TSTP Solution File: SWC316+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC316+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n007.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 18:43:06 EDT 2022
% Result : Theorem 17.02s 2.54s
% Output : Refutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 604
% Syntax : Number of formulae : 2494 ( 49 unt; 0 def)
% Number of atoms : 7571 (1649 equ)
% Maximal formula atoms : 50 ( 3 avg)
% Number of connectives : 9096 (4019 ~;4173 |; 254 &)
% ( 569 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 572 ( 570 usr; 556 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 521 ( 431 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5382,plain,
$false,
inference(avatar_smt_refutation,[],[f611,f616,f621,f626,f631,f635,f640,f645,f654,f655,f660,f665,f666,f667,f672,f677,f706,f711,f716,f717,f718,f720,f725,f726,f727,f733,f738,f739,f744,f749,f751,f759,f764,f769,f775,f784,f789,f794,f808,f813,f829,f834,f839,f844,f849,f854,f855,f862,f874,f879,f881,f899,f904,f961,f972,f993,f994,f1000,f1014,f1023,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1074,f1075,f1077,f1105,f1110,f1116,f1139,f1144,f1150,f1174,f1179,f1180,f1181,f1183,f1211,f1255,f1270,f1279,f1289,f1301,f1306,f1311,f1313,f1315,f1319,f1331,f1340,f1345,f1350,f1355,f1360,f1373,f1379,f1386,f1391,f1393,f1399,f1405,f1430,f1435,f1440,f1445,f1448,f1482,f1487,f1501,f1506,f1511,f1528,f1534,f1570,f1574,f1612,f1618,f1653,f1658,f1666,f1671,f1676,f1681,f1686,f1691,f1696,f1701,f1731,f1736,f1741,f1746,f1755,f1760,f1765,f1769,f1774,f1779,f1818,f1822,f1823,f1828,f1829,f1851,f1859,f1864,f1866,f1868,f1889,f1894,f1900,f1905,f1910,f1916,f1921,f1926,f1931,f1955,f1968,f1972,f1977,f1986,f1990,f1991,f1992,f1997,f1999,f2019,f2024,f2029,f2034,f2039,f2044,f2049,f2054,f2058,f2063,f2078,f2088,f2093,f2107,f2116,f2131,f2135,f2137,f2138,f2139,f2140,f2168,f2172,f2177,f2186,f2190,f2195,f2196,f2197,f2202,f2237,f2242,f2246,f2251,f2255,f2256,f2257,f2274,f2279,f2284,f2290,f2295,f2311,f2317,f2322,f2327,f2332,f2340,f2345,f2361,f2366,f2371,f2376,f2381,f2390,f2395,f2397,f2403,f2413,f2418,f2423,f2441,f2447,f2474,f2479,f2484,f2489,f2494,f2519,f2524,f2529,f2534,f2552,f2557,f2562,f2568,f2573,f2578,f2579,f2584,f2589,f2590,f2595,f2596,f2602,f2608,f2632,f2637,f2642,f2647,f2651,f2656,f2681,f2686,f2691,f2696,f2702,f2708,f2735,f2740,f2745,f2750,f2755,f2759,f2764,f2769,f2774,f2779,f2784,f2789,f2794,f2799,f2822,f2827,f2832,f2837,f2842,f2847,f2852,f2857,f2862,f2867,f2872,f2877,f2882,f2887,f2909,f2915,f2921,f2926,f2931,f2936,f2941,f2946,f2951,f2972,f2977,f2978,f2979,f2984,f2985,f2990,f3007,f3012,f3018,f3024,f3029,f3034,f3039,f3044,f3049,f3075,f3080,f3104,f3108,f3117,f3121,f3122,f3131,f3136,f3137,f3142,f3166,f3170,f3174,f3183,f3188,f3189,f3190,f3199,f3201,f3232,f3238,f3243,f3248,f3253,f3258,f3263,f3268,f3274,f3279,f3284,f3286,f3287,f3288,f3293,f3295,f3296,f3297,f3298,f3299,f3301,f3302,f3304,f3306,f3333,f3342,f3349,f3351,f3356,f3364,f3365,f3366,f3527,f3532,f3537,f3543,f3548,f3554,f3559,f3564,f3569,f3574,f3579,f3586,f3591,f3596,f3602,f3608,f3613,f3618,f3623,f3628,f3633,f3638,f3643,f3648,f3653,f3662,f3668,f3673,f3678,f3683,f3688,f3693,f3698,f3704,f3705,f3712,f3717,f3722,f3727,f3733,f3737,f3742,f3747,f3753,f3758,f3764,f3769,f3774,f3779,f3789,f3795,f3802,f3809,f3814,f3819,f3824,f3829,f3834,f3839,f3844,f3849,f3850,f3855,f3862,f3865,f3871,f3879,f3885,f3886,f3892,f3897,f3902,f3907,f3912,f3917,f3922,f3928,f3929,f3935,f3940,f3945,f3950,f3955,f3960,f3965,f3971,f3972,f3978,f3985,f3988,f3989,f3996,f4001,f4006,f4011,f4016,f4022,f4028,f4031,f4034,f4040,f4046,f4049,f4055,f4064,f4073,f4079,f4085,f4091,f4097,f4103,f4106,f4115,f4121,f4127,f4131,f4137,f4139,f4142,f4144,f4151,f4158,f4160,f4183,f4188,f4192,f4197,f4202,f4204,f4206,f4207,f4209,f4211,f4212,f4213,f4214,f4216,f4219,f4225,f4227,f4228,f4231,f4237,f4301,f4306,f4311,f4316,f4321,f4326,f4331,f4336,f4341,f4346,f4347,f4352,f4353,f4358,f4363,f4368,f4373,f4378,f4383,f4388,f4393,f4394,f4399,f4404,f4409,f4414,f4419,f4424,f4429,f4434,f4435,f4440,f4445,f4450,f4455,f4460,f4466,f4472,f4473,f4477,f4484,f4492,f4498,f4505,f4513,f4519,f4526,f4539,f4549,f4550,f4553,f4564,f4565,f4566,f4568,f4570,f4573,f4579,f4581,f4582,f4584,f4585,f4589,f4594,f4596,f4599,f4611,f4613,f4621,f4745,f4750,f4757,f4758,f4769,f4772,f4781,f4787,f4788,f4791,f4800,f4802,f4807,f4808,f4823,f4827,f4907,f4912,f4917,f4922,f4927,f4932,f4937,f4942,f4947,f4952,f4957,f4962,f4967,f4972,f4977,f4982,f4987,f4992,f4997,f4998,f5003,f5008,f5013,f5018,f5023,f5028,f5033,f5038,f5043,f5048,f5049,f5059,f5062,f5064,f5070,f5073,f5089,f5096,f5100,f5107,f5114,f5116,f5122,f5131,f5138,f5142,f5149,f5156,f5158,f5164,f5171,f5173,f5179,f5229,f5234,f5239,f5244,f5249,f5254,f5259,f5264,f5269,f5274,f5279,f5284,f5289,f5294,f5299,f5304,f5309,f5314,f5319,f5324,f5329,f5334,f5339,f5344,f5347,f5380,f5381]) ).
fof(f5381,plain,
( spl53_425
| ~ spl53_489
| ~ spl53_13
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f5378,f846,f662,f4904,f4070]) ).
fof(f4070,plain,
( spl53_425
<=> nil = cons(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_425])]) ).
fof(f4904,plain,
( spl53_489
<=> ssList(cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_489])]) ).
fof(f662,plain,
( spl53_13
<=> ssList(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f846,plain,
( spl53_42
<=> nil = app(cons(sK29,nil),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_42])]) ).
fof(f5378,plain,
( ~ ssList(sK30)
| ~ ssList(cons(sK29,nil))
| nil = cons(sK29,nil)
| ~ spl53_42 ),
inference(trivial_inequality_removal,[],[f5377]) ).
fof(f5377,plain,
( ~ ssList(sK30)
| nil = cons(sK29,nil)
| ~ ssList(cons(sK29,nil))
| nil != nil
| ~ spl53_42 ),
inference(superposition,[],[f544,f848]) ).
fof(f848,plain,
( nil = app(cons(sK29,nil),sK30)
| ~ spl53_42 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f544,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f5380,plain,
( ~ spl53_489
| ~ spl53_13
| spl53_49
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f5379,f846,f954,f662,f4904]) ).
fof(f954,plain,
( spl53_49
<=> nil = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_49])]) ).
fof(f5379,plain,
( nil = sK30
| ~ ssList(sK30)
| ~ ssList(cons(sK29,nil))
| ~ spl53_42 ),
inference(trivial_inequality_removal,[],[f5376]) ).
fof(f5376,plain,
( nil = sK30
| nil != nil
| ~ ssList(cons(sK29,nil))
| ~ ssList(sK30)
| ~ spl53_42 ),
inference(superposition,[],[f545,f848]) ).
fof(f545,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f5347,plain,
( ~ spl53_549
| ~ spl53_424
| spl53_486
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5346,f4591,f4561,f4061,f5311]) ).
fof(f5311,plain,
( spl53_549
<=> hd(sK30) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_549])]) ).
fof(f4061,plain,
( spl53_424
<=> hd(nil) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_424])]) ).
fof(f4561,plain,
( spl53_486
<=> hd(tl(nil)) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_486])]) ).
fof(f4591,plain,
( spl53_488
<=> tl(nil) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_488])]) ).
fof(f5346,plain,
( hd(sK30) != sK29
| ~ spl53_424
| spl53_486
| ~ spl53_488 ),
inference(forward_demodulation,[],[f5345,f4593]) ).
fof(f4593,plain,
( tl(nil) = sK30
| ~ spl53_488 ),
inference(avatar_component_clause,[],[f4591]) ).
fof(f5345,plain,
( hd(tl(nil)) != sK29
| ~ spl53_424
| spl53_486 ),
inference(forward_demodulation,[],[f4563,f4062]) ).
fof(f4062,plain,
( hd(nil) = sK29
| ~ spl53_424 ),
inference(avatar_component_clause,[],[f4061]) ).
fof(f4563,plain,
( hd(tl(nil)) != hd(nil)
| spl53_486 ),
inference(avatar_component_clause,[],[f4561]) ).
fof(f5344,plain,
( ~ spl53_555
| spl53_361
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5200,f4591,f3680,f5341]) ).
fof(f5341,plain,
( spl53_555
<=> totalorderedP(sK0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_555])]) ).
fof(f3680,plain,
( spl53_361
<=> totalorderedP(sK0(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_361])]) ).
fof(f5200,plain,
( ~ totalorderedP(sK0(sK30))
| spl53_361
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3682,f4593]) ).
fof(f3682,plain,
( ~ totalorderedP(sK0(tl(nil)))
| spl53_361 ),
inference(avatar_component_clause,[],[f3680]) ).
fof(f5339,plain,
( spl53_554
| ~ spl53_347
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5196,f4591,f3605,f5336]) ).
fof(f5336,plain,
( spl53_554
<=> ssList(app(sK26,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_554])]) ).
fof(f3605,plain,
( spl53_347
<=> ssList(app(sK26,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_347])]) ).
fof(f5196,plain,
( ssList(app(sK26,sK30))
| ~ spl53_347
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3606,f4593]) ).
fof(f3606,plain,
( ssList(app(sK26,tl(nil)))
| ~ spl53_347 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f5334,plain,
( ~ spl53_553
| spl53_398
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5209,f4591,f3899,f5331]) ).
fof(f5331,plain,
( spl53_553
<=> ssList(sK0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_553])]) ).
fof(f3899,plain,
( spl53_398
<=> ssList(sK0(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_398])]) ).
fof(f5209,plain,
( ~ ssList(sK0(sK30))
| spl53_398
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3901,f4593]) ).
fof(f3901,plain,
( ~ ssList(sK0(tl(nil)))
| spl53_398 ),
inference(avatar_component_clause,[],[f3899]) ).
fof(f5329,plain,
( spl53_552
| ~ spl53_419
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5218,f4591,f4019,f5326]) ).
fof(f5326,plain,
( spl53_552
<=> ssList(app(cons(sK29,sK26),sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_552])]) ).
fof(f4019,plain,
( spl53_419
<=> ssList(app(cons(sK29,sK26),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_419])]) ).
fof(f5218,plain,
( ssList(app(cons(sK29,sK26),sK30))
| ~ spl53_419
| ~ spl53_488 ),
inference(backward_demodulation,[],[f4020,f4593]) ).
fof(f4020,plain,
( ssList(app(cons(sK29,sK26),tl(nil)))
| ~ spl53_419 ),
inference(avatar_component_clause,[],[f4019]) ).
fof(f5324,plain,
( ~ spl53_551
| spl53_416
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5216,f4591,f4003,f5321]) ).
fof(f5321,plain,
( spl53_551
<=> nil = sK0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_551])]) ).
fof(f4003,plain,
( spl53_416
<=> nil = sK0(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_416])]) ).
fof(f5216,plain,
( nil != sK0(sK30)
| spl53_416
| ~ spl53_488 ),
inference(backward_demodulation,[],[f4005,f4593]) ).
fof(f4005,plain,
( nil != sK0(tl(nil))
| spl53_416 ),
inference(avatar_component_clause,[],[f4003]) ).
fof(f5319,plain,
( ~ spl53_550
| spl53_363
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5201,f4591,f3690,f5316]) ).
fof(f5316,plain,
( spl53_550
<=> leq(hd(sK30),hd(tl(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_550])]) ).
fof(f3690,plain,
( spl53_363
<=> leq(hd(tl(nil)),hd(tl(tl(nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_363])]) ).
fof(f5201,plain,
( ~ leq(hd(sK30),hd(tl(sK30)))
| spl53_363
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3692,f4593]) ).
fof(f3692,plain,
( ~ leq(hd(tl(nil)),hd(tl(tl(nil))))
| spl53_363 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f5314,plain,
( ~ spl53_549
| ~ spl53_488
| spl53_525 ),
inference(avatar_split_clause,[],[f5224,f5128,f4591,f5311]) ).
fof(f5128,plain,
( spl53_525
<=> hd(tl(nil)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_525])]) ).
fof(f5224,plain,
( hd(sK30) != sK29
| ~ spl53_488
| spl53_525 ),
inference(backward_demodulation,[],[f5130,f4593]) ).
fof(f5130,plain,
( hd(tl(nil)) != sK29
| spl53_525 ),
inference(avatar_component_clause,[],[f5128]) ).
fof(f5309,plain,
( ~ spl53_548
| spl53_364
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5202,f4591,f3695,f5306]) ).
fof(f5306,plain,
( spl53_548
<=> strictorderedP(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_548])]) ).
fof(f3695,plain,
( spl53_364
<=> strictorderedP(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_364])]) ).
fof(f5202,plain,
( ~ strictorderedP(sK30)
| spl53_364
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3697,f4593]) ).
fof(f3697,plain,
( ~ strictorderedP(tl(nil))
| spl53_364 ),
inference(avatar_component_clause,[],[f3695]) ).
fof(f5304,plain,
( ~ spl53_547
| spl53_409
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5213,f4591,f3957,f5301]) ).
fof(f5301,plain,
( spl53_547
<=> strictorderedP(sK0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_547])]) ).
fof(f3957,plain,
( spl53_409
<=> strictorderedP(sK0(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_409])]) ).
fof(f5213,plain,
( ~ strictorderedP(sK0(sK30))
| spl53_409
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3959,f4593]) ).
fof(f3959,plain,
( ~ strictorderedP(sK0(tl(nil)))
| spl53_409 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f5299,plain,
( spl53_546
| ~ spl53_488
| ~ spl53_517 ),
inference(avatar_split_clause,[],[f5222,f5045,f4591,f5296]) ).
fof(f5296,plain,
( spl53_546
<=> leq(sK29,hd(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_546])]) ).
fof(f5045,plain,
( spl53_517
<=> leq(sK29,hd(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_517])]) ).
fof(f5222,plain,
( leq(sK29,hd(sK30))
| ~ spl53_488
| ~ spl53_517 ),
inference(backward_demodulation,[],[f5047,f4593]) ).
fof(f5047,plain,
( leq(sK29,hd(tl(nil)))
| ~ spl53_517 ),
inference(avatar_component_clause,[],[f5045]) ).
fof(f5294,plain,
( ~ spl53_545
| spl53_388
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5207,f4591,f3836,f5291]) ).
fof(f5291,plain,
( spl53_545
<=> ssList(tl(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_545])]) ).
fof(f3836,plain,
( spl53_388
<=> ssList(tl(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_388])]) ).
fof(f5207,plain,
( ~ ssList(tl(sK30))
| spl53_388
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3838,f4593]) ).
fof(f3838,plain,
( ~ ssList(tl(tl(nil)))
| spl53_388 ),
inference(avatar_component_clause,[],[f3836]) ).
fof(f5289,plain,
( ~ spl53_544
| spl53_403
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5212,f4591,f3925,f5286]) ).
fof(f5286,plain,
( spl53_544
<=> tl(sK30) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_544])]) ).
fof(f3925,plain,
( spl53_403
<=> tl(tl(nil)) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_403])]) ).
fof(f5212,plain,
( tl(sK30) != sK30
| spl53_403
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3927,f4593]) ).
fof(f3927,plain,
( tl(tl(nil)) != tl(nil)
| spl53_403 ),
inference(avatar_component_clause,[],[f3925]) ).
fof(f5284,plain,
( ~ spl53_543
| spl53_415
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5215,f4591,f3998,f5281]) ).
fof(f5281,plain,
( spl53_543
<=> sK0(sK30) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_543])]) ).
fof(f3998,plain,
( spl53_415
<=> sK0(tl(nil)) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_415])]) ).
fof(f5215,plain,
( sK0(sK30) != sK30
| spl53_415
| ~ spl53_488 ),
inference(backward_demodulation,[],[f4000,f4593]) ).
fof(f4000,plain,
( sK0(tl(nil)) != tl(nil)
| spl53_415 ),
inference(avatar_component_clause,[],[f3998]) ).
fof(f5279,plain,
( spl53_542
| ~ spl53_418
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5217,f4591,f4013,f5276]) ).
fof(f5276,plain,
( spl53_542
<=> totalorderedP(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_542])]) ).
fof(f4013,plain,
( spl53_418
<=> totalorderedP(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_418])]) ).
fof(f5217,plain,
( totalorderedP(sK30)
| ~ spl53_418
| ~ spl53_488 ),
inference(backward_demodulation,[],[f4014,f4593]) ).
fof(f4014,plain,
( totalorderedP(tl(nil))
| ~ spl53_418 ),
inference(avatar_component_clause,[],[f4013]) ).
fof(f5274,plain,
( spl53_541
| ~ spl53_337
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5192,f4591,f3551,f5271]) ).
fof(f5271,plain,
( spl53_541
<=> ssList(app(sK0(sK26),sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_541])]) ).
fof(f3551,plain,
( spl53_337
<=> ssList(app(sK0(sK26),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_337])]) ).
fof(f5192,plain,
( ssList(app(sK0(sK26),sK30))
| ~ spl53_337
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3552,f4593]) ).
fof(f3552,plain,
( ssList(app(sK0(sK26),tl(nil)))
| ~ spl53_337 ),
inference(avatar_component_clause,[],[f3551]) ).
fof(f5269,plain,
( spl53_540
| ~ spl53_401
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5210,f4591,f3914,f5266]) ).
fof(f5266,plain,
( spl53_540
<=> ssList(app(tl(sK26),sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_540])]) ).
fof(f3914,plain,
( spl53_401
<=> ssList(app(tl(sK26),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_401])]) ).
fof(f5210,plain,
( ssList(app(tl(sK26),sK30))
| ~ spl53_401
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3915,f4593]) ).
fof(f3915,plain,
( ssList(app(tl(sK26),tl(nil)))
| ~ spl53_401 ),
inference(avatar_component_clause,[],[f3914]) ).
fof(f5264,plain,
( ~ spl53_539
| spl53_374
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5204,f4591,f3755,f5261]) ).
fof(f5261,plain,
( spl53_539
<=> leq(sK1(sK30),hd(sK0(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_539])]) ).
fof(f3755,plain,
( spl53_374
<=> leq(sK1(tl(nil)),hd(sK0(tl(nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_374])]) ).
fof(f5204,plain,
( ~ leq(sK1(sK30),hd(sK0(sK30)))
| spl53_374
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3757,f4593]) ).
fof(f3757,plain,
( ~ leq(sK1(tl(nil)),hd(sK0(tl(nil))))
| spl53_374 ),
inference(avatar_component_clause,[],[f3755]) ).
fof(f5259,plain,
( ~ spl53_538
| spl53_68
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5190,f4591,f1208,f5256]) ).
fof(f5256,plain,
( spl53_538
<=> sK46(nil) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_538])]) ).
fof(f1208,plain,
( spl53_68
<=> sK46(nil) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_68])]) ).
fof(f5190,plain,
( sK46(nil) != sK30
| spl53_68
| ~ spl53_488 ),
inference(backward_demodulation,[],[f1210,f4593]) ).
fof(f1210,plain,
( sK46(nil) != tl(nil)
| spl53_68 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f5254,plain,
( spl53_537
| ~ spl53_344
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5195,f4591,f3588,f5251]) ).
fof(f5251,plain,
( spl53_537
<=> ssList(app(sK30,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_537])]) ).
fof(f3588,plain,
( spl53_344
<=> ssList(app(tl(nil),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_344])]) ).
fof(f5195,plain,
( ssList(app(sK30,sK30))
| ~ spl53_344
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3589,f4593]) ).
fof(f3589,plain,
( ssList(app(tl(nil),tl(nil)))
| ~ spl53_344 ),
inference(avatar_component_clause,[],[f3588]) ).
fof(f5249,plain,
( ~ spl53_536
| spl53_356
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5199,f4591,f3650,f5246]) ).
fof(f5246,plain,
( spl53_536
<=> totalorderedP(tl(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_536])]) ).
fof(f3650,plain,
( spl53_356
<=> totalorderedP(tl(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_356])]) ).
fof(f5199,plain,
( ~ totalorderedP(tl(sK30))
| spl53_356
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3652,f4593]) ).
fof(f3652,plain,
( ~ totalorderedP(tl(tl(nil)))
| spl53_356 ),
inference(avatar_component_clause,[],[f3650]) ).
fof(f5244,plain,
( spl53_535
| ~ spl53_391
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5208,f4591,f3852,f5241]) ).
fof(f5241,plain,
( spl53_535
<=> ssItem(sK1(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_535])]) ).
fof(f3852,plain,
( spl53_391
<=> ssItem(sK1(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_391])]) ).
fof(f5208,plain,
( ssItem(sK1(sK30))
| ~ spl53_391
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3854,f4593]) ).
fof(f3854,plain,
( ssItem(sK1(tl(nil)))
| ~ spl53_391 ),
inference(avatar_component_clause,[],[f3852]) ).
fof(f5239,plain,
( ~ spl53_534
| spl53_385
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5206,f4591,f3821,f5236]) ).
fof(f5236,plain,
( spl53_534
<=> lt(sK1(sK30),hd(sK0(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_534])]) ).
fof(f3821,plain,
( spl53_385
<=> lt(sK1(tl(nil)),hd(sK0(tl(nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_385])]) ).
fof(f5206,plain,
( ~ lt(sK1(sK30),hd(sK0(sK30)))
| spl53_385
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3823,f4593]) ).
fof(f3823,plain,
( ~ lt(sK1(tl(nil)),hd(sK0(tl(nil))))
| spl53_385 ),
inference(avatar_component_clause,[],[f3821]) ).
fof(f5234,plain,
( ~ spl53_533
| spl53_411
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5214,f4591,f3968,f5231]) ).
fof(f5231,plain,
( spl53_533
<=> ssItem(hd(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_533])]) ).
fof(f3968,plain,
( spl53_411
<=> ssItem(hd(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_411])]) ).
fof(f5214,plain,
( ~ ssItem(hd(sK30))
| spl53_411
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3970,f4593]) ).
fof(f3970,plain,
( ~ ssItem(hd(tl(nil)))
| spl53_411 ),
inference(avatar_component_clause,[],[f3968]) ).
fof(f5229,plain,
( ~ spl53_532
| spl53_373
| ~ spl53_488 ),
inference(avatar_split_clause,[],[f5203,f4591,f3750,f5226]) ).
fof(f5226,plain,
( spl53_532
<=> nil = tl(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_532])]) ).
fof(f3750,plain,
( spl53_373
<=> nil = tl(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_373])]) ).
fof(f5203,plain,
( nil != tl(sK30)
| spl53_373
| ~ spl53_488 ),
inference(backward_demodulation,[],[f3752,f4593]) ).
fof(f3752,plain,
( nil != tl(tl(nil))
| spl53_373 ),
inference(avatar_component_clause,[],[f3750]) ).
fof(f5179,plain,
( spl53_531
| ~ spl53_490
| ~ spl53_491 ),
inference(avatar_split_clause,[],[f5174,f4914,f4909,f5176]) ).
fof(f5176,plain,
( spl53_531
<=> ssList(cons(sK29,cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_531])]) ).
fof(f4909,plain,
( spl53_490
<=> ssList(app(cons(sK29,nil),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_490])]) ).
fof(f4914,plain,
( spl53_491
<=> cons(sK29,cons(sK29,nil)) = app(cons(sK29,nil),cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_491])]) ).
fof(f5174,plain,
( ssList(cons(sK29,cons(sK29,nil)))
| ~ spl53_490
| ~ spl53_491 ),
inference(backward_demodulation,[],[f4911,f4916]) ).
fof(f4916,plain,
( cons(sK29,cons(sK29,nil)) = app(cons(sK29,nil),cons(sK29,nil))
| ~ spl53_491 ),
inference(avatar_component_clause,[],[f4914]) ).
fof(f4911,plain,
( ssList(app(cons(sK29,nil),cons(sK29,nil)))
| ~ spl53_490 ),
inference(avatar_component_clause,[],[f4909]) ).
fof(f5173,plain,
( ~ spl53_529
| spl53_518
| ~ spl53_522 ),
inference(avatar_split_clause,[],[f5172,f5104,f5056,f5161]) ).
fof(f5161,plain,
( spl53_529
<=> hd(app(tl(nil),cons(sK29,nil))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_529])]) ).
fof(f5056,plain,
( spl53_518
<=> hd(app(nil,app(tl(nil),cons(sK29,nil)))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_518])]) ).
fof(f5104,plain,
( spl53_522
<=> app(nil,app(tl(nil),cons(sK29,nil))) = app(tl(nil),cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_522])]) ).
fof(f5172,plain,
( hd(app(tl(nil),cons(sK29,nil))) != sK29
| spl53_518
| ~ spl53_522 ),
inference(backward_demodulation,[],[f5058,f5106]) ).
fof(f5106,plain,
( app(nil,app(tl(nil),cons(sK29,nil))) = app(tl(nil),cons(sK29,nil))
| ~ spl53_522 ),
inference(avatar_component_clause,[],[f5104]) ).
fof(f5058,plain,
( hd(app(nil,app(tl(nil),cons(sK29,nil)))) != sK29
| spl53_518 ),
inference(avatar_component_clause,[],[f5056]) ).
fof(f5171,plain,
( spl53_530
| ~ spl53_353
| ~ spl53_524 ),
inference(avatar_split_clause,[],[f5166,f5119,f3635,f5168]) ).
fof(f5168,plain,
( spl53_530
<=> nil = app(cons(sK29,nil),tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_530])]) ).
fof(f3635,plain,
( spl53_353
<=> cons(sK29,tl(nil)) = app(cons(sK29,nil),tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_353])]) ).
fof(f5119,plain,
( spl53_524
<=> nil = cons(sK29,tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_524])]) ).
fof(f5166,plain,
( nil = app(cons(sK29,nil),tl(nil))
| ~ spl53_353
| ~ spl53_524 ),
inference(backward_demodulation,[],[f3636,f5121]) ).
fof(f5121,plain,
( nil = cons(sK29,tl(nil))
| ~ spl53_524 ),
inference(avatar_component_clause,[],[f5119]) ).
fof(f3636,plain,
( cons(sK29,tl(nil)) = app(cons(sK29,nil),tl(nil))
| ~ spl53_353 ),
inference(avatar_component_clause,[],[f3635]) ).
fof(f5164,plain,
( ~ spl53_529
| ~ spl53_424
| spl53_487 ),
inference(avatar_split_clause,[],[f5159,f4576,f4061,f5161]) ).
fof(f4576,plain,
( spl53_487
<=> hd(nil) = hd(app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_487])]) ).
fof(f5159,plain,
( hd(app(tl(nil),cons(sK29,nil))) != sK29
| ~ spl53_424
| spl53_487 ),
inference(forward_demodulation,[],[f4578,f4062]) ).
fof(f4578,plain,
( hd(nil) != hd(app(tl(nil),cons(hd(nil),nil)))
| spl53_487 ),
inference(avatar_component_clause,[],[f4576]) ).
fof(f5158,plain,
( spl53_496
| ~ spl53_37
| ~ spl53_45
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5157,f4061,f871,f805,f4939]) ).
fof(f4939,plain,
( spl53_496
<=> app(nil,cons(sK29,nil)) = cons(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_496])]) ).
fof(f805,plain,
( spl53_37
<=> nil = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_37])]) ).
fof(f871,plain,
( spl53_45
<=> app(nil,cons(hd(sK25),nil)) = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_45])]) ).
fof(f5157,plain,
( app(nil,cons(sK29,nil)) = cons(sK29,nil)
| ~ spl53_37
| ~ spl53_45
| ~ spl53_424 ),
inference(forward_demodulation,[],[f1052,f4062]) ).
fof(f1052,plain,
( cons(hd(nil),nil) = app(nil,cons(hd(nil),nil))
| ~ spl53_37
| ~ spl53_45 ),
inference(backward_demodulation,[],[f873,f807]) ).
fof(f807,plain,
( nil = sK25
| ~ spl53_37 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f873,plain,
( app(nil,cons(hd(sK25),nil)) = cons(hd(sK25),nil)
| ~ spl53_45 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f5156,plain,
( spl53_528
| ~ spl53_37
| ~ spl53_424
| ~ spl53_449 ),
inference(avatar_split_clause,[],[f5151,f4328,f4061,f805,f5153]) ).
fof(f5153,plain,
( spl53_528
<=> ssList(app(app(tl(nil),cons(sK29,nil)),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_528])]) ).
fof(f4328,plain,
( spl53_449
<=> ssList(app(app(tl(sK25),cons(hd(nil),nil)),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_449])]) ).
fof(f5151,plain,
( ssList(app(app(tl(nil),cons(sK29,nil)),nil))
| ~ spl53_37
| ~ spl53_424
| ~ spl53_449 ),
inference(forward_demodulation,[],[f5150,f4062]) ).
fof(f5150,plain,
( ssList(app(app(tl(nil),cons(hd(nil),nil)),nil))
| ~ spl53_37
| ~ spl53_449 ),
inference(forward_demodulation,[],[f4330,f807]) ).
fof(f4330,plain,
( ssList(app(app(tl(sK25),cons(hd(nil),nil)),sK25))
| ~ spl53_449 ),
inference(avatar_component_clause,[],[f4328]) ).
fof(f5149,plain,
( spl53_527
| ~ spl53_37
| ~ spl53_424
| ~ spl53_443 ),
inference(avatar_split_clause,[],[f5144,f4298,f4061,f805,f5146]) ).
fof(f5146,plain,
( spl53_527
<=> hd(cons(sK29,app(tl(nil),cons(sK29,nil)))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_527])]) ).
fof(f4298,plain,
( spl53_443
<=> hd(nil) = hd(cons(hd(nil),app(tl(sK25),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_443])]) ).
fof(f5144,plain,
( hd(cons(sK29,app(tl(nil),cons(sK29,nil)))) = sK29
| ~ spl53_37
| ~ spl53_424
| ~ spl53_443 ),
inference(forward_demodulation,[],[f5143,f807]) ).
fof(f5143,plain,
( sK29 = hd(cons(sK29,app(tl(sK25),cons(sK29,nil))))
| ~ spl53_424
| ~ spl53_443 ),
inference(forward_demodulation,[],[f4300,f4062]) ).
fof(f4300,plain,
( hd(nil) = hd(cons(hd(nil),app(tl(sK25),cons(hd(nil),nil))))
| ~ spl53_443 ),
inference(avatar_component_clause,[],[f4298]) ).
fof(f5142,plain,
( ~ spl53_503
| ~ spl53_37
| ~ spl53_157
| spl53_218
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5141,f4061,f2521,f2026,f805,f4974]) ).
fof(f4974,plain,
( spl53_503
<=> sK29 = hd(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_503])]) ).
fof(f2026,plain,
( spl53_157
<=> app(nil,sK0(sK26)) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_157])]) ).
fof(f2521,plain,
( spl53_218
<=> hd(sK25) = hd(app(sK25,sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_218])]) ).
fof(f5141,plain,
( sK29 != hd(sK0(sK26))
| ~ spl53_37
| ~ spl53_157
| spl53_218
| ~ spl53_424 ),
inference(forward_demodulation,[],[f5140,f4062]) ).
fof(f5140,plain,
( hd(nil) != hd(sK0(sK26))
| ~ spl53_37
| ~ spl53_157
| spl53_218 ),
inference(forward_demodulation,[],[f5139,f2028]) ).
fof(f2028,plain,
( app(nil,sK0(sK26)) = sK0(sK26)
| ~ spl53_157 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f5139,plain,
( hd(nil) != hd(app(nil,sK0(sK26)))
| ~ spl53_37
| spl53_218 ),
inference(forward_demodulation,[],[f2522,f807]) ).
fof(f2522,plain,
( hd(sK25) != hd(app(sK25,sK0(sK26)))
| spl53_218 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f5138,plain,
( spl53_526
| ~ spl53_353
| ~ spl53_392
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5133,f4061,f3859,f3635,f5135]) ).
fof(f5135,plain,
( spl53_526
<=> ssList(cons(sK29,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_526])]) ).
fof(f3859,plain,
( spl53_392
<=> ssList(app(cons(hd(nil),nil),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_392])]) ).
fof(f5133,plain,
( ssList(cons(sK29,tl(nil)))
| ~ spl53_353
| ~ spl53_392
| ~ spl53_424 ),
inference(forward_demodulation,[],[f5132,f3636]) ).
fof(f5132,plain,
( ssList(app(cons(sK29,nil),tl(nil)))
| ~ spl53_392
| ~ spl53_424 ),
inference(forward_demodulation,[],[f3860,f4062]) ).
fof(f3860,plain,
( ssList(app(cons(hd(nil),nil),tl(nil)))
| ~ spl53_392 ),
inference(avatar_component_clause,[],[f3859]) ).
fof(f5131,plain,
( ~ spl53_525
| ~ spl53_37
| spl53_232
| ~ spl53_342
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5126,f4061,f3576,f2629,f805,f5128]) ).
fof(f2629,plain,
( spl53_232
<=> hd(sK25) = hd(app(sK25,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_232])]) ).
fof(f3576,plain,
( spl53_342
<=> app(nil,tl(nil)) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_342])]) ).
fof(f5126,plain,
( hd(tl(nil)) != sK29
| ~ spl53_37
| spl53_232
| ~ spl53_342
| ~ spl53_424 ),
inference(forward_demodulation,[],[f5125,f4062]) ).
fof(f5125,plain,
( hd(tl(nil)) != hd(nil)
| ~ spl53_37
| spl53_232
| ~ spl53_342 ),
inference(forward_demodulation,[],[f5124,f3577]) ).
fof(f3577,plain,
( app(nil,tl(nil)) = tl(nil)
| ~ spl53_342 ),
inference(avatar_component_clause,[],[f3576]) ).
fof(f5124,plain,
( hd(nil) != hd(app(nil,tl(nil)))
| ~ spl53_37
| spl53_232 ),
inference(forward_demodulation,[],[f2630,f807]) ).
fof(f2630,plain,
( hd(sK25) != hd(app(sK25,tl(sK25)))
| spl53_232 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f5122,plain,
( spl53_524
| ~ spl53_169
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5117,f4061,f2113,f5119]) ).
fof(f2113,plain,
( spl53_169
<=> nil = cons(hd(nil),tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_169])]) ).
fof(f5117,plain,
( nil = cons(sK29,tl(nil))
| ~ spl53_169
| ~ spl53_424 ),
inference(forward_demodulation,[],[f2114,f4062]) ).
fof(f2114,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_169 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f5116,plain,
( ~ spl53_507
| ~ spl53_37
| spl53_314
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5115,f4061,f3196,f805,f4994]) ).
fof(f4994,plain,
( spl53_507
<=> cons(sK29,nil) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_507])]) ).
fof(f3196,plain,
( spl53_314
<=> cons(hd(sK25),nil) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_314])]) ).
fof(f5115,plain,
( cons(sK29,nil) != sK26
| ~ spl53_37
| spl53_314
| ~ spl53_424 ),
inference(forward_demodulation,[],[f3513,f4062]) ).
fof(f3513,plain,
( cons(hd(nil),nil) != sK26
| ~ spl53_37
| spl53_314 ),
inference(backward_demodulation,[],[f3198,f807]) ).
fof(f3198,plain,
( cons(hd(sK25),nil) != sK26
| spl53_314 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f5114,plain,
( spl53_523
| ~ spl53_37
| ~ spl53_424
| ~ spl53_445 ),
inference(avatar_split_clause,[],[f5109,f4308,f4061,f805,f5111]) ).
fof(f5111,plain,
( spl53_523
<=> ssList(app(app(tl(nil),cons(sK29,nil)),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_523])]) ).
fof(f4308,plain,
( spl53_445
<=> ssList(app(app(tl(sK25),cons(hd(nil),nil)),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_445])]) ).
fof(f5109,plain,
( ssList(app(app(tl(nil),cons(sK29,nil)),cons(sK29,nil)))
| ~ spl53_37
| ~ spl53_424
| ~ spl53_445 ),
inference(forward_demodulation,[],[f5108,f807]) ).
fof(f5108,plain,
( ssList(app(app(tl(sK25),cons(sK29,nil)),cons(sK29,nil)))
| ~ spl53_424
| ~ spl53_445 ),
inference(forward_demodulation,[],[f4310,f4062]) ).
fof(f4310,plain,
( ssList(app(app(tl(sK25),cons(hd(nil),nil)),cons(hd(nil),nil)))
| ~ spl53_445 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f5107,plain,
( spl53_522
| ~ spl53_37
| ~ spl53_424
| ~ spl53_458 ),
inference(avatar_split_clause,[],[f5102,f4375,f4061,f805,f5104]) ).
fof(f4375,plain,
( spl53_458
<=> app(nil,app(tl(sK25),cons(hd(nil),nil))) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_458])]) ).
fof(f5102,plain,
( app(nil,app(tl(nil),cons(sK29,nil))) = app(tl(nil),cons(sK29,nil))
| ~ spl53_37
| ~ spl53_424
| ~ spl53_458 ),
inference(forward_demodulation,[],[f5101,f807]) ).
fof(f5101,plain,
( app(tl(sK25),cons(sK29,nil)) = app(nil,app(tl(sK25),cons(sK29,nil)))
| ~ spl53_424
| ~ spl53_458 ),
inference(forward_demodulation,[],[f4377,f4062]) ).
fof(f4377,plain,
( app(nil,app(tl(sK25),cons(hd(nil),nil))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_458 ),
inference(avatar_component_clause,[],[f4375]) ).
fof(f5100,plain,
( spl53_489
| ~ spl53_37
| ~ spl53_326
| ~ spl53_424
| ~ spl53_464 ),
inference(avatar_split_clause,[],[f5099,f4406,f4061,f3290,f805,f4904]) ).
fof(f3290,plain,
( spl53_326
<=> app(cons(sK29,nil),nil) = cons(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_326])]) ).
fof(f4406,plain,
( spl53_464
<=> ssList(app(cons(hd(nil),nil),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_464])]) ).
fof(f5099,plain,
( ssList(cons(sK29,nil))
| ~ spl53_37
| ~ spl53_326
| ~ spl53_424
| ~ spl53_464 ),
inference(forward_demodulation,[],[f5098,f3292]) ).
fof(f3292,plain,
( app(cons(sK29,nil),nil) = cons(sK29,nil)
| ~ spl53_326 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f5098,plain,
( ssList(app(cons(sK29,nil),nil))
| ~ spl53_37
| ~ spl53_424
| ~ spl53_464 ),
inference(forward_demodulation,[],[f5097,f4062]) ).
fof(f5097,plain,
( ssList(app(cons(hd(nil),nil),nil))
| ~ spl53_37
| ~ spl53_464 ),
inference(forward_demodulation,[],[f4408,f807]) ).
fof(f4408,plain,
( ssList(app(cons(hd(nil),nil),sK25))
| ~ spl53_464 ),
inference(avatar_component_clause,[],[f4406]) ).
fof(f5096,plain,
( spl53_521
| ~ spl53_37
| ~ spl53_424
| ~ spl53_457 ),
inference(avatar_split_clause,[],[f5091,f4370,f4061,f805,f5093]) ).
fof(f5093,plain,
( spl53_521
<=> cons(sK1(app(tl(nil),cons(sK29,nil))),sK0(app(tl(nil),cons(sK29,nil)))) = app(tl(nil),cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_521])]) ).
fof(f4370,plain,
( spl53_457
<=> cons(sK1(app(tl(sK25),cons(hd(nil),nil))),sK0(app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_457])]) ).
fof(f5091,plain,
( cons(sK1(app(tl(nil),cons(sK29,nil))),sK0(app(tl(nil),cons(sK29,nil)))) = app(tl(nil),cons(sK29,nil))
| ~ spl53_37
| ~ spl53_424
| ~ spl53_457 ),
inference(forward_demodulation,[],[f5090,f807]) ).
fof(f5090,plain,
( app(tl(sK25),cons(sK29,nil)) = cons(sK1(app(tl(sK25),cons(sK29,nil))),sK0(app(tl(sK25),cons(sK29,nil))))
| ~ spl53_424
| ~ spl53_457 ),
inference(forward_demodulation,[],[f4372,f4062]) ).
fof(f4372,plain,
( cons(sK1(app(tl(sK25),cons(hd(nil),nil))),sK0(app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_457 ),
inference(avatar_component_clause,[],[f4370]) ).
fof(f5089,plain,
( spl53_520
| ~ spl53_37
| ~ spl53_256
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5084,f4061,f2791,f805,f5086]) ).
fof(f5086,plain,
( spl53_520
<=> hd(sK26) = hd(app(sK26,app(tl(nil),cons(sK29,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_520])]) ).
fof(f2791,plain,
( spl53_256
<=> hd(sK26) = hd(app(sK26,app(tl(sK25),cons(hd(sK25),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_256])]) ).
fof(f5084,plain,
( hd(sK26) = hd(app(sK26,app(tl(nil),cons(sK29,nil))))
| ~ spl53_37
| ~ spl53_256
| ~ spl53_424 ),
inference(forward_demodulation,[],[f3475,f4062]) ).
fof(f3475,plain,
( hd(app(sK26,app(tl(nil),cons(hd(nil),nil)))) = hd(sK26)
| ~ spl53_37
| ~ spl53_256 ),
inference(backward_demodulation,[],[f2793,f807]) ).
fof(f2793,plain,
( hd(sK26) = hd(app(sK26,app(tl(sK25),cons(hd(sK25),nil))))
| ~ spl53_256 ),
inference(avatar_component_clause,[],[f2791]) ).
fof(f5073,plain,
( spl53_41
| ~ spl53_336
| ~ spl53_420 ),
inference(avatar_split_clause,[],[f5072,f4025,f3545,f841]) ).
fof(f841,plain,
( spl53_41
<=> ssList(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_41])]) ).
fof(f3545,plain,
( spl53_336
<=> app(tl(nil),nil) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_336])]) ).
fof(f4025,plain,
( spl53_420
<=> ssList(app(tl(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_420])]) ).
fof(f5072,plain,
( ssList(tl(nil))
| ~ spl53_336
| ~ spl53_420 ),
inference(forward_demodulation,[],[f4026,f3546]) ).
fof(f3546,plain,
( app(tl(nil),nil) = tl(nil)
| ~ spl53_336 ),
inference(avatar_component_clause,[],[f3545]) ).
fof(f4026,plain,
( ssList(app(tl(nil),nil))
| ~ spl53_420 ),
inference(avatar_component_clause,[],[f4025]) ).
fof(f5070,plain,
( spl53_519
| ~ spl53_421
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5065,f4061,f4037,f5067]) ).
fof(f5067,plain,
( spl53_519
<=> cons(sK29,app(tl(nil),cons(sK29,nil))) = app(cons(sK29,nil),app(tl(nil),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_519])]) ).
fof(f4037,plain,
( spl53_421
<=> app(cons(sK29,nil),app(tl(nil),cons(hd(nil),nil))) = cons(sK29,app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_421])]) ).
fof(f5065,plain,
( cons(sK29,app(tl(nil),cons(sK29,nil))) = app(cons(sK29,nil),app(tl(nil),cons(sK29,nil)))
| ~ spl53_421
| ~ spl53_424 ),
inference(forward_demodulation,[],[f4038,f4062]) ).
fof(f4038,plain,
( app(cons(sK29,nil),app(tl(nil),cons(hd(nil),nil))) = cons(sK29,app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_421 ),
inference(avatar_component_clause,[],[f4037]) ).
fof(f5064,plain,
( spl53_517
| ~ spl53_37
| ~ spl53_283
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5063,f4061,f2981,f805,f5045]) ).
fof(f2981,plain,
( spl53_283
<=> leq(hd(sK25),hd(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_283])]) ).
fof(f5063,plain,
( leq(sK29,hd(tl(nil)))
| ~ spl53_37
| ~ spl53_283
| ~ spl53_424 ),
inference(forward_demodulation,[],[f3487,f4062]) ).
fof(f3487,plain,
( leq(hd(nil),hd(tl(nil)))
| ~ spl53_37
| ~ spl53_283 ),
inference(backward_demodulation,[],[f2983,f807]) ).
fof(f2983,plain,
( leq(hd(sK25),hd(tl(sK25)))
| ~ spl53_283 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f5062,plain,
( ~ spl53_518
| ~ spl53_37
| spl53_244
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5061,f4061,f2732,f805,f5056]) ).
fof(f2732,plain,
( spl53_244
<=> hd(app(sK25,app(tl(sK25),cons(hd(sK25),nil)))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_244])]) ).
fof(f5061,plain,
( hd(app(nil,app(tl(nil),cons(sK29,nil)))) != sK29
| ~ spl53_37
| spl53_244
| ~ spl53_424 ),
inference(forward_demodulation,[],[f5060,f4062]) ).
fof(f5060,plain,
( hd(nil) != hd(app(nil,app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_244 ),
inference(forward_demodulation,[],[f2733,f807]) ).
fof(f2733,plain,
( hd(app(sK25,app(tl(sK25),cons(hd(sK25),nil)))) != hd(sK25)
| spl53_244 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f5059,plain,
( ~ spl53_518
| ~ spl53_37
| spl53_244
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f5054,f4061,f2732,f805,f5056]) ).
fof(f5054,plain,
( hd(app(nil,app(tl(nil),cons(sK29,nil)))) != sK29
| ~ spl53_37
| spl53_244
| ~ spl53_424 ),
inference(forward_demodulation,[],[f3465,f4062]) ).
fof(f3465,plain,
( hd(nil) != hd(app(nil,app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_244 ),
inference(backward_demodulation,[],[f2733,f807]) ).
fof(f5049,plain,
( spl53_500
| ~ spl53_379
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4885,f4061,f3786,f4959]) ).
fof(f4959,plain,
( spl53_500
<=> cons(sK29,nil) = tl(cons(sK29,cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_500])]) ).
fof(f3786,plain,
( spl53_379
<=> cons(hd(nil),nil) = tl(cons(hd(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_379])]) ).
fof(f4885,plain,
( cons(sK29,nil) = tl(cons(sK29,cons(sK29,nil)))
| ~ spl53_379
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3787,f4062]) ).
fof(f3787,plain,
( cons(hd(nil),nil) = tl(cons(hd(nil),cons(hd(nil),nil)))
| ~ spl53_379 ),
inference(avatar_component_clause,[],[f3786]) ).
fof(f5048,plain,
( spl53_517
| ~ spl53_387
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4890,f4061,f3831,f5045]) ).
fof(f3831,plain,
( spl53_387
<=> leq(hd(nil),hd(tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_387])]) ).
fof(f4890,plain,
( leq(sK29,hd(tl(nil)))
| ~ spl53_387
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3833,f4062]) ).
fof(f3833,plain,
( leq(hd(nil),hd(tl(nil)))
| ~ spl53_387 ),
inference(avatar_component_clause,[],[f3831]) ).
fof(f5043,plain,
( ~ spl53_516
| spl53_343
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4873,f4061,f3583,f5040]) ).
fof(f5040,plain,
( spl53_516
<=> hd(sK26) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_516])]) ).
fof(f3583,plain,
( spl53_343
<=> hd(nil) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_343])]) ).
fof(f4873,plain,
( hd(sK26) != sK29
| spl53_343
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3585,f4062]) ).
fof(f3585,plain,
( hd(nil) != hd(sK26)
| spl53_343 ),
inference(avatar_component_clause,[],[f3583]) ).
fof(f5038,plain,
( ~ spl53_515
| spl53_372
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4882,f4061,f3744,f5035]) ).
fof(f5035,plain,
( spl53_515
<=> lt(sK1(nil),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_515])]) ).
fof(f3744,plain,
( spl53_372
<=> lt(sK1(nil),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_372])]) ).
fof(f4882,plain,
( ~ lt(sK1(nil),sK29)
| spl53_372
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3746,f4062]) ).
fof(f3746,plain,
( ~ lt(sK1(nil),hd(nil))
| spl53_372 ),
inference(avatar_component_clause,[],[f3744]) ).
fof(f5033,plain,
( ~ spl53_514
| spl53_166
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4865,f4061,f2085,f5030]) ).
fof(f5030,plain,
( spl53_514
<=> lt(sK1(sK26),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_514])]) ).
fof(f2085,plain,
( spl53_166
<=> lt(sK1(sK26),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_166])]) ).
fof(f4865,plain,
( ~ lt(sK1(sK26),sK29)
| spl53_166
| ~ spl53_424 ),
inference(backward_demodulation,[],[f2087,f4062]) ).
fof(f2087,plain,
( ~ lt(sK1(sK26),hd(nil))
| spl53_166 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f5028,plain,
( spl53_513
| ~ spl53_390
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4891,f4061,f3846,f5025]) ).
fof(f5025,plain,
( spl53_513
<=> ssList(app(sK0(sK26),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_513])]) ).
fof(f3846,plain,
( spl53_390
<=> ssList(app(sK0(sK26),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_390])]) ).
fof(f4891,plain,
( ssList(app(sK0(sK26),cons(sK29,nil)))
| ~ spl53_390
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3847,f4062]) ).
fof(f3847,plain,
( ssList(app(sK0(sK26),cons(hd(nil),nil)))
| ~ spl53_390 ),
inference(avatar_component_clause,[],[f3846]) ).
fof(f5023,plain,
( ~ spl53_512
| spl53_381
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4886,f4061,f3799,f5020]) ).
fof(f5020,plain,
( spl53_512
<=> sK0(sK26) = cons(sK29,sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_512])]) ).
fof(f3799,plain,
( spl53_381
<=> cons(hd(nil),sK0(sK26)) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_381])]) ).
fof(f4886,plain,
( sK0(sK26) != cons(sK29,sK0(sK26))
| spl53_381
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3801,f4062]) ).
fof(f3801,plain,
( cons(hd(nil),sK0(sK26)) != sK0(sK26)
| spl53_381 ),
inference(avatar_component_clause,[],[f3799]) ).
fof(f5018,plain,
( ~ spl53_511
| spl53_332
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4867,f4061,f3524,f5015]) ).
fof(f5015,plain,
( spl53_511
<=> cons(sK29,cons(sK29,sK26)) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_511])]) ).
fof(f3524,plain,
( spl53_332
<=> cons(hd(nil),cons(sK29,sK26)) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_332])]) ).
fof(f4867,plain,
( cons(sK29,cons(sK29,sK26)) != cons(sK29,sK26)
| spl53_332
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3526,f4062]) ).
fof(f3526,plain,
( cons(hd(nil),cons(sK29,sK26)) != cons(sK29,sK26)
| spl53_332 ),
inference(avatar_component_clause,[],[f3524]) ).
fof(f5013,plain,
( ~ spl53_510
| spl53_383
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4888,f4061,f3811,f5010]) ).
fof(f5010,plain,
( spl53_510
<=> leq(sK1(nil),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_510])]) ).
fof(f3811,plain,
( spl53_383
<=> leq(sK1(nil),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_383])]) ).
fof(f4888,plain,
( ~ leq(sK1(nil),sK29)
| spl53_383
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3813,f4062]) ).
fof(f3813,plain,
( ~ leq(sK1(nil),hd(nil))
| spl53_383 ),
inference(avatar_component_clause,[],[f3811]) ).
fof(f5008,plain,
( ~ spl53_509
| spl53_358
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4878,f4061,f3665,f5005]) ).
fof(f5005,plain,
( spl53_509
<=> cons(sK29,sK26) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_509])]) ).
fof(f3665,plain,
( spl53_358
<=> cons(hd(nil),sK26) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_358])]) ).
fof(f4878,plain,
( cons(sK29,sK26) != sK26
| spl53_358
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3667,f4062]) ).
fof(f3667,plain,
( cons(hd(nil),sK26) != sK26
| spl53_358 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f5003,plain,
( spl53_508
| ~ spl53_333
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4868,f4061,f3529,f5000]) ).
fof(f5000,plain,
( spl53_508
<=> ssList(app(tl(sK26),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_508])]) ).
fof(f3529,plain,
( spl53_333
<=> ssList(app(tl(sK26),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_333])]) ).
fof(f4868,plain,
( ssList(app(tl(sK26),cons(sK29,nil)))
| ~ spl53_333
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3530,f4062]) ).
fof(f3530,plain,
( ssList(app(tl(sK26),cons(hd(nil),nil)))
| ~ spl53_333 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f4998,plain,
( spl53_501
| ~ spl53_423
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4898,f4061,f4052,f4964]) ).
fof(f4964,plain,
( spl53_501
<=> sK29 = hd(cons(sK29,cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_501])]) ).
fof(f4052,plain,
( spl53_423
<=> hd(nil) = hd(cons(hd(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_423])]) ).
fof(f4898,plain,
( sK29 = hd(cons(sK29,cons(sK29,nil)))
| ~ spl53_423
| ~ spl53_424 ),
inference(backward_demodulation,[],[f4053,f4062]) ).
fof(f4053,plain,
( hd(nil) = hd(cons(hd(nil),cons(hd(nil),nil)))
| ~ spl53_423 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f4997,plain,
( ~ spl53_507
| spl53_341
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4872,f4061,f3571,f4994]) ).
fof(f3571,plain,
( spl53_341
<=> cons(hd(nil),nil) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_341])]) ).
fof(f4872,plain,
( cons(sK29,nil) != sK26
| spl53_341
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3573,f4062]) ).
fof(f3573,plain,
( cons(hd(nil),nil) != sK26
| spl53_341 ),
inference(avatar_component_clause,[],[f3571]) ).
fof(f4992,plain,
( spl53_506
| ~ spl53_424
| ~ spl53_426 ),
inference(avatar_split_clause,[],[f4899,f4076,f4061,f4989]) ).
fof(f4989,plain,
( spl53_506
<=> hd(app(sK26,cons(sK29,nil))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_506])]) ).
fof(f4076,plain,
( spl53_426
<=> hd(app(sK26,cons(hd(nil),nil))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_426])]) ).
fof(f4899,plain,
( hd(app(sK26,cons(sK29,nil))) = hd(sK26)
| ~ spl53_424
| ~ spl53_426 ),
inference(backward_demodulation,[],[f4077,f4062]) ).
fof(f4077,plain,
( hd(app(sK26,cons(hd(nil),nil))) = hd(sK26)
| ~ spl53_426 ),
inference(avatar_component_clause,[],[f4076]) ).
fof(f4987,plain,
( ~ spl53_505
| spl53_55
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4863,f4061,f1011,f4984]) ).
fof(f4984,plain,
( spl53_505
<=> nil = app(tl(nil),cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_505])]) ).
fof(f1011,plain,
( spl53_55
<=> nil = app(tl(nil),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_55])]) ).
fof(f4863,plain,
( nil != app(tl(nil),cons(sK29,nil))
| spl53_55
| ~ spl53_424 ),
inference(backward_demodulation,[],[f1013,f4062]) ).
fof(f1013,plain,
( nil != app(tl(nil),cons(hd(nil),nil))
| spl53_55 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f4982,plain,
( spl53_504
| ~ spl53_334
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4869,f4061,f3534,f4979]) ).
fof(f4979,plain,
( spl53_504
<=> ssList(app(cons(sK29,sK26),cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_504])]) ).
fof(f3534,plain,
( spl53_334
<=> ssList(app(cons(sK29,sK26),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_334])]) ).
fof(f4869,plain,
( ssList(app(cons(sK29,sK26),cons(sK29,nil)))
| ~ spl53_334
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3535,f4062]) ).
fof(f3535,plain,
( ssList(app(cons(sK29,sK26),cons(hd(nil),nil)))
| ~ spl53_334 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f4977,plain,
( ~ spl53_503
| spl53_412
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4895,f4061,f3975,f4974]) ).
fof(f3975,plain,
( spl53_412
<=> hd(nil) = hd(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_412])]) ).
fof(f4895,plain,
( sK29 != hd(sK0(sK26))
| spl53_412
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3977,f4062]) ).
fof(f3977,plain,
( hd(nil) != hd(sK0(sK26))
| spl53_412 ),
inference(avatar_component_clause,[],[f3975]) ).
fof(f4972,plain,
( spl53_502
| ~ spl53_382
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4887,f4061,f3806,f4969]) ).
fof(f4969,plain,
( spl53_502
<=> ssList(app(sK26,cons(sK29,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_502])]) ).
fof(f3806,plain,
( spl53_382
<=> ssList(app(sK26,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_382])]) ).
fof(f4887,plain,
( ssList(app(sK26,cons(sK29,nil)))
| ~ spl53_382
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3807,f4062]) ).
fof(f3807,plain,
( ssList(app(sK26,cons(hd(nil),nil)))
| ~ spl53_382 ),
inference(avatar_component_clause,[],[f3806]) ).
fof(f4967,plain,
( spl53_501
| ~ spl53_424
| ~ spl53_427 ),
inference(avatar_split_clause,[],[f4900,f4082,f4061,f4964]) ).
fof(f4082,plain,
( spl53_427
<=> sK29 = hd(cons(sK29,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_427])]) ).
fof(f4900,plain,
( sK29 = hd(cons(sK29,cons(sK29,nil)))
| ~ spl53_424
| ~ spl53_427 ),
inference(backward_demodulation,[],[f4083,f4062]) ).
fof(f4083,plain,
( sK29 = hd(cons(sK29,cons(hd(nil),nil)))
| ~ spl53_427 ),
inference(avatar_component_clause,[],[f4082]) ).
fof(f4962,plain,
( spl53_500
| ~ spl53_360
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4879,f4061,f3675,f4959]) ).
fof(f3675,plain,
( spl53_360
<=> cons(hd(nil),nil) = tl(cons(sK29,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_360])]) ).
fof(f4879,plain,
( cons(sK29,nil) = tl(cons(sK29,cons(sK29,nil)))
| ~ spl53_360
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3676,f4062]) ).
fof(f3676,plain,
( cons(hd(nil),nil) = tl(cons(sK29,cons(hd(nil),nil)))
| ~ spl53_360 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f4957,plain,
( spl53_499
| ~ spl53_38
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4857,f4061,f826,f4954]) ).
fof(f4954,plain,
( spl53_499
<=> app(tl(nil),cons(sK29,nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_499])]) ).
fof(f826,plain,
( spl53_38
<=> app(tl(nil),cons(hd(nil),nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_38])]) ).
fof(f4857,plain,
( app(tl(nil),cons(sK29,nil)) = sK26
| ~ spl53_38
| ~ spl53_424 ),
inference(backward_demodulation,[],[f827,f4062]) ).
fof(f827,plain,
( app(tl(nil),cons(hd(nil),nil)) = sK26
| ~ spl53_38 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f4952,plain,
( spl53_498
| ~ spl53_348
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4874,f4061,f3610,f4949]) ).
fof(f4949,plain,
( spl53_498
<=> sK2(cons(sK29,nil)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_498])]) ).
fof(f3610,plain,
( spl53_348
<=> hd(nil) = sK2(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_348])]) ).
fof(f4874,plain,
( sK2(cons(sK29,nil)) = sK29
| ~ spl53_348
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3611,f4062]) ).
fof(f3611,plain,
( hd(nil) = sK2(cons(hd(nil),nil))
| ~ spl53_348 ),
inference(avatar_component_clause,[],[f3610]) ).
fof(f4947,plain,
( ~ spl53_497
| spl53_365
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4880,f4061,f3701,f4944]) ).
fof(f4944,plain,
( spl53_497
<=> hd(tl(sK26)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_497])]) ).
fof(f3701,plain,
( spl53_365
<=> hd(nil) = hd(tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_365])]) ).
fof(f4880,plain,
( hd(tl(sK26)) != sK29
| spl53_365
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3703,f4062]) ).
fof(f3703,plain,
( hd(nil) != hd(tl(sK26))
| spl53_365 ),
inference(avatar_component_clause,[],[f3701]) ).
fof(f4942,plain,
( spl53_496
| ~ spl53_48
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4861,f4061,f901,f4939]) ).
fof(f901,plain,
( spl53_48
<=> cons(hd(nil),nil) = app(nil,cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_48])]) ).
fof(f4861,plain,
( app(nil,cons(sK29,nil)) = cons(sK29,nil)
| ~ spl53_48
| ~ spl53_424 ),
inference(backward_demodulation,[],[f902,f4062]) ).
fof(f902,plain,
( cons(hd(nil),nil) = app(nil,cons(hd(nil),nil))
| ~ spl53_48 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f4937,plain,
( spl53_495
| ~ spl53_357
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4877,f4061,f3659,f4934]) ).
fof(f4934,plain,
( spl53_495
<=> nil = sK46(cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_495])]) ).
fof(f3659,plain,
( spl53_357
<=> nil = sK46(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_357])]) ).
fof(f4877,plain,
( nil = sK46(cons(sK29,nil))
| ~ spl53_357
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3660,f4062]) ).
fof(f3660,plain,
( nil = sK46(cons(hd(nil),nil))
| ~ spl53_357 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f4932,plain,
( spl53_494
| ~ spl53_349
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4875,f4061,f3615,f4929]) ).
fof(f4929,plain,
( spl53_494
<=> cons(sK1(cons(sK29,nil)),sK0(cons(sK29,nil))) = cons(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_494])]) ).
fof(f3615,plain,
( spl53_349
<=> cons(hd(nil),nil) = cons(sK1(cons(hd(nil),nil)),sK0(cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_349])]) ).
fof(f4875,plain,
( cons(sK1(cons(sK29,nil)),sK0(cons(sK29,nil))) = cons(sK29,nil)
| ~ spl53_349
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3616,f4062]) ).
fof(f3616,plain,
( cons(hd(nil),nil) = cons(sK1(cons(hd(nil),nil)),sK0(cons(hd(nil),nil)))
| ~ spl53_349 ),
inference(avatar_component_clause,[],[f3615]) ).
fof(f4927,plain,
( ~ spl53_493
| spl53_167
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4866,f4061,f2090,f4924]) ).
fof(f4924,plain,
( spl53_493
<=> leq(sK1(sK26),sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_493])]) ).
fof(f2090,plain,
( spl53_167
<=> leq(sK1(sK26),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_167])]) ).
fof(f4866,plain,
( ~ leq(sK1(sK26),sK29)
| spl53_167
| ~ spl53_424 ),
inference(backward_demodulation,[],[f2092,f4062]) ).
fof(f2092,plain,
( ~ leq(sK1(sK26),hd(nil))
| spl53_167 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f4922,plain,
( ~ spl53_492
| spl53_54
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4862,f4061,f997,f4919]) ).
fof(f4919,plain,
( spl53_492
<=> sK2(nil) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_492])]) ).
fof(f997,plain,
( spl53_54
<=> sK2(nil) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_54])]) ).
fof(f4862,plain,
( sK2(nil) != sK29
| spl53_54
| ~ spl53_424 ),
inference(backward_demodulation,[],[f999,f4062]) ).
fof(f999,plain,
( sK2(nil) != hd(nil)
| spl53_54 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f4917,plain,
( spl53_491
| ~ spl53_413
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4896,f4061,f3982,f4914]) ).
fof(f3982,plain,
( spl53_413
<=> cons(sK29,cons(hd(nil),nil)) = app(cons(sK29,nil),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_413])]) ).
fof(f4896,plain,
( cons(sK29,cons(sK29,nil)) = app(cons(sK29,nil),cons(sK29,nil))
| ~ spl53_413
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3983,f4062]) ).
fof(f3983,plain,
( cons(sK29,cons(hd(nil),nil)) = app(cons(sK29,nil),cons(hd(nil),nil))
| ~ spl53_413 ),
inference(avatar_component_clause,[],[f3982]) ).
fof(f4912,plain,
( spl53_490
| ~ spl53_410
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4894,f4061,f3962,f4909]) ).
fof(f3962,plain,
( spl53_410
<=> ssList(app(cons(hd(nil),nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_410])]) ).
fof(f4894,plain,
( ssList(app(cons(sK29,nil),cons(sK29,nil)))
| ~ spl53_410
| ~ spl53_424 ),
inference(backward_demodulation,[],[f3963,f4062]) ).
fof(f3963,plain,
( ssList(app(cons(hd(nil),nil),cons(hd(nil),nil)))
| ~ spl53_410 ),
inference(avatar_component_clause,[],[f3962]) ).
fof(f4907,plain,
( spl53_489
| ~ spl53_40
| ~ spl53_424 ),
inference(avatar_split_clause,[],[f4858,f4061,f836,f4904]) ).
fof(f836,plain,
( spl53_40
<=> ssList(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_40])]) ).
fof(f4858,plain,
( ssList(cons(sK29,nil))
| ~ spl53_40
| ~ spl53_424 ),
inference(backward_demodulation,[],[f837,f4062]) ).
fof(f837,plain,
( ssList(cons(hd(nil),nil))
| ~ spl53_40 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f4827,plain,
( spl53_169
| ~ spl53_33
| ~ spl53_37
| ~ spl53_112 ),
inference(avatar_split_clause,[],[f4826,f1698,f805,f772,f2113]) ).
fof(f772,plain,
( spl53_33
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_33])]) ).
fof(f1698,plain,
( spl53_112
<=> app(sK25,sK25) = cons(hd(app(sK25,sK25)),tl(app(sK25,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_112])]) ).
fof(f4826,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_33
| ~ spl53_37
| ~ spl53_112 ),
inference(forward_demodulation,[],[f4825,f774]) ).
fof(f774,plain,
( nil = app(nil,nil)
| ~ spl53_33 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f4825,plain,
( app(nil,nil) = cons(hd(app(nil,nil)),tl(app(nil,nil)))
| ~ spl53_37
| ~ spl53_112 ),
inference(forward_demodulation,[],[f1700,f807]) ).
fof(f1700,plain,
( app(sK25,sK25) = cons(hd(app(sK25,sK25)),tl(app(sK25,sK25)))
| ~ spl53_112 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f4823,plain,
( spl53_38
| ~ spl53_20
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f4822,f805,f695,f826]) ).
fof(f695,plain,
( spl53_20
<=> app(tl(sK25),cons(hd(sK25),nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_20])]) ).
fof(f4822,plain,
( app(tl(nil),cons(hd(nil),nil)) = sK26
| ~ spl53_20
| ~ spl53_37 ),
inference(forward_demodulation,[],[f696,f807]) ).
fof(f696,plain,
( app(tl(sK25),cons(hd(sK25),nil)) = sK26
| ~ spl53_20 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f4808,plain,
( spl53_41
| ~ spl53_22
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f4627,f805,f703,f841]) ).
fof(f703,plain,
( spl53_22
<=> ssList(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f4627,plain,
( ssList(tl(nil))
| ~ spl53_22
| ~ spl53_37 ),
inference(backward_demodulation,[],[f704,f807]) ).
fof(f704,plain,
( ssList(tl(sK25))
| ~ spl53_22 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f4807,plain,
( spl53_38
| ~ spl53_37
| ~ spl53_463 ),
inference(avatar_split_clause,[],[f4735,f4401,f805,f826]) ).
fof(f4401,plain,
( spl53_463
<=> sK26 = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_463])]) ).
fof(f4735,plain,
( app(tl(nil),cons(hd(nil),nil)) = sK26
| ~ spl53_37
| ~ spl53_463 ),
inference(backward_demodulation,[],[f4402,f807]) ).
fof(f4402,plain,
( sK26 = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_463 ),
inference(avatar_component_clause,[],[f4401]) ).
fof(f4802,plain,
( spl53_377
| ~ spl53_37
| ~ spl53_76 ),
inference(avatar_split_clause,[],[f4635,f1333,f805,f3771]) ).
fof(f3771,plain,
( spl53_377
<=> tl(tl(nil)) = sK46(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_377])]) ).
fof(f1333,plain,
( spl53_76
<=> sK46(tl(sK25)) = tl(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_76])]) ).
fof(f4635,plain,
( tl(tl(nil)) = sK46(tl(nil))
| ~ spl53_37
| ~ spl53_76 ),
inference(backward_demodulation,[],[f1335,f807]) ).
fof(f1335,plain,
( sK46(tl(sK25)) = tl(tl(sK25))
| ~ spl53_76 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f4800,plain,
( spl53_337
| ~ spl53_37
| ~ spl53_279 ),
inference(avatar_split_clause,[],[f4699,f2943,f805,f3551]) ).
fof(f2943,plain,
( spl53_279
<=> ssList(app(sK0(sK26),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_279])]) ).
fof(f4699,plain,
( ssList(app(sK0(sK26),tl(nil)))
| ~ spl53_37
| ~ spl53_279 ),
inference(backward_demodulation,[],[f2945,f807]) ).
fof(f2945,plain,
( ssList(app(sK0(sK26),tl(sK25)))
| ~ spl53_279 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f4791,plain,
( spl53_41
| ~ spl53_37
| ~ spl53_276
| ~ spl53_342 ),
inference(avatar_split_clause,[],[f4790,f3576,f2928,f805,f841]) ).
fof(f2928,plain,
( spl53_276
<=> ssList(app(sK25,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_276])]) ).
fof(f4790,plain,
( ssList(tl(nil))
| ~ spl53_37
| ~ spl53_276
| ~ spl53_342 ),
inference(forward_demodulation,[],[f4696,f3577]) ).
fof(f4696,plain,
( ssList(app(nil,tl(nil)))
| ~ spl53_37
| ~ spl53_276 ),
inference(backward_demodulation,[],[f2930,f807]) ).
fof(f2930,plain,
( ssList(app(sK25,tl(sK25)))
| ~ spl53_276 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f4788,plain,
( spl53_42
| ~ spl53_25
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f4628,f805,f722,f846]) ).
fof(f722,plain,
( spl53_25
<=> app(cons(sK29,nil),sK30) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_25])]) ).
fof(f4628,plain,
( nil = app(cons(sK29,nil),sK30)
| ~ spl53_25
| ~ spl53_37 ),
inference(backward_demodulation,[],[f724,f807]) ).
fof(f724,plain,
( app(cons(sK29,nil),sK30) = sK25
| ~ spl53_25 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f4787,plain,
( spl53_169
| ~ spl53_37
| ~ spl53_450 ),
inference(avatar_split_clause,[],[f4726,f4333,f805,f2113]) ).
fof(f4333,plain,
( spl53_450
<=> sK25 = cons(hd(nil),tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_450])]) ).
fof(f4726,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_37
| ~ spl53_450 ),
inference(backward_demodulation,[],[f4335,f807]) ).
fof(f4335,plain,
( sK25 = cons(hd(nil),tl(sK25))
| ~ spl53_450 ),
inference(avatar_component_clause,[],[f4333]) ).
fof(f4781,plain,
( spl53_399
| ~ spl53_37
| ~ spl53_80 ),
inference(avatar_split_clause,[],[f4639,f1352,f805,f3904]) ).
fof(f3904,plain,
( spl53_399
<=> tl(nil) = tl(cons(sK29,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_399])]) ).
fof(f1352,plain,
( spl53_80
<=> tl(sK25) = tl(cons(sK29,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_80])]) ).
fof(f4639,plain,
( tl(nil) = tl(cons(sK29,tl(nil)))
| ~ spl53_37
| ~ spl53_80 ),
inference(backward_demodulation,[],[f1354,f807]) ).
fof(f1354,plain,
( tl(sK25) = tl(cons(sK29,tl(sK25)))
| ~ spl53_80 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f4772,plain,
( ~ spl53_431
| ~ spl53_37
| spl53_174 ),
inference(avatar_split_clause,[],[f4674,f2165,f805,f4112]) ).
fof(f4112,plain,
( spl53_431
<=> ssList(sK0(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_431])]) ).
fof(f2165,plain,
( spl53_174
<=> ssList(sK0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_174])]) ).
fof(f4674,plain,
( ~ ssList(sK0(nil))
| ~ spl53_37
| spl53_174 ),
inference(backward_demodulation,[],[f2167,f807]) ).
fof(f2167,plain,
( ~ ssList(sK0(sK25))
| spl53_174 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f4769,plain,
( spl53_41
| ~ spl53_37
| ~ spl53_234
| ~ spl53_336 ),
inference(avatar_split_clause,[],[f4768,f3545,f2639,f805,f841]) ).
fof(f2639,plain,
( spl53_234
<=> ssList(app(tl(sK25),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_234])]) ).
fof(f4768,plain,
( ssList(tl(nil))
| ~ spl53_37
| ~ spl53_234
| ~ spl53_336 ),
inference(forward_demodulation,[],[f4689,f3546]) ).
fof(f4689,plain,
( ssList(app(tl(nil),nil))
| ~ spl53_37
| ~ spl53_234 ),
inference(backward_demodulation,[],[f2641,f807]) ).
fof(f2641,plain,
( ssList(app(tl(sK25),sK25))
| ~ spl53_234 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f4758,plain,
( spl53_392
| ~ spl53_37
| ~ spl53_447 ),
inference(avatar_split_clause,[],[f4725,f4318,f805,f3859]) ).
fof(f4318,plain,
( spl53_447
<=> ssList(app(cons(hd(nil),nil),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_447])]) ).
fof(f4725,plain,
( ssList(app(cons(hd(nil),nil),tl(nil)))
| ~ spl53_37
| ~ spl53_447 ),
inference(backward_demodulation,[],[f4320,f807]) ).
fof(f4320,plain,
( ssList(app(cons(hd(nil),nil),tl(sK25)))
| ~ spl53_447 ),
inference(avatar_component_clause,[],[f4318]) ).
fof(f4757,plain,
( ~ spl53_486
| ~ spl53_37
| ~ spl53_342
| spl53_480 ),
inference(avatar_split_clause,[],[f4756,f4502,f3576,f805,f4561]) ).
fof(f4502,plain,
( spl53_480
<=> hd(nil) = hd(app(sK25,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_480])]) ).
fof(f4756,plain,
( hd(tl(nil)) != hd(nil)
| ~ spl53_37
| ~ spl53_342
| spl53_480 ),
inference(forward_demodulation,[],[f4741,f3577]) ).
fof(f4741,plain,
( hd(nil) != hd(app(nil,tl(nil)))
| ~ spl53_37
| spl53_480 ),
inference(backward_demodulation,[],[f4503,f807]) ).
fof(f4503,plain,
( hd(nil) != hd(app(sK25,tl(sK25)))
| spl53_480 ),
inference(avatar_component_clause,[],[f4502]) ).
fof(f4750,plain,
( spl53_424
| ~ spl53_37
| ~ spl53_65
| ~ spl53_138
| ~ spl53_446 ),
inference(avatar_split_clause,[],[f4749,f4313,f1907,f1147,f805,f4061]) ).
fof(f1147,plain,
( spl53_65
<=> sK29 = hd(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_65])]) ).
fof(f1907,plain,
( spl53_138
<=> app(nil,cons(sK29,sK26)) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_138])]) ).
fof(f4313,plain,
( spl53_446
<=> hd(app(sK25,cons(sK29,sK26))) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_446])]) ).
fof(f4749,plain,
( hd(nil) = sK29
| ~ spl53_37
| ~ spl53_65
| ~ spl53_138
| ~ spl53_446 ),
inference(forward_demodulation,[],[f4748,f1149]) ).
fof(f1149,plain,
( sK29 = hd(cons(sK29,sK26))
| ~ spl53_65 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f4748,plain,
( hd(nil) = hd(cons(sK29,sK26))
| ~ spl53_37
| ~ spl53_138
| ~ spl53_446 ),
inference(forward_demodulation,[],[f4724,f1909]) ).
fof(f1909,plain,
( app(nil,cons(sK29,sK26)) = cons(sK29,sK26)
| ~ spl53_138 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f4724,plain,
( hd(app(nil,cons(sK29,sK26))) = hd(nil)
| ~ spl53_37
| ~ spl53_446 ),
inference(backward_demodulation,[],[f4315,f807]) ).
fof(f4315,plain,
( hd(app(sK25,cons(sK29,sK26))) = hd(nil)
| ~ spl53_446 ),
inference(avatar_component_clause,[],[f4313]) ).
fof(f4745,plain,
( spl53_419
| ~ spl53_37
| ~ spl53_273 ),
inference(avatar_split_clause,[],[f4695,f2912,f805,f4019]) ).
fof(f2912,plain,
( spl53_273
<=> ssList(app(cons(sK29,sK26),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_273])]) ).
fof(f4695,plain,
( ssList(app(cons(sK29,sK26),tl(nil)))
| ~ spl53_37
| ~ spl53_273 ),
inference(backward_demodulation,[],[f2914,f807]) ).
fof(f2914,plain,
( ssList(app(cons(sK29,sK26),tl(sK25)))
| ~ spl53_273 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f4621,plain,
( spl53_169
| ~ spl53_104
| ~ spl53_112
| ~ spl53_199
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4620,f3346,f2329,f1698,f1660,f2113]) ).
fof(f1660,plain,
( spl53_104
<=> nil = app(sK25,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_104])]) ).
fof(f2329,plain,
( spl53_199
<=> hd(app(sK25,sK25)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_199])]) ).
fof(f3346,plain,
( spl53_329
<=> hd(nil) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_329])]) ).
fof(f4620,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_104
| ~ spl53_112
| ~ spl53_199
| ~ spl53_329 ),
inference(forward_demodulation,[],[f4619,f3348]) ).
fof(f3348,plain,
( hd(nil) = hd(sK25)
| ~ spl53_329 ),
inference(avatar_component_clause,[],[f3346]) ).
fof(f4619,plain,
( nil = cons(hd(sK25),tl(nil))
| ~ spl53_104
| ~ spl53_112
| ~ spl53_199 ),
inference(forward_demodulation,[],[f2334,f1662]) ).
fof(f1662,plain,
( nil = app(sK25,sK25)
| ~ spl53_104 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f2334,plain,
( cons(hd(sK25),tl(app(sK25,sK25))) = app(sK25,sK25)
| ~ spl53_112
| ~ spl53_199 ),
inference(backward_demodulation,[],[f1700,f2331]) ).
fof(f2331,plain,
( hd(app(sK25,sK25)) = hd(sK25)
| ~ spl53_199 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f4613,plain,
( ~ spl53_486
| ~ spl53_37
| spl53_232
| ~ spl53_342 ),
inference(avatar_split_clause,[],[f4612,f3576,f2629,f805,f4561]) ).
fof(f4612,plain,
( hd(tl(nil)) != hd(nil)
| ~ spl53_37
| spl53_232
| ~ spl53_342 ),
inference(forward_demodulation,[],[f3457,f3577]) ).
fof(f3457,plain,
( hd(nil) != hd(app(nil,tl(nil)))
| ~ spl53_37
| spl53_232 ),
inference(backward_demodulation,[],[f2630,f807]) ).
fof(f4611,plain,
( spl53_37
| ~ spl53_36
| ~ spl53_96 ),
inference(avatar_split_clause,[],[f4610,f1525,f791,f805]) ).
fof(f791,plain,
( spl53_36
<=> sK25 = app(nil,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_36])]) ).
fof(f1525,plain,
( spl53_96
<=> nil = app(nil,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_96])]) ).
fof(f4610,plain,
( nil = sK25
| ~ spl53_36
| ~ spl53_96 ),
inference(backward_demodulation,[],[f793,f1526]) ).
fof(f1526,plain,
( nil = app(nil,sK25)
| ~ spl53_96 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f793,plain,
( sK25 = app(nil,sK25)
| ~ spl53_36 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f4599,plain,
( spl53_169
| ~ spl53_329
| ~ spl53_331 ),
inference(avatar_split_clause,[],[f4598,f3361,f3346,f2113]) ).
fof(f3361,plain,
( spl53_331
<=> nil = cons(hd(sK25),tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_331])]) ).
fof(f4598,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_329
| ~ spl53_331 ),
inference(forward_demodulation,[],[f3362,f3348]) ).
fof(f3362,plain,
( nil = cons(hd(sK25),tl(nil))
| ~ spl53_331 ),
inference(avatar_component_clause,[],[f3361]) ).
fof(f4596,plain,
( ~ spl53_466
| spl53_197
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4595,f3346,f2319,f4416]) ).
fof(f4416,plain,
( spl53_466
<=> hd(nil) = hd(app(sK25,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_466])]) ).
fof(f2319,plain,
( spl53_197
<=> hd(app(sK25,sK26)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_197])]) ).
fof(f4595,plain,
( hd(nil) != hd(app(sK25,sK26))
| spl53_197
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2320,f3348]) ).
fof(f2320,plain,
( hd(app(sK25,sK26)) != hd(sK25)
| spl53_197 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f4594,plain,
( spl53_488
| ~ spl53_60
| ~ spl53_436 ),
inference(avatar_split_clause,[],[f4587,f4180,f1102,f4591]) ).
fof(f1102,plain,
( spl53_60
<=> tl(cons(sK29,sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_60])]) ).
fof(f4180,plain,
( spl53_436
<=> nil = cons(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_436])]) ).
fof(f4587,plain,
( tl(nil) = sK30
| ~ spl53_60
| ~ spl53_436 ),
inference(backward_demodulation,[],[f1104,f4182]) ).
fof(f4182,plain,
( nil = cons(sK29,sK30)
| ~ spl53_436 ),
inference(avatar_component_clause,[],[f4180]) ).
fof(f1104,plain,
( tl(cons(sK29,sK30)) = sK30
| ~ spl53_60 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f4589,plain,
( spl53_424
| ~ spl53_64
| ~ spl53_436 ),
inference(avatar_split_clause,[],[f4588,f4180,f1141,f4061]) ).
fof(f1141,plain,
( spl53_64
<=> sK29 = hd(cons(sK29,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_64])]) ).
fof(f4588,plain,
( hd(nil) = sK29
| ~ spl53_64
| ~ spl53_436 ),
inference(backward_demodulation,[],[f1143,f4182]) ).
fof(f1143,plain,
( sK29 = hd(cons(sK29,sK30))
| ~ spl53_64 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f4585,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f880,f846,f722,f805]) ).
fof(f880,plain,
( nil = sK25
| ~ spl53_25
| ~ spl53_42 ),
inference(backward_demodulation,[],[f724,f848]) ).
fof(f4584,plain,
( spl53_436
| ~ spl53_11
| ~ spl53_13
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f4178,f846,f662,f651,f4180]) ).
fof(f651,plain,
( spl53_11
<=> ssItem(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f4178,plain,
( nil = cons(sK29,sK30)
| ~ spl53_11
| ~ spl53_13
| ~ spl53_42 ),
inference(forward_demodulation,[],[f4176,f848]) ).
fof(f4176,plain,
( app(cons(sK29,nil),sK30) = cons(sK29,sK30)
| ~ spl53_11
| ~ spl53_13 ),
inference(resolution,[],[f664,f1553]) ).
fof(f1553,plain,
( ! [X7] :
( ~ ssList(X7)
| cons(sK29,X7) = app(cons(sK29,nil),X7) )
| ~ spl53_11 ),
inference(resolution,[],[f508,f653]) ).
fof(f653,plain,
( ssItem(sK29)
| ~ spl53_11 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f508,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f664,plain,
( ssList(sK30)
| ~ spl53_13 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f4582,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f1039,f846,f722,f805]) ).
fof(f1039,plain,
( nil = sK25
| ~ spl53_25
| ~ spl53_42 ),
inference(backward_demodulation,[],[f724,f848]) ).
fof(f4581,plain,
( ~ spl53_452
| spl53_268
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4580,f3346,f2869,f4343]) ).
fof(f4343,plain,
( spl53_452
<=> hd(app(sK25,tl(sK26))) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_452])]) ).
fof(f2869,plain,
( spl53_268
<=> hd(app(sK25,tl(sK26))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_268])]) ).
fof(f4580,plain,
( hd(app(sK25,tl(sK26))) != hd(nil)
| spl53_268
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2870,f3348]) ).
fof(f2870,plain,
( hd(app(sK25,tl(sK26))) != hd(sK25)
| spl53_268 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f4579,plain,
( ~ spl53_487
| spl53_366
| ~ spl53_400 ),
inference(avatar_split_clause,[],[f4574,f3909,f3709,f4576]) ).
fof(f3709,plain,
( spl53_366
<=> hd(nil) = hd(app(nil,app(tl(nil),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_366])]) ).
fof(f3909,plain,
( spl53_400
<=> app(tl(nil),cons(hd(nil),nil)) = app(nil,app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_400])]) ).
fof(f4574,plain,
( hd(nil) != hd(app(tl(nil),cons(hd(nil),nil)))
| spl53_366
| ~ spl53_400 ),
inference(backward_demodulation,[],[f3711,f3910]) ).
fof(f3910,plain,
( app(tl(nil),cons(hd(nil),nil)) = app(nil,app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_400 ),
inference(avatar_component_clause,[],[f3909]) ).
fof(f3711,plain,
( hd(nil) != hd(app(nil,app(tl(nil),cons(hd(nil),nil))))
| spl53_366 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f4573,plain,
( spl53_169
| ~ spl53_104
| ~ spl53_200
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4572,f3346,f2337,f1660,f2113]) ).
fof(f2337,plain,
( spl53_200
<=> cons(hd(sK25),tl(app(sK25,sK25))) = app(sK25,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_200])]) ).
fof(f4572,plain,
( nil = cons(hd(nil),tl(nil))
| ~ spl53_104
| ~ spl53_200
| ~ spl53_329 ),
inference(forward_demodulation,[],[f4571,f3348]) ).
fof(f4571,plain,
( nil = cons(hd(sK25),tl(nil))
| ~ spl53_104
| ~ spl53_200 ),
inference(forward_demodulation,[],[f2339,f1662]) ).
fof(f2339,plain,
( cons(hd(sK25),tl(app(sK25,sK25))) = app(sK25,sK25)
| ~ spl53_200 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f4570,plain,
( spl53_340
| ~ spl53_37
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3459,f2644,f805,f3566]) ).
fof(f3566,plain,
( spl53_340
<=> cons(hd(tl(nil)),tl(tl(nil))) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_340])]) ).
fof(f2644,plain,
( spl53_235
<=> tl(sK25) = cons(hd(tl(sK25)),tl(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_235])]) ).
fof(f3459,plain,
( cons(hd(tl(nil)),tl(tl(nil))) = tl(nil)
| ~ spl53_37
| ~ spl53_235 ),
inference(backward_demodulation,[],[f2646,f807]) ).
fof(f2646,plain,
( tl(sK25) = cons(hd(tl(sK25)),tl(tl(sK25)))
| ~ spl53_235 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f4568,plain,
( spl53_377
| ~ spl53_37
| ~ spl53_76 ),
inference(avatar_split_clause,[],[f3385,f1333,f805,f3771]) ).
fof(f3385,plain,
( tl(tl(nil)) = sK46(tl(nil))
| ~ spl53_37
| ~ spl53_76 ),
inference(backward_demodulation,[],[f1335,f807]) ).
fof(f4566,plain,
( spl53_42
| ~ spl53_25
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f821,f805,f722,f846]) ).
fof(f821,plain,
( nil = app(cons(sK29,nil),sK30)
| ~ spl53_25
| ~ spl53_37 ),
inference(backward_demodulation,[],[f724,f807]) ).
fof(f4565,plain,
( spl53_41
| ~ spl53_342
| ~ spl53_368 ),
inference(avatar_split_clause,[],[f4558,f3719,f3576,f841]) ).
fof(f3719,plain,
( spl53_368
<=> ssList(app(nil,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_368])]) ).
fof(f4558,plain,
( ssList(tl(nil))
| ~ spl53_342
| ~ spl53_368 ),
inference(backward_demodulation,[],[f3720,f3577]) ).
fof(f3720,plain,
( ssList(app(nil,tl(nil)))
| ~ spl53_368 ),
inference(avatar_component_clause,[],[f3719]) ).
fof(f4564,plain,
( ~ spl53_486
| ~ spl53_342
| spl53_406 ),
inference(avatar_split_clause,[],[f4559,f3942,f3576,f4561]) ).
fof(f3942,plain,
( spl53_406
<=> hd(nil) = hd(app(nil,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_406])]) ).
fof(f4559,plain,
( hd(tl(nil)) != hd(nil)
| ~ spl53_342
| spl53_406 ),
inference(backward_demodulation,[],[f3944,f3577]) ).
fof(f3944,plain,
( hd(nil) != hd(app(nil,tl(nil)))
| spl53_406 ),
inference(avatar_component_clause,[],[f3942]) ).
fof(f4553,plain,
( spl53_454
| ~ spl53_283
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4552,f3346,f2981,f4355]) ).
fof(f4355,plain,
( spl53_454
<=> leq(hd(nil),hd(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_454])]) ).
fof(f4552,plain,
( leq(hd(nil),hd(tl(sK25)))
| ~ spl53_283
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2983,f3348]) ).
fof(f4550,plain,
( spl53_391
| ~ spl53_37
| ~ spl53_295 ),
inference(avatar_split_clause,[],[f3498,f3093,f805,f3852]) ).
fof(f3093,plain,
( spl53_295
<=> ssItem(sK1(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_295])]) ).
fof(f3498,plain,
( ssItem(sK1(tl(nil)))
| ~ spl53_37
| ~ spl53_295 ),
inference(backward_demodulation,[],[f3094,f807]) ).
fof(f3094,plain,
( ssItem(sK1(tl(sK25)))
| ~ spl53_295 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f4549,plain,
( spl53_485
| ~ spl53_244
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4544,f3346,f2732,f4546]) ).
fof(f4546,plain,
( spl53_485
<=> hd(app(sK25,app(tl(sK25),cons(hd(nil),nil)))) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_485])]) ).
fof(f4544,plain,
( hd(app(sK25,app(tl(sK25),cons(hd(nil),nil)))) = hd(nil)
| ~ spl53_244
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2734,f3348]) ).
fof(f2734,plain,
( hd(app(sK25,app(tl(sK25),cons(hd(sK25),nil)))) = hd(sK25)
| ~ spl53_244 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f4539,plain,
( spl53_484
| ~ spl53_256
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4534,f3346,f2791,f4536]) ).
fof(f4536,plain,
( spl53_484
<=> hd(sK26) = hd(app(sK26,app(tl(sK25),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_484])]) ).
fof(f4534,plain,
( hd(sK26) = hd(app(sK26,app(tl(sK25),cons(hd(nil),nil))))
| ~ spl53_256
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2793,f3348]) ).
fof(f4526,plain,
( ~ spl53_483
| spl53_224
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4521,f3346,f2565,f4523]) ).
fof(f4523,plain,
( spl53_483
<=> cons(hd(nil),sK26) = app(sK25,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_483])]) ).
fof(f2565,plain,
( spl53_224
<=> app(sK25,sK26) = cons(hd(sK25),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_224])]) ).
fof(f4521,plain,
( cons(hd(nil),sK26) != app(sK25,sK26)
| spl53_224
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2566,f3348]) ).
fof(f2566,plain,
( app(sK25,sK26) != cons(hd(sK25),sK26)
| spl53_224 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f4519,plain,
( spl53_482
| ~ spl53_255
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4514,f3346,f2786,f4516]) ).
fof(f4516,plain,
( spl53_482
<=> tl(cons(hd(nil),app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_482])]) ).
fof(f2786,plain,
( spl53_255
<=> tl(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_255])]) ).
fof(f4514,plain,
( tl(cons(hd(nil),app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_255
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2788,f3348]) ).
fof(f2788,plain,
( tl(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_255 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f4513,plain,
( ~ spl53_481
| spl53_222
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4508,f3346,f2554,f4510]) ).
fof(f4510,plain,
( spl53_481
<=> cons(hd(nil),sK0(sK26)) = app(sK25,sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_481])]) ).
fof(f2554,plain,
( spl53_222
<=> app(sK25,sK0(sK26)) = cons(hd(sK25),sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_222])]) ).
fof(f4508,plain,
( cons(hd(nil),sK0(sK26)) != app(sK25,sK0(sK26))
| spl53_222
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2555,f3348]) ).
fof(f2555,plain,
( app(sK25,sK0(sK26)) != cons(hd(sK25),sK0(sK26))
| spl53_222 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f4505,plain,
( spl53_480
| ~ spl53_232
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4500,f3346,f2629,f4502]) ).
fof(f4500,plain,
( hd(nil) = hd(app(sK25,tl(sK25)))
| ~ spl53_232
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2631,f3348]) ).
fof(f2631,plain,
( hd(sK25) = hd(app(sK25,tl(sK25)))
| ~ spl53_232 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f4498,plain,
( spl53_479
| ~ spl53_285
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4493,f3346,f3009,f4495]) ).
fof(f4495,plain,
( spl53_479
<=> ssList(app(sK25,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_479])]) ).
fof(f3009,plain,
( spl53_285
<=> ssList(app(sK25,cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_285])]) ).
fof(f4493,plain,
( ssList(app(sK25,cons(hd(nil),nil)))
| ~ spl53_285
| ~ spl53_329 ),
inference(forward_demodulation,[],[f3011,f3348]) ).
fof(f3011,plain,
( ssList(app(sK25,cons(hd(sK25),nil)))
| ~ spl53_285 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f4492,plain,
( spl53_478
| ~ spl53_315
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4487,f3346,f3229,f4489]) ).
fof(f4489,plain,
( spl53_478
<=> app(cons(sK29,nil),app(tl(sK25),cons(hd(nil),nil))) = cons(sK29,app(tl(sK25),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_478])]) ).
fof(f3229,plain,
( spl53_315
<=> app(cons(sK29,nil),app(tl(sK25),cons(hd(sK25),nil))) = cons(sK29,app(tl(sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_315])]) ).
fof(f4487,plain,
( app(cons(sK29,nil),app(tl(sK25),cons(hd(nil),nil))) = cons(sK29,app(tl(sK25),cons(hd(nil),nil)))
| ~ spl53_315
| ~ spl53_329 ),
inference(forward_demodulation,[],[f3231,f3348]) ).
fof(f3231,plain,
( app(cons(sK29,nil),app(tl(sK25),cons(hd(sK25),nil))) = cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_315 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f4484,plain,
( spl53_477
| ~ spl53_248
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4479,f3346,f2752,f4481]) ).
fof(f4481,plain,
( spl53_477
<=> tl(cons(sK29,app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_477])]) ).
fof(f2752,plain,
( spl53_248
<=> tl(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_248])]) ).
fof(f4479,plain,
( tl(cons(sK29,app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_248
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2754,f3348]) ).
fof(f2754,plain,
( tl(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_248 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f4477,plain,
( spl53_451
| ~ spl53_98
| ~ spl53_101
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4476,f3346,f1615,f1568,f4338]) ).
fof(f4338,plain,
( spl53_451
<=> hd(nil) = hd(app(sK25,app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_451])]) ).
fof(f1568,plain,
( spl53_98
<=> ! [X8] :
( ~ ssList(X8)
| hd(app(sK25,X8)) = hd(sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_98])]) ).
fof(f1615,plain,
( spl53_101
<=> ssList(app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_101])]) ).
fof(f4476,plain,
( hd(nil) = hd(app(sK25,app(sK26,sK25)))
| ~ spl53_98
| ~ spl53_101
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2299,f3348]) ).
fof(f2299,plain,
( hd(app(sK25,app(sK26,sK25))) = hd(sK25)
| ~ spl53_98
| ~ spl53_101 ),
inference(resolution,[],[f1569,f1617]) ).
fof(f1617,plain,
( ssList(app(sK26,sK25))
| ~ spl53_101 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1569,plain,
( ! [X8] :
( ~ ssList(X8)
| hd(app(sK25,X8)) = hd(sK25) )
| ~ spl53_98 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f4473,plain,
( ~ spl53_174
| ~ spl53_37
| ~ spl53_171
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2149,f1484,f2153,f805,f2165]) ).
fof(f2153,plain,
( spl53_171
<=> ssItem(sK1(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_171])]) ).
fof(f1484,plain,
( spl53_93
<=> cons(sK1(sK25),sK0(sK25)) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_93])]) ).
fof(f2149,plain,
( ~ ssItem(sK1(sK25))
| nil != sK25
| ~ ssList(sK0(sK25))
| ~ spl53_93 ),
inference(superposition,[],[f519,f1486]) ).
fof(f1486,plain,
( cons(sK1(sK25),sK0(sK25)) = sK25
| ~ spl53_93 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f519,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f4472,plain,
( spl53_476
| ~ spl53_293
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4467,f3346,f3072,f4469]) ).
fof(f4469,plain,
( spl53_476
<=> ssList(app(app(tl(sK25),cons(hd(nil),nil)),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_476])]) ).
fof(f3072,plain,
( spl53_293
<=> ssList(app(app(tl(sK25),cons(hd(sK25),nil)),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_293])]) ).
fof(f4467,plain,
( ssList(app(app(tl(sK25),cons(hd(nil),nil)),tl(sK25)))
| ~ spl53_293
| ~ spl53_329 ),
inference(forward_demodulation,[],[f3074,f3348]) ).
fof(f3074,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),tl(sK25)))
| ~ spl53_293 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f4466,plain,
( spl53_475
| ~ spl53_216
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4461,f3346,f2491,f4463]) ).
fof(f4463,plain,
( spl53_475
<=> hd(nil) = hd(cons(hd(nil),app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_475])]) ).
fof(f2491,plain,
( spl53_216
<=> hd(cons(hd(sK25),app(sK26,sK25))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_216])]) ).
fof(f4461,plain,
( hd(nil) = hd(cons(hd(nil),app(sK26,sK25)))
| ~ spl53_216
| ~ spl53_329 ),
inference(forward_demodulation,[],[f2493,f3348]) ).
fof(f2493,plain,
( hd(cons(hd(sK25),app(sK26,sK25))) = hd(sK25)
| ~ spl53_216 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f4460,plain,
( spl53_474
| ~ spl53_253
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4280,f3346,f2776,f4457]) ).
fof(f4457,plain,
( spl53_474
<=> hd(app(tl(sK25),cons(hd(nil),nil))) = sK2(app(tl(sK25),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_474])]) ).
fof(f2776,plain,
( spl53_253
<=> sK2(app(tl(sK25),cons(hd(sK25),nil))) = hd(app(tl(sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_253])]) ).
fof(f4280,plain,
( hd(app(tl(sK25),cons(hd(nil),nil))) = sK2(app(tl(sK25),cons(hd(nil),nil)))
| ~ spl53_253
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2778,f3348]) ).
fof(f2778,plain,
( sK2(app(tl(sK25),cons(hd(sK25),nil))) = hd(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_253 ),
inference(avatar_component_clause,[],[f2776]) ).
fof(f4455,plain,
( spl53_473
| ~ spl53_18
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4239,f3346,f687,f4452]) ).
fof(f4452,plain,
( spl53_473
<=> ssList(app(tl(sK25),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_473])]) ).
fof(f687,plain,
( spl53_18
<=> ssList(app(tl(sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_18])]) ).
fof(f4239,plain,
( ssList(app(tl(sK25),cons(hd(nil),nil)))
| ~ spl53_18
| ~ spl53_329 ),
inference(backward_demodulation,[],[f688,f3348]) ).
fof(f688,plain,
( ssList(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_18 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f4450,plain,
( ~ spl53_472
| spl53_56
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4244,f3346,f1020,f4447]) ).
fof(f4447,plain,
( spl53_472
<=> nil = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_472])]) ).
fof(f1020,plain,
( spl53_56
<=> nil = app(tl(sK25),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_56])]) ).
fof(f4244,plain,
( nil != app(tl(sK25),cons(hd(nil),nil))
| spl53_56
| ~ spl53_329 ),
inference(backward_demodulation,[],[f1022,f3348]) ).
fof(f1022,plain,
( nil != app(tl(sK25),cons(hd(sK25),nil))
| spl53_56 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f4445,plain,
( ~ spl53_471
| spl53_95
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4249,f3346,f1508,f4442]) ).
fof(f4442,plain,
( spl53_471
<=> cons(hd(nil),nil) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_471])]) ).
fof(f1508,plain,
( spl53_95
<=> sK25 = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_95])]) ).
fof(f4249,plain,
( cons(hd(nil),nil) != sK25
| spl53_95
| ~ spl53_329 ),
inference(backward_demodulation,[],[f1509,f3348]) ).
fof(f1509,plain,
( sK25 != cons(hd(sK25),nil)
| spl53_95 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f4440,plain,
( spl53_470
| ~ spl53_286
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4288,f3346,f3015,f4437]) ).
fof(f4437,plain,
( spl53_470
<=> ssList(app(app(sK26,sK25),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_470])]) ).
fof(f3015,plain,
( spl53_286
<=> ssList(app(app(sK26,sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_286])]) ).
fof(f4288,plain,
( ssList(app(app(sK26,sK25),cons(hd(nil),nil)))
| ~ spl53_286
| ~ spl53_329 ),
inference(backward_demodulation,[],[f3017,f3348]) ).
fof(f3017,plain,
( ssList(app(app(sK26,sK25),cons(hd(sK25),nil)))
| ~ spl53_286 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f4435,plain,
( spl53_357
| ~ spl53_230
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4268,f3346,f2599,f3659]) ).
fof(f2599,plain,
( spl53_230
<=> nil = sK46(cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_230])]) ).
fof(f4268,plain,
( nil = sK46(cons(hd(nil),nil))
| ~ spl53_230
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2601,f3348]) ).
fof(f2601,plain,
( nil = sK46(cons(hd(sK25),nil))
| ~ spl53_230 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f4434,plain,
( spl53_469
| ~ spl53_257
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4282,f3346,f2796,f4431]) ).
fof(f4431,plain,
( spl53_469
<=> app(app(tl(sK25),cons(hd(nil),nil)),nil) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_469])]) ).
fof(f2796,plain,
( spl53_257
<=> app(tl(sK25),cons(hd(sK25),nil)) = app(app(tl(sK25),cons(hd(sK25),nil)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_257])]) ).
fof(f4282,plain,
( app(app(tl(sK25),cons(hd(nil),nil)),nil) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_257
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2798,f3348]) ).
fof(f2798,plain,
( app(tl(sK25),cons(hd(sK25),nil)) = app(app(tl(sK25),cons(hd(sK25),nil)),nil)
| ~ spl53_257 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f4429,plain,
( spl53_468
| ~ spl53_250
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4277,f3346,f2761,f4426]) ).
fof(f4426,plain,
( spl53_468
<=> cons(hd(app(tl(sK25),cons(hd(nil),nil))),tl(app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_468])]) ).
fof(f2761,plain,
( spl53_250
<=> cons(hd(app(tl(sK25),cons(hd(sK25),nil))),tl(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_250])]) ).
fof(f4277,plain,
( cons(hd(app(tl(sK25),cons(hd(nil),nil))),tl(app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_250
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2763,f3348]) ).
fof(f2763,plain,
( cons(hd(app(tl(sK25),cons(hd(sK25),nil))),tl(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_250 ),
inference(avatar_component_clause,[],[f2761]) ).
fof(f4424,plain,
( spl53_467
| ~ spl53_194
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4254,f3346,f2292,f4421]) ).
fof(f4421,plain,
( spl53_467
<=> tl(cons(hd(nil),app(sK26,sK25))) = app(sK26,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_467])]) ).
fof(f2292,plain,
( spl53_194
<=> app(sK26,sK25) = tl(cons(hd(sK25),app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_194])]) ).
fof(f4254,plain,
( tl(cons(hd(nil),app(sK26,sK25))) = app(sK26,sK25)
| ~ spl53_194
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2294,f3348]) ).
fof(f2294,plain,
( app(sK26,sK25) = tl(cons(hd(sK25),app(sK26,sK25)))
| ~ spl53_194 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f4419,plain,
( spl53_466
| ~ spl53_197
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4256,f3346,f2319,f4416]) ).
fof(f4256,plain,
( hd(nil) = hd(app(sK25,sK26))
| ~ spl53_197
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2321,f3348]) ).
fof(f2321,plain,
( hd(app(sK25,sK26)) = hd(sK25)
| ~ spl53_197 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f4414,plain,
( spl53_465
| ~ spl53_218
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4261,f3346,f2521,f4411]) ).
fof(f4411,plain,
( spl53_465
<=> hd(nil) = hd(app(sK25,sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_465])]) ).
fof(f4261,plain,
( hd(nil) = hd(app(sK25,sK0(sK26)))
| ~ spl53_218
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2523,f3348]) ).
fof(f2523,plain,
( hd(sK25) = hd(app(sK25,sK0(sK26)))
| ~ spl53_218 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f4409,plain,
( spl53_464
| ~ spl53_238
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4270,f3346,f2678,f4406]) ).
fof(f2678,plain,
( spl53_238
<=> ssList(app(cons(hd(sK25),nil),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_238])]) ).
fof(f4270,plain,
( ssList(app(cons(hd(nil),nil),sK25))
| ~ spl53_238
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2680,f3348]) ).
fof(f2680,plain,
( ssList(app(cons(hd(sK25),nil),sK25))
| ~ spl53_238 ),
inference(avatar_component_clause,[],[f2678]) ).
fof(f4404,plain,
( ~ spl53_463
| spl53_20
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4240,f3346,f695,f4401]) ).
fof(f4240,plain,
( sK26 != app(tl(sK25),cons(hd(nil),nil))
| spl53_20
| ~ spl53_329 ),
inference(backward_demodulation,[],[f697,f3348]) ).
fof(f697,plain,
( app(tl(sK25),cons(hd(sK25),nil)) != sK26
| spl53_20 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f4399,plain,
( spl53_462
| ~ spl53_214
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4260,f3346,f2481,f4396]) ).
fof(f4396,plain,
( spl53_462
<=> hd(nil) = hd(cons(hd(nil),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_462])]) ).
fof(f2481,plain,
( spl53_214
<=> hd(sK25) = hd(cons(hd(sK25),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_214])]) ).
fof(f4260,plain,
( hd(nil) = hd(cons(hd(nil),sK25))
| ~ spl53_214
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2483,f3348]) ).
fof(f2483,plain,
( hd(sK25) = hd(cons(hd(sK25),sK25))
| ~ spl53_214 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f4394,plain,
( spl53_349
| ~ spl53_241
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4271,f3346,f2693,f3615]) ).
fof(f2693,plain,
( spl53_241
<=> cons(sK1(cons(hd(sK25),nil)),sK0(cons(hd(sK25),nil))) = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_241])]) ).
fof(f4271,plain,
( cons(hd(nil),nil) = cons(sK1(cons(hd(nil),nil)),sK0(cons(hd(nil),nil)))
| ~ spl53_241
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2695,f3348]) ).
fof(f2695,plain,
( cons(sK1(cons(hd(sK25),nil)),sK0(cons(hd(sK25),nil))) = cons(hd(sK25),nil)
| ~ spl53_241 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f4393,plain,
( spl53_461
| ~ spl53_242
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4272,f3346,f2699,f4390]) ).
fof(f4390,plain,
( spl53_461
<=> hd(nil) = hd(app(sK25,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_461])]) ).
fof(f2699,plain,
( spl53_242
<=> hd(sK25) = hd(app(sK25,cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_242])]) ).
fof(f4272,plain,
( hd(nil) = hd(app(sK25,cons(hd(nil),nil)))
| ~ spl53_242
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2701,f3348]) ).
fof(f2701,plain,
( hd(sK25) = hd(app(sK25,cons(hd(sK25),nil)))
| ~ spl53_242 ),
inference(avatar_component_clause,[],[f2699]) ).
fof(f4388,plain,
( ~ spl53_460
| spl53_225
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4264,f3346,f2570,f4385]) ).
fof(f4385,plain,
( spl53_460
<=> cons(hd(nil),app(sK26,sK25)) = app(sK25,app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_460])]) ).
fof(f2570,plain,
( spl53_225
<=> cons(hd(sK25),app(sK26,sK25)) = app(sK25,app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_225])]) ).
fof(f4264,plain,
( cons(hd(nil),app(sK26,sK25)) != app(sK25,app(sK26,sK25))
| spl53_225
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2571,f3348]) ).
fof(f2571,plain,
( cons(hd(sK25),app(sK26,sK25)) != app(sK25,app(sK26,sK25))
| spl53_225 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f4383,plain,
( ~ spl53_459
| spl53_327
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4295,f3346,f3330,f4380]) ).
fof(f4380,plain,
( spl53_459
<=> nil = cons(hd(nil),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_459])]) ).
fof(f3330,plain,
( spl53_327
<=> nil = cons(hd(sK25),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_327])]) ).
fof(f4295,plain,
( nil != cons(hd(nil),sK25)
| spl53_327
| ~ spl53_329 ),
inference(backward_demodulation,[],[f3332,f3348]) ).
fof(f3332,plain,
( nil != cons(hd(sK25),sK25)
| spl53_327 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f4378,plain,
( spl53_458
| ~ spl53_246
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4274,f3346,f2742,f4375]) ).
fof(f2742,plain,
( spl53_246
<=> app(tl(sK25),cons(hd(sK25),nil)) = app(nil,app(tl(sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_246])]) ).
fof(f4274,plain,
( app(nil,app(tl(sK25),cons(hd(nil),nil))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_246
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2744,f3348]) ).
fof(f2744,plain,
( app(tl(sK25),cons(hd(sK25),nil)) = app(nil,app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_246 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f4373,plain,
( spl53_457
| ~ spl53_245
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4273,f3346,f2737,f4370]) ).
fof(f2737,plain,
( spl53_245
<=> cons(sK1(app(tl(sK25),cons(hd(sK25),nil))),sK0(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_245])]) ).
fof(f4273,plain,
( cons(sK1(app(tl(sK25),cons(hd(nil),nil))),sK0(app(tl(sK25),cons(hd(nil),nil)))) = app(tl(sK25),cons(hd(nil),nil))
| ~ spl53_245
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2739,f3348]) ).
fof(f2739,plain,
( cons(sK1(app(tl(sK25),cons(hd(sK25),nil))),sK0(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_245 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f4368,plain,
( spl53_456
| ~ spl53_251
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4278,f3346,f2766,f4365]) ).
fof(f4365,plain,
( spl53_456
<=> hd(cons(sK29,app(tl(sK25),cons(hd(nil),nil)))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_456])]) ).
fof(f2766,plain,
( spl53_251
<=> hd(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_251])]) ).
fof(f4278,plain,
( hd(cons(sK29,app(tl(sK25),cons(hd(nil),nil)))) = sK29
| ~ spl53_251
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2768,f3348]) ).
fof(f2768,plain,
( hd(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = sK29
| ~ spl53_251 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f4363,plain,
( spl53_455
| ~ spl53_254
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4281,f3346,f2781,f4360]) ).
fof(f4360,plain,
( spl53_455
<=> sK46(app(tl(sK25),cons(hd(nil),nil))) = tl(app(tl(sK25),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_455])]) ).
fof(f2781,plain,
( spl53_254
<=> tl(app(tl(sK25),cons(hd(sK25),nil))) = sK46(app(tl(sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_254])]) ).
fof(f4281,plain,
( sK46(app(tl(sK25),cons(hd(nil),nil))) = tl(app(tl(sK25),cons(hd(nil),nil)))
| ~ spl53_254
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2783,f3348]) ).
fof(f2783,plain,
( tl(app(tl(sK25),cons(hd(sK25),nil))) = sK46(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_254 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f4358,plain,
( ~ spl53_454
| spl53_283
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4287,f3346,f2981,f4355]) ).
fof(f4287,plain,
( ~ leq(hd(nil),hd(tl(sK25)))
| spl53_283
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2982,f3348]) ).
fof(f2982,plain,
( ~ leq(hd(sK25),hd(tl(sK25)))
| spl53_283 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f4353,plain,
( spl53_382
| ~ spl53_287
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4289,f3346,f3021,f3806]) ).
fof(f3021,plain,
( spl53_287
<=> ssList(app(sK26,cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_287])]) ).
fof(f4289,plain,
( ssList(app(sK26,cons(hd(nil),nil)))
| ~ spl53_287
| ~ spl53_329 ),
inference(backward_demodulation,[],[f3023,f3348]) ).
fof(f3023,plain,
( ssList(app(sK26,cons(hd(sK25),nil)))
| ~ spl53_287 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f4352,plain,
( spl53_453
| ~ spl53_57
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4245,f3346,f1029,f4349]) ).
fof(f4349,plain,
( spl53_453
<=> hd(nil) = sK2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_453])]) ).
fof(f1029,plain,
( spl53_57
<=> sK2(sK25) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_57])]) ).
fof(f4245,plain,
( hd(nil) = sK2(sK25)
| ~ spl53_57
| ~ spl53_329 ),
inference(backward_demodulation,[],[f1031,f3348]) ).
fof(f1031,plain,
( sK2(sK25) = hd(sK25)
| ~ spl53_57 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f4347,plain,
( spl53_333
| ~ spl53_290
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4291,f3346,f3036,f3529]) ).
fof(f3036,plain,
( spl53_290
<=> ssList(app(tl(sK26),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_290])]) ).
fof(f4291,plain,
( ssList(app(tl(sK26),cons(hd(nil),nil)))
| ~ spl53_290
| ~ spl53_329 ),
inference(backward_demodulation,[],[f3038,f3348]) ).
fof(f3038,plain,
( ssList(app(tl(sK26),cons(hd(sK25),nil)))
| ~ spl53_290 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f4346,plain,
( spl53_452
| ~ spl53_268
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4285,f3346,f2869,f4343]) ).
fof(f4285,plain,
( hd(app(sK25,tl(sK26))) = hd(nil)
| ~ spl53_268
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2871,f3348]) ).
fof(f2871,plain,
( hd(app(sK25,tl(sK26))) = hd(sK25)
| ~ spl53_268 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f4341,plain,
( spl53_451
| ~ spl53_198
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4257,f3346,f2324,f4338]) ).
fof(f2324,plain,
( spl53_198
<=> hd(app(sK25,app(sK26,sK25))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_198])]) ).
fof(f4257,plain,
( hd(nil) = hd(app(sK25,app(sK26,sK25)))
| ~ spl53_198
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2326,f3348]) ).
fof(f2326,plain,
( hd(app(sK25,app(sK26,sK25))) = hd(sK25)
| ~ spl53_198 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f4336,plain,
( spl53_450
| ~ spl53_228
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4266,f3346,f2586,f4333]) ).
fof(f2586,plain,
( spl53_228
<=> sK25 = cons(hd(sK25),tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_228])]) ).
fof(f4266,plain,
( sK25 = cons(hd(nil),tl(sK25))
| ~ spl53_228
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2588,f3348]) ).
fof(f2588,plain,
( sK25 = cons(hd(sK25),tl(sK25))
| ~ spl53_228 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f4331,plain,
( spl53_449
| ~ spl53_252
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4279,f3346,f2771,f4328]) ).
fof(f2771,plain,
( spl53_252
<=> ssList(app(app(tl(sK25),cons(hd(sK25),nil)),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_252])]) ).
fof(f4279,plain,
( ssList(app(app(tl(sK25),cons(hd(nil),nil)),sK25))
| ~ spl53_252
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2773,f3348]) ).
fof(f2773,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),sK25))
| ~ spl53_252 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f4326,plain,
( ~ spl53_448
| spl53_223
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4263,f3346,f2559,f4323]) ).
fof(f4323,plain,
( spl53_448
<=> cons(hd(nil),cons(sK29,sK26)) = app(sK25,cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_448])]) ).
fof(f2559,plain,
( spl53_223
<=> app(sK25,cons(sK29,sK26)) = cons(hd(sK25),cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_223])]) ).
fof(f4263,plain,
( cons(hd(nil),cons(sK29,sK26)) != app(sK25,cons(sK29,sK26))
| spl53_223
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2560,f3348]) ).
fof(f2560,plain,
( app(sK25,cons(sK29,sK26)) != cons(hd(sK25),cons(sK29,sK26))
| spl53_223 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f4321,plain,
( spl53_447
| ~ spl53_275
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4286,f3346,f2923,f4318]) ).
fof(f2923,plain,
( spl53_275
<=> ssList(app(cons(hd(sK25),nil),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_275])]) ).
fof(f4286,plain,
( ssList(app(cons(hd(nil),nil),tl(sK25)))
| ~ spl53_275
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2925,f3348]) ).
fof(f2925,plain,
( ssList(app(cons(hd(sK25),nil),tl(sK25)))
| ~ spl53_275 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f4316,plain,
( spl53_446
| ~ spl53_195
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4255,f3346,f2308,f4313]) ).
fof(f2308,plain,
( spl53_195
<=> hd(app(sK25,cons(sK29,sK26))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_195])]) ).
fof(f4255,plain,
( hd(app(sK25,cons(sK29,sK26))) = hd(nil)
| ~ spl53_195
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2310,f3348]) ).
fof(f2310,plain,
( hd(app(sK25,cons(sK29,sK26))) = hd(sK25)
| ~ spl53_195 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f4311,plain,
( spl53_445
| ~ spl53_294
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4293,f3346,f3077,f4308]) ).
fof(f3077,plain,
( spl53_294
<=> ssList(app(app(tl(sK25),cons(hd(sK25),nil)),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_294])]) ).
fof(f4293,plain,
( ssList(app(app(tl(sK25),cons(hd(nil),nil)),cons(hd(nil),nil)))
| ~ spl53_294
| ~ spl53_329 ),
inference(backward_demodulation,[],[f3079,f3348]) ).
fof(f3079,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),cons(hd(sK25),nil)))
| ~ spl53_294 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f4306,plain,
( spl53_444
| ~ spl53_192
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4252,f3346,f2281,f4303]) ).
fof(f4303,plain,
( spl53_444
<=> tl(cons(hd(nil),sK25)) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_444])]) ).
fof(f2281,plain,
( spl53_192
<=> tl(cons(hd(sK25),sK25)) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_192])]) ).
fof(f4252,plain,
( tl(cons(hd(nil),sK25)) = sK25
| ~ spl53_192
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2283,f3348]) ).
fof(f2283,plain,
( tl(cons(hd(sK25),sK25)) = sK25
| ~ spl53_192 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f4301,plain,
( spl53_443
| ~ spl53_247
| ~ spl53_329 ),
inference(avatar_split_clause,[],[f4275,f3346,f2747,f4298]) ).
fof(f2747,plain,
( spl53_247
<=> hd(sK25) = hd(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_247])]) ).
fof(f4275,plain,
( hd(nil) = hd(cons(hd(nil),app(tl(sK25),cons(hd(nil),nil))))
| ~ spl53_247
| ~ spl53_329 ),
inference(backward_demodulation,[],[f2749,f3348]) ).
fof(f2749,plain,
( hd(sK25) = hd(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil))))
| ~ spl53_247 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f4237,plain,
( spl53_442
| ~ spl53_11
| ~ spl53_13
| ~ spl53_25 ),
inference(avatar_split_clause,[],[f4232,f722,f662,f651,f4234]) ).
fof(f4234,plain,
( spl53_442
<=> sK25 = cons(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_442])]) ).
fof(f4232,plain,
( sK25 = cons(sK29,sK30)
| ~ spl53_11
| ~ spl53_13
| ~ spl53_25 ),
inference(forward_demodulation,[],[f4176,f724]) ).
fof(f4231,plain,
( spl53_22
| ~ spl53_75
| ~ spl53_104
| ~ spl53_274 ),
inference(avatar_split_clause,[],[f4230,f2918,f1660,f1328,f703]) ).
fof(f1328,plain,
( spl53_75
<=> tl(sK25) = app(nil,tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_75])]) ).
fof(f2918,plain,
( spl53_274
<=> ssList(app(app(sK25,sK25),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_274])]) ).
fof(f4230,plain,
( ssList(tl(sK25))
| ~ spl53_75
| ~ spl53_104
| ~ spl53_274 ),
inference(forward_demodulation,[],[f4229,f1330]) ).
fof(f1330,plain,
( tl(sK25) = app(nil,tl(sK25))
| ~ spl53_75 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f4229,plain,
( ssList(app(nil,tl(sK25)))
| ~ spl53_104
| ~ spl53_274 ),
inference(forward_demodulation,[],[f2920,f1662]) ).
fof(f2920,plain,
( ssList(app(app(sK25,sK25),tl(sK25)))
| ~ spl53_274 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f4228,plain,
( spl53_441
| ~ spl53_1
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2301,f1568,f604,f4222]) ).
fof(f4222,plain,
( spl53_441
<=> hd(sK25) = hd(app(sK25,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_441])]) ).
fof(f604,plain,
( spl53_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f2301,plain,
( hd(sK25) = hd(app(sK25,nil))
| ~ spl53_1
| ~ spl53_98 ),
inference(resolution,[],[f1569,f605]) ).
fof(f605,plain,
( ssList(nil)
| ~ spl53_1 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f4227,plain,
( spl53_357
| ~ spl53_384
| ~ spl53_389 ),
inference(avatar_split_clause,[],[f4226,f3841,f3816,f3659]) ).
fof(f3816,plain,
( spl53_384
<=> nil = tl(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_384])]) ).
fof(f3841,plain,
( spl53_389
<=> tl(cons(hd(nil),nil)) = sK46(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_389])]) ).
fof(f4226,plain,
( nil = sK46(cons(hd(nil),nil))
| ~ spl53_384
| ~ spl53_389 ),
inference(backward_demodulation,[],[f3842,f3817]) ).
fof(f3817,plain,
( nil = tl(cons(hd(nil),nil))
| ~ spl53_384 ),
inference(avatar_component_clause,[],[f3816]) ).
fof(f3842,plain,
( tl(cons(hd(nil),nil)) = sK46(cons(hd(nil),nil))
| ~ spl53_389 ),
inference(avatar_component_clause,[],[f3841]) ).
fof(f4225,plain,
( spl53_441
| ~ spl53_98
| ~ spl53_100
| ~ spl53_104 ),
inference(avatar_split_clause,[],[f4220,f1660,f1609,f1568,f4222]) ).
fof(f1609,plain,
( spl53_100
<=> ssList(app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_100])]) ).
fof(f4220,plain,
( hd(sK25) = hd(app(sK25,nil))
| ~ spl53_98
| ~ spl53_100
| ~ spl53_104 ),
inference(forward_demodulation,[],[f2298,f1662]) ).
fof(f2298,plain,
( hd(sK25) = hd(app(sK25,app(sK25,sK25)))
| ~ spl53_98
| ~ spl53_100 ),
inference(resolution,[],[f1569,f1611]) ).
fof(f1611,plain,
( ssList(app(sK25,sK25))
| ~ spl53_100 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f4219,plain,
( spl53_40
| ~ spl53_48
| ~ spl53_405 ),
inference(avatar_split_clause,[],[f4217,f3937,f901,f836]) ).
fof(f3937,plain,
( spl53_405
<=> ssList(app(nil,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_405])]) ).
fof(f4217,plain,
( ssList(cons(hd(nil),nil))
| ~ spl53_48
| ~ spl53_405 ),
inference(backward_demodulation,[],[f3938,f902]) ).
fof(f3938,plain,
( ssList(app(nil,cons(hd(nil),nil)))
| ~ spl53_405 ),
inference(avatar_component_clause,[],[f3937]) ).
fof(f4216,plain,
( spl53_22
| ~ spl53_75
| ~ spl53_330 ),
inference(avatar_split_clause,[],[f4215,f3353,f1328,f703]) ).
fof(f3353,plain,
( spl53_330
<=> ssList(app(nil,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_330])]) ).
fof(f4215,plain,
( ssList(tl(sK25))
| ~ spl53_75
| ~ spl53_330 ),
inference(backward_demodulation,[],[f3354,f1330]) ).
fof(f3354,plain,
( ssList(app(nil,tl(sK25)))
| ~ spl53_330 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f4214,plain,
( spl53_232
| ~ spl53_22
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2626,f1568,f703,f2629]) ).
fof(f2626,plain,
( hd(sK25) = hd(app(sK25,tl(sK25)))
| ~ spl53_22
| ~ spl53_98 ),
inference(resolution,[],[f704,f1569]) ).
fof(f4213,plain,
( spl53_268
| ~ spl53_98
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2817,f2234,f1568,f2869]) ).
fof(f2234,plain,
( spl53_185
<=> ssList(tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_185])]) ).
fof(f2817,plain,
( hd(app(sK25,tl(sK26))) = hd(sK25)
| ~ spl53_98
| ~ spl53_185 ),
inference(resolution,[],[f2235,f1569]) ).
fof(f2235,plain,
( ssList(tl(sK26))
| ~ spl53_185 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f4212,plain,
( ~ spl53_37
| ~ spl53_36
| spl53_96 ),
inference(avatar_split_clause,[],[f1540,f1525,f791,f805]) ).
fof(f1540,plain,
( nil != sK25
| ~ spl53_36
| spl53_96 ),
inference(superposition,[],[f1527,f793]) ).
fof(f1527,plain,
( nil != app(nil,sK25)
| spl53_96 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f4211,plain,
( spl53_329
| ~ spl53_9
| ~ spl53_98
| ~ spl53_104 ),
inference(avatar_split_clause,[],[f4210,f1660,f1568,f642,f3346]) ).
fof(f642,plain,
( spl53_9
<=> ssList(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f4210,plain,
( hd(nil) = hd(sK25)
| ~ spl53_9
| ~ spl53_98
| ~ spl53_104 ),
inference(forward_demodulation,[],[f2304,f1662]) ).
fof(f2304,plain,
( hd(app(sK25,sK25)) = hd(sK25)
| ~ spl53_9
| ~ spl53_98 ),
inference(resolution,[],[f1569,f644]) ).
fof(f644,plain,
( ssList(sK25)
| ~ spl53_9 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f4209,plain,
( spl53_229
| ~ spl53_104
| ~ spl53_215 ),
inference(avatar_split_clause,[],[f4208,f2486,f1660,f2592]) ).
fof(f2592,plain,
( spl53_229
<=> hd(cons(hd(sK25),nil)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_229])]) ).
fof(f2486,plain,
( spl53_215
<=> hd(cons(hd(sK25),app(sK25,sK25))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_215])]) ).
fof(f4208,plain,
( hd(cons(hd(sK25),nil)) = hd(sK25)
| ~ spl53_104
| ~ spl53_215 ),
inference(backward_demodulation,[],[f2488,f1662]) ).
fof(f2488,plain,
( hd(cons(hd(sK25),app(sK25,sK25))) = hd(sK25)
| ~ spl53_215 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f4207,plain,
( spl53_230
| ~ spl53_89
| ~ spl53_227 ),
inference(avatar_split_clause,[],[f2597,f2581,f1432,f2599]) ).
fof(f1432,plain,
( spl53_89
<=> tl(cons(hd(sK25),nil)) = sK46(cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_89])]) ).
fof(f2581,plain,
( spl53_227
<=> nil = tl(cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_227])]) ).
fof(f2597,plain,
( nil = sK46(cons(hd(sK25),nil))
| ~ spl53_89
| ~ spl53_227 ),
inference(backward_demodulation,[],[f1434,f2583]) ).
fof(f2583,plain,
( nil = tl(cons(hd(sK25),nil))
| ~ spl53_227 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f1434,plain,
( tl(cons(hd(sK25),nil)) = sK46(cons(hd(sK25),nil))
| ~ spl53_89 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f4206,plain,
( spl53_230
| ~ spl53_89
| ~ spl53_227 ),
inference(avatar_split_clause,[],[f4205,f2581,f1432,f2599]) ).
fof(f4205,plain,
( nil = sK46(cons(hd(sK25),nil))
| ~ spl53_89
| ~ spl53_227 ),
inference(forward_demodulation,[],[f1434,f2583]) ).
fof(f4204,plain,
( spl53_40
| ~ spl53_47
| ~ spl53_362 ),
inference(avatar_split_clause,[],[f4203,f3685,f896,f836]) ).
fof(f896,plain,
( spl53_47
<=> cons(hd(nil),nil) = app(cons(hd(nil),nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_47])]) ).
fof(f3685,plain,
( spl53_362
<=> ssList(app(cons(hd(nil),nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_362])]) ).
fof(f4203,plain,
( ssList(cons(hd(nil),nil))
| ~ spl53_47
| ~ spl53_362 ),
inference(backward_demodulation,[],[f3686,f897]) ).
fof(f897,plain,
( cons(hd(nil),nil) = app(cons(hd(nil),nil),nil)
| ~ spl53_47 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f3686,plain,
( ssList(app(cons(hd(nil),nil),nil))
| ~ spl53_362 ),
inference(avatar_component_clause,[],[f3685]) ).
fof(f4202,plain,
( spl53_440
| spl53_49
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f4171,f662,f954,f4199]) ).
fof(f4199,plain,
( spl53_440
<=> cons(hd(sK30),tl(sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_440])]) ).
fof(f4171,plain,
( nil = sK30
| cons(hd(sK30),tl(sK30)) = sK30
| ~ spl53_13 ),
inference(resolution,[],[f664,f494]) ).
fof(f494,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f4197,plain,
( spl53_439
| ~ spl53_13
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f4177,f1572,f662,f4194]) ).
fof(f4194,plain,
( spl53_439
<=> hd(app(sK26,sK30)) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_439])]) ).
fof(f1572,plain,
( spl53_99
<=> ! [X9] :
( ~ ssList(X9)
| hd(app(sK26,X9)) = hd(sK26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_99])]) ).
fof(f4177,plain,
( hd(app(sK26,sK30)) = hd(sK26)
| ~ spl53_13
| ~ spl53_99 ),
inference(resolution,[],[f664,f1573]) ).
fof(f1573,plain,
( ! [X9] :
( ~ ssList(X9)
| hd(app(sK26,X9)) = hd(sK26) )
| ~ spl53_99 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f4192,plain,
( spl53_438
| spl53_49
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f4168,f662,f954,f4190]) ).
fof(f4190,plain,
( spl53_438
<=> ! [X5] :
( hd(app(sK30,X5)) = hd(sK30)
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_438])]) ).
fof(f4168,plain,
( ! [X5] :
( nil = sK30
| hd(app(sK30,X5)) = hd(sK30)
| ~ ssList(X5) )
| ~ spl53_13 ),
inference(resolution,[],[f664,f441]) ).
fof(f441,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = X0
| ~ ssList(X1)
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| hd(X0) = hd(app(X0,X1))
| nil = X0 )
| ~ ssList(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f4188,plain,
( spl53_437
| spl53_49
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f4162,f662,f954,f4185]) ).
fof(f4185,plain,
( spl53_437
<=> cons(sK1(sK30),sK0(sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_437])]) ).
fof(f4162,plain,
( nil = sK30
| cons(sK1(sK30),sK0(sK30)) = sK30
| ~ spl53_13 ),
inference(resolution,[],[f664,f345]) ).
fof(f345,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK1(X0),sK0(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ( ssList(sK0(X0))
& ssItem(sK1(X0))
& cons(sK1(X0),sK0(X0)) = X0 )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f129,f225,f224]) ).
fof(f224,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
=> ( ssList(sK0(X0))
& ? [X2] :
( ssItem(X2)
& cons(X2,sK0(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK0(X0)) = X0 )
=> ( ssItem(sK1(X0))
& cons(sK1(X0),sK0(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f4183,plain,
( spl53_436
| ~ spl53_11
| ~ spl53_13
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f4178,f846,f662,f651,f4180]) ).
fof(f4160,plain,
( ~ spl53_435
| ~ spl53_37
| spl53_180 ),
inference(avatar_split_clause,[],[f4159,f2192,f805,f4148]) ).
fof(f4148,plain,
( spl53_435
<=> strictorderedP(sK0(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_435])]) ).
fof(f2192,plain,
( spl53_180
<=> strictorderedP(sK0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_180])]) ).
fof(f4159,plain,
( ~ strictorderedP(sK0(nil))
| ~ spl53_37
| spl53_180 ),
inference(forward_demodulation,[],[f2193,f807]) ).
fof(f2193,plain,
( ~ strictorderedP(sK0(sK25))
| spl53_180 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f4158,plain,
( ~ spl53_350
| ~ spl53_37
| spl53_233 ),
inference(avatar_split_clause,[],[f4157,f2634,f805,f3620]) ).
fof(f3620,plain,
( spl53_350
<=> cons(sK1(tl(nil)),sK0(tl(nil))) = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_350])]) ).
fof(f2634,plain,
( spl53_233
<=> tl(sK25) = cons(sK1(tl(sK25)),sK0(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_233])]) ).
fof(f4157,plain,
( cons(sK1(tl(nil)),sK0(tl(nil))) != tl(nil)
| ~ spl53_37
| spl53_233 ),
inference(forward_demodulation,[],[f2635,f807]) ).
fof(f2635,plain,
( tl(sK25) != cons(sK1(tl(sK25)),sK0(tl(sK25)))
| spl53_233 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f4151,plain,
( spl53_435
| ~ spl53_37
| ~ spl53_180 ),
inference(avatar_split_clause,[],[f4146,f2192,f805,f4148]) ).
fof(f4146,plain,
( strictorderedP(sK0(nil))
| ~ spl53_37
| ~ spl53_180 ),
inference(forward_demodulation,[],[f2194,f807]) ).
fof(f2194,plain,
( strictorderedP(sK0(sK25))
| ~ spl53_180 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f4144,plain,
( spl53_431
| ~ spl53_37
| ~ spl53_174 ),
inference(avatar_split_clause,[],[f4143,f2165,f805,f4112]) ).
fof(f4143,plain,
( ssList(sK0(nil))
| ~ spl53_37
| ~ spl53_174 ),
inference(forward_demodulation,[],[f2166,f807]) ).
fof(f2166,plain,
( ssList(sK0(sK25))
| ~ spl53_174 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f4142,plain,
( ~ spl53_377
| ~ spl53_37
| spl53_76 ),
inference(avatar_split_clause,[],[f4141,f1333,f805,f3771]) ).
fof(f4141,plain,
( tl(tl(nil)) != sK46(tl(nil))
| ~ spl53_37
| spl53_76 ),
inference(forward_demodulation,[],[f1334,f807]) ).
fof(f1334,plain,
( sK46(tl(sK25)) != tl(tl(sK25))
| spl53_76 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f4139,plain,
( ~ spl53_391
| ~ spl53_37
| spl53_295 ),
inference(avatar_split_clause,[],[f4138,f3093,f805,f3852]) ).
fof(f4138,plain,
( ~ ssItem(sK1(tl(nil)))
| ~ spl53_37
| spl53_295 ),
inference(forward_demodulation,[],[f3095,f807]) ).
fof(f3095,plain,
( ~ ssItem(sK1(tl(sK25)))
| spl53_295 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f4137,plain,
( ~ spl53_434
| ~ spl53_37
| spl53_172 ),
inference(avatar_split_clause,[],[f4132,f2157,f805,f4134]) ).
fof(f4134,plain,
( spl53_434
<=> leq(sK1(nil),hd(sK0(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_434])]) ).
fof(f2157,plain,
( spl53_172
<=> leq(sK1(sK25),hd(sK0(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_172])]) ).
fof(f4132,plain,
( ~ leq(sK1(nil),hd(sK0(nil)))
| ~ spl53_37
| spl53_172 ),
inference(forward_demodulation,[],[f2158,f807]) ).
fof(f2158,plain,
( ~ leq(sK1(sK25),hd(sK0(sK25)))
| spl53_172 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f4131,plain,
( ~ spl53_355
| ~ spl53_37
| spl53_176 ),
inference(avatar_split_clause,[],[f4130,f2174,f805,f3645]) ).
fof(f3645,plain,
( spl53_355
<=> nil = sK0(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_355])]) ).
fof(f2174,plain,
( spl53_176
<=> sK0(sK25) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_176])]) ).
fof(f4130,plain,
( nil != sK0(nil)
| ~ spl53_37
| spl53_176 ),
inference(forward_demodulation,[],[f2176,f807]) ).
fof(f2176,plain,
( sK0(sK25) != sK25
| spl53_176 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f4127,plain,
( ~ spl53_433
| ~ spl53_37
| spl53_177 ),
inference(avatar_split_clause,[],[f4122,f2179,f805,f4124]) ).
fof(f4124,plain,
( spl53_433
<=> lt(sK1(nil),hd(sK0(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_433])]) ).
fof(f2179,plain,
( spl53_177
<=> lt(sK1(sK25),hd(sK0(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_177])]) ).
fof(f4122,plain,
( ~ lt(sK1(nil),hd(sK0(nil)))
| ~ spl53_37
| spl53_177 ),
inference(forward_demodulation,[],[f2180,f807]) ).
fof(f2180,plain,
( ~ lt(sK1(sK25),hd(sK0(sK25)))
| spl53_177 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f4121,plain,
( spl53_432
| ~ spl53_37
| ~ spl53_181 ),
inference(avatar_split_clause,[],[f4116,f2199,f805,f4118]) ).
fof(f4118,plain,
( spl53_432
<=> totalorderedP(sK0(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_432])]) ).
fof(f2199,plain,
( spl53_181
<=> totalorderedP(sK0(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_181])]) ).
fof(f4116,plain,
( totalorderedP(sK0(nil))
| ~ spl53_37
| ~ spl53_181 ),
inference(forward_demodulation,[],[f2201,f807]) ).
fof(f2201,plain,
( totalorderedP(sK0(sK25))
| ~ spl53_181 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f4115,plain,
( ~ spl53_380
| ~ spl53_431
| ~ spl53_37
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f4110,f1484,f805,f4112,f3792]) ).
fof(f3792,plain,
( spl53_380
<=> ssItem(sK1(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_380])]) ).
fof(f4110,plain,
( ~ ssList(sK0(nil))
| ~ ssItem(sK1(nil))
| ~ spl53_37
| ~ spl53_93 ),
inference(trivial_inequality_removal,[],[f4109]) ).
fof(f4109,plain,
( nil != nil
| ~ ssList(sK0(nil))
| ~ ssItem(sK1(nil))
| ~ spl53_37
| ~ spl53_93 ),
inference(forward_demodulation,[],[f4108,f807]) ).
fof(f4108,plain,
( nil != sK25
| ~ ssItem(sK1(nil))
| ~ ssList(sK0(nil))
| ~ spl53_37
| ~ spl53_93 ),
inference(forward_demodulation,[],[f4107,f807]) ).
fof(f4107,plain,
( ~ ssList(sK0(sK25))
| ~ ssItem(sK1(nil))
| nil != sK25
| ~ spl53_37
| ~ spl53_93 ),
inference(forward_demodulation,[],[f2149,f807]) ).
fof(f4106,plain,
( ~ spl53_394
| ~ spl53_37
| spl53_256 ),
inference(avatar_split_clause,[],[f4105,f2791,f805,f3876]) ).
fof(f3876,plain,
( spl53_394
<=> hd(app(sK26,app(tl(nil),cons(hd(nil),nil)))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_394])]) ).
fof(f4105,plain,
( hd(app(sK26,app(tl(nil),cons(hd(nil),nil)))) != hd(sK26)
| ~ spl53_37
| spl53_256 ),
inference(forward_demodulation,[],[f2792,f807]) ).
fof(f2792,plain,
( hd(sK26) != hd(app(sK26,app(tl(sK25),cons(hd(sK25),nil))))
| spl53_256 ),
inference(avatar_component_clause,[],[f2791]) ).
fof(f4103,plain,
( ~ spl53_430
| ~ spl53_37
| spl53_264 ),
inference(avatar_split_clause,[],[f4098,f2849,f805,f4100]) ).
fof(f4100,plain,
( spl53_430
<=> tl(sK26) = tl(cons(hd(nil),tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_430])]) ).
fof(f2849,plain,
( spl53_264
<=> tl(cons(hd(sK25),tl(sK26))) = tl(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_264])]) ).
fof(f4098,plain,
( tl(sK26) != tl(cons(hd(nil),tl(sK26)))
| ~ spl53_37
| spl53_264 ),
inference(forward_demodulation,[],[f2850,f807]) ).
fof(f2850,plain,
( tl(cons(hd(sK25),tl(sK26))) != tl(sK26)
| spl53_264 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f4097,plain,
( ~ spl53_429
| ~ spl53_37
| spl53_257 ),
inference(avatar_split_clause,[],[f4092,f2796,f805,f4094]) ).
fof(f4094,plain,
( spl53_429
<=> app(tl(nil),cons(hd(nil),nil)) = app(app(tl(nil),cons(hd(nil),nil)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_429])]) ).
fof(f4092,plain,
( app(tl(nil),cons(hd(nil),nil)) != app(app(tl(nil),cons(hd(nil),nil)),nil)
| ~ spl53_37
| spl53_257 ),
inference(forward_demodulation,[],[f2797,f807]) ).
fof(f2797,plain,
( app(tl(sK25),cons(hd(sK25),nil)) != app(app(tl(sK25),cons(hd(sK25),nil)),nil)
| spl53_257 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f4091,plain,
( ~ spl53_428
| ~ spl53_37
| spl53_193 ),
inference(avatar_split_clause,[],[f4086,f2287,f805,f4088]) ).
fof(f4088,plain,
( spl53_428
<=> tl(cons(hd(nil),cons(sK29,sK26))) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_428])]) ).
fof(f2287,plain,
( spl53_193
<=> cons(sK29,sK26) = tl(cons(hd(sK25),cons(sK29,sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_193])]) ).
fof(f4086,plain,
( tl(cons(hd(nil),cons(sK29,sK26))) != cons(sK29,sK26)
| ~ spl53_37
| spl53_193 ),
inference(forward_demodulation,[],[f2288,f807]) ).
fof(f2288,plain,
( cons(sK29,sK26) != tl(cons(hd(sK25),cons(sK29,sK26)))
| spl53_193 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f4085,plain,
( ~ spl53_427
| ~ spl53_37
| spl53_90 ),
inference(avatar_split_clause,[],[f4080,f1437,f805,f4082]) ).
fof(f1437,plain,
( spl53_90
<=> hd(cons(sK29,cons(hd(sK25),nil))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_90])]) ).
fof(f4080,plain,
( sK29 != hd(cons(sK29,cons(hd(nil),nil)))
| ~ spl53_37
| spl53_90 ),
inference(forward_demodulation,[],[f1438,f807]) ).
fof(f1438,plain,
( hd(cons(sK29,cons(hd(sK25),nil))) != sK29
| spl53_90 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f4079,plain,
( ~ spl53_426
| ~ spl53_37
| spl53_240 ),
inference(avatar_split_clause,[],[f4074,f2688,f805,f4076]) ).
fof(f2688,plain,
( spl53_240
<=> hd(app(sK26,cons(hd(sK25),nil))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_240])]) ).
fof(f4074,plain,
( hd(app(sK26,cons(hd(nil),nil))) != hd(sK26)
| ~ spl53_37
| spl53_240 ),
inference(forward_demodulation,[],[f2689,f807]) ).
fof(f2689,plain,
( hd(app(sK26,cons(hd(sK25),nil))) != hd(sK26)
| spl53_240 ),
inference(avatar_component_clause,[],[f2688]) ).
fof(f4073,plain,
( ~ spl53_425
| ~ spl53_37
| spl53_316 ),
inference(avatar_split_clause,[],[f4068,f3235,f805,f4070]) ).
fof(f3235,plain,
( spl53_316
<=> sK25 = cons(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_316])]) ).
fof(f4068,plain,
( nil != cons(sK29,nil)
| ~ spl53_37
| spl53_316 ),
inference(forward_demodulation,[],[f3236,f807]) ).
fof(f3236,plain,
( sK25 != cons(sK29,nil)
| spl53_316 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f4064,plain,
( ~ spl53_424
| ~ spl53_37
| ~ spl53_65
| ~ spl53_138
| spl53_195 ),
inference(avatar_split_clause,[],[f4059,f2308,f1907,f1147,f805,f4061]) ).
fof(f4059,plain,
( hd(nil) != sK29
| ~ spl53_37
| ~ spl53_65
| ~ spl53_138
| spl53_195 ),
inference(forward_demodulation,[],[f4058,f1149]) ).
fof(f4058,plain,
( hd(nil) != hd(cons(sK29,sK26))
| ~ spl53_37
| ~ spl53_138
| spl53_195 ),
inference(forward_demodulation,[],[f4057,f1909]) ).
fof(f4057,plain,
( hd(app(nil,cons(sK29,sK26))) != hd(nil)
| ~ spl53_37
| spl53_195 ),
inference(forward_demodulation,[],[f2309,f807]) ).
fof(f2309,plain,
( hd(app(sK25,cons(sK29,sK26))) != hd(sK25)
| spl53_195 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f4055,plain,
( ~ spl53_423
| ~ spl53_37
| spl53_243 ),
inference(avatar_split_clause,[],[f4050,f2705,f805,f4052]) ).
fof(f2705,plain,
( spl53_243
<=> hd(cons(hd(sK25),cons(hd(sK25),nil))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_243])]) ).
fof(f4050,plain,
( hd(nil) != hd(cons(hd(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_243 ),
inference(forward_demodulation,[],[f2706,f807]) ).
fof(f2706,plain,
( hd(cons(hd(sK25),cons(hd(sK25),nil))) != hd(sK25)
| spl53_243 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f4049,plain,
( ~ spl53_351
| ~ spl53_33
| ~ spl53_37
| spl53_215 ),
inference(avatar_split_clause,[],[f4048,f2486,f805,f772,f3625]) ).
fof(f3625,plain,
( spl53_351
<=> hd(nil) = hd(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_351])]) ).
fof(f4048,plain,
( hd(nil) != hd(cons(hd(nil),nil))
| ~ spl53_33
| ~ spl53_37
| spl53_215 ),
inference(forward_demodulation,[],[f4047,f774]) ).
fof(f4047,plain,
( hd(nil) != hd(cons(hd(nil),app(nil,nil)))
| ~ spl53_37
| spl53_215 ),
inference(forward_demodulation,[],[f2487,f807]) ).
fof(f2487,plain,
( hd(cons(hd(sK25),app(sK25,sK25))) != hd(sK25)
| spl53_215 ),
inference(avatar_component_clause,[],[f2486]) ).
fof(f4046,plain,
( ~ spl53_422
| ~ spl53_37
| spl53_247 ),
inference(avatar_split_clause,[],[f4041,f2747,f805,f4043]) ).
fof(f4043,plain,
( spl53_422
<=> hd(cons(hd(nil),app(tl(nil),cons(hd(nil),nil)))) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_422])]) ).
fof(f4041,plain,
( hd(cons(hd(nil),app(tl(nil),cons(hd(nil),nil)))) != hd(nil)
| ~ spl53_37
| spl53_247 ),
inference(forward_demodulation,[],[f2748,f807]) ).
fof(f2748,plain,
( hd(sK25) != hd(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil))))
| spl53_247 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f4040,plain,
( ~ spl53_421
| ~ spl53_37
| spl53_315 ),
inference(avatar_split_clause,[],[f4035,f3229,f805,f4037]) ).
fof(f4035,plain,
( app(cons(sK29,nil),app(tl(nil),cons(hd(nil),nil))) != cons(sK29,app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_315 ),
inference(forward_demodulation,[],[f3230,f807]) ).
fof(f3230,plain,
( app(cons(sK29,nil),app(tl(sK25),cons(hd(sK25),nil))) != cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))
| spl53_315 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f4034,plain,
( ~ spl53_351
| ~ spl53_37
| spl53_214 ),
inference(avatar_split_clause,[],[f4033,f2481,f805,f3625]) ).
fof(f4033,plain,
( hd(nil) != hd(cons(hd(nil),nil))
| ~ spl53_37
| spl53_214 ),
inference(forward_demodulation,[],[f2482,f807]) ).
fof(f2482,plain,
( hd(sK25) != hd(cons(hd(sK25),sK25))
| spl53_214 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f4031,plain,
( ~ spl53_405
| ~ spl53_33
| ~ spl53_37
| spl53_289 ),
inference(avatar_split_clause,[],[f4030,f3031,f805,f772,f3937]) ).
fof(f3031,plain,
( spl53_289
<=> ssList(app(app(sK25,sK25),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_289])]) ).
fof(f4030,plain,
( ~ ssList(app(nil,cons(hd(nil),nil)))
| ~ spl53_33
| ~ spl53_37
| spl53_289 ),
inference(forward_demodulation,[],[f4029,f774]) ).
fof(f4029,plain,
( ~ ssList(app(app(nil,nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_289 ),
inference(forward_demodulation,[],[f3032,f807]) ).
fof(f3032,plain,
( ~ ssList(app(app(sK25,sK25),cons(hd(sK25),nil)))
| spl53_289 ),
inference(avatar_component_clause,[],[f3031]) ).
fof(f4028,plain,
( ~ spl53_420
| ~ spl53_37
| spl53_234 ),
inference(avatar_split_clause,[],[f4023,f2639,f805,f4025]) ).
fof(f4023,plain,
( ~ ssList(app(tl(nil),nil))
| ~ spl53_37
| spl53_234 ),
inference(forward_demodulation,[],[f2640,f807]) ).
fof(f2640,plain,
( ~ ssList(app(tl(sK25),sK25))
| spl53_234 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f4022,plain,
( ~ spl53_419
| ~ spl53_37
| spl53_273 ),
inference(avatar_split_clause,[],[f4017,f2912,f805,f4019]) ).
fof(f4017,plain,
( ~ ssList(app(cons(sK29,sK26),tl(nil)))
| ~ spl53_37
| spl53_273 ),
inference(forward_demodulation,[],[f2913,f807]) ).
fof(f2913,plain,
( ~ ssList(app(cons(sK29,sK26),tl(sK25)))
| spl53_273 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f4016,plain,
( ~ spl53_418
| ~ spl53_37
| spl53_282 ),
inference(avatar_split_clause,[],[f3486,f2974,f805,f4013]) ).
fof(f2974,plain,
( spl53_282
<=> totalorderedP(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_282])]) ).
fof(f3486,plain,
( ~ totalorderedP(tl(nil))
| ~ spl53_37
| spl53_282 ),
inference(backward_demodulation,[],[f2975,f807]) ).
fof(f2975,plain,
( ~ totalorderedP(tl(sK25))
| spl53_282 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f4011,plain,
( ~ spl53_417
| ~ spl53_37
| spl53_263 ),
inference(avatar_split_clause,[],[f3477,f2844,f805,f4008]) ).
fof(f4008,plain,
( spl53_417
<=> hd(nil) = hd(cons(hd(nil),tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_417])]) ).
fof(f2844,plain,
( spl53_263
<=> hd(cons(hd(sK25),tl(sK26))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_263])]) ).
fof(f3477,plain,
( hd(nil) != hd(cons(hd(nil),tl(sK26)))
| ~ spl53_37
| spl53_263 ),
inference(backward_demodulation,[],[f2845,f807]) ).
fof(f2845,plain,
( hd(cons(hd(sK25),tl(sK26))) != hd(sK25)
| spl53_263 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f4006,plain,
( ~ spl53_416
| ~ spl53_37
| spl53_300 ),
inference(avatar_split_clause,[],[f3502,f3114,f805,f4003]) ).
fof(f3114,plain,
( spl53_300
<=> nil = sK0(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_300])]) ).
fof(f3502,plain,
( nil != sK0(tl(nil))
| ~ spl53_37
| spl53_300 ),
inference(backward_demodulation,[],[f3115,f807]) ).
fof(f3115,plain,
( nil != sK0(tl(sK25))
| spl53_300 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f4001,plain,
( ~ spl53_415
| ~ spl53_37
| spl53_296 ),
inference(avatar_split_clause,[],[f3499,f3097,f805,f3998]) ).
fof(f3097,plain,
( spl53_296
<=> tl(sK25) = sK0(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_296])]) ).
fof(f3499,plain,
( sK0(tl(nil)) != tl(nil)
| ~ spl53_37
| spl53_296 ),
inference(backward_demodulation,[],[f3099,f807]) ).
fof(f3099,plain,
( tl(sK25) != sK0(tl(sK25))
| spl53_296 ),
inference(avatar_component_clause,[],[f3097]) ).
fof(f3996,plain,
( ~ spl53_414
| ~ spl53_37
| spl53_254 ),
inference(avatar_split_clause,[],[f3473,f2781,f805,f3993]) ).
fof(f3993,plain,
( spl53_414
<=> sK46(app(tl(nil),cons(hd(nil),nil))) = tl(app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_414])]) ).
fof(f3473,plain,
( sK46(app(tl(nil),cons(hd(nil),nil))) != tl(app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_254 ),
inference(backward_demodulation,[],[f2782,f807]) ).
fof(f2782,plain,
( tl(app(tl(sK25),cons(hd(sK25),nil))) != sK46(app(tl(sK25),cons(hd(sK25),nil)))
| spl53_254 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f3989,plain,
( ~ spl53_384
| ~ spl53_37
| spl53_192 ),
inference(avatar_split_clause,[],[f3430,f2281,f805,f3816]) ).
fof(f3430,plain,
( nil != tl(cons(hd(nil),nil))
| ~ spl53_37
| spl53_192 ),
inference(backward_demodulation,[],[f2282,f807]) ).
fof(f2282,plain,
( tl(cons(hd(sK25),sK25)) != sK25
| spl53_192 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f3988,plain,
( ~ spl53_382
| ~ spl53_30
| ~ spl53_37
| spl53_286 ),
inference(avatar_split_clause,[],[f3987,f3015,f805,f756,f3806]) ).
fof(f756,plain,
( spl53_30
<=> app(sK26,nil) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_30])]) ).
fof(f3987,plain,
( ~ ssList(app(sK26,cons(hd(nil),nil)))
| ~ spl53_30
| ~ spl53_37
| spl53_286 ),
inference(forward_demodulation,[],[f3490,f758]) ).
fof(f758,plain,
( app(sK26,nil) = sK26
| ~ spl53_30 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f3490,plain,
( ~ ssList(app(app(sK26,nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_286 ),
inference(backward_demodulation,[],[f3016,f807]) ).
fof(f3016,plain,
( ~ ssList(app(app(sK26,sK25),cons(hd(sK25),nil)))
| spl53_286 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f3985,plain,
( ~ spl53_413
| ~ spl53_37
| spl53_320 ),
inference(avatar_split_clause,[],[f3519,f3255,f805,f3982]) ).
fof(f3255,plain,
( spl53_320
<=> cons(sK29,cons(hd(sK25),nil)) = app(cons(sK29,nil),cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_320])]) ).
fof(f3519,plain,
( cons(sK29,cons(hd(nil),nil)) != app(cons(sK29,nil),cons(hd(nil),nil))
| ~ spl53_37
| spl53_320 ),
inference(backward_demodulation,[],[f3256,f807]) ).
fof(f3256,plain,
( cons(sK29,cons(hd(sK25),nil)) != app(cons(sK29,nil),cons(hd(sK25),nil))
| spl53_320 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f3978,plain,
( ~ spl53_412
| ~ spl53_37
| ~ spl53_157
| spl53_218 ),
inference(avatar_split_clause,[],[f3973,f2521,f2026,f805,f3975]) ).
fof(f3973,plain,
( hd(nil) != hd(sK0(sK26))
| ~ spl53_37
| ~ spl53_157
| spl53_218 ),
inference(forward_demodulation,[],[f3445,f2028]) ).
fof(f3445,plain,
( hd(nil) != hd(app(nil,sK0(sK26)))
| ~ spl53_37
| spl53_218 ),
inference(backward_demodulation,[],[f2522,f807]) ).
fof(f3972,plain,
( spl53_326
| ~ spl53_37
| ~ spl53_317 ),
inference(avatar_split_clause,[],[f3518,f3240,f805,f3290]) ).
fof(f3240,plain,
( spl53_317
<=> app(cons(sK29,nil),sK25) = cons(sK29,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_317])]) ).
fof(f3518,plain,
( app(cons(sK29,nil),nil) = cons(sK29,nil)
| ~ spl53_37
| ~ spl53_317 ),
inference(backward_demodulation,[],[f3242,f807]) ).
fof(f3242,plain,
( app(cons(sK29,nil),sK25) = cons(sK29,sK25)
| ~ spl53_317 ),
inference(avatar_component_clause,[],[f3240]) ).
fof(f3971,plain,
( ~ spl53_411
| ~ spl53_37
| spl53_307 ),
inference(avatar_split_clause,[],[f3508,f3159,f805,f3968]) ).
fof(f3159,plain,
( spl53_307
<=> ssItem(hd(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_307])]) ).
fof(f3508,plain,
( ~ ssItem(hd(tl(nil)))
| ~ spl53_37
| spl53_307 ),
inference(backward_demodulation,[],[f3161,f807]) ).
fof(f3161,plain,
( ~ ssItem(hd(tl(sK25)))
| spl53_307 ),
inference(avatar_component_clause,[],[f3159]) ).
fof(f3965,plain,
( ~ spl53_410
| ~ spl53_37
| spl53_291 ),
inference(avatar_split_clause,[],[f3494,f3041,f805,f3962]) ).
fof(f3041,plain,
( spl53_291
<=> ssList(app(cons(hd(sK25),nil),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_291])]) ).
fof(f3494,plain,
( ~ ssList(app(cons(hd(nil),nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_291 ),
inference(backward_demodulation,[],[f3042,f807]) ).
fof(f3042,plain,
( ~ ssList(app(cons(hd(sK25),nil),cons(hd(sK25),nil)))
| spl53_291 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f3960,plain,
( ~ spl53_409
| ~ spl53_37
| spl53_305 ),
inference(avatar_split_clause,[],[f3506,f3139,f805,f3957]) ).
fof(f3139,plain,
( spl53_305
<=> strictorderedP(sK0(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_305])]) ).
fof(f3506,plain,
( ~ strictorderedP(sK0(tl(nil)))
| ~ spl53_37
| spl53_305 ),
inference(backward_demodulation,[],[f3140,f807]) ).
fof(f3140,plain,
( ~ strictorderedP(sK0(tl(sK25)))
| spl53_305 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3955,plain,
( ~ spl53_408
| ~ spl53_37
| spl53_220 ),
inference(avatar_split_clause,[],[f3447,f2531,f805,f3952]) ).
fof(f3952,plain,
( spl53_408
<=> hd(cons(hd(nil),sK0(sK26))) = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_408])]) ).
fof(f2531,plain,
( spl53_220
<=> hd(sK25) = hd(cons(hd(sK25),sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_220])]) ).
fof(f3447,plain,
( hd(cons(hd(nil),sK0(sK26))) != hd(nil)
| ~ spl53_37
| spl53_220 ),
inference(backward_demodulation,[],[f2532,f807]) ).
fof(f2532,plain,
( hd(sK25) != hd(cons(hd(sK25),sK0(sK26)))
| spl53_220 ),
inference(avatar_component_clause,[],[f2531]) ).
fof(f3950,plain,
( spl53_407
| ~ spl53_37
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f3439,f2410,f805,f3947]) ).
fof(f3947,plain,
( spl53_407
<=> nil = cons(sK1(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_407])]) ).
fof(f2410,plain,
( spl53_209
<=> sK25 = cons(sK1(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_209])]) ).
fof(f3439,plain,
( nil = cons(sK1(nil),nil)
| ~ spl53_37
| ~ spl53_209 ),
inference(backward_demodulation,[],[f2412,f807]) ).
fof(f2412,plain,
( sK25 = cons(sK1(sK25),nil)
| ~ spl53_209 ),
inference(avatar_component_clause,[],[f2410]) ).
fof(f3945,plain,
( ~ spl53_406
| ~ spl53_37
| spl53_232 ),
inference(avatar_split_clause,[],[f3457,f2629,f805,f3942]) ).
fof(f3940,plain,
( ~ spl53_405
| ~ spl53_37
| spl53_285 ),
inference(avatar_split_clause,[],[f3489,f3009,f805,f3937]) ).
fof(f3489,plain,
( ~ ssList(app(nil,cons(hd(nil),nil)))
| ~ spl53_37
| spl53_285 ),
inference(backward_demodulation,[],[f3010,f807]) ).
fof(f3010,plain,
( ~ ssList(app(sK25,cons(hd(sK25),nil)))
| spl53_285 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3935,plain,
( ~ spl53_404
| ~ spl53_37
| spl53_294 ),
inference(avatar_split_clause,[],[f3497,f3077,f805,f3932]) ).
fof(f3932,plain,
( spl53_404
<=> ssList(app(app(tl(nil),cons(hd(nil),nil)),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_404])]) ).
fof(f3497,plain,
( ~ ssList(app(app(tl(nil),cons(hd(nil),nil)),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_294 ),
inference(backward_demodulation,[],[f3078,f807]) ).
fof(f3078,plain,
( ~ ssList(app(app(tl(sK25),cons(hd(sK25),nil)),cons(hd(sK25),nil)))
| spl53_294 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f3929,plain,
( ~ spl53_352
| ~ spl53_37
| spl53_284 ),
inference(avatar_split_clause,[],[f3488,f2987,f805,f3630]) ).
fof(f3630,plain,
( spl53_352
<=> nil = tl(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_352])]) ).
fof(f2987,plain,
( spl53_284
<=> tl(sK25) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_284])]) ).
fof(f3488,plain,
( nil != tl(nil)
| ~ spl53_37
| spl53_284 ),
inference(backward_demodulation,[],[f2989,f807]) ).
fof(f2989,plain,
( tl(sK25) != sK25
| spl53_284 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f3928,plain,
( ~ spl53_403
| ~ spl53_37
| spl53_306 ),
inference(avatar_split_clause,[],[f3507,f3155,f805,f3925]) ).
fof(f3155,plain,
( spl53_306
<=> tl(sK25) = tl(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_306])]) ).
fof(f3507,plain,
( tl(tl(nil)) != tl(nil)
| ~ spl53_37
| spl53_306 ),
inference(backward_demodulation,[],[f3157,f807]) ).
fof(f3157,plain,
( tl(sK25) != tl(tl(sK25))
| spl53_306 ),
inference(avatar_component_clause,[],[f3155]) ).
fof(f3922,plain,
( ~ spl53_402
| ~ spl53_37
| spl53_79 ),
inference(avatar_split_clause,[],[f3388,f1347,f805,f3919]) ).
fof(f3919,plain,
( spl53_402
<=> hd(tl(nil)) = sK2(tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_402])]) ).
fof(f1347,plain,
( spl53_79
<=> hd(tl(sK25)) = sK2(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_79])]) ).
fof(f3388,plain,
( hd(tl(nil)) != sK2(tl(nil))
| ~ spl53_37
| spl53_79 ),
inference(backward_demodulation,[],[f1348,f807]) ).
fof(f1348,plain,
( hd(tl(sK25)) != sK2(tl(sK25))
| spl53_79 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f3917,plain,
( ~ spl53_401
| ~ spl53_37
| spl53_280 ),
inference(avatar_split_clause,[],[f3485,f2948,f805,f3914]) ).
fof(f2948,plain,
( spl53_280
<=> ssList(app(tl(sK26),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_280])]) ).
fof(f3485,plain,
( ~ ssList(app(tl(sK26),tl(nil)))
| ~ spl53_37
| spl53_280 ),
inference(backward_demodulation,[],[f2949,f807]) ).
fof(f2949,plain,
( ~ ssList(app(tl(sK26),tl(sK25)))
| spl53_280 ),
inference(avatar_component_clause,[],[f2948]) ).
fof(f3912,plain,
( ~ spl53_400
| ~ spl53_37
| spl53_246 ),
inference(avatar_split_clause,[],[f3467,f2742,f805,f3909]) ).
fof(f3467,plain,
( app(tl(nil),cons(hd(nil),nil)) != app(nil,app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_246 ),
inference(backward_demodulation,[],[f2743,f807]) ).
fof(f2743,plain,
( app(tl(sK25),cons(hd(sK25),nil)) != app(nil,app(tl(sK25),cons(hd(sK25),nil)))
| spl53_246 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f3907,plain,
( ~ spl53_399
| ~ spl53_37
| spl53_80 ),
inference(avatar_split_clause,[],[f3389,f1352,f805,f3904]) ).
fof(f3389,plain,
( tl(nil) != tl(cons(sK29,tl(nil)))
| ~ spl53_37
| spl53_80 ),
inference(backward_demodulation,[],[f1353,f807]) ).
fof(f1353,plain,
( tl(sK25) != tl(cons(sK29,tl(sK25)))
| spl53_80 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f3902,plain,
( ~ spl53_398
| ~ spl53_37
| spl53_297 ),
inference(avatar_split_clause,[],[f3500,f3101,f805,f3899]) ).
fof(f3101,plain,
( spl53_297
<=> ssList(sK0(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_297])]) ).
fof(f3500,plain,
( ~ ssList(sK0(tl(nil)))
| ~ spl53_37
| spl53_297 ),
inference(backward_demodulation,[],[f3103,f807]) ).
fof(f3103,plain,
( ~ ssList(sK0(tl(sK25)))
| spl53_297 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3897,plain,
( ~ spl53_397
| ~ spl53_37
| spl53_248 ),
inference(avatar_split_clause,[],[f3468,f2752,f805,f3894]) ).
fof(f3894,plain,
( spl53_397
<=> app(tl(nil),cons(hd(nil),nil)) = tl(cons(sK29,app(tl(nil),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_397])]) ).
fof(f3468,plain,
( app(tl(nil),cons(hd(nil),nil)) != tl(cons(sK29,app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_248 ),
inference(backward_demodulation,[],[f2753,f807]) ).
fof(f2753,plain,
( tl(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) != app(tl(sK25),cons(hd(sK25),nil))
| spl53_248 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f3892,plain,
( ~ spl53_396
| ~ spl53_37
| spl53_86 ),
inference(avatar_split_clause,[],[f3393,f1402,f805,f3889]) ).
fof(f3889,plain,
( spl53_396
<=> app(nil,cons(hd(nil),nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_396])]) ).
fof(f1402,plain,
( spl53_86
<=> app(nil,cons(hd(sK25),nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_86])]) ).
fof(f3393,plain,
( app(nil,cons(hd(nil),nil)) != sK26
| ~ spl53_37
| spl53_86 ),
inference(backward_demodulation,[],[f1404,f807]) ).
fof(f1404,plain,
( app(nil,cons(hd(sK25),nil)) != sK26
| spl53_86 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f3886,plain,
( ~ spl53_370
| ~ spl53_37
| spl53_191 ),
inference(avatar_split_clause,[],[f3429,f2276,f805,f3730]) ).
fof(f3730,plain,
( spl53_370
<=> tl(cons(hd(nil),sK26)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_370])]) ).
fof(f2276,plain,
( spl53_191
<=> tl(cons(hd(sK25),sK26)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_191])]) ).
fof(f3429,plain,
( tl(cons(hd(nil),sK26)) != sK26
| ~ spl53_37
| spl53_191 ),
inference(backward_demodulation,[],[f2277,f807]) ).
fof(f2277,plain,
( tl(cons(hd(sK25),sK26)) != sK26
| spl53_191 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f3885,plain,
( ~ spl53_395
| ~ spl53_37
| spl53_242 ),
inference(avatar_split_clause,[],[f3464,f2699,f805,f3882]) ).
fof(f3882,plain,
( spl53_395
<=> hd(nil) = hd(app(nil,cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_395])]) ).
fof(f3464,plain,
( hd(nil) != hd(app(nil,cons(hd(nil),nil)))
| ~ spl53_37
| spl53_242 ),
inference(backward_demodulation,[],[f2700,f807]) ).
fof(f2700,plain,
( hd(sK25) != hd(app(sK25,cons(hd(sK25),nil)))
| spl53_242 ),
inference(avatar_component_clause,[],[f2699]) ).
fof(f3879,plain,
( spl53_394
| ~ spl53_37
| ~ spl53_256 ),
inference(avatar_split_clause,[],[f3475,f2791,f805,f3876]) ).
fof(f3871,plain,
( ~ spl53_393
| ~ spl53_37
| spl53_82 ),
inference(avatar_split_clause,[],[f3391,f1370,f805,f3868]) ).
fof(f3868,plain,
( spl53_393
<=> nil = sK46(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_393])]) ).
fof(f1370,plain,
( spl53_82
<=> nil = sK46(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_82])]) ).
fof(f3391,plain,
( nil != sK46(nil)
| ~ spl53_37
| spl53_82 ),
inference(backward_demodulation,[],[f1371,f807]) ).
fof(f1371,plain,
( nil != sK46(sK25)
| spl53_82 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f3865,plain,
( ~ spl53_343
| ~ spl53_34
| ~ spl53_37
| spl53_197 ),
inference(avatar_split_clause,[],[f3864,f2319,f805,f781,f3583]) ).
fof(f781,plain,
( spl53_34
<=> app(nil,sK26) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_34])]) ).
fof(f3864,plain,
( hd(nil) != hd(sK26)
| ~ spl53_34
| ~ spl53_37
| spl53_197 ),
inference(forward_demodulation,[],[f3432,f783]) ).
fof(f783,plain,
( app(nil,sK26) = sK26
| ~ spl53_34 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f3432,plain,
( hd(nil) != hd(app(nil,sK26))
| ~ spl53_37
| spl53_197 ),
inference(backward_demodulation,[],[f2320,f807]) ).
fof(f3862,plain,
( ~ spl53_392
| ~ spl53_37
| spl53_275 ),
inference(avatar_split_clause,[],[f3480,f2923,f805,f3859]) ).
fof(f3480,plain,
( ~ ssList(app(cons(hd(nil),nil),tl(nil)))
| ~ spl53_37
| spl53_275 ),
inference(backward_demodulation,[],[f2924,f807]) ).
fof(f2924,plain,
( ~ ssList(app(cons(hd(sK25),nil),tl(sK25)))
| spl53_275 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f3855,plain,
( spl53_391
| ~ spl53_37
| ~ spl53_295 ),
inference(avatar_split_clause,[],[f3498,f3093,f805,f3852]) ).
fof(f3850,plain,
( ~ spl53_347
| ~ spl53_37
| spl53_277 ),
inference(avatar_split_clause,[],[f3482,f2933,f805,f3605]) ).
fof(f2933,plain,
( spl53_277
<=> ssList(app(sK26,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_277])]) ).
fof(f3482,plain,
( ~ ssList(app(sK26,tl(nil)))
| ~ spl53_37
| spl53_277 ),
inference(backward_demodulation,[],[f2934,f807]) ).
fof(f2934,plain,
( ~ ssList(app(sK26,tl(sK25)))
| spl53_277 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f3849,plain,
( ~ spl53_390
| ~ spl53_37
| spl53_288 ),
inference(avatar_split_clause,[],[f3492,f3026,f805,f3846]) ).
fof(f3026,plain,
( spl53_288
<=> ssList(app(sK0(sK26),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_288])]) ).
fof(f3492,plain,
( ~ ssList(app(sK0(sK26),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_288 ),
inference(backward_demodulation,[],[f3027,f807]) ).
fof(f3027,plain,
( ~ ssList(app(sK0(sK26),cons(hd(sK25),nil)))
| spl53_288 ),
inference(avatar_component_clause,[],[f3026]) ).
fof(f3844,plain,
( ~ spl53_389
| ~ spl53_37
| spl53_89 ),
inference(avatar_split_clause,[],[f3396,f1432,f805,f3841]) ).
fof(f3396,plain,
( tl(cons(hd(nil),nil)) != sK46(cons(hd(nil),nil))
| ~ spl53_37
| spl53_89 ),
inference(backward_demodulation,[],[f1433,f807]) ).
fof(f1433,plain,
( tl(cons(hd(sK25),nil)) != sK46(cons(hd(sK25),nil))
| spl53_89 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f3839,plain,
( ~ spl53_388
| ~ spl53_37
| spl53_308 ),
inference(avatar_split_clause,[],[f3509,f3163,f805,f3836]) ).
fof(f3163,plain,
( spl53_308
<=> ssList(tl(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_308])]) ).
fof(f3509,plain,
( ~ ssList(tl(tl(nil)))
| ~ spl53_37
| spl53_308 ),
inference(backward_demodulation,[],[f3165,f807]) ).
fof(f3165,plain,
( ~ ssList(tl(tl(sK25)))
| spl53_308 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f3834,plain,
( spl53_387
| ~ spl53_37
| ~ spl53_283 ),
inference(avatar_split_clause,[],[f3487,f2981,f805,f3831]) ).
fof(f3829,plain,
( ~ spl53_386
| ~ spl53_37
| spl53_250 ),
inference(avatar_split_clause,[],[f3469,f2761,f805,f3826]) ).
fof(f3826,plain,
( spl53_386
<=> app(tl(nil),cons(hd(nil),nil)) = cons(hd(app(tl(nil),cons(hd(nil),nil))),tl(app(tl(nil),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_386])]) ).
fof(f3469,plain,
( app(tl(nil),cons(hd(nil),nil)) != cons(hd(app(tl(nil),cons(hd(nil),nil))),tl(app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_250 ),
inference(backward_demodulation,[],[f2762,f807]) ).
fof(f2762,plain,
( cons(hd(app(tl(sK25),cons(hd(sK25),nil))),tl(app(tl(sK25),cons(hd(sK25),nil)))) != app(tl(sK25),cons(hd(sK25),nil))
| spl53_250 ),
inference(avatar_component_clause,[],[f2761]) ).
fof(f3824,plain,
( ~ spl53_385
| ~ spl53_37
| spl53_302 ),
inference(avatar_split_clause,[],[f3503,f3124,f805,f3821]) ).
fof(f3124,plain,
( spl53_302
<=> lt(sK1(tl(sK25)),hd(sK0(tl(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_302])]) ).
fof(f3503,plain,
( ~ lt(sK1(tl(nil)),hd(sK0(tl(nil))))
| ~ spl53_37
| spl53_302 ),
inference(backward_demodulation,[],[f3125,f807]) ).
fof(f3125,plain,
( ~ lt(sK1(tl(sK25)),hd(sK0(tl(sK25))))
| spl53_302 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f3819,plain,
( ~ spl53_384
| ~ spl53_37
| spl53_227 ),
inference(avatar_split_clause,[],[f3452,f2581,f805,f3816]) ).
fof(f3452,plain,
( nil != tl(cons(hd(nil),nil))
| ~ spl53_37
| spl53_227 ),
inference(backward_demodulation,[],[f2582,f807]) ).
fof(f2582,plain,
( nil != tl(cons(hd(sK25),nil))
| spl53_227 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f3814,plain,
( ~ spl53_383
| ~ spl53_37
| spl53_211 ),
inference(avatar_split_clause,[],[f3441,f2420,f805,f3811]) ).
fof(f2420,plain,
( spl53_211
<=> leq(sK1(sK25),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_211])]) ).
fof(f3441,plain,
( ~ leq(sK1(nil),hd(nil))
| ~ spl53_37
| spl53_211 ),
inference(backward_demodulation,[],[f2422,f807]) ).
fof(f2422,plain,
( ~ leq(sK1(sK25),hd(nil))
| spl53_211 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f3809,plain,
( ~ spl53_382
| ~ spl53_37
| spl53_287 ),
inference(avatar_split_clause,[],[f3491,f3021,f805,f3806]) ).
fof(f3491,plain,
( ~ ssList(app(sK26,cons(hd(nil),nil)))
| ~ spl53_37
| spl53_287 ),
inference(backward_demodulation,[],[f3022,f807]) ).
fof(f3022,plain,
( ~ ssList(app(sK26,cons(hd(sK25),nil)))
| spl53_287 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f3802,plain,
( ~ spl53_381
| ~ spl53_37
| ~ spl53_157
| spl53_222 ),
inference(avatar_split_clause,[],[f3797,f2554,f2026,f805,f3799]) ).
fof(f3797,plain,
( cons(hd(nil),sK0(sK26)) != sK0(sK26)
| ~ spl53_37
| ~ spl53_157
| spl53_222 ),
inference(forward_demodulation,[],[f3448,f2028]) ).
fof(f3448,plain,
( app(nil,sK0(sK26)) != cons(hd(nil),sK0(sK26))
| ~ spl53_37
| spl53_222 ),
inference(backward_demodulation,[],[f2555,f807]) ).
fof(f3795,plain,
( ~ spl53_380
| ~ spl53_37
| spl53_171 ),
inference(avatar_split_clause,[],[f3426,f2153,f805,f3792]) ).
fof(f3426,plain,
( ~ ssItem(sK1(nil))
| ~ spl53_37
| spl53_171 ),
inference(backward_demodulation,[],[f2155,f807]) ).
fof(f2155,plain,
( ~ ssItem(sK1(sK25))
| spl53_171 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f3789,plain,
( ~ spl53_379
| ~ spl53_37
| spl53_239 ),
inference(avatar_split_clause,[],[f3462,f2683,f805,f3786]) ).
fof(f2683,plain,
( spl53_239
<=> tl(cons(hd(sK25),cons(hd(sK25),nil))) = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_239])]) ).
fof(f3462,plain,
( cons(hd(nil),nil) != tl(cons(hd(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_239 ),
inference(backward_demodulation,[],[f2684,f807]) ).
fof(f2684,plain,
( tl(cons(hd(sK25),cons(hd(sK25),nil))) != cons(hd(sK25),nil)
| spl53_239 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f3779,plain,
( ~ spl53_378
| ~ spl53_37
| spl53_253 ),
inference(avatar_split_clause,[],[f3472,f2776,f805,f3776]) ).
fof(f3776,plain,
( spl53_378
<=> sK2(app(tl(nil),cons(hd(nil),nil))) = hd(app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_378])]) ).
fof(f3472,plain,
( sK2(app(tl(nil),cons(hd(nil),nil))) != hd(app(tl(nil),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_253 ),
inference(backward_demodulation,[],[f2777,f807]) ).
fof(f2777,plain,
( sK2(app(tl(sK25),cons(hd(sK25),nil))) != hd(app(tl(sK25),cons(hd(sK25),nil)))
| spl53_253 ),
inference(avatar_component_clause,[],[f2776]) ).
fof(f3774,plain,
( spl53_377
| ~ spl53_37
| ~ spl53_76 ),
inference(avatar_split_clause,[],[f3385,f1333,f805,f3771]) ).
fof(f3769,plain,
( ~ spl53_376
| ~ spl53_37
| spl53_83 ),
inference(avatar_split_clause,[],[f3392,f1376,f805,f3766]) ).
fof(f3766,plain,
( spl53_376
<=> nil = app(nil,cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_376])]) ).
fof(f1376,plain,
( spl53_83
<=> nil = app(nil,cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_83])]) ).
fof(f3392,plain,
( nil != app(nil,cons(hd(nil),nil))
| ~ spl53_37
| spl53_83 ),
inference(backward_demodulation,[],[f1378,f807]) ).
fof(f1378,plain,
( nil != app(nil,cons(hd(sK25),nil))
| spl53_83 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f3764,plain,
( ~ spl53_375
| ~ spl53_37
| spl53_213 ),
inference(avatar_split_clause,[],[f3443,f2476,f805,f3761]) ).
fof(f3761,plain,
( spl53_375
<=> hd(nil) = hd(cons(hd(nil),cons(sK29,sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_375])]) ).
fof(f2476,plain,
( spl53_213
<=> hd(cons(hd(sK25),cons(sK29,sK26))) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_213])]) ).
fof(f3443,plain,
( hd(nil) != hd(cons(hd(nil),cons(sK29,sK26)))
| ~ spl53_37
| spl53_213 ),
inference(backward_demodulation,[],[f2477,f807]) ).
fof(f2477,plain,
( hd(cons(hd(sK25),cons(sK29,sK26))) != hd(sK25)
| spl53_213 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f3758,plain,
( ~ spl53_374
| ~ spl53_37
| spl53_299 ),
inference(avatar_split_clause,[],[f3501,f3110,f805,f3755]) ).
fof(f3110,plain,
( spl53_299
<=> leq(sK1(tl(sK25)),hd(sK0(tl(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_299])]) ).
fof(f3501,plain,
( ~ leq(sK1(tl(nil)),hd(sK0(tl(nil))))
| ~ spl53_37
| spl53_299 ),
inference(backward_demodulation,[],[f3111,f807]) ).
fof(f3111,plain,
( ~ leq(sK1(tl(sK25)),hd(sK0(tl(sK25))))
| spl53_299 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3753,plain,
( ~ spl53_373
| ~ spl53_37
| spl53_311 ),
inference(avatar_split_clause,[],[f3510,f3176,f805,f3750]) ).
fof(f3176,plain,
( spl53_311
<=> nil = tl(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_311])]) ).
fof(f3510,plain,
( nil != tl(tl(nil))
| ~ spl53_37
| spl53_311 ),
inference(backward_demodulation,[],[f3177,f807]) ).
fof(f3177,plain,
( nil != tl(tl(sK25))
| spl53_311 ),
inference(avatar_component_clause,[],[f3176]) ).
fof(f3747,plain,
( ~ spl53_372
| ~ spl53_37
| spl53_210 ),
inference(avatar_split_clause,[],[f3440,f2415,f805,f3744]) ).
fof(f2415,plain,
( spl53_210
<=> lt(sK1(sK25),hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_210])]) ).
fof(f3440,plain,
( ~ lt(sK1(nil),hd(nil))
| ~ spl53_37
| spl53_210 ),
inference(backward_demodulation,[],[f2417,f807]) ).
fof(f2417,plain,
( ~ lt(sK1(sK25),hd(nil))
| spl53_210 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f3742,plain,
( ~ spl53_371
| ~ spl53_37
| spl53_251 ),
inference(avatar_split_clause,[],[f3470,f2766,f805,f3739]) ).
fof(f3739,plain,
( spl53_371
<=> hd(cons(sK29,app(tl(nil),cons(hd(nil),nil)))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_371])]) ).
fof(f3470,plain,
( hd(cons(sK29,app(tl(nil),cons(hd(nil),nil)))) != sK29
| ~ spl53_37
| spl53_251 ),
inference(backward_demodulation,[],[f2767,f807]) ).
fof(f2767,plain,
( hd(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) != sK29
| spl53_251 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f3737,plain,
( ~ spl53_358
| ~ spl53_30
| ~ spl53_34
| ~ spl53_37
| spl53_225 ),
inference(avatar_split_clause,[],[f3736,f2570,f805,f781,f756,f3665]) ).
fof(f3736,plain,
( cons(hd(nil),sK26) != sK26
| ~ spl53_30
| ~ spl53_34
| ~ spl53_37
| spl53_225 ),
inference(forward_demodulation,[],[f3735,f783]) ).
fof(f3735,plain,
( cons(hd(nil),sK26) != app(nil,sK26)
| ~ spl53_30
| ~ spl53_37
| spl53_225 ),
inference(forward_demodulation,[],[f3451,f758]) ).
fof(f3451,plain,
( app(nil,app(sK26,nil)) != cons(hd(nil),app(sK26,nil))
| ~ spl53_37
| spl53_225 ),
inference(backward_demodulation,[],[f2571,f807]) ).
fof(f3733,plain,
( ~ spl53_370
| ~ spl53_30
| ~ spl53_37
| spl53_194 ),
inference(avatar_split_clause,[],[f3728,f2292,f805,f756,f3730]) ).
fof(f3728,plain,
( tl(cons(hd(nil),sK26)) != sK26
| ~ spl53_30
| ~ spl53_37
| spl53_194 ),
inference(forward_demodulation,[],[f3431,f758]) ).
fof(f3431,plain,
( app(sK26,nil) != tl(cons(hd(nil),app(sK26,nil)))
| ~ spl53_37
| spl53_194 ),
inference(backward_demodulation,[],[f2293,f807]) ).
fof(f2293,plain,
( app(sK26,sK25) != tl(cons(hd(sK25),app(sK26,sK25)))
| spl53_194 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f3727,plain,
( ~ spl53_369
| ~ spl53_37
| spl53_78 ),
inference(avatar_split_clause,[],[f3387,f1342,f805,f3724]) ).
fof(f3724,plain,
( spl53_369
<=> sK29 = hd(cons(sK29,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_369])]) ).
fof(f1342,plain,
( spl53_78
<=> hd(cons(sK29,tl(sK25))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_78])]) ).
fof(f3387,plain,
( sK29 != hd(cons(sK29,tl(nil)))
| ~ spl53_37
| spl53_78 ),
inference(backward_demodulation,[],[f1343,f807]) ).
fof(f1343,plain,
( hd(cons(sK29,tl(sK25))) != sK29
| spl53_78 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f3722,plain,
( ~ spl53_368
| ~ spl53_37
| spl53_276 ),
inference(avatar_split_clause,[],[f3481,f2928,f805,f3719]) ).
fof(f3481,plain,
( ~ ssList(app(nil,tl(nil)))
| ~ spl53_37
| spl53_276 ),
inference(backward_demodulation,[],[f2929,f807]) ).
fof(f2929,plain,
( ~ ssList(app(sK25,tl(sK25)))
| spl53_276 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f3717,plain,
( ~ spl53_367
| ~ spl53_37
| spl53_252 ),
inference(avatar_split_clause,[],[f3471,f2771,f805,f3714]) ).
fof(f3714,plain,
( spl53_367
<=> ssList(app(app(tl(nil),cons(hd(nil),nil)),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_367])]) ).
fof(f3471,plain,
( ~ ssList(app(app(tl(nil),cons(hd(nil),nil)),nil))
| ~ spl53_37
| spl53_252 ),
inference(backward_demodulation,[],[f2772,f807]) ).
fof(f2772,plain,
( ~ ssList(app(app(tl(sK25),cons(hd(sK25),nil)),sK25))
| spl53_252 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f3712,plain,
( ~ spl53_366
| ~ spl53_37
| spl53_244 ),
inference(avatar_split_clause,[],[f3465,f2732,f805,f3709]) ).
fof(f3705,plain,
( ~ spl53_335
| ~ spl53_37
| spl53_212 ),
inference(avatar_split_clause,[],[f3442,f2471,f805,f3540]) ).
fof(f3540,plain,
( spl53_335
<=> hd(nil) = hd(cons(hd(nil),sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_335])]) ).
fof(f2471,plain,
( spl53_212
<=> hd(cons(hd(sK25),sK26)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_212])]) ).
fof(f3442,plain,
( hd(nil) != hd(cons(hd(nil),sK26))
| ~ spl53_37
| spl53_212 ),
inference(backward_demodulation,[],[f2472,f807]) ).
fof(f2472,plain,
( hd(cons(hd(sK25),sK26)) != hd(sK25)
| spl53_212 ),
inference(avatar_component_clause,[],[f2471]) ).
fof(f3704,plain,
( ~ spl53_365
| ~ spl53_37
| ~ spl53_262
| spl53_268 ),
inference(avatar_split_clause,[],[f3699,f2869,f2839,f805,f3701]) ).
fof(f2839,plain,
( spl53_262
<=> tl(sK26) = app(nil,tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_262])]) ).
fof(f3699,plain,
( hd(nil) != hd(tl(sK26))
| ~ spl53_37
| ~ spl53_262
| spl53_268 ),
inference(forward_demodulation,[],[f3478,f2841]) ).
fof(f2841,plain,
( tl(sK26) = app(nil,tl(sK26))
| ~ spl53_262 ),
inference(avatar_component_clause,[],[f2839]) ).
fof(f3478,plain,
( hd(app(nil,tl(sK26))) != hd(nil)
| ~ spl53_37
| spl53_268 ),
inference(backward_demodulation,[],[f2870,f807]) ).
fof(f3698,plain,
( ~ spl53_364
| ~ spl53_37
| spl53_303 ),
inference(avatar_split_clause,[],[f3504,f3128,f805,f3695]) ).
fof(f3128,plain,
( spl53_303
<=> strictorderedP(tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_303])]) ).
fof(f3504,plain,
( ~ strictorderedP(tl(nil))
| ~ spl53_37
| spl53_303 ),
inference(backward_demodulation,[],[f3130,f807]) ).
fof(f3130,plain,
( ~ strictorderedP(tl(sK25))
| spl53_303 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f3693,plain,
( ~ spl53_363
| ~ spl53_37
| spl53_313 ),
inference(avatar_split_clause,[],[f3512,f3185,f805,f3690]) ).
fof(f3185,plain,
( spl53_313
<=> leq(hd(tl(sK25)),hd(tl(tl(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_313])]) ).
fof(f3512,plain,
( ~ leq(hd(tl(nil)),hd(tl(tl(nil))))
| ~ spl53_37
| spl53_313 ),
inference(backward_demodulation,[],[f3186,f807]) ).
fof(f3186,plain,
( ~ leq(hd(tl(sK25)),hd(tl(tl(sK25))))
| spl53_313 ),
inference(avatar_component_clause,[],[f3185]) ).
fof(f3688,plain,
( ~ spl53_362
| ~ spl53_37
| spl53_238 ),
inference(avatar_split_clause,[],[f3461,f2678,f805,f3685]) ).
fof(f3461,plain,
( ~ ssList(app(cons(hd(nil),nil),nil))
| ~ spl53_37
| spl53_238 ),
inference(backward_demodulation,[],[f2679,f807]) ).
fof(f2679,plain,
( ~ ssList(app(cons(hd(sK25),nil),sK25))
| spl53_238 ),
inference(avatar_component_clause,[],[f2678]) ).
fof(f3683,plain,
( ~ spl53_361
| ~ spl53_37
| spl53_304 ),
inference(avatar_split_clause,[],[f3505,f3133,f805,f3680]) ).
fof(f3133,plain,
( spl53_304
<=> totalorderedP(sK0(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_304])]) ).
fof(f3505,plain,
( ~ totalorderedP(sK0(tl(nil)))
| ~ spl53_37
| spl53_304 ),
inference(backward_demodulation,[],[f3134,f807]) ).
fof(f3134,plain,
( ~ totalorderedP(sK0(tl(sK25)))
| spl53_304 ),
inference(avatar_component_clause,[],[f3133]) ).
fof(f3678,plain,
( ~ spl53_360
| ~ spl53_37
| spl53_91 ),
inference(avatar_split_clause,[],[f3397,f1442,f805,f3675]) ).
fof(f1442,plain,
( spl53_91
<=> tl(cons(sK29,cons(hd(sK25),nil))) = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_91])]) ).
fof(f3397,plain,
( cons(hd(nil),nil) != tl(cons(sK29,cons(hd(nil),nil)))
| ~ spl53_37
| spl53_91 ),
inference(backward_demodulation,[],[f1443,f807]) ).
fof(f1443,plain,
( tl(cons(sK29,cons(hd(sK25),nil))) != cons(hd(sK25),nil)
| spl53_91 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f3673,plain,
( ~ spl53_359
| ~ spl53_37
| spl53_255 ),
inference(avatar_split_clause,[],[f3474,f2786,f805,f3670]) ).
fof(f3670,plain,
( spl53_359
<=> app(tl(nil),cons(hd(nil),nil)) = tl(cons(hd(nil),app(tl(nil),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_359])]) ).
fof(f3474,plain,
( app(tl(nil),cons(hd(nil),nil)) != tl(cons(hd(nil),app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_255 ),
inference(backward_demodulation,[],[f2787,f807]) ).
fof(f2787,plain,
( tl(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil)))) != app(tl(sK25),cons(hd(sK25),nil))
| spl53_255 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f3668,plain,
( ~ spl53_358
| ~ spl53_34
| ~ spl53_37
| spl53_224 ),
inference(avatar_split_clause,[],[f3663,f2565,f805,f781,f3665]) ).
fof(f3663,plain,
( cons(hd(nil),sK26) != sK26
| ~ spl53_34
| ~ spl53_37
| spl53_224 ),
inference(forward_demodulation,[],[f3450,f783]) ).
fof(f3450,plain,
( cons(hd(nil),sK26) != app(nil,sK26)
| ~ spl53_37
| spl53_224 ),
inference(backward_demodulation,[],[f2566,f807]) ).
fof(f3662,plain,
( ~ spl53_357
| ~ spl53_37
| spl53_230 ),
inference(avatar_split_clause,[],[f3455,f2599,f805,f3659]) ).
fof(f3455,plain,
( nil != sK46(cons(hd(nil),nil))
| ~ spl53_37
| spl53_230 ),
inference(backward_demodulation,[],[f2600,f807]) ).
fof(f2600,plain,
( nil != sK46(cons(hd(sK25),nil))
| spl53_230 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f3653,plain,
( ~ spl53_356
| ~ spl53_37
| spl53_312 ),
inference(avatar_split_clause,[],[f3511,f3180,f805,f3650]) ).
fof(f3180,plain,
( spl53_312
<=> totalorderedP(tl(tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_312])]) ).
fof(f3511,plain,
( ~ totalorderedP(tl(tl(nil)))
| ~ spl53_37
| spl53_312 ),
inference(backward_demodulation,[],[f3181,f807]) ).
fof(f3181,plain,
( ~ totalorderedP(tl(tl(sK25)))
| spl53_312 ),
inference(avatar_component_clause,[],[f3180]) ).
fof(f3648,plain,
( spl53_355
| ~ spl53_37
| ~ spl53_173 ),
inference(avatar_split_clause,[],[f3427,f2161,f805,f3645]) ).
fof(f2161,plain,
( spl53_173
<=> nil = sK0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_173])]) ).
fof(f3427,plain,
( nil = sK0(nil)
| ~ spl53_37
| ~ spl53_173 ),
inference(backward_demodulation,[],[f2163,f807]) ).
fof(f2163,plain,
( nil = sK0(sK25)
| ~ spl53_173 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f3643,plain,
( ~ spl53_354
| ~ spl53_37
| spl53_237 ),
inference(avatar_split_clause,[],[f3460,f2653,f805,f3640]) ).
fof(f3640,plain,
( spl53_354
<=> hd(sK26) = hd(app(sK26,tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_354])]) ).
fof(f2653,plain,
( spl53_237
<=> hd(sK26) = hd(app(sK26,tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_237])]) ).
fof(f3460,plain,
( hd(sK26) != hd(app(sK26,tl(nil)))
| ~ spl53_37
| spl53_237 ),
inference(backward_demodulation,[],[f2654,f807]) ).
fof(f2654,plain,
( hd(sK26) != hd(app(sK26,tl(sK25)))
| spl53_237 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f3638,plain,
( ~ spl53_353
| ~ spl53_37
| spl53_325 ),
inference(avatar_split_clause,[],[f3521,f3281,f805,f3635]) ).
fof(f3281,plain,
( spl53_325
<=> app(cons(sK29,nil),tl(sK25)) = cons(sK29,tl(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_325])]) ).
fof(f3521,plain,
( cons(sK29,tl(nil)) != app(cons(sK29,nil),tl(nil))
| ~ spl53_37
| spl53_325 ),
inference(backward_demodulation,[],[f3282,f807]) ).
fof(f3282,plain,
( app(cons(sK29,nil),tl(sK25)) != cons(sK29,tl(sK25))
| spl53_325 ),
inference(avatar_component_clause,[],[f3281]) ).
fof(f3633,plain,
( ~ spl53_352
| ~ spl53_37
| spl53_77 ),
inference(avatar_split_clause,[],[f3386,f1337,f805,f3630]) ).
fof(f1337,plain,
( spl53_77
<=> nil = tl(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_77])]) ).
fof(f3386,plain,
( nil != tl(nil)
| ~ spl53_37
| spl53_77 ),
inference(backward_demodulation,[],[f1338,f807]) ).
fof(f1338,plain,
( nil != tl(sK25)
| spl53_77 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f3628,plain,
( ~ spl53_351
| ~ spl53_37
| spl53_229 ),
inference(avatar_split_clause,[],[f3454,f2592,f805,f3625]) ).
fof(f3454,plain,
( hd(nil) != hd(cons(hd(nil),nil))
| ~ spl53_37
| spl53_229 ),
inference(backward_demodulation,[],[f2593,f807]) ).
fof(f2593,plain,
( hd(cons(hd(sK25),nil)) != hd(sK25)
| spl53_229 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f3623,plain,
( spl53_350
| ~ spl53_37
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3458,f2634,f805,f3620]) ).
fof(f3458,plain,
( cons(sK1(tl(nil)),sK0(tl(nil))) = tl(nil)
| ~ spl53_37
| ~ spl53_233 ),
inference(backward_demodulation,[],[f2636,f807]) ).
fof(f2636,plain,
( tl(sK25) = cons(sK1(tl(sK25)),sK0(tl(sK25)))
| ~ spl53_233 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f3618,plain,
( ~ spl53_349
| ~ spl53_37
| spl53_241 ),
inference(avatar_split_clause,[],[f3463,f2693,f805,f3615]) ).
fof(f3463,plain,
( cons(hd(nil),nil) != cons(sK1(cons(hd(nil),nil)),sK0(cons(hd(nil),nil)))
| ~ spl53_37
| spl53_241 ),
inference(backward_demodulation,[],[f2694,f807]) ).
fof(f2694,plain,
( cons(sK1(cons(hd(sK25),nil)),sK0(cons(hd(sK25),nil))) != cons(hd(sK25),nil)
| spl53_241 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f3613,plain,
( ~ spl53_348
| ~ spl53_37
| spl53_231 ),
inference(avatar_split_clause,[],[f3456,f2605,f805,f3610]) ).
fof(f2605,plain,
( spl53_231
<=> sK2(cons(hd(sK25),nil)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_231])]) ).
fof(f3456,plain,
( hd(nil) != sK2(cons(hd(nil),nil))
| ~ spl53_37
| spl53_231 ),
inference(backward_demodulation,[],[f2606,f807]) ).
fof(f2606,plain,
( sK2(cons(hd(sK25),nil)) != hd(sK25)
| spl53_231 ),
inference(avatar_component_clause,[],[f2605]) ).
fof(f3608,plain,
( ~ spl53_347
| ~ spl53_30
| ~ spl53_37
| spl53_278 ),
inference(avatar_split_clause,[],[f3603,f2938,f805,f756,f3605]) ).
fof(f2938,plain,
( spl53_278
<=> ssList(app(app(sK26,sK25),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_278])]) ).
fof(f3603,plain,
( ~ ssList(app(sK26,tl(nil)))
| ~ spl53_30
| ~ spl53_37
| spl53_278 ),
inference(forward_demodulation,[],[f3483,f758]) ).
fof(f3483,plain,
( ~ ssList(app(app(sK26,nil),tl(nil)))
| ~ spl53_37
| spl53_278 ),
inference(backward_demodulation,[],[f2939,f807]) ).
fof(f2939,plain,
( ~ ssList(app(app(sK26,sK25),tl(sK25)))
| spl53_278 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f3602,plain,
( ~ spl53_346
| ~ spl53_37
| spl53_245 ),
inference(avatar_split_clause,[],[f3466,f2737,f805,f3599]) ).
fof(f3599,plain,
( spl53_346
<=> app(tl(nil),cons(hd(nil),nil)) = cons(sK1(app(tl(nil),cons(hd(nil),nil))),sK0(app(tl(nil),cons(hd(nil),nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_346])]) ).
fof(f3466,plain,
( app(tl(nil),cons(hd(nil),nil)) != cons(sK1(app(tl(nil),cons(hd(nil),nil))),sK0(app(tl(nil),cons(hd(nil),nil))))
| ~ spl53_37
| spl53_245 ),
inference(backward_demodulation,[],[f2738,f807]) ).
fof(f2738,plain,
( cons(sK1(app(tl(sK25),cons(hd(sK25),nil))),sK0(app(tl(sK25),cons(hd(sK25),nil)))) != app(tl(sK25),cons(hd(sK25),nil))
| spl53_245 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f3596,plain,
( ~ spl53_345
| ~ spl53_37
| spl53_117 ),
inference(avatar_split_clause,[],[f3418,f1748,f805,f3593]) ).
fof(f3593,plain,
( spl53_345
<=> nil = app(sK26,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_345])]) ).
fof(f1748,plain,
( spl53_117
<=> nil = app(sK26,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_117])]) ).
fof(f3418,plain,
( nil != app(sK26,nil)
| ~ spl53_37
| spl53_117 ),
inference(backward_demodulation,[],[f1749,f807]) ).
fof(f1749,plain,
( nil != app(sK26,sK25)
| spl53_117 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f3591,plain,
( ~ spl53_344
| ~ spl53_37
| spl53_272 ),
inference(avatar_split_clause,[],[f3479,f2906,f805,f3588]) ).
fof(f2906,plain,
( spl53_272
<=> ssList(app(tl(sK25),tl(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_272])]) ).
fof(f3479,plain,
( ~ ssList(app(tl(nil),tl(nil)))
| ~ spl53_37
| spl53_272 ),
inference(backward_demodulation,[],[f2907,f807]) ).
fof(f2907,plain,
( ~ ssList(app(tl(sK25),tl(sK25)))
| spl53_272 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f3586,plain,
( ~ spl53_343
| ~ spl53_30
| ~ spl53_34
| ~ spl53_37
| spl53_198 ),
inference(avatar_split_clause,[],[f3581,f2324,f805,f781,f756,f3583]) ).
fof(f3581,plain,
( hd(nil) != hd(sK26)
| ~ spl53_30
| ~ spl53_34
| ~ spl53_37
| spl53_198 ),
inference(forward_demodulation,[],[f3580,f783]) ).
fof(f3580,plain,
( hd(nil) != hd(app(nil,sK26))
| ~ spl53_30
| ~ spl53_37
| spl53_198 ),
inference(forward_demodulation,[],[f3433,f758]) ).
fof(f3433,plain,
( hd(nil) != hd(app(nil,app(sK26,nil)))
| ~ spl53_37
| spl53_198 ),
inference(backward_demodulation,[],[f2325,f807]) ).
fof(f2325,plain,
( hd(app(sK25,app(sK26,sK25))) != hd(sK25)
| spl53_198 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f3579,plain,
( ~ spl53_342
| ~ spl53_37
| spl53_75 ),
inference(avatar_split_clause,[],[f3384,f1328,f805,f3576]) ).
fof(f3384,plain,
( app(nil,tl(nil)) != tl(nil)
| ~ spl53_37
| spl53_75 ),
inference(backward_demodulation,[],[f1329,f807]) ).
fof(f1329,plain,
( tl(sK25) != app(nil,tl(sK25))
| spl53_75 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f3574,plain,
( ~ spl53_341
| ~ spl53_37
| spl53_314 ),
inference(avatar_split_clause,[],[f3513,f3196,f805,f3571]) ).
fof(f3569,plain,
( spl53_340
| ~ spl53_37
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3459,f2644,f805,f3566]) ).
fof(f3564,plain,
( ~ spl53_339
| ~ spl53_37
| spl53_293 ),
inference(avatar_split_clause,[],[f3496,f3072,f805,f3561]) ).
fof(f3561,plain,
( spl53_339
<=> ssList(app(app(tl(nil),cons(hd(nil),nil)),tl(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_339])]) ).
fof(f3496,plain,
( ~ ssList(app(app(tl(nil),cons(hd(nil),nil)),tl(nil)))
| ~ spl53_37
| spl53_293 ),
inference(backward_demodulation,[],[f3073,f807]) ).
fof(f3073,plain,
( ~ ssList(app(app(tl(sK25),cons(hd(sK25),nil)),tl(sK25)))
| spl53_293 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3559,plain,
( ~ spl53_338
| ~ spl53_37
| spl53_219 ),
inference(avatar_split_clause,[],[f3446,f2526,f805,f3556]) ).
fof(f3556,plain,
( spl53_338
<=> tl(cons(hd(nil),sK0(sK26))) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_338])]) ).
fof(f2526,plain,
( spl53_219
<=> tl(cons(hd(sK25),sK0(sK26))) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_219])]) ).
fof(f3446,plain,
( tl(cons(hd(nil),sK0(sK26))) != sK0(sK26)
| ~ spl53_37
| spl53_219 ),
inference(backward_demodulation,[],[f2527,f807]) ).
fof(f2527,plain,
( tl(cons(hd(sK25),sK0(sK26))) != sK0(sK26)
| spl53_219 ),
inference(avatar_component_clause,[],[f2526]) ).
fof(f3554,plain,
( ~ spl53_337
| ~ spl53_37
| spl53_279 ),
inference(avatar_split_clause,[],[f3484,f2943,f805,f3551]) ).
fof(f3484,plain,
( ~ ssList(app(sK0(sK26),tl(nil)))
| ~ spl53_37
| spl53_279 ),
inference(backward_demodulation,[],[f2944,f807]) ).
fof(f2944,plain,
( ~ ssList(app(sK0(sK26),tl(sK25)))
| spl53_279 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f3548,plain,
( ~ spl53_336
| ~ spl53_37
| spl53_81 ),
inference(avatar_split_clause,[],[f3390,f1357,f805,f3545]) ).
fof(f1357,plain,
( spl53_81
<=> tl(sK25) = app(tl(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_81])]) ).
fof(f3390,plain,
( app(tl(nil),nil) != tl(nil)
| ~ spl53_37
| spl53_81 ),
inference(backward_demodulation,[],[f1358,f807]) ).
fof(f1358,plain,
( tl(sK25) != app(tl(sK25),nil)
| spl53_81 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f3543,plain,
( ~ spl53_335
| ~ spl53_30
| ~ spl53_37
| spl53_216 ),
inference(avatar_split_clause,[],[f3538,f2491,f805,f756,f3540]) ).
fof(f3538,plain,
( hd(nil) != hd(cons(hd(nil),sK26))
| ~ spl53_30
| ~ spl53_37
| spl53_216 ),
inference(forward_demodulation,[],[f3444,f758]) ).
fof(f3444,plain,
( hd(cons(hd(nil),app(sK26,nil))) != hd(nil)
| ~ spl53_37
| spl53_216 ),
inference(backward_demodulation,[],[f2492,f807]) ).
fof(f2492,plain,
( hd(cons(hd(sK25),app(sK26,sK25))) != hd(sK25)
| spl53_216 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f3537,plain,
( ~ spl53_334
| ~ spl53_37
| spl53_292 ),
inference(avatar_split_clause,[],[f3495,f3046,f805,f3534]) ).
fof(f3046,plain,
( spl53_292
<=> ssList(app(cons(sK29,sK26),cons(hd(sK25),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_292])]) ).
fof(f3495,plain,
( ~ ssList(app(cons(sK29,sK26),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_292 ),
inference(backward_demodulation,[],[f3047,f807]) ).
fof(f3047,plain,
( ~ ssList(app(cons(sK29,sK26),cons(hd(sK25),nil)))
| spl53_292 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f3532,plain,
( ~ spl53_333
| ~ spl53_37
| spl53_290 ),
inference(avatar_split_clause,[],[f3493,f3036,f805,f3529]) ).
fof(f3493,plain,
( ~ ssList(app(tl(sK26),cons(hd(nil),nil)))
| ~ spl53_37
| spl53_290 ),
inference(backward_demodulation,[],[f3037,f807]) ).
fof(f3037,plain,
( ~ ssList(app(tl(sK26),cons(hd(sK25),nil)))
| spl53_290 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3527,plain,
( ~ spl53_332
| ~ spl53_37
| ~ spl53_138
| spl53_223 ),
inference(avatar_split_clause,[],[f3522,f2559,f1907,f805,f3524]) ).
fof(f3522,plain,
( cons(hd(nil),cons(sK29,sK26)) != cons(sK29,sK26)
| ~ spl53_37
| ~ spl53_138
| spl53_223 ),
inference(forward_demodulation,[],[f3449,f1909]) ).
fof(f3449,plain,
( app(nil,cons(sK29,sK26)) != cons(hd(nil),cons(sK29,sK26))
| ~ spl53_37
| spl53_223 ),
inference(backward_demodulation,[],[f2560,f807]) ).
fof(f3366,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f1039,f846,f722,f805]) ).
fof(f3365,plain,
( ~ spl53_1
| ~ spl53_37
| ~ spl53_171
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f2437,f2410,f2153,f805,f604]) ).
fof(f2437,plain,
( ~ ssItem(sK1(sK25))
| nil != sK25
| ~ ssList(nil)
| ~ spl53_209 ),
inference(superposition,[],[f519,f2412]) ).
fof(f3364,plain,
( ~ spl53_331
| ~ spl53_104
| spl53_200 ),
inference(avatar_split_clause,[],[f3359,f2337,f1660,f3361]) ).
fof(f3359,plain,
( nil != cons(hd(sK25),tl(nil))
| ~ spl53_104
| spl53_200 ),
inference(forward_demodulation,[],[f2338,f1662]) ).
fof(f2338,plain,
( cons(hd(sK25),tl(app(sK25,sK25))) != app(sK25,sK25)
| spl53_200 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f3356,plain,
( ~ spl53_330
| ~ spl53_104
| spl53_274 ),
inference(avatar_split_clause,[],[f3327,f2918,f1660,f3353]) ).
fof(f3327,plain,
( ~ ssList(app(nil,tl(sK25)))
| ~ spl53_104
| spl53_274 ),
inference(backward_demodulation,[],[f2919,f1662]) ).
fof(f2919,plain,
( ~ ssList(app(app(sK25,sK25),tl(sK25)))
| spl53_274 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f3351,plain,
( spl53_326
| ~ spl53_104
| ~ spl53_321 ),
inference(avatar_split_clause,[],[f3328,f3260,f1660,f3290]) ).
fof(f3260,plain,
( spl53_321
<=> cons(sK29,app(sK25,sK25)) = app(cons(sK29,nil),app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_321])]) ).
fof(f3328,plain,
( app(cons(sK29,nil),nil) = cons(sK29,nil)
| ~ spl53_104
| ~ spl53_321 ),
inference(backward_demodulation,[],[f3262,f1662]) ).
fof(f3262,plain,
( cons(sK29,app(sK25,sK25)) = app(cons(sK29,nil),app(sK25,sK25))
| ~ spl53_321 ),
inference(avatar_component_clause,[],[f3260]) ).
fof(f3349,plain,
( spl53_329
| ~ spl53_104
| ~ spl53_199 ),
inference(avatar_split_clause,[],[f3322,f2329,f1660,f3346]) ).
fof(f3322,plain,
( hd(nil) = hd(sK25)
| ~ spl53_104
| ~ spl53_199 ),
inference(backward_demodulation,[],[f2331,f1662]) ).
fof(f3342,plain,
( ~ spl53_328
| ~ spl53_104
| spl53_201 ),
inference(avatar_split_clause,[],[f3323,f2342,f1660,f3339]) ).
fof(f3339,plain,
( spl53_328
<=> sK2(nil) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_328])]) ).
fof(f2342,plain,
( spl53_201
<=> sK2(app(sK25,sK25)) = hd(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_201])]) ).
fof(f3323,plain,
( sK2(nil) != hd(sK25)
| ~ spl53_104
| spl53_201 ),
inference(backward_demodulation,[],[f2343,f1662]) ).
fof(f2343,plain,
( sK2(app(sK25,sK25)) != hd(sK25)
| spl53_201 ),
inference(avatar_component_clause,[],[f2342]) ).
fof(f3333,plain,
( ~ spl53_327
| ~ spl53_104
| spl53_226 ),
inference(avatar_split_clause,[],[f3326,f2575,f1660,f3330]) ).
fof(f2575,plain,
( spl53_226
<=> app(sK25,sK25) = cons(hd(sK25),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_226])]) ).
fof(f3326,plain,
( nil != cons(hd(sK25),sK25)
| ~ spl53_104
| spl53_226 ),
inference(backward_demodulation,[],[f2576,f1662]) ).
fof(f2576,plain,
( app(sK25,sK25) != cons(hd(sK25),sK25)
| spl53_226 ),
inference(avatar_component_clause,[],[f2575]) ).
fof(f3306,plain,
( ~ spl53_1
| ~ spl53_171
| ~ spl53_37
| ~ spl53_93
| ~ spl53_173 ),
inference(avatar_split_clause,[],[f3305,f2161,f1484,f805,f2153,f604]) ).
fof(f3305,plain,
( nil != sK25
| ~ ssItem(sK1(sK25))
| ~ ssList(nil)
| ~ spl53_93
| ~ spl53_173 ),
inference(forward_demodulation,[],[f2149,f2163]) ).
fof(f3304,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f3303,f846,f722,f805]) ).
fof(f3303,plain,
( nil = sK25
| ~ spl53_25
| ~ spl53_42 ),
inference(backward_demodulation,[],[f724,f848]) ).
fof(f3302,plain,
( spl53_37
| spl53_57
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1290,f642,f1029,f805]) ).
fof(f1290,plain,
( sK2(sK25) = hd(sK25)
| nil = sK25
| ~ spl53_9 ),
inference(resolution,[],[f644,f352]) ).
fof(f352,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK2(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ( ssItem(sK2(X0))
& hd(X0) = sK2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f190,f227]) ).
fof(f227,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
=> ( ssItem(sK2(X0))
& hd(X0) = sK2(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ssItem(X1)
& hd(X0) = X1 ) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( ssItem(X1)
& hd(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f3301,plain,
( ~ spl53_201
| spl53_110
| ~ spl53_199 ),
inference(avatar_split_clause,[],[f3300,f2329,f1688,f2342]) ).
fof(f1688,plain,
( spl53_110
<=> hd(app(sK25,sK25)) = sK2(app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_110])]) ).
fof(f3300,plain,
( sK2(app(sK25,sK25)) != hd(sK25)
| spl53_110
| ~ spl53_199 ),
inference(forward_demodulation,[],[f1689,f2331]) ).
fof(f1689,plain,
( hd(app(sK25,sK25)) != sK2(app(sK25,sK25))
| spl53_110 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f3299,plain,
( ~ spl53_48
| ~ spl53_37
| spl53_45 ),
inference(avatar_split_clause,[],[f893,f871,f805,f901]) ).
fof(f893,plain,
( cons(hd(nil),nil) != app(nil,cons(hd(nil),nil))
| ~ spl53_37
| spl53_45 ),
inference(backward_demodulation,[],[f872,f807]) ).
fof(f872,plain,
( app(nil,cons(hd(sK25),nil)) != cons(hd(sK25),nil)
| spl53_45 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f3298,plain,
( spl53_42
| ~ spl53_25
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f821,f805,f722,f846]) ).
fof(f3297,plain,
( ~ spl53_21
| ~ spl53_1
| spl53_19 ),
inference(avatar_split_clause,[],[f809,f691,f604,f699]) ).
fof(f699,plain,
( spl53_21
<=> ssItem(hd(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_21])]) ).
fof(f691,plain,
( spl53_19
<=> ssList(cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_19])]) ).
fof(f809,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK25))
| spl53_19 ),
inference(resolution,[],[f491,f693]) ).
fof(f693,plain,
( ~ ssList(cons(hd(sK25),nil))
| spl53_19 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f491,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f3296,plain,
( ~ spl53_47
| ~ spl53_37
| spl53_46 ),
inference(avatar_split_clause,[],[f894,f876,f805,f896]) ).
fof(f876,plain,
( spl53_46
<=> cons(hd(sK25),nil) = app(cons(hd(sK25),nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_46])]) ).
fof(f894,plain,
( cons(hd(nil),nil) != app(cons(hd(nil),nil),nil)
| ~ spl53_37
| spl53_46 ),
inference(backward_demodulation,[],[f877,f807]) ).
fof(f877,plain,
( cons(hd(sK25),nil) != app(cons(hd(sK25),nil),nil)
| spl53_46 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f3295,plain,
( ~ spl53_200
| spl53_112
| ~ spl53_199 ),
inference(avatar_split_clause,[],[f3294,f2329,f1698,f2337]) ).
fof(f3294,plain,
( cons(hd(sK25),tl(app(sK25,sK25))) != app(sK25,sK25)
| spl53_112
| ~ spl53_199 ),
inference(forward_demodulation,[],[f1699,f2331]) ).
fof(f1699,plain,
( app(sK25,sK25) != cons(hd(app(sK25,sK25)),tl(app(sK25,sK25)))
| spl53_112 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f3293,plain,
( spl53_326
| ~ spl53_1
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f3219,f651,f604,f3290]) ).
fof(f3219,plain,
( app(cons(sK29,nil),nil) = cons(sK29,nil)
| ~ spl53_1
| ~ spl53_11 ),
inference(resolution,[],[f1553,f605]) ).
fof(f3288,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f880,f846,f722,f805]) ).
fof(f3287,plain,
( ~ spl53_171
| ~ spl53_1
| spl53_179
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f2429,f2410,f2188,f604,f2153]) ).
fof(f2188,plain,
( spl53_179
<=> ! [X0,X1] :
( cons(X0,X1) != sK25
| sK1(sK25) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_179])]) ).
fof(f2429,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) != sK25
| sK1(sK25) = X0
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK1(sK25)) )
| ~ spl53_209 ),
inference(superposition,[],[f413,f2412]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| X2 = X3
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1) ) ) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f3286,plain,
( spl53_37
| ~ spl53_173
| ~ spl53_176 ),
inference(avatar_split_clause,[],[f3285,f2174,f2161,f805]) ).
fof(f3285,plain,
( nil = sK25
| ~ spl53_173
| ~ spl53_176 ),
inference(forward_demodulation,[],[f2175,f2163]) ).
fof(f2175,plain,
( sK0(sK25) = sK25
| ~ spl53_176 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f3284,plain,
( spl53_325
| ~ spl53_11
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f3221,f703,f651,f3281]) ).
fof(f3221,plain,
( app(cons(sK29,nil),tl(sK25)) = cons(sK29,tl(sK25))
| ~ spl53_11
| ~ spl53_22 ),
inference(resolution,[],[f1553,f704]) ).
fof(f3279,plain,
( spl53_324
| ~ spl53_11
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f3216,f1615,f651,f3276]) ).
fof(f3276,plain,
( spl53_324
<=> cons(sK29,app(sK26,sK25)) = app(cons(sK29,nil),app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_324])]) ).
fof(f3216,plain,
( cons(sK29,app(sK26,sK25)) = app(cons(sK29,nil),app(sK26,sK25))
| ~ spl53_11
| ~ spl53_101 ),
inference(resolution,[],[f1553,f1617]) ).
fof(f3274,plain,
( spl53_323
| ~ spl53_11
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f3213,f1841,f651,f3271]) ).
fof(f3271,plain,
( spl53_323
<=> cons(sK29,cons(sK29,sK26)) = app(cons(sK29,nil),cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_323])]) ).
fof(f1841,plain,
( spl53_128
<=> ssList(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_128])]) ).
fof(f3213,plain,
( cons(sK29,cons(sK29,sK26)) = app(cons(sK29,nil),cons(sK29,sK26))
| ~ spl53_11
| ~ spl53_128 ),
inference(resolution,[],[f1553,f1842]) ).
fof(f1842,plain,
( ssList(cons(sK29,sK26))
| ~ spl53_128 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f3268,plain,
( spl53_322
| ~ spl53_11
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f3224,f1944,f651,f3265]) ).
fof(f3265,plain,
( spl53_322
<=> cons(sK29,sK0(sK26)) = app(cons(sK29,nil),sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_322])]) ).
fof(f1944,plain,
( spl53_143
<=> ssList(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_143])]) ).
fof(f3224,plain,
( cons(sK29,sK0(sK26)) = app(cons(sK29,nil),sK0(sK26))
| ~ spl53_11
| ~ spl53_143 ),
inference(resolution,[],[f1553,f1945]) ).
fof(f1945,plain,
( ssList(sK0(sK26))
| ~ spl53_143 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f3263,plain,
( spl53_321
| ~ spl53_11
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f3215,f1609,f651,f3260]) ).
fof(f3215,plain,
( cons(sK29,app(sK25,sK25)) = app(cons(sK29,nil),app(sK25,sK25))
| ~ spl53_11
| ~ spl53_100 ),
inference(resolution,[],[f1553,f1611]) ).
fof(f3258,plain,
( spl53_320
| ~ spl53_11
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f3214,f691,f651,f3255]) ).
fof(f3214,plain,
( cons(sK29,cons(hd(sK25),nil)) = app(cons(sK29,nil),cons(hd(sK25),nil))
| ~ spl53_11
| ~ spl53_19 ),
inference(resolution,[],[f1553,f692]) ).
fof(f692,plain,
( ssList(cons(hd(sK25),nil))
| ~ spl53_19 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f3253,plain,
( spl53_319
| ~ spl53_11
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f3222,f2234,f651,f3250]) ).
fof(f3250,plain,
( spl53_319
<=> app(cons(sK29,nil),tl(sK26)) = cons(sK29,tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_319])]) ).
fof(f3222,plain,
( app(cons(sK29,nil),tl(sK26)) = cons(sK29,tl(sK26))
| ~ spl53_11
| ~ spl53_185 ),
inference(resolution,[],[f1553,f2235]) ).
fof(f3248,plain,
( spl53_318
| ~ spl53_11
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f3226,f713,f651,f3245]) ).
fof(f3245,plain,
( spl53_318
<=> cons(sK29,sK26) = app(cons(sK29,nil),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_318])]) ).
fof(f713,plain,
( spl53_24
<=> ssList(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_24])]) ).
fof(f3226,plain,
( cons(sK29,sK26) = app(cons(sK29,nil),sK26)
| ~ spl53_11
| ~ spl53_24 ),
inference(resolution,[],[f1553,f715]) ).
fof(f715,plain,
( ssList(sK26)
| ~ spl53_24 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f3243,plain,
( spl53_317
| ~ spl53_9
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f3225,f651,f642,f3240]) ).
fof(f3225,plain,
( app(cons(sK29,nil),sK25) = cons(sK29,sK25)
| ~ spl53_9
| ~ spl53_11 ),
inference(resolution,[],[f1553,f644]) ).
fof(f3238,plain,
( spl53_316
| ~ spl53_1
| ~ spl53_11
| ~ spl53_71 ),
inference(avatar_split_clause,[],[f3233,f1286,f651,f604,f3235]) ).
fof(f1286,plain,
( spl53_71
<=> app(cons(sK29,nil),nil) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_71])]) ).
fof(f3233,plain,
( sK25 = cons(sK29,nil)
| ~ spl53_1
| ~ spl53_11
| ~ spl53_71 ),
inference(forward_demodulation,[],[f3219,f1288]) ).
fof(f1288,plain,
( app(cons(sK29,nil),nil) = sK25
| ~ spl53_71 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f3232,plain,
( spl53_315
| ~ spl53_11
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f3218,f687,f651,f3229]) ).
fof(f3218,plain,
( app(cons(sK29,nil),app(tl(sK25),cons(hd(sK25),nil))) = cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_11
| ~ spl53_18 ),
inference(resolution,[],[f1553,f688]) ).
fof(f3201,plain,
( spl53_77
| ~ spl53_22
| spl53_295 ),
inference(avatar_split_clause,[],[f3200,f3093,f703,f1337]) ).
fof(f3200,plain,
( ~ ssList(tl(sK25))
| nil = tl(sK25)
| spl53_295 ),
inference(resolution,[],[f3095,f346]) ).
fof(f346,plain,
! [X0] :
( ssItem(sK1(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f3199,plain,
( ~ spl53_314
| ~ spl53_45
| spl53_86 ),
inference(avatar_split_clause,[],[f3191,f1402,f871,f3196]) ).
fof(f3191,plain,
( cons(hd(sK25),nil) != sK26
| ~ spl53_45
| spl53_86 ),
inference(superposition,[],[f1404,f873]) ).
fof(f3190,plain,
( ~ spl53_308
| ~ spl53_307
| spl53_309
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3145,f2644,f3168,f3159,f3163]) ).
fof(f3168,plain,
( spl53_309
<=> ! [X6,X7] :
( tl(sK25) != cons(X6,X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| tl(tl(sK25)) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_309])]) ).
fof(f3145,plain,
( ! [X4,X5] :
( tl(tl(sK25)) = X5
| ~ ssList(X5)
| ~ ssItem(hd(tl(sK25)))
| tl(sK25) != cons(X4,X5)
| ~ ssItem(X4)
| ~ ssList(tl(tl(sK25))) )
| ~ spl53_235 ),
inference(superposition,[],[f414,f2646]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| X0 = X1
| ~ ssItem(X2) ),
inference(cnf_transformation,[],[f165]) ).
fof(f3189,plain,
( ~ spl53_307
| spl53_310
| ~ spl53_308
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3143,f2644,f3163,f3172,f3159]) ).
fof(f3172,plain,
( spl53_310
<=> ! [X2,X3] :
( ~ ssItem(X2)
| hd(tl(sK25)) = X2
| tl(sK25) != cons(X2,X3)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_310])]) ).
fof(f3143,plain,
( ! [X0,X1] :
( ~ ssList(tl(tl(sK25)))
| ~ ssItem(X0)
| cons(X0,X1) != tl(sK25)
| hd(tl(sK25)) = X0
| ~ ssItem(hd(tl(sK25)))
| ~ ssList(X1) )
| ~ spl53_235 ),
inference(superposition,[],[f413,f2646]) ).
fof(f3188,plain,
( spl53_313
| ~ spl53_307
| ~ spl53_282
| ~ spl53_308
| spl53_311
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3152,f2644,f3176,f3163,f2974,f3159,f3185]) ).
fof(f3152,plain,
( nil = tl(tl(sK25))
| ~ ssList(tl(tl(sK25)))
| ~ totalorderedP(tl(sK25))
| ~ ssItem(hd(tl(sK25)))
| leq(hd(tl(sK25)),hd(tl(tl(sK25))))
| ~ spl53_235 ),
inference(superposition,[],[f541,f2646]) ).
fof(f541,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| leq(X0,hd(X1))
| ~ ssItem(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X1
| ( totalorderedP(X1)
& nil != X1
& leq(X0,hd(X1)) )
| ~ totalorderedP(cons(X0,X1)) )
& ( totalorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ totalorderedP(X1)
| nil = X1
| ~ leq(X0,hd(X1)) ) ) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f336]) ).
fof(f336,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X1
| ( totalorderedP(X1)
& nil != X1
& leq(X0,hd(X1)) )
| ~ totalorderedP(cons(X0,X1)) )
& ( totalorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ totalorderedP(X1)
| nil = X1
| ~ leq(X0,hd(X1)) ) ) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X1
| ( totalorderedP(X1)
& nil != X1
& leq(X0,hd(X1)) ) )
<=> totalorderedP(cons(X0,X1)) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
| ( totalorderedP(X1)
& nil != X1
& leq(X0,hd(X1)) ) )
<=> totalorderedP(cons(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f3183,plain,
( spl53_311
| ~ spl53_307
| ~ spl53_282
| spl53_312
| ~ spl53_308
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3153,f2644,f3163,f3180,f2974,f3159,f3176]) ).
fof(f3153,plain,
( ~ ssList(tl(tl(sK25)))
| totalorderedP(tl(tl(sK25)))
| ~ totalorderedP(tl(sK25))
| ~ ssItem(hd(tl(sK25)))
| nil = tl(tl(sK25))
| ~ spl53_235 ),
inference(superposition,[],[f543,f2646]) ).
fof(f543,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f337]) ).
fof(f3174,plain,
( ~ spl53_308
| ~ spl53_307
| spl53_310
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3144,f2644,f3172,f3159,f3163]) ).
fof(f3144,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssItem(hd(tl(sK25)))
| ~ ssList(X3)
| tl(sK25) != cons(X2,X3)
| ~ ssList(tl(tl(sK25)))
| hd(tl(sK25)) = X2 )
| ~ spl53_235 ),
inference(superposition,[],[f413,f2646]) ).
fof(f3170,plain,
( ~ spl53_308
| ~ spl53_307
| spl53_309
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3146,f2644,f3168,f3159,f3163]) ).
fof(f3146,plain,
( ! [X6,X7] :
( tl(sK25) != cons(X6,X7)
| ~ ssItem(hd(tl(sK25)))
| tl(tl(sK25)) = X7
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssList(tl(tl(sK25))) )
| ~ spl53_235 ),
inference(superposition,[],[f414,f2646]) ).
fof(f3166,plain,
( ~ spl53_306
| ~ spl53_307
| ~ spl53_308
| ~ spl53_235 ),
inference(avatar_split_clause,[],[f3150,f2644,f3163,f3159,f3155]) ).
fof(f3150,plain,
( ~ ssList(tl(tl(sK25)))
| ~ ssItem(hd(tl(sK25)))
| tl(sK25) != tl(tl(sK25))
| ~ spl53_235 ),
inference(superposition,[],[f498,f2646]) ).
fof(f498,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f3142,plain,
( ~ spl53_303
| ~ spl53_295
| ~ spl53_297
| spl53_305
| spl53_300
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3085,f2634,f3114,f3139,f3101,f3093,f3128]) ).
fof(f3085,plain,
( nil = sK0(tl(sK25))
| strictorderedP(sK0(tl(sK25)))
| ~ ssList(sK0(tl(sK25)))
| ~ ssItem(sK1(tl(sK25)))
| ~ strictorderedP(tl(sK25))
| ~ spl53_233 ),
inference(superposition,[],[f466,f2636]) ).
fof(f466,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| nil = X1
| strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( nil = X1
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1) )
& nil != X1 ) )
& ( ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( nil = X1
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1) )
& nil != X1 ) )
& ( ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f3137,plain,
( ~ spl53_297
| ~ spl53_295
| spl53_301
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3082,f2634,f3119,f3093,f3101]) ).
fof(f3119,plain,
( spl53_301
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) != tl(sK25)
| ~ ssList(X1)
| sK1(tl(sK25)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_301])]) ).
fof(f3082,plain,
( ! [X2,X3] :
( sK1(tl(sK25)) = X2
| ~ ssItem(sK1(tl(sK25)))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(sK0(tl(sK25)))
| tl(sK25) != cons(X2,X3) )
| ~ spl53_233 ),
inference(superposition,[],[f413,f2636]) ).
fof(f3136,plain,
( ~ spl53_282
| ~ spl53_295
| ~ spl53_297
| spl53_300
| spl53_304
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3091,f2634,f3133,f3114,f3101,f3093,f2974]) ).
fof(f3091,plain,
( totalorderedP(sK0(tl(sK25)))
| nil = sK0(tl(sK25))
| ~ ssList(sK0(tl(sK25)))
| ~ ssItem(sK1(tl(sK25)))
| ~ totalorderedP(tl(sK25))
| ~ spl53_233 ),
inference(superposition,[],[f543,f2636]) ).
fof(f3131,plain,
( spl53_302
| ~ spl53_303
| ~ spl53_295
| spl53_300
| ~ spl53_297
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3086,f2634,f3101,f3114,f3093,f3128,f3124]) ).
fof(f3086,plain,
( ~ ssList(sK0(tl(sK25)))
| nil = sK0(tl(sK25))
| ~ ssItem(sK1(tl(sK25)))
| ~ strictorderedP(tl(sK25))
| lt(sK1(tl(sK25)),hd(sK0(tl(sK25))))
| ~ spl53_233 ),
inference(superposition,[],[f467,f2636]) ).
fof(f467,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| lt(X0,hd(X1)) ),
inference(cnf_transformation,[],[f304]) ).
fof(f3122,plain,
( ~ spl53_295
| ~ spl53_297
| spl53_298
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3084,f2634,f3106,f3101,f3093]) ).
fof(f3106,plain,
( spl53_298
<=> ! [X4,X5] :
( ~ ssItem(X4)
| tl(sK25) != cons(X4,X5)
| ~ ssList(X5)
| sK0(tl(sK25)) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_298])]) ).
fof(f3084,plain,
( ! [X6,X7] :
( sK0(tl(sK25)) = X7
| ~ ssList(sK0(tl(sK25)))
| ~ ssItem(sK1(tl(sK25)))
| ~ ssList(X7)
| tl(sK25) != cons(X6,X7)
| ~ ssItem(X6) )
| ~ spl53_233 ),
inference(superposition,[],[f414,f2636]) ).
fof(f3121,plain,
( spl53_301
| ~ spl53_297
| ~ spl53_295
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3081,f2634,f3093,f3101,f3119]) ).
fof(f3081,plain,
( ! [X0,X1] :
( ~ ssItem(sK1(tl(sK25)))
| ~ ssList(sK0(tl(sK25)))
| ~ ssItem(X0)
| sK1(tl(sK25)) = X0
| ~ ssList(X1)
| cons(X0,X1) != tl(sK25) )
| ~ spl53_233 ),
inference(superposition,[],[f413,f2636]) ).
fof(f3117,plain,
( ~ spl53_295
| ~ spl53_282
| ~ spl53_297
| spl53_299
| spl53_300
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3090,f2634,f3114,f3110,f3101,f2974,f3093]) ).
fof(f3090,plain,
( nil = sK0(tl(sK25))
| leq(sK1(tl(sK25)),hd(sK0(tl(sK25))))
| ~ ssList(sK0(tl(sK25)))
| ~ totalorderedP(tl(sK25))
| ~ ssItem(sK1(tl(sK25)))
| ~ spl53_233 ),
inference(superposition,[],[f541,f2636]) ).
fof(f3108,plain,
( ~ spl53_297
| spl53_298
| ~ spl53_295
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3083,f2634,f3093,f3106,f3101]) ).
fof(f3083,plain,
( ! [X4,X5] :
( ~ ssItem(sK1(tl(sK25)))
| ~ ssItem(X4)
| ~ ssList(X5)
| sK0(tl(sK25)) = X5
| tl(sK25) != cons(X4,X5)
| ~ ssList(sK0(tl(sK25))) )
| ~ spl53_233 ),
inference(superposition,[],[f414,f2636]) ).
fof(f3104,plain,
( ~ spl53_295
| ~ spl53_296
| ~ spl53_297
| ~ spl53_233 ),
inference(avatar_split_clause,[],[f3088,f2634,f3101,f3097,f3093]) ).
fof(f3088,plain,
( ~ ssList(sK0(tl(sK25)))
| tl(sK25) != sK0(tl(sK25))
| ~ ssItem(sK1(tl(sK25)))
| ~ spl53_233 ),
inference(superposition,[],[f498,f2636]) ).
fof(f3080,plain,
( spl53_294
| ~ spl53_18
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f3068,f691,f687,f3077]) ).
fof(f3068,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),cons(hd(sK25),nil)))
| ~ spl53_18
| ~ spl53_19 ),
inference(resolution,[],[f688,f1416]) ).
fof(f1416,plain,
( ! [X0] :
( ~ ssList(X0)
| ssList(app(X0,cons(hd(sK25),nil))) )
| ~ spl53_19 ),
inference(resolution,[],[f692,f373]) ).
fof(f373,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f3075,plain,
( spl53_293
| ~ spl53_18
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f3067,f703,f687,f3072]) ).
fof(f3067,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),tl(sK25)))
| ~ spl53_18
| ~ spl53_22 ),
inference(resolution,[],[f688,f1321]) ).
fof(f1321,plain,
( ! [X0] :
( ~ ssList(X0)
| ssList(app(X0,tl(sK25))) )
| ~ spl53_22 ),
inference(resolution,[],[f704,f373]) ).
fof(f3049,plain,
( spl53_292
| ~ spl53_19
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2993,f1841,f691,f3046]) ).
fof(f2993,plain,
( ssList(app(cons(sK29,sK26),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_128 ),
inference(resolution,[],[f1416,f1842]) ).
fof(f3044,plain,
( spl53_291
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f2994,f691,f3041]) ).
fof(f2994,plain,
( ssList(app(cons(hd(sK25),nil),cons(hd(sK25),nil)))
| ~ spl53_19 ),
inference(resolution,[],[f1416,f692]) ).
fof(f3039,plain,
( spl53_290
| ~ spl53_19
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f3001,f2234,f691,f3036]) ).
fof(f3001,plain,
( ssList(app(tl(sK26),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_185 ),
inference(resolution,[],[f1416,f2235]) ).
fof(f3034,plain,
( spl53_289
| ~ spl53_19
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2995,f1609,f691,f3031]) ).
fof(f2995,plain,
( ssList(app(app(sK25,sK25),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_100 ),
inference(resolution,[],[f1416,f1611]) ).
fof(f3029,plain,
( spl53_288
| ~ spl53_19
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f3003,f1944,f691,f3026]) ).
fof(f3003,plain,
( ssList(app(sK0(sK26),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_143 ),
inference(resolution,[],[f1416,f1945]) ).
fof(f3024,plain,
( spl53_287
| ~ spl53_19
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f3005,f713,f691,f3021]) ).
fof(f3005,plain,
( ssList(app(sK26,cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_24 ),
inference(resolution,[],[f1416,f715]) ).
fof(f3018,plain,
( spl53_286
| ~ spl53_19
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2996,f1615,f691,f3015]) ).
fof(f2996,plain,
( ssList(app(app(sK26,sK25),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_101 ),
inference(resolution,[],[f1416,f1617]) ).
fof(f3012,plain,
( spl53_285
| ~ spl53_9
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f3004,f691,f642,f3009]) ).
fof(f3004,plain,
( ssList(app(sK25,cons(hd(sK25),nil)))
| ~ spl53_9
| ~ spl53_19 ),
inference(resolution,[],[f1416,f644]) ).
fof(f3007,plain,
( spl53_18
| ~ spl53_19
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f3000,f703,f691,f687]) ).
fof(f3000,plain,
( ssList(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_22 ),
inference(resolution,[],[f1416,f704]) ).
fof(f2990,plain,
( ~ spl53_22
| ~ spl53_284
| ~ spl53_21
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2965,f2586,f699,f2987,f703]) ).
fof(f2965,plain,
( ~ ssItem(hd(sK25))
| tl(sK25) != sK25
| ~ ssList(tl(sK25))
| ~ spl53_228 ),
inference(superposition,[],[f498,f2588]) ).
fof(f2985,plain,
( ~ spl53_21
| ~ spl53_22
| spl53_125
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2958,f2586,f1820,f703,f699]) ).
fof(f1820,plain,
( spl53_125
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(sK25) = X0
| ~ ssList(X1)
| cons(X0,X1) != sK25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_125])]) ).
fof(f2958,plain,
( ! [X0,X1] :
( hd(sK25) = X0
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK25
| ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25)) )
| ~ spl53_228 ),
inference(superposition,[],[f413,f2588]) ).
fof(f2984,plain,
( spl53_283
| ~ spl53_21
| ~ spl53_22
| ~ spl53_126
| spl53_77
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2967,f2586,f1337,f1825,f703,f699,f2981]) ).
fof(f1825,plain,
( spl53_126
<=> totalorderedP(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_126])]) ).
fof(f2967,plain,
( nil = tl(sK25)
| ~ totalorderedP(sK25)
| ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| leq(hd(sK25),hd(tl(sK25)))
| ~ spl53_228 ),
inference(superposition,[],[f541,f2588]) ).
fof(f2979,plain,
( spl53_125
| ~ spl53_21
| ~ spl53_22
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2959,f2586,f703,f699,f1820]) ).
fof(f2959,plain,
( ! [X2,X3] :
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| hd(sK25) = X2
| cons(X2,X3) != sK25
| ~ ssList(X3)
| ~ ssItem(X2) )
| ~ spl53_228 ),
inference(superposition,[],[f413,f2588]) ).
fof(f2978,plain,
( ~ spl53_21
| ~ spl53_22
| spl53_281
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2960,f2586,f2970,f703,f699]) ).
fof(f2970,plain,
( spl53_281
<=> ! [X6,X7] :
( tl(sK25) = X7
| ~ ssList(X7)
| ~ ssItem(X6)
| sK25 != cons(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_281])]) ).
fof(f2960,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| sK25 != cons(X4,X5)
| ~ ssItem(X4)
| tl(sK25) = X5
| ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25)) )
| ~ spl53_228 ),
inference(superposition,[],[f414,f2588]) ).
fof(f2977,plain,
( spl53_77
| spl53_282
| ~ spl53_126
| ~ spl53_22
| ~ spl53_21
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2968,f2586,f699,f703,f1825,f2974,f1337]) ).
fof(f2968,plain,
( ~ ssItem(hd(sK25))
| ~ ssList(tl(sK25))
| ~ totalorderedP(sK25)
| totalorderedP(tl(sK25))
| nil = tl(sK25)
| ~ spl53_228 ),
inference(superposition,[],[f543,f2588]) ).
fof(f2972,plain,
( ~ spl53_21
| ~ spl53_22
| spl53_281
| ~ spl53_228 ),
inference(avatar_split_clause,[],[f2961,f2586,f2970,f703,f699]) ).
fof(f2961,plain,
( ! [X6,X7] :
( tl(sK25) = X7
| ~ ssItem(X6)
| ~ ssList(tl(sK25))
| ~ ssList(X7)
| ~ ssItem(hd(sK25))
| sK25 != cons(X6,X7) )
| ~ spl53_228 ),
inference(superposition,[],[f414,f2588]) ).
fof(f2951,plain,
( spl53_280
| ~ spl53_22
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2899,f2234,f703,f2948]) ).
fof(f2899,plain,
( ssList(app(tl(sK26),tl(sK25)))
| ~ spl53_22
| ~ spl53_185 ),
inference(resolution,[],[f1321,f2235]) ).
fof(f2946,plain,
( spl53_279
| ~ spl53_22
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2901,f1944,f703,f2943]) ).
fof(f2901,plain,
( ssList(app(sK0(sK26),tl(sK25)))
| ~ spl53_22
| ~ spl53_143 ),
inference(resolution,[],[f1321,f1945]) ).
fof(f2941,plain,
( spl53_278
| ~ spl53_22
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2894,f1615,f703,f2938]) ).
fof(f2894,plain,
( ssList(app(app(sK26,sK25),tl(sK25)))
| ~ spl53_22
| ~ spl53_101 ),
inference(resolution,[],[f1321,f1617]) ).
fof(f2936,plain,
( spl53_277
| ~ spl53_22
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f2903,f713,f703,f2933]) ).
fof(f2903,plain,
( ssList(app(sK26,tl(sK25)))
| ~ spl53_22
| ~ spl53_24 ),
inference(resolution,[],[f1321,f715]) ).
fof(f2931,plain,
( spl53_276
| ~ spl53_9
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2902,f703,f642,f2928]) ).
fof(f2902,plain,
( ssList(app(sK25,tl(sK25)))
| ~ spl53_9
| ~ spl53_22 ),
inference(resolution,[],[f1321,f644]) ).
fof(f2926,plain,
( spl53_275
| ~ spl53_19
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2892,f703,f691,f2923]) ).
fof(f2892,plain,
( ssList(app(cons(hd(sK25),nil),tl(sK25)))
| ~ spl53_19
| ~ spl53_22 ),
inference(resolution,[],[f1321,f692]) ).
fof(f2921,plain,
( spl53_274
| ~ spl53_22
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2893,f1609,f703,f2918]) ).
fof(f2893,plain,
( ssList(app(app(sK25,sK25),tl(sK25)))
| ~ spl53_22
| ~ spl53_100 ),
inference(resolution,[],[f1321,f1611]) ).
fof(f2915,plain,
( spl53_273
| ~ spl53_22
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2891,f1841,f703,f2912]) ).
fof(f2891,plain,
( ssList(app(cons(sK29,sK26),tl(sK25)))
| ~ spl53_22
| ~ spl53_128 ),
inference(resolution,[],[f1321,f1842]) ).
fof(f2909,plain,
( spl53_272
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2898,f703,f2906]) ).
fof(f2898,plain,
( ssList(app(tl(sK25),tl(sK25)))
| ~ spl53_22 ),
inference(resolution,[],[f1321,f704]) ).
fof(f2887,plain,
( spl53_271
| ~ spl53_99
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2818,f2234,f1572,f2884]) ).
fof(f2884,plain,
( spl53_271
<=> hd(app(sK26,tl(sK26))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_271])]) ).
fof(f2818,plain,
( hd(app(sK26,tl(sK26))) = hd(sK26)
| ~ spl53_99
| ~ spl53_185 ),
inference(resolution,[],[f2235,f1573]) ).
fof(f2882,plain,
( spl53_270
| ~ spl53_11
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2813,f2234,f651,f2879]) ).
fof(f2879,plain,
( spl53_270
<=> tl(sK26) = tl(cons(sK29,tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_270])]) ).
fof(f2813,plain,
( tl(sK26) = tl(cons(sK29,tl(sK26)))
| ~ spl53_11
| ~ spl53_185 ),
inference(resolution,[],[f2235,f940]) ).
fof(f940,plain,
( ! [X6] :
( ~ ssList(X6)
| tl(cons(sK29,X6)) = X6 )
| ~ spl53_11 ),
inference(resolution,[],[f340,f653]) ).
fof(f340,plain,
! [X0,X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f2877,plain,
( spl53_269
| spl53_182
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2800,f2234,f2222,f2874]) ).
fof(f2874,plain,
( spl53_269
<=> tl(sK26) = cons(sK1(tl(sK26)),sK0(tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_269])]) ).
fof(f2222,plain,
( spl53_182
<=> nil = tl(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_182])]) ).
fof(f2800,plain,
( nil = tl(sK26)
| tl(sK26) = cons(sK1(tl(sK26)),sK0(tl(sK26)))
| ~ spl53_185 ),
inference(resolution,[],[f2235,f345]) ).
fof(f2872,plain,
( spl53_268
| ~ spl53_98
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2817,f2234,f1568,f2869]) ).
fof(f2867,plain,
( spl53_267
| spl53_182
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2802,f2234,f2222,f2864]) ).
fof(f2864,plain,
( spl53_267
<=> hd(tl(sK26)) = sK2(tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_267])]) ).
fof(f2802,plain,
( nil = tl(sK26)
| hd(tl(sK26)) = sK2(tl(sK26))
| ~ spl53_185 ),
inference(resolution,[],[f2235,f352]) ).
fof(f2862,plain,
( spl53_182
| spl53_266
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2811,f2234,f2859,f2222]) ).
fof(f2859,plain,
( spl53_266
<=> tl(tl(sK26)) = sK46(tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_266])]) ).
fof(f2811,plain,
( tl(tl(sK26)) = sK46(tl(sK26))
| nil = tl(sK26)
| ~ spl53_185 ),
inference(resolution,[],[f2235,f518]) ).
fof(f518,plain,
! [X0] :
( ~ ssList(X0)
| tl(X0) = sK46(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( tl(X0) = sK46(X0)
& ssList(sK46(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f195,f319]) ).
fof(f319,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK46(X0)
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f2857,plain,
( spl53_265
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2805,f2234,f2854]) ).
fof(f2854,plain,
( spl53_265
<=> tl(sK26) = app(tl(sK26),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_265])]) ).
fof(f2805,plain,
( tl(sK26) = app(tl(sK26),nil)
| ~ spl53_185 ),
inference(resolution,[],[f2235,f437]) ).
fof(f437,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f2852,plain,
( spl53_264
| ~ spl53_21
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2816,f2234,f699,f2849]) ).
fof(f2816,plain,
( tl(cons(hd(sK25),tl(sK26))) = tl(sK26)
| ~ spl53_21
| ~ spl53_185 ),
inference(resolution,[],[f2235,f1317]) ).
fof(f1317,plain,
( ! [X1] :
( ~ ssList(X1)
| tl(cons(hd(sK25),X1)) = X1 )
| ~ spl53_21 ),
inference(resolution,[],[f700,f340]) ).
fof(f700,plain,
( ssItem(hd(sK25))
| ~ spl53_21 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f2847,plain,
( spl53_263
| ~ spl53_21
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2815,f2234,f699,f2844]) ).
fof(f2815,plain,
( hd(cons(hd(sK25),tl(sK26))) = hd(sK25)
| ~ spl53_21
| ~ spl53_185 ),
inference(resolution,[],[f2235,f1316]) ).
fof(f1316,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(cons(hd(sK25),X0)) = hd(sK25) )
| ~ spl53_21 ),
inference(resolution,[],[f700,f409]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f2842,plain,
( spl53_262
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2808,f2234,f2839]) ).
fof(f2808,plain,
( tl(sK26) = app(nil,tl(sK26))
| ~ spl53_185 ),
inference(resolution,[],[f2235,f493]) ).
fof(f493,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f2837,plain,
( spl53_261
| ~ spl53_11
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2814,f2234,f651,f2834]) ).
fof(f2834,plain,
( spl53_261
<=> hd(cons(sK29,tl(sK26))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_261])]) ).
fof(f2814,plain,
( hd(cons(sK29,tl(sK26))) = sK29
| ~ spl53_11
| ~ spl53_185 ),
inference(resolution,[],[f2235,f1122]) ).
fof(f1122,plain,
( ! [X6] :
( ~ ssList(X6)
| hd(cons(sK29,X6)) = sK29 )
| ~ spl53_11 ),
inference(resolution,[],[f409,f653]) ).
fof(f2832,plain,
( spl53_260
| spl53_182
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2809,f2234,f2222,f2829]) ).
fof(f2829,plain,
( spl53_260
<=> tl(sK26) = cons(hd(tl(sK26)),tl(tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_260])]) ).
fof(f2809,plain,
( nil = tl(sK26)
| tl(sK26) = cons(hd(tl(sK26)),tl(tl(sK26)))
| ~ spl53_185 ),
inference(resolution,[],[f2235,f494]) ).
fof(f2827,plain,
( spl53_259
| ~ spl53_9
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2812,f2234,f642,f2824]) ).
fof(f2824,plain,
( spl53_259
<=> ssList(app(tl(sK26),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_259])]) ).
fof(f2812,plain,
( ssList(app(tl(sK26),sK25))
| ~ spl53_9
| ~ spl53_185 ),
inference(resolution,[],[f2235,f799]) ).
fof(f799,plain,
( ! [X3] :
( ~ ssList(X3)
| ssList(app(X3,sK25)) )
| ~ spl53_9 ),
inference(resolution,[],[f373,f644]) ).
fof(f2822,plain,
( spl53_182
| spl53_258
| ~ spl53_185 ),
inference(avatar_split_clause,[],[f2806,f2234,f2820,f2222]) ).
fof(f2820,plain,
( spl53_258
<=> ! [X5] :
( ~ ssList(X5)
| hd(app(tl(sK26),X5)) = hd(tl(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_258])]) ).
fof(f2806,plain,
( ! [X5] :
( ~ ssList(X5)
| nil = tl(sK26)
| hd(app(tl(sK26),X5)) = hd(tl(sK26)) )
| ~ spl53_185 ),
inference(resolution,[],[f2235,f441]) ).
fof(f2799,plain,
( spl53_257
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2717,f687,f2796]) ).
fof(f2717,plain,
( app(tl(sK25),cons(hd(sK25),nil)) = app(app(tl(sK25),cons(hd(sK25),nil)),nil)
| ~ spl53_18 ),
inference(resolution,[],[f688,f437]) ).
fof(f2794,plain,
( spl53_256
| ~ spl53_18
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f2730,f1572,f687,f2791]) ).
fof(f2730,plain,
( hd(sK26) = hd(app(sK26,app(tl(sK25),cons(hd(sK25),nil))))
| ~ spl53_18
| ~ spl53_99 ),
inference(resolution,[],[f688,f1573]) ).
fof(f2789,plain,
( spl53_255
| ~ spl53_18
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2728,f699,f687,f2786]) ).
fof(f2728,plain,
( tl(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_18
| ~ spl53_21 ),
inference(resolution,[],[f688,f1317]) ).
fof(f2784,plain,
( spl53_254
| spl53_56
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2723,f687,f1020,f2781]) ).
fof(f2723,plain,
( nil = app(tl(sK25),cons(hd(sK25),nil))
| tl(app(tl(sK25),cons(hd(sK25),nil))) = sK46(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_18 ),
inference(resolution,[],[f688,f518]) ).
fof(f2779,plain,
( spl53_253
| spl53_56
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2714,f687,f1020,f2776]) ).
fof(f2714,plain,
( nil = app(tl(sK25),cons(hd(sK25),nil))
| sK2(app(tl(sK25),cons(hd(sK25),nil))) = hd(app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_18 ),
inference(resolution,[],[f688,f352]) ).
fof(f2774,plain,
( spl53_252
| ~ spl53_9
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2724,f687,f642,f2771]) ).
fof(f2724,plain,
( ssList(app(app(tl(sK25),cons(hd(sK25),nil)),sK25))
| ~ spl53_9
| ~ spl53_18 ),
inference(resolution,[],[f688,f799]) ).
fof(f2769,plain,
( spl53_251
| ~ spl53_11
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2726,f687,f651,f2766]) ).
fof(f2726,plain,
( hd(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = sK29
| ~ spl53_11
| ~ spl53_18 ),
inference(resolution,[],[f688,f1122]) ).
fof(f2764,plain,
( spl53_250
| spl53_56
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2721,f687,f1020,f2761]) ).
fof(f2721,plain,
( nil = app(tl(sK25),cons(hd(sK25),nil))
| cons(hd(app(tl(sK25),cons(hd(sK25),nil))),tl(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_18 ),
inference(resolution,[],[f688,f494]) ).
fof(f2759,plain,
( spl53_56
| spl53_249
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2718,f687,f2757,f1020]) ).
fof(f2757,plain,
( spl53_249
<=> ! [X5] :
( hd(app(app(tl(sK25),cons(hd(sK25),nil)),X5)) = hd(app(tl(sK25),cons(hd(sK25),nil)))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_249])]) ).
fof(f2718,plain,
( ! [X5] :
( hd(app(app(tl(sK25),cons(hd(sK25),nil)),X5)) = hd(app(tl(sK25),cons(hd(sK25),nil)))
| nil = app(tl(sK25),cons(hd(sK25),nil))
| ~ ssList(X5) )
| ~ spl53_18 ),
inference(resolution,[],[f688,f441]) ).
fof(f2755,plain,
( spl53_248
| ~ spl53_11
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2725,f687,f651,f2752]) ).
fof(f2725,plain,
( tl(cons(sK29,app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_11
| ~ spl53_18 ),
inference(resolution,[],[f688,f940]) ).
fof(f2750,plain,
( spl53_247
| ~ spl53_18
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2727,f699,f687,f2747]) ).
fof(f2727,plain,
( hd(sK25) = hd(cons(hd(sK25),app(tl(sK25),cons(hd(sK25),nil))))
| ~ spl53_18
| ~ spl53_21 ),
inference(resolution,[],[f688,f1316]) ).
fof(f2745,plain,
( spl53_246
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2720,f687,f2742]) ).
fof(f2720,plain,
( app(tl(sK25),cons(hd(sK25),nil)) = app(nil,app(tl(sK25),cons(hd(sK25),nil)))
| ~ spl53_18 ),
inference(resolution,[],[f688,f493]) ).
fof(f2740,plain,
( spl53_245
| spl53_56
| ~ spl53_18 ),
inference(avatar_split_clause,[],[f2712,f687,f1020,f2737]) ).
fof(f2712,plain,
( nil = app(tl(sK25),cons(hd(sK25),nil))
| cons(sK1(app(tl(sK25),cons(hd(sK25),nil))),sK0(app(tl(sK25),cons(hd(sK25),nil)))) = app(tl(sK25),cons(hd(sK25),nil))
| ~ spl53_18 ),
inference(resolution,[],[f688,f345]) ).
fof(f2735,plain,
( spl53_244
| ~ spl53_18
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2729,f1568,f687,f2732]) ).
fof(f2729,plain,
( hd(app(sK25,app(tl(sK25),cons(hd(sK25),nil)))) = hd(sK25)
| ~ spl53_18
| ~ spl53_98 ),
inference(resolution,[],[f688,f1569]) ).
fof(f2708,plain,
( spl53_243
| ~ spl53_19
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2672,f699,f691,f2705]) ).
fof(f2672,plain,
( hd(cons(hd(sK25),cons(hd(sK25),nil))) = hd(sK25)
| ~ spl53_19
| ~ spl53_21 ),
inference(resolution,[],[f692,f1316]) ).
fof(f2702,plain,
( spl53_242
| ~ spl53_19
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2674,f1568,f691,f2699]) ).
fof(f2674,plain,
( hd(sK25) = hd(app(sK25,cons(hd(sK25),nil)))
| ~ spl53_19
| ~ spl53_98 ),
inference(resolution,[],[f692,f1569]) ).
fof(f2696,plain,
( spl53_241
| spl53_87
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f2657,f691,f1423,f2693]) ).
fof(f1423,plain,
( spl53_87
<=> nil = cons(hd(sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_87])]) ).
fof(f2657,plain,
( nil = cons(hd(sK25),nil)
| cons(sK1(cons(hd(sK25),nil)),sK0(cons(hd(sK25),nil))) = cons(hd(sK25),nil)
| ~ spl53_19 ),
inference(resolution,[],[f692,f345]) ).
fof(f2691,plain,
( spl53_240
| ~ spl53_19
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f2675,f1572,f691,f2688]) ).
fof(f2675,plain,
( hd(app(sK26,cons(hd(sK25),nil))) = hd(sK26)
| ~ spl53_19
| ~ spl53_99 ),
inference(resolution,[],[f692,f1573]) ).
fof(f2686,plain,
( spl53_239
| ~ spl53_19
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2673,f699,f691,f2683]) ).
fof(f2673,plain,
( tl(cons(hd(sK25),cons(hd(sK25),nil))) = cons(hd(sK25),nil)
| ~ spl53_19
| ~ spl53_21 ),
inference(resolution,[],[f692,f1317]) ).
fof(f2681,plain,
( spl53_238
| ~ spl53_9
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f2669,f691,f642,f2678]) ).
fof(f2669,plain,
( ssList(app(cons(hd(sK25),nil),sK25))
| ~ spl53_9
| ~ spl53_19 ),
inference(resolution,[],[f692,f799]) ).
fof(f2656,plain,
( spl53_237
| ~ spl53_22
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f2627,f1572,f703,f2653]) ).
fof(f2627,plain,
( hd(sK26) = hd(app(sK26,tl(sK25)))
| ~ spl53_22
| ~ spl53_99 ),
inference(resolution,[],[f704,f1573]) ).
fof(f2651,plain,
( spl53_77
| spl53_236
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2615,f703,f2649,f1337]) ).
fof(f2649,plain,
( spl53_236
<=> ! [X5] :
( hd(app(tl(sK25),X5)) = hd(tl(sK25))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_236])]) ).
fof(f2615,plain,
( ! [X5] :
( hd(app(tl(sK25),X5)) = hd(tl(sK25))
| nil = tl(sK25)
| ~ ssList(X5) )
| ~ spl53_22 ),
inference(resolution,[],[f704,f441]) ).
fof(f2647,plain,
( spl53_77
| spl53_235
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2618,f703,f2644,f1337]) ).
fof(f2618,plain,
( tl(sK25) = cons(hd(tl(sK25)),tl(tl(sK25)))
| nil = tl(sK25)
| ~ spl53_22 ),
inference(resolution,[],[f704,f494]) ).
fof(f2642,plain,
( spl53_234
| ~ spl53_9
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2621,f703,f642,f2639]) ).
fof(f2621,plain,
( ssList(app(tl(sK25),sK25))
| ~ spl53_9
| ~ spl53_22 ),
inference(resolution,[],[f704,f799]) ).
fof(f2637,plain,
( spl53_77
| spl53_233
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f2609,f703,f2634,f1337]) ).
fof(f2609,plain,
( tl(sK25) = cons(sK1(tl(sK25)),sK0(tl(sK25)))
| nil = tl(sK25)
| ~ spl53_22 ),
inference(resolution,[],[f704,f345]) ).
fof(f2632,plain,
( spl53_232
| ~ spl53_22
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2626,f1568,f703,f2629]) ).
fof(f2608,plain,
( spl53_231
| ~ spl53_88
| ~ spl53_229 ),
inference(avatar_split_clause,[],[f2603,f2592,f1427,f2605]) ).
fof(f1427,plain,
( spl53_88
<=> sK2(cons(hd(sK25),nil)) = hd(cons(hd(sK25),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_88])]) ).
fof(f2603,plain,
( sK2(cons(hd(sK25),nil)) = hd(sK25)
| ~ spl53_88
| ~ spl53_229 ),
inference(backward_demodulation,[],[f1429,f2594]) ).
fof(f2594,plain,
( hd(cons(hd(sK25),nil)) = hd(sK25)
| ~ spl53_229 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f1429,plain,
( sK2(cons(hd(sK25),nil)) = hd(cons(hd(sK25),nil))
| ~ spl53_88 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f2602,plain,
( spl53_230
| ~ spl53_89
| ~ spl53_227 ),
inference(avatar_split_clause,[],[f2597,f2581,f1432,f2599]) ).
fof(f2596,plain,
( spl53_124
| ~ spl53_173
| ~ spl53_175 ),
inference(avatar_split_clause,[],[f2406,f2170,f2161,f1816]) ).
fof(f1816,plain,
( spl53_124
<=> ! [X4,X5] :
( sK25 != cons(X4,X5)
| ~ ssItem(X4)
| nil = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_124])]) ).
fof(f2170,plain,
( spl53_175
<=> ! [X4,X5] :
( ~ ssList(X5)
| ~ ssItem(X4)
| sK0(sK25) = X5
| sK25 != cons(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_175])]) ).
fof(f2406,plain,
( ! [X4,X5] :
( nil = X5
| sK25 != cons(X4,X5)
| ~ ssItem(X4)
| ~ ssList(X5) )
| ~ spl53_173
| ~ spl53_175 ),
inference(backward_demodulation,[],[f2171,f2163]) ).
fof(f2171,plain,
( ! [X4,X5] :
( sK0(sK25) = X5
| ~ ssList(X5)
| ~ ssItem(X4)
| sK25 != cons(X4,X5) )
| ~ spl53_175 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2595,plain,
( spl53_229
| ~ spl53_1
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2464,f699,f604,f2592]) ).
fof(f2464,plain,
( hd(cons(hd(sK25),nil)) = hd(sK25)
| ~ spl53_1
| ~ spl53_21 ),
inference(resolution,[],[f1316,f605]) ).
fof(f2590,plain,
( ~ spl53_1
| spl53_124
| ~ spl53_171
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f2431,f2410,f2153,f1816,f604]) ).
fof(f2431,plain,
( ! [X4,X5] :
( ~ ssItem(sK1(sK25))
| ~ ssItem(X4)
| ~ ssList(nil)
| ~ ssList(X5)
| sK25 != cons(X4,X5)
| nil = X5 )
| ~ spl53_209 ),
inference(superposition,[],[f414,f2412]) ).
fof(f2589,plain,
( spl53_228
| spl53_37
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1492,f642,f805,f2586]) ).
fof(f1492,plain,
( nil = sK25
| sK25 = cons(hd(sK25),tl(sK25))
| ~ spl53_9 ),
inference(resolution,[],[f494,f644]) ).
fof(f2584,plain,
( spl53_227
| ~ spl53_1
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2263,f699,f604,f2581]) ).
fof(f2263,plain,
( nil = tl(cons(hd(sK25),nil))
| ~ spl53_1
| ~ spl53_21 ),
inference(resolution,[],[f1317,f605]) ).
fof(f2579,plain,
( ~ spl53_171
| ~ spl53_1
| spl53_124
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f2432,f2410,f1816,f604,f2153]) ).
fof(f2432,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| nil = X7
| ~ ssList(nil)
| sK25 != cons(X6,X7)
| ~ ssItem(sK1(sK25))
| ~ ssList(X7) )
| ~ spl53_209 ),
inference(superposition,[],[f414,f2412]) ).
fof(f2578,plain,
( spl53_226
| ~ spl53_9
| ~ spl53_21
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f2544,f1508,f699,f642,f2575]) ).
fof(f2544,plain,
( app(sK25,sK25) = cons(hd(sK25),sK25)
| ~ spl53_9
| ~ spl53_21
| ~ spl53_95 ),
inference(resolution,[],[f1554,f644]) ).
fof(f1554,plain,
( ! [X2] :
( ~ ssList(X2)
| cons(hd(sK25),X2) = app(sK25,X2) )
| ~ spl53_21
| ~ spl53_95 ),
inference(forward_demodulation,[],[f1549,f1510]) ).
fof(f1510,plain,
( sK25 = cons(hd(sK25),nil)
| ~ spl53_95 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1549,plain,
( ! [X2] :
( cons(hd(sK25),X2) = app(cons(hd(sK25),nil),X2)
| ~ ssList(X2) )
| ~ spl53_21 ),
inference(resolution,[],[f508,f700]) ).
fof(f2573,plain,
( spl53_225
| ~ spl53_21
| ~ spl53_95
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2538,f1615,f1508,f699,f2570]) ).
fof(f2538,plain,
( cons(hd(sK25),app(sK26,sK25)) = app(sK25,app(sK26,sK25))
| ~ spl53_21
| ~ spl53_95
| ~ spl53_101 ),
inference(resolution,[],[f1554,f1617]) ).
fof(f2568,plain,
( spl53_224
| ~ spl53_21
| ~ spl53_24
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f2545,f1508,f713,f699,f2565]) ).
fof(f2545,plain,
( app(sK25,sK26) = cons(hd(sK25),sK26)
| ~ spl53_21
| ~ spl53_24
| ~ spl53_95 ),
inference(resolution,[],[f1554,f715]) ).
fof(f2562,plain,
( spl53_223
| ~ spl53_21
| ~ spl53_95
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2536,f1841,f1508,f699,f2559]) ).
fof(f2536,plain,
( app(sK25,cons(sK29,sK26)) = cons(hd(sK25),cons(sK29,sK26))
| ~ spl53_21
| ~ spl53_95
| ~ spl53_128 ),
inference(resolution,[],[f1554,f1842]) ).
fof(f2557,plain,
( spl53_222
| ~ spl53_21
| ~ spl53_95
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2543,f1944,f1508,f699,f2554]) ).
fof(f2543,plain,
( app(sK25,sK0(sK26)) = cons(hd(sK25),sK0(sK26))
| ~ spl53_21
| ~ spl53_95
| ~ spl53_143 ),
inference(resolution,[],[f1554,f1945]) ).
fof(f2552,plain,
( spl53_221
| ~ spl53_21
| ~ spl53_95
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2537,f1609,f1508,f699,f2549]) ).
fof(f2549,plain,
( spl53_221
<=> app(sK25,app(sK25,sK25)) = cons(hd(sK25),app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_221])]) ).
fof(f2537,plain,
( app(sK25,app(sK25,sK25)) = cons(hd(sK25),app(sK25,sK25))
| ~ spl53_21
| ~ spl53_95
| ~ spl53_100 ),
inference(resolution,[],[f1554,f1611]) ).
fof(f2534,plain,
( spl53_220
| ~ spl53_21
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2511,f1944,f699,f2531]) ).
fof(f2511,plain,
( hd(sK25) = hd(cons(hd(sK25),sK0(sK26)))
| ~ spl53_21
| ~ spl53_143 ),
inference(resolution,[],[f1945,f1316]) ).
fof(f2529,plain,
( spl53_219
| ~ spl53_21
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2512,f1944,f699,f2526]) ).
fof(f2512,plain,
( tl(cons(hd(sK25),sK0(sK26))) = sK0(sK26)
| ~ spl53_21
| ~ spl53_143 ),
inference(resolution,[],[f1945,f1317]) ).
fof(f2524,plain,
( spl53_218
| ~ spl53_98
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2513,f1944,f1568,f2521]) ).
fof(f2513,plain,
( hd(sK25) = hd(app(sK25,sK0(sK26)))
| ~ spl53_98
| ~ spl53_143 ),
inference(resolution,[],[f1945,f1569]) ).
fof(f2519,plain,
( spl53_217
| ~ spl53_99
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2514,f1944,f1572,f2516]) ).
fof(f2516,plain,
( spl53_217
<=> hd(app(sK26,sK0(sK26))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_217])]) ).
fof(f2514,plain,
( hd(app(sK26,sK0(sK26))) = hd(sK26)
| ~ spl53_99
| ~ spl53_143 ),
inference(resolution,[],[f1945,f1573]) ).
fof(f2494,plain,
( spl53_216
| ~ spl53_21
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2462,f1615,f699,f2491]) ).
fof(f2462,plain,
( hd(cons(hd(sK25),app(sK26,sK25))) = hd(sK25)
| ~ spl53_21
| ~ spl53_101 ),
inference(resolution,[],[f1316,f1617]) ).
fof(f2489,plain,
( spl53_215
| ~ spl53_21
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2461,f1609,f699,f2486]) ).
fof(f2461,plain,
( hd(cons(hd(sK25),app(sK25,sK25))) = hd(sK25)
| ~ spl53_21
| ~ spl53_100 ),
inference(resolution,[],[f1316,f1611]) ).
fof(f2484,plain,
( spl53_214
| ~ spl53_9
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2467,f699,f642,f2481]) ).
fof(f2467,plain,
( hd(sK25) = hd(cons(hd(sK25),sK25))
| ~ spl53_9
| ~ spl53_21 ),
inference(resolution,[],[f1316,f644]) ).
fof(f2479,plain,
( spl53_213
| ~ spl53_21
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2460,f1841,f699,f2476]) ).
fof(f2460,plain,
( hd(cons(hd(sK25),cons(sK29,sK26))) = hd(sK25)
| ~ spl53_21
| ~ spl53_128 ),
inference(resolution,[],[f1316,f1842]) ).
fof(f2474,plain,
( spl53_212
| ~ spl53_21
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f2468,f713,f699,f2471]) ).
fof(f2468,plain,
( hd(cons(hd(sK25),sK26)) = hd(sK25)
| ~ spl53_21
| ~ spl53_24 ),
inference(resolution,[],[f1316,f715]) ).
fof(f2447,plain,
( ~ spl53_24
| spl53_52
| spl53_185 ),
inference(avatar_split_clause,[],[f2446,f2234,f969,f713]) ).
fof(f969,plain,
( spl53_52
<=> nil = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_52])]) ).
fof(f2446,plain,
( nil = sK26
| ~ ssList(sK26)
| spl53_185 ),
inference(resolution,[],[f2236,f507]) ).
fof(f507,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f2236,plain,
( ~ ssList(tl(sK26))
| spl53_185 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2441,plain,
( spl53_52
| ~ spl53_24
| spl53_184 ),
inference(avatar_split_clause,[],[f2440,f2230,f713,f969]) ).
fof(f2230,plain,
( spl53_184
<=> ssItem(hd(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_184])]) ).
fof(f2440,plain,
( ~ ssList(sK26)
| nil = sK26
| spl53_184 ),
inference(resolution,[],[f2232,f404]) ).
fof(f404,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f2232,plain,
( ~ ssItem(hd(sK26))
| spl53_184 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f2423,plain,
( ~ spl53_211
| spl53_172
| ~ spl53_173 ),
inference(avatar_split_clause,[],[f2405,f2161,f2157,f2420]) ).
fof(f2405,plain,
( ~ leq(sK1(sK25),hd(nil))
| spl53_172
| ~ spl53_173 ),
inference(backward_demodulation,[],[f2158,f2163]) ).
fof(f2418,plain,
( ~ spl53_210
| ~ spl53_173
| spl53_177 ),
inference(avatar_split_clause,[],[f2408,f2179,f2161,f2415]) ).
fof(f2408,plain,
( ~ lt(sK1(sK25),hd(nil))
| ~ spl53_173
| spl53_177 ),
inference(backward_demodulation,[],[f2180,f2163]) ).
fof(f2413,plain,
( spl53_209
| ~ spl53_93
| ~ spl53_173 ),
inference(avatar_split_clause,[],[f2404,f2161,f1484,f2410]) ).
fof(f2404,plain,
( sK25 = cons(sK1(sK25),nil)
| ~ spl53_93
| ~ spl53_173 ),
inference(backward_demodulation,[],[f1486,f2163]) ).
fof(f2403,plain,
( spl53_37
| ~ spl53_9
| spl53_174 ),
inference(avatar_split_clause,[],[f2402,f2165,f642,f805]) ).
fof(f2402,plain,
( ~ ssList(sK25)
| nil = sK25
| spl53_174 ),
inference(resolution,[],[f2167,f347]) ).
fof(f347,plain,
! [X0] :
( ssList(sK0(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f2397,plain,
( ~ spl53_9
| spl53_37
| spl53_171 ),
inference(avatar_split_clause,[],[f2396,f2153,f805,f642]) ).
fof(f2396,plain,
( nil = sK25
| ~ ssList(sK25)
| spl53_171 ),
inference(resolution,[],[f2155,f346]) ).
fof(f2395,plain,
( spl53_208
| ~ spl53_122
| ~ spl53_205 ),
inference(avatar_split_clause,[],[f2383,f2373,f1771,f2392]) ).
fof(f2392,plain,
( spl53_208
<=> app(sK26,sK25) = cons(hd(sK26),tl(app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_208])]) ).
fof(f1771,plain,
( spl53_122
<=> app(sK26,sK25) = cons(hd(app(sK26,sK25)),tl(app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_122])]) ).
fof(f2373,plain,
( spl53_205
<=> hd(sK26) = hd(app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_205])]) ).
fof(f2383,plain,
( app(sK26,sK25) = cons(hd(sK26),tl(app(sK26,sK25)))
| ~ spl53_122
| ~ spl53_205 ),
inference(backward_demodulation,[],[f1773,f2375]) ).
fof(f2375,plain,
( hd(sK26) = hd(app(sK26,sK25))
| ~ spl53_205 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f1773,plain,
( app(sK26,sK25) = cons(hd(app(sK26,sK25)),tl(app(sK26,sK25)))
| ~ spl53_122 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f2390,plain,
( spl53_207
| ~ spl53_123
| ~ spl53_205 ),
inference(avatar_split_clause,[],[f2385,f2373,f1776,f2387]) ).
fof(f2387,plain,
( spl53_207
<=> sK2(app(sK26,sK25)) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_207])]) ).
fof(f1776,plain,
( spl53_123
<=> sK2(app(sK26,sK25)) = hd(app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_123])]) ).
fof(f2385,plain,
( sK2(app(sK26,sK25)) = hd(sK26)
| ~ spl53_123
| ~ spl53_205 ),
inference(backward_demodulation,[],[f1778,f2375]) ).
fof(f1778,plain,
( sK2(app(sK26,sK25)) = hd(app(sK26,sK25))
| ~ spl53_123 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f2381,plain,
( spl53_206
| ~ spl53_99
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2349,f1615,f1572,f2378]) ).
fof(f2378,plain,
( spl53_206
<=> hd(app(sK26,app(sK26,sK25))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_206])]) ).
fof(f2349,plain,
( hd(app(sK26,app(sK26,sK25))) = hd(sK26)
| ~ spl53_99
| ~ spl53_101 ),
inference(resolution,[],[f1573,f1617]) ).
fof(f2376,plain,
( spl53_205
| ~ spl53_9
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f2354,f1572,f642,f2373]) ).
fof(f2354,plain,
( hd(sK26) = hd(app(sK26,sK25))
| ~ spl53_9
| ~ spl53_99 ),
inference(resolution,[],[f1573,f644]) ).
fof(f2371,plain,
( spl53_204
| ~ spl53_99
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2348,f1609,f1572,f2368]) ).
fof(f2368,plain,
( spl53_204
<=> hd(app(sK26,app(sK25,sK25))) = hd(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_204])]) ).
fof(f2348,plain,
( hd(app(sK26,app(sK25,sK25))) = hd(sK26)
| ~ spl53_99
| ~ spl53_100 ),
inference(resolution,[],[f1573,f1611]) ).
fof(f2366,plain,
( spl53_203
| ~ spl53_99
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2347,f1841,f1572,f2363]) ).
fof(f2363,plain,
( spl53_203
<=> hd(sK26) = hd(app(sK26,cons(sK29,sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_203])]) ).
fof(f2347,plain,
( hd(sK26) = hd(app(sK26,cons(sK29,sK26)))
| ~ spl53_99
| ~ spl53_128 ),
inference(resolution,[],[f1573,f1842]) ).
fof(f2361,plain,
( spl53_202
| ~ spl53_24
| ~ spl53_99 ),
inference(avatar_split_clause,[],[f2355,f1572,f713,f2358]) ).
fof(f2358,plain,
( spl53_202
<=> hd(sK26) = hd(app(sK26,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_202])]) ).
fof(f2355,plain,
( hd(sK26) = hd(app(sK26,sK26))
| ~ spl53_24
| ~ spl53_99 ),
inference(resolution,[],[f1573,f715]) ).
fof(f2345,plain,
( spl53_201
| ~ spl53_110
| ~ spl53_199 ),
inference(avatar_split_clause,[],[f2333,f2329,f1688,f2342]) ).
fof(f2333,plain,
( sK2(app(sK25,sK25)) = hd(sK25)
| ~ spl53_110
| ~ spl53_199 ),
inference(backward_demodulation,[],[f1690,f2331]) ).
fof(f1690,plain,
( hd(app(sK25,sK25)) = sK2(app(sK25,sK25))
| ~ spl53_110 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f2340,plain,
( spl53_200
| ~ spl53_112
| ~ spl53_199 ),
inference(avatar_split_clause,[],[f2334,f2329,f1698,f2337]) ).
fof(f2332,plain,
( spl53_199
| ~ spl53_9
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2304,f1568,f642,f2329]) ).
fof(f2327,plain,
( spl53_198
| ~ spl53_98
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2299,f1615,f1568,f2324]) ).
fof(f2322,plain,
( spl53_197
| ~ spl53_24
| ~ spl53_98 ),
inference(avatar_split_clause,[],[f2305,f1568,f713,f2319]) ).
fof(f2305,plain,
( hd(app(sK25,sK26)) = hd(sK25)
| ~ spl53_24
| ~ spl53_98 ),
inference(resolution,[],[f1569,f715]) ).
fof(f2317,plain,
( spl53_196
| ~ spl53_98
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2298,f1609,f1568,f2314]) ).
fof(f2314,plain,
( spl53_196
<=> hd(sK25) = hd(app(sK25,app(sK25,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_196])]) ).
fof(f2311,plain,
( spl53_195
| ~ spl53_98
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2297,f1841,f1568,f2308]) ).
fof(f2297,plain,
( hd(app(sK25,cons(sK29,sK26))) = hd(sK25)
| ~ spl53_98
| ~ spl53_128 ),
inference(resolution,[],[f1569,f1842]) ).
fof(f2295,plain,
( spl53_194
| ~ spl53_21
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2261,f1615,f699,f2292]) ).
fof(f2261,plain,
( app(sK26,sK25) = tl(cons(hd(sK25),app(sK26,sK25)))
| ~ spl53_21
| ~ spl53_101 ),
inference(resolution,[],[f1317,f1617]) ).
fof(f2290,plain,
( spl53_193
| ~ spl53_21
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f2259,f1841,f699,f2287]) ).
fof(f2259,plain,
( cons(sK29,sK26) = tl(cons(hd(sK25),cons(sK29,sK26)))
| ~ spl53_21
| ~ spl53_128 ),
inference(resolution,[],[f1317,f1842]) ).
fof(f2284,plain,
( spl53_192
| ~ spl53_9
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f2266,f699,f642,f2281]) ).
fof(f2266,plain,
( tl(cons(hd(sK25),sK25)) = sK25
| ~ spl53_9
| ~ spl53_21 ),
inference(resolution,[],[f1317,f644]) ).
fof(f2279,plain,
( spl53_191
| ~ spl53_21
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f2267,f713,f699,f2276]) ).
fof(f2267,plain,
( tl(cons(hd(sK25),sK26)) = sK26
| ~ spl53_21
| ~ spl53_24 ),
inference(resolution,[],[f1317,f715]) ).
fof(f2274,plain,
( spl53_190
| ~ spl53_21
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2260,f1609,f699,f2271]) ).
fof(f2271,plain,
( spl53_190
<=> app(sK25,sK25) = tl(cons(hd(sK25),app(sK25,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_190])]) ).
fof(f2260,plain,
( app(sK25,sK25) = tl(cons(hd(sK25),app(sK25,sK25)))
| ~ spl53_21
| ~ spl53_100 ),
inference(resolution,[],[f1317,f1611]) ).
fof(f2257,plain,
( ~ spl53_184
| spl53_187
| ~ spl53_185
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2210,f1498,f2234,f2244,f2230]) ).
fof(f2244,plain,
( spl53_187
<=> ! [X2,X3] :
( ~ ssList(X3)
| hd(sK26) = X2
| cons(X2,X3) != sK26
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_187])]) ).
fof(f1498,plain,
( spl53_94
<=> cons(hd(sK26),tl(sK26)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_94])]) ).
fof(f2210,plain,
( ! [X0,X1] :
( ~ ssList(tl(sK26))
| ~ ssList(X1)
| ~ ssItem(X0)
| hd(sK26) = X0
| cons(X0,X1) != sK26
| ~ ssItem(hd(sK26)) )
| ~ spl53_94 ),
inference(superposition,[],[f413,f1500]) ).
fof(f1500,plain,
( cons(hd(sK26),tl(sK26)) = sK26
| ~ spl53_94 ),
inference(avatar_component_clause,[],[f1498]) ).
fof(f2256,plain,
( ~ spl53_185
| ~ spl53_184
| spl53_189
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2212,f1498,f2253,f2230,f2234]) ).
fof(f2253,plain,
( spl53_189
<=> ! [X6,X7] :
( tl(sK26) = X7
| ~ ssList(X7)
| ~ ssItem(X6)
| cons(X6,X7) != sK26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_189])]) ).
fof(f2212,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssItem(hd(sK26))
| tl(sK26) = X5
| cons(X4,X5) != sK26
| ~ ssList(tl(sK26))
| ~ ssItem(X4) )
| ~ spl53_94 ),
inference(superposition,[],[f414,f1500]) ).
fof(f2255,plain,
( ~ spl53_184
| spl53_189
| ~ spl53_185
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2213,f1498,f2234,f2253,f2230]) ).
fof(f2213,plain,
( ! [X6,X7] :
( ~ ssList(tl(sK26))
| tl(sK26) = X7
| cons(X6,X7) != sK26
| ~ ssItem(hd(sK26))
| ~ ssItem(X6)
| ~ ssList(X7) )
| ~ spl53_94 ),
inference(superposition,[],[f414,f1500]) ).
fof(f2251,plain,
( ~ spl53_188
| ~ spl53_185
| ~ spl53_184
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2217,f1498,f2230,f2234,f2248]) ).
fof(f2248,plain,
( spl53_188
<=> tl(sK26) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_188])]) ).
fof(f2217,plain,
( ~ ssItem(hd(sK26))
| ~ ssList(tl(sK26))
| tl(sK26) != sK26
| ~ spl53_94 ),
inference(superposition,[],[f498,f1500]) ).
fof(f2246,plain,
( ~ spl53_184
| ~ spl53_185
| spl53_187
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2211,f1498,f2244,f2234,f2230]) ).
fof(f2211,plain,
( ! [X2,X3] :
( ~ ssList(X3)
| ~ ssList(tl(sK26))
| hd(sK26) = X2
| ~ ssItem(X2)
| cons(X2,X3) != sK26
| ~ ssItem(hd(sK26)) )
| ~ spl53_94 ),
inference(superposition,[],[f413,f1500]) ).
fof(f2242,plain,
( ~ spl53_185
| ~ spl53_184
| spl53_182
| spl53_186
| ~ spl53_147
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2219,f1498,f1961,f2239,f2222,f2230,f2234]) ).
fof(f2239,plain,
( spl53_186
<=> leq(hd(sK26),hd(tl(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_186])]) ).
fof(f1961,plain,
( spl53_147
<=> totalorderedP(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_147])]) ).
fof(f2219,plain,
( ~ totalorderedP(sK26)
| leq(hd(sK26),hd(tl(sK26)))
| nil = tl(sK26)
| ~ ssItem(hd(sK26))
| ~ ssList(tl(sK26))
| ~ spl53_94 ),
inference(superposition,[],[f541,f1500]) ).
fof(f2237,plain,
( spl53_182
| ~ spl53_147
| spl53_183
| ~ spl53_184
| ~ spl53_185
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2220,f1498,f2234,f2230,f2226,f1961,f2222]) ).
fof(f2226,plain,
( spl53_183
<=> totalorderedP(tl(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_183])]) ).
fof(f2220,plain,
( ~ ssList(tl(sK26))
| ~ ssItem(hd(sK26))
| totalorderedP(tl(sK26))
| ~ totalorderedP(sK26)
| nil = tl(sK26)
| ~ spl53_94 ),
inference(superposition,[],[f543,f1500]) ).
fof(f2202,plain,
( ~ spl53_171
| ~ spl53_174
| spl53_181
| ~ spl53_126
| spl53_173
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2151,f1484,f2161,f1825,f2199,f2165,f2153]) ).
fof(f2151,plain,
( nil = sK0(sK25)
| ~ totalorderedP(sK25)
| totalorderedP(sK0(sK25))
| ~ ssList(sK0(sK25))
| ~ ssItem(sK1(sK25))
| ~ spl53_93 ),
inference(superposition,[],[f543,f1486]) ).
fof(f2197,plain,
( ~ spl53_174
| ~ spl53_171
| spl53_179
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2142,f1484,f2188,f2153,f2165]) ).
fof(f2142,plain,
( ! [X2,X3] :
( sK1(sK25) = X2
| ~ ssItem(sK1(sK25))
| ~ ssList(X3)
| cons(X2,X3) != sK25
| ~ ssList(sK0(sK25))
| ~ ssItem(X2) )
| ~ spl53_93 ),
inference(superposition,[],[f413,f1486]) ).
fof(f2196,plain,
( ~ spl53_171
| spl53_175
| ~ spl53_174
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2144,f1484,f2165,f2170,f2153]) ).
fof(f2144,plain,
( ! [X6,X7] :
( ~ ssList(sK0(sK25))
| sK25 != cons(X6,X7)
| ~ ssList(X7)
| sK0(sK25) = X7
| ~ ssItem(X6)
| ~ ssItem(sK1(sK25)) )
| ~ spl53_93 ),
inference(superposition,[],[f414,f1486]) ).
fof(f2195,plain,
( spl53_180
| ~ spl53_174
| ~ spl53_178
| ~ spl53_171
| spl53_173
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2145,f1484,f2161,f2153,f2183,f2165,f2192]) ).
fof(f2183,plain,
( spl53_178
<=> strictorderedP(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_178])]) ).
fof(f2145,plain,
( nil = sK0(sK25)
| ~ ssItem(sK1(sK25))
| ~ strictorderedP(sK25)
| ~ ssList(sK0(sK25))
| strictorderedP(sK0(sK25))
| ~ spl53_93 ),
inference(superposition,[],[f466,f1486]) ).
fof(f2190,plain,
( ~ spl53_171
| spl53_179
| ~ spl53_174
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2141,f1484,f2165,f2188,f2153]) ).
fof(f2141,plain,
( ! [X0,X1] :
( ~ ssList(sK0(sK25))
| cons(X0,X1) != sK25
| ~ ssItem(X0)
| ~ ssList(X1)
| sK1(sK25) = X0
| ~ ssItem(sK1(sK25)) )
| ~ spl53_93 ),
inference(superposition,[],[f413,f1486]) ).
fof(f2186,plain,
( spl53_173
| ~ spl53_171
| spl53_177
| ~ spl53_174
| ~ spl53_178
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2146,f1484,f2183,f2165,f2179,f2153,f2161]) ).
fof(f2146,plain,
( ~ strictorderedP(sK25)
| ~ ssList(sK0(sK25))
| lt(sK1(sK25),hd(sK0(sK25)))
| ~ ssItem(sK1(sK25))
| nil = sK0(sK25)
| ~ spl53_93 ),
inference(superposition,[],[f467,f1486]) ).
fof(f2177,plain,
( ~ spl53_176
| ~ spl53_174
| ~ spl53_171
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2148,f1484,f2153,f2165,f2174]) ).
fof(f2148,plain,
( ~ ssItem(sK1(sK25))
| ~ ssList(sK0(sK25))
| sK0(sK25) != sK25
| ~ spl53_93 ),
inference(superposition,[],[f498,f1486]) ).
fof(f2172,plain,
( ~ spl53_171
| ~ spl53_174
| spl53_175
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2143,f1484,f2170,f2165,f2153]) ).
fof(f2143,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssList(sK0(sK25))
| sK25 != cons(X4,X5)
| sK0(sK25) = X5
| ~ ssItem(X4)
| ~ ssItem(sK1(sK25)) )
| ~ spl53_93 ),
inference(superposition,[],[f414,f1486]) ).
fof(f2168,plain,
( ~ spl53_126
| ~ spl53_171
| spl53_172
| spl53_173
| ~ spl53_174
| ~ spl53_93 ),
inference(avatar_split_clause,[],[f2150,f1484,f2165,f2161,f2157,f2153,f1825]) ).
fof(f2150,plain,
( ~ ssList(sK0(sK25))
| nil = sK0(sK25)
| leq(sK1(sK25),hd(sK0(sK25)))
| ~ ssItem(sK1(sK25))
| ~ totalorderedP(sK25)
| ~ spl53_93 ),
inference(superposition,[],[f541,f1486]) ).
fof(f2140,plain,
( spl53_170
| ~ spl53_145
| ~ spl53_1
| ~ spl53_165 ),
inference(avatar_split_clause,[],[f2121,f2075,f604,f1952,f2133]) ).
fof(f2133,plain,
( spl53_170
<=> ! [X6,X7] :
( nil = X7
| ~ ssItem(X6)
| cons(X6,X7) != sK26
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_170])]) ).
fof(f1952,plain,
( spl53_145
<=> ssItem(sK1(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_145])]) ).
fof(f2075,plain,
( spl53_165
<=> cons(sK1(sK26),nil) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_165])]) ).
fof(f2121,plain,
( ! [X4,X5] :
( ~ ssList(nil)
| ~ ssItem(sK1(sK26))
| ~ ssItem(X4)
| nil = X5
| cons(X4,X5) != sK26
| ~ ssList(X5) )
| ~ spl53_165 ),
inference(superposition,[],[f414,f2077]) ).
fof(f2077,plain,
( cons(sK1(sK26),nil) = sK26
| ~ spl53_165 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2139,plain,
( ~ spl53_145
| spl53_147
| ~ spl53_7
| ~ spl53_165 ),
inference(avatar_split_clause,[],[f2118,f2075,f633,f1961,f1952]) ).
fof(f633,plain,
( spl53_7
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f2118,plain,
( totalorderedP(sK26)
| ~ ssItem(sK1(sK26))
| ~ spl53_7
| ~ spl53_165 ),
inference(superposition,[],[f634,f2077]) ).
fof(f634,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl53_7 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f2138,plain,
( ~ spl53_1
| ~ spl53_145
| spl53_153
| ~ spl53_165 ),
inference(avatar_split_clause,[],[f2120,f2075,f1988,f1952,f604]) ).
fof(f1988,plain,
( spl53_153
<=> ! [X0,X1] :
( sK1(sK26) = X0
| ~ ssList(X1)
| cons(X0,X1) != sK26
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_153])]) ).
fof(f2120,plain,
( ! [X2,X3] :
( sK1(sK26) = X2
| ~ ssList(X3)
| ~ ssItem(sK1(sK26))
| ~ ssList(nil)
| ~ ssItem(X2)
| cons(X2,X3) != sK26 )
| ~ spl53_165 ),
inference(superposition,[],[f413,f2077]) ).
fof(f2137,plain,
( spl53_170
| ~ spl53_146
| ~ spl53_149 ),
inference(avatar_split_clause,[],[f2136,f1970,f1957,f2133]) ).
fof(f1957,plain,
( spl53_146
<=> nil = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_146])]) ).
fof(f1970,plain,
( spl53_149
<=> ! [X6,X7] :
( ~ ssList(X7)
| sK0(sK26) = X7
| ~ ssItem(X6)
| cons(X6,X7) != sK26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_149])]) ).
fof(f2136,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| cons(X6,X7) != sK26
| nil = X7
| ~ ssList(X7) )
| ~ spl53_146
| ~ spl53_149 ),
inference(forward_demodulation,[],[f1971,f1959]) ).
fof(f1959,plain,
( nil = sK0(sK26)
| ~ spl53_146 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f1971,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| cons(X6,X7) != sK26
| sK0(sK26) = X7
| ~ ssList(X7) )
| ~ spl53_149 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f2135,plain,
( ~ spl53_1
| ~ spl53_145
| spl53_170
| ~ spl53_165 ),
inference(avatar_split_clause,[],[f2122,f2075,f2133,f1952,f604]) ).
fof(f2122,plain,
( ! [X6,X7] :
( nil = X7
| ~ ssItem(sK1(sK26))
| ~ ssList(X7)
| cons(X6,X7) != sK26
| ~ ssItem(X6)
| ~ ssList(nil) )
| ~ spl53_165 ),
inference(superposition,[],[f414,f2077]) ).
fof(f2131,plain,
( spl53_52
| ~ spl53_24
| spl53_145 ),
inference(avatar_split_clause,[],[f2130,f1952,f713,f969]) ).
fof(f2130,plain,
( ~ ssList(sK26)
| nil = sK26
| spl53_145 ),
inference(resolution,[],[f1954,f346]) ).
fof(f1954,plain,
( ~ ssItem(sK1(sK26))
| spl53_145 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f2116,plain,
( ~ spl53_169
| ~ spl53_146
| spl53_162 ),
inference(avatar_split_clause,[],[f2111,f2051,f1957,f2113]) ).
fof(f2051,plain,
( spl53_162
<=> sK0(sK26) = cons(hd(sK0(sK26)),tl(sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_162])]) ).
fof(f2111,plain,
( nil != cons(hd(nil),tl(nil))
| ~ spl53_146
| spl53_162 ),
inference(forward_demodulation,[],[f2052,f1959]) ).
fof(f2052,plain,
( sK0(sK26) != cons(hd(sK0(sK26)),tl(sK0(sK26)))
| spl53_162 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f2107,plain,
( ~ spl53_168
| ~ spl53_146
| spl53_161 ),
inference(avatar_split_clause,[],[f2102,f2046,f1957,f2104]) ).
fof(f2104,plain,
( spl53_168
<=> nil = cons(sK1(nil),sK0(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_168])]) ).
fof(f2046,plain,
( spl53_161
<=> cons(sK1(sK0(sK26)),sK0(sK0(sK26))) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_161])]) ).
fof(f2102,plain,
( nil != cons(sK1(nil),sK0(nil))
| ~ spl53_146
| spl53_161 ),
inference(forward_demodulation,[],[f2047,f1959]) ).
fof(f2047,plain,
( cons(sK1(sK0(sK26)),sK0(sK0(sK26))) != sK0(sK26)
| spl53_161 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2093,plain,
( ~ spl53_167
| ~ spl53_146
| spl53_148 ),
inference(avatar_split_clause,[],[f2067,f1965,f1957,f2090]) ).
fof(f1965,plain,
( spl53_148
<=> leq(sK1(sK26),hd(sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_148])]) ).
fof(f2067,plain,
( ~ leq(sK1(sK26),hd(nil))
| ~ spl53_146
| spl53_148 ),
inference(backward_demodulation,[],[f1966,f1959]) ).
fof(f1966,plain,
( ~ leq(sK1(sK26),hd(sK0(sK26)))
| spl53_148 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f2088,plain,
( ~ spl53_166
| ~ spl53_146
| spl53_154 ),
inference(avatar_split_clause,[],[f2068,f1994,f1957,f2085]) ).
fof(f1994,plain,
( spl53_154
<=> lt(sK1(sK26),hd(sK0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_154])]) ).
fof(f2068,plain,
( ~ lt(sK1(sK26),hd(nil))
| ~ spl53_146
| spl53_154 ),
inference(backward_demodulation,[],[f1995,f1959]) ).
fof(f1995,plain,
( ~ lt(sK1(sK26),hd(sK0(sK26)))
| spl53_154 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f2078,plain,
( spl53_165
| ~ spl53_92
| ~ spl53_146 ),
inference(avatar_split_clause,[],[f2064,f1957,f1479,f2075]) ).
fof(f1479,plain,
( spl53_92
<=> cons(sK1(sK26),sK0(sK26)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_92])]) ).
fof(f2064,plain,
( cons(sK1(sK26),nil) = sK26
| ~ spl53_92
| ~ spl53_146 ),
inference(backward_demodulation,[],[f1481,f1959]) ).
fof(f1481,plain,
( cons(sK1(sK26),sK0(sK26)) = sK26
| ~ spl53_92 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f2063,plain,
( spl53_164
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2005,f1944,f2060]) ).
fof(f2060,plain,
( spl53_164
<=> app(sK0(sK26),nil) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_164])]) ).
fof(f2005,plain,
( app(sK0(sK26),nil) = sK0(sK26)
| ~ spl53_143 ),
inference(resolution,[],[f1945,f437]) ).
fof(f2058,plain,
( spl53_146
| spl53_163
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2006,f1944,f2056,f1957]) ).
fof(f2056,plain,
( spl53_163
<=> ! [X5] :
( ~ ssList(X5)
| hd(app(sK0(sK26),X5)) = hd(sK0(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_163])]) ).
fof(f2006,plain,
( ! [X5] :
( ~ ssList(X5)
| hd(app(sK0(sK26),X5)) = hd(sK0(sK26))
| nil = sK0(sK26) )
| ~ spl53_143 ),
inference(resolution,[],[f1945,f441]) ).
fof(f2054,plain,
( spl53_162
| spl53_146
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2009,f1944,f1957,f2051]) ).
fof(f2009,plain,
( nil = sK0(sK26)
| sK0(sK26) = cons(hd(sK0(sK26)),tl(sK0(sK26)))
| ~ spl53_143 ),
inference(resolution,[],[f1945,f494]) ).
fof(f2049,plain,
( spl53_146
| spl53_161
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2000,f1944,f2046,f1957]) ).
fof(f2000,plain,
( cons(sK1(sK0(sK26)),sK0(sK0(sK26))) = sK0(sK26)
| nil = sK0(sK26)
| ~ spl53_143 ),
inference(resolution,[],[f1945,f345]) ).
fof(f2044,plain,
( spl53_146
| spl53_160
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2002,f1944,f2041,f1957]) ).
fof(f2041,plain,
( spl53_160
<=> sK2(sK0(sK26)) = hd(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_160])]) ).
fof(f2002,plain,
( sK2(sK0(sK26)) = hd(sK0(sK26))
| nil = sK0(sK26)
| ~ spl53_143 ),
inference(resolution,[],[f1945,f352]) ).
fof(f2039,plain,
( spl53_159
| ~ spl53_9
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2012,f1944,f642,f2036]) ).
fof(f2036,plain,
( spl53_159
<=> ssList(app(sK0(sK26),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_159])]) ).
fof(f2012,plain,
( ssList(app(sK0(sK26),sK25))
| ~ spl53_9
| ~ spl53_143 ),
inference(resolution,[],[f1945,f799]) ).
fof(f2034,plain,
( spl53_158
| ~ spl53_11
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2014,f1944,f651,f2031]) ).
fof(f2031,plain,
( spl53_158
<=> hd(cons(sK29,sK0(sK26))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_158])]) ).
fof(f2014,plain,
( hd(cons(sK29,sK0(sK26))) = sK29
| ~ spl53_11
| ~ spl53_143 ),
inference(resolution,[],[f1945,f1122]) ).
fof(f2029,plain,
( spl53_157
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2008,f1944,f2026]) ).
fof(f2008,plain,
( app(nil,sK0(sK26)) = sK0(sK26)
| ~ spl53_143 ),
inference(resolution,[],[f1945,f493]) ).
fof(f2024,plain,
( spl53_156
| ~ spl53_11
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2013,f1944,f651,f2021]) ).
fof(f2021,plain,
( spl53_156
<=> tl(cons(sK29,sK0(sK26))) = sK0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_156])]) ).
fof(f2013,plain,
( tl(cons(sK29,sK0(sK26))) = sK0(sK26)
| ~ spl53_11
| ~ spl53_143 ),
inference(resolution,[],[f1945,f940]) ).
fof(f2019,plain,
( spl53_146
| spl53_155
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f2011,f1944,f2016,f1957]) ).
fof(f2016,plain,
( spl53_155
<=> tl(sK0(sK26)) = sK46(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_155])]) ).
fof(f2011,plain,
( tl(sK0(sK26)) = sK46(sK0(sK26))
| nil = sK0(sK26)
| ~ spl53_143 ),
inference(resolution,[],[f1945,f518]) ).
fof(f1999,plain,
( spl53_52
| ~ spl53_24
| spl53_143 ),
inference(avatar_split_clause,[],[f1998,f1944,f713,f969]) ).
fof(f1998,plain,
( ~ ssList(sK26)
| nil = sK26
| spl53_143 ),
inference(resolution,[],[f1946,f347]) ).
fof(f1946,plain,
( ~ ssList(sK0(sK26))
| spl53_143 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f1997,plain,
( ~ spl53_143
| ~ spl53_151
| spl53_146
| spl53_154
| ~ spl53_145
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1937,f1479,f1952,f1994,f1957,f1979,f1944]) ).
fof(f1979,plain,
( spl53_151
<=> strictorderedP(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_151])]) ).
fof(f1937,plain,
( ~ ssItem(sK1(sK26))
| lt(sK1(sK26),hd(sK0(sK26)))
| nil = sK0(sK26)
| ~ strictorderedP(sK26)
| ~ ssList(sK0(sK26))
| ~ spl53_92 ),
inference(superposition,[],[f467,f1481]) ).
fof(f1992,plain,
( ~ spl53_145
| ~ spl53_143
| spl53_149
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1934,f1479,f1970,f1944,f1952]) ).
fof(f1934,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssList(sK0(sK26))
| cons(X4,X5) != sK26
| sK0(sK26) = X5
| ~ ssItem(sK1(sK26))
| ~ ssItem(X4) )
| ~ spl53_92 ),
inference(superposition,[],[f414,f1481]) ).
fof(f1991,plain,
( ~ spl53_143
| spl53_153
| ~ spl53_145
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1933,f1479,f1952,f1988,f1944]) ).
fof(f1933,plain,
( ! [X2,X3] :
( ~ ssItem(sK1(sK26))
| ~ ssList(X3)
| ~ ssList(sK0(sK26))
| ~ ssItem(X2)
| cons(X2,X3) != sK26
| sK1(sK26) = X2 )
| ~ spl53_92 ),
inference(superposition,[],[f413,f1481]) ).
fof(f1990,plain,
( ~ spl53_143
| ~ spl53_145
| spl53_153
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1932,f1479,f1988,f1952,f1944]) ).
fof(f1932,plain,
( ! [X0,X1] :
( sK1(sK26) = X0
| ~ ssItem(X0)
| ~ ssItem(sK1(sK26))
| cons(X0,X1) != sK26
| ~ ssList(sK0(sK26))
| ~ ssList(X1) )
| ~ spl53_92 ),
inference(superposition,[],[f413,f1481]) ).
fof(f1986,plain,
( ~ spl53_151
| ~ spl53_145
| spl53_152
| ~ spl53_143
| spl53_146
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1936,f1479,f1957,f1944,f1983,f1952,f1979]) ).
fof(f1983,plain,
( spl53_152
<=> strictorderedP(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_152])]) ).
fof(f1936,plain,
( nil = sK0(sK26)
| ~ ssList(sK0(sK26))
| strictorderedP(sK0(sK26))
| ~ ssItem(sK1(sK26))
| ~ strictorderedP(sK26)
| ~ spl53_92 ),
inference(superposition,[],[f466,f1481]) ).
fof(f1977,plain,
( ~ spl53_143
| ~ spl53_147
| spl53_150
| ~ spl53_145
| spl53_146
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1942,f1479,f1957,f1952,f1974,f1961,f1944]) ).
fof(f1974,plain,
( spl53_150
<=> totalorderedP(sK0(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_150])]) ).
fof(f1942,plain,
( nil = sK0(sK26)
| ~ ssItem(sK1(sK26))
| totalorderedP(sK0(sK26))
| ~ totalorderedP(sK26)
| ~ ssList(sK0(sK26))
| ~ spl53_92 ),
inference(superposition,[],[f543,f1481]) ).
fof(f1972,plain,
( ~ spl53_145
| spl53_149
| ~ spl53_143
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1935,f1479,f1944,f1970,f1952]) ).
fof(f1935,plain,
( ! [X6,X7] :
( ~ ssList(sK0(sK26))
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(sK1(sK26))
| sK0(sK26) = X7
| cons(X6,X7) != sK26 )
| ~ spl53_92 ),
inference(superposition,[],[f414,f1481]) ).
fof(f1968,plain,
( ~ spl53_145
| spl53_146
| ~ spl53_147
| spl53_148
| ~ spl53_143
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1941,f1479,f1944,f1965,f1961,f1957,f1952]) ).
fof(f1941,plain,
( ~ ssList(sK0(sK26))
| leq(sK1(sK26),hd(sK0(sK26)))
| ~ totalorderedP(sK26)
| nil = sK0(sK26)
| ~ ssItem(sK1(sK26))
| ~ spl53_92 ),
inference(superposition,[],[f541,f1481]) ).
fof(f1955,plain,
( ~ spl53_143
| ~ spl53_144
| ~ spl53_145
| ~ spl53_92 ),
inference(avatar_split_clause,[],[f1939,f1479,f1952,f1948,f1944]) ).
fof(f1948,plain,
( spl53_144
<=> sK0(sK26) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_144])]) ).
fof(f1939,plain,
( ~ ssItem(sK1(sK26))
| sK0(sK26) != sK26
| ~ ssList(sK0(sK26))
| ~ spl53_92 ),
inference(superposition,[],[f498,f1481]) ).
fof(f1931,plain,
( spl53_142
| spl53_127
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1869,f1841,f1837,f1928]) ).
fof(f1928,plain,
( spl53_142
<=> cons(sK1(cons(sK29,sK26)),sK0(cons(sK29,sK26))) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_142])]) ).
fof(f1837,plain,
( spl53_127
<=> nil = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_127])]) ).
fof(f1869,plain,
( nil = cons(sK29,sK26)
| cons(sK1(cons(sK29,sK26)),sK0(cons(sK29,sK26))) = cons(sK29,sK26)
| ~ spl53_128 ),
inference(resolution,[],[f1842,f345]) ).
fof(f1926,plain,
( spl53_141
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1874,f1841,f1923]) ).
fof(f1923,plain,
( spl53_141
<=> cons(sK29,sK26) = app(cons(sK29,sK26),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_141])]) ).
fof(f1874,plain,
( cons(sK29,sK26) = app(cons(sK29,sK26),nil)
| ~ spl53_128 ),
inference(resolution,[],[f1842,f437]) ).
fof(f1921,plain,
( spl53_140
| ~ spl53_11
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1883,f1841,f651,f1918]) ).
fof(f1918,plain,
( spl53_140
<=> sK29 = hd(cons(sK29,cons(sK29,sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_140])]) ).
fof(f1883,plain,
( sK29 = hd(cons(sK29,cons(sK29,sK26)))
| ~ spl53_11
| ~ spl53_128 ),
inference(resolution,[],[f1842,f1122]) ).
fof(f1916,plain,
( spl53_139
| spl53_127
| ~ spl53_65
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1911,f1841,f1147,f1837,f1913]) ).
fof(f1913,plain,
( spl53_139
<=> sK29 = sK2(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_139])]) ).
fof(f1911,plain,
( nil = cons(sK29,sK26)
| sK29 = sK2(cons(sK29,sK26))
| ~ spl53_65
| ~ spl53_128 ),
inference(forward_demodulation,[],[f1871,f1149]) ).
fof(f1871,plain,
( nil = cons(sK29,sK26)
| sK2(cons(sK29,sK26)) = hd(cons(sK29,sK26))
| ~ spl53_128 ),
inference(resolution,[],[f1842,f352]) ).
fof(f1910,plain,
( spl53_138
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1877,f1841,f1907]) ).
fof(f1877,plain,
( app(nil,cons(sK29,sK26)) = cons(sK29,sK26)
| ~ spl53_128 ),
inference(resolution,[],[f1842,f493]) ).
fof(f1905,plain,
( spl53_137
| spl53_127
| ~ spl53_65
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1901,f1841,f1147,f1837,f1903]) ).
fof(f1903,plain,
( spl53_137
<=> ! [X5] :
( ~ ssList(X5)
| hd(app(cons(sK29,sK26),X5)) = sK29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_137])]) ).
fof(f1901,plain,
( ! [X5] :
( nil = cons(sK29,sK26)
| ~ ssList(X5)
| hd(app(cons(sK29,sK26),X5)) = sK29 )
| ~ spl53_65
| ~ spl53_128 ),
inference(forward_demodulation,[],[f1875,f1149]) ).
fof(f1875,plain,
( ! [X5] :
( nil = cons(sK29,sK26)
| hd(app(cons(sK29,sK26),X5)) = hd(cons(sK29,sK26))
| ~ ssList(X5) )
| ~ spl53_128 ),
inference(resolution,[],[f1842,f441]) ).
fof(f1900,plain,
( spl53_136
| ~ spl53_11
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1882,f1841,f651,f1897]) ).
fof(f1897,plain,
( spl53_136
<=> tl(cons(sK29,cons(sK29,sK26))) = cons(sK29,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_136])]) ).
fof(f1882,plain,
( tl(cons(sK29,cons(sK29,sK26))) = cons(sK29,sK26)
| ~ spl53_11
| ~ spl53_128 ),
inference(resolution,[],[f1842,f940]) ).
fof(f1894,plain,
( spl53_135
| ~ spl53_9
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1881,f1841,f642,f1891]) ).
fof(f1891,plain,
( spl53_135
<=> ssList(app(cons(sK29,sK26),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_135])]) ).
fof(f1881,plain,
( ssList(app(cons(sK29,sK26),sK25))
| ~ spl53_9
| ~ spl53_128 ),
inference(resolution,[],[f1842,f799]) ).
fof(f1889,plain,
( spl53_134
| spl53_127
| ~ spl53_61
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1884,f1841,f1107,f1837,f1886]) ).
fof(f1886,plain,
( spl53_134
<=> sK26 = sK46(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_134])]) ).
fof(f1107,plain,
( spl53_61
<=> tl(cons(sK29,sK26)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_61])]) ).
fof(f1884,plain,
( nil = cons(sK29,sK26)
| sK26 = sK46(cons(sK29,sK26))
| ~ spl53_61
| ~ spl53_128 ),
inference(forward_demodulation,[],[f1880,f1109]) ).
fof(f1109,plain,
( tl(cons(sK29,sK26)) = sK26
| ~ spl53_61 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1880,plain,
( nil = cons(sK29,sK26)
| tl(cons(sK29,sK26)) = sK46(cons(sK29,sK26))
| ~ spl53_128 ),
inference(resolution,[],[f1842,f518]) ).
fof(f1868,plain,
( ~ spl53_11
| ~ spl53_24
| spl53_128 ),
inference(avatar_split_clause,[],[f1867,f1841,f713,f651]) ).
fof(f1867,plain,
( ~ ssList(sK26)
| ~ ssItem(sK29)
| spl53_128 ),
inference(resolution,[],[f1843,f491]) ).
fof(f1843,plain,
( ~ ssList(cons(sK29,sK26))
| spl53_128 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1866,plain,
( ~ spl53_128
| spl53_127
| spl53_133
| ~ spl53_61
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1865,f1147,f1107,f1862,f1837,f1841]) ).
fof(f1862,plain,
( spl53_133
<=> ! [X1] :
( cons(sK29,sK26) = X1
| hd(X1) != sK29
| tl(X1) != sK26
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_133])]) ).
fof(f1865,plain,
( ! [X0] :
( tl(X0) != sK26
| nil = cons(sK29,sK26)
| nil = X0
| hd(X0) != sK29
| ~ ssList(X0)
| cons(sK29,sK26) = X0
| ~ ssList(cons(sK29,sK26)) )
| ~ spl53_61
| ~ spl53_65 ),
inference(forward_demodulation,[],[f1831,f1109]) ).
fof(f1831,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| nil = cons(sK29,sK26)
| hd(X0) != sK29
| ~ ssList(cons(sK29,sK26))
| tl(X0) != tl(cons(sK29,sK26))
| cons(sK29,sK26) = X0 )
| ~ spl53_65 ),
inference(superposition,[],[f397,f1149]) ).
fof(f397,plain,
! [X0,X1] :
( hd(X0) != hd(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| tl(X0) != tl(X1)
| X0 = X1
| hd(X0) != hd(X1)
| nil = X1
| nil = X0 )
| ~ ssList(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| nil = X1
| nil = X0
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil != X1
& nil != X0
& tl(X0) = tl(X1)
& hd(X0) = hd(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f1864,plain,
( spl53_127
| spl53_133
| ~ spl53_128
| ~ spl53_61
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1860,f1147,f1107,f1841,f1862,f1837]) ).
fof(f1860,plain,
( ! [X1] :
( ~ ssList(cons(sK29,sK26))
| cons(sK29,sK26) = X1
| nil = cons(sK29,sK26)
| ~ ssList(X1)
| nil = X1
| tl(X1) != sK26
| hd(X1) != sK29 )
| ~ spl53_61
| ~ spl53_65 ),
inference(forward_demodulation,[],[f1832,f1109]) ).
fof(f1832,plain,
( ! [X1] :
( cons(sK29,sK26) = X1
| hd(X1) != sK29
| ~ ssList(cons(sK29,sK26))
| ~ ssList(X1)
| tl(X1) != tl(cons(sK29,sK26))
| nil = X1
| nil = cons(sK29,sK26) )
| ~ spl53_65 ),
inference(superposition,[],[f397,f1149]) ).
fof(f1859,plain,
( spl53_127
| spl53_131
| ~ spl53_128
| ~ spl53_132
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1833,f1147,f1856,f1841,f1853,f1837]) ).
fof(f1853,plain,
( spl53_131
<=> ! [X2] :
( totalorderedP(cons(X2,cons(sK29,sK26)))
| ~ leq(X2,sK29)
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_131])]) ).
fof(f1856,plain,
( spl53_132
<=> totalorderedP(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_132])]) ).
fof(f1833,plain,
( ! [X2] :
( ~ totalorderedP(cons(sK29,sK26))
| ~ ssList(cons(sK29,sK26))
| totalorderedP(cons(X2,cons(sK29,sK26)))
| ~ ssItem(X2)
| ~ leq(X2,sK29)
| nil = cons(sK29,sK26) )
| ~ spl53_65 ),
inference(superposition,[],[f539,f1149]) ).
fof(f539,plain,
! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| nil = X1
| ~ ssList(X1)
| totalorderedP(cons(X0,X1))
| ~ totalorderedP(X1) ),
inference(cnf_transformation,[],[f337]) ).
fof(f1851,plain,
( spl53_127
| ~ spl53_128
| spl53_129
| ~ spl53_130
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1834,f1147,f1848,f1845,f1841,f1837]) ).
fof(f1845,plain,
( spl53_129
<=> ! [X3] :
( ~ ssItem(X3)
| ~ lt(X3,sK29)
| strictorderedP(cons(X3,cons(sK29,sK26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_129])]) ).
fof(f1848,plain,
( spl53_130
<=> strictorderedP(cons(sK29,sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_130])]) ).
fof(f1834,plain,
( ! [X3] :
( ~ strictorderedP(cons(sK29,sK26))
| ~ ssItem(X3)
| ~ ssList(cons(sK29,sK26))
| nil = cons(sK29,sK26)
| strictorderedP(cons(X3,cons(sK29,sK26)))
| ~ lt(X3,sK29) )
| ~ spl53_65 ),
inference(superposition,[],[f470,f1149]) ).
fof(f470,plain,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(X1)
| ~ ssList(X1)
| strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1829,plain,
( ~ spl53_21
| ~ spl53_1
| spl53_124
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1807,f1508,f1816,f604,f699]) ).
fof(f1807,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil = X7
| sK25 != cons(X6,X7)
| ~ ssList(nil)
| ~ ssItem(hd(sK25)) )
| ~ spl53_95 ),
inference(superposition,[],[f414,f1510]) ).
fof(f1828,plain,
( ~ spl53_21
| spl53_126
| ~ spl53_7
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1803,f1508,f633,f1825,f699]) ).
fof(f1803,plain,
( totalorderedP(sK25)
| ~ ssItem(hd(sK25))
| ~ spl53_7
| ~ spl53_95 ),
inference(superposition,[],[f634,f1510]) ).
fof(f1823,plain,
( ~ spl53_1
| spl53_125
| ~ spl53_21
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1805,f1508,f699,f1820,f604]) ).
fof(f1805,plain,
( ! [X2,X3] :
( ~ ssItem(hd(sK25))
| ~ ssList(X3)
| hd(sK25) = X2
| cons(X2,X3) != sK25
| ~ ssItem(X2)
| ~ ssList(nil) )
| ~ spl53_95 ),
inference(superposition,[],[f413,f1510]) ).
fof(f1822,plain,
( ~ spl53_21
| ~ spl53_1
| spl53_125
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1804,f1508,f1820,f604,f699]) ).
fof(f1804,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) != sK25
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(hd(sK25))
| hd(sK25) = X0 )
| ~ spl53_95 ),
inference(superposition,[],[f413,f1510]) ).
fof(f1818,plain,
( ~ spl53_1
| ~ spl53_21
| spl53_124
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1806,f1508,f1816,f699,f604]) ).
fof(f1806,plain,
( ! [X4,X5] :
( sK25 != cons(X4,X5)
| ~ ssList(X5)
| nil = X5
| ~ ssItem(hd(sK25))
| ~ ssList(nil)
| ~ ssItem(X4) )
| ~ spl53_95 ),
inference(superposition,[],[f414,f1510]) ).
fof(f1779,plain,
( spl53_123
| spl53_117
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1714,f1615,f1748,f1776]) ).
fof(f1714,plain,
( nil = app(sK26,sK25)
| sK2(app(sK26,sK25)) = hd(app(sK26,sK25))
| ~ spl53_101 ),
inference(resolution,[],[f1617,f352]) ).
fof(f1774,plain,
( spl53_122
| spl53_117
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1721,f1615,f1748,f1771]) ).
fof(f1721,plain,
( nil = app(sK26,sK25)
| app(sK26,sK25) = cons(hd(app(sK26,sK25)),tl(app(sK26,sK25)))
| ~ spl53_101 ),
inference(resolution,[],[f1617,f494]) ).
fof(f1769,plain,
( spl53_117
| spl53_121
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1718,f1615,f1767,f1748]) ).
fof(f1767,plain,
( spl53_121
<=> ! [X5] :
( hd(app(app(sK26,sK25),X5)) = hd(app(sK26,sK25))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_121])]) ).
fof(f1718,plain,
( ! [X5] :
( hd(app(app(sK26,sK25),X5)) = hd(app(sK26,sK25))
| nil = app(sK26,sK25)
| ~ ssList(X5) )
| ~ spl53_101 ),
inference(resolution,[],[f1617,f441]) ).
fof(f1765,plain,
( spl53_117
| spl53_120
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1723,f1615,f1762,f1748]) ).
fof(f1762,plain,
( spl53_120
<=> tl(app(sK26,sK25)) = sK46(app(sK26,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_120])]) ).
fof(f1723,plain,
( tl(app(sK26,sK25)) = sK46(app(sK26,sK25))
| nil = app(sK26,sK25)
| ~ spl53_101 ),
inference(resolution,[],[f1617,f518]) ).
fof(f1760,plain,
( spl53_119
| ~ spl53_11
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1725,f1615,f651,f1757]) ).
fof(f1757,plain,
( spl53_119
<=> app(sK26,sK25) = tl(cons(sK29,app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_119])]) ).
fof(f1725,plain,
( app(sK26,sK25) = tl(cons(sK29,app(sK26,sK25)))
| ~ spl53_11
| ~ spl53_101 ),
inference(resolution,[],[f1617,f940]) ).
fof(f1755,plain,
( spl53_117
| spl53_118
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1712,f1615,f1752,f1748]) ).
fof(f1752,plain,
( spl53_118
<=> app(sK26,sK25) = cons(sK1(app(sK26,sK25)),sK0(app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_118])]) ).
fof(f1712,plain,
( app(sK26,sK25) = cons(sK1(app(sK26,sK25)),sK0(app(sK26,sK25)))
| nil = app(sK26,sK25)
| ~ spl53_101 ),
inference(resolution,[],[f1617,f345]) ).
fof(f1746,plain,
( spl53_116
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1717,f1615,f1743]) ).
fof(f1743,plain,
( spl53_116
<=> app(sK26,sK25) = app(app(sK26,sK25),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_116])]) ).
fof(f1717,plain,
( app(sK26,sK25) = app(app(sK26,sK25),nil)
| ~ spl53_101 ),
inference(resolution,[],[f1617,f437]) ).
fof(f1741,plain,
( spl53_115
| ~ spl53_11
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1726,f1615,f651,f1738]) ).
fof(f1738,plain,
( spl53_115
<=> sK29 = hd(cons(sK29,app(sK26,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_115])]) ).
fof(f1726,plain,
( sK29 = hd(cons(sK29,app(sK26,sK25)))
| ~ spl53_11
| ~ spl53_101 ),
inference(resolution,[],[f1617,f1122]) ).
fof(f1736,plain,
( spl53_114
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1720,f1615,f1733]) ).
fof(f1733,plain,
( spl53_114
<=> app(nil,app(sK26,sK25)) = app(sK26,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_114])]) ).
fof(f1720,plain,
( app(nil,app(sK26,sK25)) = app(sK26,sK25)
| ~ spl53_101 ),
inference(resolution,[],[f1617,f493]) ).
fof(f1731,plain,
( spl53_113
| ~ spl53_9
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f1724,f1615,f642,f1728]) ).
fof(f1728,plain,
( spl53_113
<=> ssList(app(app(sK26,sK25),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_113])]) ).
fof(f1724,plain,
( ssList(app(app(sK26,sK25),sK25))
| ~ spl53_9
| ~ spl53_101 ),
inference(resolution,[],[f1617,f799]) ).
fof(f1701,plain,
( spl53_104
| spl53_112
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1643,f1609,f1698,f1660]) ).
fof(f1643,plain,
( app(sK25,sK25) = cons(hd(app(sK25,sK25)),tl(app(sK25,sK25)))
| nil = app(sK25,sK25)
| ~ spl53_100 ),
inference(resolution,[],[f1611,f494]) ).
fof(f1696,plain,
( spl53_104
| spl53_111
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1635,f1609,f1693,f1660]) ).
fof(f1693,plain,
( spl53_111
<=> app(sK25,sK25) = cons(sK1(app(sK25,sK25)),sK0(app(sK25,sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_111])]) ).
fof(f1635,plain,
( app(sK25,sK25) = cons(sK1(app(sK25,sK25)),sK0(app(sK25,sK25)))
| nil = app(sK25,sK25)
| ~ spl53_100 ),
inference(resolution,[],[f1611,f345]) ).
fof(f1691,plain,
( spl53_110
| spl53_104
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1637,f1609,f1660,f1688]) ).
fof(f1637,plain,
( nil = app(sK25,sK25)
| hd(app(sK25,sK25)) = sK2(app(sK25,sK25))
| ~ spl53_100 ),
inference(resolution,[],[f1611,f352]) ).
fof(f1686,plain,
( spl53_109
| spl53_104
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1645,f1609,f1660,f1683]) ).
fof(f1683,plain,
( spl53_109
<=> sK46(app(sK25,sK25)) = tl(app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_109])]) ).
fof(f1645,plain,
( nil = app(sK25,sK25)
| sK46(app(sK25,sK25)) = tl(app(sK25,sK25))
| ~ spl53_100 ),
inference(resolution,[],[f1611,f518]) ).
fof(f1681,plain,
( spl53_108
| ~ spl53_11
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1648,f1609,f651,f1678]) ).
fof(f1678,plain,
( spl53_108
<=> hd(cons(sK29,app(sK25,sK25))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_108])]) ).
fof(f1648,plain,
( hd(cons(sK29,app(sK25,sK25))) = sK29
| ~ spl53_11
| ~ spl53_100 ),
inference(resolution,[],[f1611,f1122]) ).
fof(f1676,plain,
( spl53_107
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1639,f1609,f1673]) ).
fof(f1673,plain,
( spl53_107
<=> app(app(sK25,sK25),nil) = app(sK25,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_107])]) ).
fof(f1639,plain,
( app(app(sK25,sK25),nil) = app(sK25,sK25)
| ~ spl53_100 ),
inference(resolution,[],[f1611,f437]) ).
fof(f1671,plain,
( spl53_106
| ~ spl53_9
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1646,f1609,f642,f1668]) ).
fof(f1668,plain,
( spl53_106
<=> ssList(app(app(sK25,sK25),sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_106])]) ).
fof(f1646,plain,
( ssList(app(app(sK25,sK25),sK25))
| ~ spl53_9
| ~ spl53_100 ),
inference(resolution,[],[f1611,f799]) ).
fof(f1666,plain,
( spl53_104
| spl53_105
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1640,f1609,f1664,f1660]) ).
fof(f1664,plain,
( spl53_105
<=> ! [X3] :
( hd(app(app(sK25,sK25),X3)) = hd(app(sK25,sK25))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_105])]) ).
fof(f1640,plain,
( ! [X3] :
( hd(app(app(sK25,sK25),X3)) = hd(app(sK25,sK25))
| nil = app(sK25,sK25)
| ~ ssList(X3) )
| ~ spl53_100 ),
inference(resolution,[],[f1611,f441]) ).
fof(f1658,plain,
( spl53_103
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1642,f1609,f1655]) ).
fof(f1655,plain,
( spl53_103
<=> app(sK25,sK25) = app(nil,app(sK25,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_103])]) ).
fof(f1642,plain,
( app(sK25,sK25) = app(nil,app(sK25,sK25))
| ~ spl53_100 ),
inference(resolution,[],[f1611,f493]) ).
fof(f1653,plain,
( spl53_102
| ~ spl53_11
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1647,f1609,f651,f1650]) ).
fof(f1650,plain,
( spl53_102
<=> tl(cons(sK29,app(sK25,sK25))) = app(sK25,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_102])]) ).
fof(f1647,plain,
( tl(cons(sK29,app(sK25,sK25))) = app(sK25,sK25)
| ~ spl53_11
| ~ spl53_100 ),
inference(resolution,[],[f1611,f940]) ).
fof(f1618,plain,
( spl53_101
| ~ spl53_9
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1605,f713,f642,f1615]) ).
fof(f1605,plain,
( ssList(app(sK26,sK25))
| ~ spl53_9
| ~ spl53_24 ),
inference(resolution,[],[f799,f715]) ).
fof(f1612,plain,
( spl53_100
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1604,f642,f1609]) ).
fof(f1604,plain,
( ssList(app(sK25,sK25))
| ~ spl53_9 ),
inference(resolution,[],[f799,f644]) ).
fof(f1574,plain,
( spl53_52
| spl53_99
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1563,f713,f1572,f969]) ).
fof(f1563,plain,
( ! [X9] :
( ~ ssList(X9)
| nil = sK26
| hd(app(sK26,X9)) = hd(sK26) )
| ~ spl53_24 ),
inference(resolution,[],[f441,f715]) ).
fof(f1570,plain,
( spl53_37
| spl53_98
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1562,f642,f1568,f805]) ).
fof(f1562,plain,
( ! [X8] :
( ~ ssList(X8)
| nil = sK25
| hd(app(sK25,X8)) = hd(sK25) )
| ~ spl53_9 ),
inference(resolution,[],[f441,f644]) ).
fof(f1534,plain,
( ~ spl53_97
| ~ spl53_36
| spl53_86
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1529,f1508,f1402,f791,f1531]) ).
fof(f1531,plain,
( spl53_97
<=> sK25 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_97])]) ).
fof(f1529,plain,
( sK25 != sK26
| ~ spl53_36
| spl53_86
| ~ spl53_95 ),
inference(forward_demodulation,[],[f1517,f793]) ).
fof(f1517,plain,
( app(nil,sK25) != sK26
| spl53_86
| ~ spl53_95 ),
inference(backward_demodulation,[],[f1404,f1510]) ).
fof(f1528,plain,
( ~ spl53_96
| spl53_83
| ~ spl53_95 ),
inference(avatar_split_clause,[],[f1516,f1508,f1376,f1525]) ).
fof(f1516,plain,
( nil != app(nil,sK25)
| spl53_83
| ~ spl53_95 ),
inference(backward_demodulation,[],[f1378,f1510]) ).
fof(f1511,plain,
( spl53_95
| spl53_37
| ~ spl53_9
| ~ spl53_77 ),
inference(avatar_split_clause,[],[f1503,f1337,f642,f805,f1508]) ).
fof(f1503,plain,
( nil = sK25
| sK25 = cons(hd(sK25),nil)
| ~ spl53_9
| ~ spl53_77 ),
inference(forward_demodulation,[],[f1492,f1339]) ).
fof(f1339,plain,
( nil = tl(sK25)
| ~ spl53_77 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1506,plain,
( spl53_37
| ~ spl53_9
| ~ spl53_77
| ~ spl53_87 ),
inference(avatar_split_clause,[],[f1505,f1423,f1337,f642,f805]) ).
fof(f1505,plain,
( nil = sK25
| ~ spl53_9
| ~ spl53_77
| ~ spl53_87 ),
inference(duplicate_literal_removal,[],[f1504]) ).
fof(f1504,plain,
( nil = sK25
| nil = sK25
| ~ spl53_9
| ~ spl53_77
| ~ spl53_87 ),
inference(forward_demodulation,[],[f1503,f1425]) ).
fof(f1425,plain,
( nil = cons(hd(sK25),nil)
| ~ spl53_87 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1501,plain,
( spl53_94
| spl53_52
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1493,f713,f969,f1498]) ).
fof(f1493,plain,
( nil = sK26
| cons(hd(sK26),tl(sK26)) = sK26
| ~ spl53_24 ),
inference(resolution,[],[f494,f715]) ).
fof(f1487,plain,
( spl53_93
| spl53_37
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1473,f642,f805,f1484]) ).
fof(f1473,plain,
( nil = sK25
| cons(sK1(sK25),sK0(sK25)) = sK25
| ~ spl53_9 ),
inference(resolution,[],[f345,f644]) ).
fof(f1482,plain,
( spl53_92
| spl53_52
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1474,f713,f969,f1479]) ).
fof(f1474,plain,
( nil = sK26
| cons(sK1(sK26),sK0(sK26)) = sK26
| ~ spl53_24 ),
inference(resolution,[],[f345,f715]) ).
fof(f1448,plain,
( spl53_87
| ~ spl53_45
| ~ spl53_83 ),
inference(avatar_split_clause,[],[f1447,f1376,f871,f1423]) ).
fof(f1447,plain,
( nil = cons(hd(sK25),nil)
| ~ spl53_45
| ~ spl53_83 ),
inference(backward_demodulation,[],[f873,f1377]) ).
fof(f1377,plain,
( nil = app(nil,cons(hd(sK25),nil))
| ~ spl53_83 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1445,plain,
( spl53_91
| ~ spl53_11
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f1420,f691,f651,f1442]) ).
fof(f1420,plain,
( tl(cons(sK29,cons(hd(sK25),nil))) = cons(hd(sK25),nil)
| ~ spl53_11
| ~ spl53_19 ),
inference(resolution,[],[f692,f940]) ).
fof(f1440,plain,
( spl53_90
| ~ spl53_11
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f1421,f691,f651,f1437]) ).
fof(f1421,plain,
( hd(cons(sK29,cons(hd(sK25),nil))) = sK29
| ~ spl53_11
| ~ spl53_19 ),
inference(resolution,[],[f692,f1122]) ).
fof(f1435,plain,
( spl53_87
| spl53_89
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f1419,f691,f1432,f1423]) ).
fof(f1419,plain,
( tl(cons(hd(sK25),nil)) = sK46(cons(hd(sK25),nil))
| nil = cons(hd(sK25),nil)
| ~ spl53_19 ),
inference(resolution,[],[f692,f518]) ).
fof(f1430,plain,
( spl53_87
| spl53_88
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f1415,f691,f1427,f1423]) ).
fof(f1415,plain,
( sK2(cons(hd(sK25),nil)) = hd(cons(hd(sK25),nil))
| nil = cons(hd(sK25),nil)
| ~ spl53_19 ),
inference(resolution,[],[f692,f352]) ).
fof(f1405,plain,
( ~ spl53_86
| spl53_20
| ~ spl53_77 ),
inference(avatar_split_clause,[],[f1400,f1337,f695,f1402]) ).
fof(f1400,plain,
( app(nil,cons(hd(sK25),nil)) != sK26
| spl53_20
| ~ spl53_77 ),
inference(forward_demodulation,[],[f697,f1339]) ).
fof(f1399,plain,
( spl53_85
| ~ spl53_23
| ~ spl53_49 ),
inference(avatar_split_clause,[],[f1394,f954,f708,f1396]) ).
fof(f1396,plain,
( spl53_85
<=> app(nil,cons(sK29,nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_85])]) ).
fof(f708,plain,
( spl53_23
<=> app(sK30,cons(sK29,nil)) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f1394,plain,
( app(nil,cons(sK29,nil)) = sK26
| ~ spl53_23
| ~ spl53_49 ),
inference(forward_demodulation,[],[f710,f956]) ).
fof(f956,plain,
( nil = sK30
| ~ spl53_49 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f710,plain,
( app(sK30,cons(sK29,nil)) = sK26
| ~ spl53_23 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f1393,plain,
( ~ spl53_69
| ~ spl53_49
| spl53_53 ),
inference(avatar_split_clause,[],[f1392,f990,f954,f1252]) ).
fof(f1252,plain,
( spl53_69
<=> nil = app(nil,cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_69])]) ).
fof(f990,plain,
( spl53_53
<=> nil = app(sK30,cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_53])]) ).
fof(f1392,plain,
( nil != app(nil,cons(sK29,nil))
| ~ spl53_49
| spl53_53 ),
inference(forward_demodulation,[],[f991,f956]) ).
fof(f991,plain,
( nil != app(sK30,cons(sK29,nil))
| spl53_53 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1391,plain,
( ~ spl53_84
| ~ spl53_39 ),
inference(avatar_split_clause,[],[f1384,f831,f1388]) ).
fof(f1388,plain,
( spl53_84
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_84])]) ).
fof(f831,plain,
( spl53_39
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_39])]) ).
fof(f1384,plain,
( ~ ssItem(nil)
| ~ spl53_39 ),
inference(resolution,[],[f832,f600]) ).
fof(f600,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f585,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( X0 != X1
<=> neq(X0,X1) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f832,plain,
( neq(nil,nil)
| ~ spl53_39 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1386,plain,
( ~ spl53_1
| ~ spl53_39 ),
inference(avatar_split_clause,[],[f1385,f831,f604]) ).
fof(f1385,plain,
( ~ ssList(nil)
| ~ spl53_39 ),
inference(resolution,[],[f832,f595]) ).
fof(f595,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f581]) ).
fof(f581,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f487]) ).
fof(f487,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1379,plain,
( ~ spl53_83
| spl53_56
| ~ spl53_77 ),
inference(avatar_split_clause,[],[f1363,f1337,f1020,f1376]) ).
fof(f1363,plain,
( nil != app(nil,cons(hd(sK25),nil))
| spl53_56
| ~ spl53_77 ),
inference(backward_demodulation,[],[f1022,f1339]) ).
fof(f1373,plain,
( spl53_82
| ~ spl53_72
| ~ spl53_77 ),
inference(avatar_split_clause,[],[f1364,f1337,f1298,f1370]) ).
fof(f1298,plain,
( spl53_72
<=> tl(sK25) = sK46(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_72])]) ).
fof(f1364,plain,
( nil = sK46(sK25)
| ~ spl53_72
| ~ spl53_77 ),
inference(backward_demodulation,[],[f1300,f1339]) ).
fof(f1300,plain,
( tl(sK25) = sK46(sK25)
| ~ spl53_72 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1360,plain,
( spl53_81
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1322,f703,f1357]) ).
fof(f1322,plain,
( tl(sK25) = app(tl(sK25),nil)
| ~ spl53_22 ),
inference(resolution,[],[f704,f437]) ).
fof(f1355,plain,
( spl53_80
| ~ spl53_11
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1325,f703,f651,f1352]) ).
fof(f1325,plain,
( tl(sK25) = tl(cons(sK29,tl(sK25)))
| ~ spl53_11
| ~ spl53_22 ),
inference(resolution,[],[f704,f940]) ).
fof(f1350,plain,
( spl53_79
| spl53_77
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1320,f703,f1337,f1347]) ).
fof(f1320,plain,
( nil = tl(sK25)
| hd(tl(sK25)) = sK2(tl(sK25))
| ~ spl53_22 ),
inference(resolution,[],[f704,f352]) ).
fof(f1345,plain,
( spl53_78
| ~ spl53_11
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1326,f703,f651,f1342]) ).
fof(f1326,plain,
( hd(cons(sK29,tl(sK25))) = sK29
| ~ spl53_11
| ~ spl53_22 ),
inference(resolution,[],[f704,f1122]) ).
fof(f1340,plain,
( spl53_76
| spl53_77
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1324,f703,f1337,f1333]) ).
fof(f1324,plain,
( nil = tl(sK25)
| sK46(tl(sK25)) = tl(tl(sK25))
| ~ spl53_22 ),
inference(resolution,[],[f704,f518]) ).
fof(f1331,plain,
( spl53_75
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f1323,f703,f1328]) ).
fof(f1323,plain,
( tl(sK25) = app(nil,tl(sK25))
| ~ spl53_22 ),
inference(resolution,[],[f704,f493]) ).
fof(f1319,plain,
( spl53_37
| ~ spl53_9
| spl53_22 ),
inference(avatar_split_clause,[],[f1318,f703,f642,f805]) ).
fof(f1318,plain,
( ~ ssList(sK25)
| nil = sK25
| spl53_22 ),
inference(resolution,[],[f705,f507]) ).
fof(f705,plain,
( ~ ssList(tl(sK25))
| spl53_22 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1315,plain,
( ~ spl53_9
| spl53_37
| ~ spl53_1
| spl53_17 ),
inference(avatar_split_clause,[],[f1314,f683,f604,f805,f642]) ).
fof(f683,plain,
( spl53_17
<=> neq(nil,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_17])]) ).
fof(f1314,plain,
( ~ ssList(nil)
| nil = sK25
| ~ ssList(sK25)
| spl53_17 ),
inference(resolution,[],[f685,f488]) ).
fof(f488,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f685,plain,
( ~ neq(nil,sK25)
| spl53_17 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f1313,plain,
( spl53_37
| ~ spl53_1
| ~ spl53_9
| spl53_16 ),
inference(avatar_split_clause,[],[f1312,f679,f642,f604,f805]) ).
fof(f679,plain,
( spl53_16
<=> neq(sK25,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_16])]) ).
fof(f1312,plain,
( ~ ssList(sK25)
| ~ ssList(nil)
| nil = sK25
| spl53_16 ),
inference(resolution,[],[f681,f488]) ).
fof(f681,plain,
( ~ neq(sK25,nil)
| spl53_16 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f1311,plain,
( spl53_74
| ~ spl53_9
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f1296,f651,f642,f1308]) ).
fof(f1308,plain,
( spl53_74
<=> hd(cons(sK29,sK25)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_74])]) ).
fof(f1296,plain,
( hd(cons(sK29,sK25)) = sK29
| ~ spl53_9
| ~ spl53_11 ),
inference(resolution,[],[f644,f1122]) ).
fof(f1306,plain,
( spl53_73
| ~ spl53_9
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f1295,f651,f642,f1303]) ).
fof(f1303,plain,
( spl53_73
<=> sK25 = tl(cons(sK29,sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_73])]) ).
fof(f1295,plain,
( sK25 = tl(cons(sK29,sK25))
| ~ spl53_9
| ~ spl53_11 ),
inference(resolution,[],[f644,f940]) ).
fof(f1301,plain,
( spl53_72
| spl53_37
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1294,f642,f805,f1298]) ).
fof(f1294,plain,
( nil = sK25
| tl(sK25) = sK46(sK25)
| ~ spl53_9 ),
inference(resolution,[],[f644,f518]) ).
fof(f1289,plain,
( spl53_71
| ~ spl53_25
| ~ spl53_49 ),
inference(avatar_split_clause,[],[f1284,f954,f722,f1286]) ).
fof(f1284,plain,
( app(cons(sK29,nil),nil) = sK25
| ~ spl53_25
| ~ spl53_49 ),
inference(forward_demodulation,[],[f724,f956]) ).
fof(f1279,plain,
( ~ spl53_68
| ~ spl53_49
| spl53_66 ),
inference(avatar_split_clause,[],[f1250,f1171,f954,f1208]) ).
fof(f1171,plain,
( spl53_66
<=> tl(sK30) = sK46(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_66])]) ).
fof(f1250,plain,
( sK46(nil) != tl(nil)
| ~ spl53_49
| spl53_66 ),
inference(backward_demodulation,[],[f1172,f956]) ).
fof(f1172,plain,
( tl(sK30) != sK46(sK30)
| spl53_66 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1270,plain,
( ~ spl53_70
| spl53_42
| ~ spl53_49 ),
inference(avatar_split_clause,[],[f1231,f954,f846,f1267]) ).
fof(f1267,plain,
( spl53_70
<=> nil = app(cons(sK29,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_70])]) ).
fof(f1231,plain,
( nil != app(cons(sK29,nil),nil)
| spl53_42
| ~ spl53_49 ),
inference(backward_demodulation,[],[f847,f956]) ).
fof(f847,plain,
( nil != app(cons(sK29,nil),sK30)
| spl53_42 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1255,plain,
( spl53_69
| ~ spl53_49
| ~ spl53_53 ),
inference(avatar_split_clause,[],[f1241,f990,f954,f1252]) ).
fof(f1241,plain,
( nil = app(nil,cons(sK29,nil))
| ~ spl53_49
| ~ spl53_53 ),
inference(backward_demodulation,[],[f992,f956]) ).
fof(f992,plain,
( nil = app(sK30,cons(sK29,nil))
| ~ spl53_53 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1211,plain,
( ~ spl53_68
| ~ spl53_52
| spl53_67 ),
inference(avatar_split_clause,[],[f1205,f1176,f969,f1208]) ).
fof(f1176,plain,
( spl53_67
<=> tl(sK26) = sK46(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_67])]) ).
fof(f1205,plain,
( sK46(nil) != tl(nil)
| ~ spl53_52
| spl53_67 ),
inference(backward_demodulation,[],[f1177,f971]) ).
fof(f971,plain,
( nil = sK26
| ~ spl53_52 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1177,plain,
( tl(sK26) != sK46(sK26)
| spl53_67 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1183,plain,
( spl53_52
| ~ spl53_23
| ~ spl53_53 ),
inference(avatar_split_clause,[],[f1182,f990,f708,f969]) ).
fof(f1182,plain,
( nil = sK26
| ~ spl53_23
| ~ spl53_53 ),
inference(backward_demodulation,[],[f710,f992]) ).
fof(f1181,plain,
( spl53_53
| ~ spl53_23
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f974,f969,f708,f990]) ).
fof(f974,plain,
( nil = app(sK30,cons(sK29,nil))
| ~ spl53_23
| ~ spl53_52 ),
inference(backward_demodulation,[],[f710,f971]) ).
fof(f1180,plain,
( spl53_39
| ~ spl53_10
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f973,f969,f647,f831]) ).
fof(f647,plain,
( spl53_10
<=> neq(sK26,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f973,plain,
( neq(nil,nil)
| ~ spl53_10
| ~ spl53_52 ),
inference(backward_demodulation,[],[f649,f971]) ).
fof(f649,plain,
( neq(sK26,nil)
| ~ spl53_10 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1179,plain,
( spl53_52
| spl53_67
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1164,f713,f1176,f969]) ).
fof(f1164,plain,
( tl(sK26) = sK46(sK26)
| nil = sK26
| ~ spl53_24 ),
inference(resolution,[],[f518,f715]) ).
fof(f1174,plain,
( spl53_66
| spl53_49
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f1165,f662,f954,f1171]) ).
fof(f1165,plain,
( nil = sK30
| tl(sK30) = sK46(sK30)
| ~ spl53_13 ),
inference(resolution,[],[f518,f664]) ).
fof(f1150,plain,
( spl53_65
| ~ spl53_11
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1132,f713,f651,f1147]) ).
fof(f1132,plain,
( sK29 = hd(cons(sK29,sK26))
| ~ spl53_11
| ~ spl53_24 ),
inference(resolution,[],[f1122,f715]) ).
fof(f1144,plain,
( spl53_64
| ~ spl53_11
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f1133,f662,f651,f1141]) ).
fof(f1133,plain,
( sK29 = hd(cons(sK29,sK30))
| ~ spl53_11
| ~ spl53_13 ),
inference(resolution,[],[f1122,f664]) ).
fof(f1139,plain,
( spl53_63
| ~ spl53_1
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f1129,f651,f604,f1136]) ).
fof(f1136,plain,
( spl53_63
<=> hd(cons(sK29,nil)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_63])]) ).
fof(f1129,plain,
( hd(cons(sK29,nil)) = sK29
| ~ spl53_1
| ~ spl53_11 ),
inference(resolution,[],[f1122,f605]) ).
fof(f1116,plain,
( spl53_62
| ~ spl53_1
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f1095,f651,f604,f1113]) ).
fof(f1113,plain,
( spl53_62
<=> nil = tl(cons(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_62])]) ).
fof(f1095,plain,
( nil = tl(cons(sK29,nil))
| ~ spl53_1
| ~ spl53_11 ),
inference(resolution,[],[f940,f605]) ).
fof(f1110,plain,
( spl53_61
| ~ spl53_11
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f1098,f713,f651,f1107]) ).
fof(f1098,plain,
( tl(cons(sK29,sK26)) = sK26
| ~ spl53_11
| ~ spl53_24 ),
inference(resolution,[],[f940,f715]) ).
fof(f1105,plain,
( spl53_60
| ~ spl53_11
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f1099,f662,f651,f1102]) ).
fof(f1099,plain,
( tl(cons(sK29,sK30)) = sK30
| ~ spl53_11
| ~ spl53_13 ),
inference(resolution,[],[f940,f664]) ).
fof(f1077,plain,
( ~ spl53_44
| spl53_21
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f1076,f805,f699,f859]) ).
fof(f859,plain,
( spl53_44
<=> ssItem(hd(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_44])]) ).
fof(f1076,plain,
( ~ ssItem(hd(nil))
| spl53_21
| ~ spl53_37 ),
inference(forward_demodulation,[],[f701,f807]) ).
fof(f701,plain,
( ~ ssItem(hd(sK25))
| spl53_21 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1075,plain,
( ~ spl53_1
| ~ spl53_44
| spl53_40 ),
inference(avatar_split_clause,[],[f906,f836,f859,f604]) ).
fof(f906,plain,
( ~ ssItem(hd(nil))
| ~ ssList(nil)
| spl53_40 ),
inference(resolution,[],[f838,f491]) ).
fof(f838,plain,
( ~ ssList(cons(hd(nil),nil))
| spl53_40 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1074,plain,
( spl53_58
| spl53_59
| ~ spl53_40 ),
inference(avatar_split_clause,[],[f1062,f836,f1071,f1067]) ).
fof(f1067,plain,
( spl53_58
<=> hd(cons(hd(nil),nil)) = sK2(cons(hd(nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_58])]) ).
fof(f1071,plain,
( spl53_59
<=> nil = cons(hd(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_59])]) ).
fof(f1062,plain,
( nil = cons(hd(nil),nil)
| hd(cons(hd(nil),nil)) = sK2(cons(hd(nil),nil))
| ~ spl53_40 ),
inference(resolution,[],[f837,f352]) ).
fof(f1040,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f1039,f846,f722,f805]) ).
fof(f1038,plain,
( ~ spl53_39
| spl53_17
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f884,f805,f683,f831]) ).
fof(f884,plain,
( ~ neq(nil,nil)
| spl53_17
| ~ spl53_37 ),
inference(backward_demodulation,[],[f685,f807]) ).
fof(f1037,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f880,f846,f722,f805]) ).
fof(f1036,plain,
( spl53_42
| ~ spl53_25
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f821,f805,f722,f846]) ).
fof(f1035,plain,
( ~ spl53_39
| spl53_17
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f816,f805,f683,f831]) ).
fof(f816,plain,
( ~ neq(nil,nil)
| spl53_17
| ~ spl53_37 ),
inference(backward_demodulation,[],[f685,f807]) ).
fof(f1034,plain,
( ~ spl53_39
| spl53_16
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f883,f805,f679,f831]) ).
fof(f883,plain,
( ~ neq(nil,nil)
| spl53_16
| ~ spl53_37 ),
inference(backward_demodulation,[],[f681,f807]) ).
fof(f1033,plain,
( ~ spl53_39
| spl53_16
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f815,f805,f679,f831]) ).
fof(f815,plain,
( ~ neq(nil,nil)
| spl53_16
| ~ spl53_37 ),
inference(backward_demodulation,[],[f681,f807]) ).
fof(f1032,plain,
( spl53_37
| spl53_57
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f1024,f642,f1029,f805]) ).
fof(f1024,plain,
( sK2(sK25) = hd(sK25)
| nil = sK25
| ~ spl53_9 ),
inference(resolution,[],[f644,f352]) ).
fof(f1023,plain,
( ~ spl53_56
| spl53_20
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f1018,f969,f695,f1020]) ).
fof(f1018,plain,
( nil != app(tl(sK25),cons(hd(sK25),nil))
| spl53_20
| ~ spl53_52 ),
inference(forward_demodulation,[],[f697,f971]) ).
fof(f1014,plain,
( ~ spl53_55
| spl53_38
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f979,f969,f826,f1011]) ).
fof(f979,plain,
( nil != app(tl(nil),cons(hd(nil),nil))
| spl53_38
| ~ spl53_52 ),
inference(backward_demodulation,[],[f828,f971]) ).
fof(f828,plain,
( app(tl(nil),cons(hd(nil),nil)) != sK26
| spl53_38 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f1000,plain,
( ~ spl53_54
| spl53_51
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f988,f969,f965,f997]) ).
fof(f965,plain,
( spl53_51
<=> hd(sK26) = sK2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_51])]) ).
fof(f988,plain,
( sK2(nil) != hd(nil)
| spl53_51
| ~ spl53_52 ),
inference(backward_demodulation,[],[f966,f971]) ).
fof(f966,plain,
( hd(sK26) != sK2(sK26)
| spl53_51 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f994,plain,
( spl53_39
| ~ spl53_10
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f973,f969,f647,f831]) ).
fof(f993,plain,
( spl53_53
| ~ spl53_23
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f974,f969,f708,f990]) ).
fof(f972,plain,
( spl53_51
| spl53_52
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f949,f713,f969,f965]) ).
fof(f949,plain,
( nil = sK26
| hd(sK26) = sK2(sK26)
| ~ spl53_24 ),
inference(resolution,[],[f352,f715]) ).
fof(f961,plain,
( spl53_49
| spl53_50
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f950,f662,f958,f954]) ).
fof(f958,plain,
( spl53_50
<=> sK2(sK30) = hd(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_50])]) ).
fof(f950,plain,
( sK2(sK30) = hd(sK30)
| nil = sK30
| ~ spl53_13 ),
inference(resolution,[],[f352,f664]) ).
fof(f904,plain,
( ~ spl53_48
| ~ spl53_37
| spl53_45 ),
inference(avatar_split_clause,[],[f893,f871,f805,f901]) ).
fof(f899,plain,
( ~ spl53_47
| ~ spl53_37
| spl53_46 ),
inference(avatar_split_clause,[],[f894,f876,f805,f896]) ).
fof(f881,plain,
( spl53_37
| ~ spl53_25
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f880,f846,f722,f805]) ).
fof(f879,plain,
( spl53_46
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f869,f691,f876]) ).
fof(f869,plain,
( cons(hd(sK25),nil) = app(cons(hd(sK25),nil),nil)
| ~ spl53_19 ),
inference(resolution,[],[f692,f437]) ).
fof(f874,plain,
( spl53_45
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f868,f691,f871]) ).
fof(f868,plain,
( app(nil,cons(hd(sK25),nil)) = cons(hd(sK25),nil)
| ~ spl53_19 ),
inference(resolution,[],[f692,f493]) ).
fof(f862,plain,
( ~ spl53_44
| spl53_21
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f857,f805,f699,f859]) ).
fof(f857,plain,
( ~ ssItem(hd(nil))
| spl53_21
| ~ spl53_37 ),
inference(forward_demodulation,[],[f701,f807]) ).
fof(f855,plain,
( ~ spl53_39
| spl53_17
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f816,f805,f683,f831]) ).
fof(f854,plain,
( ~ spl53_43
| spl53_18
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f817,f805,f687,f851]) ).
fof(f851,plain,
( spl53_43
<=> ssList(app(tl(nil),cons(hd(nil),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_43])]) ).
fof(f817,plain,
( ~ ssList(app(tl(nil),cons(hd(nil),nil)))
| spl53_18
| ~ spl53_37 ),
inference(backward_demodulation,[],[f689,f807]) ).
fof(f689,plain,
( ~ ssList(app(tl(sK25),cons(hd(sK25),nil)))
| spl53_18 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f849,plain,
( spl53_42
| ~ spl53_25
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f821,f805,f722,f846]) ).
fof(f844,plain,
( ~ spl53_41
| spl53_22
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f820,f805,f703,f841]) ).
fof(f820,plain,
( ~ ssList(tl(nil))
| spl53_22
| ~ spl53_37 ),
inference(backward_demodulation,[],[f705,f807]) ).
fof(f839,plain,
( ~ spl53_40
| spl53_19
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f818,f805,f691,f836]) ).
fof(f818,plain,
( ~ ssList(cons(hd(nil),nil))
| spl53_19
| ~ spl53_37 ),
inference(backward_demodulation,[],[f693,f807]) ).
fof(f834,plain,
( ~ spl53_39
| spl53_16
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f815,f805,f679,f831]) ).
fof(f829,plain,
( ~ spl53_38
| spl53_20
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f819,f805,f695,f826]) ).
fof(f819,plain,
( app(tl(nil),cons(hd(nil),nil)) != sK26
| spl53_20
| ~ spl53_37 ),
inference(backward_demodulation,[],[f697,f807]) ).
fof(f813,plain,
( ~ spl53_1
| ~ spl53_21
| spl53_19 ),
inference(avatar_split_clause,[],[f809,f691,f699,f604]) ).
fof(f808,plain,
( ~ spl53_9
| spl53_37
| spl53_21 ),
inference(avatar_split_clause,[],[f803,f699,f805,f642]) ).
fof(f803,plain,
( nil = sK25
| ~ ssList(sK25)
| spl53_21 ),
inference(resolution,[],[f404,f701]) ).
fof(f794,plain,
( spl53_36
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f777,f642,f791]) ).
fof(f777,plain,
( sK25 = app(nil,sK25)
| ~ spl53_9 ),
inference(resolution,[],[f493,f644]) ).
fof(f789,plain,
( spl53_35
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f779,f662,f786]) ).
fof(f786,plain,
( spl53_35
<=> app(nil,sK30) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_35])]) ).
fof(f779,plain,
( app(nil,sK30) = sK30
| ~ spl53_13 ),
inference(resolution,[],[f493,f664]) ).
fof(f784,plain,
( spl53_34
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f778,f713,f781]) ).
fof(f778,plain,
( app(nil,sK26) = sK26
| ~ spl53_24 ),
inference(resolution,[],[f493,f715]) ).
fof(f775,plain,
( spl53_33
| ~ spl53_1 ),
inference(avatar_split_clause,[],[f770,f604,f772]) ).
fof(f770,plain,
( nil = app(nil,nil)
| ~ spl53_1 ),
inference(resolution,[],[f605,f437]) ).
fof(f769,plain,
( spl53_32
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f753,f662,f766]) ).
fof(f766,plain,
( spl53_32
<=> app(sK30,nil) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_32])]) ).
fof(f753,plain,
( app(sK30,nil) = sK30
| ~ spl53_13 ),
inference(resolution,[],[f437,f664]) ).
fof(f764,plain,
( spl53_31
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f752,f642,f761]) ).
fof(f761,plain,
( spl53_31
<=> sK25 = app(sK25,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_31])]) ).
fof(f752,plain,
( sK25 = app(sK25,nil)
| ~ spl53_9 ),
inference(resolution,[],[f437,f644]) ).
fof(f759,plain,
( spl53_30
| ~ spl53_24 ),
inference(avatar_split_clause,[],[f754,f713,f756]) ).
fof(f754,plain,
( app(sK26,nil) = sK26
| ~ spl53_24 ),
inference(resolution,[],[f437,f715]) ).
fof(f751,plain,
spl53_7,
inference(avatar_split_clause,[],[f474,f633]) ).
fof(f474,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f749,plain,
spl53_29,
inference(avatar_split_clause,[],[f370,f746]) ).
fof(f746,plain,
( spl53_29
<=> ssItem(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_29])]) ).
fof(f370,plain,
ssItem(sK10),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ssItem(sK10)
& sK10 != sK11
& ssItem(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f2,f243,f242]) ).
fof(f242,plain,
( ? [X0] :
( ssItem(X0)
& ? [X1] :
( X0 != X1
& ssItem(X1) ) )
=> ( ssItem(sK10)
& ? [X1] :
( sK10 != X1
& ssItem(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X1] :
( sK10 != X1
& ssItem(X1) )
=> ( sK10 != sK11
& ssItem(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ssItem(X0)
& ? [X1] :
( X0 != X1
& ssItem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f744,plain,
spl53_28,
inference(avatar_split_clause,[],[f547,f741]) ).
fof(f741,plain,
( spl53_28
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_28])]) ).
fof(f547,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f739,plain,
spl53_24,
inference(avatar_split_clause,[],[f556,f713]) ).
fof(f556,plain,
ssList(sK26),
inference(definition_unfolding,[],[f420,f421]) ).
fof(f421,plain,
sK28 = sK26,
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ssList(sK26)
& sK27 = sK25
& ( ( neq(sK26,nil)
& ssItem(sK29)
& app(sK30,cons(sK29,nil)) = sK28
& sK27 = app(cons(sK29,nil),sK30)
& ssList(sK30)
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(sK28,nil) ) )
& sK28 = sK26
& ssList(sK28)
& ssList(sK27)
& ssList(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29,sK30])],[f277,f283,f282,f281,f280,f279,f278]) ).
fof(f278,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(X0) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(X0) != X9
| ~ neq(nil,X0)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,X0)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| X1 != X6 )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK25 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| X1 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK25 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| X1 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
=> ( ssList(sK26)
& ? [X2] :
( ? [X3] :
( sK25 = X2
& ( ( neq(sK26,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(X3,nil) ) )
& sK26 = X3
& ssList(X3) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X2] :
( ? [X3] :
( sK25 = X2
& ( ( neq(sK26,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(X3,nil) ) )
& sK26 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( sK27 = sK25
& ( ( neq(sK26,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK27
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(X3,nil) ) )
& sK26 = X3
& ssList(X3) )
& ssList(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ? [X3] :
( sK27 = sK25
& ( ( neq(sK26,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK27
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(X3,nil) ) )
& sK26 = X3
& ssList(X3) )
=> ( sK27 = sK25
& ( ( neq(sK26,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = sK28
& app(cons(X4,nil),X5) = sK27
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(sK25) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| sK26 != X6 )
| ~ neq(sK25,nil) ) )
| ( neq(sK26,nil)
& ~ neq(sK28,nil) ) )
& sK28 = sK26
& ssList(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
( ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = sK28
& app(cons(X4,nil),X5) = sK27
& ssList(X5) ) )
=> ( ssItem(sK29)
& ? [X5] :
( app(X5,cons(sK29,nil)) = sK28
& sK27 = app(cons(sK29,nil),X5)
& ssList(X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
( ? [X5] :
( app(X5,cons(sK29,nil)) = sK28
& sK27 = app(cons(sK29,nil),X5)
& ssList(X5) )
=> ( app(sK30,cons(sK29,nil)) = sK28
& sK27 = app(cons(sK29,nil),sK30)
& ssList(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) ) )
& ( ! [X6] :
( ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( tl(X0) != X7
| ! [X9] :
( ~ ssItem(X9)
| hd(X0) != X9
| ~ neq(nil,X0)
| cons(X9,nil) != X8 )
| ~ ssList(X8)
| ~ neq(nil,X0)
| app(X7,X8) != X6 ) )
| ~ ssList(X6)
| X1 != X6 )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) ) )
& ( ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( tl(X0) != X5
| ! [X7] :
( ~ ssItem(X7)
| hd(X0) != X7
| ~ neq(nil,X0)
| cons(X7,nil) != X6 )
| ~ ssList(X6)
| ~ neq(nil,X0)
| app(X5,X6) != X4 ) )
| ~ ssList(X4)
| X1 != X4 )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& X1 = X3
& ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ( ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( tl(X0) != X5
| ! [X7] :
( ~ ssItem(X7)
| hd(X0) != X7
| ~ neq(nil,X0)
| cons(X7,nil) != X6 )
| ~ ssList(X6)
| ~ neq(nil,X0)
| app(X5,X6) != X4 ) )
| ~ ssList(X4)
| X1 != X4 )
| ~ neq(X0,nil) )
& ? [X8] :
( ? [X9] :
( app(cons(X8,nil),X9) = X2
& app(X9,cons(X8,nil)) = X3
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(X5,X6) = X4
& ? [X7] :
( hd(X0) = X7
& cons(X7,nil) = X6
& neq(nil,X0)
& ssItem(X7) )
& neq(nil,X0)
& ssList(X6)
& tl(X0) = X5 )
& ssList(X5) )
& X1 = X4
& ssList(X4) )
& neq(X0,nil) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(cons(X8,nil),X9) != X2
| app(X9,cons(X8,nil)) != X3 ) ) )
| ~ neq(X1,nil) ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( neq(X0,nil)
& ? [X6] :
( X1 = X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( neq(nil,X0)
& ? [X9] :
( ssItem(X9)
& hd(X0) = X9
& neq(nil,X0)
& cons(X9,nil) = X8 )
& ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6 ) )
& ssList(X6) ) )
| ~ neq(X1,nil)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( neq(X0,nil)
& ? [X6] :
( X1 = X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( neq(nil,X0)
& ? [X9] :
( ssItem(X9)
& hd(X0) = X9
& neq(nil,X0)
& cons(X9,nil) = X8 )
& ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6 ) )
& ssList(X6) ) )
| ~ neq(X1,nil)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f420,plain,
ssList(sK28),
inference(cnf_transformation,[],[f284]) ).
fof(f738,plain,
~ spl53_27,
inference(avatar_split_clause,[],[f486,f735]) ).
fof(f735,plain,
( spl53_27
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_27])]) ).
fof(f486,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f733,plain,
spl53_26,
inference(avatar_split_clause,[],[f509,f730]) ).
fof(f730,plain,
( spl53_26
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_26])]) ).
fof(f509,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f727,plain,
( spl53_10
| spl53_25 ),
inference(avatar_split_clause,[],[f552,f722,f647]) ).
fof(f552,plain,
( app(cons(sK29,nil),sK30) = sK25
| neq(sK26,nil) ),
inference(definition_unfolding,[],[f427,f434]) ).
fof(f434,plain,
sK27 = sK25,
inference(cnf_transformation,[],[f284]) ).
fof(f427,plain,
( sK27 = app(cons(sK29,nil),sK30)
| neq(sK26,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f726,plain,
( spl53_23
| ~ spl53_10 ),
inference(avatar_split_clause,[],[f551,f647,f708]) ).
fof(f551,plain,
( ~ neq(sK26,nil)
| app(sK30,cons(sK29,nil)) = sK26 ),
inference(definition_unfolding,[],[f428,f421,f421]) ).
fof(f428,plain,
( app(sK30,cons(sK29,nil)) = sK28
| ~ neq(sK28,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f725,plain,
( ~ spl53_10
| spl53_25 ),
inference(avatar_split_clause,[],[f553,f722,f647]) ).
fof(f553,plain,
( app(cons(sK29,nil),sK30) = sK25
| ~ neq(sK26,nil) ),
inference(definition_unfolding,[],[f426,f434,f421]) ).
fof(f426,plain,
( sK27 = app(cons(sK29,nil),sK30)
| ~ neq(sK28,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f720,plain,
( spl53_13
| spl53_10 ),
inference(avatar_split_clause,[],[f425,f647,f662]) ).
fof(f425,plain,
( neq(sK26,nil)
| ssList(sK30) ),
inference(cnf_transformation,[],[f284]) ).
fof(f718,plain,
spl53_9,
inference(avatar_split_clause,[],[f418,f642]) ).
fof(f418,plain,
ssList(sK25),
inference(cnf_transformation,[],[f284]) ).
fof(f717,plain,
( ~ spl53_19
| ~ spl53_21
| ~ spl53_16
| ~ spl53_20
| ~ spl53_18
| ~ spl53_22
| spl53_10
| ~ spl53_17 ),
inference(avatar_split_clause,[],[f596,f683,f647,f703,f687,f695,f679,f699,f691]) ).
fof(f596,plain,
( ~ neq(nil,sK25)
| neq(sK26,nil)
| ~ ssList(tl(sK25))
| ~ ssList(app(tl(sK25),cons(hd(sK25),nil)))
| app(tl(sK25),cons(hd(sK25),nil)) != sK26
| ~ neq(sK25,nil)
| ~ ssItem(hd(sK25))
| ~ ssList(cons(hd(sK25),nil)) ),
inference(duplicate_literal_removal,[],[f569]) ).
fof(f569,plain,
( ~ neq(nil,sK25)
| ~ ssItem(hd(sK25))
| ~ neq(sK25,nil)
| ~ ssList(tl(sK25))
| ~ ssList(cons(hd(sK25),nil))
| ~ neq(nil,sK25)
| ~ ssList(app(tl(sK25),cons(hd(sK25),nil)))
| neq(sK26,nil)
| app(tl(sK25),cons(hd(sK25),nil)) != sK26 ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X6] :
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| ~ neq(nil,sK25)
| ~ ssList(cons(hd(sK25),nil))
| ~ neq(nil,sK25)
| app(tl(sK25),cons(hd(sK25),nil)) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| neq(sK26,nil) ),
inference(equality_resolution,[],[f567]) ).
fof(f567,plain,
! [X8,X6] :
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| ~ neq(nil,sK25)
| cons(hd(sK25),nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(tl(sK25),X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| neq(sK26,nil) ),
inference(equality_resolution,[],[f566]) ).
fof(f566,plain,
! [X8,X6,X9] :
( ~ ssList(tl(sK25))
| ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(tl(sK25),X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| neq(sK26,nil) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X8,X6,X9,X7] :
( ~ ssList(X7)
| tl(sK25) != X7
| ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| neq(sK26,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f716,plain,
spl53_24,
inference(avatar_split_clause,[],[f435,f713]) ).
fof(f435,plain,
ssList(sK26),
inference(cnf_transformation,[],[f284]) ).
fof(f711,plain,
( spl53_23
| spl53_10 ),
inference(avatar_split_clause,[],[f550,f647,f708]) ).
fof(f550,plain,
( neq(sK26,nil)
| app(sK30,cons(sK29,nil)) = sK26 ),
inference(definition_unfolding,[],[f429,f421]) ).
fof(f429,plain,
( app(sK30,cons(sK29,nil)) = sK28
| neq(sK26,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f706,plain,
( ~ spl53_16
| ~ spl53_17
| ~ spl53_18
| ~ spl53_19
| ~ spl53_10
| ~ spl53_20
| ~ spl53_21
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f597,f703,f699,f695,f647,f691,f687,f683,f679]) ).
fof(f597,plain,
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| app(tl(sK25),cons(hd(sK25),nil)) != sK26
| ~ neq(sK26,nil)
| ~ ssList(cons(hd(sK25),nil))
| ~ ssList(app(tl(sK25),cons(hd(sK25),nil)))
| ~ neq(nil,sK25)
| ~ neq(sK25,nil) ),
inference(duplicate_literal_removal,[],[f573]) ).
fof(f573,plain,
( ~ neq(nil,sK25)
| ~ ssItem(hd(sK25))
| ~ ssList(cons(hd(sK25),nil))
| app(tl(sK25),cons(hd(sK25),nil)) != sK26
| ~ neq(sK25,nil)
| ~ neq(nil,sK25)
| ~ ssList(tl(sK25))
| ~ neq(sK26,nil)
| ~ ssList(app(tl(sK25),cons(hd(sK25),nil))) ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X6] :
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| ~ neq(nil,sK25)
| ~ ssList(cons(hd(sK25),nil))
| ~ neq(nil,sK25)
| app(tl(sK25),cons(hd(sK25),nil)) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| ~ neq(sK26,nil) ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X8,X6] :
( ~ ssList(tl(sK25))
| ~ ssItem(hd(sK25))
| ~ neq(nil,sK25)
| cons(hd(sK25),nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(tl(sK25),X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| ~ neq(sK26,nil) ),
inference(equality_resolution,[],[f570]) ).
fof(f570,plain,
! [X8,X6,X9] :
( ~ ssList(tl(sK25))
| ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(tl(sK25),X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| ~ neq(sK26,nil) ),
inference(equality_resolution,[],[f555]) ).
fof(f555,plain,
! [X8,X6,X9,X7] :
( ~ ssList(X7)
| tl(sK25) != X7
| ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| ~ neq(sK26,nil) ),
inference(definition_unfolding,[],[f422,f421]) ).
fof(f422,plain,
! [X8,X6,X9,X7] :
( ~ ssList(X7)
| tl(sK25) != X7
| ~ ssItem(X9)
| hd(sK25) != X9
| ~ neq(nil,sK25)
| cons(X9,nil) != X8
| ~ ssList(X8)
| ~ neq(nil,sK25)
| app(X7,X8) != X6
| ~ ssList(X6)
| sK26 != X6
| ~ neq(sK25,nil)
| ~ neq(sK28,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f677,plain,
spl53_15,
inference(avatar_split_clause,[],[f368,f674]) ).
fof(f674,plain,
( spl53_15
<=> ssItem(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_15])]) ).
fof(f368,plain,
ssItem(sK11),
inference(cnf_transformation,[],[f244]) ).
fof(f672,plain,
spl53_14,
inference(avatar_split_clause,[],[f475,f669]) ).
fof(f669,plain,
( spl53_14
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f475,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f667,plain,
( ~ spl53_10
| spl53_11 ),
inference(avatar_split_clause,[],[f549,f651,f647]) ).
fof(f549,plain,
( ssItem(sK29)
| ~ neq(sK26,nil) ),
inference(definition_unfolding,[],[f430,f421]) ).
fof(f430,plain,
( ssItem(sK29)
| ~ neq(sK28,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f666,plain,
spl53_1,
inference(avatar_split_clause,[],[f533,f604]) ).
fof(f533,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f665,plain,
( ~ spl53_10
| spl53_13 ),
inference(avatar_split_clause,[],[f554,f662,f647]) ).
fof(f554,plain,
( ssList(sK30)
| ~ neq(sK26,nil) ),
inference(definition_unfolding,[],[f424,f421]) ).
fof(f424,plain,
( ssList(sK30)
| ~ neq(sK28,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f660,plain,
spl53_12,
inference(avatar_split_clause,[],[f512,f657]) ).
fof(f657,plain,
( spl53_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f512,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f655,plain,
spl53_10,
inference(avatar_split_clause,[],[f601,f647]) ).
fof(f601,plain,
neq(sK26,nil),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f433,plain,
( neq(sK26,nil)
| neq(sK26,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f654,plain,
( spl53_10
| spl53_11 ),
inference(avatar_split_clause,[],[f431,f651,f647]) ).
fof(f431,plain,
( ssItem(sK29)
| neq(sK26,nil) ),
inference(cnf_transformation,[],[f284]) ).
fof(f645,plain,
spl53_9,
inference(avatar_split_clause,[],[f557,f642]) ).
fof(f557,plain,
ssList(sK25),
inference(definition_unfolding,[],[f419,f434]) ).
fof(f419,plain,
ssList(sK27),
inference(cnf_transformation,[],[f284]) ).
fof(f640,plain,
~ spl53_8,
inference(avatar_split_clause,[],[f369,f637]) ).
fof(f637,plain,
( spl53_8
<=> sK10 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f369,plain,
sK10 != sK11,
inference(cnf_transformation,[],[f244]) ).
fof(f635,plain,
( spl53_7
| ~ spl53_1 ),
inference(avatar_split_clause,[],[f590,f604,f633]) ).
fof(f590,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f631,plain,
( ~ spl53_1
| spl53_6 ),
inference(avatar_split_clause,[],[f574,f628,f604]) ).
fof(f628,plain,
( spl53_6
<=> frontsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f574,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( nil = X0
| ~ frontsegP(nil,X0) )
& ( frontsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( nil = X0
<=> frontsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> frontsegP(nil,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f626,plain,
spl53_5,
inference(avatar_split_clause,[],[f471,f623]) ).
fof(f623,plain,
( spl53_5
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f471,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f621,plain,
spl53_4,
inference(avatar_split_clause,[],[f387,f618]) ).
fof(f618,plain,
( spl53_4
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f387,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f616,plain,
spl53_3,
inference(avatar_split_clause,[],[f447,f613]) ).
fof(f613,plain,
( spl53_3
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f447,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f611,plain,
( ~ spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f584,f608,f604]) ).
fof(f608,plain,
( spl53_2
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f584,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f510]) ).
fof(f510,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(nil,X0)
| nil != X0 ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ~ ssList(X0)
| ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ~ ssList(X0)
| ( nil = X0
<=> rearsegP(nil,X0) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> rearsegP(nil,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC316+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:31:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (13597)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (13592)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (13613)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (13605)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (13609)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (13601)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (13586)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (13589)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13587)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (13590)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13588)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (13595)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13594)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (13594)Instruction limit reached!
% 0.19/0.53 % (13594)------------------------------
% 0.19/0.53 % (13594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13594)Termination reason: Unknown
% 0.19/0.53 % (13594)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (13594)Memory used [KB]: 895
% 0.19/0.53 % (13594)Time elapsed: 0.002 s
% 0.19/0.53 % (13594)Instructions burned: 2 (million)
% 0.19/0.53 % (13594)------------------------------
% 0.19/0.53 % (13594)------------------------------
% 0.19/0.53 % (13593)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (13607)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (13596)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (13614)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (13593)Instruction limit reached!
% 0.19/0.53 % (13593)------------------------------
% 0.19/0.53 % (13593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13593)Termination reason: Unknown
% 0.19/0.53 % (13593)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (13593)Memory used [KB]: 1279
% 0.19/0.53 % (13593)Time elapsed: 0.005 s
% 0.19/0.53 % (13593)Instructions burned: 7 (million)
% 0.19/0.53 % (13593)------------------------------
% 0.19/0.53 % (13593)------------------------------
% 0.19/0.53 % (13606)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (13610)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (13608)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (13599)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (13611)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (13612)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (13603)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (13602)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (13600)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (13598)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (13615)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (13604)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (13591)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 1.59/0.57 % (13587)Refutation not found, incomplete strategy% (13587)------------------------------
% 1.59/0.57 % (13587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (13587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (13587)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.57
% 1.59/0.57 % (13587)Memory used [KB]: 6012
% 1.59/0.57 % (13587)Time elapsed: 0.146 s
% 1.59/0.57 % (13587)Instructions burned: 20 (million)
% 1.59/0.57 % (13587)------------------------------
% 1.59/0.57 % (13587)------------------------------
% 1.59/0.58 TRYING [1]
% 1.59/0.58 TRYING [2]
% 1.59/0.58 TRYING [1]
% 1.59/0.58 % (13592)Instruction limit reached!
% 1.59/0.58 % (13592)------------------------------
% 1.59/0.58 % (13592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (13592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (13592)Termination reason: Unknown
% 1.59/0.58 % (13592)Termination phase: Finite model building SAT solving
% 1.59/0.58
% 1.59/0.58 % (13592)Memory used [KB]: 7164
% 1.59/0.58 % (13592)Time elapsed: 0.157 s
% 1.59/0.58 % (13592)Instructions burned: 51 (million)
% 1.59/0.58 % (13592)------------------------------
% 1.59/0.58 % (13592)------------------------------
% 1.86/0.59 % (13588)Instruction limit reached!
% 1.86/0.59 % (13588)------------------------------
% 1.86/0.59 % (13588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (13588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (13588)Termination reason: Unknown
% 1.86/0.59 % (13588)Termination phase: Saturation
% 1.86/0.59
% 1.86/0.59 % (13588)Memory used [KB]: 1663
% 1.86/0.59 % (13588)Time elapsed: 0.188 s
% 1.86/0.59 % (13588)Instructions burned: 37 (million)
% 1.86/0.59 % (13588)------------------------------
% 1.86/0.59 % (13588)------------------------------
% 1.86/0.61 % (13589)Instruction limit reached!
% 1.86/0.61 % (13589)------------------------------
% 1.86/0.61 % (13589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (13589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (13589)Termination reason: Unknown
% 1.86/0.61 % (13589)Termination phase: Saturation
% 1.86/0.61
% 1.86/0.61 % (13589)Memory used [KB]: 6652
% 1.86/0.61 % (13589)Time elapsed: 0.211 s
% 1.86/0.61 % (13589)Instructions burned: 51 (million)
% 1.86/0.61 % (13589)------------------------------
% 1.86/0.61 % (13589)------------------------------
% 1.86/0.61 TRYING [3]
% 1.86/0.61 TRYING [2]
% 1.86/0.61 % (13595)Instruction limit reached!
% 1.86/0.61 % (13595)------------------------------
% 1.86/0.61 % (13595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (13595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (13595)Termination reason: Unknown
% 1.86/0.61 % (13595)Termination phase: Saturation
% 1.86/0.61
% 1.86/0.61 % (13595)Memory used [KB]: 2174
% 1.86/0.61 % (13595)Time elapsed: 0.215 s
% 1.86/0.61 % (13595)Instructions burned: 51 (million)
% 1.86/0.61 % (13595)------------------------------
% 1.86/0.61 % (13595)------------------------------
% 1.86/0.61 % (13596)Instruction limit reached!
% 1.86/0.61 % (13596)------------------------------
% 1.86/0.61 % (13596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (13596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (13596)Termination reason: Unknown
% 1.86/0.61 % (13596)Termination phase: Saturation
% 1.86/0.61
% 1.86/0.61 % (13596)Memory used [KB]: 6652
% 1.86/0.61 % (13596)Time elapsed: 0.192 s
% 1.86/0.61 % (13596)Instructions burned: 51 (million)
% 1.86/0.61 % (13596)------------------------------
% 1.86/0.61 % (13596)------------------------------
% 1.86/0.63 % (13590)Instruction limit reached!
% 1.86/0.63 % (13590)------------------------------
% 1.86/0.63 % (13590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63 % (13590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (13590)Termination reason: Unknown
% 1.86/0.63 % (13590)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (13590)Memory used [KB]: 6652
% 1.86/0.63 % (13590)Time elapsed: 0.213 s
% 1.86/0.63 % (13590)Instructions burned: 52 (million)
% 1.86/0.63 % (13590)------------------------------
% 1.86/0.63 % (13590)------------------------------
% 1.86/0.64 % (13591)Instruction limit reached!
% 1.86/0.64 % (13591)------------------------------
% 1.86/0.64 % (13591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (13591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (13591)Termination reason: Unknown
% 1.86/0.64 % (13591)Termination phase: Saturation
% 1.86/0.64
% 1.86/0.64 % (13591)Memory used [KB]: 6396
% 1.86/0.64 % (13591)Time elapsed: 0.204 s
% 1.86/0.64 % (13591)Instructions burned: 49 (million)
% 1.86/0.64 % (13591)------------------------------
% 1.86/0.64 % (13591)------------------------------
% 1.86/0.64 % (13603)Instruction limit reached!
% 1.86/0.64 % (13603)------------------------------
% 1.86/0.64 % (13603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (13603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (13603)Termination reason: Unknown
% 1.86/0.64 % (13603)Termination phase: Finite model building SAT solving
% 1.86/0.64
% 1.86/0.64 % (13603)Memory used [KB]: 7419
% 1.86/0.64 % (13603)Time elapsed: 0.195 s
% 1.86/0.64 % (13603)Instructions burned: 60 (million)
% 1.86/0.64 % (13603)------------------------------
% 1.86/0.64 % (13603)------------------------------
% 2.30/0.64 % (13601)Instruction limit reached!
% 2.30/0.64 % (13601)------------------------------
% 2.30/0.64 % (13601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.64 % (13601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.64 % (13601)Termination reason: Unknown
% 2.30/0.64 % (13601)Termination phase: Saturation
% 2.30/0.64
% 2.30/0.64 % (13601)Memory used [KB]: 2430
% 2.30/0.64 % (13601)Time elapsed: 0.232 s
% 2.30/0.64 % (13601)Instructions burned: 75 (million)
% 2.30/0.64 % (13601)------------------------------
% 2.30/0.64 % (13601)------------------------------
% 2.30/0.65 % (13600)Instruction limit reached!
% 2.30/0.65 % (13600)------------------------------
% 2.30/0.65 % (13600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65 % (13600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65 % (13600)Termination reason: Unknown
% 2.30/0.65 % (13600)Termination phase: Saturation
% 2.30/0.65
% 2.30/0.65 % (13600)Memory used [KB]: 7164
% 2.30/0.65 % (13600)Time elapsed: 0.039 s
% 2.30/0.65 % (13600)Instructions burned: 68 (million)
% 2.30/0.65 % (13600)------------------------------
% 2.30/0.65 % (13600)------------------------------
% 2.39/0.67 % (13612)Instruction limit reached!
% 2.39/0.67 % (13612)------------------------------
% 2.39/0.67 % (13612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67 % (13612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (13612)Termination reason: Unknown
% 2.39/0.67 % (13612)Termination phase: Saturation
% 2.39/0.67
% 2.39/0.67 % (13612)Memory used [KB]: 7036
% 2.39/0.67 % (13612)Time elapsed: 0.039 s
% 2.39/0.67 % (13612)Instructions burned: 69 (million)
% 2.39/0.67 % (13612)------------------------------
% 2.39/0.67 % (13612)------------------------------
% 2.39/0.68 % (13616)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.39/0.68 % (13617)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.39/0.68 % (13597)Instruction limit reached!
% 2.39/0.68 % (13597)------------------------------
% 2.39/0.68 % (13597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (13597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (13597)Termination reason: Unknown
% 2.39/0.68 % (13597)Termination phase: Saturation
% 2.39/0.68
% 2.39/0.68 % (13597)Memory used [KB]: 7675
% 2.39/0.68 % (13597)Time elapsed: 0.280 s
% 2.39/0.68 % (13597)Instructions burned: 101 (million)
% 2.39/0.68 % (13597)------------------------------
% 2.39/0.68 % (13597)------------------------------
% 2.39/0.69 % (13605)Instruction limit reached!
% 2.39/0.69 % (13605)------------------------------
% 2.39/0.69 % (13605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (13605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (13605)Termination reason: Unknown
% 2.39/0.69 % (13605)Termination phase: Saturation
% 2.39/0.69
% 2.39/0.69 % (13605)Memory used [KB]: 2814
% 2.39/0.69 % (13605)Time elapsed: 0.296 s
% 2.39/0.69 % (13605)Instructions burned: 102 (million)
% 2.39/0.69 % (13605)------------------------------
% 2.39/0.69 % (13605)------------------------------
% 2.39/0.71 % (13599)Instruction limit reached!
% 2.39/0.71 % (13599)------------------------------
% 2.39/0.71 % (13599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (13599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (13599)Termination reason: Unknown
% 2.39/0.71 % (13599)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (13599)Memory used [KB]: 7419
% 2.39/0.71 % (13599)Time elapsed: 0.273 s
% 2.39/0.71 % (13599)Instructions burned: 99 (million)
% 2.39/0.71 % (13599)------------------------------
% 2.39/0.71 % (13599)------------------------------
% 2.68/0.72 % (13598)Instruction limit reached!
% 2.68/0.72 % (13598)------------------------------
% 2.68/0.72 % (13598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.72 % (13598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.72 % (13598)Termination reason: Unknown
% 2.68/0.72 % (13598)Termination phase: Saturation
% 2.68/0.72
% 2.68/0.72 % (13598)Memory used [KB]: 7419
% 2.68/0.72 % (13598)Time elapsed: 0.323 s
% 2.68/0.72 % (13598)Instructions burned: 101 (million)
% 2.68/0.72 % (13598)------------------------------
% 2.68/0.72 % (13598)------------------------------
% 2.68/0.72 % (13604)Instruction limit reached!
% 2.68/0.72 % (13604)------------------------------
% 2.68/0.72 % (13604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.72 % (13604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.72 % (13604)Termination reason: Unknown
% 2.68/0.72 % (13604)Termination phase: Saturation
% 2.68/0.72
% 2.68/0.72 % (13604)Memory used [KB]: 7291
% 2.68/0.72 % (13604)Time elapsed: 0.322 s
% 2.68/0.72 % (13604)Instructions burned: 101 (million)
% 2.68/0.72 % (13604)------------------------------
% 2.68/0.72 % (13604)------------------------------
% 2.68/0.72 % (13620)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.68/0.72 % (13619)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.68/0.72 % (13618)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.68/0.72 % (13602)Instruction limit reached!
% 2.68/0.72 % (13602)------------------------------
% 2.68/0.72 % (13602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.72 % (13602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.72 % (13602)Termination reason: Unknown
% 2.68/0.72 % (13602)Termination phase: Saturation
% 2.68/0.72
% 2.68/0.72 % (13602)Memory used [KB]: 6908
% 2.68/0.72 % (13602)Time elapsed: 0.304 s
% 2.68/0.72 % (13602)Instructions burned: 100 (million)
% 2.68/0.72 % (13602)------------------------------
% 2.68/0.72 % (13602)------------------------------
% 2.68/0.74 % (13623)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.68/0.74 TRYING [4]
% 2.68/0.75 % (13622)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.86/0.75 % (13621)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.86/0.76 % (13626)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.86/0.77 % (13627)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.86/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.86/0.77 % (13625)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.86/0.78 % (13607)Instruction limit reached!
% 2.86/0.78 % (13607)------------------------------
% 2.86/0.78 % (13607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.78 % (13607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.78 % (13607)Termination reason: Unknown
% 2.86/0.78 % (13607)Termination phase: Saturation
% 2.86/0.78
% 2.86/0.78 % (13607)Memory used [KB]: 7675
% 2.86/0.78 % (13607)Time elapsed: 0.320 s
% 2.86/0.78 % (13607)Instructions burned: 138 (million)
% 2.86/0.78 % (13607)------------------------------
% 2.86/0.78 % (13607)------------------------------
% 2.86/0.78 % (13624)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.86/0.80 % (13628)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.86/0.81 % (13630)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.86/0.81 % (13629)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.86/0.82 % (13606)Instruction limit reached!
% 2.86/0.82 % (13606)------------------------------
% 2.86/0.82 % (13606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.82 % (13613)Instruction limit reached!
% 2.86/0.82 % (13613)------------------------------
% 2.86/0.82 % (13613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.82 % (13606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.82 % (13613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.82 % (13606)Termination reason: Unknown
% 2.86/0.82 % (13613)Termination reason: Unknown
% 2.86/0.82 % (13606)Termination phase: Saturation
% 2.86/0.82 % (13613)Termination phase: Saturation
% 2.86/0.82
% 2.86/0.82
% 2.86/0.82 % (13606)Memory used [KB]: 6908
% 2.86/0.82 % (13606)Time elapsed: 0.401 s
% 2.86/0.82 % (13606)Instructions burned: 176 (million)
% 2.86/0.82 % (13606)------------------------------
% 2.86/0.82 % (13606)------------------------------
% 2.86/0.83 % (13631)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.86/0.83 % (13613)Memory used [KB]: 3709
% 2.86/0.83 % (13613)Time elapsed: 0.419 s
% 2.86/0.83 % (13613)Instructions burned: 177 (million)
% 2.86/0.83 % (13613)------------------------------
% 2.86/0.83 % (13613)------------------------------
% 3.15/0.84 % (13632)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.15/0.85 % (13635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.15/0.86 % (13634)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.15/0.86 % (13633)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.15/0.87 % (13623)Instruction limit reached!
% 3.15/0.87 % (13623)------------------------------
% 3.15/0.87 % (13623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.87 % (13623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.87 % (13623)Termination reason: Unknown
% 3.15/0.87 % (13623)Termination phase: Saturation
% 3.15/0.87
% 3.15/0.87 % (13623)Memory used [KB]: 7036
% 3.15/0.87 % (13623)Time elapsed: 0.038 s
% 3.15/0.87 % (13623)Instructions burned: 69 (million)
% 3.15/0.87 % (13623)------------------------------
% 3.15/0.87 % (13623)------------------------------
% 3.15/0.88 % (13618)Instruction limit reached!
% 3.15/0.88 % (13618)------------------------------
% 3.15/0.88 % (13618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.88 % (13618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.88 % (13618)Termination reason: Unknown
% 3.15/0.88 % (13618)Termination phase: Saturation
% 3.15/0.88
% 3.15/0.88 % (13618)Memory used [KB]: 7036
% 3.15/0.88 % (13618)Time elapsed: 0.277 s
% 3.15/0.88 % (13618)Instructions burned: 91 (million)
% 3.15/0.88 % (13618)------------------------------
% 3.15/0.88 % (13618)------------------------------
% 3.31/0.93 % (13626)Instruction limit reached!
% 3.31/0.93 % (13626)------------------------------
% 3.31/0.93 % (13626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.93 % (13626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.93 % (13626)Termination reason: Unknown
% 3.31/0.93 % (13626)Termination phase: Saturation
% 3.31/0.93
% 3.31/0.93 % (13626)Memory used [KB]: 8059
% 3.31/0.93 % (13626)Time elapsed: 0.268 s
% 3.31/0.93 % (13626)Instructions burned: 91 (million)
% 3.31/0.93 % (13626)------------------------------
% 3.31/0.93 % (13626)------------------------------
% 3.31/0.94 % (13636)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.59/0.95 % (13637)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.59/0.95 % (13638)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.62/0.97 % (13633)Instruction limit reached!
% 3.62/0.97 % (13633)------------------------------
% 3.62/0.97 % (13633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/0.97 % (13633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/0.97 % (13633)Termination reason: Unknown
% 3.62/0.97 % (13633)Termination phase: Saturation
% 3.62/0.97
% 3.62/0.97 % (13633)Memory used [KB]: 7036
% 3.62/0.97 % (13633)Time elapsed: 0.036 s
% 3.62/0.97 % (13633)Instructions burned: 69 (million)
% 3.62/0.97 % (13633)------------------------------
% 3.62/0.97 % (13633)------------------------------
% 3.62/0.99 % (13640)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.83/1.01 % (13639)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.83/1.04 % (13617)Instruction limit reached!
% 3.83/1.04 % (13617)------------------------------
% 3.83/1.04 % (13617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/1.04 % (13617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/1.04 % (13617)Termination reason: Unknown
% 3.83/1.04 % (13617)Termination phase: Saturation
% 3.83/1.04
% 3.83/1.04 % (13617)Memory used [KB]: 4605
% 3.83/1.04 % (13617)Time elapsed: 0.465 s
% 3.83/1.04 % (13617)Instructions burned: 211 (million)
% 3.83/1.04 % (13617)------------------------------
% 3.83/1.04 % (13617)------------------------------
% 3.83/1.08 % (13641)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.59/1.09 % (13638)Instruction limit reached!
% 5.59/1.09 % (13638)------------------------------
% 5.59/1.09 % (13638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.59/1.09 % (13638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.59/1.09 % (13638)Termination reason: Unknown
% 5.59/1.09 % (13638)Termination phase: Saturation
% 5.59/1.09
% 5.59/1.09 % (13638)Memory used [KB]: 7036
% 5.59/1.09 % (13638)Time elapsed: 0.218 s
% 5.59/1.09 % (13638)Instructions burned: 90 (million)
% 5.59/1.09 % (13638)------------------------------
% 5.59/1.09 % (13638)------------------------------
% 5.59/1.11 % (13642)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.59/1.12 TRYING [5]
% 6.49/1.20 % (13615)Instruction limit reached!
% 6.49/1.20 % (13615)------------------------------
% 6.49/1.20 % (13615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.20 % (13644)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.49/1.21 % (13615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.21 % (13615)Termination reason: Unknown
% 6.49/1.21 % (13615)Termination phase: Saturation
% 6.49/1.21
% 6.49/1.21 % (13615)Memory used [KB]: 11897
% 6.49/1.21 % (13615)Time elapsed: 0.763 s
% 6.49/1.21 % (13615)Instructions burned: 355 (million)
% 6.49/1.21 % (13615)------------------------------
% 6.49/1.21 % (13615)------------------------------
% 6.85/1.22 % (13643)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 7.00/1.26 % (13609)Instruction limit reached!
% 7.00/1.26 % (13609)------------------------------
% 7.00/1.26 % (13609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.00/1.26 % (13609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.00/1.26 % (13609)Termination reason: Unknown
% 7.00/1.26 % (13609)Termination phase: Saturation
% 7.00/1.26
% 7.00/1.27 % (13609)Memory used [KB]: 9338
% 7.00/1.27 % (13609)Time elapsed: 0.858 s
% 7.00/1.27 % (13609)Instructions burned: 468 (million)
% 7.00/1.27 % (13609)------------------------------
% 7.00/1.27 % (13609)------------------------------
% 7.54/1.33 % (13610)Instruction limit reached!
% 7.54/1.33 % (13610)------------------------------
% 7.54/1.33 % (13610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.54/1.34 % (13610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.54/1.34 % (13610)Termination reason: Unknown
% 7.54/1.34 % (13610)Termination phase: Saturation
% 7.54/1.34
% 7.54/1.34 % (13610)Memory used [KB]: 12025
% 7.54/1.34 % (13610)Time elapsed: 0.899 s
% 7.54/1.34 % (13610)Instructions burned: 482 (million)
% 7.54/1.34 % (13610)------------------------------
% 7.54/1.34 % (13610)------------------------------
% 7.54/1.36 % (13648)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.54/1.37 % (13616)Instruction limit reached!
% 7.54/1.37 % (13616)------------------------------
% 7.54/1.37 % (13616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.93/1.38 % (13616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.93/1.38 % (13616)Termination reason: Unknown
% 7.93/1.38 % (13616)Termination phase: Saturation
% 7.93/1.38
% 7.93/1.38 % (13616)Memory used [KB]: 9338
% 7.93/1.38 % (13616)Time elapsed: 0.786 s
% 7.93/1.38 % (13616)Instructions burned: 389 (million)
% 7.93/1.38 % (13616)------------------------------
% 7.93/1.38 % (13616)------------------------------
% 7.93/1.40 % (13608)Instruction limit reached!
% 7.93/1.40 % (13608)------------------------------
% 7.93/1.40 % (13608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.93/1.40 % (13614)Instruction limit reached!
% 7.93/1.40 % (13614)------------------------------
% 7.93/1.40 % (13614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.93/1.40 % (13649)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.93/1.41 % (13608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.93/1.41 % (13608)Termination reason: Unknown
% 7.93/1.41 % (13608)Termination phase: Saturation
% 7.93/1.41
% 7.93/1.41 % (13608)Memory used [KB]: 5117
% 7.93/1.41 % (13608)Time elapsed: 0.989 s
% 7.93/1.41 % (13608)Instructions burned: 498 (million)
% 7.93/1.41 % (13608)------------------------------
% 7.93/1.41 % (13608)------------------------------
% 7.93/1.42 % (13614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.93/1.42 % (13614)Termination reason: Unknown
% 7.93/1.42 % (13614)Termination phase: Saturation
% 7.93/1.42
% 7.93/1.42 % (13614)Memory used [KB]: 10490
% 7.93/1.42 % (13614)Time elapsed: 0.986 s
% 7.93/1.42 % (13614)Instructions burned: 439 (million)
% 7.93/1.42 % (13614)------------------------------
% 7.93/1.42 % (13614)------------------------------
% 8.46/1.47 % (13611)Instruction limit reached!
% 8.46/1.47 % (13611)------------------------------
% 8.46/1.47 % (13611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.46/1.47 % (13611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.46/1.47 % (13611)Termination reason: Unknown
% 8.46/1.47 % (13611)Termination phase: Saturation
% 8.46/1.47
% 8.46/1.47 % (13611)Memory used [KB]: 13176
% 8.46/1.47 % (13611)Time elapsed: 1.051 s
% 8.46/1.47 % (13611)Instructions burned: 500 (million)
% 8.46/1.47 % (13611)------------------------------
% 8.46/1.47 % (13611)------------------------------
% 8.59/1.49 % (13650)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/90Mi)
% 8.59/1.52 % (13651)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 8.84/1.54 % (13653)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 8.97/1.55 % (13650)Instruction limit reached!
% 8.97/1.55 % (13650)------------------------------
% 8.97/1.55 % (13650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.97/1.55 % (13650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.97/1.55 % (13650)Termination reason: Unknown
% 8.97/1.55 % (13650)Termination phase: Saturation
% 8.97/1.55
% 8.97/1.55 % (13650)Memory used [KB]: 7547
% 8.97/1.55 % (13650)Time elapsed: 0.141 s
% 8.97/1.55 % (13650)Instructions burned: 90 (million)
% 8.97/1.55 % (13650)------------------------------
% 8.97/1.55 % (13650)------------------------------
% 8.97/1.57 % (13652)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.97/1.61 % (13655)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 9.51/1.63 % (13654)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 12.31/1.93 % (13622)Instruction limit reached!
% 12.31/1.93 % (13622)------------------------------
% 12.31/1.93 % (13622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.31/1.93 % (13622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.31/1.93 % (13622)Termination reason: Unknown
% 12.31/1.93 % (13622)Termination phase: Saturation
% 12.31/1.93
% 12.31/1.93 % (13622)Memory used [KB]: 6652
% 12.31/1.93 % (13622)Time elapsed: 1.282 s
% 12.31/1.93 % (13622)Instructions burned: 655 (million)
% 12.31/1.93 % (13622)------------------------------
% 12.31/1.93 % (13622)------------------------------
% 12.89/2.06 TRYING [6]
% 13.61/2.09 % (13656)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/10187Mi)
% 14.56/2.21 % (13621)Instruction limit reached!
% 14.56/2.21 % (13621)------------------------------
% 14.56/2.21 % (13621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.56/2.21 % (13621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.56/2.21 % (13621)Termination reason: Unknown
% 14.56/2.21 % (13621)Termination phase: Saturation
% 14.56/2.21
% 14.56/2.21 % (13621)Memory used [KB]: 17014
% 14.56/2.21 % (13621)Time elapsed: 1.574 s
% 14.56/2.21 % (13621)Instructions burned: 748 (million)
% 14.56/2.21 % (13621)------------------------------
% 14.56/2.21 % (13621)------------------------------
% 15.51/2.38 % (13619)Instruction limit reached!
% 15.51/2.38 % (13619)------------------------------
% 15.51/2.38 % (13619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.51/2.38 % (13619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.51/2.38 % (13619)Termination reason: Unknown
% 15.51/2.38 % (13619)Termination phase: Saturation
% 15.51/2.38
% 15.51/2.38 % (13619)Memory used [KB]: 19701
% 15.51/2.38 % (13619)Time elapsed: 1.697 s
% 15.51/2.38 % (13619)Instructions burned: 921 (million)
% 15.51/2.38 % (13619)------------------------------
% 15.51/2.38 % (13619)------------------------------
% 15.51/2.38 % (13657)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/29337Mi)
% 15.51/2.39 % (13620)Instruction limit reached!
% 15.51/2.39 % (13620)------------------------------
% 15.51/2.39 % (13620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.51/2.39 % (13620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.51/2.39 % (13620)Termination reason: Unknown
% 15.51/2.39 % (13620)Termination phase: Saturation
% 15.51/2.39
% 15.51/2.39 % (13620)Memory used [KB]: 21236
% 15.51/2.39 % (13620)Time elapsed: 1.763 s
% 15.51/2.39 % (13620)Instructions burned: 934 (million)
% 15.51/2.39 % (13620)------------------------------
% 15.51/2.39 % (13620)------------------------------
% 15.51/2.39 % (13625)Instruction limit reached!
% 15.51/2.39 % (13625)------------------------------
% 15.51/2.39 % (13625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.51/2.39 % (13625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.51/2.39 % (13625)Termination reason: Unknown
% 15.51/2.39 % (13625)Termination phase: Saturation
% 15.51/2.39
% 15.51/2.39 % (13625)Memory used [KB]: 14583
% 15.51/2.39 % (13625)Time elapsed: 1.719 s
% 15.51/2.39 % (13625)Instructions burned: 981 (million)
% 15.51/2.39 % (13625)------------------------------
% 15.51/2.39 % (13625)------------------------------
% 16.35/2.42 % (13624)Instruction limit reached!
% 16.35/2.42 % (13624)------------------------------
% 16.35/2.42 % (13624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.35/2.42 % (13624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.35/2.42 % (13624)Termination reason: Unknown
% 16.35/2.42 % (13624)Termination phase: Saturation
% 16.35/2.42
% 16.35/2.42 % (13624)Memory used [KB]: 14328
% 16.35/2.42 % (13624)Time elapsed: 1.765 s
% 16.35/2.42 % (13624)Instructions burned: 940 (million)
% 16.35/2.42 % (13624)------------------------------
% 16.35/2.42 % (13624)------------------------------
% 16.50/2.46 % (13641)First to succeed.
% 17.02/2.51 % (13658)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10147Mi)
% 17.02/2.53 % (13659)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/38056Mi)
% 17.02/2.54 % (13641)Refutation found. Thanks to Tanya!
% 17.02/2.54 % SZS status Theorem for theBenchmark
% 17.02/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 17.02/2.56 % (13641)------------------------------
% 17.02/2.56 % (13641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.02/2.56 % (13641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.02/2.56 % (13641)Termination reason: Refutation
% 17.02/2.56
% 17.02/2.56 % (13641)Memory used [KB]: 4349
% 17.02/2.56 % (13641)Time elapsed: 1.505 s
% 17.02/2.56 % (13641)Instructions burned: 1017 (million)
% 17.02/2.56 % (13641)------------------------------
% 17.02/2.56 % (13641)------------------------------
% 17.02/2.56 % (13585)Success in time 2.209 s
%------------------------------------------------------------------------------