,[],[f8424,f1499]) ).
tff(f22151,plain,
( spl16_325
| spl16_294
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f22127,f6371,f19086,f22149]) ).
tff(f22127,plain,
( ! [X34: $int] :
( ( 0 = $uminus(abs1(1)) )
| divides1(gcd1(X34,$uminus(abs1(1))),-1) )
| ~ spl16_111 ),
inference(superposition,[],[f8424,f1558]) ).
tff(f22068,plain,
( spl16_262
| spl16_324 ),
inference(avatar_split_clause,[],[f22031,f22066,f14789]) ).
tff(f22066,plain,
( spl16_324
<=> divides1($product(2,gcd1(1,0)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_324])]) ).
tff(f22031,plain,
! [X125: $int] :
( divides1($product(2,gcd1(1,0)),2)
| $less(X125,0) ),
inference(evaluation,[],[f22007]) ).
tff(f22007,plain,
! [X125: $int] :
( divides1($product(2,gcd1(1,0)),$product(2,1))
| $less(1,0)
| $less(X125,0) ),
inference(superposition,[],[f2139,f1597]) ).
tff(f2139,plain,
! [X4: $int,X5: $int] :
( divides1($product(2,gcd1(X4,X5)),$product(2,X5))
| $less(X4,0)
| $less(X5,0) ),
inference(superposition,[],[f505,f507]) ).
tff(f505,plain,
! [X0: $int,X1: $int] : divides1(gcd1(X0,X1),X1),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: $int,X1: $int] : divides1(gcd1(X0,X1),X1),
inference(rectify,[],[f83]) ).
tff(f83,axiom,
! [X0: $int,X18: $int] : divides1(gcd1(X0,X18),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_def2) ).
tff(f21493,plain,
( spl16_321
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21445,f21414,f21480]) ).
tff(f21480,plain,
( spl16_321
<=> ! [X9: $int] : divides1($uminus(abs1(2)),X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_321])]) ).
tff(f21414,plain,
( spl16_314
<=> ! [X1: $int] : divides1(abs1(2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_314])]) ).
tff(f21445,plain,
( ! [X17: $int] : divides1($uminus(abs1(2)),X17)
| ~ spl16_314 ),
inference(resolution,[],[f21415,f717]) ).
tff(f21415,plain,
( ! [X1: $int] : divides1(abs1(2),X1)
| ~ spl16_314 ),
inference(avatar_component_clause,[],[f21414]) ).
tff(f21492,plain,
( spl16_322
| spl16_323
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21450,f21414,f21490,f21487]) ).
tff(f21487,plain,
( spl16_322
<=> ( 1 = abs1(2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_322])]) ).
tff(f21490,plain,
( spl16_323
<=> ( -1 = abs1(2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_323])]) ).
tff(f21450,plain,
( ( -1 = abs1(2) )
| ( 1 = abs1(2) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f609]) ).
tff(f21485,plain,
( ~ spl16_316
| spl16_34
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21438,f21414,f1351,f21462]) ).
tff(f21462,plain,
( spl16_316
<=> even1(abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_316])]) ).
tff(f21438,plain,
( ! [X7: $int] :
( divides1(2,X7)
| ~ even1(abs1(2)) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f834]) ).
tff(f21483,plain,
( ~ spl16_234
| spl16_106
| ~ spl16_316
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21435,f21414,f21462,f6129,f11940]) ).
tff(f6129,plain,
( spl16_106
<=> ! [X5: $int] : even1(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_106])]) ).
tff(f21435,plain,
( ! [X4: $int] :
( ~ even1(abs1(2))
| even1(X4)
| ~ prime1(abs1(2)) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f726]) ).
tff(f726,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,X1)
| ~ prime1(X0)
| even1(X1)
| ~ even1(X0) ),
inference(superposition,[],[f518,f583]) ).
tff(f21482,plain,
( spl16_320
| spl16_321
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21440,f21414,f21480,f21477]) ).
tff(f21477,plain,
( spl16_320
<=> ! [X10: $int] : ~ coprime1($uminus(abs1(2)),X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_320])]) ).
tff(f21440,plain,
( ! [X10: $int,X9: $int] :
( divides1($uminus(abs1(2)),X9)
| ~ coprime1($uminus(abs1(2)),X10) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f1208]) ).
tff(f21475,plain,
( spl16_319
| spl16_34
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21437,f21414,f1351,f21473]) ).
tff(f21473,plain,
( spl16_319
<=> odd1(abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_319])]) ).
tff(f21437,plain,
( ! [X6: $int] :
( divides1(2,X6)
| odd1(abs1(2)) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f833]) ).
tff(f21471,plain,
( spl16_317
| spl16_318
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21439,f21414,f21469,f21466]) ).
tff(f21466,plain,
( spl16_317
<=> ! [X8: $int] :
( ( 0 = X8 )
| ~ $less(X8,abs1(2))
| $less(X8,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_317])]) ).
tff(f21469,plain,
( spl16_318
<=> ( 0 = abs1(2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_318])]) ).
tff(f21439,plain,
( ! [X8: $int] :
( ( 0 = abs1(2) )
| ( 0 = X8 )
| $less(X8,0)
| ~ $less(X8,abs1(2)) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f1354]) ).
tff(f1354,plain,
! [X3: $int,X4: $int] :
( ~ divides1(X4,X3)
| $less(X3,0)
| ( 0 = X3 )
| ( 0 = X4 )
| ~ $less(X3,X4) ),
inference(superposition,[],[f555,f537]) ).
tff(f21464,plain,
( ~ spl16_234
| ~ spl16_316
| spl16_92
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21436,f21414,f5044,f21462,f11940]) ).
tff(f5044,plain,
( spl16_92
<=> ! [X0: $int] : ~ odd1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_92])]) ).
tff(f21436,plain,
( ! [X5: $int] :
( ~ odd1(X5)
| ~ even1(abs1(2))
| ~ prime1(abs1(2)) )
| ~ spl16_314 ),
inference(resolution,[],[f21415,f728]) ).
tff(f728,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,X1)
| ~ prime1(X0)
| ~ even1(X0)
| ~ odd1(X1) ),
inference(superposition,[],[f533,f583]) ).
tff(f21460,plain,
( spl16_34
| ~ spl16_314 ),
inference(avatar_split_clause,[],[f21459,f21414,f1351]) ).
tff(f21459,plain,
( ! [X0: $int] : divides1(2,X0)
| ~ spl16_314 ),
inference(evaluation,[],[f21457]) ).
tff(f21457,plain,
( ! [X0: $int] :
( divides1(2,X0)
| $less(2,0) )
| ~ spl16_314 ),
inference(superposition,[],[f21415,f585]) ).
tff(f21458,plain,
( spl16_239
| ~ spl16_314 ),
inference(avatar_contradiction_clause,[],[f21432]) ).
tff(f21432,plain,
( $false
| spl16_239
| ~ spl16_314 ),
inference(resolution,[],[f21415,f12075]) ).
tff(f12075,plain,
( ~ divides1(abs1(2),1)
| spl16_239 ),
inference(avatar_component_clause,[],[f12074]) ).
tff(f12074,plain,
( spl16_239
<=> divides1(abs1(2),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_239])]) ).
tff(f21419,plain,
( spl16_314
| ~ spl16_315
| ~ spl16_303 ),
inference(avatar_split_clause,[],[f21402,f19428,f21417,f21414]) ).
tff(f21417,plain,
( spl16_315
<=> divides1(abs1(2),mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_315])]) ).
tff(f19428,plain,
( spl16_303
<=> coprime1(abs1(2),mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_303])]) ).
tff(f21402,plain,
( ! [X1: $int] :
( ~ divides1(abs1(2),mod2(1,2))
| divides1(abs1(2),X1) )
| ~ spl16_303 ),
inference(resolution,[],[f19429,f1202]) ).
tff(f19429,plain,
( coprime1(abs1(2),mod2(1,2))
| ~ spl16_303 ),
inference(avatar_component_clause,[],[f19428]) ).
tff(f21396,plain,
( spl16_313
| ~ spl16_286 ),
inference(avatar_split_clause,[],[f21392,f17325,f21394]) ).
tff(f17325,plain,
( spl16_286
<=> $less($uminus(gcd1(1,0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_286])]) ).
tff(f21392,plain,
( ( -1 = $uminus(gcd1(1,0)) )
| ~ spl16_286 ),
inference(subsumption_resolution,[],[f21378,f2641]) ).
tff(f2641,plain,
! [X17: $int] : divides1(gcd1(1,0),X17),
inference(superposition,[],[f722,f1597]) ).
tff(f722,plain,
! [X11: $int,X12: $int] : divides1(gcd1($uminus(X11),X12),X11),
inference(resolution,[],[f567,f595]) ).
tff(f21378,plain,
( ( -1 = $uminus(gcd1(1,0)) )
| ~ divides1(gcd1(1,0),1)
| ~ spl16_286 ),
inference(evaluation,[],[f21371]) ).
tff(f21371,plain,
( $less(1,0)
| ~ divides1(gcd1(1,0),1)
| ( -1 = $uminus(gcd1(1,0)) )
| ~ spl16_286 ),
inference(superposition,[],[f17326,f910]) ).
tff(f17326,plain,
( $less($uminus(gcd1(1,0)),0)
| ~ spl16_286 ),
inference(avatar_component_clause,[],[f17325]) ).
tff(f21391,plain,
( spl16_312
| ~ spl16_286 ),
inference(avatar_split_clause,[],[f21380,f17325,f21389]) ).
tff(f21389,plain,
( spl16_312
<=> lt_nat1($uminus(gcd1(1,0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_312])]) ).
tff(f21380,plain,
( lt_nat1($uminus(gcd1(1,0)),0)
| ~ spl16_286 ),
inference(evaluation,[],[f21349]) ).
tff(f21349,plain,
( $less(0,0)
| lt_nat1($uminus(gcd1(1,0)),0)
| ~ spl16_286 ),
inference(resolution,[],[f17326,f577]) ).
tff(f21386,plain,
( spl16_311
| ~ spl16_286 ),
inference(avatar_split_clause,[],[f21359,f17325,f21383]) ).
tff(f21383,plain,
( spl16_311
<=> $less($uminus(gcd1(0,1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_311])]) ).
tff(f21359,plain,
( $less($uminus(gcd1(0,1)),0)
| ~ spl16_286 ),
inference(superposition,[],[f17326,f520]) ).
tff(f21385,plain,
( spl16_311
| ~ spl16_286 ),
inference(avatar_split_clause,[],[f21360,f17325,f21383]) ).
tff(f21360,plain,
( $less($uminus(gcd1(0,1)),0)
| ~ spl16_286 ),
inference(superposition,[],[f17326,f520]) ).
tff(f21345,plain,
( ~ spl16_310
| spl16_284 ),
inference(avatar_split_clause,[],[f21322,f17318,f21340]) ).
tff(f21340,plain,
( spl16_310
<=> $less(1,$uminus(gcd1(0,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_310])]) ).
tff(f17318,plain,
( spl16_284
<=> $less(1,$uminus(gcd1(1,0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_284])]) ).
tff(f21322,plain,
( ~ $less(1,$uminus(gcd1(0,1)))
| spl16_284 ),
inference(superposition,[],[f17319,f520]) ).
tff(f17319,plain,
( ~ $less(1,$uminus(gcd1(1,0)))
| spl16_284 ),
inference(avatar_component_clause,[],[f17318]) ).
tff(f21342,plain,
( ~ spl16_310
| spl16_284 ),
inference(avatar_split_clause,[],[f21321,f17318,f21340]) ).
tff(f21321,plain,
( ~ $less(1,$uminus(gcd1(0,1)))
| spl16_284 ),
inference(superposition,[],[f17319,f520]) ).
tff(f20911,plain,
( ~ spl16_309
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f20907,f3218,f20909]) ).
tff(f20909,plain,
( spl16_309
<=> divides1(-2,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_309])]) ).
tff(f3218,plain,
( spl16_77
<=> ! [X57: $int] : odd1(gcd1(X57,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_77])]) ).
tff(f20907,plain,
( ~ divides1(-2,-1)
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f20904,f4690]) ).
tff(f20904,plain,
( ! [X3: $int] :
( ~ divides1(-2,X3)
| ~ divides1(-2,-1) )
| ~ spl16_77 ),
inference(evaluation,[],[f20866]) ).
tff(f20866,plain,
( ! [X3: $int] :
( ~ divides1($uminus(2),X3)
| ~ divides1($uminus(2),-1) )
| ~ spl16_77 ),
inference(resolution,[],[f20196,f1325]) ).
tff(f20196,plain,
( ! [X10: $int] : ~ divides1(2,gcd1(X10,-1))
| ~ spl16_77 ),
inference(evaluation,[],[f20141]) ).
tff(f20141,plain,
( ! [X10: $int] : ~ divides1(2,gcd1(X10,$uminus(1)))
| ~ spl16_77 ),
inference(superposition,[],[f20079,f754]) ).
tff(f20079,plain,
( ! [X6: $int] : ~ divides1(2,gcd1(1,X6))
| ~ spl16_77 ),
inference(superposition,[],[f19509,f520]) ).
tff(f19509,plain,
( ! [X0: $int] : ~ divides1(2,gcd1(X0,1))
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f19431,f15151]) ).
tff(f15151,plain,
! [X8: $int,X9: $int,X7: $int] :
( divides1(X7,X8)
| ~ divides1(X7,gcd1(X9,1)) ),
inference(resolution,[],[f14463,f1202]) ).
tff(f19431,plain,
( ! [X0: $int,X1: $int] :
( ~ divides1(2,gcd1(X0,1))
| ~ divides1(2,X1) )
| ~ spl16_77 ),
inference(resolution,[],[f3389,f1328]) ).
tff(f3389,plain,
( ! [X11: $int,X12: $int] : odd1(gcd1(X11,gcd1(X12,1)))
| ~ spl16_77 ),
inference(superposition,[],[f3219,f547]) ).
tff(f3219,plain,
( ! [X57: $int] : odd1(gcd1(X57,1))
| ~ spl16_77 ),
inference(avatar_component_clause,[],[f3218]) ).
tff(f20862,plain,
( spl16_308
| spl16_298
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f20574,f6143,f19105,f20860]) ).
tff(f20860,plain,
( spl16_308
<=> ! [X15: $int] : ( gcd1(abs1(-1),mod2(X15,-1)) = gcd1(X15,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_308])]) ).
tff(f19105,plain,
( spl16_298
<=> ( 0 = $uminus(abs1(-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_298])]) ).
tff(f20574,plain,
( ! [X15: $int] :
( ( 0 = $uminus(abs1(-1)) )
| ( gcd1(abs1(-1),mod2(X15,-1)) = gcd1(X15,-1) ) )
| ~ spl16_110 ),
inference(superposition,[],[f1558,f6144]) ).
tff(f20858,plain,
( spl16_294
| spl16_307
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f20573,f6371,f20856,f19086]) ).
tff(f20856,plain,
( spl16_307
<=> ! [X14: $int] : ( gcd1(X14,-1) = gcd1(abs1(1),mod2(X14,-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_307])]) ).
tff(f20573,plain,
( ! [X14: $int] :
( ( gcd1(X14,-1) = gcd1(abs1(1),mod2(X14,-1)) )
| ( 0 = $uminus(abs1(1)) ) )
| ~ spl16_111 ),
inference(superposition,[],[f1558,f6372]) ).
tff(f20530,plain,
( spl16_306
| spl16_294
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f20245,f6371,f19086,f20528]) ).
tff(f20528,plain,
( spl16_306
<=> ! [X14: $int] : ( gcd1(abs1(1),$remainder_e(X14,-1)) = gcd1(X14,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_306])]) ).
tff(f20245,plain,
( ! [X14: $int] :
( ( 0 = $uminus(abs1(1)) )
| ( gcd1(abs1(1),$remainder_e(X14,-1)) = gcd1(X14,-1) ) )
| ~ spl16_111 ),
inference(superposition,[],[f1499,f6372]) ).
tff(f20526,plain,
( spl16_298
| spl16_305
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f20246,f6143,f20524,f19105]) ).
tff(f20524,plain,
( spl16_305
<=> ! [X15: $int] : ( gcd1(abs1(-1),$remainder_e(X15,-1)) = gcd1(X15,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_305])]) ).
tff(f20246,plain,
( ! [X15: $int] :
( ( gcd1(abs1(-1),$remainder_e(X15,-1)) = gcd1(X15,-1) )
| ( 0 = $uminus(abs1(-1)) ) )
| ~ spl16_110 ),
inference(superposition,[],[f1499,f6144]) ).
tff(f20114,plain,
( ~ spl16_304
| ~ spl16_68
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f20110,f3218,f2687,f20112]) ).
tff(f20112,plain,
( spl16_304
<=> divides1(-2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_304])]) ).
tff(f20110,plain,
( ~ divides1(-2,1)
| ~ spl16_68
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f20106,f4161]) ).
tff(f20106,plain,
( ! [X3: $int] :
( ~ divides1(-2,X3)
| ~ divides1(-2,1) )
| ~ spl16_77 ),
inference(evaluation,[],[f20064]) ).
tff(f20064,plain,
( ! [X3: $int] :
( ~ divides1($uminus(2),1)
| ~ divides1($uminus(2),X3) )
| ~ spl16_77 ),
inference(resolution,[],[f19509,f1325]) ).
tff(f19430,plain,
( spl16_303
| ~ spl16_279 ),
inference(avatar_split_clause,[],[f19414,f16927,f19428]) ).
tff(f16927,plain,
( spl16_279
<=> coprime1(mod2(1,2),abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_279])]) ).
tff(f19414,plain,
( coprime1(abs1(2),mod2(1,2))
| ~ spl16_279 ),
inference(resolution,[],[f16928,f2911]) ).
tff(f16928,plain,
( coprime1(mod2(1,2),abs1(2))
| ~ spl16_279 ),
inference(avatar_component_clause,[],[f16927]) ).
tff(f19145,plain,
( spl16_302
| ~ spl16_9
| ~ spl16_300 ),
inference(avatar_split_clause,[],[f19141,f19114,f650,f19143]) ).
tff(f19143,plain,
( spl16_302
<=> divides1(0,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_302])]) ).
tff(f19114,plain,
( spl16_300
<=> ( 0 = sK14(2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_300])]) ).
tff(f19141,plain,
( divides1(0,2)
| ~ spl16_9
| ~ spl16_300 ),
inference(subsumption_resolution,[],[f19128,f651]) ).
tff(f19128,plain,
( ~ even1(2)
| divides1(0,2)
| ~ spl16_300 ),
inference(superposition,[],[f818,f19115]) ).
tff(f19115,plain,
( ( 0 = sK14(2) )
| ~ spl16_300 ),
inference(avatar_component_clause,[],[f19114]) ).
tff(f818,plain,
! [X8: $int] :
( divides1(sK14(X8),X8)
| ~ even1(X8) ),
inference(superposition,[],[f605,f599]) ).
tff(f19140,plain,
( ~ spl16_9
| ~ spl16_300 ),
inference(avatar_contradiction_clause,[],[f19139]) ).
tff(f19139,plain,
( $false
| ~ spl16_9
| ~ spl16_300 ),
inference(subsumption_resolution,[],[f19138,f651]) ).
tff(f19138,plain,
( ~ even1(2)
| ~ spl16_300 ),
inference(evaluation,[],[f19125]) ).
tff(f19125,plain,
( ~ even1(2)
| ( 2 = $product(2,0) )
| ~ spl16_300 ),
inference(superposition,[],[f599,f19115]) ).
tff(f19119,plain,
( spl16_300
| spl16_301
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f19062,f650,f19117,f19114]) ).
tff(f19117,plain,
( spl16_301
<=> ! [X194: $int] :
( ( 0 = X194 )
| ~ even1(X194)
| $less(X194,0)
| ~ $less(X194,sK14(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_301])]) ).
tff(f19062,plain,
( ! [X194: $int] :
( ( 0 = X194 )
| ~ $less(X194,sK14(2))
| ( 0 = sK14(2) )
| $less(X194,0)
| ~ even1(X194) )
| ~ spl16_9 ),
inference(resolution,[],[f1354,f3050]) ).
tff(f3050,plain,
( ! [X27: $int] :
( divides1(sK14(2),X27)
| ~ even1(X27) )
| ~ spl16_9 ),
inference(subsumption_resolution,[],[f3040,f651]) ).
tff(f3040,plain,
! [X27: $int] :
( ~ even1(X27)
| ~ even1(2)
| divides1(sK14(2),X27) ),
inference(resolution,[],[f817,f818]) ).
tff(f817,plain,
! [X6: $int,X7: $int] :
( ~ divides1(X7,2)
| divides1(X7,X6)
| ~ even1(X6) ),
inference(superposition,[],[f470,f599]) ).
tff(f19110,plain,
( spl16_298
| spl16_299 ),
inference(avatar_split_clause,[],[f19015,f19108,f19105]) ).
tff(f19108,plain,
( spl16_299
<=> ! [X114: $int] :
( ( 0 = X114 )
| $less(X114,0)
| ~ $less(X114,$uminus(abs1(-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_299])]) ).
tff(f19015,plain,
! [X114: $int] :
( ( 0 = X114 )
| ( 0 = $uminus(abs1(-1)) )
| ~ $less(X114,$uminus(abs1(-1)))
| $less(X114,0) ),
inference(resolution,[],[f1354,f5724]) ).
tff(f5724,plain,
! [X13: $int] : divides1($uminus(abs1(-1)),X13),
inference(resolution,[],[f5699,f717]) ).
tff(f5699,plain,
! [X18: $int] : divides1(abs1(-1),X18),
inference(evaluation,[],[f5685]) ).
tff(f5685,plain,
! [X18: $int] :
( divides1(abs1(-1),X18)
| ~ $less(-1,0) ),
inference(superposition,[],[f4783,f882]) ).
tff(f4783,plain,
! [X8: $int,X9: $int] : divides1(gcd1(-1,X8),X9),
inference(superposition,[],[f4569,f520]) ).
tff(f4569,plain,
! [X12: $int,X13: $int] : divides1(gcd1(X12,-1),X13),
inference(evaluation,[],[f4553]) ).
tff(f4553,plain,
! [X12: $int,X13: $int] : divides1(gcd1(X12,$uminus(1)),X13),
inference(superposition,[],[f4083,f754]) ).
tff(f4083,plain,
! [X10: $int,X9: $int] : divides1(gcd1(1,X9),X10),
inference(superposition,[],[f2779,f520]) ).
tff(f2779,plain,
! [X0: $int,X1: $int] : divides1(gcd1(X0,1),X1),
inference(superposition,[],[f2641,f1597]) ).
tff(f19102,plain,
( spl16_179
| spl16_297 ),
inference(avatar_split_clause,[],[f19009,f19100,f10055]) ).
tff(f10055,plain,
( spl16_179
<=> ( 0 = abs1(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_179])]) ).
tff(f19100,plain,
( spl16_297
<=> ! [X104: $int] :
( ~ $less(X104,abs1(-1))
| ( 0 = X104 )
| $less(X104,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_297])]) ).
tff(f19009,plain,
! [X104: $int] :
( ~ $less(X104,abs1(-1))
| ( 0 = abs1(-1) )
| $less(X104,0)
| ( 0 = X104 ) ),
inference(resolution,[],[f1354,f5699]) ).
tff(f19095,plain,
( spl16_159
| spl16_296
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f19010,f6371,f19093,f8546]) ).
tff(f19093,plain,
( spl16_296
<=> ! [X105: $int] :
( ( 0 = X105 )
| $less(X105,0)
| ~ $less(X105,abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_296])]) ).
tff(f19010,plain,
( ! [X105: $int] :
( ( 0 = X105 )
| ~ $less(X105,abs1(1))
| ( 0 = abs1(1) )
| $less(X105,0) )
| ~ spl16_111 ),
inference(resolution,[],[f1354,f8456]) ).
tff(f19091,plain,
( spl16_294
| spl16_295
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f19016,f6371,f19089,f19086]) ).
tff(f19089,plain,
( spl16_295
<=> ! [X115: $int] :
( $less(X115,0)
| ( 0 = X115 )
| ~ $less(X115,$uminus(abs1(1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_295])]) ).
tff(f19016,plain,
( ! [X115: $int] :
( $less(X115,0)
| ~ $less(X115,$uminus(abs1(1)))
| ( 0 = X115 )
| ( 0 = $uminus(abs1(1)) ) )
| ~ spl16_111 ),
inference(resolution,[],[f1354,f8490]) ).
tff(f8490,plain,
( ! [X13: $int] : divides1($uminus(abs1(1)),X13)
| ~ spl16_111 ),
inference(resolution,[],[f8456,f717]) ).
tff(f18962,plain,
( spl16_139
| spl16_293 ),
inference(avatar_split_clause,[],[f18958,f18960,f7512]) ).
tff(f18960,plain,
( spl16_293
<=> ! [X66: $int,X69: $int,X68: $int] :
( divides1(X68,gcd1(X69,0))
| ~ divides1(X68,gcd1(X69,X66))
| ~ divides1(0,X66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_293])]) ).
tff(f18958,plain,
! [X68: $int,X69: $int,X66: $int,X67: $int] :
( divides1(X68,gcd1(X69,0))
| ~ divides1(0,X67)
| ~ divides1(0,X66)
| ~ divides1(X68,gcd1(X69,X66)) ),
inference(subsumption_resolution,[],[f18861,f823]) ).
tff(f18861,plain,
! [X68: $int,X69: $int,X66: $int,X67: $int] :
( ~ divides1(X68,gcd1(X69,X66))
| ~ divides1(X68,X67)
| divides1(X68,gcd1(X69,0))
| ~ divides1(0,X66)
| ~ divides1(0,X67) ),
inference(superposition,[],[f1337,f2212]) ).
tff(f1337,plain,
! [X16: $int,X14: $int,X17: $int,X15: $int] :
( divides1(X17,gcd1(X14,gcd1(X15,X16)))
| ~ divides1(X17,gcd1(X14,X15))
| ~ divides1(X17,X16) ),
inference(superposition,[],[f553,f547]) ).
tff(f18196,plain,
( spl16_292
| spl16_291
| spl16_198 ),
inference(avatar_split_clause,[],[f18192,f11213,f18187,f18194]) ).
tff(f18187,plain,
( spl16_291
<=> lt_nat1($uminus(abs1(2)),mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_291])]) ).
tff(f18192,plain,
( ! [X5: $int] :
( lt_nat1($uminus(abs1(2)),mod2(1,2))
| $less(sK13(X5),0)
| ~ odd1(X5) )
| spl16_198 ),
inference(subsumption_resolution,[],[f18174,f14888]) ).
tff(f14888,plain,
( ! [X3: $int] :
( $less(sK13(X3),0)
| ~ odd1(X3)
| ~ $less(mod2(X3,2),0) )
| spl16_198 ),
inference(superposition,[],[f11214,f2282]) ).
tff(f18174,plain,
! [X5: $int] :
( $less(mod2(X5,2),0)
| $less(sK13(X5),0)
| lt_nat1($uminus(abs1(2)),mod2(1,2))
| ~ odd1(X5) ),
inference(evaluation,[],[f18168]) ).
tff(f18168,plain,
! [X5: $int] :
( $less(sK13(X5),0)
| lt_nat1($uminus(abs1(2)),mod2(1,2))
| ~ odd1(X5)
| ( 0 = 2 )
| $less(mod2(X5,2),0) ),
inference(superposition,[],[f988,f2282]) ).
tff(f988,plain,
! [X0: $int,X1: $int] :
( lt_nat1($uminus(abs1(X0)),mod2(X1,X0))
| $less(mod2(X1,X0),0)
| ( 0 = X0 ) ),
inference(resolution,[],[f569,f577]) ).
tff(f18189,plain,
( spl16_193
| spl16_291 ),
inference(avatar_split_clause,[],[f18185,f18187,f11194]) ).
tff(f18185,plain,
! [X6: $int] :
( lt_nat1($uminus(abs1(2)),mod2(1,2))
| $less(X6,0)
| even1(X6) ),
inference(subsumption_resolution,[],[f18180,f11180]) ).
tff(f18180,plain,
! [X6: $int] :
( lt_nat1($uminus(abs1(2)),mod2(1,2))
| $less(X6,0)
| even1(X6)
| $less(mod2(X6,2),0) ),
inference(evaluation,[],[f18169]) ).
tff(f18169,plain,
! [X6: $int] :
( $less(X6,0)
| lt_nat1($uminus(abs1(2)),mod2(1,2))
| $less(mod2(X6,2),0)
| even1(X6)
| ( 0 = 2 ) ),
inference(superposition,[],[f988,f2284]) ).
tff(f17615,plain,
( spl16_290
| ~ spl16_288 ),
inference(avatar_split_clause,[],[f17584,f17333,f17611]) ).
tff(f17611,plain,
( spl16_290
<=> odd1($uminus(gcd1(0,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_290])]) ).
tff(f17333,plain,
( spl16_288
<=> odd1($uminus(gcd1(1,0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_288])]) ).
tff(f17584,plain,
( odd1($uminus(gcd1(0,1)))
| ~ spl16_288 ),
inference(superposition,[],[f17334,f520]) ).
tff(f17334,plain,
( odd1($uminus(gcd1(1,0)))
| ~ spl16_288 ),
inference(avatar_component_clause,[],[f17333]) ).
tff(f17613,plain,
( spl16_290
| ~ spl16_288 ),
inference(avatar_split_clause,[],[f17583,f17333,f17611]) ).
tff(f17583,plain,
( odd1($uminus(gcd1(0,1)))
| ~ spl16_288 ),
inference(superposition,[],[f17334,f520]) ).
tff(f17570,plain,
( ~ spl16_289
| spl16_283 ),
inference(avatar_split_clause,[],[f17539,f17314,f17568]) ).
tff(f17568,plain,
( spl16_289
<=> even1($uminus(gcd1(0,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_289])]) ).
tff(f17314,plain,
( spl16_283
<=> even1($uminus(gcd1(1,0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_283])]) ).
tff(f17539,plain,
( ~ even1($uminus(gcd1(0,1)))
| spl16_283 ),
inference(superposition,[],[f17315,f520]) ).
tff(f17315,plain,
( ~ even1($uminus(gcd1(1,0)))
| spl16_283 ),
inference(avatar_component_clause,[],[f17314]) ).
tff(f17336,plain,
( ~ spl16_283
| spl16_34 ),
inference(avatar_split_clause,[],[f17254,f1351,f17314]) ).
tff(f17254,plain,
! [X6: $int] :
( divides1(2,X6)
| ~ even1($uminus(gcd1(1,0))) ),
inference(resolution,[],[f2776,f834]) ).
tff(f2776,plain,
! [X7: $int] : divides1($uminus(gcd1(1,0)),X7),
inference(resolution,[],[f2641,f717]) ).
tff(f17335,plain,
( spl16_288
| spl16_34 ),
inference(avatar_split_clause,[],[f17255,f1351,f17333]) ).
tff(f17255,plain,
! [X7: $int] :
( divides1(2,X7)
| odd1($uminus(gcd1(1,0))) ),
inference(resolution,[],[f2776,f833]) ).
tff(f17331,plain,
( ~ spl16_283
| ~ spl16_282
| spl16_106 ),
inference(avatar_split_clause,[],[f17253,f6129,f17311,f17314]) ).
tff(f17311,plain,
( spl16_282
<=> prime1($uminus(gcd1(1,0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_282])]) ).
tff(f17253,plain,
! [X5: $int] :
( even1(X5)
| ~ prime1($uminus(gcd1(1,0)))
| ~ even1($uminus(gcd1(1,0))) ),
inference(resolution,[],[f2776,f726]) ).
tff(f17330,plain,
( spl16_286
| spl16_287 ),
inference(avatar_split_clause,[],[f17292,f17328,f17325]) ).
tff(f17328,plain,
( spl16_287
<=> ! [X1: $int] : divides1(gcd1(gcd1(1,0),0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_287])]) ).
tff(f17292,plain,
! [X1: $int] :
( divides1(gcd1(gcd1(1,0),0),X1)
| $less($uminus(gcd1(1,0)),0) ),
inference(superposition,[],[f2776,f786]) ).
tff(f17323,plain,
( ~ spl16_284
| spl16_285 ),
inference(avatar_split_clause,[],[f17256,f17321,f17318]) ).
tff(f17321,plain,
( spl16_285
<=> ! [X8: $int] :
( ~ prime1(X8)
| ~ $less($uminus(gcd1(1,0)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_285])]) ).
tff(f17256,plain,
! [X8: $int] :
( ~ prime1(X8)
| ~ $less($uminus(gcd1(1,0)),X8)
| ~ $less(1,$uminus(gcd1(1,0))) ),
inference(resolution,[],[f2776,f551]) ).
tff(f17316,plain,
( spl16_92
| ~ spl16_282
| ~ spl16_283 ),
inference(avatar_split_clause,[],[f17252,f17314,f17311,f5044]) ).
tff(f17252,plain,
! [X4: $int] :
( ~ even1($uminus(gcd1(1,0)))
| ~ prime1($uminus(gcd1(1,0)))
| ~ odd1(X4) ),
inference(resolution,[],[f2776,f728]) ).
tff(f17197,plain,
( spl16_165
| spl16_280 ),
inference(avatar_split_clause,[],[f17196,f17188,f8622]) ).
tff(f8622,plain,
( spl16_165
<=> ! [X3: $int] :
( ~ odd1(sK14(X3))
| ~ even1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_165])]) ).
tff(f17188,plain,
( spl16_280
<=> ! [X6: $int] :
( ~ even1(X6)
| ~ prime1(X6)
| divides1(X6,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_280])]) ).
tff(f17196,plain,
! [X2: $int,X3: $int] :
( ~ prime1(X2)
| ~ even1(X2)
| ~ even1(X3)
| ~ odd1(sK14(X3))
| divides1(X2,2) ),
inference(subsumption_resolution,[],[f17183,f727]) ).
tff(f17183,plain,
! [X2: $int,X3: $int] :
( ~ even1(X3)
| ~ even1(X2)
| divides1(X2,2)
| ~ divides1(X2,X3)
| ~ odd1(sK14(X3))
| ~ prime1(X2) ),
inference(duplicate_literal_removal,[],[f17148]) ).
tff(f17148,plain,
! [X2: $int,X3: $int] :
( ~ odd1(sK14(X3))
| divides1(X2,2)
| ~ divides1(X2,X3)
| ~ prime1(X2)
| ~ even1(X2)
| ~ even1(X3)
| ~ prime1(X2) ),
inference(resolution,[],[f1778,f728]) ).
tff(f1778,plain,
! [X0: $int,X1: $int] :
( divides1(X1,sK14(X0))
| ~ prime1(X1)
| ~ divides1(X1,X0)
| ~ even1(X0)
| divides1(X1,2) ),
inference(superposition,[],[f561,f599]) ).
tff(f561,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ divides1(X0,$product(X1,X2))
| divides1(X0,X2)
| divides1(X0,X1)
| ~ prime1(X0) ),
inference(cnf_transformation,[],[f427]) ).
tff(f427,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X0,X1)
| ~ divides1(X0,$product(X1,X2))
| divides1(X0,X2)
| ~ prime1(X0) ),
inference(rectify,[],[f357]) ).
tff(f357,plain,
! [X1: $int,X2: $int,X0: $int] :
( divides1(X1,X2)
| ~ divides1(X1,$product(X2,X0))
| divides1(X1,X0)
| ~ prime1(X1) ),
inference(flattening,[],[f356]) ).
tff(f356,plain,
! [X0: $int,X1: $int,X2: $int] :
( divides1(X1,X2)
| divides1(X1,X0)
| ~ divides1(X1,$product(X2,X0))
| ~ prime1(X1) ),
inference(ennf_transformation,[],[f249]) ).
tff(f249,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( divides1(X1,$product(X2,X0))
& prime1(X1) )
=> ( divides1(X1,X2)
| divides1(X1,X0) ) ),
inference(rectify,[],[f109]) ).
tff(f109,axiom,
! [X18: $int,X20: $int,X0: $int] :
( ( prime1(X20)
& divides1(X20,$product(X0,X18)) )
=> ( divides1(X20,X18)
| divides1(X20,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid) ).
tff(f17195,plain,
( spl16_175
| spl16_280 ),
inference(avatar_split_clause,[],[f17194,f17188,f8670]) ).
tff(f8670,plain,
( spl16_175
<=> ! [X5: $int] :
( even1(sK14(X5))
| ~ even1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_175])]) ).
tff(f17194,plain,
! [X4: $int,X5: $int] :
( ~ even1(X4)
| ~ prime1(X4)
| ~ even1(X5)
| even1(sK14(X5))
| divides1(X4,2) ),
inference(subsumption_resolution,[],[f17185,f727]) ).
tff(f17185,plain,
! [X4: $int,X5: $int] :
( even1(sK14(X5))
| ~ divides1(X4,X5)
| divides1(X4,2)
| ~ even1(X5)
| ~ even1(X4)
| ~ prime1(X4) ),
inference(duplicate_literal_removal,[],[f17149]) ).
tff(f17149,plain,
! [X4: $int,X5: $int] :
( ~ divides1(X4,X5)
| ~ even1(X4)
| even1(sK14(X5))
| ~ even1(X5)
| ~ prime1(X4)
| divides1(X4,2)
| ~ prime1(X4) ),
inference(resolution,[],[f1778,f726]) ).
tff(f17193,plain,
( spl16_280
| spl16_281 ),
inference(avatar_split_clause,[],[f17186,f17191,f17188]) ).
tff(f17191,plain,
( spl16_281
<=> ! [X7: $int] :
( divides1(2,sK14(X7))
| ~ even1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_281])]) ).
tff(f17186,plain,
! [X6: $int,X7: $int] :
( divides1(2,sK14(X7))
| ~ even1(X6)
| divides1(X6,2)
| ~ even1(X7)
| ~ prime1(X6) ),
inference(subsumption_resolution,[],[f17150,f727]) ).
tff(f17150,plain,
! [X6: $int,X7: $int] :
( ~ even1(X7)
| ~ even1(X6)
| divides1(X6,2)
| divides1(2,sK14(X7))
| ~ prime1(X6)
| ~ divides1(X6,X7) ),
inference(resolution,[],[f1778,f834]) ).
tff(f17095,plain,
( spl16_262
| ~ spl16_68
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17040,f14780,f2687,f14789]) ).
tff(f14780,plain,
( spl16_260
<=> ! [X105: $int,X106: $int] :
( ~ coprime1(X105,X106)
| $less(X105,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_260])]) ).
tff(f17040,plain,
( ! [X3: $int] : $less(X3,0)
| ~ spl16_68
| ~ spl16_260 ),
inference(resolution,[],[f14781,f2688]) ).
tff(f14781,plain,
( ! [X106: $int,X105: $int] :
( ~ coprime1(X105,X106)
| $less(X105,0) )
| ~ spl16_260 ),
inference(avatar_component_clause,[],[f14780]) ).
tff(f17094,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17093]) ).
tff(f17093,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17049,f568]) ).
tff(f17049,plain,
( $less(abs1(-1),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9820]) ).
tff(f17092,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17047,f14780,f14789]) ).
tff(f17047,plain,
( ! [X10: $int] : $less(X10,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f4663]) ).
tff(f17091,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17090]) ).
tff(f17090,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17059,f579]) ).
tff(f17059,plain,
( ! [X16: $int] : $less(gcd1(X16,-1),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9496]) ).
tff(f17089,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17042,f14780,f14789]) ).
tff(f17042,plain,
( ! [X5: $int] : $less(X5,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14462]) ).
tff(f17088,plain,
( spl16_95
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17041,f14780,f5060]) ).
tff(f5060,plain,
( spl16_95
<=> ! [X1: $int] :
( $less(X1,0)
| ~ odd1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_95])]) ).
tff(f17041,plain,
( ! [X4: $int] :
( $less(X4,0)
| ~ odd1(X4) )
| ~ spl16_260 ),
inference(resolution,[],[f14781,f12583]) ).
tff(f17087,plain,
( spl16_198
| ~ spl16_216
| ~ spl16_260 ),
inference(avatar_contradiction_clause,[],[f17086]) ).
tff(f17086,plain,
( $false
| spl16_198
| ~ spl16_216
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17050,f11214]) ).
tff(f17050,plain,
( $less(mod2(1,2),0)
| ~ spl16_216
| ~ spl16_260 ),
inference(resolution,[],[f14781,f11409]) ).
tff(f11409,plain,
( coprime1(mod2(1,2),2)
| ~ spl16_216 ),
inference(avatar_component_clause,[],[f11408]) ).
tff(f11408,plain,
( spl16_216
<=> coprime1(mod2(1,2),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_216])]) ).
tff(f17085,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17084]) ).
tff(f17084,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17056,f579]) ).
tff(f17056,plain,
( ! [X13: $int] : $less(gcd1(X13,1),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9499]) ).
tff(f9499,plain,
! [X75: $int] : coprime1(gcd1(X75,1),0),
inference(subsumption_resolution,[],[f9443,f3078]) ).
tff(f3078,plain,
! [X26: $int,X25: $int] : ( 1 = gcd1(X25,gcd1(X26,1)) ),
inference(superposition,[],[f547,f2670]) ).
tff(f9443,plain,
! [X74: $int,X75: $int] :
( ( 1 != gcd1(X75,gcd1(X74,1)) )
| coprime1(gcd1(X75,1),0) ),
inference(superposition,[],[f1251,f1597]) ).
tff(f17083,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17082]) ).
tff(f17082,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17058,f579]) ).
tff(f17058,plain,
( ! [X15: $int] : $less(gcd1(X15,1),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9507]) ).
tff(f17081,plain,
( spl16_92
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17068,f14780,f5044]) ).
tff(f17068,plain,
( ! [X12: $int] : ~ odd1(X12)
| ~ spl16_260 ),
inference(evaluation,[],[f17054]) ).
tff(f17054,plain,
( ! [X12: $int] :
( $less(2,0)
| ~ odd1(X12) )
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14453]) ).
tff(f14453,plain,
! [X3: $int] :
( coprime1(2,X3)
| ~ odd1(X3) ),
inference(resolution,[],[f2911,f12583]) ).
tff(f17080,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17045,f14780,f14789]) ).
tff(f17045,plain,
( ! [X8: $int] : $less(X8,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14465]) ).
tff(f17079,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17078]) ).
tff(f17078,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17060,f579]) ).
tff(f17060,plain,
( ! [X17: $int] : $less(gcd1(-1,X17),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9494]) ).
tff(f17077,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17043,f14780,f14789]) ).
tff(f17043,plain,
( ! [X6: $int] : $less(X6,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14463]) ).
tff(f17076,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17039,f14780,f14789]) ).
tff(f17039,plain,
( ! [X2: $int] : $less(X2,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14456]) ).
tff(f17075,plain,
( spl16_262
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f17044,f14780,f14789]) ).
tff(f17044,plain,
( ! [X7: $int] : $less(X7,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14464]) ).
tff(f17074,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17073]) ).
tff(f17073,plain,
( $false
| ~ spl16_260 ),
inference(subsumption_resolution,[],[f17057,f579]) ).
tff(f17057,plain,
( ! [X14: $int] : $less(gcd1(1,X14),0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f9493]) ).
tff(f17072,plain,
( ~ spl16_67
| ~ spl16_260 ),
inference(avatar_contradiction_clause,[],[f17071]) ).
tff(f17071,plain,
( $false
| ~ spl16_67
| ~ spl16_260 ),
inference(evaluation,[],[f17051]) ).
tff(f17051,plain,
( $less(1,0)
| ~ spl16_67
| ~ spl16_260 ),
inference(resolution,[],[f14781,f2682]) ).
tff(f2682,plain,
( coprime1(1,0)
| ~ spl16_67 ),
inference(avatar_component_clause,[],[f2681]) ).
tff(f2681,plain,
( spl16_67
<=> coprime1(1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_67])]) ).
tff(f17070,plain,
( ~ spl16_253
| ~ spl16_260 ),
inference(avatar_contradiction_clause,[],[f17069]) ).
tff(f17069,plain,
( $false
| ~ spl16_253
| ~ spl16_260 ),
inference(evaluation,[],[f17055]) ).
tff(f17055,plain,
( $less(2,0)
| ~ spl16_253
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14470]) ).
tff(f14470,plain,
( coprime1(2,mod2(1,2))
| ~ spl16_253 ),
inference(avatar_component_clause,[],[f14469]) ).
tff(f14469,plain,
( spl16_253
<=> coprime1(2,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_253])]) ).
tff(f17067,plain,
( ~ spl16_73
| ~ spl16_260 ),
inference(avatar_contradiction_clause,[],[f17066]) ).
tff(f17066,plain,
( $false
| ~ spl16_73
| ~ spl16_260 ),
inference(evaluation,[],[f17052]) ).
tff(f17052,plain,
( $less(1,0)
| ~ spl16_73
| ~ spl16_260 ),
inference(resolution,[],[f14781,f2917]) ).
tff(f17065,plain,
~ spl16_260,
inference(avatar_contradiction_clause,[],[f17064]) ).
tff(f17064,plain,
( $false
| ~ spl16_260 ),
inference(evaluation,[],[f17048]) ).
tff(f17048,plain,
( $less(0,0)
| ~ spl16_260 ),
inference(resolution,[],[f14781,f14461]) ).
tff(f14461,plain,
! [X9: $int] : coprime1(0,gcd1(X9,1)),
inference(resolution,[],[f2911,f9499]) ).
tff(f16929,plain,
( ~ spl16_234
| spl16_217
| spl16_279
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f16914,f11197,f16927,f11411,f11940]) ).
tff(f11197,plain,
( spl16_194
<=> $less(mod2(1,2),abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_194])]) ).
tff(f16914,plain,
( coprime1(mod2(1,2),abs1(2))
| $less(mod2(1,2),1)
| ~ prime1(abs1(2))
| ~ spl16_194 ),
inference(resolution,[],[f11198,f501]) ).
tff(f11198,plain,
( $less(mod2(1,2),abs1(2))
| ~ spl16_194 ),
inference(avatar_component_clause,[],[f11197]) ).
tff(f15854,plain,
( ~ spl16_277
| spl16_278
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f15827,f650,f15852,f15849]) ).
tff(f15849,plain,
( spl16_277
<=> prime1(sK14(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_277])]) ).
tff(f15852,plain,
( spl16_278
<=> ! [X9: $int,X10: $int] :
( divides1(sK14(2),X9)
| ~ even1($product(X9,X10))
| divides1(sK14(2),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_278])]) ).
tff(f15827,plain,
( ! [X10: $int,X9: $int] :
( divides1(sK14(2),X9)
| divides1(sK14(2),X10)
| ~ even1($product(X9,X10))
| ~ prime1(sK14(2)) )
| ~ spl16_9 ),
inference(resolution,[],[f3050,f561]) ).
tff(f15847,plain,
( spl16_275
| ~ spl16_276
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f15824,f650,f15845,f15842]) ).
tff(f15842,plain,
( spl16_275
<=> ! [X4: $int] :
( ~ $less(sK14(2),X4)
| ~ even1(X4)
| ~ prime1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_275])]) ).
tff(f15845,plain,
( spl16_276
<=> $less(1,sK14(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_276])]) ).
tff(f15824,plain,
( ! [X4: $int] :
( ~ $less(1,sK14(2))
| ~ $less(sK14(2),X4)
| ~ prime1(X4)
| ~ even1(X4) )
| ~ spl16_9 ),
inference(resolution,[],[f3050,f551]) ).
tff(f15813,plain,
( ~ spl16_274
| ~ spl16_264 ),
inference(avatar_split_clause,[],[f15793,f14833,f15811]) ).
tff(f15811,plain,
( spl16_274
<=> divides1(0,abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_274])]) ).
tff(f14833,plain,
( spl16_264
<=> ! [X4: $int] : ~ divides1(0,gcd1(X4,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_264])]) ).
tff(f15793,plain,
( ~ divides1(0,abs1(-1))
| ~ spl16_264 ),
inference(evaluation,[],[f15768]) ).
tff(f15768,plain,
( ~ divides1(0,abs1(-1))
| ~ $less(-1,0)
| ~ spl16_264 ),
inference(superposition,[],[f15456,f882]) ).
tff(f15456,plain,
( ! [X30: $int] : ~ divides1(0,gcd1(-1,X30))
| ~ spl16_264 ),
inference(subsumption_resolution,[],[f15446,f4297]) ).
tff(f4297,plain,
! [X19: $int] : coprime1(-1,X19),
inference(evaluation,[],[f4296]) ).
tff(f4296,plain,
! [X19: $int] : coprime1($uminus(1),X19),
inference(trivial_inequality_removal,[],[f4264]) ).
tff(f4264,plain,
! [X19: $int] :
( coprime1($uminus(1),X19)
| ( 1 != 1 ) ),
inference(superposition,[],[f764,f3063]) ).
tff(f15446,plain,
( ! [X29: $int,X30: $int] :
( ~ divides1(0,gcd1(-1,X30))
| ~ coprime1(-1,X29) )
| ~ spl16_264 ),
inference(superposition,[],[f15338,f1467]) ).
tff(f1467,plain,
! [X8: $int,X6: $int,X7: $int] :
( ( gcd1($product(X7,X8),X6) = gcd1(X6,X8) )
| ~ coprime1(X6,X7) ),
inference(superposition,[],[f520,f460]) ).
tff(f15338,plain,
( ! [X10: $int] : ~ divides1(0,gcd1(X10,-1))
| ~ spl16_264 ),
inference(evaluation,[],[f15292]) ).
tff(f15292,plain,
( ! [X10: $int] : ~ divides1(0,gcd1(X10,$uminus(1)))
| ~ spl16_264 ),
inference(superposition,[],[f15049,f754]) ).
tff(f15049,plain,
( ! [X7: $int] : ~ divides1(0,gcd1(1,X7))
| ~ spl16_264 ),
inference(superposition,[],[f14834,f520]) ).
tff(f14834,plain,
( ! [X4: $int] : ~ divides1(0,gcd1(X4,1))
| ~ spl16_264 ),
inference(avatar_component_clause,[],[f14833]) ).
tff(f15455,plain,
( ~ spl16_273
| ~ spl16_264 ),
inference(avatar_split_clause,[],[f15451,f14833,f15453]) ).
tff(f15453,plain,
( spl16_273
<=> divides1(0,gcd1(-1,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_273])]) ).
tff(f15451,plain,
( ~ divides1(0,gcd1(-1,0))
| ~ spl16_264 ),
inference(subsumption_resolution,[],[f15450,f2761]) ).
tff(f15450,plain,
( ! [X14: $int] :
( ~ divides1(0,gcd1(-1,0))
| ~ divides1(-1,X14) )
| ~ spl16_264 ),
inference(evaluation,[],[f15435]) ).
tff(f15435,plain,
( ! [X14: $int] :
( ( 0 = -1 )
| ~ divides1(-1,X14)
| ~ divides1(0,gcd1(-1,0)) )
| ~ spl16_264 ),
inference(superposition,[],[f15338,f1528]) ).
tff(f15376,plain,
( spl16_271
| spl16_272
| ~ spl16_269 ),
inference(avatar_split_clause,[],[f15357,f15204,f15374,f15371]) ).
tff(f15371,plain,
( spl16_271
<=> $less($uminus(mod2(1,2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_271])]) ).
tff(f15374,plain,
( spl16_272
<=> odd1(gcd1(mod2(1,2),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_272])]) ).
tff(f15204,plain,
( spl16_269
<=> odd1($uminus(mod2(1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_269])]) ).
tff(f15357,plain,
( odd1(gcd1(mod2(1,2),0))
| $less($uminus(mod2(1,2)),0)
| ~ spl16_269 ),
inference(superposition,[],[f15205,f786]) ).
tff(f15205,plain,
( odd1($uminus(mod2(1,2)))
| ~ spl16_269 ),
inference(avatar_component_clause,[],[f15204]) ).
tff(f15368,plain,
( ~ spl16_270
| ~ spl16_269 ),
inference(avatar_split_clause,[],[f15349,f15204,f15366]) ).
tff(f15366,plain,
( spl16_270
<=> even1($uminus(mod2(1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_270])]) ).
tff(f15349,plain,
( ~ even1($uminus(mod2(1,2)))
| ~ spl16_269 ),
inference(resolution,[],[f15205,f459]) ).
tff(f15206,plain,
( spl16_269
| spl16_266 ),
inference(avatar_split_clause,[],[f15190,f14852,f15204]) ).
tff(f14852,plain,
( spl16_266
<=> divides1(2,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_266])]) ).
tff(f15190,plain,
( odd1($uminus(mod2(1,2)))
| spl16_266 ),
inference(resolution,[],[f14853,f719]) ).
tff(f14853,plain,
( ~ divides1(2,mod2(1,2))
| spl16_266 ),
inference(avatar_component_clause,[],[f14852]) ).
tff(f15078,plain,
( ~ spl16_268
| ~ spl16_264 ),
inference(avatar_split_clause,[],[f15074,f14833,f15076]) ).
tff(f15076,plain,
( spl16_268
<=> divides1(0,gcd1(1,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_268])]) ).
tff(f15074,plain,
( ~ divides1(0,gcd1(1,0))
| ~ spl16_264 ),
inference(subsumption_resolution,[],[f15072,f571]) ).
tff(f15072,plain,
( ! [X16: $int] :
( ~ divides1(1,X16)
| ~ divides1(0,gcd1(1,0)) )
| ~ spl16_264 ),
inference(evaluation,[],[f15055]) ).
tff(f15055,plain,
( ! [X16: $int] :
( ~ divides1(1,X16)
| ~ divides1(0,gcd1(1,0))
| ( 0 = 1 ) )
| ~ spl16_264 ),
inference(superposition,[],[f14834,f1528]) ).
tff(f14964,plain,
( spl16_267
| ~ spl16_199 ),
inference(avatar_split_clause,[],[f14955,f11217,f14962]) ).
tff(f14962,plain,
( spl16_267
<=> ! [X3: $int] :
( $less(0,X3)
| $less(sK13(X3),0)
| ~ odd1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_267])]) ).
tff(f11217,plain,
( spl16_199
<=> $less(0,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_199])]) ).
tff(f14955,plain,
! [X3: $int] :
( ~ $less(0,mod2(1,2))
| $less(0,X3)
| ~ odd1(X3)
| $less(sK13(X3),0) ),
inference(evaluation,[],[f14866]) ).
tff(f14866,plain,
! [X3: $int] :
( ( 0 = 2 )
| ~ odd1(X3)
| ~ $less(0,mod2(1,2))
| $less(0,X3)
| $less(sK13(X3),0) ),
inference(superposition,[],[f455,f2282]) ).
tff(f14854,plain,
( ~ spl16_266
| spl16_34
| ~ spl16_253 ),
inference(avatar_split_clause,[],[f14842,f14469,f1351,f14852]) ).
tff(f14842,plain,
( ! [X1: $int] :
( divides1(2,X1)
| ~ divides1(2,mod2(1,2)) )
| ~ spl16_253 ),
inference(resolution,[],[f14470,f1202]) ).
tff(f14838,plain,
( spl16_264
| spl16_265 ),
inference(avatar_split_clause,[],[f14797,f14836,f14833]) ).
tff(f14836,plain,
( spl16_265
<=> ! [X3: $int] : divides1(0,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_265])]) ).
tff(f14797,plain,
! [X3: $int,X4: $int] :
( divides1(0,X3)
| ~ divides1(0,gcd1(X4,1)) ),
inference(resolution,[],[f14461,f1202]) ).
tff(f14794,plain,
( spl16_262
| ~ spl16_263 ),
inference(avatar_split_clause,[],[f14758,f14792,f14789]) ).
tff(f14792,plain,
( spl16_263
<=> $less($product(2,gcd1(1,0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_263])]) ).
tff(f14758,plain,
! [X91: $int] :
( ~ $less($product(2,gcd1(1,0)),0)
| $less(X91,0) ),
inference(evaluation,[],[f14742]) ).
tff(f14742,plain,
! [X91: $int] :
( ~ $less($product(2,gcd1(1,0)),0)
| $less(X91,0)
| $less(1,0) ),
inference(superposition,[],[f2148,f1597]) ).
tff(f14785,plain,
( spl16_260
| spl16_261 ),
inference(avatar_split_clause,[],[f14778,f14783,f14780]) ).
tff(f14783,plain,
( spl16_261
<=> ! [X107: $int] : ~ $less($product(2,gcd1(1,X107)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_261])]) ).
tff(f14778,plain,
! [X106: $int,X107: $int,X105: $int] :
( ~ $less($product(2,gcd1(1,X107)),0)
| ~ coprime1(X105,X106)
| $less(X105,0) ),
inference(subsumption_resolution,[],[f14749,f579]) ).
tff(f14749,plain,
! [X106: $int,X107: $int,X105: $int] :
( $less(X105,0)
| ~ coprime1(X105,X106)
| ~ $less($product(2,gcd1(1,X107)),0)
| $less(gcd1(X106,X107),0) ),
inference(superposition,[],[f2148,f1238]) ).
tff(f14689,plain,
( spl16_258
| ~ spl16_259
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f14682,f6143,f14687,f14684]) ).
tff(f14684,plain,
( spl16_258
<=> ! [X15: $int] :
( ~ divides1(X15,abs1(-1))
| ( abs1(-1) = X15 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_258])]) ).
tff(f14687,plain,
( spl16_259
<=> ( abs1(-1) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_259])]) ).
tff(f14682,plain,
( ! [X15: $int] :
( ( abs1(-1) != -1 )
| ~ divides1(X15,abs1(-1))
| ( abs1(-1) = X15 ) )
| ~ spl16_110 ),
inference(subsumption_resolution,[],[f14674,f5699]) ).
tff(f14674,plain,
( ! [X15: $int] :
( ~ divides1(abs1(-1),X15)
| ( abs1(-1) = X15 )
| ( abs1(-1) != -1 )
| ~ divides1(X15,abs1(-1)) )
| ~ spl16_110 ),
inference(superposition,[],[f1720,f6144]) ).
tff(f1720,plain,
! [X0: $int,X1: $int] :
( ( $uminus(X1) != X1 )
| ~ divides1(X0,X1)
| ~ divides1(X1,X0)
| ( X0 = X1 ) ),
inference(equality_factoring,[],[f510]) ).
tff(f14681,plain,
( ~ spl16_125
| spl16_257
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f14676,f6371,f14679,f6671]) ).
tff(f6671,plain,
( spl16_125
<=> ( abs1(1) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_125])]) ).
tff(f14679,plain,
( spl16_257
<=> ! [X14: $int] :
( ~ divides1(X14,abs1(1))
| ( abs1(1) = X14 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_257])]) ).
tff(f14676,plain,
( ! [X14: $int] :
( ~ divides1(X14,abs1(1))
| ( abs1(1) = X14 )
| ( abs1(1) != -1 ) )
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f14673,f8456]) ).
tff(f14673,plain,
( ! [X14: $int] :
( ( abs1(1) != -1 )
| ~ divides1(abs1(1),X14)
| ( abs1(1) = X14 )
| ~ divides1(X14,abs1(1)) )
| ~ spl16_111 ),
inference(superposition,[],[f1720,f6372]) ).
tff(f14645,plain,
( spl16_256
| ~ spl16_255 ),
inference(avatar_split_clause,[],[f14641,f14625,f14643]) ).
tff(f14643,plain,
( spl16_256
<=> lt_nat1(abs1(-1),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_256])]) ).
tff(f14625,plain,
( spl16_255
<=> $less(abs1(-1),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_255])]) ).
tff(f14641,plain,
( lt_nat1(abs1(-1),2)
| ~ spl16_255 ),
inference(evaluation,[],[f14635]) ).
tff(f14635,plain,
( lt_nat1(abs1(-1),2)
| $less(2,0)
| ~ spl16_255 ),
inference(resolution,[],[f14626,f577]) ).
tff(f14626,plain,
( $less(abs1(-1),2)
| ~ spl16_255 ),
inference(avatar_component_clause,[],[f14625]) ).
tff(f14627,plain,
( spl16_255
| spl16_118 ),
inference(avatar_split_clause,[],[f14623,f6424,f14625]) ).
tff(f6424,plain,
( spl16_118
<=> prime1(abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_118])]) ).
tff(f14623,plain,
( $less(abs1(-1),2)
| spl16_118 ),
inference(subsumption_resolution,[],[f14620,f6425]) ).
tff(f6425,plain,
( ~ prime1(abs1(-1))
| spl16_118 ),
inference(avatar_component_clause,[],[f6424]) ).
tff(f14620,plain,
( $less(abs1(-1),2)
| prime1(abs1(-1)) ),
inference(resolution,[],[f14456,f499]) ).
tff(f499,plain,
! [X0: $int] :
( ~ coprime1(sK1(X0),X0)
| prime1(X0)
| $less(X0,2) ),
inference(cnf_transformation,[],[f393]) ).
tff(f14609,plain,
( spl16_193
| spl16_254 ),
inference(avatar_split_clause,[],[f14605,f14607,f11194]) ).
tff(f14607,plain,
( spl16_254
<=> ( 1 = gcd1(2,mod2(1,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_254])]) ).
tff(f14605,plain,
! [X5: $int] :
( ( 1 = gcd1(2,mod2(1,2)) )
| even1(X5)
| $less(X5,0) ),
inference(subsumption_resolution,[],[f14603,f12582]) ).
tff(f12582,plain,
! [X2: $int] :
( even1(X2)
| $less(X2,0)
| coprime1(X2,2) ),
inference(subsumption_resolution,[],[f12579,f2670]) ).
tff(f12579,plain,
! [X2: $int] :
( $less(X2,0)
| coprime1(X2,2)
| even1(X2)
| ( 1 != gcd1(2,1) ) ),
inference(evaluation,[],[f12542]) ).
tff(f12542,plain,
! [X2: $int] :
( ( 0 = 2 )
| $less(X2,0)
| coprime1(X2,2)
| even1(X2)
| ( 1 != gcd1(2,1) ) ),
inference(superposition,[],[f1506,f1842]) ).
tff(f1842,plain,
! [X2: $int] :
( ( 1 = $remainder_e(X2,2) )
| $less(X2,0)
| even1(X2) ),
inference(evaluation,[],[f1835]) ).
tff(f1835,plain,
! [X2: $int] :
( $less(X2,0)
| ( $remainder_e(1,2) = $remainder_e(X2,2) )
| ~ $less(0,2)
| even1(X2) ),
inference(superposition,[],[f483,f587]) ).
tff(f14603,plain,
! [X5: $int] :
( $less(X5,0)
| even1(X5)
| ~ coprime1(X5,2)
| ( 1 = gcd1(2,mod2(1,2)) ) ),
inference(evaluation,[],[f14475]) ).
tff(f14475,plain,
! [X5: $int] :
( $less(X5,0)
| ( 1 = gcd1(2,mod2(1,2)) )
| even1(X5)
| ~ coprime1(X5,2)
| ( 0 = 2 ) ),
inference(superposition,[],[f1586,f2284]) ).
tff(f1586,plain,
! [X16: $int,X17: $int] :
( ( 1 = gcd1(X17,mod2(X16,X17)) )
| ~ coprime1(X16,X17)
| ( 0 = X17 ) ),
inference(superposition,[],[f559,f545]) ).
tff(f14471,plain,
( spl16_253
| ~ spl16_216 ),
inference(avatar_split_clause,[],[f14457,f11408,f14469]) ).
tff(f14457,plain,
( coprime1(2,mod2(1,2))
| ~ spl16_216 ),
inference(resolution,[],[f2911,f11409]) ).
tff(f14172,plain,
( spl16_251
| spl16_252 ),
inference(avatar_split_clause,[],[f14156,f14170,f14167]) ).
tff(f14167,plain,
( spl16_251
<=> divides1(-2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_251])]) ).
tff(f14170,plain,
( spl16_252
<=> ! [X7: $int] : ~ coprime1(-2,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_252])]) ).
tff(f14156,plain,
! [X7: $int] :
( ~ coprime1(-2,X7)
| divides1(-2,2) ),
inference(resolution,[],[f13825,f546]) ).
tff(f13825,plain,
! [X2: $int] : divides1(-2,$product(X2,2)),
inference(resolution,[],[f2759,f851]) ).
tff(f851,plain,
! [X0: $int] : even1($uminus($product(X0,2))),
inference(resolution,[],[f793,f490]) ).
tff(f490,plain,
! [X0: $int] :
( odd1(X0)
| even1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tff(f204,plain,
! [X0: $int] :
( odd1(X0)
| even1(X0) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X14: $int] :
( odd1(X14)
| even1(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_or_odd) ).
tff(f793,plain,
! [X3: $int] : ~ odd1($uminus($product(X3,2))),
inference(resolution,[],[f685,f605]) ).
tff(f13822,plain,
spl16_250,
inference(avatar_split_clause,[],[f13808,f13819]) ).
tff(f13819,plain,
( spl16_250
<=> ! [X9: $int,X8: $int] :
( ~ even1(X8)
| ( 1 = gcd1(sK14(X8),X9) )
| ~ coprime1(sK14(X8),$sum(X9,$uminus(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_250])]) ).
tff(f13808,plain,
! [X0: $int,X1: $int] :
( ~ even1(X0)
| ( 1 = gcd1(sK14(X0),X1) )
| ~ coprime1(sK14(X0),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f1541,f599]) ).
tff(f1541,plain,
! [X24: $int,X25: $int,X23: $int] :
( ~ coprime1(X23,$sum(X24,$uminus($product(X25,X23))))
| ( 1 = gcd1(X23,X24) ) ),
inference(superposition,[],[f559,f540]) ).
tff(f13821,plain,
( spl16_250
| spl16_93 ),
inference(avatar_split_clause,[],[f13811,f5049,f13819]) ).
tff(f5049,plain,
( spl16_93
<=> ! [X5: $int] :
( ~ even1(X5)
| ~ prime1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_93])]) ).
tff(f13811,plain,
! [X8: $int,X9: $int,X7: $int] :
( ~ even1(X7)
| ~ even1(X8)
| ~ coprime1(sK14(X8),$sum(X9,$uminus(X8)))
| ~ prime1(X7)
| ( 1 = gcd1(sK14(X8),X9) ) ),
inference(superposition,[],[f1541,f811]) ).
tff(f811,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,sK14(X1)) = X1 )
| ~ even1(X1)
| ~ even1(X0)
| ~ prime1(X0) ),
inference(superposition,[],[f599,f583]) ).
tff(f13582,plain,
( spl16_139
| spl16_249 ),
inference(avatar_split_clause,[],[f13581,f13578,f7512]) ).
tff(f13578,plain,
( spl16_249
<=> ! [X145: $int] :
( ( 0 = X145 )
| ( 0 = gcd1(X145,0) )
| ~ divides1(0,X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_249])]) ).
tff(f13581,plain,
! [X31: $int,X30: $int] :
( ( 0 = X31 )
| ~ divides1(0,X31)
| ~ divides1(0,X30)
| ( 0 = gcd1(X31,0) ) ),
inference(subsumption_resolution,[],[f13233,f823]) ).
tff(f13233,plain,
! [X31: $int,X30: $int] :
( ( 0 = X31 )
| ( 0 = gcd1(X31,0) )
| ~ divides1(0,X31)
| ~ divides1(0,X30)
| ~ divides1(X31,X30) ),
inference(superposition,[],[f1528,f2212]) ).
tff(f13580,plain,
( spl16_249
| spl16_139 ),
inference(avatar_split_clause,[],[f13576,f7512,f13578]) ).
tff(f13576,plain,
! [X145: $int,X144: $int] :
( ~ divides1(0,X144)
| ( 0 = X145 )
| ~ divides1(0,X145)
| ( 0 = gcd1(X145,0) ) ),
inference(subsumption_resolution,[],[f13360,f823]) ).
tff(f13360,plain,
! [X145: $int,X144: $int] :
( ( 0 = X145 )
| ~ divides1(X145,X144)
| ~ divides1(0,X144)
| ( 0 = gcd1(X145,0) )
| ~ divides1(0,X145) ),
inference(superposition,[],[f2212,f1528]) ).
tff(f13106,plain,
( spl16_248
| ~ spl16_190 ),
inference(avatar_split_clause,[],[f13102,f10328,f13104]) ).
tff(f13104,plain,
( spl16_248
<=> lt_nat1($uminus(abs1(-1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_248])]) ).
tff(f10328,plain,
( spl16_190
<=> $less($uminus(abs1(-1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_190])]) ).
tff(f13102,plain,
( lt_nat1($uminus(abs1(-1)),1)
| ~ spl16_190 ),
inference(evaluation,[],[f13091]) ).
tff(f13091,plain,
( $less(1,0)
| lt_nat1($uminus(abs1(-1)),1)
| ~ spl16_190 ),
inference(resolution,[],[f10329,f577]) ).
tff(f10329,plain,
( $less($uminus(abs1(-1)),1)
| ~ spl16_190 ),
inference(avatar_component_clause,[],[f10328]) ).
tff(f12537,plain,
( spl16_247
| spl16_179 ),
inference(avatar_split_clause,[],[f12514,f10055,f12535]) ).
tff(f12535,plain,
( spl16_247
<=> ! [X0: $int] : ( 1 = gcd1(X0,abs1(-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_247])]) ).
tff(f12514,plain,
! [X0: $int] :
( ( 0 = abs1(-1) )
| ( 1 = gcd1(X0,abs1(-1)) ) ),
inference(resolution,[],[f1498,f9820]) ).
tff(f1498,plain,
! [X4: $int,X5: $int] :
( ~ coprime1(X4,$remainder_e(X5,X4))
| ( 1 = gcd1(X5,X4) )
| ( 0 = X4 ) ),
inference(superposition,[],[f509,f559]) ).
tff(f12451,plain,
( ~ spl16_234
| spl16_246
| ~ spl16_243 ),
inference(avatar_split_clause,[],[f12439,f12241,f12449,f11940]) ).
tff(f12449,plain,
( spl16_246
<=> ! [X0: $int] :
( ( 1 = X0 )
| ~ divides1(X0,abs1(2))
| ( abs1(2) = X0 )
| lt_nat1(X0,0)
| ( -1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_246])]) ).
tff(f12241,plain,
( spl16_243
<=> lt_nat1($uminus(abs1(2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_243])]) ).
tff(f12439,plain,
( ! [X0: $int] :
( ( 1 = X0 )
| ( -1 = X0 )
| lt_nat1(X0,0)
| ( abs1(2) = X0 )
| ~ prime1(abs1(2))
| ~ divides1(X0,abs1(2)) )
| ~ spl16_243 ),
inference(superposition,[],[f12242,f608]) ).
tff(f12242,plain,
( lt_nat1($uminus(abs1(2)),0)
| ~ spl16_243 ),
inference(avatar_component_clause,[],[f12241]) ).
tff(f12447,plain,
( spl16_245
| ~ spl16_243 ),
inference(avatar_split_clause,[],[f12443,f12241,f12445]) ).
tff(f12445,plain,
( spl16_245
<=> lt_nat1(-2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_245])]) ).
tff(f12443,plain,
( lt_nat1(-2,0)
| ~ spl16_243 ),
inference(evaluation,[],[f12436]) ).
tff(f12436,plain,
( lt_nat1($uminus(2),0)
| $less(2,0)
| ~ spl16_243 ),
inference(superposition,[],[f12242,f585]) ).
tff(f12432,plain,
( ~ spl16_234
| spl16_244
| ~ spl16_237 ),
inference(avatar_split_clause,[],[f12424,f12066,f12430,f11940]) ).
tff(f12430,plain,
( spl16_244
<=> ! [X0: $int] :
( ( 1 = X0 )
| lt_nat1(X0,1)
| ( -1 = X0 )
| ~ divides1(X0,abs1(2))
| ( abs1(2) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_244])]) ).
tff(f12066,plain,
( spl16_237
<=> lt_nat1($uminus(abs1(2)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_237])]) ).
tff(f12424,plain,
( ! [X0: $int] :
( ( 1 = X0 )
| ~ prime1(abs1(2))
| ( abs1(2) = X0 )
| ~ divides1(X0,abs1(2))
| ( -1 = X0 )
| lt_nat1(X0,1) )
| ~ spl16_237 ),
inference(superposition,[],[f12067,f608]) ).
tff(f12067,plain,
( lt_nat1($uminus(abs1(2)),1)
| ~ spl16_237 ),
inference(avatar_component_clause,[],[f12066]) ).
tff(f12243,plain,
( spl16_243
| ~ spl16_235 ),
inference(avatar_split_clause,[],[f12234,f12059,f12241]) ).
tff(f12059,plain,
( spl16_235
<=> $less($uminus(abs1(2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_235])]) ).
tff(f12234,plain,
( lt_nat1($uminus(abs1(2)),0)
| ~ spl16_235 ),
inference(evaluation,[],[f12225]) ).
tff(f12225,plain,
( lt_nat1($uminus(abs1(2)),0)
| $less(0,0)
| ~ spl16_235 ),
inference(resolution,[],[f12060,f577]) ).
tff(f12060,plain,
( $less($uminus(abs1(2)),0)
| ~ spl16_235 ),
inference(avatar_component_clause,[],[f12059]) ).
tff(f12239,plain,
( ~ spl16_234
| spl16_242
| ~ spl16_235 ),
inference(avatar_split_clause,[],[f12230,f12059,f12237,f11940]) ).
tff(f12237,plain,
( spl16_242
<=> ! [X0: $int] :
( ( 1 = X0 )
| ( abs1(2) = X0 )
| ( -1 = X0 )
| $less(X0,0)
| ~ divides1(X0,abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_242])]) ).
tff(f12230,plain,
( ! [X0: $int] :
( ( 1 = X0 )
| ~ divides1(X0,abs1(2))
| $less(X0,0)
| ~ prime1(abs1(2))
| ( -1 = X0 )
| ( abs1(2) = X0 ) )
| ~ spl16_235 ),
inference(superposition,[],[f12060,f608]) ).
tff(f12088,plain,
( ~ spl16_4
| spl16_234 ),
inference(avatar_contradiction_clause,[],[f12087]) ).
tff(f12087,plain,
( $false
| ~ spl16_4
| spl16_234 ),
inference(subsumption_resolution,[],[f12086,f624]) ).
tff(f12086,plain,
( ~ prime1(2)
| spl16_234 ),
inference(evaluation,[],[f12085]) ).
tff(f12085,plain,
( ~ prime1(2)
| $less(2,0)
| spl16_234 ),
inference(superposition,[],[f11941,f585]) ).
tff(f11941,plain,
( ~ prime1(abs1(2))
| spl16_234 ),
inference(avatar_component_clause,[],[f11940]) ).
tff(f12083,plain,
( ~ spl16_234
| spl16_241
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f12052,f11910,f12081,f11940]) ).
tff(f12081,plain,
( spl16_241
<=> ! [X0: $int] :
( ( 1 = X0 )
| ( -1 = X0 )
| ( abs1(2) = X0 )
| $less(X0,1)
| ~ divides1(X0,abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_241])]) ).
tff(f11910,plain,
( spl16_231
<=> $less($uminus(abs1(2)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_231])]) ).
tff(f12052,plain,
( ! [X0: $int] :
( ( 1 = X0 )
| ~ divides1(X0,abs1(2))
| $less(X0,1)
| ( abs1(2) = X0 )
| ( -1 = X0 )
| ~ prime1(abs1(2)) )
| ~ spl16_231 ),
inference(superposition,[],[f11911,f608]) ).
tff(f11911,plain,
( $less($uminus(abs1(2)),1)
| ~ spl16_231 ),
inference(avatar_component_clause,[],[f11910]) ).
tff(f12079,plain,
( ~ spl16_239
| spl16_240
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f12056,f11910,f12077,f12074]) ).
tff(f12077,plain,
( spl16_240
<=> ( -1 = $uminus(abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_240])]) ).
tff(f12056,plain,
( ( -1 = $uminus(abs1(2)) )
| ~ divides1(abs1(2),1)
| ~ spl16_231 ),
inference(evaluation,[],[f12050]) ).
tff(f12050,plain,
( ( -1 = $uminus(abs1(2)) )
| $less(1,1)
| ~ divides1(abs1(2),1)
| ~ spl16_231 ),
inference(superposition,[],[f11911,f910]) ).
tff(f12072,plain,
( spl16_235
| spl16_238
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f12051,f11910,f12070,f12059]) ).
tff(f12070,plain,
( spl16_238
<=> $less(gcd1(abs1(2),0),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_238])]) ).
tff(f12051,plain,
( $less(gcd1(abs1(2),0),1)
| $less($uminus(abs1(2)),0)
| ~ spl16_231 ),
inference(superposition,[],[f11911,f786]) ).
tff(f12068,plain,
( spl16_237
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f12057,f11910,f12066]) ).
tff(f12057,plain,
( lt_nat1($uminus(abs1(2)),1)
| ~ spl16_231 ),
inference(evaluation,[],[f12047]) ).
tff(f12047,plain,
( lt_nat1($uminus(abs1(2)),1)
| $less(1,0)
| ~ spl16_231 ),
inference(resolution,[],[f11911,f577]) ).
tff(f12064,plain,
( spl16_235
| spl16_236
| ~ spl16_231 ),
inference(avatar_split_clause,[],[f12044,f11910,f12062,f12059]) ).
tff(f12062,plain,
( spl16_236
<=> ( 0 = $uminus(abs1(2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_236])]) ).
tff(f12044,plain,
( ( 0 = $uminus(abs1(2)) )
| $less($uminus(abs1(2)),0)
| ~ spl16_231 ),
inference(resolution,[],[f11911,f1024]) ).
tff(f11942,plain,
( ~ spl16_233
| ~ spl16_234
| ~ spl16_230 ),
inference(avatar_split_clause,[],[f11925,f11906,f11940,f11937]) ).
tff(f11937,plain,
( spl16_233
<=> $less(abs1(2),abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_233])]) ).
tff(f11906,plain,
( spl16_230
<=> $less(1,abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_230])]) ).
tff(f11925,plain,
( ~ prime1(abs1(2))
| ~ $less(abs1(2),abs1(2))
| ~ spl16_230 ),
inference(resolution,[],[f11907,f1282]) ).
tff(f11907,plain,
( $less(1,abs1(2))
| ~ spl16_230 ),
inference(avatar_component_clause,[],[f11906]) ).
tff(f11916,plain,
( spl16_232
| ~ spl16_227 ),
inference(avatar_split_clause,[],[f11893,f11838,f11914]) ).
tff(f11914,plain,
( spl16_232
<=> lt_nat1(1,abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_232])]) ).
tff(f11838,plain,
( spl16_227
<=> ( 1 = mod2(1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_227])]) ).
tff(f11893,plain,
( lt_nat1(1,abs1(2))
| ~ spl16_227 ),
inference(evaluation,[],[f11887]) ).
tff(f11887,plain,
( lt_nat1(1,abs1(2))
| ( 0 = 2 )
| ~ spl16_227 ),
inference(superposition,[],[f897,f11839]) ).
tff(f11839,plain,
( ( 1 = mod2(1,2) )
| ~ spl16_227 ),
inference(avatar_component_clause,[],[f11838]) ).
tff(f11912,plain,
( spl16_231
| ~ spl16_227 ),
inference(avatar_split_clause,[],[f11896,f11838,f11910]) ).
tff(f11896,plain,
( $less($uminus(abs1(2)),1)
| ~ spl16_227 ),
inference(evaluation,[],[f11883]) ).
tff(f11883,plain,
( ( 0 = 2 )
| $less($uminus(abs1(2)),1)
| ~ spl16_227 ),
inference(superposition,[],[f569,f11839]) ).
tff(f11908,plain,
( spl16_230
| ~ spl16_227 ),
inference(avatar_split_clause,[],[f11898,f11838,f11906]) ).
tff(f11898,plain,
( $less(1,abs1(2))
| ~ spl16_227 ),
inference(evaluation,[],[f11884]) ).
tff(f11884,plain,
( ( 0 = 2 )
| $less(1,abs1(2))
| ~ spl16_227 ),
inference(superposition,[],[f570,f11839]) ).
tff(f11904,plain,
( spl16_229
| ~ spl16_227 ),
inference(avatar_split_clause,[],[f11899,f11838,f11902]) ).
tff(f11902,plain,
( spl16_229
<=> ( 1 = $sum($product(2,div2(1,2)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_229])]) ).
tff(f11899,plain,
( ( 1 = $sum($product(2,div2(1,2)),1) )
| ~ spl16_227 ),
inference(evaluation,[],[f11880]) ).
tff(f11880,plain,
( ( 1 = $sum($product(2,div2(1,2)),1) )
| ( 0 = 2 )
| ~ spl16_227 ),
inference(superposition,[],[f511,f11839]) ).
tff(f11843,plain,
( spl16_227
| spl16_228
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f11810,f11608,f11841,f11838]) ).
tff(f11841,plain,
( spl16_228
<=> ( mod2(1,2) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_228])]) ).
tff(f11810,plain,
( ( mod2(1,2) = -1 )
| ( 1 = mod2(1,2) )
| ~ spl16_221 ),
inference(resolution,[],[f11609,f609]) ).
tff(f11836,plain,
( ~ spl16_226
| spl16_34
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f11801,f11608,f1351,f11834]) ).
tff(f11834,plain,
( spl16_226
<=> even1(mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_226])]) ).
tff(f11801,plain,
( ! [X2: $int] :
( divides1(2,X2)
| ~ even1(mod2(1,2)) )
| ~ spl16_221 ),
inference(resolution,[],[f11609,f834]) ).
tff(f11832,plain,
( spl16_225
| spl16_34
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f11802,f11608,f1351,f11830]) ).
tff(f11830,plain,
( spl16_225
<=> odd1(mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_225])]) ).
tff(f11802,plain,
( ! [X3: $int] :
( divides1(2,X3)
| odd1(mod2(1,2)) )
| ~ spl16_221 ),
inference(resolution,[],[f11609,f833]) ).
tff(f11828,plain,
( ~ spl16_223
| spl16_224
| ~ spl16_221 ),
inference(avatar_split_clause,[],[f11803,f11608,f11826,f11823]) ).
tff(f11823,plain,
( spl16_223
<=> $less(1,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_223])]) ).
tff(f11826,plain,
( spl16_224
<=> ! [X4: $int] :
( ~ prime1(X4)
| ~ $less(mod2(1,2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_224])]) ).
tff(f11803,plain,
( ! [X4: $int] :
( ~ prime1(X4)
| ~ $less(1,mod2(1,2))
| ~ $less(mod2(1,2),X4) )
| ~ spl16_221 ),
inference(resolution,[],[f11609,f551]) ).
tff(f11705,plain,
spl16_220,
inference(avatar_contradiction_clause,[],[f11704]) ).
tff(f11704,plain,
( $false
| spl16_220 ),
inference(subsumption_resolution,[],[f11702,f571]) ).
tff(f11702,plain,
( ~ divides1(1,2)
| spl16_220 ),
inference(evaluation,[],[f11700]) ).
tff(f11700,plain,
( ~ $less(1,2)
| $less(1,0)
| ~ divides1(1,2)
| spl16_220 ),
inference(superposition,[],[f11606,f537]) ).
tff(f11606,plain,
( ~ divides1(mod2(1,2),2)
| spl16_220 ),
inference(avatar_component_clause,[],[f11605]) ).
tff(f11605,plain,
( spl16_220
<=> divides1(mod2(1,2),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_220])]) ).
tff(f11622,plain,
( spl16_222
| ~ spl16_218 ),
inference(avatar_split_clause,[],[f11617,f11462,f11620]) ).
tff(f11620,plain,
( spl16_222
<=> lt_nat1(-2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_222])]) ).
tff(f11462,plain,
( spl16_218
<=> lt_nat1(-2,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_218])]) ).
tff(f11617,plain,
( lt_nat1(-2,1)
| ~ spl16_218 ),
inference(evaluation,[],[f11616]) ).
tff(f11616,plain,
( ~ $less(1,2)
| $less(1,0)
| lt_nat1(-2,1)
| ~ spl16_218 ),
inference(superposition,[],[f11463,f537]) ).
tff(f11463,plain,
( lt_nat1(-2,mod2(1,2))
| ~ spl16_218 ),
inference(avatar_component_clause,[],[f11462]) ).
tff(f11610,plain,
( ~ spl16_220
| spl16_221
| ~ spl16_216 ),
inference(avatar_split_clause,[],[f11597,f11408,f11608,f11605]) ).
tff(f11597,plain,
( ! [X1: $int] :
( divides1(mod2(1,2),X1)
| ~ divides1(mod2(1,2),2) )
| ~ spl16_216 ),
inference(resolution,[],[f11409,f1202]) ).
tff(f11563,plain,
( spl16_219
| ~ spl16_215 ),
inference(avatar_split_clause,[],[f11559,f11403,f11561]) ).
tff(f11561,plain,
( spl16_219
<=> lt_nat1(1,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_219])]) ).
tff(f11403,plain,
( spl16_215
<=> lt_nat1(mod2(1,2),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_215])]) ).
tff(f11559,plain,
( lt_nat1(1,2)
| ~ spl16_215 ),
inference(evaluation,[],[f11556]) ).
tff(f11556,plain,
( ~ $less(1,2)
| $less(1,0)
| lt_nat1(1,2)
| ~ spl16_215 ),
inference(superposition,[],[f11404,f537]) ).
tff(f11404,plain,
( lt_nat1(mod2(1,2),2)
| ~ spl16_215 ),
inference(avatar_component_clause,[],[f11403]) ).
tff(f11464,plain,
( spl16_218
| spl16_198
| ~ spl16_202 ),
inference(avatar_split_clause,[],[f11460,f11228,f11213,f11462]) ).
tff(f11228,plain,
( spl16_202
<=> $less(-2,mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_202])]) ).
tff(f11460,plain,
( lt_nat1(-2,mod2(1,2))
| spl16_198
| ~ spl16_202 ),
inference(subsumption_resolution,[],[f11455,f11214]) ).
tff(f11455,plain,
( lt_nat1(-2,mod2(1,2))
| $less(mod2(1,2),0)
| ~ spl16_202 ),
inference(resolution,[],[f11229,f577]) ).
tff(f11229,plain,
( $less(-2,mod2(1,2))
| ~ spl16_202 ),
inference(avatar_component_clause,[],[f11228]) ).
tff(f11413,plain,
( spl16_216
| spl16_217
| ~ spl16_4
| ~ spl16_201 ),
inference(avatar_split_clause,[],[f11406,f11224,f623,f11411,f11408]) ).
tff(f11224,plain,
( spl16_201
<=> $less(mod2(1,2),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_201])]) ).
tff(f11406,plain,
( $less(mod2(1,2),1)
| coprime1(mod2(1,2),2)
| ~ spl16_4
| ~ spl16_201 ),
inference(subsumption_resolution,[],[f11395,f624]) ).
tff(f11395,plain,
( $less(mod2(1,2),1)
| ~ prime1(2)
| coprime1(mod2(1,2),2)
| ~ spl16_201 ),
inference(resolution,[],[f11225,f501]) ).
tff(f11225,plain,
( $less(mod2(1,2),2)
| ~ spl16_201 ),
inference(avatar_component_clause,[],[f11224]) ).
tff(f11405,plain,
( spl16_215
| ~ spl16_201 ),
inference(avatar_split_clause,[],[f11401,f11224,f11403]) ).
tff(f11401,plain,
( lt_nat1(mod2(1,2),2)
| ~ spl16_201 ),
inference(evaluation,[],[f11396]) ).
tff(f11396,plain,
( $less(2,0)
| lt_nat1(mod2(1,2),2)
| ~ spl16_201 ),
inference(resolution,[],[f11225,f577]) ).
tff(f11380,plain,
spl16_199,
inference(avatar_contradiction_clause,[],[f11379]) ).
tff(f11379,plain,
( $false
| spl16_199 ),
inference(evaluation,[],[f11378]) ).
tff(f11378,plain,
( ~ $less(0,1)
| $less(1,0)
| ~ $less(1,2)
| spl16_199 ),
inference(superposition,[],[f11218,f537]) ).
tff(f11218,plain,
( ~ $less(0,mod2(1,2))
| spl16_199 ),
inference(avatar_component_clause,[],[f11217]) ).
tff(f11348,plain,
( spl16_17
| ~ spl16_96
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11347]) ).
tff(f11347,plain,
( $false
| spl16_17
| ~ spl16_96
| ~ spl16_193 ),
inference(subsumption_resolution,[],[f11338,f923]) ).
tff(f923,plain,
( ~ even1(1)
| spl16_17 ),
inference(avatar_component_clause,[],[f922]) ).
tff(f922,plain,
( spl16_17
<=> even1(1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
tff(f11338,plain,
( even1(1)
| ~ spl16_96
| ~ spl16_193 ),
inference(superposition,[],[f11280,f5159]) ).
tff(f11280,plain,
( ! [X6: $int] : even1(abs1(X6))
| ~ spl16_193 ),
inference(resolution,[],[f11195,f568]) ).
tff(f11195,plain,
( ! [X9: $int] :
( $less(X9,0)
| even1(X9) )
| ~ spl16_193 ),
inference(avatar_component_clause,[],[f11194]) ).
tff(f11346,plain,
( spl16_17
| ~ spl16_124
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11345]) ).
tff(f11345,plain,
( $false
| spl16_17
| ~ spl16_124
| ~ spl16_193 ),
inference(subsumption_resolution,[],[f11339,f923]) ).
tff(f11339,plain,
( even1(1)
| ~ spl16_124
| ~ spl16_193 ),
inference(superposition,[],[f11280,f6669]) ).
tff(f11344,plain,
( spl16_84
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11336]) ).
tff(f11336,plain,
( $false
| spl16_84
| ~ spl16_193 ),
inference(resolution,[],[f11280,f4051]) ).
tff(f4051,plain,
( ~ even1(abs1(-1))
| spl16_84 ),
inference(avatar_component_clause,[],[f4050]) ).
tff(f4050,plain,
( spl16_84
<=> even1(abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_84])]) ).
tff(f11343,plain,
( spl16_50
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11333]) ).
tff(f11333,plain,
( $false
| spl16_50
| ~ spl16_193 ),
inference(resolution,[],[f11280,f2293]) ).
tff(f2293,plain,
( ~ even1(abs1(abs1(abs1(3))))
| spl16_50 ),
inference(avatar_component_clause,[],[f2292]) ).
tff(f2292,plain,
( spl16_50
<=> even1(abs1(abs1(abs1(3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
tff(f11342,plain,
( spl16_39
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11335]) ).
tff(f11335,plain,
( $false
| spl16_39
| ~ spl16_193 ),
inference(resolution,[],[f11280,f1895]) ).
tff(f1895,plain,
( ~ even1(abs1(3))
| spl16_39 ),
inference(avatar_component_clause,[],[f1894]) ).
tff(f1894,plain,
( spl16_39
<=> even1(abs1(3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_39])]) ).
tff(f11341,plain,
( spl16_42
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11332]) ).
tff(f11332,plain,
( $false
| spl16_42
| ~ spl16_193 ),
inference(resolution,[],[f11280,f1943]) ).
tff(f1943,plain,
( ~ even1(abs1(abs1(3)))
| spl16_42 ),
inference(avatar_component_clause,[],[f1942]) ).
tff(f1942,plain,
( spl16_42
<=> even1(abs1(abs1(3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
tff(f11340,plain,
( spl16_121
| ~ spl16_193 ),
inference(avatar_contradiction_clause,[],[f11334]) ).
tff(f11334,plain,
( $false
| spl16_121
| ~ spl16_193 ),
inference(resolution,[],[f11280,f6568]) ).
tff(f6568,plain,
( ~ even1(abs1(1))
| spl16_121 ),
inference(avatar_component_clause,[],[f6567]) ).
tff(f6567,plain,
( spl16_121
<=> even1(abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_121])]) ).
tff(f11310,plain,
( spl16_214
| spl16_3
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f11296,f11194,f619,f11308]) ).
tff(f11296,plain,
( even1(sK12)
| spl16_3
| ~ spl16_193 ),
inference(resolution,[],[f11195,f620]) ).
tff(f11306,plain,
( spl16_213
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f11283,f11194,f11304]) ).
tff(f11283,plain,
( even1(abs1(abs1(0)))
| ~ spl16_193 ),
inference(resolution,[],[f11195,f1820]) ).
tff(f11302,plain,
( spl16_212
| ~ spl16_193 ),
inference(avatar_split_clause,[],[f11284,f11194,f11300]) ).
tff(f11284,plain,
( even1(abs1(abs1(abs1(0))))
| ~ spl16_193 ),
inference(resolution,[],[f11195,f1918]) ).
tff(f11274,plain,
( ~ spl16_210
| ~ spl16_211
| spl16_148
| spl16_55 ),
inference(avatar_split_clause,[],[f11241,f2343,f7755,f11272,f11269]) ).
tff(f11272,plain,
( spl16_211
<=> divides1($sum($product(2,sK12),1),$sum($product(2,sK11),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_211])]) ).
tff(f11241,plain,
( $less($sum($product(2,sK12),1),0)
| ~ divides1($sum($product(2,sK12),1),$sum($product(2,sK11),1))
| ( 1 != $sum($product(2,sK12),1) )
| spl16_55 ),
inference(superposition,[],[f2344,f2214]) ).
tff(f11267,plain,
( ~ spl16_209
| spl16_55 ),
inference(avatar_split_clause,[],[f11243,f2343,f11265]) ).
tff(f11265,plain,
( spl16_209
<=> coprime1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_209])]) ).
tff(f11243,plain,
( ~ coprime1($sum($product(2,sK11),1),$sum($product(2,sK12),1))
| spl16_55 ),
inference(trivial_inequality_removal,[],[f11237]) ).
tff(f11237,plain,
( ( 1 != 1 )
| ~ coprime1($sum($product(2,sK11),1),$sum($product(2,sK12),1))
| spl16_55 ),
inference(superposition,[],[f2344,f559]) ).
tff(f11263,plain,
( ~ spl16_208
| spl16_55 ),
inference(avatar_split_clause,[],[f11244,f2343,f11261]) ).
tff(f11261,plain,
( spl16_208
<=> coprime1($sum($product(2,sK12),1),$sum($product(2,sK11),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_208])]) ).
tff(f11244,plain,
( ~ coprime1($sum($product(2,sK12),1),$sum($product(2,sK11),1))
| spl16_55 ),
inference(trivial_inequality_removal,[],[f11238]) ).
tff(f11238,plain,
( ( 1 != 1 )
| ~ coprime1($sum($product(2,sK12),1),$sum($product(2,sK11),1))
| spl16_55 ),
inference(superposition,[],[f2344,f765]) ).
tff(f11259,plain,
( ~ spl16_205
| spl16_206
| ~ spl16_207
| spl16_55 ),
inference(avatar_split_clause,[],[f11242,f2343,f11257,f11254,f11251]) ).
tff(f11251,plain,
( spl16_205
<=> divides1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
tff(f11254,plain,
( spl16_206
<=> $less($sum($product(2,sK11),1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_206])]) ).
tff(f11242,plain,
( ( 1 != $sum($product(2,sK11),1) )
| $less($sum($product(2,sK11),1),0)
| ~ divides1($sum($product(2,sK11),1),$sum($product(2,sK12),1))
| spl16_55 ),
inference(superposition,[],[f2344,f2223]) ).
tff(f11249,plain,
( ~ spl16_204
| spl16_55 ),
inference(avatar_split_clause,[],[f11245,f2343,f11247]) ).
tff(f11247,plain,
( spl16_204
<=> coprime1($uminus($sum($product(2,sK11),1)),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_204])]) ).
tff(f11245,plain,
( ~ coprime1($uminus($sum($product(2,sK11),1)),$sum($product(2,sK12),1))
| spl16_55 ),
inference(trivial_inequality_removal,[],[f11239]) ).
tff(f11239,plain,
( ~ coprime1($uminus($sum($product(2,sK11),1)),$sum($product(2,sK12),1))
| ( 1 != 1 )
| spl16_55 ),
inference(superposition,[],[f2344,f774]) ).
tff(f11235,plain,
( spl16_203
| spl16_193 ),
inference(avatar_split_clause,[],[f11155,f11194,f11233]) ).
tff(f11233,plain,
( spl16_203
<=> lt_nat1(mod2(1,2),abs1(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_203])]) ).
tff(f11155,plain,
! [X12: $int] :
( even1(X12)
| lt_nat1(mod2(1,2),abs1(2))
| $less(X12,0) ),
inference(evaluation,[],[f11131]) ).
tff(f11131,plain,
! [X12: $int] :
( $less(X12,0)
| even1(X12)
| ( 0 = 2 )
| lt_nat1(mod2(1,2),abs1(2)) ),
inference(superposition,[],[f897,f2284]) ).
tff(f11230,plain,
( spl16_202
| spl16_193 ),
inference(avatar_split_clause,[],[f11163,f11194,f11228]) ).
tff(f11163,plain,
! [X13: $int] :
( even1(X13)
| $less(X13,0)
| $less(-2,mod2(1,2)) ),
inference(evaluation,[],[f11132]) ).
tff(f11132,plain,
! [X13: $int] :
( $less(X13,0)
| $less(2,0)
| ( 0 = 2 )
| even1(X13)
| $less($uminus(2),mod2(1,2)) ),
inference(superposition,[],[f989,f2284]) ).
tff(f11226,plain,
( spl16_193
| spl16_201 ),
inference(avatar_split_clause,[],[f11166,f11224,f11194]) ).
tff(f11166,plain,
! [X11: $int] :
( $less(mod2(1,2),2)
| even1(X11)
| $less(X11,0) ),
inference(evaluation,[],[f11130]) ).
tff(f11130,plain,
! [X11: $int] :
( $less(2,0)
| $less(mod2(1,2),2)
| ( 0 = 2 )
| $less(X11,0)
| even1(X11) ),
inference(superposition,[],[f884,f2284]) ).
tff(f11222,plain,
( ~ spl16_199
| spl16_200 ),
inference(avatar_split_clause,[],[f11171,f11220,f11217]) ).
tff(f11220,plain,
( spl16_200
<=> ! [X2: $int] :
( $less(X2,0)
| even1(X2)
| $less(0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_200])]) ).
tff(f11171,plain,
! [X2: $int] :
( $less(X2,0)
| $less(0,X2)
| ~ $less(0,mod2(1,2))
| even1(X2) ),
inference(evaluation,[],[f11121]) ).
tff(f11121,plain,
! [X2: $int] :
( even1(X2)
| ~ $less(0,mod2(1,2))
| $less(X2,0)
| ( 0 = 2 )
| $less(0,X2) ),
inference(superposition,[],[f455,f2284]) ).
tff(f11215,plain,
( spl16_193
| ~ spl16_198 ),
inference(avatar_split_clause,[],[f11173,f11213,f11194]) ).
tff(f11173,plain,
! [X10: $int] :
( ~ $less(mod2(1,2),0)
| even1(X10)
| $less(X10,0) ),
inference(evaluation,[],[f11172]) ).
tff(f11172,plain,
! [X10: $int] :
( ~ $less(mod2(1,2),0)
| $less(X10,0)
| even1(X10)
| ( 0 = 2 ) ),
inference(duplicate_literal_removal,[],[f11129]) ).
tff(f11129,plain,
! [X10: $int] :
( $less(X10,0)
| ~ $less(mod2(1,2),0)
| $less(X10,0)
| ( 0 = 2 )
| even1(X10) ),
inference(superposition,[],[f582,f2284]) ).
tff(f11211,plain,
( ~ spl16_196
| spl16_197 ),
inference(avatar_split_clause,[],[f11204,f11209,f11206]) ).
tff(f11206,plain,
( spl16_196
<=> ( 0 = mod2(1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_196])]) ).
tff(f11209,plain,
( spl16_197
<=> ! [X3: $int] :
( $less(X3,0)
| divides1(2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_197])]) ).
tff(f11204,plain,
! [X3: $int] :
( $less(X3,0)
| ( 0 != mod2(1,2) )
| divides1(2,X3) ),
inference(subsumption_resolution,[],[f11183,f519]) ).
tff(f11183,plain,
! [X3: $int] :
( even1(X3)
| ( 0 != mod2(1,2) )
| $less(X3,0)
| divides1(2,X3) ),
inference(evaluation,[],[f11122]) ).
tff(f11122,plain,
! [X3: $int] :
( ( 0 = 2 )
| divides1(2,X3)
| $less(X3,0)
| even1(X3)
| ( 0 != mod2(1,2) ) ),
inference(superposition,[],[f462,f2284]) ).
tff(f11203,plain,
( spl16_195
| spl16_193 ),
inference(avatar_split_clause,[],[f11185,f11194,f11201]) ).
tff(f11201,plain,
( spl16_195
<=> $less($uminus(abs1(2)),mod2(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_195])]) ).
tff(f11185,plain,
! [X8: $int] :
( even1(X8)
| $less($uminus(abs1(2)),mod2(1,2))
| $less(X8,0) ),
inference(evaluation,[],[f11127]) ).
tff(f11127,plain,
! [X8: $int] :
( $less($uminus(abs1(2)),mod2(1,2))
| $less(X8,0)
| even1(X8)
| ( 0 = 2 ) ),
inference(superposition,[],[f569,f2284]) ).
tff(f11199,plain,
( spl16_193
| spl16_194 ),
inference(avatar_split_clause,[],[f11187,f11197,f11194]) ).
tff(f11187,plain,
! [X9: $int] :
( $less(mod2(1,2),abs1(2))
| $less(X9,0)
| even1(X9) ),
inference(evaluation,[],[f11128]) ).
tff(f11128,plain,
! [X9: $int] :
( $less(X9,0)
| ( 0 = 2 )
| even1(X9)
| $less(mod2(1,2),abs1(2)) ),
inference(superposition,[],[f570,f2284]) ).
tff(f11111,plain,
spl16_192,
inference(avatar_split_clause,[],[f11090,f11108]) ).
tff(f11108,plain,
( spl16_192
<=> ! [X5: $int] :
( divides1(sK14(X5),$uminus(X5))
| ~ even1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_192])]) ).
tff(f11090,plain,
! [X0: $int] :
( ~ even1(X0)
| divides1(sK14(X0),$uminus(X0)) ),
inference(superposition,[],[f2727,f599]) ).
tff(f2727,plain,
! [X18: $int,X17: $int] : divides1(X17,$uminus($product(X18,X17))),
inference(evaluation,[],[f2711]) ).
tff(f2711,plain,
! [X18: $int,X17: $int] : divides1(X17,$uminus($product(X18,$uminus($uminus(X17))))),
inference(resolution,[],[f693,f692]) ).
tff(f11110,plain,
( spl16_192
| spl16_93 ),
inference(avatar_split_clause,[],[f11093,f5049,f11108]) ).
tff(f11093,plain,
! [X4: $int,X5: $int] :
( ~ prime1(X4)
| divides1(sK14(X5),$uminus(X5))
| ~ even1(X5)
| ~ even1(X4) ),
inference(superposition,[],[f2727,f811]) ).
tff(f10336,plain,
( ~ spl16_103
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f10305,f10066,f6116]) ).
tff(f6116,plain,
( spl16_103
<=> prime1($uminus(abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_103])]) ).
tff(f10066,plain,
( spl16_182
<=> $less($uminus(abs1(-1)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_182])]) ).
tff(f10305,plain,
( ~ prime1($uminus(abs1(-1)))
| ~ spl16_182 ),
inference(resolution,[],[f10067,f552]) ).
tff(f552,plain,
! [X0: $int] :
( ~ $less(X0,2)
| ~ prime1(X0) ),
inference(cnf_transformation,[],[f421]) ).
tff(f10067,plain,
( $less($uminus(abs1(-1)),2)
| ~ spl16_182 ),
inference(avatar_component_clause,[],[f10066]) ).
tff(f10334,plain,
( spl16_191
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f10319,f10066,f10332]) ).
tff(f10332,plain,
( spl16_191
<=> lt_nat1($uminus(abs1(-1)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_191])]) ).
tff(f10319,plain,
( lt_nat1($uminus(abs1(-1)),2)
| ~ spl16_182 ),
inference(evaluation,[],[f10308]) ).
tff(f10308,plain,
( lt_nat1($uminus(abs1(-1)),2)
| $less(2,0)
| ~ spl16_182 ),
inference(resolution,[],[f10067,f577]) ).
tff(f10330,plain,
( spl16_189
| spl16_190
| ~ spl16_4
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f10323,f10066,f623,f10328,f10325]) ).
tff(f10325,plain,
( spl16_189
<=> coprime1($uminus(abs1(-1)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_189])]) ).
tff(f10323,plain,
( $less($uminus(abs1(-1)),1)
| coprime1($uminus(abs1(-1)),2)
| ~ spl16_4
| ~ spl16_182 ),
inference(subsumption_resolution,[],[f10307,f624]) ).
tff(f10307,plain,
( coprime1($uminus(abs1(-1)),2)
| $less($uminus(abs1(-1)),1)
| ~ prime1(2)
| ~ spl16_182 ),
inference(resolution,[],[f10067,f501]) ).
tff(f10322,plain,
( ~ spl16_103
| ~ spl16_4
| ~ spl16_9
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f10321,f10066,f650,f623,f6116]) ).
tff(f10321,plain,
( ~ prime1($uminus(abs1(-1)))
| ~ spl16_4
| ~ spl16_9
| ~ spl16_182 ),
inference(subsumption_resolution,[],[f10320,f651]) ).
tff(f10320,plain,
( ~ even1(2)
| ~ prime1($uminus(abs1(-1)))
| ~ spl16_4
| ~ spl16_182 ),
inference(subsumption_resolution,[],[f10306,f624]) ).
tff(f10306,plain,
( ~ prime1($uminus(abs1(-1)))
| ~ prime1(2)
| ~ even1(2)
| ~ spl16_182 ),
inference(resolution,[],[f10067,f731]) ).
tff(f731,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ even1(X0)
| ~ prime1(X1)
| ~ prime1(X0) ),
inference(superposition,[],[f552,f583]) ).
tff(f10177,plain,
( ~ spl16_10
| spl16_102
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10176]) ).
tff(f10176,plain,
( $false
| ~ spl16_10
| spl16_102
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10124,f655]) ).
tff(f10124,plain,
( ~ even1(0)
| spl16_102
| ~ spl16_179 ),
inference(evaluation,[],[f10092]) ).
tff(f10092,plain,
( ~ even1($uminus(0))
| spl16_102
| ~ spl16_179 ),
inference(superposition,[],[f6114,f10056]) ).
tff(f10056,plain,
( ( 0 = abs1(-1) )
| ~ spl16_179 ),
inference(avatar_component_clause,[],[f10055]) ).
tff(f6114,plain,
( ~ even1($uminus(abs1(-1)))
| spl16_102 ),
inference(avatar_component_clause,[],[f6113]) ).
tff(f6113,plain,
( spl16_102
<=> even1($uminus(abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_102])]) ).
tff(f10175,plain,
( ~ spl16_188
| ~ spl16_179 ),
inference(avatar_split_clause,[],[f10122,f10055,f10173]) ).
tff(f10173,plain,
( spl16_188
<=> $less(abs1(abs1(0)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_188])]) ).
tff(f10122,plain,
( ~ $less(abs1(abs1(0)),-1)
| ~ spl16_179 ),
inference(superposition,[],[f1918,f10056]) ).
tff(f10171,plain,
~ spl16_179,
inference(avatar_contradiction_clause,[],[f10170]) ).
tff(f10170,plain,
( $false
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10134,f10169]) ).
tff(f10169,plain,
( ! [X18: $int] : ~ $less(0,X18)
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10135,f10168]) ).
tff(f10168,plain,
( ! [X15: $int] : divides1(X15,-1)
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10136,f564]) ).
tff(f10136,plain,
( ! [X15: $int] :
( divides1(X15,-1)
| ~ divides1(X15,0) )
| ~ spl16_179 ),
inference(evaluation,[],[f10112]) ).
tff(f10112,plain,
( ! [X15: $int] :
( ~ $less(-1,0)
| ~ divides1(X15,0)
| divides1(X15,-1) )
| ~ spl16_179 ),
inference(superposition,[],[f808,f10056]) ).
tff(f808,plain,
! [X10: $int,X11: $int] :
( ~ divides1(X11,abs1(X10))
| divides1(X11,X10)
| ~ $less(X10,0) ),
inference(superposition,[],[f567,f584]) ).
tff(f10135,plain,
( ! [X18: $int] :
( ~ $less(0,X18)
| ~ divides1(X18,-1) )
| ~ spl16_179 ),
inference(evaluation,[],[f10115]) ).
tff(f10115,plain,
( ! [X18: $int] :
( ~ divides1(X18,-1)
| ~ $less(0,X18)
| ( 0 = -1 ) )
| ~ spl16_179 ),
inference(superposition,[],[f1118,f10056]) ).
tff(f10134,plain,
( ! [X8: $int] : $less(0,mod2(X8,-1))
| ~ spl16_179 ),
inference(evaluation,[],[f10104]) ).
tff(f10104,plain,
( ! [X8: $int] :
( ( 0 = -1 )
| $less($uminus(0),mod2(X8,-1)) )
| ~ spl16_179 ),
inference(superposition,[],[f569,f10056]) ).
tff(f10167,plain,
( spl16_12
| ~ spl16_101
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10166]) ).
tff(f10166,plain,
( $false
| spl16_12
| ~ spl16_101
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10137,f668]) ).
tff(f10137,plain,
( odd1(0)
| ~ spl16_101
| ~ spl16_179 ),
inference(evaluation,[],[f10091]) ).
tff(f10091,plain,
( odd1($uminus(0))
| ~ spl16_101
| ~ spl16_179 ),
inference(superposition,[],[f6110,f10056]) ).
tff(f6110,plain,
( odd1($uminus(abs1(-1)))
| ~ spl16_101 ),
inference(avatar_component_clause,[],[f6109]) ).
tff(f6109,plain,
( spl16_101
<=> odd1($uminus(abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_101])]) ).
tff(f10165,plain,
( ~ spl16_187
| ~ spl16_179 ),
inference(avatar_split_clause,[],[f10141,f10055,f10163]) ).
tff(f10163,plain,
( spl16_187
<=> $less(0,abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_187])]) ).
tff(f10141,plain,
( ~ $less(0,abs1(-1))
| ~ spl16_179 ),
inference(evaluation,[],[f10119]) ).
tff(f10119,plain,
( ~ $less(0,abs1($product(-1,1)))
| ~ spl16_179 ),
inference(superposition,[],[f1553,f10056]) ).
tff(f10161,plain,
~ spl16_179,
inference(avatar_contradiction_clause,[],[f10160]) ).
tff(f10160,plain,
( $false
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10144,f2761]) ).
tff(f10144,plain,
( ! [X19: $int] : ~ divides1(-1,X19)
| ~ spl16_179 ),
inference(evaluation,[],[f10116]) ).
tff(f10116,plain,
( ! [X19: $int] :
( $less(0,0)
| ( 0 = -1 )
| ~ divides1(-1,X19) )
| ~ spl16_179 ),
inference(superposition,[],[f1361,f10056]) ).
tff(f1361,plain,
! [X10: $int,X9: $int] :
( $less(0,abs1(X10))
| ~ divides1(X10,X9)
| ( 0 = X10 ) ),
inference(duplicate_literal_removal,[],[f1359]) ).
tff(f1359,plain,
! [X10: $int,X9: $int] :
( ~ divides1(X10,X9)
| ( 0 = X10 )
| $less(0,abs1(X10))
| ( 0 = X10 ) ),
inference(superposition,[],[f570,f555]) ).
tff(f10159,plain,
( spl16_12
| ~ spl16_83
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10158]) ).
tff(f10158,plain,
( $false
| spl16_12
| ~ spl16_83
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10085,f668]) ).
tff(f10085,plain,
( odd1(0)
| ~ spl16_83
| ~ spl16_179 ),
inference(superposition,[],[f4047,f10056]) ).
tff(f4047,plain,
( odd1(abs1(-1))
| ~ spl16_83 ),
inference(avatar_component_clause,[],[f4046]) ).
tff(f4046,plain,
( spl16_83
<=> odd1(abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_83])]) ).
tff(f10156,plain,
~ spl16_179,
inference(avatar_contradiction_clause,[],[f10155]) ).
tff(f10155,plain,
( $false
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10146,f2761]) ).
tff(f10146,plain,
( ! [X20: $int] : ~ divides1(-1,X20)
| ~ spl16_179 ),
inference(evaluation,[],[f10117]) ).
tff(f10117,plain,
( ! [X20: $int] :
( ( 0 = -1 )
| $less($uminus(0),0)
| ~ divides1(-1,X20) )
| ~ spl16_179 ),
inference(superposition,[],[f1363,f10056]) ).
tff(f1363,plain,
! [X8: $int,X7: $int] :
( $less($uminus(abs1(X8)),0)
| ( 0 = X8 )
| ~ divides1(X8,X7) ),
inference(duplicate_literal_removal,[],[f1358]) ).
tff(f1358,plain,
! [X8: $int,X7: $int] :
( $less($uminus(abs1(X8)),0)
| ~ divides1(X8,X7)
| ( 0 = X8 )
| ( 0 = X8 ) ),
inference(superposition,[],[f569,f555]) ).
tff(f10154,plain,
( ~ spl16_186
| ~ spl16_179 ),
inference(avatar_split_clause,[],[f10121,f10055,f10152]) ).
tff(f10152,plain,
( spl16_186
<=> $less(abs1(0),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_186])]) ).
tff(f10121,plain,
( ~ $less(abs1(0),-1)
| ~ spl16_179 ),
inference(superposition,[],[f1820,f10056]) ).
tff(f10150,plain,
( ~ spl16_10
| spl16_84
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10149]) ).
tff(f10149,plain,
( $false
| ~ spl16_10
| spl16_84
| ~ spl16_179 ),
inference(subsumption_resolution,[],[f10086,f655]) ).
tff(f10086,plain,
( ~ even1(0)
| spl16_84
| ~ spl16_179 ),
inference(superposition,[],[f4051,f10056]) ).
tff(f10139,plain,
( ~ spl16_107
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10138]) ).
tff(f10138,plain,
( $false
| ~ spl16_107
| ~ spl16_179 ),
inference(evaluation,[],[f10094]) ).
tff(f10094,plain,
( $less($uminus(0),0)
| ~ spl16_107
| ~ spl16_179 ),
inference(superposition,[],[f6134,f10056]) ).
tff(f6134,plain,
( $less($uminus(abs1(-1)),0)
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f6133]) ).
tff(f6133,plain,
( spl16_107
<=> $less($uminus(abs1(-1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).
tff(f10133,plain,
( ~ spl16_96
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10132]) ).
tff(f10132,plain,
( $false
| ~ spl16_96
| ~ spl16_179 ),
inference(evaluation,[],[f10087]) ).
tff(f10087,plain,
( ( 0 = 1 )
| ~ spl16_96
| ~ spl16_179 ),
inference(superposition,[],[f5159,f10056]) ).
tff(f10130,plain,
( ~ spl16_96
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10129]) ).
tff(f10129,plain,
( $false
| ~ spl16_96
| ~ spl16_179 ),
inference(evaluation,[],[f10083]) ).
tff(f10083,plain,
( ( 0 = 1 )
| ~ spl16_96
| ~ spl16_179 ),
inference(superposition,[],[f10056,f5159]) ).
tff(f10126,plain,
( ~ spl16_110
| ~ spl16_179 ),
inference(avatar_contradiction_clause,[],[f10125]) ).
tff(f10125,plain,
( $false
| ~ spl16_110
| ~ spl16_179 ),
inference(evaluation,[],[f10095]) ).
tff(f10095,plain,
( ( -1 = $uminus(0) )
| ~ spl16_110
| ~ spl16_179 ),
inference(superposition,[],[f6144,f10056]) ).
tff(f10082,plain,
( ~ spl16_183
| spl16_134
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f10081,f6143,f7259,f10071]) ).
tff(f10071,plain,
( spl16_183
<=> divides1(2,abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_183])]) ).
tff(f7259,plain,
( spl16_134
<=> ! [X14: $int] : ~ odd1($sum(X14,-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_134])]) ).
tff(f10081,plain,
( ! [X29: $int] :
( ~ odd1($sum(X29,-1))
| ~ divides1(2,abs1(-1)) )
| ~ spl16_110 ),
inference(subsumption_resolution,[],[f10045,f6082]) ).
tff(f6082,plain,
! [X0: $int,X1: $int] :
( ~ divides1(X0,abs1(-1))
| divides1(X0,X1) ),
inference(resolution,[],[f5724,f828]) ).
tff(f10045,plain,
( ! [X29: $int] :
( ~ divides1(2,X29)
| ~ odd1($sum(X29,-1))
| ~ divides1(2,abs1(-1)) )
| ~ spl16_110 ),
inference(superposition,[],[f1606,f6144]) ).
tff(f1606,plain,
! [X18: $int,X17: $int] :
( ~ odd1($sum(X18,$uminus(X17)))
| ~ divides1(2,X18)
| ~ divides1(2,X17) ),
inference(resolution,[],[f586,f533]) ).
tff(f10080,plain,
( spl16_103
| spl16_182
| spl16_185
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f10035,f6143,f10078,f10066,f6116]) ).
tff(f10078,plain,
( spl16_185
<=> divides1(sK10(-1),abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_185])]) ).
tff(f10035,plain,
( divides1(sK10(-1),abs1(-1))
| $less($uminus(abs1(-1)),2)
| prime1($uminus(abs1(-1)))
| ~ spl16_110 ),
inference(superposition,[],[f854,f6144]) ).
tff(f854,plain,
! [X0: $int] :
( divides1(sK10($uminus(X0)),X0)
| $less($uminus(X0),2)
| prime1($uminus(X0)) ),
inference(resolution,[],[f549,f567]) ).
tff(f549,plain,
! [X0: $int] :
( divides1(sK10(X0),X0)
| prime1(X0)
| $less(X0,2) ),
inference(cnf_transformation,[],[f421]) ).
tff(f10076,plain,
( ~ spl16_183
| spl16_184
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f10069,f6143,f10074,f10071]) ).
tff(f10074,plain,
( spl16_184
<=> ! [X30: $int] : even1($sum(X30,-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_184])]) ).
tff(f10069,plain,
( ! [X30: $int] :
( even1($sum(X30,-1))
| ~ divides1(2,abs1(-1)) )
| ~ spl16_110 ),
inference(subsumption_resolution,[],[f10046,f6082]) ).
tff(f10046,plain,
( ! [X30: $int] :
( even1($sum(X30,-1))
| ~ divides1(2,X30)
| ~ divides1(2,abs1(-1)) )
| ~ spl16_110 ),
inference(superposition,[],[f1607,f6144]) ).
tff(f10068,plain,
( spl16_181
| spl16_103
| spl16_182
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f10036,f6143,f10066,f6116,f10062]) ).
tff(f10062,plain,
( spl16_181
<=> divides1(sK15(-1),abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_181])]) ).
tff(f10036,plain,
( $less($uminus(abs1(-1)),2)
| prime1($uminus(abs1(-1)))
| divides1(sK15(-1),abs1(-1))
| ~ spl16_110 ),
inference(superposition,[],[f907,f6144]) ).
tff(f907,plain,
! [X0: $int] :
( divides1(sK15($uminus(X0)),X0)
| prime1($uminus(X0))
| $less($uminus(X0),2) ),
inference(resolution,[],[f601,f567]) ).
tff(f601,plain,
! [X0: $int] :
( divides1(sK15(X0),X0)
| $less(X0,2)
| prime1(X0) ),
inference(cnf_transformation,[],[f450]) ).
tff(f450,plain,
! [X0: $int] :
( prime1(X0)
| ( ~ $less(X0,$product(sK15(X0),sK15(X0)))
& $less(1,$product(sK15(X0),sK15(X0)))
& prime1(sK15(X0))
& divides1(sK15(X0),X0)
& ~ $less(sK15(X0),2) )
| $less(X0,2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f270,f449]) ).
tff(f449,plain,
! [X0: $int] :
( ? [X1: $int] :
( ~ $less(X0,$product(X1,X1))
& $less(1,$product(X1,X1))
& prime1(X1)
& divides1(X1,X0)
& ~ $less(X1,2) )
=> ( ~ $less(X0,$product(sK15(X0),sK15(X0)))
& $less(1,$product(sK15(X0),sK15(X0)))
& prime1(sK15(X0))
& divides1(sK15(X0),X0)
& ~ $less(sK15(X0),2) ) ),
introduced(choice_axiom,[]) ).
tff(f270,plain,
! [X0: $int] :
( prime1(X0)
| ? [X1: $int] :
( ~ $less(X0,$product(X1,X1))
& $less(1,$product(X1,X1))
& prime1(X1)
& divides1(X1,X0)
& ~ $less(X1,2) )
| $less(X0,2) ),
inference(flattening,[],[f269]) ).
tff(f269,plain,
! [X0: $int] :
( prime1(X0)
| ? [X1: $int] :
( divides1(X1,X0)
& $less(1,$product(X1,X1))
& ~ $less(X0,$product(X1,X1))
& prime1(X1)
& ~ $less(X1,2) )
| $less(X0,2) ),
inference(ennf_transformation,[],[f228]) ).
tff(f228,plain,
! [X0: $int] :
( ~ $less(X0,2)
=> ( ! [X1: $int] :
( ~ $less(X1,2)
=> ( prime1(X1)
=> ( ( $less(1,$product(X1,X1))
& ~ $less(X0,$product(X1,X1)) )
=> ~ divides1(X1,X0) ) ) )
=> prime1(X0) ) ),
inference(rectify,[],[f139]) ).
tff(f139,plain,
! [X20: $int] :
( ~ $less(X20,2)
=> ( ! [X16: $int] :
( ~ $less(X16,2)
=> ( prime1(X16)
=> ( ( ~ $less(X20,$product(X16,X16))
& $less(1,$product(X16,X16)) )
=> ~ divides1(X16,X20) ) ) )
=> prime1(X20) ) ),
inference(theory_normalization,[],[f104]) ).
tff(f104,axiom,
! [X20: $int] :
( $lesseq(2,X20)
=> ( ! [X16: $int] :
( $lesseq(2,X16)
=> ( prime1(X16)
=> ( ( $lesseq($product(X16,X16),X20)
& $less(1,$product(X16,X16)) )
=> ~ divides1(X16,X20) ) ) )
=> prime1(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',small_divisors) ).
tff(f10060,plain,
( spl16_179
| spl16_180
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f10053,f6143,f10058,f10055]) ).
tff(f10058,plain,
( spl16_180
<=> ! [X25: $int] : $less(-1,mod2(X25,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_180])]) ).
tff(f10053,plain,
( ! [X25: $int] :
( $less(-1,mod2(X25,abs1(-1)))
| ( 0 = abs1(-1) ) )
| ~ spl16_110 ),
inference(subsumption_resolution,[],[f10038,f568]) ).
tff(f10038,plain,
( ! [X25: $int] :
( $less(-1,mod2(X25,abs1(-1)))
| ( 0 = abs1(-1) )
| $less(abs1(-1),0) )
| ~ spl16_110 ),
inference(superposition,[],[f989,f6144]) ).
tff(f9416,plain,
( spl16_178
| ~ spl16_124
| ~ spl16_157 ),
inference(avatar_split_clause,[],[f9408,f8523,f6668,f9412]) ).
tff(f9412,plain,
( spl16_178
<=> lt_nat1(-1,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_178])]) ).
tff(f8523,plain,
( spl16_157
<=> lt_nat1($uminus(abs1(1)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_157])]) ).
tff(f9408,plain,
( lt_nat1(-1,2)
| ~ spl16_124
| ~ spl16_157 ),
inference(evaluation,[],[f9398]) ).
tff(f9398,plain,
( lt_nat1($uminus(1),2)
| ~ spl16_124
| ~ spl16_157 ),
inference(superposition,[],[f8524,f6669]) ).
tff(f8524,plain,
( lt_nat1($uminus(abs1(1)),2)
| ~ spl16_157 ),
inference(avatar_component_clause,[],[f8523]) ).
tff(f9415,plain,
( spl16_178
| ~ spl16_157 ),
inference(avatar_split_clause,[],[f9409,f8523,f9412]) ).
tff(f9409,plain,
( lt_nat1(-1,2)
| ~ spl16_157 ),
inference(evaluation,[],[f9399]) ).
tff(f9399,plain,
( lt_nat1($uminus(1),2)
| $less(1,0)
| ~ spl16_157 ),
inference(superposition,[],[f8524,f585]) ).
tff(f9414,plain,
( spl16_178
| ~ spl16_111
| ~ spl16_157 ),
inference(avatar_split_clause,[],[f9400,f8523,f6371,f9412]) ).
tff(f9400,plain,
( lt_nat1(-1,2)
| ~ spl16_111
| ~ spl16_157 ),
inference(superposition,[],[f8524,f6372]) ).
tff(f8686,plain,
( spl16_177
| ~ spl16_162 ),
inference(avatar_split_clause,[],[f8682,f8611,f8684]) ).
tff(f8684,plain,
( spl16_177
<=> ! [X18: $int] :
( even1(sK14(X18))
| ~ divides1(0,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_177])]) ).
tff(f8682,plain,
! [X18: $int] :
( ~ coprime1(0,2)
| even1(sK14(X18))
| ~ divides1(0,X18) ),
inference(subsumption_resolution,[],[f8579,f1624]) ).
tff(f1624,plain,
! [X0: $int] :
( ~ divides1(0,X0)
| even1(X0) ),
inference(superposition,[],[f1621,f523]) ).
tff(f1621,plain,
! [X15: $int] : even1($product(X15,0)),
inference(resolution,[],[f1420,f1066]) ).
tff(f1420,plain,
! [X4: $int,X5: $int] : divides1(X4,$product(X5,0)),
inference(resolution,[],[f823,f605]) ).
tff(f8579,plain,
! [X18: $int] :
( ~ even1(X18)
| ~ divides1(0,X18)
| even1(sK14(X18))
| ~ coprime1(0,2) ),
inference(resolution,[],[f1218,f1624]) ).
tff(f1218,plain,
! [X0: $int,X1: $int] :
( divides1(X1,sK14(X0))
| ~ divides1(X1,X0)
| ~ coprime1(X1,2)
| ~ even1(X0) ),
inference(superposition,[],[f546,f599]) ).
tff(f8681,plain,
( ~ spl16_160
| spl16_176 ),
inference(avatar_split_clause,[],[f8677,f8679,f8603]) ).
tff(f8603,plain,
( spl16_160
<=> coprime1(-2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_160])]) ).
tff(f8679,plain,
( spl16_176
<=> ! [X56: $int] :
( even1(sK14(X56))
| ~ divides1(-2,X56) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_176])]) ).
tff(f8677,plain,
! [X56: $int] :
( even1(sK14(X56))
| ~ divides1(-2,X56)
| ~ coprime1(-2,2) ),
inference(subsumption_resolution,[],[f8598,f1066]) ).
tff(f8598,plain,
! [X56: $int] :
( even1(sK14(X56))
| ~ divides1(-2,X56)
| ~ even1(X56)
| ~ coprime1(-2,2) ),
inference(resolution,[],[f1218,f1066]) ).
tff(f8676,plain,
( spl16_165
| ~ spl16_172 ),
inference(avatar_split_clause,[],[f8675,f8655,f8622]) ).
tff(f8655,plain,
( spl16_172
<=> coprime1(2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_172])]) ).
tff(f8675,plain,
! [X46: $int] :
( ~ coprime1(2,2)
| ~ even1(X46)
| ~ odd1(sK14(X46)) ),
inference(subsumption_resolution,[],[f8591,f1199]) ).
tff(f1199,plain,
! [X0: $int,X1: $int] :
( ~ coprime1(X0,X0)
| divides1(X0,X1) ),
inference(resolution,[],[f546,f466]) ).
tff(f8591,plain,
! [X46: $int] :
( ~ divides1(2,X46)
| ~ even1(X46)
| ~ odd1(sK14(X46))
| ~ coprime1(2,2) ),
inference(resolution,[],[f1218,f533]) ).
tff(f8674,plain,
( ~ spl16_172
| spl16_175 ),
inference(avatar_split_clause,[],[f8673,f8670,f8655]) ).
tff(f8673,plain,
! [X47: $int] :
( even1(sK14(X47))
| ~ coprime1(2,2)
| ~ even1(X47) ),
inference(subsumption_resolution,[],[f8592,f1199]) ).
tff(f8592,plain,
! [X47: $int] :
( ~ even1(X47)
| even1(sK14(X47))
| ~ divides1(2,X47)
| ~ coprime1(2,2) ),
inference(resolution,[],[f1218,f518]) ).
tff(f8672,plain,
( spl16_164
| spl16_175 ),
inference(avatar_split_clause,[],[f8668,f8670,f8619]) ).
tff(f8619,plain,
( spl16_164
<=> ! [X2: $int] :
( ~ prime1(X2)
| ~ even1(X2)
| ~ coprime1(X2,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_164])]) ).
tff(f8668,plain,
! [X4: $int,X5: $int] :
( even1(sK14(X5))
| ~ even1(X5)
| ~ even1(X4)
| ~ prime1(X4)
| ~ coprime1(X4,2) ),
inference(subsumption_resolution,[],[f8571,f727]) ).
tff(f8571,plain,
! [X4: $int,X5: $int] :
( even1(sK14(X5))
| ~ even1(X4)
| ~ coprime1(X4,2)
| ~ even1(X5)
| ~ divides1(X4,X5)
| ~ prime1(X4) ),
inference(resolution,[],[f1218,f726]) ).
tff(f8667,plain,
( ~ spl16_172
| spl16_174 ),
inference(avatar_split_clause,[],[f8663,f8665,f8655]) ).
tff(f8665,plain,
( spl16_174
<=> ! [X45: $int] :
( ~ odd1($uminus(sK14(X45)))
| ~ even1(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_174])]) ).
tff(f8663,plain,
! [X45: $int] :
( ~ odd1($uminus(sK14(X45)))
| ~ even1(X45)
| ~ coprime1(2,2) ),
inference(subsumption_resolution,[],[f8590,f1199]) ).
tff(f8590,plain,
! [X45: $int] :
( ~ divides1(2,X45)
| ~ odd1($uminus(sK14(X45)))
| ~ even1(X45)
| ~ coprime1(2,2) ),
inference(resolution,[],[f1218,f685]) ).
tff(f8662,plain,
( ~ spl16_160
| spl16_173 ),
inference(avatar_split_clause,[],[f8658,f8660,f8603]) ).
tff(f8660,plain,
( spl16_173
<=> ! [X53: $int] :
( ~ divides1(-2,X53)
| divides1(2,sK14(X53)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_173])]) ).
tff(f8658,plain,
! [X53: $int] :
( ~ divides1(-2,X53)
| ~ coprime1(-2,2)
| divides1(2,sK14(X53)) ),
inference(subsumption_resolution,[],[f8595,f1066]) ).
tff(f8595,plain,
! [X53: $int] :
( divides1(2,sK14(X53))
| ~ coprime1(-2,2)
| ~ divides1(-2,X53)
| ~ even1(X53) ),
inference(resolution,[],[f1218,f1274]) ).
tff(f8657,plain,
( spl16_171
| ~ spl16_172 ),
inference(avatar_split_clause,[],[f8650,f8655,f8652]) ).
tff(f8652,plain,
( spl16_171
<=> ! [X44: $int] :
( ~ even1(X44)
| even1($uminus(sK14(X44))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_171])]) ).
tff(f8650,plain,
! [X44: $int] :
( ~ coprime1(2,2)
| ~ even1(X44)
| even1($uminus(sK14(X44))) ),
inference(subsumption_resolution,[],[f8589,f1199]) ).
tff(f8589,plain,
! [X44: $int] :
( even1($uminus(sK14(X44)))
| ~ divides1(2,X44)
| ~ even1(X44)
| ~ coprime1(2,2) ),
inference(resolution,[],[f1218,f686]) ).
tff(f8649,plain,
( spl16_170
| ~ spl16_162 ),
inference(avatar_split_clause,[],[f8645,f8611,f8647]) ).
tff(f8647,plain,
( spl16_170
<=> ! [X20: $int,X19: $int] :
( divides1(X20,sK14(X19))
| ~ divides1(0,X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_170])]) ).
tff(f8645,plain,
! [X19: $int,X20: $int] :
( ~ coprime1(0,2)
| divides1(X20,sK14(X19))
| ~ divides1(0,X19) ),
inference(subsumption_resolution,[],[f8580,f1624]) ).
tff(f8580,plain,
! [X19: $int,X20: $int] :
( ~ coprime1(0,2)
| ~ divides1(0,X19)
| divides1(X20,sK14(X19))
| ~ even1(X19) ),
inference(resolution,[],[f1218,f823]) ).
tff(f8644,plain,
( ~ spl16_160
| spl16_169 ),
inference(avatar_split_clause,[],[f8640,f8642,f8603]) ).
tff(f8642,plain,
( spl16_169
<=> ! [X54: $int] :
( ~ odd1($uminus(sK14(X54)))
| ~ divides1(-2,X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_169])]) ).
tff(f8640,plain,
! [X54: $int] :
( ~ odd1($uminus(sK14(X54)))
| ~ coprime1(-2,2)
| ~ divides1(-2,X54) ),
inference(subsumption_resolution,[],[f8596,f1066]) ).
tff(f8596,plain,
! [X54: $int] :
( ~ even1(X54)
| ~ odd1($uminus(sK14(X54)))
| ~ coprime1(-2,2)
| ~ divides1(-2,X54) ),
inference(resolution,[],[f1218,f1071]) ).
tff(f8639,plain,
( ~ spl16_162
| spl16_168 ),
inference(avatar_split_clause,[],[f8635,f8637,f8611]) ).
tff(f8637,plain,
( spl16_168
<=> ! [X17: $int] :
( ~ odd1(sK14(X17))
| ~ divides1(0,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_168])]) ).
tff(f8635,plain,
! [X17: $int] :
( ~ odd1(sK14(X17))
| ~ coprime1(0,2)
| ~ divides1(0,X17) ),
inference(subsumption_resolution,[],[f8578,f1624]) ).
tff(f8578,plain,
! [X17: $int] :
( ~ odd1(sK14(X17))
| ~ coprime1(0,2)
| ~ even1(X17)
| ~ divides1(0,X17) ),
inference(resolution,[],[f1218,f1629]) ).
tff(f1629,plain,
! [X0: $int] :
( ~ divides1(0,X0)
| ~ odd1(X0) ),
inference(superposition,[],[f1622,f523]) ).
tff(f1622,plain,
! [X16: $int] : ~ odd1($product(X16,0)),
inference(resolution,[],[f1420,f1065]) ).
tff(f8634,plain,
( spl16_167
| ~ spl16_160 ),
inference(avatar_split_clause,[],[f8630,f8603,f8632]) ).
tff(f8632,plain,
( spl16_167
<=> ! [X55: $int] :
( even1($uminus(sK14(X55)))
| ~ divides1(-2,X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_167])]) ).
tff(f8630,plain,
! [X55: $int] :
( ~ coprime1(-2,2)
| even1($uminus(sK14(X55)))
| ~ divides1(-2,X55) ),
inference(subsumption_resolution,[],[f8597,f1066]) ).
tff(f8597,plain,
! [X55: $int] :
( even1($uminus(sK14(X55)))
| ~ divides1(-2,X55)
| ~ even1(X55)
| ~ coprime1(-2,2) ),
inference(resolution,[],[f1218,f1067]) ).
tff(f8629,plain,
( ~ spl16_162
| spl16_166 ),
inference(avatar_split_clause,[],[f8625,f8627,f8611]) ).
tff(f8627,plain,
( spl16_166
<=> ! [X15: $int] :
( ~ divides1(0,X15)
| ~ odd1($uminus(sK14(X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_166])]) ).
tff(f8625,plain,
! [X15: $int] :
( ~ divides1(0,X15)
| ~ odd1($uminus(sK14(X15)))
| ~ coprime1(0,2) ),
inference(subsumption_resolution,[],[f8576,f1624]) ).
tff(f8576,plain,
! [X15: $int] :
( ~ odd1($uminus(sK14(X15)))
| ~ even1(X15)
| ~ divides1(0,X15)
| ~ coprime1(0,2) ),
inference(resolution,[],[f1218,f1652]) ).
tff(f1652,plain,
! [X0: $int] :
( ~ divides1(0,X0)
| ~ odd1($uminus(X0)) ),
inference(superposition,[],[f1618,f523]) ).
tff(f1618,plain,
! [X12: $int] : ~ odd1($uminus($product(X12,0))),
inference(resolution,[],[f1420,f685]) ).
tff(f8624,plain,
( spl16_164
| spl16_165 ),
inference(avatar_split_clause,[],[f8617,f8622,f8619]) ).
tff(f8617,plain,
! [X2: $int,X3: $int] :
( ~ odd1(sK14(X3))
| ~ even1(X3)
| ~ prime1(X2)
| ~ coprime1(X2,2)
| ~ even1(X2) ),
inference(subsumption_resolution,[],[f8570,f727]) ).
tff(f8570,plain,
! [X2: $int,X3: $int] :
( ~ prime1(X2)
| ~ even1(X3)
| ~ odd1(sK14(X3))
| ~ even1(X2)
| ~ coprime1(X2,2)
| ~ divides1(X2,X3) ),
inference(resolution,[],[f1218,f728]) ).
tff(f8616,plain,
( ~ spl16_162
| spl16_163 ),
inference(avatar_split_clause,[],[f8609,f8614,f8611]) ).
tff(f8614,plain,
( spl16_163
<=> ! [X16: $int] :
( even1($uminus(sK14(X16)))
| ~ divides1(0,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_163])]) ).
tff(f8609,plain,
! [X16: $int] :
( even1($uminus(sK14(X16)))
| ~ divides1(0,X16)
| ~ coprime1(0,2) ),
inference(subsumption_resolution,[],[f8577,f1624]) ).
tff(f8577,plain,
! [X16: $int] :
( ~ even1(X16)
| ~ divides1(0,X16)
| ~ coprime1(0,2)
| even1($uminus(sK14(X16))) ),
inference(resolution,[],[f1218,f1645]) ).
tff(f1645,plain,
! [X0: $int] :
( ~ divides1(0,X0)
| even1($uminus(X0)) ),
inference(superposition,[],[f1617,f523]) ).
tff(f1617,plain,
! [X11: $int] : even1($uminus($product(X11,0))),
inference(resolution,[],[f1420,f686]) ).
tff(f8608,plain,
( ~ spl16_160
| spl16_161 ),
inference(avatar_split_clause,[],[f8601,f8606,f8603]) ).
tff(f8606,plain,
( spl16_161
<=> ! [X57: $int] :
( ~ odd1(sK14(X57))
| ~ divides1(-2,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_161])]) ).
tff(f8601,plain,
! [X57: $int] :
( ~ odd1(sK14(X57))
| ~ coprime1(-2,2)
| ~ divides1(-2,X57) ),
inference(subsumption_resolution,[],[f8599,f1066]) ).
tff(f8599,plain,
! [X57: $int] :
( ~ divides1(-2,X57)
| ~ even1(X57)
| ~ odd1(sK14(X57))
| ~ coprime1(-2,2) ),
inference(resolution,[],[f1218,f1065]) ).
tff(f8563,plain,
( spl16_85
| ~ spl16_90 ),
inference(avatar_split_clause,[],[f8562,f4696,f4434]) ).
tff(f4434,plain,
( spl16_85
<=> $less(sK2(3,1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_85])]) ).
tff(f4696,plain,
( spl16_90
<=> lt_nat1(sK2(3,1),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_90])]) ).
tff(f8562,plain,
( $less(sK2(3,1),0)
| ~ spl16_90 ),
inference(resolution,[],[f4697,f575]) ).
tff(f4697,plain,
( lt_nat1(sK2(3,1),0)
| ~ spl16_90 ),
inference(avatar_component_clause,[],[f4696]) ).
tff(f8548,plain,
( spl16_158
| spl16_159
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f8541,f6371,f8546,f8543]) ).
tff(f8543,plain,
( spl16_158
<=> ! [X14: $int] : $less(-1,mod2(X14,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_158])]) ).
tff(f8541,plain,
( ! [X14: $int] :
( ( 0 = abs1(1) )
| $less(-1,mod2(X14,abs1(1))) )
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f8535,f568]) ).
tff(f8535,plain,
( ! [X14: $int] :
( ( 0 = abs1(1) )
| $less(abs1(1),0)
| $less(-1,mod2(X14,abs1(1))) )
| ~ spl16_111 ),
inference(superposition,[],[f989,f6372]) ).
tff(f8525,plain,
( spl16_157
| ~ spl16_154 ),
inference(avatar_split_clause,[],[f8516,f8449,f8523]) ).
tff(f8449,plain,
( spl16_154
<=> $less($uminus(abs1(1)),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_154])]) ).
tff(f8516,plain,
( lt_nat1($uminus(abs1(1)),2)
| ~ spl16_154 ),
inference(evaluation,[],[f8505]) ).
tff(f8505,plain,
( $less(2,0)
| lt_nat1($uminus(abs1(1)),2)
| ~ spl16_154 ),
inference(resolution,[],[f8450,f577]) ).
tff(f8450,plain,
( $less($uminus(abs1(1)),2)
| ~ spl16_154 ),
inference(avatar_component_clause,[],[f8449]) ).
tff(f8521,plain,
( ~ spl16_130
| ~ spl16_4
| ~ spl16_9
| ~ spl16_154 ),
inference(avatar_split_clause,[],[f8520,f8449,f650,f623,f7176]) ).
tff(f7176,plain,
( spl16_130
<=> prime1($uminus(abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_130])]) ).
tff(f8520,plain,
( ~ prime1($uminus(abs1(1)))
| ~ spl16_4
| ~ spl16_9
| ~ spl16_154 ),
inference(subsumption_resolution,[],[f8519,f651]) ).
tff(f8519,plain,
( ~ prime1($uminus(abs1(1)))
| ~ even1(2)
| ~ spl16_4
| ~ spl16_154 ),
inference(subsumption_resolution,[],[f8503,f624]) ).
tff(f8503,plain,
( ~ prime1(2)
| ~ prime1($uminus(abs1(1)))
| ~ even1(2)
| ~ spl16_154 ),
inference(resolution,[],[f8450,f731]) ).
tff(f8517,plain,
( ~ spl16_130
| ~ spl16_154 ),
inference(avatar_split_clause,[],[f8502,f8449,f7176]) ).
tff(f8502,plain,
( ~ prime1($uminus(abs1(1)))
| ~ spl16_154 ),
inference(resolution,[],[f8450,f552]) ).
tff(f8460,plain,
( spl16_154
| spl16_130
| spl16_156
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f8433,f6371,f8458,f7176,f8449]) ).
tff(f8458,plain,
( spl16_156
<=> divides1(sK15(-1),abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_156])]) ).
tff(f8433,plain,
( divides1(sK15(-1),abs1(1))
| prime1($uminus(abs1(1)))
| $less($uminus(abs1(1)),2)
| ~ spl16_111 ),
inference(superposition,[],[f907,f6372]) ).
tff(f8454,plain,
( spl16_130
| spl16_154
| spl16_155
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f8432,f6371,f8452,f8449,f7176]) ).
tff(f8452,plain,
( spl16_155
<=> divides1(sK10(-1),abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_155])]) ).
tff(f8432,plain,
( divides1(sK10(-1),abs1(1))
| $less($uminus(abs1(1)),2)
| prime1($uminus(abs1(1)))
| ~ spl16_111 ),
inference(superposition,[],[f854,f6372]) ).
tff(f8291,plain,
spl16_112,
inference(avatar_contradiction_clause,[],[f8290]) ).
tff(f8290,plain,
( $false
| spl16_112 ),
inference(subsumption_resolution,[],[f8289,f571]) ).
tff(f8289,plain,
( ~ divides1(1,1)
| spl16_112 ),
inference(evaluation,[],[f8288]) ).
tff(f8288,plain,
( ~ divides1(1,1)
| $less(1,0)
| spl16_112 ),
inference(superposition,[],[f6375,f585]) ).
tff(f6375,plain,
( ~ divides1(abs1(1),1)
| spl16_112 ),
inference(avatar_component_clause,[],[f6374]) ).
tff(f6374,plain,
( spl16_112
<=> divides1(abs1(1),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_112])]) ).
tff(f8087,plain,
( spl16_100
| spl16_153 ),
inference(avatar_split_clause,[],[f8083,f8085,f5247]) ).
tff(f5247,plain,
( spl16_100
<=> ! [X0: $int] :
( ~ even1(X0)
| ~ coprime1(2,X0)
| ~ prime1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
tff(f8085,plain,
( spl16_153
<=> ! [X97: $int] :
( odd1(X97)
| divides1(2,sK14(X97)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_153])]) ).
tff(f8083,plain,
! [X96: $int,X97: $int] :
( odd1(X97)
| ~ even1(X96)
| ~ coprime1(2,X96)
| ~ prime1(X96)
| divides1(2,sK14(X97)) ),
inference(subsumption_resolution,[],[f8001,f490]) ).
tff(f8001,plain,
! [X96: $int,X97: $int] :
( divides1(2,sK14(X97))
| ~ even1(X96)
| ~ even1(X97)
| odd1(X97)
| ~ prime1(X96)
| ~ coprime1(2,X96) ),
inference(superposition,[],[f1212,f811]) ).
tff(f1212,plain,
! [X31: $int,X32: $int] :
( odd1($product(X32,X31))
| divides1(2,X31)
| ~ coprime1(2,X32) ),
inference(resolution,[],[f546,f534]) ).
tff(f8082,plain,
( spl16_106
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f8047,f1351,f6129]) ).
tff(f8047,plain,
( ! [X3: $int] : even1(X3)
| ~ spl16_34 ),
inference(resolution,[],[f1352,f518]) ).
tff(f1352,plain,
( ! [X4: $int] : divides1(2,X4)
| ~ spl16_34 ),
inference(avatar_component_clause,[],[f1351]) ).
tff(f8081,plain,
( spl16_92
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f8046,f1351,f5044]) ).
tff(f8046,plain,
( ! [X2: $int] : ~ odd1(X2)
| ~ spl16_34 ),
inference(resolution,[],[f1352,f533]) ).
tff(f8080,plain,
( spl16_92
| ~ spl16_4
| ~ spl16_9
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f8079,f1351,f650,f623,f5044]) ).
tff(f8079,plain,
( ! [X4: $int] : ~ odd1(X4)
| ~ spl16_4
| ~ spl16_9
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f8078,f624]) ).
tff(f8078,plain,
( ! [X4: $int] :
( ~ prime1(2)
| ~ odd1(X4) )
| ~ spl16_9
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f8051,f651]) ).
tff(f8051,plain,
( ! [X4: $int] :
( ~ even1(2)
| ~ prime1(2)
| ~ odd1(X4) )
| ~ spl16_34 ),
inference(resolution,[],[f1352,f728]) ).
tff(f8077,plain,
( spl16_106
| ~ spl16_4
| ~ spl16_9
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f8076,f1351,f650,f623,f6129]) ).
tff(f8076,plain,
( ! [X5: $int] : even1(X5)
| ~ spl16_4
| ~ spl16_9
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f8075,f651]) ).
tff(f8075,plain,
( ! [X5: $int] :
( even1(X5)
| ~ even1(2) )
| ~ spl16_4
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f8052,f624]) ).
tff(f8052,plain,
( ! [X5: $int] :
( ~ prime1(2)
| ~ even1(2)
| even1(X5) )
| ~ spl16_34 ),
inference(resolution,[],[f1352,f726]) ).
tff(f8073,plain,
~ spl16_34,
inference(avatar_contradiction_clause,[],[f8072]) ).
tff(f8072,plain,
( $false
| ~ spl16_34 ),
inference(evaluation,[],[f8062]) ).
tff(f8062,plain,
( ( 1 = 2 )
| ( 2 = -1 )
| ~ spl16_34 ),
inference(resolution,[],[f1352,f609]) ).
tff(f8071,plain,
( ~ spl16_34
| spl16_91 ),
inference(avatar_contradiction_clause,[],[f8049]) ).
tff(f8049,plain,
( $false
| ~ spl16_34
| spl16_91 ),
inference(resolution,[],[f1352,f5040]) ).
tff(f5040,plain,
( ~ divides1(2,1)
| spl16_91 ),
inference(avatar_component_clause,[],[f5039]) ).
tff(f5039,plain,
( spl16_91
<=> divides1(2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_91])]) ).
tff(f8070,plain,
( ~ spl16_34
| spl16_133 ),
inference(avatar_contradiction_clause,[],[f8048]) ).
tff(f8048,plain,
( $false
| ~ spl16_34
| spl16_133 ),
inference(resolution,[],[f1352,f7257]) ).
tff(f7257,plain,
( ~ divides1(2,abs1(1))
| spl16_133 ),
inference(avatar_component_clause,[],[f7256]) ).
tff(f7256,plain,
( spl16_133
<=> divides1(2,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_133])]) ).
tff(f8068,plain,
( ~ spl16_34
| spl16_78 ),
inference(avatar_contradiction_clause,[],[f8050]) ).
tff(f8050,plain,
( $false
| ~ spl16_34
| spl16_78 ),
inference(resolution,[],[f1352,f5290]) ).
tff(f7959,plain,
( spl16_150
| ~ spl16_151
| ~ spl16_152
| spl16_6 ),
inference(avatar_split_clause,[],[f7910,f630,f7957,f7954,f7951]) ).
tff(f7954,plain,
( spl16_151
<=> ( $sum(sK11,$uminus(sK12)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_151])]) ).
tff(f7957,plain,
( spl16_152
<=> divides1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_152])]) ).
tff(f7910,plain,
( ~ divides1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))
| ( $sum(sK11,$uminus(sK12)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| $less($sum(sK11,$uminus(sK12)),0)
| spl16_6 ),
inference(superposition,[],[f631,f2223]) ).
tff(f7804,plain,
( spl16_120
| spl16_133 ),
inference(avatar_split_clause,[],[f7270,f7256,f6560]) ).
tff(f7270,plain,
( odd1(abs1(1))
| spl16_133 ),
inference(resolution,[],[f7257,f534]) ).
tff(f7803,plain,
( spl16_120
| ~ spl16_4
| ~ spl16_9
| spl16_133 ),
inference(avatar_split_clause,[],[f7802,f7256,f650,f623,f6560]) ).
tff(f7802,plain,
( odd1(abs1(1))
| ~ spl16_4
| ~ spl16_9
| spl16_133 ),
inference(subsumption_resolution,[],[f7801,f624]) ).
tff(f7801,plain,
( ~ prime1(2)
| odd1(abs1(1))
| ~ spl16_9
| spl16_133 ),
inference(subsumption_resolution,[],[f7273,f651]) ).
tff(f7273,plain,
( ~ even1(2)
| odd1(abs1(1))
| ~ prime1(2)
| spl16_133 ),
inference(resolution,[],[f7257,f729]) ).
tff(f7800,plain,
( spl16_120
| spl16_128 ),
inference(avatar_split_clause,[],[f7192,f7168,f6560]) ).
tff(f7168,plain,
( spl16_128
<=> even1($uminus(abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_128])]) ).
tff(f7192,plain,
( odd1(abs1(1))
| spl16_128 ),
inference(resolution,[],[f7169,f820]) ).
tff(f820,plain,
! [X0: $int] :
( even1($uminus(X0))
| odd1(X0) ),
inference(resolution,[],[f788,f490]) ).
tff(f788,plain,
! [X0: $int] :
( ~ odd1($uminus(X0))
| odd1(X0) ),
inference(resolution,[],[f685,f534]) ).
tff(f7169,plain,
( ~ even1($uminus(abs1(1)))
| spl16_128 ),
inference(avatar_component_clause,[],[f7168]) ).
tff(f7799,plain,
( spl16_129
| spl16_133 ),
inference(avatar_split_clause,[],[f7269,f7256,f7172]) ).
tff(f7172,plain,
( spl16_129
<=> odd1($uminus(abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_129])]) ).
tff(f7269,plain,
( odd1($uminus(abs1(1)))
| spl16_133 ),
inference(resolution,[],[f7257,f719]) ).
tff(f7796,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7763]) ).
tff(f7763,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f566]) ).
tff(f7513,plain,
( ! [X92: $int] : ~ divides1(0,X92)
| ~ spl16_139 ),
inference(avatar_component_clause,[],[f7512]) ).
tff(f7795,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7781]) ).
tff(f7781,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f689]) ).
tff(f7794,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7767]) ).
tff(f7767,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f466]) ).
tff(f7793,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7774]) ).
tff(f7774,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f692]) ).
tff(f7791,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7777]) ).
tff(f7777,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f691]) ).
tff(f7790,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7776]) ).
tff(f7776,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f1419]) ).
tff(f7789,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7766]) ).
tff(f7766,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f564]) ).
tff(f7788,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7773]) ).
tff(f7773,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f1420]) ).
tff(f7787,plain,
~ spl16_139,
inference(avatar_contradiction_clause,[],[f7768]) ).
tff(f7768,plain,
( $false
| ~ spl16_139 ),
inference(resolution,[],[f7513,f605]) ).
tff(f7760,plain,
( ~ spl16_147
| spl16_148
| ~ spl16_149
| spl16_6 ),
inference(avatar_split_clause,[],[f7699,f630,f7758,f7755,f7752]) ).
tff(f7752,plain,
( spl16_147
<=> divides1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_147])]) ).
tff(f7699,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != $sum($product(2,sK12),1) )
| $less($sum($product(2,sK12),1),0)
| ~ divides1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12)))
| spl16_6 ),
inference(superposition,[],[f631,f2214]) ).
tff(f7591,plain,
( ~ spl16_137
| spl16_136 ),
inference(avatar_split_clause,[],[f7590,f7496,f7499]) ).
tff(f7499,plain,
( spl16_137
<=> divides1(0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_137])]) ).
tff(f7496,plain,
( spl16_136
<=> ! [X119: $int] : ( 0 = gcd1(X119,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_136])]) ).
tff(f7590,plain,
! [X36: $int] :
( ( 0 = gcd1(X36,1) )
| ~ divides1(0,1) ),
inference(subsumption_resolution,[],[f7363,f564]) ).
tff(f7363,plain,
! [X36: $int] :
( ( 0 = gcd1(X36,1) )
| ~ divides1(0,0)
| ~ divides1(0,1) ),
inference(superposition,[],[f2212,f1597]) ).
tff(f7589,plain,
( ~ spl16_137
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f7588,f2675,f7499]) ).
tff(f2675,plain,
( spl16_66
<=> ( 1 = gcd1(1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_66])]) ).
tff(f7588,plain,
( ~ divides1(0,1)
| ~ spl16_66 ),
inference(subsumption_resolution,[],[f7475,f564]) ).
tff(f7475,plain,
( ~ divides1(0,0)
| ~ divides1(0,1)
| ~ spl16_66 ),
inference(evaluation,[],[f7362]) ).
tff(f7362,plain,
( ( 0 = 1 )
| ~ divides1(0,1)
| ~ divides1(0,0)
| ~ spl16_66 ),
inference(superposition,[],[f2212,f2676]) ).
tff(f2676,plain,
( ( 1 = gcd1(1,0) )
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f2675]) ).
tff(f7587,plain,
( spl16_145
| ~ spl16_137
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7586,f2687,f7499,f7567]) ).
tff(f7586,plain,
( ~ divides1(0,1)
| ( 0 = gcd1(1,0) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7454,f4161]) ).
tff(f7454,plain,
! [X142: $int] :
( ( 0 = gcd1(1,0) )
| ~ divides1(0,X142)
| ~ divides1(0,1) ),
inference(superposition,[],[f1597,f2212]) ).
tff(f7585,plain,
( spl16_139
| spl16_146 ),
inference(avatar_split_clause,[],[f7416,f7583,f7512]) ).
tff(f7583,plain,
( spl16_146
<=> ! [X72: $int,X74: $int] :
( divides1(gcd1(X74,0),gcd1(X74,X72))
| ~ divides1(0,X72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_146])]) ).
tff(f7416,plain,
! [X72: $int,X73: $int,X74: $int] :
( divides1(gcd1(X74,0),gcd1(X74,X72))
| ~ divides1(0,X73)
| ~ divides1(0,X72) ),
inference(superposition,[],[f1254,f2212]) ).
tff(f1254,plain,
! [X18: $int,X19: $int,X20: $int] : divides1(gcd1(X18,gcd1(X19,X20)),gcd1(X18,X19)),
inference(superposition,[],[f595,f547]) ).
tff(f7581,plain,
( ~ spl16_137
| spl16_12
| ~ spl16_68
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f7580,f3218,f2687,f667,f7499]) ).
tff(f7580,plain,
( ~ divides1(0,1)
| spl16_12
| ~ spl16_68
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7579,f4161]) ).
tff(f7579,plain,
( ! [X4: $int] :
( ~ divides1(0,1)
| ~ divides1(0,X4) )
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7383,f668]) ).
tff(f7383,plain,
( ! [X4: $int] :
( ~ divides1(0,X4)
| odd1(0)
| ~ divides1(0,1) )
| ~ spl16_77 ),
inference(superposition,[],[f3383,f2212]) ).
tff(f3383,plain,
( ! [X4: $int] : odd1(gcd1(1,X4))
| ~ spl16_77 ),
inference(superposition,[],[f3219,f520]) ).
tff(f7578,plain,
( ~ spl16_137
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7577,f2687,f7499]) ).
tff(f7577,plain,
( ~ divides1(0,1)
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7477,f4161]) ).
tff(f7477,plain,
! [X2: $int] :
( ~ divides1(0,X2)
| ~ divides1(0,1) ),
inference(evaluation,[],[f7345]) ).
tff(f7345,plain,
! [X2: $int] :
( ~ divides1(0,1)
| ( 0 = 1 )
| ~ divides1(0,X2) ),
inference(superposition,[],[f2212,f3063]) ).
tff(f7576,plain,
( ~ spl16_137
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7575,f2687,f7499]) ).
tff(f7575,plain,
( ~ divides1(0,1)
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7478,f4161]) ).
tff(f7478,plain,
! [X144: $int] :
( ~ divides1(0,X144)
| ~ divides1(0,1) ),
inference(evaluation,[],[f7456]) ).
tff(f7456,plain,
! [X144: $int] :
( ~ divides1(0,1)
| ( 0 = 1 )
| ~ divides1(0,X144) ),
inference(superposition,[],[f2670,f2212]) ).
tff(f7574,plain,
~ spl16_138,
inference(avatar_split_clause,[],[f7573,f7505]) ).
tff(f7505,plain,
( spl16_138
<=> divides1(0,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_138])]) ).
tff(f7573,plain,
~ divides1(0,-1),
inference(subsumption_resolution,[],[f7479,f4690]) ).
tff(f7479,plain,
! [X67: $int] :
( ~ divides1(0,X67)
| ~ divides1(0,-1) ),
inference(evaluation,[],[f7378]) ).
tff(f7378,plain,
! [X67: $int] :
( ~ divides1(0,X67)
| ~ divides1(0,-1)
| ( 0 = 1 ) ),
inference(superposition,[],[f2212,f4300]) ).
tff(f7572,plain,
( ~ spl16_137
| spl16_12
| ~ spl16_68
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f7571,f3218,f2687,f667,f7499]) ).
tff(f7571,plain,
( ~ divides1(0,1)
| spl16_12
| ~ spl16_68
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7570,f4161]) ).
tff(f7570,plain,
( ! [X147: $int] :
( ~ divides1(0,1)
| ~ divides1(0,X147) )
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7458,f668]) ).
tff(f7458,plain,
( ! [X147: $int] :
( ~ divides1(0,X147)
| ~ divides1(0,1)
| odd1(0) )
| ~ spl16_77 ),
inference(superposition,[],[f3219,f2212]) ).
tff(f7569,plain,
( ~ spl16_137
| spl16_145
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7565,f2687,f7567,f7499]) ).
tff(f7565,plain,
( ( 0 = gcd1(1,0) )
| ~ divides1(0,1)
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7373,f4161]) ).
tff(f7373,plain,
! [X56: $int] :
( ( 0 = gcd1(1,0) )
| ~ divides1(0,X56)
| ~ divides1(0,1) ),
inference(superposition,[],[f2212,f1597]) ).
tff(f7564,plain,
~ spl16_138,
inference(avatar_split_clause,[],[f7563,f7505]) ).
tff(f7563,plain,
~ divides1(0,-1),
inference(subsumption_resolution,[],[f7481,f4690]) ).
tff(f7481,plain,
! [X3: $int] :
( ~ divides1(0,-1)
| ~ divides1(0,X3) ),
inference(evaluation,[],[f7346]) ).
tff(f7346,plain,
! [X3: $int] :
( ~ divides1(0,-1)
| ( 0 = 1 )
| ~ divides1(0,X3) ),
inference(superposition,[],[f2212,f4636]) ).
tff(f7562,plain,
( ~ spl16_137
| ~ spl16_10
| spl16_81 ),
inference(avatar_split_clause,[],[f7561,f3275,f654,f7499]) ).
tff(f3275,plain,
( spl16_81
<=> even1(gcd1(1,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_81])]) ).
tff(f7561,plain,
( ~ divides1(0,1)
| ~ spl16_10
| spl16_81 ),
inference(subsumption_resolution,[],[f7560,f655]) ).
tff(f7560,plain,
( ~ even1(0)
| ~ divides1(0,1)
| spl16_81 ),
inference(subsumption_resolution,[],[f7438,f564]) ).
tff(f7438,plain,
( ~ divides1(0,1)
| ~ divides1(0,0)
| ~ even1(0)
| spl16_81 ),
inference(superposition,[],[f3276,f2212]) ).
tff(f3276,plain,
( ~ even1(gcd1(1,0))
| spl16_81 ),
inference(avatar_component_clause,[],[f3275]) ).
tff(f7559,plain,
( ~ spl16_137
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7558,f2687,f7499]) ).
tff(f7558,plain,
( ~ divides1(0,1)
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7482,f4161]) ).
tff(f7482,plain,
! [X3: $int] :
( ~ divides1(0,X3)
| ~ divides1(0,1) ),
inference(evaluation,[],[f7382]) ).
tff(f7382,plain,
! [X3: $int] :
( ~ divides1(0,X3)
| ( 0 = 1 )
| ~ divides1(0,1) ),
inference(superposition,[],[f3063,f2212]) ).
tff(f7557,plain,
( ~ spl16_137
| spl16_12
| ~ spl16_79 ),
inference(avatar_split_clause,[],[f7556,f3225,f667,f7499]) ).
tff(f3225,plain,
( spl16_79
<=> odd1(gcd1(1,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_79])]) ).
tff(f7556,plain,
( ~ divides1(0,1)
| spl16_12
| ~ spl16_79 ),
inference(subsumption_resolution,[],[f7555,f668]) ).
tff(f7555,plain,
( odd1(0)
| ~ divides1(0,1)
| ~ spl16_79 ),
inference(subsumption_resolution,[],[f7439,f564]) ).
tff(f7439,plain,
( ~ divides1(0,1)
| ~ divides1(0,0)
| odd1(0)
| ~ spl16_79 ),
inference(superposition,[],[f3226,f2212]) ).
tff(f3226,plain,
( odd1(gcd1(1,0))
| ~ spl16_79 ),
inference(avatar_component_clause,[],[f3225]) ).
tff(f7554,plain,
( ~ spl16_142
| ~ spl16_143
| ~ spl16_144
| spl16_6 ),
inference(avatar_split_clause,[],[f7451,f630,f7552,f7549,f7546]) ).
tff(f7546,plain,
( spl16_142
<=> ( 0 = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_142])]) ).
tff(f7451,plain,
( ~ divides1(0,$sum(sK11,$uminus(sK12)))
| ~ divides1(0,$sum($product(2,sK12),1))
| ( 0 != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_6 ),
inference(superposition,[],[f631,f2212]) ).
tff(f7544,plain,
( ~ spl16_137
| ~ spl16_10
| ~ spl16_68
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f7543,f3271,f2687,f654,f7499]) ).
tff(f7543,plain,
( ~ divides1(0,1)
| ~ spl16_10
| ~ spl16_68
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7542,f4161]) ).
tff(f7542,plain,
( ! [X5: $int] :
( ~ divides1(0,X5)
| ~ divides1(0,1) )
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7384,f655]) ).
tff(f7384,plain,
( ! [X5: $int] :
( ~ divides1(0,1)
| ~ even1(0)
| ~ divides1(0,X5) )
| ~ spl16_80 ),
inference(superposition,[],[f3424,f2212]) ).
tff(f7539,plain,
( ~ spl16_137
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f7538,f2687,f7499]) ).
tff(f7538,plain,
( ~ divides1(0,1)
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f7483,f4161]) ).
tff(f7483,plain,
! [X55: $int] :
( ~ divides1(0,1)
| ~ divides1(0,X55) ),
inference(evaluation,[],[f7372]) ).
tff(f7372,plain,
! [X55: $int] :
( ~ divides1(0,X55)
| ~ divides1(0,1)
| ( 0 = 1 ) ),
inference(superposition,[],[f2212,f2670]) ).
tff(f7537,plain,
~ spl16_138,
inference(avatar_split_clause,[],[f7536,f7505]) ).
tff(f7536,plain,
~ divides1(0,-1),
inference(subsumption_resolution,[],[f7484,f4690]) ).
tff(f7484,plain,
! [X172: $int] :
( ~ divides1(0,X172)
| ~ divides1(0,-1) ),
inference(evaluation,[],[f7471]) ).
tff(f7471,plain,
! [X172: $int] :
( ( 0 = 1 )
| ~ divides1(0,X172)
| ~ divides1(0,-1) ),
inference(superposition,[],[f4300,f2212]) ).
tff(f7535,plain,
( ~ spl16_137
| ~ spl16_10
| ~ spl16_68
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f7534,f3271,f2687,f654,f7499]) ).
tff(f7534,plain,
( ~ divides1(0,1)
| ~ spl16_10
| ~ spl16_68
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7533,f4161]) ).
tff(f7533,plain,
( ! [X148: $int] :
( ~ divides1(0,X148)
| ~ divides1(0,1) )
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7459,f655]) ).
tff(f7459,plain,
( ! [X148: $int] :
( ~ divides1(0,X148)
| ~ even1(0)
| ~ divides1(0,1) )
| ~ spl16_80 ),
inference(superposition,[],[f3272,f2212]) ).
tff(f7532,plain,
( ~ spl16_137
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f7531,f2675,f7499]) ).
tff(f7531,plain,
( ~ divides1(0,1)
| ~ spl16_66 ),
inference(subsumption_resolution,[],[f7486,f564]) ).
tff(f7486,plain,
( ~ divides1(0,1)
| ~ divides1(0,0)
| ~ spl16_66 ),
inference(evaluation,[],[f7440]) ).
tff(f7440,plain,
( ( 0 = 1 )
| ~ divides1(0,0)
| ~ divides1(0,1)
| ~ spl16_66 ),
inference(superposition,[],[f2676,f2212]) ).
tff(f7530,plain,
( ~ spl16_138
| ~ spl16_10
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f7529,f3271,f654,f7505]) ).
tff(f7529,plain,
( ~ divides1(0,-1)
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7528,f4690]) ).
tff(f7528,plain,
( ! [X13: $int] :
( ~ divides1(0,-1)
| ~ divides1(0,X13) )
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7390,f655]) ).
tff(f7390,plain,
( ! [X13: $int] :
( ~ divides1(0,X13)
| ~ divides1(0,-1)
| ~ even1(0) )
| ~ spl16_80 ),
inference(superposition,[],[f3678,f2212]) ).
tff(f7526,plain,
( ~ spl16_138
| spl16_12
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f7525,f3218,f667,f7505]) ).
tff(f7525,plain,
( ~ divides1(0,-1)
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7524,f4690]) ).
tff(f7524,plain,
( ! [X174: $int] :
( ~ divides1(0,-1)
| ~ divides1(0,X174) )
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7473,f668]) ).
tff(f7473,plain,
( ! [X174: $int] :
( ~ divides1(0,X174)
| ~ divides1(0,-1)
| odd1(0) )
| ~ spl16_77 ),
inference(superposition,[],[f3628,f2212]) ).
tff(f3628,plain,
( ! [X5: $int] : odd1(gcd1(X5,-1))
| ~ spl16_77 ),
inference(evaluation,[],[f3614]) ).
tff(f3614,plain,
( ! [X5: $int] : odd1(gcd1(X5,$uminus(1)))
| ~ spl16_77 ),
inference(superposition,[],[f3383,f754]) ).
tff(f7523,plain,
( spl16_139
| spl16_141 ),
inference(avatar_split_clause,[],[f7467,f7521,f7512]) ).
tff(f7521,plain,
( spl16_141
<=> ! [X166: $int,X165: $int] :
( divides1(0,X166)
| ~ divides1(0,gcd1(X165,X166)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_141])]) ).
tff(f7467,plain,
! [X166: $int,X164: $int,X165: $int] :
( divides1(0,X166)
| ~ divides1(0,X164)
| ~ divides1(0,gcd1(X165,X166)) ),
inference(superposition,[],[f1248,f2212]) ).
tff(f1248,plain,
! [X2: $int,X0: $int,X1: $int] : divides1(gcd1(X0,gcd1(X1,X2)),X2),
inference(superposition,[],[f505,f547]) ).
tff(f7519,plain,
~ spl16_138,
inference(avatar_split_clause,[],[f7518,f7505]) ).
tff(f7518,plain,
~ divides1(0,-1),
inference(subsumption_resolution,[],[f7492,f4690]) ).
tff(f7492,plain,
! [X12: $int] :
( ~ divides1(0,X12)
| ~ divides1(0,-1) ),
inference(evaluation,[],[f7389]) ).
tff(f7389,plain,
! [X12: $int] :
( ~ divides1(0,X12)
| ( 0 = 1 )
| ~ divides1(0,-1) ),
inference(superposition,[],[f4636,f2212]) ).
tff(f7517,plain,
( spl16_139
| spl16_139
| spl16_140 ),
inference(avatar_split_clause,[],[f7424,f7515,f7512,f7512]) ).
tff(f7515,plain,
( spl16_140
<=> ! [X93: $int] :
( ~ $less($product(X93,0),0)
| $less(X93,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_140])]) ).
tff(f7424,plain,
! [X91: $int,X92: $int,X93: $int] :
( ~ $less($product(X93,0),0)
| ~ divides1(0,X91)
| $less(X93,0)
| ~ divides1(0,X92) ),
inference(superposition,[],[f1883,f2212]) ).
tff(f1883,plain,
! [X34: $int,X32: $int,X33: $int] :
( ~ $less($product(X32,gcd1(X33,X34)),0)
| $less(X32,0) ),
inference(superposition,[],[f579,f456]) ).
tff(f456,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( gcd1($product(X1,X2),$product(X1,X0)) = $product(X1,gcd1(X2,X0)) )
| $less(X1,0) ),
inference(cnf_transformation,[],[f369]) ).
tff(f369,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X1,0)
| ( gcd1($product(X1,X2),$product(X1,X0)) = $product(X1,gcd1(X2,X0)) ) ),
inference(rectify,[],[f355]) ).
tff(f355,plain,
! [X0: $int,X2: $int,X1: $int] :
( $less(X2,0)
| ( $product(X2,gcd1(X1,X0)) = gcd1($product(X2,X1),$product(X2,X0)) ) ),
inference(ennf_transformation,[],[f158]) ).
tff(f158,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less(X2,0)
=> ( $product(X2,gcd1(X1,X0)) = gcd1($product(X2,X1),$product(X2,X0)) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
! [X18: $int,X0: $int,X19: $int] :
( ~ $less(X19,0)
=> ( gcd1($product(X19,X0),$product(X19,X18)) = $product(X19,gcd1(X0,X18)) ) ),
inference(theory_normalization,[],[f94]) ).
tff(f94,axiom,
! [X18: $int,X0: $int,X19: $int] :
( $lesseq(0,X19)
=> ( gcd1($product(X19,X0),$product(X19,X18)) = $product(X19,gcd1(X0,X18)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_mult) ).
tff(f7510,plain,
( ~ spl16_138
| spl16_12
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f7509,f3218,f667,f7505]) ).
tff(f7509,plain,
( ~ divides1(0,-1)
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7508,f4690]) ).
tff(f7508,plain,
( ! [X14: $int] :
( ~ divides1(0,X14)
| ~ divides1(0,-1) )
| spl16_12
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f7391,f668]) ).
tff(f7391,plain,
( ! [X14: $int] :
( ~ divides1(0,-1)
| ~ divides1(0,X14)
| odd1(0) )
| ~ spl16_77 ),
inference(superposition,[],[f3654,f2212]) ).
tff(f3654,plain,
( ! [X1: $int] : odd1(gcd1(-1,X1))
| ~ spl16_77 ),
inference(superposition,[],[f3628,f520]) ).
tff(f7507,plain,
( ~ spl16_138
| ~ spl16_10
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f7503,f3271,f654,f7505]) ).
tff(f7503,plain,
( ~ divides1(0,-1)
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7502,f4690]) ).
tff(f7502,plain,
( ! [X173: $int] :
( ~ divides1(0,-1)
| ~ divides1(0,X173) )
| ~ spl16_10
| ~ spl16_80 ),
inference(subsumption_resolution,[],[f7472,f655]) ).
tff(f7472,plain,
( ! [X173: $int] :
( ~ even1(0)
| ~ divides1(0,-1)
| ~ divides1(0,X173) )
| ~ spl16_80 ),
inference(superposition,[],[f3650,f2212]) ).
tff(f7501,plain,
( spl16_136
| ~ spl16_137 ),
inference(avatar_split_clause,[],[f7494,f7499,f7496]) ).
tff(f7494,plain,
! [X119: $int] :
( ~ divides1(0,1)
| ( 0 = gcd1(X119,1) ) ),
inference(subsumption_resolution,[],[f7442,f564]) ).
tff(f7442,plain,
! [X119: $int] :
( ( 0 = gcd1(X119,1) )
| ~ divides1(0,1)
| ~ divides1(0,0) ),
inference(superposition,[],[f1597,f2212]) ).
tff(f7308,plain,
( spl16_135
| ~ spl16_107 ),
inference(avatar_split_clause,[],[f7300,f6133,f7306]) ).
tff(f7306,plain,
( spl16_135
<=> lt_nat1($uminus(abs1(-1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_135])]) ).
tff(f7300,plain,
( lt_nat1($uminus(abs1(-1)),0)
| ~ spl16_107 ),
inference(evaluation,[],[f7291]) ).
tff(f7291,plain,
( lt_nat1($uminus(abs1(-1)),0)
| $less(0,0)
| ~ spl16_107 ),
inference(resolution,[],[f6134,f577]) ).
tff(f7303,plain,
( spl16_110
| ~ spl16_107 ),
inference(avatar_split_clause,[],[f7302,f6133,f6143]) ).
tff(f7302,plain,
( ( $uminus(abs1(-1)) = -1 )
| ~ spl16_107 ),
inference(subsumption_resolution,[],[f7301,f5699]) ).
tff(f7301,plain,
( ~ divides1(abs1(-1),1)
| ( $uminus(abs1(-1)) = -1 )
| ~ spl16_107 ),
inference(evaluation,[],[f7294]) ).
tff(f7294,plain,
( ~ divides1(abs1(-1),1)
| ( $uminus(abs1(-1)) = -1 )
| $less(1,0)
| ~ spl16_107 ),
inference(superposition,[],[f6134,f910]) ).
tff(f7261,plain,
( ~ spl16_133
| spl16_134
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7254,f6371,f7259,f7256]) ).
tff(f7254,plain,
( ! [X14: $int] :
( ~ odd1($sum(X14,-1))
| ~ divides1(2,abs1(1)) )
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f7246,f6563]) ).
tff(f6563,plain,
( ! [X19: $int,X20: $int] :
( divides1(X20,X19)
| ~ divides1(X20,abs1(1)) )
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6544,f2761]) ).
tff(f6544,plain,
( ! [X19: $int,X20: $int] :
( ~ divides1(-1,X19)
| divides1(X20,X19)
| ~ divides1(X20,abs1(1)) )
| ~ spl16_111 ),
inference(superposition,[],[f828,f6372]) ).
tff(f7246,plain,
( ! [X14: $int] :
( ~ odd1($sum(X14,-1))
| ~ divides1(2,X14)
| ~ divides1(2,abs1(1)) )
| ~ spl16_111 ),
inference(superposition,[],[f1606,f6372]) ).
tff(f7253,plain,
( spl16_131
| spl16_132 ),
inference(avatar_split_clause,[],[f7240,f7251,f7248]) ).
tff(f7248,plain,
( spl16_131
<=> ! [X0: $int] :
( ~ divides1(2,X0)
| ~ divides1(X0,1)
| ( $uminus(X0) = -1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_131])]) ).
tff(f7251,plain,
( spl16_132
<=> ! [X1: $int] :
( ~ odd1($sum(X1,1))
| ~ divides1(2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_132])]) ).
tff(f7240,plain,
! [X0: $int,X1: $int] :
( ~ odd1($sum(X1,1))
| ~ divides1(2,X1)
| ~ divides1(2,X0)
| ( $uminus(X0) = -1 )
| ~ divides1(X0,1) ),
inference(superposition,[],[f1606,f910]) ).
tff(f7179,plain,
( spl16_106
| ~ spl16_130
| ~ spl16_128
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7133,f6371,f7168,f7176,f6129]) ).
tff(f7133,plain,
( ! [X5: $int] :
( ~ even1($uminus(abs1(1)))
| ~ prime1($uminus(abs1(1)))
| even1(X5) )
| ~ spl16_111 ),
inference(resolution,[],[f6652,f726]) ).
tff(f6652,plain,
( ! [X13: $int] : divides1($uminus(abs1(1)),X13)
| ~ spl16_111 ),
inference(resolution,[],[f6564,f717]) ).
tff(f6564,plain,
( ! [X6: $int] : divides1(abs1(1),X6)
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6523,f2761]) ).
tff(f6523,plain,
( ! [X6: $int] :
( divides1(abs1(1),X6)
| ~ divides1(-1,X6) )
| ~ spl16_111 ),
inference(superposition,[],[f515,f6372]) ).
tff(f7178,plain,
( ~ spl16_128
| ~ spl16_130
| spl16_92
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7132,f6371,f5044,f7176,f7168]) ).
tff(f7132,plain,
( ! [X4: $int] :
( ~ odd1(X4)
| ~ prime1($uminus(abs1(1)))
| ~ even1($uminus(abs1(1))) )
| ~ spl16_111 ),
inference(resolution,[],[f6652,f728]) ).
tff(f7174,plain,
( spl16_34
| spl16_129
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7135,f6371,f7172,f1351]) ).
tff(f7135,plain,
( ! [X7: $int] :
( odd1($uminus(abs1(1)))
| divides1(2,X7) )
| ~ spl16_111 ),
inference(resolution,[],[f6652,f833]) ).
tff(f7170,plain,
( spl16_34
| ~ spl16_128
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7134,f6371,f7168,f1351]) ).
tff(f7134,plain,
( ! [X6: $int] :
( ~ even1($uminus(abs1(1)))
| divides1(2,X6) )
| ~ spl16_111 ),
inference(resolution,[],[f6652,f834]) ).
tff(f7166,plain,
( ~ spl16_126
| spl16_127
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f7136,f6371,f7164,f7161]) ).
tff(f7161,plain,
( spl16_126
<=> $less(1,$uminus(abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_126])]) ).
tff(f7164,plain,
( spl16_127
<=> ! [X8: $int] :
( ~ $less($uminus(abs1(1)),X8)
| ~ prime1(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_127])]) ).
tff(f7136,plain,
( ! [X8: $int] :
( ~ $less($uminus(abs1(1)),X8)
| ~ prime1(X8)
| ~ $less(1,$uminus(abs1(1))) )
| ~ spl16_111 ),
inference(resolution,[],[f6652,f551]) ).
tff(f6673,plain,
( spl16_124
| spl16_125
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6654,f6371,f6671,f6668]) ).
tff(f6654,plain,
( ( abs1(1) = -1 )
| ( 1 = abs1(1) )
| ~ spl16_111 ),
inference(resolution,[],[f6564,f609]) ).
tff(f6666,plain,
( ~ spl16_122
| spl16_123
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6647,f6371,f6664,f6661]) ).
tff(f6661,plain,
( spl16_122
<=> $less(1,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_122])]) ).
tff(f6664,plain,
( spl16_123
<=> ! [X5: $int] :
( ~ $less(abs1(1),X5)
| ~ prime1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_123])]) ).
tff(f6647,plain,
( ! [X5: $int] :
( ~ $less(abs1(1),X5)
| ~ prime1(X5)
| ~ $less(1,abs1(1)) )
| ~ spl16_111 ),
inference(resolution,[],[f6564,f551]) ).
tff(f6573,plain,
( spl16_120
| spl16_27
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6572,f6371,f1144,f6560]) ).
tff(f1144,plain,
( spl16_27
<=> even1(-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
tff(f6572,plain,
( odd1(abs1(1))
| spl16_27
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6543,f1145]) ).
tff(f1145,plain,
( ~ even1(-1)
| spl16_27 ),
inference(avatar_component_clause,[],[f1144]) ).
tff(f6543,plain,
( even1(-1)
| odd1(abs1(1))
| ~ spl16_111 ),
inference(superposition,[],[f820,f6372]) ).
tff(f6571,plain,
( ~ spl16_121
| ~ spl16_23
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6570,f6371,f1113,f6567]) ).
tff(f1113,plain,
( spl16_23
<=> odd1(-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
tff(f6570,plain,
( ~ even1(abs1(1))
| ~ spl16_23
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6542,f1114]) ).
tff(f1114,plain,
( odd1(-1)
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f1113]) ).
tff(f6542,plain,
( ~ odd1(-1)
| ~ even1(abs1(1))
| ~ spl16_111 ),
inference(superposition,[],[f789,f6372]) ).
tff(f789,plain,
! [X1: $int] :
( ~ odd1($uminus(X1))
| ~ even1(X1) ),
inference(resolution,[],[f685,f519]) ).
tff(f6569,plain,
( ~ spl16_121
| spl16_27
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6565,f6371,f1144,f6567]) ).
tff(f6565,plain,
( ~ even1(abs1(1))
| spl16_27
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6546,f1145]) ).
tff(f6546,plain,
( even1(-1)
| ~ even1(abs1(1))
| ~ spl16_111 ),
inference(superposition,[],[f840,f6372]) ).
tff(f840,plain,
! [X0: $int] :
( even1($uminus(X0))
| ~ even1(X0) ),
inference(resolution,[],[f789,f490]) ).
tff(f6562,plain,
( spl16_120
| ~ spl16_23
| ~ spl16_111 ),
inference(avatar_split_clause,[],[f6558,f6371,f1113,f6560]) ).
tff(f6558,plain,
( odd1(abs1(1))
| ~ spl16_23
| ~ spl16_111 ),
inference(subsumption_resolution,[],[f6541,f1114]) ).
tff(f6541,plain,
( ~ odd1(-1)
| odd1(abs1(1))
| ~ spl16_111 ),
inference(superposition,[],[f788,f6372]) ).
tff(f6429,plain,
( ~ spl16_118
| spl16_119
| ~ spl16_101 ),
inference(avatar_split_clause,[],[f6418,f6109,f6427,f6424]) ).
tff(f6427,plain,
( spl16_119
<=> ! [X0: $int] :
( ( abs1(-1) = X0 )
| ( -1 = X0 )
| odd1(X0)
| ~ divides1(X0,abs1(-1))
| ( 1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_119])]) ).
tff(f6418,plain,
( ! [X0: $int] :
( ( abs1(-1) = X0 )
| ( 1 = X0 )
| ~ divides1(X0,abs1(-1))
| odd1(X0)
| ~ prime1(abs1(-1))
| ( -1 = X0 ) )
| ~ spl16_101 ),
inference(superposition,[],[f6110,f608]) ).
tff(f6401,plain,
( spl16_111
| ~ spl16_112
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f6361,f1133,f6374,f6371]) ).
tff(f1133,plain,
( spl16_24
<=> $less($uminus(abs1(1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
tff(f6361,plain,
( ~ divides1(abs1(1),1)
| ( -1 = $uminus(abs1(1)) )
| ~ spl16_24 ),
inference(evaluation,[],[f6351]) ).
tff(f6351,plain,
( $less(1,1)
| ( -1 = $uminus(abs1(1)) )
| ~ divides1(abs1(1),1)
| ~ spl16_24 ),
inference(superposition,[],[f1134,f910]) ).
tff(f1134,plain,
( $less($uminus(abs1(1)),1)
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f1133]) ).
tff(f6400,plain,
( ~ spl16_116
| spl16_114
| ~ spl16_87 ),
inference(avatar_split_clause,[],[f6362,f4494,f6386,f6392]) ).
tff(f6392,plain,
( spl16_116
<=> divides1(sK12,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_116])]) ).
tff(f6386,plain,
( spl16_114
<=> ( -1 = $uminus(sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_114])]) ).
tff(f6362,plain,
( ( -1 = $uminus(sK12) )
| ~ divides1(sK12,1)
| ~ spl16_87 ),
inference(evaluation,[],[f6357]) ).
tff(f6357,plain,
( $less(1,0)
| ~ divides1(sK12,1)
| ( -1 = $uminus(sK12) )
| ~ spl16_87 ),
inference(superposition,[],[f4495,f910]) ).
tff(f4495,plain,
( $less($uminus(sK12),0)
| ~ spl16_87 ),
inference(avatar_component_clause,[],[f4494]) ).
tff(f6399,plain,
( spl16_117
| spl16_111
| ~ spl16_112
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f6352,f1004,f6374,f6371,f6396]) ).
tff(f6396,plain,
( spl16_117
<=> lt_nat1(1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_117])]) ).
tff(f1004,plain,
( spl16_21
<=> lt_nat1($uminus(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
tff(f6352,plain,
( ~ divides1(abs1(1),1)
| ( -1 = $uminus(abs1(1)) )
| lt_nat1(1,0)
| ~ spl16_21 ),
inference(superposition,[],[f1005,f910]) ).
tff(f1005,plain,
( lt_nat1($uminus(abs1(1)),0)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f1004]) ).
tff(f6398,plain,
( spl16_117
| ~ spl16_116
| spl16_114
| ~ spl16_89 ),
inference(avatar_split_clause,[],[f6356,f4524,f6386,f6392,f6396]) ).
tff(f4524,plain,
( spl16_89
<=> lt_nat1($uminus(sK12),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_89])]) ).
tff(f6356,plain,
( ( -1 = $uminus(sK12) )
| ~ divides1(sK12,1)
| lt_nat1(1,0)
| ~ spl16_89 ),
inference(superposition,[],[f4525,f910]) ).
tff(f4525,plain,
( lt_nat1($uminus(sK12),0)
| ~ spl16_89 ),
inference(avatar_component_clause,[],[f4524]) ).
tff(f6394,plain,
( spl16_114
| ~ spl16_115
| ~ spl16_116
| spl16_6 ),
inference(avatar_split_clause,[],[f6358,f630,f6392,f6389,f6386]) ).
tff(f6389,plain,
( spl16_115
<=> ( gcd1($sum(sK11,1),$sum($product(2,sK12),1)) = gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_115])]) ).
tff(f6358,plain,
( ~ divides1(sK12,1)
| ( gcd1($sum(sK11,1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( -1 = $uminus(sK12) )
| spl16_6 ),
inference(superposition,[],[f631,f910]) ).
tff(f6383,plain,
( ~ spl16_112
| spl16_111
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f6364,f995,f6371,f6374]) ).
tff(f995,plain,
( spl16_20
<=> $less($uminus(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
tff(f6364,plain,
( ( -1 = $uminus(abs1(1)) )
| ~ divides1(abs1(1),1)
| ~ spl16_20 ),
inference(evaluation,[],[f6353]) ).
tff(f6353,plain,
( ~ divides1(abs1(1),1)
| $less(1,0)
| ( -1 = $uminus(abs1(1)) )
| ~ spl16_20 ),
inference(superposition,[],[f996,f910]) ).
tff(f996,plain,
( $less($uminus(abs1(1)),0)
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f995]) ).
tff(f6379,plain,
( spl16_111
| ~ spl16_112
| spl16_113
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f6350,f1178,f6377,f6374,f6371]) ).
tff(f6377,plain,
( spl16_113
<=> lt_nat1(1,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_113])]) ).
tff(f1178,plain,
( spl16_28
<=> lt_nat1($uminus(abs1(1)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
tff(f6350,plain,
( lt_nat1(1,1)
| ~ divides1(abs1(1),1)
| ( -1 = $uminus(abs1(1)) )
| ~ spl16_28 ),
inference(superposition,[],[f1179,f910]) ).
tff(f1179,plain,
( lt_nat1($uminus(abs1(1)),1)
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f1178]) ).
tff(f6145,plain,
( spl16_109
| spl16_110 ),
inference(avatar_split_clause,[],[f6096,f6143,f6140]) ).
tff(f6140,plain,
( spl16_109
<=> ( 1 = $uminus(abs1(-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_109])]) ).
tff(f6096,plain,
( ( $uminus(abs1(-1)) = -1 )
| ( 1 = $uminus(abs1(-1)) ) ),
inference(resolution,[],[f5724,f609]) ).
tff(f6138,plain,
( spl16_107
| spl16_108 ),
inference(avatar_split_clause,[],[f6101,f6136,f6133]) ).
tff(f6136,plain,
( spl16_108
<=> ! [X0: $int] : divides1(gcd1(abs1(-1),0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_108])]) ).
tff(f6101,plain,
! [X0: $int] :
( divides1(gcd1(abs1(-1),0),X0)
| $less($uminus(abs1(-1)),0) ),
inference(superposition,[],[f5724,f786]) ).
tff(f6131,plain,
( ~ spl16_102
| ~ spl16_103
| spl16_106 ),
inference(avatar_split_clause,[],[f6086,f6129,f6116,f6113]) ).
tff(f6086,plain,
! [X5: $int] :
( even1(X5)
| ~ prime1($uminus(abs1(-1)))
| ~ even1($uminus(abs1(-1))) ),
inference(resolution,[],[f5724,f726]) ).
tff(f6127,plain,
( spl16_104
| ~ spl16_105 ),
inference(avatar_split_clause,[],[f6089,f6125,f6122]) ).
tff(f6122,plain,
( spl16_104
<=> ! [X8: $int] :
( ~ $less($uminus(abs1(-1)),X8)
| ~ prime1(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).
tff(f6125,plain,
( spl16_105
<=> $less(1,$uminus(abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_105])]) ).
tff(f6089,plain,
! [X8: $int] :
( ~ $less(1,$uminus(abs1(-1)))
| ~ $less($uminus(abs1(-1)),X8)
| ~ prime1(X8) ),
inference(resolution,[],[f5724,f551]) ).
tff(f6120,plain,
( ~ spl16_102
| spl16_34 ),
inference(avatar_split_clause,[],[f6087,f1351,f6113]) ).
tff(f6087,plain,
! [X6: $int] :
( divides1(2,X6)
| ~ even1($uminus(abs1(-1))) ),
inference(resolution,[],[f5724,f834]) ).
tff(f6118,plain,
( spl16_92
| ~ spl16_102
| ~ spl16_103 ),
inference(avatar_split_clause,[],[f6085,f6116,f6113,f5044]) ).
tff(f6085,plain,
! [X4: $int] :
( ~ prime1($uminus(abs1(-1)))
| ~ even1($uminus(abs1(-1)))
| ~ odd1(X4) ),
inference(resolution,[],[f5724,f728]) ).
tff(f6111,plain,
( spl16_34
| spl16_101 ),
inference(avatar_split_clause,[],[f6088,f6109,f1351]) ).
tff(f6088,plain,
! [X7: $int] :
( odd1($uminus(abs1(-1)))
| divides1(2,X7) ),
inference(resolution,[],[f5724,f833]) ).
tff(f5300,plain,
( ~ spl16_78
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f5299,f926,f3221]) ).
tff(f926,plain,
( spl16_18
<=> odd1(1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
tff(f5299,plain,
( ~ divides1(2,-1)
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f5298,f4690]) ).
tff(f5298,plain,
( ! [X3: $int] :
( ~ divides1(2,X3)
| ~ divides1(2,-1) )
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f5259,f927]) ).
tff(f927,plain,
( odd1(1)
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f926]) ).
tff(f5259,plain,
! [X3: $int] :
( ~ divides1(2,-1)
| ~ divides1(2,X3)
| ~ odd1(1) ),
inference(superposition,[],[f1328,f4636]) ).
tff(f5297,plain,
( ~ spl16_78
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f5296,f3218,f3221]) ).
tff(f5296,plain,
( ~ divides1(2,-1)
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f5254,f4690]) ).
tff(f5254,plain,
( ! [X3: $int] :
( ~ divides1(2,X3)
| ~ divides1(2,-1) )
| ~ spl16_77 ),
inference(resolution,[],[f1328,f3654]) ).
tff(f5294,plain,
( ~ spl16_78
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f5293,f3218,f3221]) ).
tff(f5293,plain,
( ~ divides1(2,-1)
| ~ spl16_77 ),
inference(subsumption_resolution,[],[f5251,f4690]) ).
tff(f5251,plain,
( ! [X1: $int] :
( ~ divides1(2,-1)
| ~ divides1(2,X1) )
| ~ spl16_77 ),
inference(resolution,[],[f1328,f3628]) ).
tff(f5291,plain,
( ~ spl16_78
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f5289,f926,f3221]) ).
tff(f5289,plain,
( ~ divides1(2,-1)
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f5288,f4690]) ).
tff(f5288,plain,
( ! [X54: $int] :
( ~ divides1(2,X54)
| ~ divides1(2,-1) )
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f5287,f927]) ).
tff(f5287,plain,
! [X54: $int] :
( ~ divides1(2,X54)
| ~ divides1(2,-1)
| ~ odd1(1) ),
inference(superposition,[],[f1328,f4300]) ).
tff(f5249,plain,
( spl16_34
| spl16_100 ),
inference(avatar_split_clause,[],[f5232,f5247,f1351]) ).
tff(f5232,plain,
! [X0: $int,X1: $int] :
( ~ even1(X0)
| ~ prime1(X0)
| divides1(2,X1)
| ~ coprime1(2,X0) ),
inference(resolution,[],[f1213,f732]) ).
tff(f732,plain,
! [X0: $int,X1: $int] :
( even1($product(X0,X1))
| ~ prime1(X0)
| ~ even1(X0) ),
inference(superposition,[],[f607,f583]) ).
tff(f607,plain,
! [X2: $int] : even1($product(2,X2)),
inference(equality_resolution,[],[f598]) ).
tff(f598,plain,
! [X2: $int,X0: $int] :
( even1(X0)
| ( $product(2,X2) != X0 ) ),
inference(cnf_transformation,[],[f448]) ).
tff(f1213,plain,
! [X34: $int,X33: $int] :
( ~ even1($product(X34,X33))
| ~ coprime1(2,X34)
| divides1(2,X33) ),
inference(resolution,[],[f546,f519]) ).
tff(f5219,plain,
( ~ spl16_99
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f5201,f5158,f5217]) ).
tff(f5217,plain,
( spl16_99
<=> $less(1,abs1(-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_99])]) ).
tff(f5201,plain,
( ~ $less(1,abs1(-1))
| ~ spl16_96 ),
inference(evaluation,[],[f5192]) ).
tff(f5192,plain,
( ~ $less(1,abs1($product(-1,1)))
| ~ spl16_96 ),
inference(superposition,[],[f1553,f5159]) ).
tff(f5215,plain,
( ~ spl16_98
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f5194,f5158,f5213]) ).
tff(f5213,plain,
( spl16_98
<=> $less(abs1(1),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_98])]) ).
tff(f5194,plain,
( ~ $less(abs1(1),-1)
| ~ spl16_96 ),
inference(superposition,[],[f1820,f5159]) ).
tff(f5211,plain,
( ~ spl16_97
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f5195,f5158,f5209]) ).
tff(f5209,plain,
( spl16_97
<=> $less(abs1(abs1(1)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_97])]) ).
tff(f5195,plain,
( ~ $less(abs1(abs1(1)),-1)
| ~ spl16_96 ),
inference(superposition,[],[f1918,f5159]) ).
tff(f5161,plain,
spl16_96,
inference(avatar_split_clause,[],[f5144,f5158]) ).
tff(f5144,plain,
1 = abs1(-1),
inference(evaluation,[],[f5121]) ).
tff(f5121,plain,
( ~ $less(-1,0)
| ( 1 = abs1(-1) ) ),
inference(superposition,[],[f882,f4636]) ).
tff(f5160,plain,
spl16_96,
inference(avatar_split_clause,[],[f5151,f5158]) ).
tff(f5151,plain,
1 = abs1(-1),
inference(evaluation,[],[f5088]) ).
tff(f5088,plain,
( ~ $less(-1,0)
| ( 1 = abs1(-1) ) ),
inference(superposition,[],[f4636,f882]) ).
tff(f5062,plain,
( spl16_95
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f5058,f5039,f5060]) ).
tff(f5058,plain,
! [X1: $int] :
( ~ divides1(2,1)
| $less(X1,0)
| ~ odd1(X1) ),
inference(subsumption_resolution,[],[f5057,f459]) ).
tff(f5057,plain,
! [X1: $int] :
( even1(X1)
| ~ odd1(X1)
| $less(X1,0)
| ~ divides1(2,1) ),
inference(subsumption_resolution,[],[f5031,f466]) ).
tff(f5031,plain,
! [X1: $int] :
( ~ divides1(2,1)
| $less(X1,0)
| ~ odd1(X1)
| even1(X1)
| ~ divides1(2,$product(2,div2(X1,2))) ),
inference(superposition,[],[f1040,f587]) ).
tff(f5056,plain,
( ~ spl16_91
| spl16_94
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f5052,f2687,f5054,f5039]) ).
tff(f5054,plain,
( spl16_94
<=> ! [X1: $int] : ~ even1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_94])]) ).
tff(f5052,plain,
( ! [X1: $int] :
( ~ even1(X1)
| ~ divides1(2,1) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f5025,f4161]) ).
tff(f5025,plain,
! [X1: $int] :
( ~ even1(X1)
| ~ divides1(2,X1)
| ~ divides1(2,1) ),
inference(resolution,[],[f1040,f554]) ).
tff(f554,plain,
! [X0: $int] :
( odd1($sum(X0,1))
| ~ even1(X0) ),
inference(cnf_transformation,[],[f324]) ).
tff(f324,plain,
! [X0: $int] :
( odd1($sum(X0,1))
| ~ even1(X0) ),
inference(ennf_transformation,[],[f153]) ).
tff(f153,plain,
! [X0: $int] :
( even1(X0)
=> odd1($sum(X0,1)) ),
inference(rectify,[],[f47]) ).
tff(f47,axiom,
! [X14: $int] :
( even1(X14)
=> odd1($sum(X14,1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_odd) ).
tff(f5051,plain,
( spl16_93
| ~ spl16_91
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f5047,f2687,f5039,f5049]) ).
tff(f5047,plain,
( ! [X5: $int] :
( ~ divides1(2,1)
| ~ even1(X5)
| ~ prime1(X5) )
| ~ spl16_68 ),
inference(subsumption_resolution,[],[f5028,f4161]) ).
tff(f5028,plain,
! [X6: $int,X5: $int] :
( ~ even1(X5)
| ~ prime1(X5)
| ~ divides1(2,1)
| ~ divides1(2,$product(X5,X6)) ),
inference(resolution,[],[f1040,f725]) ).
tff(f725,plain,
! [X0: $int,X1: $int] :
( odd1($sum($product(X0,X1),1))
| ~ even1(X0)
| ~ prime1(X0) ),
inference(superposition,[],[f492,f583]) ).
tff(f5046,plain,
( spl16_92
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f5042,f5039,f5044]) ).
tff(f5042,plain,
! [X0: $int] :
( ~ divides1(2,1)
| ~ odd1(X0) ),
inference(subsumption_resolution,[],[f5035,f466]) ).
tff(f5035,plain,
! [X0: $int] :
( ~ divides1(2,1)
| ~ odd1(X0)
| ~ divides1(2,$product(2,sK13(X0))) ),
inference(duplicate_literal_removal,[],[f5030]) ).
tff(f5030,plain,
! [X0: $int] :
( ~ divides1(2,$product(2,sK13(X0)))
| ~ divides1(2,1)
| ~ odd1(X0)
| ~ odd1(X0) ),
inference(superposition,[],[f1040,f590]) ).
tff(f5041,plain,
~ spl16_91,
inference(avatar_split_clause,[],[f5037,f5039]) ).
tff(f5037,plain,
~ divides1(2,1),
inference(subsumption_resolution,[],[f5027,f466]) ).
tff(f5027,plain,
! [X4: $int] :
( ~ divides1(2,1)
| ~ divides1(2,$product(2,X4)) ),
inference(resolution,[],[f1040,f492]) ).
tff(f4698,plain,
( spl16_90
| ~ spl16_85 ),
inference(avatar_split_clause,[],[f4694,f4434,f4696]) ).
tff(f4694,plain,
( lt_nat1(sK2(3,1),0)
| ~ spl16_85 ),
inference(evaluation,[],[f4693]) ).
tff(f4693,plain,
( $less(0,0)
| lt_nat1(sK2(3,1),0)
| ~ spl16_85 ),
inference(resolution,[],[f4435,f577]) ).
tff(f4435,plain,
( $less(sK2(3,1),0)
| ~ spl16_85 ),
inference(avatar_component_clause,[],[f4434]) ).
tff(f4526,plain,
( spl16_89
| ~ spl16_87 ),
inference(avatar_split_clause,[],[f4522,f4494,f4524]) ).
tff(f4522,plain,
( lt_nat1($uminus(sK12),0)
| ~ spl16_87 ),
inference(evaluation,[],[f4516]) ).
tff(f4516,plain,
( lt_nat1($uminus(sK12),0)
| $less(0,0)
| ~ spl16_87 ),
inference(resolution,[],[f4495,f577]) ).
tff(f4499,plain,
( spl16_87
| ~ spl16_88
| spl16_6 ),
inference(avatar_split_clause,[],[f4492,f630,f4497,f4494]) ).
tff(f4497,plain,
( spl16_88
<=> ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) = gcd1($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_88])]) ).
tff(f4492,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,gcd1(sK12,0)),$sum($product(2,sK12),1)) )
| $less($uminus(sK12),0)
| spl16_6 ),
inference(superposition,[],[f631,f786]) ).
tff(f4439,plain,
( spl16_85
| ~ spl16_86
| spl16_64 ),
inference(avatar_split_clause,[],[f4432,f2609,f4437,f4434]) ).
tff(f4437,plain,
( spl16_86
<=> prime1(sK2(3,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_86])]) ).
tff(f2609,plain,
( spl16_64
<=> prime1(abs1(sK2(3,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_64])]) ).
tff(f4432,plain,
( ~ prime1(sK2(3,1))
| $less(sK2(3,1),0)
| spl16_64 ),
inference(superposition,[],[f2610,f585]) ).
tff(f2610,plain,
( ~ prime1(abs1(sK2(3,1)))
| spl16_64 ),
inference(avatar_component_clause,[],[f2609]) ).
tff(f4052,plain,
( ~ spl16_84
| ~ spl16_80 ),
inference(avatar_split_clause,[],[f4043,f3271,f4050]) ).
tff(f4043,plain,
( ~ even1(abs1(-1))
| ~ spl16_80 ),
inference(evaluation,[],[f4014]) ).
tff(f4014,plain,
( ~ $less(-1,0)
| ~ even1(abs1(-1))
| ~ spl16_80 ),
inference(superposition,[],[f3678,f882]) ).
tff(f4048,plain,
( spl16_83
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f4044,f3218,f4046]) ).
tff(f4044,plain,
( odd1(abs1(-1))
| ~ spl16_77 ),
inference(evaluation,[],[f4015]) ).
tff(f4015,plain,
( odd1(abs1(-1))
| ~ $less(-1,0)
| ~ spl16_77 ),
inference(superposition,[],[f3654,f882]) ).
tff(f3836,plain,
( spl16_82
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f3825,f2675,f3833]) ).
tff(f3833,plain,
( spl16_82
<=> coprime1(-1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_82])]) ).
tff(f3825,plain,
( coprime1(-1,0)
| ~ spl16_66 ),
inference(evaluation,[],[f3824]) ).
tff(f3824,plain,
( coprime1($uminus(1),0)
| ~ spl16_66 ),
inference(trivial_inequality_removal,[],[f3811]) ).
tff(f3811,plain,
( ( 1 != 1 )
| coprime1($uminus(1),0)
| ~ spl16_66 ),
inference(superposition,[],[f764,f2676]) ).
tff(f3835,plain,
spl16_82,
inference(avatar_split_clause,[],[f3831,f3833]) ).
tff(f3831,plain,
coprime1(-1,0),
inference(subsumption_resolution,[],[f3827,f2670]) ).
tff(f3827,plain,
! [X23: $int] :
( ( 1 != gcd1(X23,1) )
| coprime1(-1,0) ),
inference(evaluation,[],[f3812]) ).
tff(f3812,plain,
! [X23: $int] :
( coprime1($uminus(1),0)
| ( 1 != gcd1(X23,1) ) ),
inference(superposition,[],[f764,f1597]) ).
tff(f3366,plain,
( ~ spl16_18
| ~ spl16_78 ),
inference(avatar_contradiction_clause,[],[f3365]) ).
tff(f3365,plain,
( $false
| ~ spl16_18
| ~ spl16_78 ),
inference(subsumption_resolution,[],[f3355,f927]) ).
tff(f3355,plain,
( ~ odd1(1)
| ~ spl16_78 ),
inference(evaluation,[],[f3347]) ).
tff(f3347,plain,
( ~ odd1($uminus(-1))
| ~ spl16_78 ),
inference(resolution,[],[f3222,f685]) ).
tff(f3222,plain,
( divides1(2,-1)
| ~ spl16_78 ),
inference(avatar_component_clause,[],[f3221]) ).
tff(f3364,plain,
( spl16_27
| ~ spl16_78 ),
inference(avatar_contradiction_clause,[],[f3363]) ).
tff(f3363,plain,
( $false
| spl16_27
| ~ spl16_78 ),
inference(subsumption_resolution,[],[f3349,f1145]) ).
tff(f3349,plain,
( even1(-1)
| ~ spl16_78 ),
inference(resolution,[],[f3222,f518]) ).
tff(f3362,plain,
( spl16_34
| ~ spl16_78 ),
inference(avatar_split_clause,[],[f3361,f3221,f1351]) ).
tff(f3361,plain,
( ! [X0: $int] : divides1(2,X0)
| ~ spl16_78 ),
inference(subsumption_resolution,[],[f3353,f2761]) ).
tff(f3353,plain,
( ! [X0: $int] :
( divides1(2,X0)
| ~ divides1(-1,X0) )
| ~ spl16_78 ),
inference(resolution,[],[f3222,f474]) ).
tff(f3360,plain,
( spl16_17
| ~ spl16_78 ),
inference(avatar_contradiction_clause,[],[f3359]) ).
tff(f3359,plain,
( $false
| spl16_17
| ~ spl16_78 ),
inference(subsumption_resolution,[],[f3356,f923]) ).
tff(f3356,plain,
( even1(1)
| ~ spl16_78 ),
inference(evaluation,[],[f3346]) ).
tff(f3346,plain,
( even1($uminus(-1))
| ~ spl16_78 ),
inference(resolution,[],[f3222,f686]) ).
tff(f3358,plain,
( ~ spl16_23
| ~ spl16_78 ),
inference(avatar_contradiction_clause,[],[f3357]) ).
tff(f3357,plain,
( $false
| ~ spl16_23
| ~ spl16_78 ),
inference(subsumption_resolution,[],[f3348,f1114]) ).
tff(f3348,plain,
( ~ odd1(-1)
| ~ spl16_78 ),
inference(resolution,[],[f3222,f533]) ).
tff(f3277,plain,
( ~ spl16_81
| spl16_34 ),
inference(avatar_split_clause,[],[f3262,f1351,f3275]) ).
tff(f3262,plain,
! [X63: $int] :
( divides1(2,X63)
| ~ even1(gcd1(1,0)) ),
inference(resolution,[],[f834,f2641]) ).
tff(f3273,plain,
( spl16_78
| spl16_80 ),
inference(avatar_split_clause,[],[f3259,f3271,f3221]) ).
tff(f3259,plain,
! [X57: $int] :
( ~ even1(gcd1(X57,1))
| divides1(2,-1) ),
inference(resolution,[],[f834,f2669]) ).
tff(f2669,plain,
! [X14: $int] : divides1(gcd1(X14,1),-1),
inference(evaluation,[],[f2657]) ).
tff(f2657,plain,
! [X14: $int] : divides1(gcd1(X14,1),$uminus(1)),
inference(superposition,[],[f755,f1597]) ).
tff(f3227,plain,
( spl16_34
| spl16_79 ),
inference(avatar_split_clause,[],[f3209,f3225,f1351]) ).
tff(f3209,plain,
! [X63: $int] :
( odd1(gcd1(1,0))
| divides1(2,X63) ),
inference(resolution,[],[f833,f2641]) ).
tff(f3223,plain,
( spl16_77
| spl16_78 ),
inference(avatar_split_clause,[],[f3206,f3221,f3218]) ).
tff(f3206,plain,
! [X57: $int] :
( divides1(2,-1)
| odd1(gcd1(X57,1)) ),
inference(resolution,[],[f833,f2669]) ).
tff(f3174,plain,
( ~ spl16_75
| spl16_76 ),
inference(avatar_split_clause,[],[f3160,f3172,f3169]) ).
tff(f3169,plain,
( spl16_75
<=> prime1(-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_75])]) ).
tff(f3172,plain,
( spl16_76
<=> ! [X9: $int,X8: $int] :
( divides1(-2,X8)
| odd1($product(X8,X9))
| divides1(-2,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_76])]) ).
tff(f3160,plain,
! [X8: $int,X9: $int] :
( divides1(-2,X8)
| divides1(-2,X9)
| ~ prime1(-2)
| odd1($product(X8,X9)) ),
inference(resolution,[],[f2760,f561]) ).
tff(f2760,plain,
! [X8: $int] :
( divides1(-2,X8)
| odd1(X8) ),
inference(evaluation,[],[f2735]) ).
tff(f2735,plain,
! [X8: $int] :
( odd1($uminus($uminus(X8)))
| divides1($uminus(2),X8) ),
inference(resolution,[],[f717,f719]) ).
tff(f2923,plain,
spl16_74,
inference(avatar_split_clause,[],[f2919,f2921]) ).
tff(f2921,plain,
( spl16_74
<=> coprime1(0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_74])]) ).
tff(f2919,plain,
coprime1(0,1),
inference(subsumption_resolution,[],[f2901,f2670]) ).
tff(f2901,plain,
! [X20: $int] :
( ( 1 != gcd1(X20,1) )
| coprime1(0,1) ),
inference(superposition,[],[f762,f1597]) ).
tff(f2918,plain,
( spl16_73
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f2909,f2675,f2916]) ).
tff(f2909,plain,
! [X38: $int] :
( ( 1 != gcd1(1,0) )
| coprime1(1,X38) ),
inference(superposition,[],[f762,f1597]) ).
tff(f2914,plain,
~ spl16_65,
inference(avatar_contradiction_clause,[],[f2913]) ).
tff(f2913,plain,
( $false
| ~ spl16_65 ),
inference(subsumption_resolution,[],[f2912,f2670]) ).
tff(f2912,plain,
( ! [X20: $int] : ( 1 != gcd1(X20,1) )
| ~ spl16_65 ),
inference(subsumption_resolution,[],[f2901,f2673]) ).
tff(f2673,plain,
( ! [X3: $int] : ~ coprime1(X3,1)
| ~ spl16_65 ),
inference(avatar_component_clause,[],[f2672]) ).
tff(f2672,plain,
( spl16_65
<=> ! [X3: $int] : ~ coprime1(X3,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_65])]) ).
tff(f2890,plain,
( ~ spl16_71
| spl16_72 ),
inference(avatar_split_clause,[],[f2870,f2888,f2885]) ).
tff(f2885,plain,
( spl16_71
<=> prime1(-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_71])]) ).
tff(f2888,plain,
( spl16_72
<=> ! [X0: $int] :
( ~ $less(gcd1(X0,1),-1)
| ~ $less(1,gcd1(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_72])]) ).
tff(f2870,plain,
! [X0: $int] :
( ~ $less(gcd1(X0,1),-1)
| ~ prime1(-1)
| ~ $less(1,gcd1(X0,1)) ),
inference(resolution,[],[f2669,f551]) ).
tff(f2793,plain,
( ~ spl16_69
| spl16_70 ),
inference(avatar_split_clause,[],[f2772,f2791,f2788]) ).
tff(f2788,plain,
( spl16_69
<=> $less(1,gcd1(1,0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_69])]) ).
tff(f2791,plain,
( spl16_70
<=> ! [X0: $int] :
( ~ prime1(X0)
| ~ $less(gcd1(1,0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_70])]) ).
tff(f2772,plain,
! [X0: $int] :
( ~ prime1(X0)
| ~ $less(1,gcd1(1,0))
| ~ $less(gcd1(1,0),X0) ),
inference(resolution,[],[f2641,f551]) ).
tff(f2689,plain,
( ~ spl16_66
| spl16_68 ),
inference(avatar_split_clause,[],[f2634,f2687,f2675]) ).
tff(f2634,plain,
! [X9: $int] :
( coprime1(X9,1)
| ( 1 != gcd1(1,0) ) ),
inference(superposition,[],[f558,f1597]) ).
tff(f2684,plain,
( spl16_66
| spl16_65 ),
inference(avatar_split_clause,[],[f2635,f2672,f2675]) ).
tff(f2635,plain,
! [X10: $int] :
( ~ coprime1(X10,1)
| ( 1 = gcd1(1,0) ) ),
inference(superposition,[],[f559,f1597]) ).
tff(f2683,plain,
spl16_67,
inference(avatar_split_clause,[],[f2679,f2681]) ).
tff(f2679,plain,
coprime1(1,0),
inference(subsumption_resolution,[],[f2653,f2670]) ).
tff(f2653,plain,
! [X10: $int] :
( coprime1(1,0)
| ( 1 != gcd1(X10,1) ) ),
inference(superposition,[],[f558,f1597]) ).
tff(f2677,plain,
( spl16_65
| spl16_66 ),
inference(avatar_split_clause,[],[f2614,f2675,f2672]) ).
tff(f2614,plain,
! [X3: $int] :
( ( 1 = gcd1(1,0) )
| ~ coprime1(X3,1) ),
inference(superposition,[],[f1597,f559]) ).
tff(f2611,plain,
( spl16_63
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f2603,f2609,f2606]) ).
tff(f2606,plain,
( spl16_63
<=> odd1(abs1(sK2(3,1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_63])]) ).
tff(f2603,plain,
( ~ prime1(abs1(sK2(3,1)))
| odd1(abs1(sK2(3,1))) ),
inference(resolution,[],[f2601,f535]) ).
tff(f535,plain,
! [X0: $int] :
( $less(X0,3)
| ~ prime1(X0)
| odd1(X0) ),
inference(cnf_transformation,[],[f320]) ).
tff(f320,plain,
! [X0: $int] :
( $less(X0,3)
| odd1(X0)
| ~ prime1(X0) ),
inference(flattening,[],[f319]) ).
tff(f319,plain,
! [X0: $int] :
( odd1(X0)
| $less(X0,3)
| ~ prime1(X0) ),
inference(ennf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: $int] :
( prime1(X0)
=> ( ~ $less(X0,3)
=> odd1(X0) ) ),
inference(rectify,[],[f124]) ).
tff(f124,plain,
! [X20: $int] :
( prime1(X20)
=> ( ~ $less(X20,3)
=> odd1(X20) ) ),
inference(theory_normalization,[],[f106]) ).
tff(f106,axiom,
! [X20: $int] :
( prime1(X20)
=> ( $lesseq(3,X20)
=> odd1(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odd_prime) ).
tff(f2449,plain,
( ~ spl16_40
| spl16_49 ),
inference(avatar_split_clause,[],[f2448,f2257,f1923]) ).
tff(f1923,plain,
( spl16_40
<=> prime1(abs1(abs1(3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_40])]) ).
tff(f2257,plain,
( spl16_49
<=> prime1(abs1(abs1(abs1(3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
tff(f2448,plain,
( ~ prime1(abs1(abs1(3)))
| spl16_49 ),
inference(subsumption_resolution,[],[f2442,f568]) ).
tff(f2442,plain,
( ~ prime1(abs1(abs1(3)))
| $less(abs1(3),0)
| spl16_49 ),
inference(superposition,[],[f2258,f585]) ).
tff(f2258,plain,
( ~ prime1(abs1(abs1(abs1(3))))
| spl16_49 ),
inference(avatar_component_clause,[],[f2257]) ).
tff(f2447,plain,
( ~ spl16_40
| spl16_49 ),
inference(avatar_split_clause,[],[f2446,f2257,f1923]) ).
tff(f2446,plain,
( ~ prime1(abs1(abs1(3)))
| spl16_49 ),
inference(subsumption_resolution,[],[f2443,f568]) ).
tff(f2443,plain,
( $less(abs1(abs1(3)),0)
| ~ prime1(abs1(abs1(3)))
| spl16_49 ),
inference(superposition,[],[f2258,f585]) ).
tff(f2445,plain,
( ~ spl16_40
| spl16_49 ),
inference(avatar_split_clause,[],[f2444,f2257,f1923]) ).
tff(f2444,plain,
( ~ prime1(abs1(abs1(3)))
| spl16_49 ),
inference(evaluation,[],[f2441]) ).
tff(f2441,plain,
( ~ prime1(abs1(abs1(3)))
| $less(3,0)
| spl16_49 ),
inference(superposition,[],[f2258,f585]) ).
tff(f2440,plain,
( spl16_62
| spl16_3
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f2436,f2333,f619,f2438]) ).
tff(f2438,plain,
( spl16_62
<=> ( mod2(1,2) = mod2(0,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_62])]) ).
tff(f2436,plain,
( ( mod2(1,2) = mod2(0,2) )
| spl16_3
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2408,f620]) ).
tff(f2408,plain,
( $less(sK12,0)
| ( mod2(1,2) = mod2(0,2) )
| ~ spl16_52 ),
inference(evaluation,[],[f2401]) ).
tff(f2401,plain,
( $less(sK12,0)
| ( mod2(1,2) = mod2(0,2) )
| ~ $less(0,2)
| $less(1,0)
| ~ spl16_52 ),
inference(superposition,[],[f539,f2334]) ).
tff(f2334,plain,
( ( 0 = $sum($product(2,sK12),1) )
| ~ spl16_52 ),
inference(avatar_component_clause,[],[f2333]) ).
tff(f2435,plain,
( spl16_61
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f2409,f2333,f2433]) ).
tff(f2433,plain,
( spl16_61
<=> ( 0 = $sum(sK12,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_61])]) ).
tff(f2409,plain,
( ( 0 = $sum(sK12,0) )
| ~ spl16_52 ),
inference(evaluation,[],[f2402]) ).
tff(f2402,plain,
( ~ $less(0,2)
| ( $sum(sK12,$quotient_e(1,2)) = $quotient_e(0,2) )
| ~ spl16_52 ),
inference(superposition,[],[f557,f2334]) ).
tff(f2431,plain,
( ~ spl16_10
| ~ spl16_52 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
tff(f2430,plain,
( $false
| ~ spl16_10
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2398,f655]) ).
tff(f2398,plain,
( ~ even1(0)
| ~ spl16_52 ),
inference(superposition,[],[f682,f2334]) ).
tff(f682,plain,
! [X0: $int] : ~ even1($sum($product(2,X0),1)),
inference(resolution,[],[f492,f459]) ).
tff(f2429,plain,
( spl16_60
| spl16_3
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f2425,f2333,f619,f2427]) ).
tff(f2427,plain,
( spl16_60
<=> ( div2(0,2) = $sum(sK12,div2(1,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_60])]) ).
tff(f2425,plain,
( ( div2(0,2) = $sum(sK12,div2(1,2)) )
| spl16_3
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2412,f620]) ).
tff(f2412,plain,
( ( div2(0,2) = $sum(sK12,div2(1,2)) )
| $less(sK12,0)
| ~ spl16_52 ),
inference(evaluation,[],[f2400]) ).
tff(f2400,plain,
( $less(sK12,0)
| ( div2(0,2) = $sum(sK12,div2(1,2)) )
| ~ $less(0,2)
| $less(1,0)
| ~ spl16_52 ),
inference(superposition,[],[f504,f2334]) ).
tff(f2424,plain,
( spl16_12
| ~ spl16_52 ),
inference(avatar_contradiction_clause,[],[f2423]) ).
tff(f2423,plain,
( $false
| spl16_12
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2399,f668]) ).
tff(f2399,plain,
( odd1(0)
| ~ spl16_52 ),
inference(superposition,[],[f492,f2334]) ).
tff(f2422,plain,
( ~ spl16_10
| ~ spl16_52 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
tff(f2421,plain,
( $false
| ~ spl16_10
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2420,f607]) ).
tff(f2420,plain,
( ~ even1($product(2,sK12))
| ~ spl16_10
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2404,f655]) ).
tff(f2404,plain,
( ~ even1(0)
| ~ even1($product(2,sK12))
| ~ spl16_52 ),
inference(superposition,[],[f683,f2334]) ).
tff(f683,plain,
! [X0: $int] :
( ~ even1($sum(X0,1))
| ~ even1(X0) ),
inference(resolution,[],[f554,f459]) ).
tff(f2419,plain,
( ~ spl16_59
| spl16_6
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f2397,f2333,f630,f2417]) ).
tff(f2417,plain,
( spl16_59
<=> ( gcd1($sum($product(2,sK11),1),0) = gcd1($sum(sK11,$uminus(sK12)),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_59])]) ).
tff(f2397,plain,
( ( gcd1($sum($product(2,sK11),1),0) != gcd1($sum(sK11,$uminus(sK12)),0) )
| spl16_6
| ~ spl16_52 ),
inference(superposition,[],[f631,f2334]) ).
tff(f2415,plain,
( spl16_12
| ~ spl16_52 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
tff(f2414,plain,
( $false
| spl16_12
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2413,f607]) ).
tff(f2413,plain,
( ~ even1($product(2,sK12))
| spl16_12
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2406,f668]) ).
tff(f2406,plain,
( odd1(0)
| ~ even1($product(2,sK12))
| ~ spl16_52 ),
inference(superposition,[],[f554,f2334]) ).
tff(f2411,plain,
~ spl16_52,
inference(avatar_contradiction_clause,[],[f2410]) ).
tff(f2410,plain,
( $false
| ~ spl16_52 ),
inference(evaluation,[],[f2403]) ).
tff(f2403,plain,
( ~ $less(0,2)
| ( $remainder_e(0,2) = $remainder_e(1,2) )
| ~ spl16_52 ),
inference(superposition,[],[f483,f2334]) ).
tff(f2357,plain,
( spl16_52
| ~ spl16_58
| spl16_6 ),
inference(avatar_split_clause,[],[f2324,f630,f2355,f2333]) ).
tff(f2324,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),$remainder_e($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) )
| ( 0 = $sum($product(2,sK12),1) )
| spl16_6 ),
inference(superposition,[],[f631,f509]) ).
tff(f2353,plain,
( ~ spl16_51
| spl16_6 ),
inference(avatar_split_clause,[],[f2326,f630,f2329]) ).
tff(f2326,plain,
( ( gcd1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_6 ),
inference(superposition,[],[f631,f520]) ).
tff(f2352,plain,
( ~ spl16_56
| spl16_57
| spl16_6 ),
inference(avatar_split_clause,[],[f2318,f630,f2350,f2347]) ).
tff(f2347,plain,
( spl16_56
<=> prime1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_56])]) ).
tff(f2350,plain,
( spl16_57
<=> ! [X0: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,X0),$sum($product(2,sK12),1)) )
| ( 1 = X0 )
| ( -1 = X0 )
| ( sK12 = X0 )
| ~ divides1(X0,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_57])]) ).
tff(f2318,plain,
( ! [X0: $int] :
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,X0),$sum($product(2,sK12),1)) )
| ~ divides1(X0,sK12)
| ( sK12 = X0 )
| ( -1 = X0 )
| ( 1 = X0 )
| ~ prime1(sK12) )
| spl16_6 ),
inference(superposition,[],[f631,f608]) ).
tff(f2345,plain,
( ~ spl16_54
| ~ spl16_55
| spl16_6 ),
inference(avatar_split_clause,[],[f2325,f630,f2343,f2340]) ).
tff(f2340,plain,
( spl16_54
<=> coprime1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).
tff(f2325,plain,
( ( 1 != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ~ coprime1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))
| spl16_6 ),
inference(superposition,[],[f631,f559]) ).
tff(f2338,plain,
( spl16_52
| ~ spl16_53
| spl16_6 ),
inference(avatar_split_clause,[],[f2323,f630,f2336,f2333]) ).
tff(f2323,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK12),1),mod2($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1))) )
| ( 0 = $sum($product(2,sK12),1) )
| spl16_6 ),
inference(superposition,[],[f631,f545]) ).
tff(f2331,plain,
( ~ spl16_51
| spl16_6 ),
inference(avatar_split_clause,[],[f2327,f630,f2329]) ).
tff(f2327,plain,
( ( gcd1($sum($product(2,sK12),1),$sum(sK11,$uminus(sK12))) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| spl16_6 ),
inference(superposition,[],[f631,f520]) ).
tff(f2294,plain,
( ~ spl16_50
| ~ spl16_48 ),
inference(avatar_split_clause,[],[f2286,f2254,f2292]) ).
tff(f2254,plain,
( spl16_48
<=> odd1(abs1(abs1(abs1(3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
tff(f2286,plain,
( ~ even1(abs1(abs1(abs1(3))))
| ~ spl16_48 ),
inference(resolution,[],[f2255,f459]) ).
tff(f2255,plain,
( odd1(abs1(abs1(abs1(3))))
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f2254]) ).
tff(f2259,plain,
( spl16_48
| ~ spl16_49 ),
inference(avatar_split_clause,[],[f2249,f2257,f2254]) ).
tff(f2249,plain,
( ~ prime1(abs1(abs1(abs1(3))))
| odd1(abs1(abs1(abs1(3)))) ),
inference(resolution,[],[f1918,f535]) ).
tff(f2047,plain,
( ~ spl16_43
| spl16_47
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f2021,f995,f2045,f2027]) ).
tff(f2045,plain,
( spl16_47
<=> ! [X103: $int] :
( ( -1 = X103 )
| $less(X103,0)
| ~ divides1(X103,abs1(1))
| ( 1 = X103 )
| ( abs1(1) = X103 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
tff(f2021,plain,
( ! [X103: $int] :
( ( -1 = X103 )
| ( abs1(1) = X103 )
| ~ prime1(abs1(1))
| ( 1 = X103 )
| ~ divides1(X103,abs1(1))
| $less(X103,0) )
| ~ spl16_20 ),
inference(superposition,[],[f996,f608]) ).
tff(f2043,plain,
( ~ spl16_43
| spl16_46
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f2020,f1004,f2041,f2027]) ).
tff(f2041,plain,
( spl16_46
<=> ! [X102: $int] :
( ( abs1(1) = X102 )
| lt_nat1(X102,0)
| ~ divides1(X102,abs1(1))
| ( -1 = X102 )
| ( 1 = X102 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
tff(f2020,plain,
( ! [X102: $int] :
( ( abs1(1) = X102 )
| ~ prime1(abs1(1))
| ( 1 = X102 )
| ( -1 = X102 )
| ~ divides1(X102,abs1(1))
| lt_nat1(X102,0) )
| ~ spl16_21 ),
inference(superposition,[],[f1005,f608]) ).
tff(f2037,plain,
( ~ spl16_43
| spl16_45
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f2019,f1133,f2035,f2027]) ).
tff(f2035,plain,
( spl16_45
<=> ! [X101: $int] :
( ~ divides1(X101,abs1(1))
| ( 1 = X101 )
| ( -1 = X101 )
| ( abs1(1) = X101 )
| $less(X101,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
tff(f2019,plain,
( ! [X101: $int] :
( ~ divides1(X101,abs1(1))
| $less(X101,1)
| ( abs1(1) = X101 )
| ~ prime1(abs1(1))
| ( -1 = X101 )
| ( 1 = X101 ) )
| ~ spl16_24 ),
inference(superposition,[],[f1134,f608]) ).
tff(f2032,plain,
( ~ spl16_43
| spl16_44
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f2018,f1178,f2030,f2027]) ).
tff(f2030,plain,
( spl16_44
<=> ! [X100: $int] :
( lt_nat1(X100,1)
| ( abs1(1) = X100 )
| ( 1 = X100 )
| ( -1 = X100 )
| ~ divides1(X100,abs1(1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
tff(f2018,plain,
( ! [X100: $int] :
( lt_nat1(X100,1)
| ~ divides1(X100,abs1(1))
| ( -1 = X100 )
| ( 1 = X100 )
| ( abs1(1) = X100 )
| ~ prime1(abs1(1)) )
| ~ spl16_28 ),
inference(superposition,[],[f1179,f608]) ).
tff(f1944,plain,
( ~ spl16_42
| ~ spl16_41 ),
inference(avatar_split_clause,[],[f1937,f1926,f1942]) ).
tff(f1926,plain,
( spl16_41
<=> odd1(abs1(abs1(3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_41])]) ).
tff(f1937,plain,
( ~ even1(abs1(abs1(3)))
| ~ spl16_41 ),
inference(resolution,[],[f1927,f459]) ).
tff(f1927,plain,
( odd1(abs1(abs1(3)))
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f1926]) ).
tff(f1936,plain,
( ~ spl16_37
| spl16_40 ),
inference(avatar_split_clause,[],[f1935,f1923,f1824]) ).
tff(f1824,plain,
( spl16_37
<=> prime1(abs1(3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
tff(f1935,plain,
( ~ prime1(abs1(3))
| spl16_40 ),
inference(subsumption_resolution,[],[f1932,f568]) ).
tff(f1932,plain,
( ~ prime1(abs1(3))
| $less(abs1(3),0)
| spl16_40 ),
inference(superposition,[],[f1924,f585]) ).
tff(f1924,plain,
( ~ prime1(abs1(abs1(3)))
| spl16_40 ),
inference(avatar_component_clause,[],[f1923]) ).
tff(f1934,plain,
( ~ spl16_37
| spl16_40 ),
inference(avatar_split_clause,[],[f1933,f1923,f1824]) ).
tff(f1933,plain,
( ~ prime1(abs1(3))
| spl16_40 ),
inference(evaluation,[],[f1931]) ).
tff(f1931,plain,
( $less(3,0)
| ~ prime1(abs1(3))
| spl16_40 ),
inference(superposition,[],[f1924,f585]) ).
tff(f1928,plain,
( ~ spl16_40
| spl16_41 ),
inference(avatar_split_clause,[],[f1919,f1926,f1923]) ).
tff(f1919,plain,
( odd1(abs1(abs1(3)))
| ~ prime1(abs1(abs1(3))) ),
inference(resolution,[],[f1820,f535]) ).
tff(f1896,plain,
( ~ spl16_39
| ~ spl16_38 ),
inference(avatar_split_clause,[],[f1890,f1827,f1894]) ).
tff(f1827,plain,
( spl16_38
<=> odd1(abs1(3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
tff(f1890,plain,
( ~ even1(abs1(3))
| ~ spl16_38 ),
inference(resolution,[],[f1828,f459]) ).
tff(f1828,plain,
( odd1(abs1(3))
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f1827]) ).
tff(f1852,plain,
( spl16_34
| spl16_30
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f1851,f623,f1276,f1351]) ).
tff(f1276,plain,
( spl16_30
<=> divides1(2,-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
tff(f1851,plain,
( ! [X34: $int] :
( divides1(2,-2)
| divides1(2,X34) )
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f1767,f624]) ).
tff(f1767,plain,
! [X34: $int] :
( ~ prime1(2)
| divides1(2,X34)
| divides1(2,-2) ),
inference(resolution,[],[f561,f1264]) ).
tff(f1264,plain,
! [X5: $int] : divides1(2,$product(-2,X5)),
inference(resolution,[],[f720,f971]) ).
tff(f971,plain,
! [X0: $int] : even1($uminus($product(-2,X0))),
inference(evaluation,[],[f962]) ).
tff(f962,plain,
! [X0: $int] : even1($uminus($product($uminus(2),X0))),
inference(resolution,[],[f691,f686]) ).
tff(f1850,plain,
( spl16_30
| spl16_34
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f1849,f623,f1351,f1276]) ).
tff(f1849,plain,
( ! [X33: $int] :
( divides1(2,X33)
| divides1(2,-2) )
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f1766,f624]) ).
tff(f1766,plain,
! [X33: $int] :
( divides1(2,X33)
| ~ prime1(2)
| divides1(2,-2) ),
inference(resolution,[],[f561,f1263]) ).
tff(f1848,plain,
( ~ spl16_7
| spl16_37 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
tff(f1847,plain,
( $false
| ~ spl16_7
| spl16_37 ),
inference(subsumption_resolution,[],[f1846,f635]) ).
tff(f1846,plain,
( ~ prime1(3)
| spl16_37 ),
inference(evaluation,[],[f1845]) ).
tff(f1845,plain,
( ~ prime1(3)
| $less(3,0)
| spl16_37 ),
inference(superposition,[],[f1825,f585]) ).
tff(f1825,plain,
( ~ prime1(abs1(3))
| spl16_37 ),
inference(avatar_component_clause,[],[f1824]) ).
tff(f1829,plain,
( ~ spl16_37
| spl16_38 ),
inference(avatar_split_clause,[],[f1821,f1827,f1824]) ).
tff(f1821,plain,
( odd1(abs1(3))
| ~ prime1(abs1(3)) ),
inference(resolution,[],[f1751,f535]) ).
tff(f1797,plain,
( ~ spl16_36
| ~ spl16_35 ),
inference(avatar_split_clause,[],[f1793,f1748,f1795]) ).
tff(f1795,plain,
( spl16_36
<=> even1(3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_36])]) ).
tff(f1748,plain,
( spl16_35
<=> odd1(3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).
tff(f1793,plain,
( ~ even1(3)
| ~ spl16_35 ),
inference(resolution,[],[f1749,f459]) ).
tff(f1749,plain,
( odd1(3)
| ~ spl16_35 ),
inference(avatar_component_clause,[],[f1748]) ).
tff(f1750,plain,
( spl16_35
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f1746,f634,f1748]) ).
tff(f1746,plain,
( odd1(3)
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f1745,f635]) ).
tff(f1745,plain,
( ~ prime1(3)
| odd1(3) ),
inference(evaluation,[],[f1744]) ).
tff(f1744,plain,
( odd1(3)
| $less(3,0)
| ~ prime1(3) ),
inference(resolution,[],[f1198,f535]) ).
tff(f1353,plain,
( ~ spl16_33
| spl16_34 ),
inference(avatar_split_clause,[],[f1342,f1351,f1348]) ).
tff(f1348,plain,
( spl16_33
<=> coprime1(2,-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
tff(f1342,plain,
! [X4: $int] :
( divides1(2,X4)
| ~ coprime1(2,-2) ),
inference(resolution,[],[f1264,f546]) ).
tff(f1313,plain,
( ~ spl16_25
| spl16_32 ),
inference(avatar_split_clause,[],[f1283,f1311,f1136]) ).
tff(f1136,plain,
( spl16_25
<=> prime1(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
tff(f1283,plain,
! [X1: $int] :
( ~ $less(1,X1)
| ~ prime1(0)
| ~ $less(X1,0) ),
inference(resolution,[],[f551,f564]) ).
tff(f1281,plain,
( spl16_30
| spl16_31 ),
inference(avatar_split_clause,[],[f1271,f1279,f1276]) ).
tff(f1279,plain,
( spl16_31
<=> ! [X4: $int] : ~ coprime1(2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
tff(f1271,plain,
! [X4: $int] :
( ~ coprime1(2,X4)
| divides1(2,-2) ),
inference(resolution,[],[f1263,f546]) ).
tff(f1237,plain,
( spl16_29
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f1233,f1178,f1235]) ).
tff(f1235,plain,
( spl16_29
<=> lt_nat1(-1,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
tff(f1233,plain,
( lt_nat1(-1,1)
| ~ spl16_28 ),
inference(evaluation,[],[f1230]) ).
tff(f1230,plain,
( lt_nat1($uminus(1),1)
| $less(1,0)
| ~ spl16_28 ),
inference(superposition,[],[f1179,f585]) ).
tff(f1180,plain,
( spl16_28
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f1176,f1133,f1178]) ).
tff(f1176,plain,
( lt_nat1($uminus(abs1(1)),1)
| ~ spl16_24 ),
inference(evaluation,[],[f1172]) ).
tff(f1172,plain,
( $less(1,0)
| lt_nat1($uminus(abs1(1)),1)
| ~ spl16_24 ),
inference(resolution,[],[f1134,f577]) ).
tff(f1146,plain,
( ~ spl16_27
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f1142,f1113,f1144]) ).
tff(f1142,plain,
( ~ even1(-1)
| ~ spl16_23 ),
inference(resolution,[],[f1114,f459]) ).
tff(f1141,plain,
( spl16_24
| ~ spl16_25
| spl16_26
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f1125,f995,f1139,f1136,f1133]) ).
tff(f1139,plain,
( spl16_26
<=> coprime1($uminus(abs1(1)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
tff(f1125,plain,
( coprime1($uminus(abs1(1)),0)
| ~ prime1(0)
| $less($uminus(abs1(1)),1)
| ~ spl16_20 ),
inference(resolution,[],[f501,f996]) ).
tff(f1115,plain,
spl16_23,
inference(avatar_split_clause,[],[f1110,f1113]) ).
tff(f1110,plain,
odd1(-1),
inference(evaluation,[],[f1108]) ).
tff(f1108,plain,
( ( 2 = -1 )
| ( 1 = 2 )
| odd1($uminus(1)) ),
inference(resolution,[],[f719,f609]) ).
tff(f1037,plain,
( spl16_22
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f1033,f1004,f1035]) ).
tff(f1035,plain,
( spl16_22
<=> lt_nat1(-1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
tff(f1033,plain,
( lt_nat1(-1,0)
| ~ spl16_21 ),
inference(evaluation,[],[f1030]) ).
tff(f1030,plain,
( $less(1,0)
| lt_nat1($uminus(1),0)
| ~ spl16_21 ),
inference(superposition,[],[f1005,f585]) ).
tff(f1006,plain,
( spl16_21
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f1002,f995,f1004]) ).
tff(f1002,plain,
( lt_nat1($uminus(abs1(1)),0)
| ~ spl16_20 ),
inference(evaluation,[],[f998]) ).
tff(f998,plain,
( $less(0,0)
| lt_nat1($uminus(abs1(1)),0)
| ~ spl16_20 ),
inference(resolution,[],[f996,f577]) ).
tff(f997,plain,
spl16_20,
inference(avatar_split_clause,[],[f993,f995]) ).
tff(f993,plain,
$less($uminus(abs1(1)),0),
inference(evaluation,[],[f992]) ).
tff(f992,plain,
( $less($uminus(abs1(1)),0)
| ( 0 = 1 ) ),
inference(superposition,[],[f569,f543]) ).
tff(f944,plain,
( spl16_19
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f940,f903,f942]) ).
tff(f942,plain,
( spl16_19
<=> lt_nat1(0,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
tff(f903,plain,
( spl16_16
<=> lt_nat1(0,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
tff(f940,plain,
( lt_nat1(0,1)
| ~ spl16_16 ),
inference(evaluation,[],[f939]) ).
tff(f939,plain,
( $less(1,0)
| lt_nat1(0,1)
| ~ spl16_16 ),
inference(superposition,[],[f904,f585]) ).
tff(f904,plain,
( lt_nat1(0,abs1(1))
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f903]) ).
tff(f928,plain,
spl16_18,
inference(avatar_split_clause,[],[f919,f926]) ).
tff(f919,plain,
odd1(1),
inference(evaluation,[],[f913]) ).
tff(f913,plain,
( odd1(1)
| ( 1 = 2 )
| ( 2 = -1 ) ),
inference(resolution,[],[f609,f534]) ).
tff(f924,plain,
~ spl16_17,
inference(avatar_split_clause,[],[f920,f922]) ).
tff(f920,plain,
~ even1(1),
inference(evaluation,[],[f914]) ).
tff(f914,plain,
( ( 2 = -1 )
| ~ even1(1)
| ( 1 = 2 ) ),
inference(resolution,[],[f609,f519]) ).
tff(f905,plain,
( spl16_16
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f901,f887,f903]) ).
tff(f887,plain,
( spl16_15
<=> $less(0,abs1(1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
tff(f901,plain,
( lt_nat1(0,abs1(1))
| ~ spl16_15 ),
inference(subsumption_resolution,[],[f899,f568]) ).
tff(f899,plain,
( lt_nat1(0,abs1(1))
| $less(abs1(1),0)
| ~ spl16_15 ),
inference(resolution,[],[f888,f577]) ).
tff(f888,plain,
( $less(0,abs1(1))
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f887]) ).
tff(f889,plain,
spl16_15,
inference(avatar_split_clause,[],[f885,f887]) ).
tff(f885,plain,
$less(0,abs1(1)),
inference(evaluation,[],[f883]) ).
tff(f883,plain,
( $less(0,abs1(1))
| ( 0 = 1 ) ),
inference(superposition,[],[f570,f543]) ).
tff(f713,plain,
~ spl16_14,
inference(avatar_split_clause,[],[f703,f711]) ).
tff(f711,plain,
( spl16_14
<=> odd1(-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
tff(f703,plain,
~ odd1(-2),
inference(evaluation,[],[f700]) ).
tff(f700,plain,
~ odd1($uminus(2)),
inference(resolution,[],[f689,f533]) ).
tff(f709,plain,
spl16_13,
inference(avatar_split_clause,[],[f705,f707]) ).
tff(f707,plain,
( spl16_13
<=> even1(-2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
tff(f705,plain,
even1(-2),
inference(evaluation,[],[f701]) ).
tff(f701,plain,
even1($uminus(2)),
inference(resolution,[],[f689,f518]) ).
tff(f669,plain,
~ spl16_12,
inference(avatar_split_clause,[],[f659,f667]) ).
tff(f659,plain,
~ odd1(0),
inference(resolution,[],[f533,f564]) ).
tff(f665,plain,
~ spl16_11,
inference(avatar_split_clause,[],[f660,f663]) ).
tff(f663,plain,
( spl16_11
<=> odd1(2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
tff(f660,plain,
~ odd1(2),
inference(resolution,[],[f533,f566]) ).
tff(f656,plain,
spl16_10,
inference(avatar_split_clause,[],[f646,f654]) ).
tff(f646,plain,
even1(0),
inference(resolution,[],[f518,f564]) ).
tff(f652,plain,
spl16_9,
inference(avatar_split_clause,[],[f647,f650]) ).
tff(f647,plain,
even1(2),
inference(resolution,[],[f518,f566]) ).
tff(f640,plain,
~ spl16_8,
inference(avatar_split_clause,[],[f574,f638]) ).
tff(f574,plain,
~ $less(sK11,sK12),
inference(cnf_transformation,[],[f432]) ).
tff(f432,plain,
( ~ $less(sK11,sK12)
& ( ( gcd1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ) )
& ~ $less(sK12,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f430,f431]) ).
tff(f431,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X0,X1)
& ( ( gcd1($sum($sum($product(2,X0),1),$uminus($product(1,$sum($product(2,X1),1)))),$sum($product(2,X1),1)) != gcd1($sum($product(2,X0),1),$sum($product(2,X1),1)) )
| ( gcd1($sum(X0,$uminus(X1)),$sum($product(2,X1),1)) != gcd1($sum($product(2,X0),1),$sum($product(2,X1),1)) ) )
& ~ $less(X1,0) )
=> ( ~ $less(sK11,sK12)
& ( ( gcd1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) )
| ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) ) )
& ~ $less(sK12,0) ) ),
introduced(choice_axiom,[]) ).
tff(f430,plain,
? [X0: $int,X1: $int] :
( ~ $less(X0,X1)
& ( ( gcd1($sum($sum($product(2,X0),1),$uminus($product(1,$sum($product(2,X1),1)))),$sum($product(2,X1),1)) != gcd1($sum($product(2,X0),1),$sum($product(2,X1),1)) )
| ( gcd1($sum(X0,$uminus(X1)),$sum($product(2,X1),1)) != gcd1($sum($product(2,X0),1),$sum($product(2,X1),1)) ) )
& ~ $less(X1,0) ),
inference(rectify,[],[f288]) ).
tff(f288,plain,
? [X1: $int,X0: $int] :
( ~ $less(X1,X0)
& ( ( gcd1($sum($sum($product(2,X1),1),$uminus($product(1,$sum($product(2,X0),1)))),$sum($product(2,X0),1)) != gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) )
| ( gcd1($sum(X1,$uminus(X0)),$sum($product(2,X0),1)) != gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) ) )
& ~ $less(X0,0) ),
inference(flattening,[],[f287]) ).
tff(f287,plain,
? [X0: $int,X1: $int] :
( ( ( gcd1($sum($sum($product(2,X1),1),$uminus($product(1,$sum($product(2,X0),1)))),$sum($product(2,X0),1)) != gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) )
| ( gcd1($sum(X1,$uminus(X0)),$sum($product(2,X0),1)) != gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) ) )
& ~ $less(X1,X0)
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f245]) ).
tff(f245,plain,
~ ! [X0: $int,X1: $int] :
( ( ~ $less(X1,X0)
& ~ $less(X0,0) )
=> ( ( gcd1($sum($sum($product(2,X1),1),$uminus($product(1,$sum($product(2,X0),1)))),$sum($product(2,X0),1)) = gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) )
& ( gcd1($sum(X1,$uminus(X0)),$sum($product(2,X0),1)) = gcd1($sum($product(2,X1),1),$sum($product(2,X0),1)) ) ) ),
inference(rectify,[],[f148]) ).
tff(f148,plain,
~ ! [X21: $int,X6: $int] :
( ( ~ $less(X21,0)
& ~ $less(X6,X21) )
=> ( ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($sum($sum($product(2,X6),1),$uminus($product(1,$sum($product(2,X21),1)))),$sum($product(2,X21),1)) )
& ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($sum(X6,$uminus(X21)),$sum($product(2,X21),1)) ) ) ),
inference(theory_normalization,[],[f116]) ).
tff(f116,negated_conjecture,
~ ! [X21: $int,X6: $int] :
( ( $lesseq(0,X21)
& $lesseq(X21,X6) )
=> ( ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($difference($sum($product(2,X6),1),$product(1,$sum($product(2,X21),1))),$sum($product(2,X21),1)) )
& ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($difference(X6,X21),$sum($product(2,X21),1)) ) ) ),
inference(negated_conjecture,[],[f115]) ).
tff(f115,conjecture,
! [X21: $int,X6: $int] :
( ( $lesseq(0,X21)
& $lesseq(X21,X6) )
=> ( ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($difference($sum($product(2,X6),1),$product(1,$sum($product(2,X21),1))),$sum($product(2,X21),1)) )
& ( gcd1($sum($product(2,X6),1),$sum($product(2,X21),1)) = gcd1($difference(X6,X21),$sum($product(2,X21),1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_gcd_odd_odd) ).
tff(f636,plain,
spl16_7,
inference(avatar_split_clause,[],[f485,f634]) ).
tff(f485,plain,
prime1(3),
inference(cnf_transformation,[],[f102]) ).
tff(f102,axiom,
prime1(3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_3) ).
tff(f632,plain,
( ~ spl16_5
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f573,f630,f627]) ).
tff(f573,plain,
( ( gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) != gcd1($sum(sK11,$uminus(sK12)),$sum($product(2,sK12),1)) )
| ( gcd1($sum($sum($product(2,sK11),1),$uminus($product(1,$sum($product(2,sK12),1)))),$sum($product(2,sK12),1)) != gcd1($sum($product(2,sK11),1),$sum($product(2,sK12),1)) ) ),
inference(cnf_transformation,[],[f432]) ).
tff(f625,plain,
spl16_4,
inference(avatar_split_clause,[],[f593,f623]) ).
tff(f593,plain,
prime1(2),
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
prime1(2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_2) ).
tff(f621,plain,
~ spl16_3,
inference(avatar_split_clause,[],[f572,f619]) ).
tff(f572,plain,
~ $less(sK12,0),
inference(cnf_transformation,[],[f432]) ).
tff(f617,plain,
~ spl16_2,
inference(avatar_split_clause,[],[f495,f615]) ).
tff(f615,plain,
( spl16_2
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
tff(f495,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False) ).
tff(f613,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f487,f611]) ).
tff(f611,plain,
( spl16_1
<=> prime1(1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
tff(f487,plain,
~ prime1(1),
inference(cnf_transformation,[],[f100]) ).
tff(f100,axiom,
~ prime1(1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_prime_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW601=2 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 20:52:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (10113)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (10113)Instruction limit reached!
% 0.19/0.49 % (10113)------------------------------
% 0.19/0.49 % (10113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (10121)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (10113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10113)Termination reason: Unknown
% 0.19/0.50 % (10113)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (10113)Memory used [KB]: 1023
% 0.19/0.50 % (10113)Time elapsed: 0.003 s
% 0.19/0.50 % (10113)Instructions burned: 3 (million)
% 0.19/0.50 % (10113)------------------------------
% 0.19/0.50 % (10113)------------------------------
% 0.19/0.50 % (10126)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)
% 0.19/0.50 % (10129)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.50 % (10118)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)
% 0.19/0.51 % (10108)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)
% 0.19/0.51 % (10110)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)
% 0.19/0.51 % (10106)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)
% 0.19/0.52 % (10133)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.19/0.53 % (10107)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (10104)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.53 % (10132)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53 % (10109)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)
% 0.19/0.53 % (10114)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.53 % (10115)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)
% 0.19/0.53 % (10111)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)
% 1.45/0.53 % (10115)Instruction limit reached!
% 1.45/0.53 % (10115)------------------------------
% 1.45/0.53 % (10115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (10115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (10115)Termination reason: Unknown
% 1.45/0.53 % (10115)Termination phase: Including theory axioms
% 1.45/0.53
% 1.45/0.53 % (10115)Memory used [KB]: 1023
% 1.45/0.53 % (10115)Time elapsed: 0.003 s
% 1.45/0.53 % (10115)Instructions burned: 5 (million)
% 1.45/0.53 % (10115)------------------------------
% 1.45/0.53 % (10115)------------------------------
% 1.45/0.53 % (10124)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)
% 1.45/0.54 % (10112)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)
% 1.45/0.54 % (10131)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.45/0.54 % (10106)Instruction limit reached!
% 1.45/0.54 % (10106)------------------------------
% 1.45/0.54 % (10106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (10106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (10106)Termination reason: Unknown
% 1.45/0.54 % (10106)Termination phase: Property scanning
% 1.45/0.54
% 1.45/0.54 % (10106)Memory used [KB]: 1279
% 1.45/0.54 % (10106)Time elapsed: 0.006 s
% 1.45/0.54 % (10106)Instructions burned: 9 (million)
% 1.45/0.54 % (10106)------------------------------
% 1.45/0.54 % (10106)------------------------------
% 1.45/0.54 % (10125)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)
% 1.45/0.54 % (10128)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)
% 1.45/0.54 % (10116)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)
% 1.45/0.54 % (10130)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.45/0.54 % (10116)Instruction limit reached!
% 1.45/0.54 % (10116)------------------------------
% 1.45/0.54 % (10116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (10116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (10116)Termination reason: Unknown
% 1.45/0.54 % (10116)Termination phase: Property scanning
% 1.45/0.54
% 1.45/0.54 % (10116)Memory used [KB]: 1023
% 1.45/0.54 % (10116)Time elapsed: 0.002 s
% 1.45/0.54 % (10116)Instructions burned: 2 (million)
% 1.45/0.54 % (10116)------------------------------
% 1.45/0.54 % (10116)------------------------------
% 1.45/0.54 % (10105)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)
% 1.45/0.54 % (10117)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.45/0.54 % (10123)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)
% 1.45/0.54 % (10123)Instruction limit reached!
% 1.45/0.54 % (10123)------------------------------
% 1.45/0.54 % (10123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (10123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (10123)Termination reason: Unknown
% 1.45/0.54 % (10123)Termination phase: Property scanning
% 1.45/0.54
% 1.45/0.54 % (10123)Memory used [KB]: 1023
% 1.45/0.54 % (10123)Time elapsed: 0.002 s
% 1.45/0.54 % (10123)Instructions burned: 2 (million)
% 1.45/0.54 % (10123)------------------------------
% 1.45/0.54 % (10123)------------------------------
% 1.45/0.55 % (10120)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.55 % (10122)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)
% 1.45/0.55 % (10120)Instruction limit reached!
% 1.45/0.55 % (10120)------------------------------
% 1.45/0.55 % (10120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (10120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (10120)Termination reason: Unknown
% 1.45/0.55 % (10120)Termination phase: shuffling
% 1.45/0.55
% 1.45/0.55 % (10120)Memory used [KB]: 1023
% 1.45/0.55 % (10120)Time elapsed: 0.003 s
% 1.45/0.55 % (10120)Instructions burned: 3 (million)
% 1.45/0.55 % (10120)------------------------------
% 1.45/0.55 % (10120)------------------------------
% 1.58/0.55 % (10107)Instruction limit reached!
% 1.58/0.55 % (10107)------------------------------
% 1.58/0.55 % (10107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (10107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (10107)Termination reason: Unknown
% 1.58/0.55 % (10107)Termination phase: Property scanning
% 1.58/0.55
% 1.58/0.55 % (10107)Memory used [KB]: 1023
% 1.58/0.55 % (10107)Time elapsed: 0.002 s
% 1.58/0.55 % (10107)Instructions burned: 2 (million)
% 1.58/0.55 % (10107)------------------------------
% 1.58/0.55 % (10107)------------------------------
% 1.58/0.55 % (10124)Instruction limit reached!
% 1.58/0.55 % (10124)------------------------------
% 1.58/0.55 % (10124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (10124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (10124)Termination reason: Unknown
% 1.58/0.55 % (10124)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (10124)Memory used [KB]: 1535
% 1.58/0.55 % (10124)Time elapsed: 0.009 s
% 1.58/0.55 % (10124)Instructions burned: 16 (million)
% 1.58/0.55 % (10124)------------------------------
% 1.58/0.55 % (10124)------------------------------
% 1.58/0.55 % (10109)Instruction limit reached!
% 1.58/0.55 % (10109)------------------------------
% 1.58/0.55 % (10109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (10109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (10109)Termination reason: Unknown
% 1.58/0.55 % (10109)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (10109)Memory used [KB]: 5756
% 1.58/0.55 % (10109)Time elapsed: 0.142 s
% 1.58/0.55 % (10109)Instructions burned: 15 (million)
% 1.58/0.55 % (10109)------------------------------
% 1.58/0.55 % (10109)------------------------------
% 1.58/0.55 % (10127)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)
% 1.58/0.55 % (10129)Instruction limit reached!
% 1.58/0.55 % (10129)------------------------------
% 1.58/0.55 % (10129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (10129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (10129)Termination reason: Unknown
% 1.58/0.55 % (10129)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (10129)Memory used [KB]: 6524
% 1.58/0.55 % (10129)Time elapsed: 0.148 s
% 1.58/0.55 % (10129)Instructions burned: 42 (million)
% 1.58/0.55 % (10129)------------------------------
% 1.58/0.55 % (10129)------------------------------
% 1.58/0.56 % (10119)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)
% 1.58/0.56 % (10119)Instruction limit reached!
% 1.58/0.56 % (10119)------------------------------
% 1.58/0.56 % (10119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (10119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (10119)Termination reason: Unknown
% 1.58/0.56 % (10119)Termination phase: Property scanning
% 1.58/0.56
% 1.58/0.56 % (10119)Memory used [KB]: 1023
% 1.58/0.56 % (10119)Time elapsed: 0.003 s
% 1.58/0.56 % (10119)Instructions burned: 3 (million)
% 1.58/0.56 % (10119)------------------------------
% 1.58/0.56 % (10119)------------------------------
% 1.58/0.56 % (10121)Instruction limit reached!
% 1.58/0.56 % (10121)------------------------------
% 1.58/0.56 % (10121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (10121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (10121)Termination reason: Unknown
% 1.58/0.56 % (10121)Termination phase: Saturation
% 1.58/0.56
% 1.58/0.56 % (10121)Memory used [KB]: 6268
% 1.58/0.56 % (10121)Time elapsed: 0.153 s
% 1.58/0.56 % (10121)Instructions burned: 49 (million)
% 1.58/0.56 % (10121)------------------------------
% 1.58/0.56 % (10121)------------------------------
% 1.58/0.56 % (10132)Instruction limit reached!
% 1.58/0.56 % (10132)------------------------------
% 1.58/0.56 % (10132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (10132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (10132)Termination reason: Unknown
% 1.58/0.56 % (10132)Termination phase: Saturation
% 1.58/0.56
% 1.58/0.56 % (10132)Memory used [KB]: 5884
% 1.58/0.56 % (10132)Time elapsed: 0.148 s
% 1.58/0.56 % (10132)Instructions burned: 22 (million)
% 1.58/0.56 % (10132)------------------------------
% 1.58/0.56 % (10132)------------------------------
% 1.58/0.57 % (10110)Instruction limit reached!
% 1.58/0.57 % (10110)------------------------------
% 1.58/0.57 % (10110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (10110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (10110)Termination reason: Unknown
% 1.58/0.57 % (10110)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (10110)Memory used [KB]: 6012
% 1.58/0.57 % (10110)Time elapsed: 0.110 s
% 1.58/0.57 % (10110)Instructions burned: 32 (million)
% 1.58/0.57 % (10110)------------------------------
% 1.58/0.57 % (10110)------------------------------
% 1.58/0.57 % (10122)Instruction limit reached!
% 1.58/0.57 % (10122)------------------------------
% 1.58/0.57 % (10122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (10122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (10122)Termination reason: Unknown
% 1.58/0.57 % (10122)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (10122)Memory used [KB]: 5884
% 1.58/0.57 % (10122)Time elapsed: 0.166 s
% 1.58/0.57 % (10122)Instructions burned: 16 (million)
% 1.58/0.57 % (10122)------------------------------
% 1.58/0.57 % (10122)------------------------------
% 1.58/0.57 % (10125)Instruction limit reached!
% 1.58/0.57 % (10125)------------------------------
% 1.58/0.57 % (10125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (10125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (10125)Termination reason: Unknown
% 1.58/0.57 % (10125)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (10125)Memory used [KB]: 6012
% 1.58/0.57 % (10125)Time elapsed: 0.153 s
% 1.58/0.57 % (10125)Instructions burned: 22 (million)
% 1.58/0.57 % (10125)------------------------------
% 1.58/0.57 % (10125)------------------------------
% 1.58/0.57 % (10117)Instruction limit reached!
% 1.58/0.57 % (10117)------------------------------
% 1.58/0.57 % (10117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (10117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (10117)Termination reason: Unknown
% 1.58/0.57 % (10117)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (10117)Memory used [KB]: 5884
% 1.58/0.57 % (10117)Time elapsed: 0.182 s
% 1.58/0.57 % (10117)Instructions burned: 21 (million)
% 1.58/0.57 % (10117)------------------------------
% 1.58/0.57 % (10117)------------------------------
% 1.58/0.57 % (10126)Instruction limit reached!
% 1.58/0.57 % (10126)------------------------------
% 1.58/0.57 % (10126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (10126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (10126)Termination reason: Unknown
% 1.58/0.57 % (10126)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (10126)Memory used [KB]: 1663
% 1.58/0.57 % (10126)Time elapsed: 0.111 s
% 1.58/0.57 % (10126)Instructions burned: 47 (million)
% 1.58/0.57 % (10126)------------------------------
% 1.58/0.57 % (10126)------------------------------
% 1.58/0.58 % (10114)Instruction limit reached!
% 1.58/0.58 % (10114)------------------------------
% 1.58/0.58 % (10114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (10114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (10114)Termination reason: Unknown
% 1.58/0.58 % (10114)Termination phase: Saturation
% 1.58/0.58
% 1.58/0.58 % (10114)Memory used [KB]: 6268
% 1.58/0.58 % (10114)Time elapsed: 0.160 s
% 1.58/0.58 % (10114)Instructions burned: 36 (million)
% 1.58/0.58 % (10114)------------------------------
% 1.58/0.58 % (10114)------------------------------
% 1.58/0.58 % (10108)Instruction limit reached!
% 1.58/0.58 % (10108)------------------------------
% 1.58/0.58 % (10108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (10108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (10108)Termination reason: Unknown
% 1.58/0.58 % (10108)Termination phase: Saturation
% 1.58/0.58
% 1.58/0.58 % (10108)Memory used [KB]: 6268
% 1.58/0.58 % (10108)Time elapsed: 0.186 s
% 1.58/0.58 % (10108)Instructions burned: 38 (million)
% 1.58/0.58 % (10108)------------------------------
% 1.58/0.58 % (10108)------------------------------
% 1.58/0.58 % (10118)Instruction limit reached!
% 1.58/0.58 % (10118)------------------------------
% 1.58/0.58 % (10118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (10118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (10118)Termination reason: Unknown
% 1.58/0.58 % (10118)Termination phase: Saturation
% 1.58/0.58
% 1.58/0.58 % (10118)Memory used [KB]: 6780
% 1.58/0.58 % (10118)Time elapsed: 0.127 s
% 1.58/0.58 % (10118)Instructions burned: 51 (million)
% 1.58/0.58 % (10118)------------------------------
% 1.58/0.58 % (10118)------------------------------
% 1.58/0.59 % (10131)Instruction limit reached!
% 1.58/0.59 % (10131)------------------------------
% 1.58/0.59 % (10131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (10131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (10131)Termination reason: Unknown
% 1.58/0.59 % (10131)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (10131)Memory used [KB]: 6012
% 1.58/0.59 % (10131)Time elapsed: 0.172 s
% 1.58/0.59 % (10131)Instructions burned: 22 (million)
% 1.58/0.59 % (10131)------------------------------
% 1.58/0.59 % (10131)------------------------------
% 1.58/0.59 % (10111)Instruction limit reached!
% 1.58/0.59 % (10111)------------------------------
% 1.58/0.59 % (10111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (10111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (10111)Termination reason: Unknown
% 1.58/0.59 % (10111)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (10111)Memory used [KB]: 6268
% 1.58/0.59 % (10111)Time elapsed: 0.184 s
% 1.58/0.59 % (10111)Instructions burned: 36 (million)
% 1.58/0.59 % (10111)------------------------------
% 1.58/0.59 % (10111)------------------------------
% 1.58/0.59 % (10112)Instruction limit reached!
% 1.58/0.59 % (10112)------------------------------
% 1.58/0.59 % (10112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (10112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (10112)Termination reason: Unknown
% 1.58/0.59 % (10112)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (10112)Memory used [KB]: 6140
% 1.58/0.59 % (10112)Time elapsed: 0.165 s
% 1.58/0.59 % (10112)Instructions burned: 26 (million)
% 1.58/0.59 % (10112)------------------------------
% 1.58/0.59 % (10112)------------------------------
% 1.58/0.59 % (10105)Instruction limit reached!
% 1.58/0.59 % (10105)------------------------------
% 1.58/0.59 % (10105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (10105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (10105)Termination reason: Unknown
% 1.58/0.59 % (10105)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (10105)Memory used [KB]: 6268
% 1.58/0.59 % (10105)Time elapsed: 0.194 s
% 1.58/0.59 % (10105)Instructions burned: 35 (million)
% 1.58/0.59 % (10105)------------------------------
% 1.58/0.59 % (10105)------------------------------
% 1.58/0.60 % (10133)Instruction limit reached!
% 1.58/0.60 % (10133)------------------------------
% 1.58/0.60 % (10133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (10133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (10133)Termination reason: Unknown
% 1.58/0.60 % (10133)Termination phase: Saturation
% 1.58/0.60
% 1.58/0.60 % (10133)Memory used [KB]: 6268
% 1.58/0.60 % (10133)Time elapsed: 0.197 s
% 1.58/0.60 % (10133)Instructions burned: 43 (million)
% 1.58/0.60 % (10133)------------------------------
% 1.58/0.60 % (10133)------------------------------
% 1.58/0.61 % (10130)Instruction limit reached!
% 1.58/0.61 % (10130)------------------------------
% 1.58/0.61 % (10130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61 % (10130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61 % (10130)Termination reason: Unknown
% 1.58/0.61 % (10130)Termination phase: Saturation
% 1.58/0.61
% 1.58/0.61 % (10130)Memory used [KB]: 7036
% 1.58/0.61 % (10130)Time elapsed: 0.177 s
% 1.58/0.61 % (10130)Instructions burned: 44 (million)
% 1.58/0.61 % (10130)------------------------------
% 1.58/0.61 % (10130)------------------------------
% 1.98/0.63 % (10134)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)
% 1.98/0.63 % (10127)Instruction limit reached!
% 1.98/0.63 % (10127)------------------------------
% 1.98/0.63 % (10127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (10127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (10127)Termination reason: Unknown
% 1.98/0.63 % (10127)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (10127)Memory used [KB]: 6268
% 1.98/0.63 % (10127)Time elapsed: 0.238 s
% 1.98/0.63 % (10127)Instructions burned: 50 (million)
% 1.98/0.63 % (10127)------------------------------
% 1.98/0.63 % (10127)------------------------------
% 1.98/0.63 % (10128)Instruction limit reached!
% 1.98/0.63 % (10128)------------------------------
% 1.98/0.63 % (10128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (10128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (10128)Termination reason: Unknown
% 1.98/0.63 % (10128)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (10128)Memory used [KB]: 2046
% 1.98/0.63 % (10128)Time elapsed: 0.238 s
% 1.98/0.63 % (10128)Instructions burned: 48 (million)
% 1.98/0.63 % (10128)------------------------------
% 1.98/0.63 % (10128)------------------------------
% 1.98/0.66 % (10143)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)
% 1.98/0.67 % (10137)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.04/0.67 % (10145)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)
% 2.04/0.68 % (10140)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)
% 2.04/0.68 % (10138)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.04/0.68 % (10141)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.04/0.68 % (10144)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)
% 2.04/0.68 % (10136)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.04/0.68 % (10134)Instruction limit reached!
% 2.04/0.68 % (10134)------------------------------
% 2.04/0.68 % (10134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.68 % (10134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.68 % (10134)Termination reason: Unknown
% 2.04/0.68 % (10134)Termination phase: Saturation
% 2.04/0.68
% 2.04/0.68 % (10134)Memory used [KB]: 5884
% 2.04/0.68 % (10134)Time elapsed: 0.119 s
% 2.04/0.68 % (10134)Instructions burned: 16 (million)
% 2.04/0.68 % (10134)------------------------------
% 2.04/0.68 % (10134)------------------------------
% 2.04/0.68 % (10139)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.04/0.69 % (10142)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)
% 2.04/0.69 % (10135)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)
% 2.04/0.70 % (10149)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)
% 2.04/0.70 % (10150)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)
% 2.04/0.71 % (10136)Instruction limit reached!
% 2.04/0.71 % (10136)------------------------------
% 2.04/0.71 % (10136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.71 % (10136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.71 % (10136)Termination reason: Unknown
% 2.04/0.71 % (10136)Termination phase: Saturation
% 2.04/0.71
% 2.04/0.71 % (10136)Memory used [KB]: 6012
% 2.04/0.71 % (10136)Time elapsed: 0.120 s
% 2.04/0.71 % (10136)Instructions burned: 25 (million)
% 2.04/0.71 % (10136)------------------------------
% 2.04/0.71 % (10136)------------------------------
% 2.04/0.71 % (10151)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)
% 2.04/0.71 % (10148)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)
% 2.04/0.71 % (10147)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)
% 2.04/0.72 % (10146)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)
% 2.04/0.72 % (10153)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)
% 2.04/0.72 % (10152)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)
% 2.04/0.72 % (10157)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.04/0.72 % (10154)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)
% 2.04/0.72 % (10156)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)
% 2.04/0.73 % (10155)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.04/0.74 % (10159)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.11/0.75 % (10158)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.11/0.75 % (10160)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.12/0.77 % (10135)Instruction limit reached!
% 2.12/0.77 % (10135)------------------------------
% 2.12/0.77 % (10135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.77 % (10135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.77 % (10135)Termination reason: Unknown
% 2.12/0.77 % (10135)Termination phase: Saturation
% 2.12/0.77
% 2.12/0.77 % (10135)Memory used [KB]: 6268
% 2.12/0.77 % (10135)Time elapsed: 0.168 s
% 2.12/0.77 % (10135)Instructions burned: 48 (million)
% 2.12/0.77 % (10135)------------------------------
% 2.12/0.77 % (10135)------------------------------
% 2.12/0.78 % (10161)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)
% 2.12/0.79 % (10140)Instruction limit reached!
% 2.12/0.79 % (10140)------------------------------
% 2.12/0.79 % (10140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.79 % (10140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.79 % (10140)Termination reason: Unknown
% 2.12/0.79 % (10140)Termination phase: Saturation
% 2.12/0.79
% 2.12/0.79 % (10140)Memory used [KB]: 7036
% 2.12/0.79 % (10140)Time elapsed: 0.209 s
% 2.12/0.79 % (10140)Instructions burned: 59 (million)
% 2.12/0.79 % (10140)------------------------------
% 2.12/0.79 % (10140)------------------------------
% 2.12/0.80 % (10162)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.24/0.82 % (10141)Instruction limit reached!
% 2.24/0.82 % (10141)------------------------------
% 2.24/0.82 % (10141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.82 % (10141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.82 % (10141)Termination reason: Unknown
% 2.24/0.82 % (10141)Termination phase: Saturation
% 2.24/0.82
% 2.24/0.82 % (10141)Memory used [KB]: 6012
% 2.24/0.82 % (10141)Time elapsed: 0.221 s
% 2.24/0.82 % (10141)Instructions burned: 97 (million)
% 2.24/0.82 % (10141)------------------------------
% 2.24/0.82 % (10141)------------------------------
% 2.24/0.83 % (10163)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 (2996ds/360Mi)
% 2.24/0.84 % (10139)Instruction limit reached!
% 2.24/0.84 % (10139)------------------------------
% 2.24/0.84 % (10139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.84 % (10139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.84 % (10139)Termination reason: Unknown
% 2.24/0.84 % (10139)Termination phase: Saturation
% 2.24/0.84
% 2.24/0.84 % (10139)Memory used [KB]: 6908
% 2.24/0.84 % (10139)Time elapsed: 0.265 s
% 2.24/0.84 % (10139)Instructions burned: 76 (million)
% 2.24/0.84 % (10139)------------------------------
% 2.24/0.84 % (10139)------------------------------
% 2.24/0.84 % (10142)Instruction limit reached!
% 2.24/0.84 % (10142)------------------------------
% 2.24/0.84 % (10142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.84 % (10142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.84 % (10142)Termination reason: Unknown
% 2.24/0.84 % (10142)Termination phase: Saturation
% 2.24/0.84
% 2.24/0.84 % (10142)Memory used [KB]: 6140
% 2.24/0.84 % (10142)Time elapsed: 0.048 s
% 2.24/0.84 % (10142)Instructions burned: 108 (million)
% 2.24/0.84 % (10142)------------------------------
% 2.24/0.84 % (10142)------------------------------
% 2.48/0.85 % (10152)Instruction limit reached!
% 2.48/0.85 % (10152)------------------------------
% 2.48/0.85 % (10152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.85 % (10152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.85 % (10152)Termination reason: Unknown
% 2.48/0.85 % (10152)Termination phase: Saturation
% 2.48/0.85
% 2.48/0.85 % (10152)Memory used [KB]: 6780
% 2.48/0.85 % (10152)Time elapsed: 0.255 s
% 2.48/0.85 % (10152)Instructions burned: 81 (million)
% 2.48/0.85 % (10152)------------------------------
% 2.48/0.85 % (10152)------------------------------
% 2.48/0.86 % (10138)Instruction limit reached!
% 2.48/0.86 % (10138)------------------------------
% 2.48/0.86 % (10138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.86 % (10138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.86 % (10138)Termination reason: Unknown
% 2.48/0.86 % (10138)Termination phase: Saturation
% 2.48/0.86
% 2.48/0.86 % (10138)Memory used [KB]: 7291
% 2.48/0.86 % (10138)Time elapsed: 0.288 s
% 2.48/0.86 % (10138)Instructions burned: 101 (million)
% 2.48/0.86 % (10138)------------------------------
% 2.48/0.86 % (10138)------------------------------
% 2.48/0.87 % (10164)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.48/0.92 % (10148)Instruction limit reached!
% 2.48/0.92 % (10148)------------------------------
% 2.48/0.92 % (10148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.92 % (10148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.92 % (10148)Termination reason: Unknown
% 2.48/0.92 % (10148)Termination phase: Saturation
% 2.48/0.92
% 2.48/0.92 % (10148)Memory used [KB]: 1535
% 2.48/0.92 % (10148)Time elapsed: 0.308 s
% 2.48/0.92 % (10148)Instructions burned: 150 (million)
% 2.48/0.92 % (10148)------------------------------
% 2.48/0.92 % (10148)------------------------------
% 2.74/0.92 % (10165)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)
% 2.74/0.93 % (10166)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.74/0.94 % (10145)Instruction limit reached!
% 2.74/0.94 % (10145)------------------------------
% 2.74/0.94 % (10145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.94 % (10153)Instruction limit reached!
% 2.74/0.94 % (10153)------------------------------
% 2.74/0.94 % (10153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.94 % (10153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.94 % (10153)Termination reason: Unknown
% 2.74/0.94 % (10153)Termination phase: Saturation
% 2.74/0.94
% 2.74/0.94 % (10153)Memory used [KB]: 1791
% 2.74/0.94 % (10153)Time elapsed: 0.317 s
% 2.74/0.94 % (10153)Instructions burned: 147 (million)
% 2.74/0.94 % (10153)------------------------------
% 2.74/0.94 % (10153)------------------------------
% 2.74/0.94 % (10145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.94 % (10145)Termination reason: Unknown
% 2.74/0.94 % (10145)Termination phase: Saturation
% 2.74/0.94
% 2.74/0.94 % (10145)Memory used [KB]: 1918
% 2.74/0.94 % (10145)Time elapsed: 0.283 s
% 2.74/0.94 % (10145)Instructions burned: 223 (million)
% 2.74/0.94 % (10145)------------------------------
% 2.74/0.94 % (10145)------------------------------
% 2.74/0.94 % (10137)Instruction limit reached!
% 2.74/0.94 % (10137)------------------------------
% 2.74/0.94 % (10137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.94 % (10137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.94 % (10137)Termination reason: Unknown
% 2.74/0.94 % (10137)Termination phase: Saturation
% 2.74/0.94
% 2.74/0.94 % (10137)Memory used [KB]: 7164
% 2.74/0.94 % (10137)Time elapsed: 0.348 s
% 2.74/0.94 % (10137)Instructions burned: 150 (million)
% 2.74/0.94 % (10137)------------------------------
% 2.74/0.94 % (10137)------------------------------
% 2.74/0.94 % (10149)Instruction limit reached!
% 2.74/0.94 % (10149)------------------------------
% 2.74/0.94 % (10149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.94 % (10149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.94 % (10149)Termination reason: Unknown
% 2.74/0.94 % (10149)Termination phase: Saturation
% 2.74/0.94
% 2.74/0.94 % (10149)Memory used [KB]: 1791
% 2.74/0.94 % (10149)Time elapsed: 0.352 s
% 2.74/0.94 % (10149)Instructions burned: 162 (million)
% 2.74/0.94 % (10149)------------------------------
% 2.74/0.94 % (10149)------------------------------
% 2.74/0.97 % (10167)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 3.22/0.98 % (10169)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.22/0.98 % (10168)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 3.22/0.99 % (10170)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.22/1.00 % (10171)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.24/1.05 % (10175)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3528Mi)
% 3.24/1.06 % (10172)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.24/1.07 % (10173)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.24/1.08 % (10174)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 5.74/1.08 % (10154)Instruction limit reached!
% 5.74/1.08 % (10154)------------------------------
% 5.74/1.08 % (10154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.08 % (10154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.08 % (10154)Termination reason: Unknown
% 5.74/1.08 % (10154)Termination phase: Saturation
% 5.74/1.08
% 5.74/1.08 % (10154)Memory used [KB]: 8315
% 5.74/1.08 % (10154)Time elapsed: 0.454 s
% 5.74/1.08 % (10154)Instructions burned: 212 (million)
% 5.74/1.08 % (10154)------------------------------
% 5.74/1.08 % (10154)------------------------------
% 5.74/1.08 % (10176)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 (2994ds/2304Mi)
% 6.16/1.13 % (10162)Refutation not found, non-redundant clauses discarded% (10162)------------------------------
% 6.16/1.13 % (10162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.13 % (10162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.13 % (10162)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.16/1.13
% 6.16/1.13 % (10162)Memory used [KB]: 1918
% 6.16/1.13 % (10162)Time elapsed: 0.456 s
% 6.16/1.13 % (10162)Instructions burned: 229 (million)
% 6.16/1.13 % (10162)------------------------------
% 6.16/1.13 % (10162)------------------------------
% 6.16/1.14 % (10158)Instruction limit reached!
% 6.16/1.14 % (10158)------------------------------
% 6.16/1.14 % (10158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.14 % (10158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.14 % (10158)Termination reason: Unknown
% 6.16/1.14 % (10158)Termination phase: Saturation
% 6.16/1.14
% 6.16/1.14 % (10158)Memory used [KB]: 8059
% 6.16/1.14 % (10158)Time elapsed: 0.519 s
% 6.16/1.14 % (10158)Instructions burned: 213 (million)
% 6.16/1.14 % (10158)------------------------------
% 6.16/1.14 % (10158)------------------------------
% 6.16/1.15 % (10143)Instruction limit reached!
% 6.16/1.15 % (10143)------------------------------
% 6.16/1.15 % (10143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.15 % (10143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.15 % (10143)Termination reason: Unknown
% 6.16/1.15 % (10143)Termination phase: Saturation
% 6.16/1.15
% 6.16/1.15 % (10143)Memory used [KB]: 6268
% 6.16/1.15 % (10143)Time elapsed: 0.499 s
% 6.16/1.15 % (10143)Instructions burned: 463 (million)
% 6.16/1.15 % (10143)------------------------------
% 6.16/1.15 % (10143)------------------------------
% 6.16/1.15 % (10157)Instruction limit reached!
% 6.16/1.15 % (10157)------------------------------
% 6.16/1.15 % (10157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.15 % (10157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.15 % (10157)Termination reason: Unknown
% 6.16/1.15 % (10157)Termination phase: Saturation
% 6.16/1.15
% 6.16/1.15 % (10157)Memory used [KB]: 2046
% 6.16/1.15 % (10157)Time elapsed: 0.544 s
% 6.16/1.15 % (10157)Instructions burned: 295 (million)
% 6.16/1.15 % (10157)------------------------------
% 6.16/1.15 % (10157)------------------------------
% 6.37/1.18 % (10155)Instruction limit reached!
% 6.37/1.18 % (10155)------------------------------
% 6.37/1.18 % (10155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.37/1.18 % (10155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.37/1.18 % (10155)Termination reason: Unknown
% 6.37/1.18 % (10155)Termination phase: Saturation
% 6.37/1.18
% 6.37/1.18 % (10155)Memory used [KB]: 8443
% 6.37/1.18 % (10155)Time elapsed: 0.551 s
% 6.37/1.18 % (10155)Instructions burned: 275 (million)
% 6.37/1.18 % (10155)------------------------------
% 6.37/1.18 % (10155)------------------------------
% 6.37/1.22 % (10177)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 (2992ds/3780Mi)
% 6.84/1.23 % (10173)Instruction limit reached!
% 6.84/1.23 % (10173)------------------------------
% 6.84/1.23 % (10173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.84/1.23 % (10173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.84/1.23 % (10173)Termination reason: Unknown
% 6.84/1.23 % (10173)Termination phase: Saturation
% 6.84/1.23
% 6.84/1.23 % (10173)Memory used [KB]: 1407
% 6.84/1.23 % (10173)Time elapsed: 0.233 s
% 6.84/1.23 % (10173)Instructions burned: 114 (million)
% 6.84/1.23 % (10173)------------------------------
% 6.84/1.23 % (10173)------------------------------
% 6.84/1.25 % (10150)Instruction limit reached!
% 6.84/1.25 % (10150)------------------------------
% 6.84/1.25 % (10150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.84/1.25 % (10150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.84/1.25 % (10150)Termination reason: Unknown
% 6.84/1.25 % (10150)Termination phase: Saturation
% 6.84/1.25
% 6.84/1.25 % (10150)Memory used [KB]: 2302
% 6.84/1.25 % (10150)Time elapsed: 0.639 s
% 6.84/1.25 % (10150)Instructions burned: 373 (million)
% 6.84/1.25 % (10150)------------------------------
% 6.84/1.25 % (10150)------------------------------
% 7.12/1.27 % (10146)Instruction limit reached!
% 7.12/1.27 % (10146)------------------------------
% 7.12/1.27 % (10146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.27 % (10146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.27 % (10146)Termination reason: Unknown
% 7.12/1.27 % (10146)Termination phase: Saturation
% 7.12/1.27
% 7.12/1.27 % (10146)Memory used [KB]: 2302
% 7.12/1.27 % (10146)Time elapsed: 0.675 s
% 7.12/1.27 % (10146)Instructions burned: 344 (million)
% 7.12/1.27 % (10146)------------------------------
% 7.12/1.27 % (10146)------------------------------
% 7.12/1.27 % (10180)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/485Mi)
% 7.12/1.27 % (10179)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 7.12/1.28 % (10178)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 7.12/1.29 % (10181)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1302Mi)
% 7.12/1.32 % (10156)Instruction limit reached!
% 7.12/1.32 % (10156)------------------------------
% 7.12/1.32 % (10156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.32 % (10156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.32 % (10156)Termination reason: Unknown
% 7.12/1.32 % (10156)Termination phase: Saturation
% 7.12/1.32
% 7.12/1.32 % (10156)Memory used [KB]: 8443
% 7.12/1.32 % (10156)Time elapsed: 0.710 s
% 7.12/1.32 % (10156)Instructions burned: 332 (million)
% 7.12/1.32 % (10156)------------------------------
% 7.12/1.32 % (10156)------------------------------
% 7.12/1.32 % (10182)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/980Mi)
% 7.12/1.32 % (10159)Instruction limit reached!
% 7.12/1.32 % (10159)------------------------------
% 7.12/1.32 % (10159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.33 % (10159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.33 % (10159)Termination reason: Unknown
% 7.12/1.33 % (10159)Termination phase: Saturation
% 7.12/1.33
% 7.12/1.33 % (10159)Memory used [KB]: 3454
% 7.12/1.33 % (10159)Time elapsed: 0.693 s
% 7.12/1.33 % (10159)Instructions burned: 375 (million)
% 7.12/1.33 % (10159)------------------------------
% 7.12/1.33 % (10159)------------------------------
% 7.53/1.34 % (10144)Instruction limit reached!
% 7.53/1.34 % (10144)------------------------------
% 7.53/1.34 % (10144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.53/1.35 % (10183)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/591Mi)
% 7.53/1.36 % (10164)Instruction limit reached!
% 7.53/1.36 % (10164)------------------------------
% 7.53/1.36 % (10164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.53/1.36 % (10164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.53/1.36 % (10164)Termination reason: Unknown
% 7.53/1.36 % (10164)Termination phase: Saturation
% 7.53/1.36
% 7.53/1.36 % (10164)Memory used [KB]: 2558
% 7.53/1.36 % (10164)Time elapsed: 0.610 s
% 7.53/1.36 % (10164)Instructions burned: 382 (million)
% 7.53/1.36 % (10164)------------------------------
% 7.53/1.36 % (10164)------------------------------
% 7.53/1.36 % (10144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.53/1.36 % (10144)Termination reason: Unknown
% 7.53/1.36 % (10144)Termination phase: Saturation
% 7.53/1.36
% 7.53/1.36 % (10144)Memory used [KB]: 6908
% 7.53/1.36 % (10144)Time elapsed: 0.759 s
% 7.53/1.36 % (10144)Instructions burned: 494 (million)
% 7.53/1.36 % (10144)------------------------------
% 7.53/1.36 % (10144)------------------------------
% 7.53/1.37 % (10165)Instruction limit reached!
% 7.53/1.37 % (10165)------------------------------
% 7.53/1.37 % (10165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.53/1.37 % (10165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.53/1.37 % (10165)Termination reason: Unknown
% 7.53/1.37 % (10165)Termination phase: Saturation
% 7.53/1.37
% 7.53/1.37 % (10165)Memory used [KB]: 3326
% 7.53/1.37 % (10165)Time elapsed: 0.544 s
% 7.53/1.37 % (10165)Instructions burned: 256 (million)
% 7.53/1.37 % (10165)------------------------------
% 7.53/1.37 % (10165)------------------------------
% 7.70/1.39 % (10163)Instruction limit reached!
% 7.70/1.39 % (10163)------------------------------
% 7.70/1.39 % (10163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.39 % (10184)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/638Mi)
% 7.70/1.39 % (10163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.39 % (10163)Termination reason: Unknown
% 7.70/1.39 % (10163)Termination phase: Saturation
% 7.70/1.39
% 7.70/1.39 % (10163)Memory used [KB]: 2558
% 7.70/1.39 % (10163)Time elapsed: 0.651 s
% 7.70/1.39 % (10163)Instructions burned: 360 (million)
% 7.70/1.39 % (10163)------------------------------
% 7.70/1.39 % (10163)------------------------------
% 7.70/1.40 % (10147)Instruction limit reached!
% 7.70/1.40 % (10147)------------------------------
% 7.70/1.40 % (10147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.40 % (10147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.40 % (10147)Termination reason: Unknown
% 7.70/1.40 % (10147)Termination phase: Saturation
% 7.70/1.40
% 7.70/1.40 % (10147)Memory used [KB]: 7419
% 7.70/1.40 % (10147)Time elapsed: 0.804 s
% 7.70/1.40 % (10147)Instructions burned: 490 (million)
% 7.70/1.40 % (10147)------------------------------
% 7.70/1.40 % (10147)------------------------------
% 7.70/1.41 % (10185)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/947Mi)
% 7.70/1.43 % (10151)Instruction limit reached!
% 7.70/1.43 % (10151)------------------------------
% 7.70/1.43 % (10151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.43 % (10151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.43 % (10151)Termination reason: Unknown
% 7.70/1.43 % (10151)Termination phase: Saturation
% 7.70/1.43
% 7.70/1.43 % (10151)Memory used [KB]: 2814
% 7.70/1.43 % (10151)Time elapsed: 0.827 s
% 7.70/1.43 % (10151)Instructions burned: 493 (million)
% 7.70/1.43 % (10151)------------------------------
% 7.70/1.43 % (10151)------------------------------
% 7.99/1.46 % (10197)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/370Mi)
% 8.09/1.46 % (10189)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/691Mi)
% 8.09/1.49 % (10214)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 (2989ds/3058Mi)
% 8.09/1.49 % (10210)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 (2989ds/361Mi)
% 8.09/1.50 % (10161)Instruction limit reached!
% 8.09/1.50 % (10161)------------------------------
% 8.09/1.50 % (10161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.09/1.50 % (10161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.09/1.50 % (10161)Termination reason: Unknown
% 8.09/1.50 % (10161)Termination phase: Saturation
% 8.09/1.50
% 8.09/1.50 % (10161)Memory used [KB]: 7419
% 8.09/1.50 % (10161)Time elapsed: 0.822 s
% 8.09/1.50 % (10161)Instructions burned: 490 (million)
% 8.09/1.50 % (10161)------------------------------
% 8.09/1.50 % (10161)------------------------------
% 8.09/1.50 % (10218)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1198Mi)
% 8.09/1.52 % (10231)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2501Mi)
% 8.31/1.54 % (10236)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/256Mi)
% 8.31/1.56 % (10248)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/217Mi)
% 8.42/1.59 % (10160)Instruction limit reached!
% 8.42/1.59 % (10160)------------------------------
% 8.42/1.59 % (10160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.59 % (10160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.59 % (10160)Termination reason: Unknown
% 8.42/1.59 % (10160)Termination phase: Saturation
% 8.42/1.59
% 8.42/1.59 % (10160)Memory used [KB]: 13944
% 8.42/1.59 % (10160)Time elapsed: 0.237 s
% 8.42/1.59 % (10160)Instructions burned: 500 (million)
% 8.42/1.59 % (10160)------------------------------
% 8.42/1.59 % (10160)------------------------------
% 8.42/1.62 % (10172)Instruction limit reached!
% 8.42/1.62 % (10172)------------------------------
% 8.42/1.62 % (10172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.62 % (10172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.62 % (10172)Termination reason: Unknown
% 8.42/1.62 % (10172)Termination phase: Saturation
% 8.42/1.62
% 8.42/1.62 % (10172)Memory used [KB]: 4989
% 8.42/1.62 % (10172)Time elapsed: 0.664 s
% 8.42/1.62 % (10172)Instructions burned: 331 (million)
% 8.42/1.62 % (10172)------------------------------
% 8.42/1.62 % (10172)------------------------------
% 8.42/1.62 % (10292)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 (2988ds/1168Mi)
% 8.42/1.63 % (10178)Instruction limit reached!
% 8.42/1.63 % (10178)------------------------------
% 8.42/1.63 % (10178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.63 % (10178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.63 % (10178)Termination reason: Unknown
% 8.42/1.63 % (10178)Termination phase: Saturation
% 8.42/1.63
% 8.42/1.63 % (10178)Memory used [KB]: 1918
% 8.42/1.63 % (10178)Time elapsed: 0.457 s
% 8.42/1.63 % (10178)Instructions burned: 238 (million)
% 8.42/1.63 % (10178)------------------------------
% 8.42/1.63 % (10178)------------------------------
% 10.53/1.73 % (10339)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1006Mi)
% 11.14/1.76 % (10348)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4966Mi)
% 11.14/1.79 % (10349)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4835Mi)
% 11.93/1.87 % (10168)Instruction limit reached!
% 11.93/1.87 % (10168)------------------------------
% 11.93/1.87 % (10168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.93/1.88 % (10168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.93/1.88 % (10168)Termination reason: Unknown
% 11.93/1.88 % (10168)Termination phase: Saturation
% 11.93/1.88
% 11.93/1.88 % (10168)Memory used [KB]: 9850
% 11.93/1.88 % (10168)Time elapsed: 0.976 s
% 11.93/1.88 % (10168)Instructions burned: 502 (million)
% 11.93/1.88 % (10168)------------------------------
% 11.93/1.88 % (10168)------------------------------
% 12.55/1.95 % (10248)Instruction limit reached!
% 12.55/1.95 % (10248)------------------------------
% 12.55/1.95 % (10248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.55/1.95 % (10248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.55/1.95 % (10248)Termination reason: Unknown
% 12.55/1.95 % (10248)Termination phase: Saturation
% 12.55/1.95
% 12.55/1.95 % (10248)Memory used [KB]: 7036
% 12.55/1.95 % (10248)Time elapsed: 0.492 s
% 12.55/1.95 % (10248)Instructions burned: 217 (million)
% 12.55/1.95 % (10248)------------------------------
% 12.55/1.95 % (10248)------------------------------
% 12.55/1.95 % (10236)Instruction limit reached!
% 12.55/1.95 % (10236)------------------------------
% 12.55/1.95 % (10236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.55/1.95 % (10236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.55/1.95 % (10236)Termination reason: Unknown
% 12.55/1.95 % (10236)Termination phase: Saturation
% 12.55/1.95
% 12.55/1.95 % (10236)Memory used [KB]: 3582
% 12.55/1.95 % (10236)Time elapsed: 0.516 s
% 12.55/1.95 % (10236)Instructions burned: 256 (million)
% 12.55/1.95 % (10236)------------------------------
% 12.55/1.95 % (10236)------------------------------
% 12.90/1.99 % (10197)Instruction limit reached!
% 12.90/1.99 % (10197)------------------------------
% 12.90/1.99 % (10197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.90/2.00 % (10197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.90/2.00 % (10197)Termination reason: Unknown
% 12.90/2.00 % (10197)Termination phase: Saturation
% 12.90/2.00
% 12.90/2.00 % (10197)Memory used [KB]: 4093
% 12.90/2.00 % (10197)Time elapsed: 0.629 s
% 12.90/2.00 % (10197)Instructions burned: 370 (million)
% 12.90/2.00 % (10197)------------------------------
% 12.90/2.00 % (10197)------------------------------
% 12.90/2.01 % (10210)Instruction limit reached!
% 12.90/2.01 % (10210)------------------------------
% 12.90/2.01 % (10210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.90/2.01 % (10180)Instruction limit reached!
% 12.90/2.01 % (10180)------------------------------
% 12.90/2.01 % (10180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.90/2.01 % (10180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.90/2.01 % (10180)Termination reason: Unknown
% 12.90/2.01 % (10180)Termination phase: Saturation
% 12.90/2.01
% 12.90/2.01 % (10180)Memory used [KB]: 4477
% 12.90/2.01 % (10180)Time elapsed: 0.750 s
% 12.90/2.01 % (10180)Instructions burned: 485 (million)
% 12.90/2.01 % (10180)------------------------------
% 12.90/2.01 % (10180)------------------------------
% 12.90/2.02 % (10408)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3932Mi)
% 12.90/2.02 % (10210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.90/2.02 % (10210)Termination reason: Unknown
% 12.90/2.02 % (10210)Termination phase: Saturation
% 12.90/2.02
% 12.90/2.02 % (10210)Memory used [KB]: 2430
% 12.90/2.02 % (10210)Time elapsed: 0.624 s
% 12.90/2.02 % (10210)Instructions burned: 363 (million)
% 12.90/2.02 % (10210)------------------------------
% 12.90/2.02 % (10210)------------------------------
% 13.47/2.08 % (10428)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1742Mi)
% 13.47/2.10 % (10429)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3843Mi)
% 13.86/2.13 % (10184)Instruction limit reached!
% 13.86/2.13 % (10184)------------------------------
% 13.86/2.13 % (10184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.86/2.13 % (10184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.86/2.13 % (10184)Termination reason: Unknown
% 13.86/2.13 % (10184)Termination phase: Saturation
% 13.86/2.13
% 13.86/2.13 % (10184)Memory used [KB]: 7036
% 13.86/2.13 % (10184)Time elapsed: 0.733 s
% 13.86/2.13 % (10184)Instructions burned: 640 (million)
% 13.86/2.13 % (10184)------------------------------
% 13.86/2.13 % (10184)------------------------------
% 13.86/2.15 % (10430)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/947Mi)
% 13.86/2.15 % (10431)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3622Mi)
% 13.86/2.16 % (10432)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 (2983ds/4725Mi)
% 14.36/2.22 % (10183)Instruction limit reached!
% 14.36/2.22 % (10183)------------------------------
% 14.36/2.22 % (10183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.36/2.22 % (10183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.36/2.22 % (10183)Termination reason: Unknown
% 14.36/2.22 % (10183)Termination phase: Saturation
% 14.36/2.22
% 14.36/2.22 % (10183)Memory used [KB]: 17014
% 14.36/2.22 % (10183)Time elapsed: 0.301 s
% 14.36/2.22 % (10183)Instructions burned: 591 (million)
% 14.36/2.22 % (10183)------------------------------
% 14.36/2.22 % (10183)------------------------------
% 14.36/2.24 % (10433)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/1518Mi)
% 14.99/2.25 % (10179)Instruction limit reached!
% 14.99/2.25 % (10179)------------------------------
% 14.99/2.25 % (10179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.99/2.25 % (10179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.99/2.25 % (10179)Termination reason: Unknown
% 14.99/2.25 % (10179)Termination phase: Saturation
% 14.99/2.25
% 14.99/2.25 % (10179)Memory used [KB]: 5117
% 14.99/2.25 % (10179)Time elapsed: 1.043 s
% 14.99/2.25 % (10179)Instructions burned: 656 (million)
% 14.99/2.25 % (10179)------------------------------
% 14.99/2.25 % (10179)------------------------------
% 15.80/2.37 % (10434)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 (2980ds/2661Mi)
% 16.25/2.41 % (10435)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1324Mi)
% 16.25/2.42 % (10189)Instruction limit reached!
% 16.25/2.42 % (10189)------------------------------
% 16.25/2.42 % (10189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.25/2.44 % (10189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.25/2.44 % (10189)Termination reason: Unknown
% 16.25/2.44 % (10189)Termination phase: Saturation
% 16.25/2.44
% 16.25/2.44 % (10189)Memory used [KB]: 3582
% 16.25/2.44 % (10189)Time elapsed: 1.079 s
% 16.25/2.44 % (10189)Instructions burned: 692 (million)
% 16.25/2.44 % (10189)------------------------------
% 16.25/2.44 % (10189)------------------------------
% 16.60/2.46 % (10166)Instruction limit reached!
% 16.60/2.46 % (10166)------------------------------
% 16.60/2.46 % (10166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.60/2.46 % (10166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.60/2.46 % (10166)Termination reason: Unknown
% 16.60/2.46 % (10166)Termination phase: Saturation
% 16.60/2.46
% 16.60/2.46 % (10166)Memory used [KB]: 13944
% 16.60/2.46 % (10166)Time elapsed: 1.642 s
% 16.60/2.46 % (10166)Instructions burned: 1006 (million)
% 16.60/2.46 % (10166)------------------------------
% 16.60/2.46 % (10166)------------------------------
% 17.25/2.57 % (10182)Instruction limit reached!
% 17.25/2.57 % (10182)------------------------------
% 17.25/2.57 % (10182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.25/2.57 % (10182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.25/2.57 % (10182)Termination reason: Unknown
% 17.25/2.57 % (10182)Termination phase: Saturation
% 17.25/2.57
% 17.25/2.57 % (10182)Memory used [KB]: 12281
% 17.25/2.57 % (10182)Time elapsed: 1.339 s
% 17.25/2.57 % (10182)Instructions burned: 980 (million)
% 17.25/2.57 % (10182)------------------------------
% 17.25/2.57 % (10182)------------------------------
% 17.25/2.58 % (10436)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 (2978ds/1168Mi)
% 17.55/2.62 % (10437)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/11321Mi)
% 17.95/2.67 % (10438)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 (2977ds/12082Mi)
% 19.12/2.78 % (10185)Instruction limit reached!
% 19.12/2.78 % (10185)------------------------------
% 19.12/2.78 % (10185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.12/2.78 % (10185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.12/2.78 % (10185)Termination reason: Unknown
% 19.12/2.78 % (10185)Termination phase: Saturation
% 19.12/2.78
% 19.12/2.78 % (10185)Memory used [KB]: 12281
% 19.12/2.78 % (10185)Time elapsed: 1.478 s
% 19.12/2.78 % (10185)Instructions burned: 947 (million)
% 19.12/2.78 % (10185)------------------------------
% 19.12/2.78 % (10185)------------------------------
% 19.12/2.83 % (10218)Refutation not found, non-redundant clauses discarded% (10218)------------------------------
% 19.12/2.83 % (10218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.12/2.83 % (10218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.12/2.84 % (10218)Termination reason: Refutation not found, non-redundant clauses discarded
% 19.12/2.84
% 19.12/2.84 % (10218)Memory used [KB]: 4861
% 19.12/2.84 % (10218)Time elapsed: 1.436 s
% 19.12/2.84 % (10218)Instructions burned: 1004 (million)
% 19.12/2.84 % (10218)------------------------------
% 19.12/2.84 % (10218)------------------------------
% 20.52/2.95 % (10439)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/31695Mi)
% 20.52/2.97 % (10440)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 (2975ds/7145Mi)
% 22.32/3.22 % (10169)Instruction limit reached!
% 22.32/3.22 % (10169)------------------------------
% 22.32/3.22 % (10169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.32/3.22 % (10169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.32/3.22 % (10169)Termination reason: Unknown
% 22.32/3.22 % (10169)Termination phase: Saturation
% 22.32/3.22
% 22.32/3.22 % (10169)Memory used [KB]: 23539
% 22.32/3.22 % (10169)Time elapsed: 2.322 s
% 22.32/3.22 % (10169)Instructions burned: 1705 (million)
% 22.32/3.22 % (10169)------------------------------
% 22.32/3.22 % (10169)------------------------------
% 22.64/3.24 % (10292)Instruction limit reached!
% 22.64/3.24 % (10292)------------------------------
% 22.64/3.24 % (10292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.98/3.26 % (10292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.98/3.26 % (10292)Termination reason: Unknown
% 22.98/3.26 % (10292)Termination phase: Saturation
% 22.98/3.26
% 22.98/3.26 % (10292)Memory used [KB]: 4349
% 22.98/3.26 % (10292)Time elapsed: 1.681 s
% 22.98/3.26 % (10292)Instructions burned: 1170 (million)
% 22.98/3.26 % (10292)------------------------------
% 22.98/3.26 % (10292)------------------------------
% 22.98/3.29 % (10339)Instruction limit reached!
% 22.98/3.29 % (10339)------------------------------
% 22.98/3.29 % (10339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.98/3.29 % (10339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.98/3.29 % (10339)Termination reason: Unknown
% 22.98/3.29 % (10339)Termination phase: Saturation
% 22.98/3.29
% 22.98/3.29 % (10339)Memory used [KB]: 12409
% 22.98/3.29 % (10339)Time elapsed: 1.682 s
% 22.98/3.29 % (10339)Instructions burned: 1006 (million)
% 22.98/3.29 % (10339)------------------------------
% 22.98/3.29 % (10339)------------------------------
% 23.54/3.35 % (10441)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 (2971ds/48352Mi)
% 23.97/3.41 % (10442)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/48076Mi)
% 23.97/3.43 % (10443)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 (2970ds/24952Mi)
% 24.60/3.47 % (10181)Instruction limit reached!
% 24.60/3.47 % (10181)------------------------------
% 24.60/3.47 % (10181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.60/3.47 % (10181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.60/3.47 % (10181)Termination reason: Unknown
% 24.60/3.47 % (10181)Termination phase: Saturation
% 24.60/3.47
% 24.60/3.47 % (10181)Memory used [KB]: 11513
% 24.60/3.47 % (10181)Time elapsed: 2.231 s
% 24.60/3.47 % (10181)Instructions burned: 1303 (million)
% 24.60/3.47 % (10181)------------------------------
% 24.60/3.47 % (10181)------------------------------
% 25.22/3.55 % (10430)Instruction limit reached!
% 25.22/3.55 % (10430)------------------------------
% 25.22/3.55 % (10430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.22/3.55 % (10430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.22/3.55 % (10430)Termination reason: Unknown
% 25.22/3.55 % (10430)Termination phase: Saturation
% 25.22/3.55
% 25.22/3.55 % (10430)Memory used [KB]: 13176
% 25.22/3.55 % (10430)Time elapsed: 1.516 s
% 25.22/3.55 % (10430)Instructions burned: 947 (million)
% 25.22/3.55 % (10430)------------------------------
% 25.22/3.55 % (10430)------------------------------
% 25.74/3.63 % (10444)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 (2968ds/17722Mi)
% 26.11/3.70 % (10445)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 (2967ds/25691Mi)
% 27.61/3.84 % (10171)Instruction limit reached!
% 27.61/3.84 % (10171)------------------------------
% 27.61/3.84 % (10171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.61/3.84 % (10171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.61/3.84 % (10171)Termination reason: Unknown
% 27.61/3.84 % (10171)Termination phase: Saturation
% 27.61/3.84
% 27.61/3.84 % (10171)Memory used [KB]: 25458
% 27.61/3.84 % (10171)Time elapsed: 2.944 s
% 27.61/3.84 % (10171)Instructions burned: 1683 (million)
% 27.61/3.84 % (10171)------------------------------
% 27.61/3.84 % (10171)------------------------------
% 28.75/3.99 % (10446)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 (2965ds/1742Mi)
% 29.30/4.05 % (10433)Instruction limit reached!
% 29.30/4.05 % (10433)------------------------------
% 29.30/4.05 % (10433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.30/4.05 % (10433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.30/4.05 % (10433)Termination reason: Unknown
% 29.30/4.05 % (10433)Termination phase: Saturation
% 29.30/4.05
% 29.30/4.05 % (10433)Memory used [KB]: 8059
% 29.30/4.05 % (10433)Time elapsed: 1.849 s
% 29.30/4.05 % (10433)Instructions burned: 1520 (million)
% 29.30/4.05 % (10433)------------------------------
% 29.30/4.05 % (10433)------------------------------
% 29.89/4.13 % (10176)Instruction limit reached!
% 29.89/4.13 % (10176)------------------------------
% 29.89/4.13 % (10176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.89/4.13 % (10176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.89/4.13 % (10176)Termination reason: Unknown
% 29.89/4.13 % (10176)Termination phase: Saturation
% 29.89/4.13
% 29.89/4.13 % (10176)Memory used [KB]: 10874
% 29.89/4.13 % (10176)Time elapsed: 3.136 s
% 29.89/4.13 % (10176)Instructions burned: 2304 (million)
% 29.89/4.13 % (10176)------------------------------
% 29.89/4.13 % (10176)------------------------------
% 30.07/4.19 % (10436)Instruction limit reached!
% 30.07/4.19 % (10436)------------------------------
% 30.07/4.19 % (10436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.07/4.19 % (10436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.07/4.19 % (10436)Termination reason: Unknown
% 30.07/4.19 % (10436)Termination phase: Saturation
% 30.07/4.19
% 30.07/4.19 % (10436)Memory used [KB]: 3965
% 30.07/4.19 % (10436)Time elapsed: 1.646 s
% 30.07/4.19 % (10436)Instructions burned: 1169 (million)
% 30.07/4.19 % (10436)------------------------------
% 30.07/4.19 % (10436)------------------------------
% 30.07/4.19 % (10447)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=31719:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/31719Mi)
% 30.62/4.27 % (10448)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/12098Mi)
% 30.98/4.32 % (10449)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/7522Mi)
% 31.98/4.39 % (10428)Instruction limit reached!
% 31.98/4.39 % (10428)------------------------------
% 31.98/4.39 % (10428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.98/4.39 % (10428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.98/4.39 % (10428)Termination reason: Unknown
% 31.98/4.39 % (10428)Termination phase: Saturation
% 31.98/4.39
% 31.98/4.39 % (10428)Memory used [KB]: 8699
% 31.98/4.39 % (10428)Time elapsed: 2.378 s
% 31.98/4.39 % (10428)Instructions burned: 1742 (million)
% 31.98/4.39 % (10428)------------------------------
% 31.98/4.39 % (10428)------------------------------
% 32.38/4.45 % (10170)Refutation not found, non-redundant clauses discarded% (10170)------------------------------
% 32.38/4.45 % (10170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.38/4.45 % (10170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.38/4.45 % (10170)Termination reason: Refutation not found, non-redundant clauses discarded
% 32.38/4.45
% 32.38/4.45 % (10170)Memory used [KB]: 9594
% 32.38/4.45 % (10170)Time elapsed: 3.523 s
% 32.38/4.45 % (10170)Instructions burned: 2030 (million)
% 32.38/4.45 % (10170)------------------------------
% 32.38/4.45 % (10170)------------------------------
% 32.63/4.51 % (10231)Instruction limit reached!
% 32.63/4.51 % (10231)------------------------------
% 32.63/4.51 % (10231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.63/4.51 % (10231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.63/4.51 % (10231)Termination reason: Unknown
% 32.63/4.51 % (10231)Termination phase: Saturation
% 32.63/4.51
% 32.63/4.51 % (10231)Memory used [KB]: 12792
% 32.63/4.51 % (10231)Time elapsed: 3.053 s
% 32.63/4.51 % (10231)Instructions burned: 2503 (million)
% 32.63/4.51 % (10231)------------------------------
% 32.63/4.51 % (10231)------------------------------
% 33.12/4.54 % (10450)lrs+10_1:1_abs=on:afp=1000:nicw=on:sas=z3:tgt=ground:tha=off:uwa=all:i=9256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/9256Mi)
% 33.43/4.59 % (10435)Instruction limit reached!
% 33.43/4.59 % (10435)------------------------------
% 33.43/4.59 % (10435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.43/4.59 % (10435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.43/4.59 % (10435)Termination reason: Unknown
% 33.43/4.59 % (10435)Termination phase: Saturation
% 33.43/4.59
% 33.43/4.59 % (10435)Memory used [KB]: 19317
% 33.43/4.59 % (10435)Time elapsed: 2.280 s
% 33.43/4.59 % (10435)Instructions burned: 1326 (million)
% 33.43/4.59 % (10435)------------------------------
% 33.43/4.59 % (10435)------------------------------
% 33.43/4.62 % (10451)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/7507Mi)
% 33.96/4.67 % (10452)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 (2958ds/4725Mi)
% 34.17/4.71 % (10453)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=6461:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/6461Mi)
% 34.17/4.72 % (10177)Instruction limit reached!
% 34.17/4.72 % (10177)------------------------------
% 34.17/4.72 % (10177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.17/4.72 % (10177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.17/4.72 % (10177)Termination reason: Unknown
% 34.17/4.72 % (10177)Termination phase: Saturation
% 34.17/4.72
% 34.17/4.72 % (10177)Memory used [KB]: 2558
% 34.17/4.72 % (10177)Time elapsed: 1.777 s
% 34.17/4.72 % (10177)Instructions burned: 3783 (million)
% 34.17/4.72 % (10177)------------------------------
% 34.17/4.72 % (10177)------------------------------
% 35.43/4.87 % (10454)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=11248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/11248Mi)
% 42.61/5.72 % (10434)Instruction limit reached!
% 42.61/5.72 % (10434)------------------------------
% 42.61/5.72 % (10434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.61/5.72 % (10434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.61/5.72 % (10434)Termination reason: Unknown
% 42.61/5.72 % (10434)Termination phase: Saturation
% 42.61/5.72
% 42.61/5.72 % (10434)Memory used [KB]: 9978
% 42.61/5.72 % (10434)Time elapsed: 3.428 s
% 42.61/5.72 % (10434)Instructions burned: 2664 (million)
% 42.61/5.72 % (10434)------------------------------
% 42.61/5.72 % (10434)------------------------------
% 43.67/5.88 % (10455)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=10523:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/10523Mi)
% 43.67/5.88 % (10446)Instruction limit reached!
% 43.67/5.88 % (10446)------------------------------
% 43.67/5.88 % (10446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.67/5.88 % (10446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.67/5.88 % (10446)Termination reason: Unknown
% 43.67/5.88 % (10446)Termination phase: Saturation
% 43.67/5.88
% 43.67/5.88 % (10446)Memory used [KB]: 3709
% 43.67/5.88 % (10446)Time elapsed: 1.985 s
% 43.67/5.88 % (10446)Instructions burned: 1743 (million)
% 43.67/5.88 % (10446)------------------------------
% 43.67/5.88 % (10446)------------------------------
% 44.48/5.96 % (10429)Instruction limit reached!
% 44.48/5.96 % (10429)------------------------------
% 44.48/5.96 % (10429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.48/5.99 % (10429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.48/5.99 % (10429)Termination reason: Unknown
% 44.48/5.99 % (10429)Termination phase: Saturation
% 44.48/5.99
% 44.48/5.99 % (10429)Memory used [KB]: 2302
% 44.48/5.99 % (10429)Time elapsed: 1.660 s
% 44.48/5.99 % (10429)Instructions burned: 3844 (million)
% 44.48/5.99 % (10429)------------------------------
% 44.48/5.99 % (10429)------------------------------
% 44.99/6.02 % (10456)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 (2944ds/1324Mi)
% 45.41/6.13 % (10457)lrs+2_1:128_afq=1.0:bd=off:bsr=unit_only:irw=on:i=49169:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/49169Mi)
% 49.76/6.63 % (10214)Instruction limit reached!
% 49.76/6.63 % (10214)------------------------------
% 49.76/6.63 % (10214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.76/6.65 % (10214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.76/6.65 % (10214)Termination reason: Unknown
% 49.76/6.65 % (10214)Termination phase: Saturation
% 49.76/6.65
% 49.76/6.65 % (10214)Memory used [KB]: 42984
% 49.76/6.65 % (10214)Time elapsed: 5.239 s
% 49.76/6.65 % (10214)Instructions burned: 3058 (million)
% 49.76/6.65 % (10214)------------------------------
% 49.76/6.65 % (10214)------------------------------
% 49.76/6.66 % (10174)Instruction limit reached!
% 49.76/6.66 % (10174)------------------------------
% 49.76/6.66 % (10174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.76/6.67 % (10174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.76/6.67 % (10174)Termination reason: Unknown
% 49.76/6.67 % (10174)Termination phase: Saturation
% 49.76/6.67
% 49.76/6.67 % (10174)Memory used [KB]: 31470
% 49.76/6.67 % (10174)Time elapsed: 5.697 s
% 49.76/6.67 % (10174)Instructions burned: 3218 (million)
% 49.76/6.67 % (10174)------------------------------
% 49.76/6.67 % (10174)------------------------------
% 51.09/6.80 % (10458)lrs+10_1:1_nm=0:sd=4:sos=on:ss=axioms:st=3.0:i=6824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/6824Mi)
% 51.09/6.80 % (10167)Instruction limit reached!
% 51.09/6.80 % (10167)------------------------------
% 51.09/6.80 % (10167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.09/6.80 % (10167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.09/6.80 % (10167)Termination reason: Unknown
% 51.09/6.80 % (10167)Termination phase: Saturation
% 51.09/6.80
% 51.09/6.80 % (10167)Memory used [KB]: 27760
% 51.09/6.80 % (10167)Time elapsed: 5.893 s
% 51.09/6.80 % (10167)Instructions burned: 3721 (million)
% 51.09/6.80 % (10167)------------------------------
% 51.09/6.80 % (10167)------------------------------
% 51.09/6.82 % (10459)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 (2936ds/12082Mi)
% 52.51/6.98 % (10460)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=20746:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/20746Mi)
% 55.62/7.35 % (10175)Instruction limit reached!
% 55.62/7.35 % (10175)------------------------------
% 55.62/7.35 % (10175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.62/7.36 % (10175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.62/7.36 % (10175)Termination reason: Unknown
% 55.62/7.36 % (10175)Termination phase: Saturation
% 55.62/7.36
% 55.62/7.36 % (10175)Memory used [KB]: 26609
% 55.62/7.36 % (10175)Time elapsed: 5.967 s
% 55.62/7.36 % (10175)Instructions burned: 3528 (million)
% 55.62/7.36 % (10175)------------------------------
% 55.62/7.36 % (10175)------------------------------
% 56.42/7.47 % (10408)Instruction limit reached!
% 56.42/7.47 % (10408)------------------------------
% 56.42/7.47 % (10408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.42/7.48 % (10408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.42/7.48 % (10408)Termination reason: Unknown
% 56.42/7.48 % (10408)Termination phase: Saturation
% 56.42/7.48
% 56.42/7.48 % (10408)Memory used [KB]: 8571
% 56.42/7.48 % (10408)Time elapsed: 5.470 s
% 56.42/7.48 % (10408)Instructions burned: 3934 (million)
% 56.42/7.48 % (10408)------------------------------
% 56.42/7.48 % (10408)------------------------------
% 56.42/7.51 % (10461)lrs+10_1:1024_br=off:ep=RSTC:urr=on:i=47953:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/47953Mi)
% 57.35/7.62 % (10462)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=18577:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/18577Mi)
% 60.57/8.02 % (10456)Instruction limit reached!
% 60.57/8.02 % (10456)------------------------------
% 60.57/8.02 % (10456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.57/8.02 % (10456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.57/8.02 % (10456)Termination reason: Unknown
% 60.57/8.02 % (10456)Termination phase: Saturation
% 60.57/8.02
% 60.57/8.02 % (10456)Memory used [KB]: 16247
% 60.57/8.02 % (10456)Time elapsed: 2.078 s
% 60.57/8.02 % (10456)Instructions burned: 1325 (million)
% 60.57/8.02 % (10456)------------------------------
% 60.57/8.02 % (10456)------------------------------
% 60.57/8.02 % (10431)Instruction limit reached!
% 60.57/8.02 % (10431)------------------------------
% 60.57/8.02 % (10431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.57/8.02 % (10431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.57/8.02 % (10431)Termination reason: Unknown
% 60.57/8.02 % (10431)Termination phase: Saturation
% 60.57/8.02
% 60.57/8.02 % (10431)Memory used [KB]: 26225
% 60.57/8.02 % (10431)Time elapsed: 5.965 s
% 60.57/8.02 % (10431)Instructions burned: 3622 (million)
% 60.57/8.02 % (10431)------------------------------
% 60.57/8.02 % (10431)------------------------------
% 61.73/8.14 % (10465)lrs+1002_5:1_av=off:awrs=decay:awrsf=16:cond=on:fd=preordered:sfv=off:sp=const_frequency:thi=neg_eq:thsq=on:thsqc=16:thsqd=64:i=26841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/26841Mi)
% 61.73/8.14 % (10464)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 (2923ds/17722Mi)
% 65.10/8.55 % (10432)Instruction limit reached!
% 65.10/8.55 % (10432)------------------------------
% 65.10/8.55 % (10432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.10/8.55 % (10432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.10/8.55 % (10432)Termination reason: Unknown
% 65.10/8.55 % (10432)Termination phase: Saturation
% 65.10/8.55
% 65.10/8.55 % (10432)Memory used [KB]: 14072
% 65.10/8.55 % (10432)Time elapsed: 6.486 s
% 65.10/8.55 % (10432)Instructions burned: 4725 (million)
% 65.10/8.55 % (10432)------------------------------
% 65.10/8.55 % (10432)------------------------------
% 66.06/8.71 % (10466)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=13722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/13722Mi)
% 69.22/9.07 % (10349)Instruction limit reached!
% 69.22/9.07 % (10349)------------------------------
% 69.22/9.07 % (10349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 69.22/9.10 % (10349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 69.22/9.10 % (10349)Termination reason: Unknown
% 69.22/9.10 % (10349)Termination phase: Saturation
% 69.22/9.10
% 69.22/9.10 % (10349)Memory used [KB]: 24050
% 69.22/9.10 % (10349)Time elapsed: 7.358 s
% 69.22/9.10 % (10349)Instructions burned: 4837 (million)
% 69.22/9.10 % (10349)------------------------------
% 69.22/9.10 % (10349)------------------------------
% 70.76/9.25 % (10467)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=30560:si=on:rawr=on:rtra=on_0 on theBenchmark for (2912ds/30560Mi)
% 72.71/9.52 % (10348)Instruction limit reached!
% 72.71/9.52 % (10348)------------------------------
% 72.71/9.52 % (10348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 72.71/9.52 % (10348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 72.71/9.52 % (10348)Termination reason: Unknown
% 72.71/9.52 % (10348)Termination phase: Saturation
% 72.71/9.52
% 72.71/9.52 % (10348)Memory used [KB]: 41321
% 72.71/9.52 % (10348)Time elapsed: 7.859 s
% 72.71/9.52 % (10348)Instructions burned: 4967 (million)
% 72.71/9.52 % (10348)------------------------------
% 72.71/9.52 % (10348)------------------------------
% 74.06/9.69 % (10468)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2908ds/12098Mi)
% 85.71/11.14 % (10452)Instruction limit reached!
% 85.71/11.14 % (10452)------------------------------
% 85.71/11.14 % (10452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 85.71/11.15 % (10452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 85.71/11.15 % (10452)Termination reason: Unknown
% 85.71/11.15 % (10452)Termination phase: Saturation
% 85.71/11.15
% 85.71/11.15 % (10452)Memory used [KB]: 10618
% 85.71/11.15 % (10452)Time elapsed: 6.589 s
% 85.71/11.15 % (10452)Instructions burned: 4725 (million)
% 85.71/11.15 % (10452)------------------------------
% 85.71/11.15 % (10452)------------------------------
% 86.86/11.31 % (10469)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2892ds/7522Mi)
% 97.59/12.62 % (10449)Refutation not found, non-redundant clauses discarded% (10449)------------------------------
% 97.59/12.62 % (10449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 97.59/12.63 % (10449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 97.59/12.63 % (10449)Termination reason: Refutation not found, non-redundant clauses discarded
% 97.59/12.63
% 97.59/12.63 % (10449)Memory used [KB]: 14583
% 97.59/12.63 % (10449)Time elapsed: 8.370 s
% 97.59/12.63 % (10449)Instructions burned: 7504 (million)
% 97.59/12.63 % (10449)------------------------------
% 97.59/12.63 % (10449)------------------------------
% 98.67/12.77 % (10470)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2877ds/7507Mi)
% 99.88/12.94 % (10453)Instruction limit reached!
% 99.88/12.94 % (10453)------------------------------
% 99.88/12.94 % (10453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 99.88/12.94 % (10453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 99.88/12.94 % (10453)Termination reason: Unknown
% 99.88/12.94 % (10453)Termination phase: Saturation
% 99.88/12.94
% 99.88/12.94 % (10453)Memory used [KB]: 36459
% 99.88/12.94 % (10453)Time elapsed: 8.303 s
% 99.88/12.94 % (10453)Instructions burned: 6462 (million)
% 99.88/12.94 % (10453)------------------------------
% 99.88/12.94 % (10453)------------------------------
% 101.25/13.10 % (10471)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 (2873ds/2501Mi)
% 107.60/13.94 % (10451)Instruction limit reached!
% 107.60/13.94 % (10451)------------------------------
% 107.60/13.94 % (10451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 108.23/13.96 % (10451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 108.23/13.96 % (10451)Termination reason: Unknown
% 108.23/13.96 % (10451)Termination phase: Saturation
% 108.23/13.96
% 108.23/13.96 % (10451)Memory used [KB]: 19445
% 108.23/13.96 % (10451)Time elapsed: 6.800 s
% 108.23/13.96 % (10451)Instructions burned: 7507 (million)
% 108.23/13.96 % (10451)------------------------------
% 108.23/13.96 % (10451)------------------------------
% 109.00/14.09 % (10472)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=10523:si=on:rawr=on:rtra=on_0 on theBenchmark for (2863ds/10523Mi)
% 120.97/15.60 % (10440)Instruction limit reached!
% 120.97/15.60 % (10440)------------------------------
% 120.97/15.60 % (10440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 120.97/15.60 % (10440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 120.97/15.60 % (10440)Termination reason: Unknown
% 120.97/15.60 % (10440)Termination phase: Saturation
% 120.97/15.60
% 120.97/15.60 % (10440)Memory used [KB]: 43751
% 120.97/15.60 % (10440)Time elapsed: 12.701 s
% 120.97/15.60 % (10440)Instructions burned: 7145 (million)
% 120.97/15.60 % (10440)------------------------------
% 120.97/15.60 % (10440)------------------------------
% 123.91/15.93 % (10871)dis+11_1:3_afp=4000:anc=none:bce=on:bd=off:sac=on:sd=10:ss=axioms:st=5.0:tha=off:urr=ec_only:i=18001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2847ds/18001Mi)
% 129.34/16.65 % (10471)Instruction limit reached!
% 129.34/16.65 % (10471)------------------------------
% 129.34/16.65 % (10471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 129.34/16.66 % (10471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 129.34/16.66 % (10471)Termination reason: Unknown
% 129.34/16.66 % (10471)Termination phase: Saturation
% 129.34/16.66
% 129.34/16.66 % (10471)Memory used [KB]: 11641
% 129.34/16.66 % (10471)Time elapsed: 3.673 s
% 129.34/16.66 % (10471)Instructions burned: 2502 (million)
% 129.34/16.66 % (10471)------------------------------
% 129.34/16.66 % (10471)------------------------------
% 129.85/16.71 % (10450)Instruction limit reached!
% 129.85/16.71 % (10450)------------------------------
% 129.85/16.71 % (10450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 129.85/16.71 % (10450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 129.85/16.71 % (10450)Termination reason: Unknown
% 129.85/16.71 % (10450)Termination phase: Saturation
% 129.85/16.71
% 129.85/16.71 % (10450)Memory used [KB]: 11769
% 129.85/16.71 % (10450)Time elapsed: 6.931 s
% 129.85/16.71 % (10450)Instructions burned: 9256 (million)
% 129.85/16.71 % (10450)------------------------------
% 129.85/16.71 % (10450)------------------------------
% 132.91/17.07 % (10911)lrs+2_1:128_afq=1.0:bd=off:bsr=unit_only:irw=on:i=49169:si=on:rawr=on:rtra=on_0 on theBenchmark for (2836ds/49169Mi)
% 132.91/17.10 % (10914)ott+2_1:64_afp=40000:bd=off:irw=on:i=49900:si=on:rawr=on:rtra=on_0 on theBenchmark for (2836ds/49900Mi)
% 153.94/19.70 % (10458)Instruction limit reached!
% 153.94/19.70 % (10458)------------------------------
% 153.94/19.70 % (10458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 153.94/19.70 % (10458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 153.94/19.70 % (10458)Termination reason: Unknown
% 153.94/19.70 % (10458)Termination phase: Saturation
% 153.94/19.70
% 153.94/19.70 % (10458)Memory used [KB]: 42088
% 153.94/19.70 % (10458)Time elapsed: 13.016 s
% 153.94/19.70 % (10458)Instructions burned: 6824 (million)
% 153.94/19.70 % (10458)------------------------------
% 153.94/19.70 % (10458)------------------------------
% 155.07/19.84 % (11146)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 (2806ds/12082Mi)
% 157.67/20.17 % (10448)First to succeed.
% 158.82/20.33 % (10448)Refutation found. Thanks to Tanya!
% 158.82/20.33 % SZS status Theorem for theBenchmark
% 158.82/20.33 % SZS output start Proof for theBenchmark
% See solution above
% 158.82/20.36 % (10448)------------------------------
% 158.82/20.36 % (10448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 158.82/20.36 % (10448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 158.82/20.36 % (10448)Termination reason: Refutation
% 158.82/20.36
% 158.82/20.36 % (10448)Memory used [KB]: 49636
% 158.82/20.36 % (10448)Time elapsed: 16.002 s
% 158.82/20.36 % (10448)Instructions burned: 8666 (million)
% 158.82/20.36 % (10448)------------------------------
% 158.82/20.36 % (10448)------------------------------
% 158.82/20.36 % (10103)Success in time 20.004 s
%------------------------------------------------------------------------------