TSTP Solution File: SWC412-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC412-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Tue May 21 05:15:24 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 545
% Syntax : Number of formulae : 1225 ( 235 unt; 0 def)
% Number of atoms : 3694 ( 476 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4451 (1982 ~;2135 |; 0 &)
% ( 334 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 355 ( 353 usr; 335 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 16 con; 0-2 aty)
% Number of variables : 945 ( 945 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4697,plain,
$false,
inference(avatar_sat_refutation,[],[f300,f305,f314,f319,f324,f329,f334,f339,f344,f349,f354,f359,f364,f369,f374,f379,f384,f389,f394,f398,f402,f406,f410,f414,f418,f422,f426,f430,f434,f438,f442,f446,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f538,f543,f552,f556,f560,f564,f568,f572,f576,f580,f585,f591,f595,f599,f603,f607,f611,f612,f613,f614,f615,f623,f628,f633,f639,f643,f647,f648,f649,f650,f653,f654,f655,f659,f663,f667,f668,f672,f673,f676,f677,f681,f685,f689,f693,f697,f701,f705,f712,f750,f754,f758,f828,f834,f838,f843,f845,f850,f855,f856,f895,f899,f903,f908,f912,f916,f944,f948,f952,f956,f960,f964,f968,f972,f976,f980,f984,f988,f992,f996,f1000,f1004,f1008,f1012,f1016,f1020,f1024,f1028,f1032,f1036,f1040,f1106,f1111,f1115,f1119,f1123,f1211,f1215,f1219,f1224,f1228,f1232,f1236,f1240,f1244,f1248,f1252,f1256,f1288,f1324,f1329,f1333,f1337,f1341,f1345,f1349,f1353,f1357,f1412,f1436,f1440,f1444,f1448,f1452,f1457,f1461,f1465,f1469,f1473,f1477,f1488,f1516,f1520,f1524,f1528,f1569,f1592,f1596,f1600,f1604,f1608,f1612,f1616,f1621,f1733,f1737,f1741,f1746,f1750,f1754,f1758,f1762,f1820,f1824,f1846,f1850,f1854,f1858,f1862,f2064,f2070,f2076,f2100,f2104,f2112,f2116,f2120,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2441,f2666,f2714,f2721,f2726,f2739,f2788,f2795,f2813,f2819,f2824,f2869,f2875,f2880,f2924,f2930,f2975,f2979,f2984,f2989,f2994,f2999,f3004,f3008,f3012,f3016,f3020,f3025,f3229,f3233,f3303,f3307,f3312,f3357,f3361,f3365,f3369,f3373,f3377,f3381,f3385,f3389,f3394,f3399,f3403,f3407,f3411,f3415,f3419,f3423,f3427,f3431,f3435,f3440,f3445,f3449,f3453,f3457,f3461,f3520,f3529,f3534,f3544,f3552,f3561,f3570,f3571,f3583,f3613,f3618,f3624,f3628,f3634,f3638,f3642,f3646,f3650,f3654,f3667,f3680,f3686,f3691,f3702,f3713,f3714,f3728,f3733,f3738,f3744,f3749,f3756,f3801,f3809,f3854,f3923,f4222,f4228,f4232,f4236,f4240,f4244,f4248,f4249,f4317,f4319,f4338,f4339,f4369,f4401,f4404,f4451,f4476,f4490,f4491,f4531,f4532,f4590,f4594,f4595,f4626,f4653,f4654,f4696]) ).
fof(f4696,plain,
( spl0_75
| spl0_66 ),
inference(avatar_split_clause,[],[f263,f578,f625]) ).
fof(f625,plain,
( spl0_75
<=> sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f578,plain,
( spl0_66
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f263,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f200,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f200,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f4654,plain,
( spl0_59
| spl0_66 ),
inference(avatar_split_clause,[],[f199,f578,f549]) ).
fof(f549,plain,
( spl0_59
<=> ssList(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f199,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssList(sk13)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f4653,plain,
( ~ spl0_74
| spl0_66 ),
inference(avatar_split_clause,[],[f262,f578,f620]) ).
fof(f620,plain,
( spl0_74
<=> sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f262,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(definition_unfolding,[],[f201,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f4626,plain,
( spl0_95
| spl0_66 ),
inference(avatar_split_clause,[],[f192,f578,f826]) ).
fof(f826,plain,
( spl0_95
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
| sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| ~ ssItem(X6)
| ~ ssItem(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f192,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssList(X8)
| ~ ssList(X11)
| ~ ssItem(X10)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ ssItem(X9)
| sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk3 = app(app(cons(X10,nil),X11),cons(X9,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f4595,plain,
( spl0_75
| spl0_3 ),
inference(avatar_split_clause,[],[f255,f307,f625]) ).
fof(f307,plain,
( spl0_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f255,plain,
( ssItem(sk5)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f213,f190]) ).
fof(f213,axiom,
( ssItem(sk5)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_28) ).
fof(f4594,plain,
( spl0_3
| spl0_224
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f4591,f4528,f2723,f307]) ).
fof(f2723,plain,
( spl0_224
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f4528,plain,
( spl0_334
<=> sk3 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f4591,plain,
( sk3 = sk4
| ssItem(sk5)
| ~ spl0_334 ),
inference(forward_demodulation,[],[f255,f4529]) ).
fof(f4529,plain,
( sk3 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f4528]) ).
fof(f4590,plain,
( ~ spl0_74
| spl0_3 ),
inference(avatar_split_clause,[],[f254,f307,f620]) ).
fof(f254,plain,
( ssItem(sk5)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(definition_unfolding,[],[f214,f191]) ).
fof(f214,axiom,
( ssItem(sk5)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_29) ).
fof(f4532,plain,
( spl0_3
| spl0_334
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f4493,f2723,f4528,f307]) ).
fof(f4493,plain,
( sk3 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ssItem(sk5)
| ~ spl0_224 ),
inference(forward_demodulation,[],[f255,f2725]) ).
fof(f2725,plain,
( sk3 = sk4
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f4531,plain,
( ~ spl0_334
| spl0_75
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f4492,f2723,f625,f4528]) ).
fof(f4492,plain,
( sk3 != app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| spl0_75
| ~ spl0_224 ),
inference(forward_demodulation,[],[f626,f2725]) ).
fof(f626,plain,
( sk4 != app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| spl0_75 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f4491,plain,
( spl0_3
| spl0_333
| ~ spl0_59
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f4482,f3010,f2723,f2711,f549,f4487,f307]) ).
fof(f4487,plain,
( spl0_333
<=> sk3 = app(cons(sk11,sk13),cons(sk12,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f2711,plain,
( spl0_222
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f3010,plain,
( spl0_247
<=> ! [X0] :
( cons(sk11,X0) = app(cons(sk11,sk3),X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f4482,plain,
( sk3 = app(cons(sk11,sk13),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_59
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4481,f2725]) ).
fof(f4481,plain,
( sk4 = app(cons(sk11,sk13),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_59
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4417,f3140]) ).
fof(f3140,plain,
( cons(sk11,sk13) = app(cons(sk11,sk3),sk13)
| ~ spl0_59
| ~ spl0_247 ),
inference(resolution,[],[f3011,f551]) ).
fof(f551,plain,
( ssList(sk13)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f3011,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk11,X0) = app(cons(sk11,sk3),X0) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f3010]) ).
fof(f4417,plain,
( sk4 = app(app(cons(sk11,sk3),sk13),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_222
| ~ spl0_224 ),
inference(forward_demodulation,[],[f255,f4368]) ).
fof(f4368,plain,
( nil = sk3
| ~ spl0_222
| ~ spl0_224 ),
inference(forward_demodulation,[],[f2713,f2725]) ).
fof(f2713,plain,
( nil = sk4
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2711]) ).
fof(f4490,plain,
( ~ spl0_333
| ~ spl0_59
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f4480,f3010,f2723,f2711,f625,f549,f4487]) ).
fof(f4480,plain,
( sk3 != app(cons(sk11,sk13),cons(sk12,sk3))
| ~ spl0_59
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4479,f2725]) ).
fof(f4479,plain,
( sk4 != app(cons(sk11,sk13),cons(sk12,sk3))
| ~ spl0_59
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4421,f3140]) ).
fof(f4421,plain,
( sk4 != app(app(cons(sk11,sk3),sk13),cons(sk12,sk3))
| spl0_75
| ~ spl0_222
| ~ spl0_224 ),
inference(forward_demodulation,[],[f626,f4368]) ).
fof(f4476,plain,
( ~ spl0_331
| ~ spl0_2
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_228
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f4424,f3010,f2785,f2723,f2711,f625,f302,f4335]) ).
fof(f4335,plain,
( spl0_331
<=> sk3 = app(cons(sk11,sk3),cons(sk12,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f302,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2785,plain,
( spl0_228
<=> nil = sk13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f4424,plain,
( sk3 != app(cons(sk11,sk3),cons(sk12,sk3))
| ~ spl0_2
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_228
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4423,f2725]) ).
fof(f4423,plain,
( sk4 != app(cons(sk11,sk3),cons(sk12,sk3))
| ~ spl0_2
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_228
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4422,f3137]) ).
fof(f3137,plain,
( cons(sk11,sk3) = app(cons(sk11,sk3),sk3)
| ~ spl0_2
| ~ spl0_247 ),
inference(resolution,[],[f3011,f304]) ).
fof(f304,plain,
( ssList(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f4422,plain,
( sk4 != app(app(cons(sk11,sk3),sk3),cons(sk12,sk3))
| spl0_75
| ~ spl0_222
| ~ spl0_224
| ~ spl0_228 ),
inference(forward_demodulation,[],[f4421,f4410]) ).
fof(f4410,plain,
( sk3 = sk13
| ~ spl0_222
| ~ spl0_224
| ~ spl0_228 ),
inference(forward_demodulation,[],[f2787,f4368]) ).
fof(f2787,plain,
( nil = sk13
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f4451,plain,
( spl0_331
| ~ spl0_2
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f4450,f4398,f3010,f2723,f2711,f302,f4335]) ).
fof(f4398,plain,
( spl0_332
<=> sk3 = app(app(cons(sk11,nil),sk3),cons(sk12,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f4450,plain,
( sk3 = app(cons(sk11,sk3),cons(sk12,sk3))
| ~ spl0_2
| ~ spl0_222
| ~ spl0_224
| ~ spl0_247
| ~ spl0_332 ),
inference(forward_demodulation,[],[f4449,f3137]) ).
fof(f4449,plain,
( sk3 = app(app(cons(sk11,sk3),sk3),cons(sk12,sk3))
| ~ spl0_222
| ~ spl0_224
| ~ spl0_332 ),
inference(forward_demodulation,[],[f4399,f4368]) ).
fof(f4399,plain,
( sk3 = app(app(cons(sk11,nil),sk3),cons(sk12,nil))
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f4398]) ).
fof(f4404,plain,
( spl0_3
| spl0_332
| ~ spl0_224
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f4343,f2792,f2723,f4398,f307]) ).
fof(f2792,plain,
( spl0_229
<=> sk3 = sk13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f4343,plain,
( sk3 = app(app(cons(sk11,nil),sk3),cons(sk12,nil))
| ssItem(sk5)
| ~ spl0_224
| ~ spl0_229 ),
inference(forward_demodulation,[],[f4342,f2725]) ).
fof(f4342,plain,
( sk4 = app(app(cons(sk11,nil),sk3),cons(sk12,nil))
| ssItem(sk5)
| ~ spl0_229 ),
inference(forward_demodulation,[],[f255,f2794]) ).
fof(f2794,plain,
( sk3 = sk13
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f4401,plain,
( ~ spl0_332
| spl0_75
| ~ spl0_224
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f4341,f2792,f2723,f625,f4398]) ).
fof(f4341,plain,
( sk3 != app(app(cons(sk11,nil),sk3),cons(sk12,nil))
| spl0_75
| ~ spl0_224
| ~ spl0_229 ),
inference(forward_demodulation,[],[f4340,f2725]) ).
fof(f4340,plain,
( sk4 != app(app(cons(sk11,nil),sk3),cons(sk12,nil))
| spl0_75
| ~ spl0_229 ),
inference(forward_demodulation,[],[f626,f2794]) ).
fof(f4369,plain,
( ~ spl0_2
| ~ spl0_70
| spl0_315 ),
inference(avatar_split_clause,[],[f3739,f3735,f597,f302]) ).
fof(f597,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3735,plain,
( spl0_315
<=> segmentP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3739,plain,
( ~ ssList(sk3)
| ~ spl0_70
| spl0_315 ),
inference(resolution,[],[f3737,f598]) ).
fof(f598,plain,
( ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f3737,plain,
( ~ segmentP(sk3,sk3)
| spl0_315 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f4339,plain,
( spl0_3
| spl0_331
| ~ spl0_17
| ~ spl0_220
| ~ spl0_224
| ~ spl0_229
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f4329,f3010,f2792,f2723,f2663,f376,f4335,f307]) ).
fof(f376,plain,
( spl0_17
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f2663,plain,
( spl0_220
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f4329,plain,
( sk3 = app(cons(sk11,sk3),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_17
| ~ spl0_220
| ~ spl0_224
| ~ spl0_229
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4328,f2725]) ).
fof(f4328,plain,
( sk4 = app(cons(sk11,sk3),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_17
| ~ spl0_220
| ~ spl0_229
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4327,f3142]) ).
fof(f3142,plain,
( cons(sk11,sk3) = app(cons(sk11,sk3),sk3)
| ~ spl0_17
| ~ spl0_220
| ~ spl0_247 ),
inference(forward_demodulation,[],[f3106,f2665]) ).
fof(f2665,plain,
( nil = sk3
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f3106,plain,
( cons(sk11,nil) = app(cons(sk11,sk3),nil)
| ~ spl0_17
| ~ spl0_247 ),
inference(resolution,[],[f3011,f378]) ).
fof(f378,plain,
( ssList(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f4327,plain,
( sk4 = app(app(cons(sk11,sk3),sk3),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_220
| ~ spl0_229 ),
inference(forward_demodulation,[],[f4326,f2794]) ).
fof(f4326,plain,
( sk4 = app(app(cons(sk11,sk3),sk13),cons(sk12,sk3))
| ssItem(sk5)
| ~ spl0_220 ),
inference(forward_demodulation,[],[f255,f2665]) ).
fof(f4338,plain,
( ~ spl0_331
| ~ spl0_17
| spl0_75
| ~ spl0_220
| ~ spl0_224
| ~ spl0_229
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f4333,f3010,f2792,f2723,f2663,f625,f376,f4335]) ).
fof(f4333,plain,
( sk3 != app(cons(sk11,sk3),cons(sk12,sk3))
| ~ spl0_17
| spl0_75
| ~ spl0_220
| ~ spl0_224
| ~ spl0_229
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4332,f2725]) ).
fof(f4332,plain,
( sk4 != app(cons(sk11,sk3),cons(sk12,sk3))
| ~ spl0_17
| spl0_75
| ~ spl0_220
| ~ spl0_229
| ~ spl0_247 ),
inference(forward_demodulation,[],[f4331,f3142]) ).
fof(f4331,plain,
( sk4 != app(app(cons(sk11,sk3),sk3),cons(sk12,sk3))
| spl0_75
| ~ spl0_220
| ~ spl0_229 ),
inference(forward_demodulation,[],[f4330,f2794]) ).
fof(f4330,plain,
( sk4 != app(app(cons(sk11,sk3),sk13),cons(sk12,sk3))
| spl0_75
| ~ spl0_220 ),
inference(forward_demodulation,[],[f626,f2665]) ).
fof(f4319,plain,
( ~ spl0_67
| ~ spl0_9
| ~ spl0_59
| spl0_74
| ~ spl0_75
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f830,f826,f625,f620,f549,f336,f582]) ).
fof(f582,plain,
( spl0_67
<=> ssItem(sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f336,plain,
( spl0_9
<=> ssItem(sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f830,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ spl0_75
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f829,plain,
( sk4 != sk4
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ spl0_75
| ~ spl0_95 ),
inference(superposition,[],[f827,f627]) ).
fof(f627,plain,
( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f827,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
| ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f4317,plain,
( ~ spl0_7
| ~ spl0_330
| spl0_321
| ~ spl0_76
| ~ spl0_136
| ~ spl0_220
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f4267,f2723,f2663,f1121,f630,f3806,f4314,f326]) ).
fof(f326,plain,
( spl0_7
<=> ssList(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4314,plain,
( spl0_330
<=> ssList(app(cons(sk8,sk3),cons(sk9,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f3806,plain,
( spl0_321
<=> sk3 = sk10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f630,plain,
( spl0_76
<=> sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1121,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f4267,plain,
( sk3 = sk10
| ~ ssList(app(cons(sk8,sk3),cons(sk9,sk3)))
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136
| ~ spl0_220
| ~ spl0_224 ),
inference(forward_demodulation,[],[f4266,f2725]) ).
fof(f4266,plain,
( ~ ssList(app(cons(sk8,sk3),cons(sk9,sk3)))
| sk4 = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136
| ~ spl0_220
| ~ spl0_224 ),
inference(forward_demodulation,[],[f4265,f2725]) ).
fof(f4265,plain,
( ~ ssList(app(cons(sk8,sk4),cons(sk9,sk4)))
| sk4 = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136
| ~ spl0_220
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f4264]) ).
fof(f4264,plain,
( sk3 != sk3
| ~ ssList(app(cons(sk8,sk4),cons(sk9,sk4)))
| sk4 = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136
| ~ spl0_220
| ~ spl0_224 ),
inference(forward_demodulation,[],[f4263,f2665]) ).
fof(f4263,plain,
( nil != sk3
| ~ ssList(app(cons(sk8,sk4),cons(sk9,sk4)))
| sk4 = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136
| ~ spl0_224 ),
inference(forward_demodulation,[],[f1207,f2725]) ).
fof(f1207,plain,
( nil != sk4
| ~ ssList(app(cons(sk8,sk4),cons(sk9,sk4)))
| sk4 = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136 ),
inference(inner_rewriting,[],[f1204]) ).
fof(f1204,plain,
( nil != sk4
| ~ ssList(app(cons(sk8,nil),cons(sk9,nil)))
| nil = sk10
| ~ ssList(sk10)
| ~ spl0_76
| ~ spl0_136 ),
inference(superposition,[],[f1122,f632]) ).
fof(f632,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1122,plain,
( ! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f4249,plain,
( ~ spl0_7
| ~ spl0_70
| spl0_307 ),
inference(avatar_split_clause,[],[f3681,f3677,f597,f326]) ).
fof(f3677,plain,
( spl0_307
<=> segmentP(sk10,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f3681,plain,
( ~ ssList(sk10)
| ~ spl0_70
| spl0_307 ),
inference(resolution,[],[f3679,f598]) ).
fof(f3679,plain,
( ~ segmentP(sk10,sk10)
| spl0_307 ),
inference(avatar_component_clause,[],[f3677]) ).
fof(f4248,plain,
( spl0_329
| ~ spl0_65
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f740,f710,f574,f4246]) ).
fof(f4246,plain,
( spl0_329
<=> ! [X0,X1] : duplicatefreeP(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f574,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f710,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f740,plain,
( ! [X0,X1] : duplicatefreeP(skaf42(X0,X1))
| ~ spl0_65
| ~ spl0_91 ),
inference(resolution,[],[f711,f575]) ).
fof(f575,plain,
( ! [X0,X1] : ssList(skaf42(X0,X1))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f711,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f4244,plain,
( spl0_328
| ~ spl0_64
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f739,f710,f570,f4242]) ).
fof(f4242,plain,
( spl0_328
<=> ! [X0,X1] : duplicatefreeP(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f570,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f739,plain,
( ! [X0,X1] : duplicatefreeP(skaf43(X0,X1))
| ~ spl0_64
| ~ spl0_91 ),
inference(resolution,[],[f711,f571]) ).
fof(f571,plain,
( ! [X0,X1] : ssList(skaf43(X0,X1))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f4240,plain,
( spl0_327
| ~ spl0_63
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f738,f710,f566,f4238]) ).
fof(f4238,plain,
( spl0_327
<=> ! [X0,X1] : duplicatefreeP(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f566,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f738,plain,
( ! [X0,X1] : duplicatefreeP(skaf45(X0,X1))
| ~ spl0_63
| ~ spl0_91 ),
inference(resolution,[],[f711,f567]) ).
fof(f567,plain,
( ! [X0,X1] : ssList(skaf45(X0,X1))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f4236,plain,
( spl0_326
| ~ spl0_62
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f737,f710,f562,f4234]) ).
fof(f4234,plain,
( spl0_326
<=> ! [X0,X1] : duplicatefreeP(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f562,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f737,plain,
( ! [X0,X1] : duplicatefreeP(skaf46(X0,X1))
| ~ spl0_62
| ~ spl0_91 ),
inference(resolution,[],[f711,f563]) ).
fof(f563,plain,
( ! [X0,X1] : ssList(skaf46(X0,X1))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f4232,plain,
( spl0_325
| ~ spl0_61
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f736,f710,f558,f4230]) ).
fof(f4230,plain,
( spl0_325
<=> ! [X0,X1] : duplicatefreeP(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f558,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f736,plain,
( ! [X0,X1] : duplicatefreeP(skaf47(X0,X1))
| ~ spl0_61
| ~ spl0_91 ),
inference(resolution,[],[f711,f559]) ).
fof(f559,plain,
( ! [X0,X1] : ssList(skaf47(X0,X1))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f4228,plain,
( spl0_324
| ~ spl0_60
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f735,f710,f554,f4226]) ).
fof(f4226,plain,
( spl0_324
<=> ! [X0,X1] : duplicatefreeP(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f554,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f735,plain,
( ! [X0,X1] : duplicatefreeP(skaf48(X0,X1))
| ~ spl0_60
| ~ spl0_91 ),
inference(resolution,[],[f711,f555]) ).
fof(f555,plain,
( ! [X0,X1] : ssList(skaf48(X0,X1))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f4222,plain,
( ~ spl0_8
| spl0_322
| ~ spl0_323
| ~ spl0_222
| ~ spl0_58
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1206,f1121,f545,f2711,f4219,f4215,f331]) ).
fof(f331,plain,
( spl0_8
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f4215,plain,
( spl0_322
<=> sk4 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f4219,plain,
( spl0_323
<=> ssList(app(cons(sk5,sk4),cons(sk6,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f545,plain,
( spl0_58
<=> sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1206,plain,
( nil != sk4
| ~ ssList(app(cons(sk5,sk4),cons(sk6,sk4)))
| sk4 = sk7
| ~ ssList(sk7)
| ~ spl0_58
| ~ spl0_136 ),
inference(inner_rewriting,[],[f1203]) ).
fof(f1203,plain,
( nil != sk4
| ~ ssList(app(cons(sk5,nil),cons(sk6,nil)))
| nil = sk7
| ~ ssList(sk7)
| ~ spl0_58
| ~ spl0_136 ),
inference(superposition,[],[f1122,f547]) ).
fof(f547,plain,
( sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f3923,plain,
( spl0_294
| ~ spl0_229
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f3629,f3626,f2792,f3611]) ).
fof(f3611,plain,
( spl0_294
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3626,plain,
( spl0_297
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk13,X1),X0) = app(sk13,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3629,plain,
( ! [X0,X1] :
( app(app(sk3,X1),X0) = app(sk3,app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_229
| ~ spl0_297 ),
inference(forward_demodulation,[],[f3627,f2794]) ).
fof(f3627,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk13,X1),X0) = app(sk13,app(X1,X0)) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f3626]) ).
fof(f3854,plain,
( spl0_288
| spl0_291
| ~ spl0_7
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1655,f1590,f326,f3567,f3549]) ).
fof(f3549,plain,
( spl0_288
<=> sk10 = app(skaf80(sk10),cons(skaf78(sk10),cons(skaf79(sk10),skaf81(sk10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f3567,plain,
( spl0_291
<=> equalelemsP(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f1590,plain,
( spl0_177
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1655,plain,
( equalelemsP(sk10)
| sk10 = app(skaf80(sk10),cons(skaf78(sk10),cons(skaf79(sk10),skaf81(sk10))))
| ~ spl0_7
| ~ spl0_177 ),
inference(resolution,[],[f1591,f328]) ).
fof(f328,plain,
( ssList(sk10)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1591,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f3809,plain,
( spl0_320
| spl0_321
| ~ spl0_7
| ~ spl0_172
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f3722,f2663,f1514,f326,f3806,f3803]) ).
fof(f3803,plain,
( spl0_320
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk10,X0)) = app(tl(sk10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f1514,plain,
( spl0_172
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3722,plain,
( ! [X0] :
( sk3 = sk10
| ~ ssList(X0)
| tl(app(sk10,X0)) = app(tl(sk10),X0) )
| ~ spl0_7
| ~ spl0_172
| ~ spl0_220 ),
inference(forward_demodulation,[],[f1562,f2665]) ).
fof(f1562,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk10
| tl(app(sk10,X0)) = app(tl(sk10),X0) )
| ~ spl0_7
| ~ spl0_172 ),
inference(resolution,[],[f1515,f328]) ).
fof(f1515,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f3801,plain,
( ~ spl0_319
| ~ spl0_229
| spl0_289 ),
inference(avatar_split_clause,[],[f3573,f3554,f2792,f3798]) ).
fof(f3798,plain,
( spl0_319
<=> sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f3554,plain,
( spl0_289
<=> sk13 = app(skaf80(sk13),cons(skaf78(sk13),cons(skaf79(sk13),skaf81(sk13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f3573,plain,
( sk3 != app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3))))
| ~ spl0_229
| spl0_289 ),
inference(forward_demodulation,[],[f3555,f2794]) ).
fof(f3555,plain,
( sk13 != app(skaf80(sk13),cons(skaf78(sk13),cons(skaf79(sk13),skaf81(sk13))))
| spl0_289 ),
inference(avatar_component_clause,[],[f3554]) ).
fof(f3756,plain,
( ~ spl0_318
| ~ spl0_220
| spl0_282 ),
inference(avatar_split_clause,[],[f3523,f3513,f2663,f3753]) ).
fof(f3753,plain,
( spl0_318
<=> ssList(app(cons(sk5,sk3),cons(sk6,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f3513,plain,
( spl0_282
<=> ssList(app(cons(sk5,nil),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f3523,plain,
( ~ ssList(app(cons(sk5,sk3),cons(sk6,sk3)))
| ~ spl0_220
| spl0_282 ),
inference(forward_demodulation,[],[f3515,f2665]) ).
fof(f3515,plain,
( ~ ssList(app(cons(sk5,nil),cons(sk6,nil)))
| spl0_282 ),
inference(avatar_component_clause,[],[f3513]) ).
fof(f3749,plain,
( ~ spl0_317
| ~ spl0_17
| ~ spl0_220
| ~ spl0_229
| ~ spl0_247
| spl0_310 ),
inference(avatar_split_clause,[],[f3716,f3695,f3010,f2792,f2663,f376,f3746]) ).
fof(f3746,plain,
( spl0_317
<=> ssList(cons(sk11,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f3695,plain,
( spl0_310
<=> ssList(app(cons(sk11,nil),sk13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f3716,plain,
( ~ ssList(cons(sk11,sk3))
| ~ spl0_17
| ~ spl0_220
| ~ spl0_229
| ~ spl0_247
| spl0_310 ),
inference(forward_demodulation,[],[f3715,f3142]) ).
fof(f3715,plain,
( ~ ssList(app(cons(sk11,sk3),sk3))
| ~ spl0_220
| ~ spl0_229
| spl0_310 ),
inference(forward_demodulation,[],[f3705,f2665]) ).
fof(f3705,plain,
( ~ ssList(app(cons(sk11,nil),sk3))
| ~ spl0_229
| spl0_310 ),
inference(forward_demodulation,[],[f3697,f2794]) ).
fof(f3697,plain,
( ~ ssList(app(cons(sk11,nil),sk13))
| spl0_310 ),
inference(avatar_component_clause,[],[f3695]) ).
fof(f3744,plain,
( ~ spl0_316
| ~ spl0_220
| spl0_304 ),
inference(avatar_split_clause,[],[f3674,f3656,f2663,f3741]) ).
fof(f3741,plain,
( spl0_316
<=> ssList(cons(sk12,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3656,plain,
( spl0_304
<=> ssList(cons(sk12,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f3674,plain,
( ~ ssList(cons(sk12,sk3))
| ~ spl0_220
| spl0_304 ),
inference(forward_demodulation,[],[f3658,f2665]) ).
fof(f3658,plain,
( ~ ssList(cons(sk12,nil))
| spl0_304 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f3738,plain,
( ~ spl0_315
| ~ spl0_224
| ~ spl0_229
| spl0_306 ),
inference(avatar_split_clause,[],[f3717,f3664,f2792,f2723,f3735]) ).
fof(f3664,plain,
( spl0_306
<=> segmentP(sk4,sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3717,plain,
( ~ segmentP(sk3,sk3)
| ~ spl0_224
| ~ spl0_229
| spl0_306 ),
inference(forward_demodulation,[],[f3668,f2725]) ).
fof(f3668,plain,
( ~ segmentP(sk4,sk3)
| ~ spl0_229
| spl0_306 ),
inference(forward_demodulation,[],[f3665,f2794]) ).
fof(f3665,plain,
( ~ segmentP(sk4,sk13)
| spl0_306 ),
inference(avatar_component_clause,[],[f3664]) ).
fof(f3733,plain,
( ~ spl0_314
| ~ spl0_224
| spl0_311 ),
inference(avatar_split_clause,[],[f3703,f3699,f2723,f3730]) ).
fof(f3730,plain,
( spl0_314
<=> memberP(sk3,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3699,plain,
( spl0_311
<=> memberP(sk4,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f3703,plain,
( ~ memberP(sk3,sk12)
| ~ spl0_224
| spl0_311 ),
inference(forward_demodulation,[],[f3700,f2725]) ).
fof(f3700,plain,
( ~ memberP(sk4,sk12)
| spl0_311 ),
inference(avatar_component_clause,[],[f3699]) ).
fof(f3728,plain,
( ~ spl0_313
| ~ spl0_224
| spl0_283 ),
inference(avatar_split_clause,[],[f3521,f3517,f2723,f3725]) ).
fof(f3725,plain,
( spl0_313
<=> rearsegP(sk3,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3517,plain,
( spl0_283
<=> rearsegP(sk4,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f3521,plain,
( ~ rearsegP(sk3,sk7)
| ~ spl0_224
| spl0_283 ),
inference(forward_demodulation,[],[f3518,f2725]) ).
fof(f3518,plain,
( ~ rearsegP(sk4,sk7)
| spl0_283 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f3714,plain,
( spl0_291
| ~ spl0_10
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f3237,f2736,f341,f3567]) ).
fof(f341,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2736,plain,
( spl0_226
<=> nil = sk10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f3237,plain,
( equalelemsP(sk10)
| ~ spl0_10
| ~ spl0_226 ),
inference(superposition,[],[f343,f2738]) ).
fof(f2738,plain,
( nil = sk10
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f343,plain,
( equalelemsP(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f3713,plain,
( ~ spl0_312
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_311 ),
inference(avatar_split_clause,[],[f3704,f3699,f2736,f2723,f2663,f3710]) ).
fof(f3710,plain,
( spl0_312
<=> memberP(sk10,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f3704,plain,
( ~ memberP(sk10,sk12)
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_311 ),
inference(forward_demodulation,[],[f3703,f3236]) ).
fof(f3236,plain,
( sk3 = sk10
| ~ spl0_220
| ~ spl0_226 ),
inference(superposition,[],[f2738,f2665]) ).
fof(f3702,plain,
( ~ spl0_17
| ~ spl0_67
| ~ spl0_310
| ~ spl0_1
| spl0_311
| ~ spl0_75
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1840,f1822,f625,f3699,f297,f3695,f582,f376]) ).
fof(f297,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1822,plain,
( spl0_194
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1840,plain,
( memberP(sk4,sk12)
| ~ ssList(sk4)
| ~ ssList(app(cons(sk11,nil),sk13))
| ~ ssItem(sk12)
| ~ ssList(nil)
| ~ spl0_75
| ~ spl0_194 ),
inference(superposition,[],[f1823,f627]) ).
fof(f1823,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f3691,plain,
( ~ spl0_309
| ~ spl0_220
| ~ spl0_226
| spl0_304 ),
inference(avatar_split_clause,[],[f3675,f3656,f2736,f2663,f3688]) ).
fof(f3688,plain,
( spl0_309
<=> ssList(cons(sk12,sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3675,plain,
( ~ ssList(cons(sk12,sk10))
| ~ spl0_220
| ~ spl0_226
| spl0_304 ),
inference(forward_demodulation,[],[f3674,f3236]) ).
fof(f3686,plain,
( ~ spl0_308
| ~ spl0_220
| ~ spl0_226
| spl0_305 ),
inference(avatar_split_clause,[],[f3673,f3660,f2736,f2663,f3683]) ).
fof(f3683,plain,
( spl0_308
<=> ssList(cons(sk11,sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f3660,plain,
( spl0_305
<=> ssList(cons(sk11,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3673,plain,
( ~ ssList(cons(sk11,sk10))
| ~ spl0_220
| ~ spl0_226
| spl0_305 ),
inference(forward_demodulation,[],[f3672,f3236]) ).
fof(f3672,plain,
( ~ ssList(cons(sk11,sk3))
| ~ spl0_220
| spl0_305 ),
inference(forward_demodulation,[],[f3662,f2665]) ).
fof(f3662,plain,
( ~ ssList(cons(sk11,nil))
| spl0_305 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f3680,plain,
( ~ spl0_307
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| ~ spl0_229
| spl0_306 ),
inference(avatar_split_clause,[],[f3671,f3664,f2792,f2736,f2723,f2663,f3677]) ).
fof(f3671,plain,
( ~ segmentP(sk10,sk10)
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| ~ spl0_229
| spl0_306 ),
inference(forward_demodulation,[],[f3670,f3236]) ).
fof(f3670,plain,
( ~ segmentP(sk3,sk10)
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| ~ spl0_229
| spl0_306 ),
inference(forward_demodulation,[],[f3669,f2725]) ).
fof(f3669,plain,
( ~ segmentP(sk4,sk10)
| ~ spl0_220
| ~ spl0_226
| ~ spl0_229
| spl0_306 ),
inference(forward_demodulation,[],[f3668,f3236]) ).
fof(f3667,plain,
( ~ spl0_304
| ~ spl0_305
| ~ spl0_59
| ~ spl0_1
| spl0_306
| ~ spl0_75
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1832,f1818,f625,f3664,f297,f549,f3660,f3656]) ).
fof(f1818,plain,
( spl0_193
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1832,plain,
( segmentP(sk4,sk13)
| ~ ssList(sk4)
| ~ ssList(sk13)
| ~ ssList(cons(sk11,nil))
| ~ ssList(cons(sk12,nil))
| ~ spl0_75
| ~ spl0_193 ),
inference(superposition,[],[f1819,f627]) ).
fof(f1819,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f3654,plain,
( spl0_303
| ~ spl0_6
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1716,f1598,f321,f3652]) ).
fof(f3652,plain,
( spl0_303
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk6,app(X1,X0)) = app(cons(sk6,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f321,plain,
( spl0_6
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1598,plain,
( spl0_179
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1716,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk6,app(X1,X0)) = app(cons(sk6,X1),X0) )
| ~ spl0_6
| ~ spl0_179 ),
inference(resolution,[],[f1599,f323]) ).
fof(f323,plain,
( ssItem(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f1599,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f3650,plain,
( spl0_302
| ~ spl0_67
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1715,f1598,f582,f3648]) ).
fof(f3648,plain,
( spl0_302
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk12,app(X1,X0)) = app(cons(sk12,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1715,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk12,app(X1,X0)) = app(cons(sk12,X1),X0) )
| ~ spl0_67
| ~ spl0_179 ),
inference(resolution,[],[f1599,f584]) ).
fof(f584,plain,
( ssItem(sk12)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f3646,plain,
( spl0_301
| ~ spl0_9
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1714,f1598,f336,f3644]) ).
fof(f3644,plain,
( spl0_301
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk11,app(X1,X0)) = app(cons(sk11,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1714,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk11,app(X1,X0)) = app(cons(sk11,X1),X0) )
| ~ spl0_9
| ~ spl0_179 ),
inference(resolution,[],[f1599,f338]) ).
fof(f338,plain,
( ssItem(sk11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f3642,plain,
( spl0_300
| ~ spl0_5
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1713,f1598,f316,f3640]) ).
fof(f3640,plain,
( spl0_300
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk9,app(X1,X0)) = app(cons(sk9,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f316,plain,
( spl0_5
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk9,app(X1,X0)) = app(cons(sk9,X1),X0) )
| ~ spl0_5
| ~ spl0_179 ),
inference(resolution,[],[f1599,f318]) ).
fof(f318,plain,
( ssItem(sk9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f3638,plain,
( spl0_299
| ~ spl0_4
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1712,f1598,f311,f3636]) ).
fof(f3636,plain,
( spl0_299
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk8,app(X1,X0)) = app(cons(sk8,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f311,plain,
( spl0_4
<=> ssItem(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1712,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk8,app(X1,X0)) = app(cons(sk8,X1),X0) )
| ~ spl0_4
| ~ spl0_179 ),
inference(resolution,[],[f1599,f313]) ).
fof(f313,plain,
( ssItem(sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f3634,plain,
( spl0_298
| ~ spl0_8
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1693,f1594,f331,f3632]) ).
fof(f3632,plain,
( spl0_298
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1594,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1693,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) )
| ~ spl0_8
| ~ spl0_178 ),
inference(resolution,[],[f1595,f333]) ).
fof(f333,plain,
( ssList(sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f3628,plain,
( spl0_297
| ~ spl0_59
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1692,f1594,f549,f3626]) ).
fof(f1692,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk13,X1),X0) = app(sk13,app(X1,X0)) )
| ~ spl0_59
| ~ spl0_178 ),
inference(resolution,[],[f1595,f551]) ).
fof(f3624,plain,
( spl0_296
| ~ spl0_7
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1691,f1594,f326,f3622]) ).
fof(f3622,plain,
( spl0_296
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk10,X1),X0) = app(sk10,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f1691,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk10,X1),X0) = app(sk10,app(X1,X0)) )
| ~ spl0_7
| ~ spl0_178 ),
inference(resolution,[],[f1595,f328]) ).
fof(f3618,plain,
( spl0_295
| ~ spl0_1
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1690,f1594,f297,f3616]) ).
fof(f3616,plain,
( spl0_295
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f1690,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_1
| ~ spl0_178 ),
inference(resolution,[],[f1595,f299]) ).
fof(f299,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f3613,plain,
( spl0_294
| ~ spl0_2
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1689,f1594,f302,f3611]) ).
fof(f1689,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_2
| ~ spl0_178 ),
inference(resolution,[],[f1595,f304]) ).
fof(f3583,plain,
( spl0_292
| spl0_293
| ~ spl0_8
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1657,f1590,f331,f3580,f3576]) ).
fof(f3576,plain,
( spl0_292
<=> sk7 = app(skaf80(sk7),cons(skaf78(sk7),cons(skaf79(sk7),skaf81(sk7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3580,plain,
( spl0_293
<=> equalelemsP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f1657,plain,
( equalelemsP(sk7)
| sk7 = app(skaf80(sk7),cons(skaf78(sk7),cons(skaf79(sk7),skaf81(sk7))))
| ~ spl0_8
| ~ spl0_177 ),
inference(resolution,[],[f1591,f333]) ).
fof(f3571,plain,
( spl0_288
| ~ spl0_220
| ~ spl0_226
| ~ spl0_229
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f3565,f3554,f2792,f2736,f2663,f3549]) ).
fof(f3565,plain,
( sk10 = app(skaf80(sk10),cons(skaf78(sk10),cons(skaf79(sk10),skaf81(sk10))))
| ~ spl0_220
| ~ spl0_226
| ~ spl0_229
| ~ spl0_289 ),
inference(forward_demodulation,[],[f3564,f3236]) ).
fof(f3564,plain,
( sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3))))
| ~ spl0_229
| ~ spl0_289 ),
inference(forward_demodulation,[],[f3556,f2794]) ).
fof(f3556,plain,
( sk13 = app(skaf80(sk13),cons(skaf78(sk13),cons(skaf79(sk13),skaf81(sk13))))
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f3554]) ).
fof(f3570,plain,
( ~ spl0_291
| ~ spl0_220
| ~ spl0_226
| ~ spl0_229
| spl0_290 ),
inference(avatar_split_clause,[],[f3563,f3558,f2792,f2736,f2663,f3567]) ).
fof(f3558,plain,
( spl0_290
<=> equalelemsP(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f3563,plain,
( ~ equalelemsP(sk10)
| ~ spl0_220
| ~ spl0_226
| ~ spl0_229
| spl0_290 ),
inference(forward_demodulation,[],[f3562,f3236]) ).
fof(f3562,plain,
( ~ equalelemsP(sk3)
| ~ spl0_229
| spl0_290 ),
inference(forward_demodulation,[],[f3559,f2794]) ).
fof(f3559,plain,
( ~ equalelemsP(sk13)
| spl0_290 ),
inference(avatar_component_clause,[],[f3558]) ).
fof(f3561,plain,
( spl0_289
| spl0_290
| ~ spl0_59
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1656,f1590,f549,f3558,f3554]) ).
fof(f1656,plain,
( equalelemsP(sk13)
| sk13 = app(skaf80(sk13),cons(skaf78(sk13),cons(skaf79(sk13),skaf81(sk13))))
| ~ spl0_59
| ~ spl0_177 ),
inference(resolution,[],[f1591,f551]) ).
fof(f3552,plain,
( ~ spl0_288
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_286 ),
inference(avatar_split_clause,[],[f3547,f3537,f2736,f2723,f2663,f3549]) ).
fof(f3537,plain,
( spl0_286
<=> sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f3547,plain,
( sk10 != app(skaf80(sk10),cons(skaf78(sk10),cons(skaf79(sk10),skaf81(sk10))))
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_286 ),
inference(forward_demodulation,[],[f3546,f3236]) ).
fof(f3546,plain,
( sk3 != app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3))))
| ~ spl0_224
| spl0_286 ),
inference(forward_demodulation,[],[f3538,f2725]) ).
fof(f3538,plain,
( sk4 != app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4))))
| spl0_286 ),
inference(avatar_component_clause,[],[f3537]) ).
fof(f3544,plain,
( spl0_286
| spl0_287
| ~ spl0_1
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1654,f1590,f297,f3541,f3537]) ).
fof(f3541,plain,
( spl0_287
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1654,plain,
( equalelemsP(sk4)
| sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4))))
| ~ spl0_1
| ~ spl0_177 ),
inference(resolution,[],[f1591,f299]) ).
fof(f3534,plain,
( ~ spl0_285
| ~ spl0_220
| ~ spl0_226
| spl0_282 ),
inference(avatar_split_clause,[],[f3524,f3513,f2736,f2663,f3531]) ).
fof(f3531,plain,
( spl0_285
<=> ssList(app(cons(sk5,sk10),cons(sk6,sk10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f3524,plain,
( ~ ssList(app(cons(sk5,sk10),cons(sk6,sk10)))
| ~ spl0_220
| ~ spl0_226
| spl0_282 ),
inference(forward_demodulation,[],[f3523,f3236]) ).
fof(f3529,plain,
( ~ spl0_284
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_283 ),
inference(avatar_split_clause,[],[f3522,f3517,f2736,f2723,f2663,f3526]) ).
fof(f3526,plain,
( spl0_284
<=> rearsegP(sk10,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f3522,plain,
( ~ rearsegP(sk10,sk7)
| ~ spl0_220
| ~ spl0_224
| ~ spl0_226
| spl0_283 ),
inference(forward_demodulation,[],[f3521,f3236]) ).
fof(f3520,plain,
( ~ spl0_282
| ~ spl0_8
| ~ spl0_1
| spl0_283
| ~ spl0_58
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1313,f1250,f545,f3517,f297,f331,f3513]) ).
fof(f1250,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1313,plain,
( rearsegP(sk4,sk7)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ ssList(app(cons(sk5,nil),cons(sk6,nil)))
| ~ spl0_58
| ~ spl0_147 ),
inference(superposition,[],[f1251,f547]) ).
fof(f1251,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f3461,plain,
( spl0_231
| spl0_281
| ~ spl0_8
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1564,f1514,f331,f3459,f2810]) ).
fof(f2810,plain,
( spl0_231
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f3459,plain,
( spl0_281
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk7,X0)) = app(tl(sk7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1564,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| tl(app(sk7,X0)) = app(tl(sk7),X0) )
| ~ spl0_8
| ~ spl0_172 ),
inference(resolution,[],[f1515,f333]) ).
fof(f3457,plain,
( spl0_228
| spl0_280
| ~ spl0_59
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1563,f1514,f549,f3455,f2785]) ).
fof(f3455,plain,
( spl0_280
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk13,X0)) = app(tl(sk13),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1563,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk13
| tl(app(sk13,X0)) = app(tl(sk13),X0) )
| ~ spl0_59
| ~ spl0_172 ),
inference(resolution,[],[f1515,f551]) ).
fof(f3453,plain,
( spl0_222
| spl0_279
| ~ spl0_1
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1561,f1514,f297,f3451,f2711]) ).
fof(f3451,plain,
( spl0_279
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk4,X0)) = app(tl(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1561,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| tl(app(sk4,X0)) = app(tl(sk4),X0) )
| ~ spl0_1
| ~ spl0_172 ),
inference(resolution,[],[f1515,f299]) ).
fof(f3449,plain,
( spl0_278
| ~ spl0_53
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f734,f710,f524,f3447]) ).
fof(f3447,plain,
( spl0_278
<=> ! [X0] : duplicatefreeP(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f524,plain,
( spl0_53
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f734,plain,
( ! [X0] : duplicatefreeP(skaf51(X0))
| ~ spl0_53
| ~ spl0_91 ),
inference(resolution,[],[f711,f525]) ).
fof(f525,plain,
( ! [X0] : ssList(skaf51(X0))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f3445,plain,
( spl0_277
| ~ spl0_52
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f733,f710,f520,f3443]) ).
fof(f3443,plain,
( spl0_277
<=> ! [X0] : duplicatefreeP(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f520,plain,
( spl0_52
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f733,plain,
( ! [X0] : duplicatefreeP(skaf52(X0))
| ~ spl0_52
| ~ spl0_91 ),
inference(resolution,[],[f711,f521]) ).
fof(f521,plain,
( ! [X0] : ssList(skaf52(X0))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f3440,plain,
( ~ spl0_276
| spl0_20
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2675,f2663,f391,f3437]) ).
fof(f3437,plain,
( spl0_276
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f391,plain,
( spl0_20
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2675,plain,
( ~ singletonP(sk3)
| spl0_20
| ~ spl0_220 ),
inference(superposition,[],[f393,f2665]) ).
fof(f393,plain,
( ~ singletonP(nil)
| spl0_20 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f3435,plain,
( spl0_275
| ~ spl0_51
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f732,f710,f516,f3433]) ).
fof(f3433,plain,
( spl0_275
<=> ! [X0] : duplicatefreeP(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f516,plain,
( spl0_51
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f732,plain,
( ! [X0] : duplicatefreeP(skaf53(X0))
| ~ spl0_51
| ~ spl0_91 ),
inference(resolution,[],[f711,f517]) ).
fof(f517,plain,
( ! [X0] : ssList(skaf53(X0))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f3431,plain,
( spl0_274
| ~ spl0_48
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f731,f710,f504,f3429]) ).
fof(f3429,plain,
( spl0_274
<=> ! [X0] : duplicatefreeP(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f504,plain,
( spl0_48
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f731,plain,
( ! [X0] : duplicatefreeP(skaf56(X0))
| ~ spl0_48
| ~ spl0_91 ),
inference(resolution,[],[f711,f505]) ).
fof(f505,plain,
( ! [X0] : ssList(skaf56(X0))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f3427,plain,
( spl0_273
| ~ spl0_47
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f730,f710,f500,f3425]) ).
fof(f3425,plain,
( spl0_273
<=> ! [X0] : duplicatefreeP(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f500,plain,
( spl0_47
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f730,plain,
( ! [X0] : duplicatefreeP(skaf57(X0))
| ~ spl0_47
| ~ spl0_91 ),
inference(resolution,[],[f711,f501]) ).
fof(f501,plain,
( ! [X0] : ssList(skaf57(X0))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f3423,plain,
( spl0_272
| ~ spl0_46
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f729,f710,f496,f3421]) ).
fof(f3421,plain,
( spl0_272
<=> ! [X0] : duplicatefreeP(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f496,plain,
( spl0_46
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f729,plain,
( ! [X0] : duplicatefreeP(skaf58(X0))
| ~ spl0_46
| ~ spl0_91 ),
inference(resolution,[],[f711,f497]) ).
fof(f497,plain,
( ! [X0] : ssList(skaf58(X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f3419,plain,
( spl0_271
| ~ spl0_43
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f728,f710,f484,f3417]) ).
fof(f3417,plain,
( spl0_271
<=> ! [X0] : duplicatefreeP(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f484,plain,
( spl0_43
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f728,plain,
( ! [X0] : duplicatefreeP(skaf61(X0))
| ~ spl0_43
| ~ spl0_91 ),
inference(resolution,[],[f711,f485]) ).
fof(f485,plain,
( ! [X0] : ssList(skaf61(X0))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f3415,plain,
( spl0_270
| ~ spl0_42
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f727,f710,f480,f3413]) ).
fof(f3413,plain,
( spl0_270
<=> ! [X0] : duplicatefreeP(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f480,plain,
( spl0_42
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f727,plain,
( ! [X0] : duplicatefreeP(skaf62(X0))
| ~ spl0_42
| ~ spl0_91 ),
inference(resolution,[],[f711,f481]) ).
fof(f481,plain,
( ! [X0] : ssList(skaf62(X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f3411,plain,
( spl0_269
| ~ spl0_41
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f726,f710,f476,f3409]) ).
fof(f3409,plain,
( spl0_269
<=> ! [X0] : duplicatefreeP(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f476,plain,
( spl0_41
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f726,plain,
( ! [X0] : duplicatefreeP(skaf63(X0))
| ~ spl0_41
| ~ spl0_91 ),
inference(resolution,[],[f711,f477]) ).
fof(f477,plain,
( ! [X0] : ssList(skaf63(X0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f3407,plain,
( spl0_268
| ~ spl0_38
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f725,f710,f464,f3405]) ).
fof(f3405,plain,
( spl0_268
<=> ! [X0] : duplicatefreeP(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f464,plain,
( spl0_38
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f725,plain,
( ! [X0] : duplicatefreeP(skaf66(X0))
| ~ spl0_38
| ~ spl0_91 ),
inference(resolution,[],[f711,f465]) ).
fof(f465,plain,
( ! [X0] : ssList(skaf66(X0))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f3403,plain,
( spl0_267
| ~ spl0_37
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f724,f710,f460,f3401]) ).
fof(f3401,plain,
( spl0_267
<=> ! [X0] : duplicatefreeP(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f460,plain,
( spl0_37
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f724,plain,
( ! [X0] : duplicatefreeP(skaf67(X0))
| ~ spl0_37
| ~ spl0_91 ),
inference(resolution,[],[f711,f461]) ).
fof(f461,plain,
( ! [X0] : ssList(skaf67(X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f3399,plain,
( spl0_266
| ~ spl0_36
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f723,f710,f456,f3397]) ).
fof(f3397,plain,
( spl0_266
<=> ! [X0] : duplicatefreeP(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f456,plain,
( spl0_36
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f723,plain,
( ! [X0] : duplicatefreeP(skaf68(X0))
| ~ spl0_36
| ~ spl0_91 ),
inference(resolution,[],[f711,f457]) ).
fof(f457,plain,
( ! [X0] : ssList(skaf68(X0))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f3394,plain,
( spl0_265
| ~ spl0_16
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2673,f2663,f371,f3391]) ).
fof(f3391,plain,
( spl0_265
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f371,plain,
( spl0_16
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2673,plain,
( cyclefreeP(sk3)
| ~ spl0_16
| ~ spl0_220 ),
inference(superposition,[],[f373,f2665]) ).
fof(f373,plain,
( cyclefreeP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f3389,plain,
( spl0_264
| ~ spl0_33
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f722,f710,f444,f3387]) ).
fof(f3387,plain,
( spl0_264
<=> ! [X0] : duplicatefreeP(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f444,plain,
( spl0_33
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f722,plain,
( ! [X0] : duplicatefreeP(skaf71(X0))
| ~ spl0_33
| ~ spl0_91 ),
inference(resolution,[],[f711,f445]) ).
fof(f445,plain,
( ! [X0] : ssList(skaf71(X0))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f3385,plain,
( spl0_263
| ~ spl0_32
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f721,f710,f440,f3383]) ).
fof(f3383,plain,
( spl0_263
<=> ! [X0] : duplicatefreeP(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f440,plain,
( spl0_32
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f721,plain,
( ! [X0] : duplicatefreeP(skaf72(X0))
| ~ spl0_32
| ~ spl0_91 ),
inference(resolution,[],[f711,f441]) ).
fof(f441,plain,
( ! [X0] : ssList(skaf72(X0))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f3381,plain,
( spl0_262
| ~ spl0_31
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f720,f710,f436,f3379]) ).
fof(f3379,plain,
( spl0_262
<=> ! [X0] : duplicatefreeP(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f436,plain,
( spl0_31
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f720,plain,
( ! [X0] : duplicatefreeP(skaf73(X0))
| ~ spl0_31
| ~ spl0_91 ),
inference(resolution,[],[f711,f437]) ).
fof(f437,plain,
( ! [X0] : ssList(skaf73(X0))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f3377,plain,
( spl0_261
| ~ spl0_29
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f719,f710,f428,f3375]) ).
fof(f3375,plain,
( spl0_261
<=> ! [X0] : duplicatefreeP(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f428,plain,
( spl0_29
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f719,plain,
( ! [X0] : duplicatefreeP(skaf75(X0))
| ~ spl0_29
| ~ spl0_91 ),
inference(resolution,[],[f711,f429]) ).
fof(f429,plain,
( ! [X0] : ssList(skaf75(X0))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f3373,plain,
( spl0_260
| ~ spl0_28
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f718,f710,f424,f3371]) ).
fof(f3371,plain,
( spl0_260
<=> ! [X0] : duplicatefreeP(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f424,plain,
( spl0_28
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f718,plain,
( ! [X0] : duplicatefreeP(skaf76(X0))
| ~ spl0_28
| ~ spl0_91 ),
inference(resolution,[],[f711,f425]) ).
fof(f425,plain,
( ! [X0] : ssList(skaf76(X0))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f3369,plain,
( spl0_259
| ~ spl0_27
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f717,f710,f420,f3367]) ).
fof(f3367,plain,
( spl0_259
<=> ! [X0] : duplicatefreeP(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f420,plain,
( spl0_27
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f717,plain,
( ! [X0] : duplicatefreeP(skaf77(X0))
| ~ spl0_27
| ~ spl0_91 ),
inference(resolution,[],[f711,f421]) ).
fof(f421,plain,
( ! [X0] : ssList(skaf77(X0))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f3365,plain,
( spl0_258
| ~ spl0_24
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f716,f710,f408,f3363]) ).
fof(f3363,plain,
( spl0_258
<=> ! [X0] : duplicatefreeP(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f408,plain,
( spl0_24
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f716,plain,
( ! [X0] : duplicatefreeP(skaf80(X0))
| ~ spl0_24
| ~ spl0_91 ),
inference(resolution,[],[f711,f409]) ).
fof(f409,plain,
( ! [X0] : ssList(skaf80(X0))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f3361,plain,
( spl0_257
| ~ spl0_23
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f715,f710,f404,f3359]) ).
fof(f3359,plain,
( spl0_257
<=> ! [X0] : duplicatefreeP(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f404,plain,
( spl0_23
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f715,plain,
( ! [X0] : duplicatefreeP(skaf81(X0))
| ~ spl0_23
| ~ spl0_91 ),
inference(resolution,[],[f711,f405]) ).
fof(f405,plain,
( ! [X0] : ssList(skaf81(X0))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f3357,plain,
( spl0_256
| ~ spl0_22
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f714,f710,f400,f3355]) ).
fof(f3355,plain,
( spl0_256
<=> ! [X0] : duplicatefreeP(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f400,plain,
( spl0_22
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f714,plain,
( ! [X0] : duplicatefreeP(skaf82(X0))
| ~ spl0_22
| ~ spl0_91 ),
inference(resolution,[],[f711,f401]) ).
fof(f401,plain,
( ! [X0] : ssList(skaf82(X0))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f3312,plain,
( spl0_255
| ~ spl0_15
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2672,f2663,f366,f3309]) ).
fof(f3309,plain,
( spl0_255
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f366,plain,
( spl0_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2672,plain,
( totalorderP(sk3)
| ~ spl0_15
| ~ spl0_220 ),
inference(superposition,[],[f368,f2665]) ).
fof(f368,plain,
( totalorderP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f3307,plain,
( spl0_231
| spl0_254
| ~ spl0_8
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1393,f1322,f331,f3305,f2810]) ).
fof(f3305,plain,
( spl0_254
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk7) = hd(app(sk7,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f1322,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1393,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| hd(sk7) = hd(app(sk7,X0)) )
| ~ spl0_8
| ~ spl0_150 ),
inference(resolution,[],[f1323,f333]) ).
fof(f1323,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f3303,plain,
( spl0_228
| spl0_253
| ~ spl0_59
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1392,f1322,f549,f3301,f2785]) ).
fof(f3301,plain,
( spl0_253
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk13) = hd(app(sk13,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1392,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk13
| hd(sk13) = hd(app(sk13,X0)) )
| ~ spl0_59
| ~ spl0_150 ),
inference(resolution,[],[f1323,f551]) ).
fof(f3233,plain,
( spl0_226
| spl0_252
| ~ spl0_7
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1391,f1322,f326,f3231,f2736]) ).
fof(f3231,plain,
( spl0_252
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk10) = hd(app(sk10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f1391,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk10
| hd(sk10) = hd(app(sk10,X0)) )
| ~ spl0_7
| ~ spl0_150 ),
inference(resolution,[],[f1323,f328]) ).
fof(f3229,plain,
( spl0_222
| spl0_251
| ~ spl0_1
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1390,f1322,f297,f3227,f2711]) ).
fof(f3227,plain,
( spl0_251
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1390,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_1
| ~ spl0_150 ),
inference(resolution,[],[f1323,f299]) ).
fof(f3025,plain,
( spl0_250
| ~ spl0_14
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2671,f2663,f361,f3022]) ).
fof(f3022,plain,
( spl0_250
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f361,plain,
( spl0_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2671,plain,
( strictorderP(sk3)
| ~ spl0_14
| ~ spl0_220 ),
inference(superposition,[],[f363,f2665]) ).
fof(f363,plain,
( strictorderP(nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f3020,plain,
( spl0_249
| ~ spl0_220
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f3000,f2997,f2663,f3018]) ).
fof(f3018,plain,
( spl0_249
<=> ! [X0] :
( cons(sk6,X0) = app(cons(sk6,sk3),X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f2997,plain,
( spl0_244
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f3000,plain,
( ! [X0] :
( cons(sk6,X0) = app(cons(sk6,sk3),X0)
| ~ ssList(X0) )
| ~ spl0_220
| ~ spl0_244 ),
inference(forward_demodulation,[],[f2998,f2665]) ).
fof(f2998,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f3016,plain,
( spl0_248
| ~ spl0_220
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f2995,f2992,f2663,f3014]) ).
fof(f3014,plain,
( spl0_248
<=> ! [X0] :
( cons(sk12,X0) = app(cons(sk12,sk3),X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2992,plain,
( spl0_243
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk12,X0) = app(cons(sk12,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f2995,plain,
( ! [X0] :
( cons(sk12,X0) = app(cons(sk12,sk3),X0)
| ~ ssList(X0) )
| ~ spl0_220
| ~ spl0_243 ),
inference(forward_demodulation,[],[f2993,f2665]) ).
fof(f2993,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk12,X0) = app(cons(sk12,nil),X0) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f3012,plain,
( spl0_247
| ~ spl0_220
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f2990,f2987,f2663,f3010]) ).
fof(f2987,plain,
( spl0_242
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk11,X0) = app(cons(sk11,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2990,plain,
( ! [X0] :
( cons(sk11,X0) = app(cons(sk11,sk3),X0)
| ~ ssList(X0) )
| ~ spl0_220
| ~ spl0_242 ),
inference(forward_demodulation,[],[f2988,f2665]) ).
fof(f2988,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk11,X0) = app(cons(sk11,nil),X0) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f3008,plain,
( spl0_246
| ~ spl0_220
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2985,f2982,f2663,f3006]) ).
fof(f3006,plain,
( spl0_246
<=> ! [X0] :
( cons(sk9,X0) = app(cons(sk9,sk3),X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f2982,plain,
( spl0_241
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk9,X0) = app(cons(sk9,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2985,plain,
( ! [X0] :
( cons(sk9,X0) = app(cons(sk9,sk3),X0)
| ~ ssList(X0) )
| ~ spl0_220
| ~ spl0_241 ),
inference(forward_demodulation,[],[f2983,f2665]) ).
fof(f2983,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk9,X0) = app(cons(sk9,nil),X0) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f3004,plain,
( spl0_245
| ~ spl0_220
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f2980,f2977,f2663,f3002]) ).
fof(f3002,plain,
( spl0_245
<=> ! [X0] :
( cons(sk8,X0) = app(cons(sk8,sk3),X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f2977,plain,
( spl0_240
<=> ! [X0] :
( ~ ssList(X0)
| cons(sk8,X0) = app(cons(sk8,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2980,plain,
( ! [X0] :
( cons(sk8,X0) = app(cons(sk8,sk3),X0)
| ~ ssList(X0) )
| ~ spl0_220
| ~ spl0_240 ),
inference(forward_demodulation,[],[f2978,f2665]) ).
fof(f2978,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk8,X0) = app(cons(sk8,nil),X0) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f2999,plain,
( spl0_244
| ~ spl0_6
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1279,f1209,f321,f2997]) ).
fof(f1209,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1279,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) )
| ~ spl0_6
| ~ spl0_137 ),
inference(resolution,[],[f1210,f323]) ).
fof(f1210,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f2994,plain,
( spl0_243
| ~ spl0_67
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1278,f1209,f582,f2992]) ).
fof(f1278,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk12,X0) = app(cons(sk12,nil),X0) )
| ~ spl0_67
| ~ spl0_137 ),
inference(resolution,[],[f1210,f584]) ).
fof(f2989,plain,
( spl0_242
| ~ spl0_9
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1277,f1209,f336,f2987]) ).
fof(f1277,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk11,X0) = app(cons(sk11,nil),X0) )
| ~ spl0_9
| ~ spl0_137 ),
inference(resolution,[],[f1210,f338]) ).
fof(f2984,plain,
( spl0_241
| ~ spl0_5
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1276,f1209,f316,f2982]) ).
fof(f1276,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk9,X0) = app(cons(sk9,nil),X0) )
| ~ spl0_5
| ~ spl0_137 ),
inference(resolution,[],[f1210,f318]) ).
fof(f2979,plain,
( spl0_240
| ~ spl0_4
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1275,f1209,f311,f2977]) ).
fof(f1275,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk8,X0) = app(cons(sk8,nil),X0) )
| ~ spl0_4
| ~ spl0_137 ),
inference(resolution,[],[f1210,f313]) ).
fof(f2975,plain,
( spl0_239
| ~ spl0_13
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2670,f2663,f356,f2972]) ).
fof(f2972,plain,
( spl0_239
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f356,plain,
( spl0_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2670,plain,
( totalorderedP(sk3)
| ~ spl0_13
| ~ spl0_220 ),
inference(superposition,[],[f358,f2665]) ).
fof(f358,plain,
( totalorderedP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f2930,plain,
( spl0_238
| spl0_231
| ~ spl0_8
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1195,f1113,f331,f2810,f2927]) ).
fof(f2927,plain,
( spl0_238
<=> sk7 = cons(skaf83(sk7),skaf82(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1113,plain,
( spl0_134
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1195,plain,
( nil = sk7
| sk7 = cons(skaf83(sk7),skaf82(sk7))
| ~ spl0_8
| ~ spl0_134 ),
inference(resolution,[],[f1114,f333]) ).
fof(f1114,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f2924,plain,
( spl0_237
| spl0_228
| ~ spl0_59
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1194,f1113,f549,f2785,f2921]) ).
fof(f2921,plain,
( spl0_237
<=> sk13 = cons(skaf83(sk13),skaf82(sk13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1194,plain,
( nil = sk13
| sk13 = cons(skaf83(sk13),skaf82(sk13))
| ~ spl0_59
| ~ spl0_134 ),
inference(resolution,[],[f1114,f551]) ).
fof(f2880,plain,
( spl0_236
| spl0_226
| ~ spl0_7
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1193,f1113,f326,f2736,f2877]) ).
fof(f2877,plain,
( spl0_236
<=> sk10 = cons(skaf83(sk10),skaf82(sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1193,plain,
( nil = sk10
| sk10 = cons(skaf83(sk10),skaf82(sk10))
| ~ spl0_7
| ~ spl0_134 ),
inference(resolution,[],[f1114,f328]) ).
fof(f2875,plain,
( ~ spl0_235
| ~ spl0_224
| spl0_234 ),
inference(avatar_split_clause,[],[f2870,f2866,f2723,f2872]) ).
fof(f2872,plain,
( spl0_235
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2866,plain,
( spl0_234
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2870,plain,
( sk3 != cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_224
| spl0_234 ),
inference(forward_demodulation,[],[f2867,f2725]) ).
fof(f2867,plain,
( sk4 != cons(skaf83(sk4),skaf82(sk4))
| spl0_234 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f2869,plain,
( spl0_234
| spl0_222
| ~ spl0_1
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1192,f1113,f297,f2711,f2866]) ).
fof(f1192,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_1
| ~ spl0_134 ),
inference(resolution,[],[f1114,f299]) ).
fof(f2824,plain,
( spl0_233
| ~ spl0_12
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2669,f2663,f351,f2821]) ).
fof(f2821,plain,
( spl0_233
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f351,plain,
( spl0_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2669,plain,
( strictorderedP(sk3)
| ~ spl0_12
| ~ spl0_220 ),
inference(superposition,[],[f353,f2665]) ).
fof(f353,plain,
( strictorderedP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f2819,plain,
( ~ spl0_232
| ~ spl0_220
| spl0_231 ),
inference(avatar_split_clause,[],[f2814,f2810,f2663,f2816]) ).
fof(f2816,plain,
( spl0_232
<=> sk3 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2814,plain,
( sk3 != sk7
| ~ spl0_220
| spl0_231 ),
inference(forward_demodulation,[],[f2811,f2665]) ).
fof(f2811,plain,
( nil != sk7
| spl0_231 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2813,plain,
( spl0_230
| spl0_231
| ~ spl0_8
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1159,f1104,f331,f2810,f2806]) ).
fof(f2806,plain,
( spl0_230
<=> sk7 = cons(hd(sk7),tl(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1104,plain,
( spl0_132
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1159,plain,
( nil = sk7
| sk7 = cons(hd(sk7),tl(sk7))
| ~ spl0_8
| ~ spl0_132 ),
inference(resolution,[],[f1105,f333]) ).
fof(f1105,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f2795,plain,
( spl0_229
| ~ spl0_220
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2789,f2785,f2663,f2792]) ).
fof(f2789,plain,
( sk3 = sk13
| ~ spl0_220
| ~ spl0_228 ),
inference(forward_demodulation,[],[f2787,f2665]) ).
fof(f2788,plain,
( spl0_227
| spl0_228
| ~ spl0_59
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1158,f1104,f549,f2785,f2781]) ).
fof(f2781,plain,
( spl0_227
<=> sk13 = cons(hd(sk13),tl(sk13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1158,plain,
( nil = sk13
| sk13 = cons(hd(sk13),tl(sk13))
| ~ spl0_59
| ~ spl0_132 ),
inference(resolution,[],[f1105,f551]) ).
fof(f2739,plain,
( spl0_225
| spl0_226
| ~ spl0_7
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1157,f1104,f326,f2736,f2732]) ).
fof(f2732,plain,
( spl0_225
<=> sk10 = cons(hd(sk10),tl(sk10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1157,plain,
( nil = sk10
| sk10 = cons(hd(sk10),tl(sk10))
| ~ spl0_7
| ~ spl0_132 ),
inference(resolution,[],[f1105,f328]) ).
fof(f2726,plain,
( spl0_224
| ~ spl0_220
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2715,f2711,f2663,f2723]) ).
fof(f2715,plain,
( sk3 = sk4
| ~ spl0_220
| ~ spl0_222 ),
inference(forward_demodulation,[],[f2713,f2665]) ).
fof(f2721,plain,
( spl0_223
| ~ spl0_10
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2667,f2663,f341,f2718]) ).
fof(f2718,plain,
( spl0_223
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2667,plain,
( equalelemsP(sk3)
| ~ spl0_10
| ~ spl0_220 ),
inference(superposition,[],[f343,f2665]) ).
fof(f2714,plain,
( spl0_221
| spl0_222
| ~ spl0_1
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1156,f1104,f297,f2711,f2707]) ).
fof(f2707,plain,
( spl0_221
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1156,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_1
| ~ spl0_132 ),
inference(resolution,[],[f1105,f299]) ).
fof(f2666,plain,
( spl0_219
| spl0_220
| ~ spl0_2
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1155,f1104,f302,f2663,f2659]) ).
fof(f2659,plain,
( spl0_219
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1155,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_2
| ~ spl0_132 ),
inference(resolution,[],[f1105,f304]) ).
fof(f2441,plain,
( spl0_218
| ~ spl0_17
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2293,f2254,f376,f2438]) ).
fof(f2438,plain,
( spl0_218
<=> nil = tl(cons(sk8,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2254,plain,
( spl0_208
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk8,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2293,plain,
( nil = tl(cons(sk8,nil))
| ~ spl0_17
| ~ spl0_208 ),
inference(resolution,[],[f2255,f378]) ).
fof(f2255,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk8,X0)) = X0 )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f2292,plain,
( spl0_217
| ~ spl0_6
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1086,f994,f321,f2290]) ).
fof(f2290,plain,
( spl0_217
<=> ! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f994,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1086,plain,
( ! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) )
| ~ spl0_6
| ~ spl0_120 ),
inference(resolution,[],[f995,f323]) ).
fof(f995,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f2288,plain,
( spl0_216
| ~ spl0_67
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1085,f994,f582,f2286]) ).
fof(f2286,plain,
( spl0_216
<=> ! [X0] :
( ~ ssList(X0)
| sk12 = hd(cons(sk12,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1085,plain,
( ! [X0] :
( ~ ssList(X0)
| sk12 = hd(cons(sk12,X0)) )
| ~ spl0_67
| ~ spl0_120 ),
inference(resolution,[],[f995,f584]) ).
fof(f2284,plain,
( spl0_215
| ~ spl0_9
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1084,f994,f336,f2282]) ).
fof(f2282,plain,
( spl0_215
<=> ! [X0] :
( ~ ssList(X0)
| sk11 = hd(cons(sk11,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1084,plain,
( ! [X0] :
( ~ ssList(X0)
| sk11 = hd(cons(sk11,X0)) )
| ~ spl0_9
| ~ spl0_120 ),
inference(resolution,[],[f995,f338]) ).
fof(f2280,plain,
( spl0_214
| ~ spl0_5
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1083,f994,f316,f2278]) ).
fof(f2278,plain,
( spl0_214
<=> ! [X0] :
( ~ ssList(X0)
| sk9 = hd(cons(sk9,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1083,plain,
( ! [X0] :
( ~ ssList(X0)
| sk9 = hd(cons(sk9,X0)) )
| ~ spl0_5
| ~ spl0_120 ),
inference(resolution,[],[f995,f318]) ).
fof(f2276,plain,
( spl0_213
| ~ spl0_4
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1082,f994,f311,f2274]) ).
fof(f2274,plain,
( spl0_213
<=> ! [X0] :
( ~ ssList(X0)
| sk8 = hd(cons(sk8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1082,plain,
( ! [X0] :
( ~ ssList(X0)
| sk8 = hd(cons(sk8,X0)) )
| ~ spl0_4
| ~ spl0_120 ),
inference(resolution,[],[f995,f313]) ).
fof(f2272,plain,
( spl0_212
| ~ spl0_6
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1063,f990,f321,f2270]) ).
fof(f2270,plain,
( spl0_212
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f990,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1063,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 )
| ~ spl0_6
| ~ spl0_119 ),
inference(resolution,[],[f991,f323]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f2268,plain,
( spl0_211
| ~ spl0_67
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1062,f990,f582,f2266]) ).
fof(f2266,plain,
( spl0_211
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk12,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1062,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk12,X0)) = X0 )
| ~ spl0_67
| ~ spl0_119 ),
inference(resolution,[],[f991,f584]) ).
fof(f2264,plain,
( spl0_210
| ~ spl0_9
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1061,f990,f336,f2262]) ).
fof(f2262,plain,
( spl0_210
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk11,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1061,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk11,X0)) = X0 )
| ~ spl0_9
| ~ spl0_119 ),
inference(resolution,[],[f991,f338]) ).
fof(f2260,plain,
( spl0_209
| ~ spl0_5
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1060,f990,f316,f2258]) ).
fof(f2258,plain,
( spl0_209
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk9,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1060,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk9,X0)) = X0 )
| ~ spl0_5
| ~ spl0_119 ),
inference(resolution,[],[f991,f318]) ).
fof(f2256,plain,
( spl0_208
| ~ spl0_4
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1059,f990,f311,f2254]) ).
fof(f1059,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk8,X0)) = X0 )
| ~ spl0_4
| ~ spl0_119 ),
inference(resolution,[],[f991,f313]) ).
fof(f2120,plain,
spl0_207,
inference(avatar_split_clause,[],[f289,f2118]) ).
fof(f2118,plain,
( spl0_207
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f2116,plain,
spl0_206,
inference(avatar_split_clause,[],[f288,f2114]) ).
fof(f2114,plain,
( spl0_206
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f2112,plain,
spl0_205,
inference(avatar_split_clause,[],[f287,f2110]) ).
fof(f2110,plain,
( spl0_205
<=> ! [X2,X4,X0,X3,X1] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f2104,plain,
spl0_204,
inference(avatar_split_clause,[],[f286,f2102]) ).
fof(f2102,plain,
( spl0_204
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f2100,plain,
spl0_203,
inference(avatar_split_clause,[],[f285,f2098]) ).
fof(f2098,plain,
( spl0_203
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f2076,plain,
spl0_202,
inference(avatar_split_clause,[],[f282,f2074]) ).
fof(f2074,plain,
( spl0_202
<=> ! [X0,X3,X2,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f2070,plain,
spl0_201,
inference(avatar_split_clause,[],[f284,f2068]) ).
fof(f2068,plain,
( spl0_201
<=> ! [X0,X3,X2,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X3)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X3)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f2064,plain,
spl0_200,
inference(avatar_split_clause,[],[f177,f2062]) ).
fof(f2062,plain,
( spl0_200
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f1862,plain,
spl0_199,
inference(avatar_split_clause,[],[f167,f1860]) ).
fof(f1860,plain,
( spl0_199
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f1858,plain,
spl0_198,
inference(avatar_split_clause,[],[f166,f1856]) ).
fof(f1856,plain,
( spl0_198
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f1854,plain,
spl0_197,
inference(avatar_split_clause,[],[f165,f1852]) ).
fof(f1852,plain,
( spl0_197
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f1850,plain,
spl0_196,
inference(avatar_split_clause,[],[f164,f1848]) ).
fof(f1848,plain,
( spl0_196
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f1846,plain,
spl0_195,
inference(avatar_split_clause,[],[f163,f1844]) ).
fof(f1844,plain,
( spl0_195
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f1824,plain,
spl0_194,
inference(avatar_split_clause,[],[f281,f1822]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f1820,plain,
spl0_193,
inference(avatar_split_clause,[],[f280,f1818]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f1762,plain,
spl0_192,
inference(avatar_split_clause,[],[f176,f1760]) ).
fof(f1760,plain,
( spl0_192
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f1758,plain,
spl0_191,
inference(avatar_split_clause,[],[f174,f1756]) ).
fof(f1756,plain,
( spl0_191
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f1754,plain,
spl0_190,
inference(avatar_split_clause,[],[f172,f1752]) ).
fof(f1752,plain,
( spl0_190
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f1750,plain,
spl0_189,
inference(avatar_split_clause,[],[f171,f1748]) ).
fof(f1748,plain,
( spl0_189
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f1746,plain,
( spl0_188
| ~ spl0_8
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f824,f756,f331,f1743]) ).
fof(f1743,plain,
( spl0_188
<=> sk7 = app(nil,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f756,plain,
( spl0_94
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f824,plain,
( sk7 = app(nil,sk7)
| ~ spl0_8
| ~ spl0_94 ),
inference(resolution,[],[f757,f333]) ).
fof(f757,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1741,plain,
spl0_187,
inference(avatar_split_clause,[],[f170,f1739]) ).
fof(f1739,plain,
( spl0_187
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f1737,plain,
spl0_186,
inference(avatar_split_clause,[],[f169,f1735]) ).
fof(f1735,plain,
( spl0_186
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f1733,plain,
spl0_185,
inference(avatar_split_clause,[],[f168,f1731]) ).
fof(f1731,plain,
( spl0_185
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f1621,plain,
( spl0_184
| ~ spl0_59
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f823,f756,f549,f1618]) ).
fof(f1618,plain,
( spl0_184
<=> sk13 = app(nil,sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f823,plain,
( sk13 = app(nil,sk13)
| ~ spl0_59
| ~ spl0_94 ),
inference(resolution,[],[f757,f551]) ).
fof(f1616,plain,
spl0_183,
inference(avatar_split_clause,[],[f161,f1614]) ).
fof(f1614,plain,
( spl0_183
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f1612,plain,
spl0_182,
inference(avatar_split_clause,[],[f160,f1610]) ).
fof(f1610,plain,
( spl0_182
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f1608,plain,
spl0_181,
inference(avatar_split_clause,[],[f159,f1606]) ).
fof(f1606,plain,
( spl0_181
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f1604,plain,
spl0_180,
inference(avatar_split_clause,[],[f158,f1602]) ).
fof(f1602,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f1600,plain,
spl0_179,
inference(avatar_split_clause,[],[f157,f1598]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f1596,plain,
spl0_178,
inference(avatar_split_clause,[],[f149,f1594]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f1592,plain,
spl0_177,
inference(avatar_split_clause,[],[f142,f1590]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f1569,plain,
( spl0_176
| ~ spl0_7
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f822,f756,f326,f1566]) ).
fof(f1566,plain,
( spl0_176
<=> sk10 = app(nil,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f822,plain,
( sk10 = app(nil,sk10)
| ~ spl0_7
| ~ spl0_94 ),
inference(resolution,[],[f757,f328]) ).
fof(f1528,plain,
spl0_175,
inference(avatar_split_clause,[],[f290,f1526]) ).
fof(f1526,plain,
( spl0_175
<=> ! [X0,X1,X3] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f290,plain,
! [X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
! [X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f1524,plain,
spl0_174,
inference(avatar_split_clause,[],[f151,f1522]) ).
fof(f1522,plain,
( spl0_174
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f1520,plain,
spl0_173,
inference(avatar_split_clause,[],[f150,f1518]) ).
fof(f1518,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f1516,plain,
spl0_172,
inference(avatar_split_clause,[],[f133,f1514]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f1488,plain,
( spl0_171
| ~ spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f821,f756,f297,f1485]) ).
fof(f1485,plain,
( spl0_171
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f821,plain,
( sk4 = app(nil,sk4)
| ~ spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f757,f299]) ).
fof(f1477,plain,
spl0_170,
inference(avatar_split_clause,[],[f156,f1475]) ).
fof(f1475,plain,
( spl0_170
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f1473,plain,
spl0_169,
inference(avatar_split_clause,[],[f155,f1471]) ).
fof(f1471,plain,
( spl0_169
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f1469,plain,
spl0_168,
inference(avatar_split_clause,[],[f154,f1467]) ).
fof(f1467,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f1465,plain,
spl0_167,
inference(avatar_split_clause,[],[f153,f1463]) ).
fof(f1463,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f1461,plain,
spl0_166,
inference(avatar_split_clause,[],[f152,f1459]) ).
fof(f1459,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f1457,plain,
( spl0_165
| ~ spl0_2
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f820,f756,f302,f1454]) ).
fof(f1454,plain,
( spl0_165
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f820,plain,
( sk3 = app(nil,sk3)
| ~ spl0_2
| ~ spl0_94 ),
inference(resolution,[],[f757,f304]) ).
fof(f1452,plain,
spl0_164,
inference(avatar_split_clause,[],[f148,f1450]) ).
fof(f1450,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f1448,plain,
spl0_163,
inference(avatar_split_clause,[],[f147,f1446]) ).
fof(f1446,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f1444,plain,
spl0_162,
inference(avatar_split_clause,[],[f146,f1442]) ).
fof(f1442,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f1440,plain,
spl0_161,
inference(avatar_split_clause,[],[f135,f1438]) ).
fof(f1438,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f1436,plain,
spl0_160,
inference(avatar_split_clause,[],[f134,f1434]) ).
fof(f1434,plain,
( spl0_160
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f1412,plain,
( spl0_159
| ~ spl0_8
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f791,f752,f331,f1409]) ).
fof(f1409,plain,
( spl0_159
<=> sk7 = app(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f752,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f791,plain,
( sk7 = app(sk7,nil)
| ~ spl0_8
| ~ spl0_93 ),
inference(resolution,[],[f753,f333]) ).
fof(f753,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f1357,plain,
spl0_158,
inference(avatar_split_clause,[],[f141,f1355]) ).
fof(f1355,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f1353,plain,
spl0_157,
inference(avatar_split_clause,[],[f140,f1351]) ).
fof(f1351,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f1349,plain,
spl0_156,
inference(avatar_split_clause,[],[f139,f1347]) ).
fof(f1347,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f1345,plain,
spl0_155,
inference(avatar_split_clause,[],[f137,f1343]) ).
fof(f1343,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f1341,plain,
spl0_154,
inference(avatar_split_clause,[],[f136,f1339]) ).
fof(f1339,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f1337,plain,
spl0_153,
inference(avatar_split_clause,[],[f132,f1335]) ).
fof(f1335,plain,
( spl0_153
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f1333,plain,
spl0_152,
inference(avatar_split_clause,[],[f131,f1331]) ).
fof(f1331,plain,
( spl0_152
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f1329,plain,
( spl0_151
| ~ spl0_59
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f790,f752,f549,f1326]) ).
fof(f1326,plain,
( spl0_151
<=> sk13 = app(sk13,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f790,plain,
( sk13 = app(sk13,nil)
| ~ spl0_59
| ~ spl0_93 ),
inference(resolution,[],[f753,f551]) ).
fof(f1324,plain,
spl0_150,
inference(avatar_split_clause,[],[f123,f1322]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f1288,plain,
( spl0_149
| ~ spl0_7
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f789,f752,f326,f1285]) ).
fof(f1285,plain,
( spl0_149
<=> sk10 = app(sk10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f789,plain,
( sk10 = app(sk10,nil)
| ~ spl0_7
| ~ spl0_93 ),
inference(resolution,[],[f753,f328]) ).
fof(f1256,plain,
spl0_148,
inference(avatar_split_clause,[],[f276,f1254]) ).
fof(f1254,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f276,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f1252,plain,
spl0_147,
inference(avatar_split_clause,[],[f275,f1250]) ).
fof(f275,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f1248,plain,
spl0_146,
inference(avatar_split_clause,[],[f130,f1246]) ).
fof(f1246,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f1244,plain,
spl0_145,
inference(avatar_split_clause,[],[f129,f1242]) ).
fof(f1242,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f1240,plain,
spl0_144,
inference(avatar_split_clause,[],[f128,f1238]) ).
fof(f1238,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f1236,plain,
spl0_143,
inference(avatar_split_clause,[],[f127,f1234]) ).
fof(f1234,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f1232,plain,
spl0_142,
inference(avatar_split_clause,[],[f126,f1230]) ).
fof(f1230,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f1228,plain,
spl0_141,
inference(avatar_split_clause,[],[f125,f1226]) ).
fof(f1226,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f1224,plain,
( spl0_140
| ~ spl0_1
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f788,f752,f297,f1221]) ).
fof(f1221,plain,
( spl0_140
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f788,plain,
( sk4 = app(sk4,nil)
| ~ spl0_1
| ~ spl0_93 ),
inference(resolution,[],[f753,f299]) ).
fof(f1219,plain,
spl0_139,
inference(avatar_split_clause,[],[f124,f1217]) ).
fof(f1217,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f1215,plain,
spl0_138,
inference(avatar_split_clause,[],[f121,f1213]) ).
fof(f1213,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f1211,plain,
spl0_137,
inference(avatar_split_clause,[],[f120,f1209]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f1123,plain,
spl0_136,
inference(avatar_split_clause,[],[f119,f1121]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f1119,plain,
spl0_135,
inference(avatar_split_clause,[],[f118,f1117]) ).
fof(f1117,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f1115,plain,
spl0_134,
inference(avatar_split_clause,[],[f109,f1113]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f1111,plain,
( spl0_133
| ~ spl0_2
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f787,f752,f302,f1108]) ).
fof(f1108,plain,
( spl0_133
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f787,plain,
( sk3 = app(sk3,nil)
| ~ spl0_2
| ~ spl0_93 ),
inference(resolution,[],[f753,f304]) ).
fof(f1106,plain,
spl0_132,
inference(avatar_split_clause,[],[f104,f1104]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f1040,plain,
spl0_131,
inference(avatar_split_clause,[],[f270,f1038]) ).
fof(f1038,plain,
( spl0_131
<=> ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f270,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f1036,plain,
spl0_130,
inference(avatar_split_clause,[],[f114,f1034]) ).
fof(f1034,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f1032,plain,
spl0_129,
inference(avatar_split_clause,[],[f110,f1030]) ).
fof(f1030,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f1028,plain,
spl0_128,
inference(avatar_split_clause,[],[f108,f1026]) ).
fof(f1026,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f1024,plain,
spl0_127,
inference(avatar_split_clause,[],[f107,f1022]) ).
fof(f1022,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f1020,plain,
spl0_126,
inference(avatar_split_clause,[],[f106,f1018]) ).
fof(f1018,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f1016,plain,
spl0_125,
inference(avatar_split_clause,[],[f105,f1014]) ).
fof(f1014,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f1012,plain,
spl0_124,
inference(avatar_split_clause,[],[f103,f1010]) ).
fof(f1010,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f1008,plain,
spl0_123,
inference(avatar_split_clause,[],[f102,f1006]) ).
fof(f1006,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f1004,plain,
spl0_122,
inference(avatar_split_clause,[],[f101,f1002]) ).
fof(f1002,plain,
( spl0_122
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f1000,plain,
spl0_121,
inference(avatar_split_clause,[],[f100,f998]) ).
fof(f998,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f996,plain,
spl0_120,
inference(avatar_split_clause,[],[f97,f994]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f992,plain,
spl0_119,
inference(avatar_split_clause,[],[f96,f990]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f988,plain,
spl0_118,
inference(avatar_split_clause,[],[f291,f986]) ).
fof(f986,plain,
( spl0_118
<=> ! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f291,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f984,plain,
spl0_117,
inference(avatar_split_clause,[],[f99,f982]) ).
fof(f982,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f980,plain,
spl0_116,
inference(avatar_split_clause,[],[f98,f978]) ).
fof(f978,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f976,plain,
spl0_115,
inference(avatar_split_clause,[],[f95,f974]) ).
fof(f974,plain,
( spl0_115
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f972,plain,
spl0_114,
inference(avatar_split_clause,[],[f94,f970]) ).
fof(f970,plain,
( spl0_114
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f968,plain,
spl0_113,
inference(avatar_split_clause,[],[f93,f966]) ).
fof(f966,plain,
( spl0_113
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f964,plain,
spl0_112,
inference(avatar_split_clause,[],[f92,f962]) ).
fof(f962,plain,
( spl0_112
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f960,plain,
spl0_111,
inference(avatar_split_clause,[],[f91,f958]) ).
fof(f958,plain,
( spl0_111
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f956,plain,
spl0_110,
inference(avatar_split_clause,[],[f90,f954]) ).
fof(f954,plain,
( spl0_110
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f952,plain,
spl0_109,
inference(avatar_split_clause,[],[f89,f950]) ).
fof(f950,plain,
( spl0_109
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f948,plain,
spl0_108,
inference(avatar_split_clause,[],[f88,f946]) ).
fof(f946,plain,
( spl0_108
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f944,plain,
spl0_107,
inference(avatar_split_clause,[],[f87,f942]) ).
fof(f942,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f916,plain,
spl0_106,
inference(avatar_split_clause,[],[f86,f914]) ).
fof(f914,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f912,plain,
spl0_105,
inference(avatar_split_clause,[],[f85,f910]) ).
fof(f910,plain,
( spl0_105
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f908,plain,
( spl0_104
| ~ spl0_8
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f745,f710,f331,f905]) ).
fof(f905,plain,
( spl0_104
<=> duplicatefreeP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f745,plain,
( duplicatefreeP(sk7)
| ~ spl0_8
| ~ spl0_91 ),
inference(resolution,[],[f711,f333]) ).
fof(f903,plain,
spl0_103,
inference(avatar_split_clause,[],[f84,f901]) ).
fof(f901,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f899,plain,
spl0_102,
inference(avatar_split_clause,[],[f82,f897]) ).
fof(f897,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f895,plain,
spl0_101,
inference(avatar_split_clause,[],[f80,f893]) ).
fof(f893,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f856,plain,
( spl0_3
| spl0_59 ),
inference(avatar_split_clause,[],[f212,f549,f307]) ).
fof(f212,axiom,
( ssList(sk13)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_27) ).
fof(f855,plain,
( spl0_100
| ~ spl0_59
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f744,f710,f549,f852]) ).
fof(f852,plain,
( spl0_100
<=> duplicatefreeP(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f744,plain,
( duplicatefreeP(sk13)
| ~ spl0_59
| ~ spl0_91 ),
inference(resolution,[],[f711,f551]) ).
fof(f850,plain,
( spl0_99
| ~ spl0_7
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f743,f710,f326,f847]) ).
fof(f847,plain,
( spl0_99
<=> duplicatefreeP(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f743,plain,
( duplicatefreeP(sk10)
| ~ spl0_7
| ~ spl0_91 ),
inference(resolution,[],[f711,f328]) ).
fof(f845,plain,
( spl0_3
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| spl0_3
| ~ spl0_90 ),
inference(resolution,[],[f708,f308]) ).
fof(f308,plain,
( ~ ssItem(sk5)
| spl0_3 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f708,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f707,plain,
( spl0_90
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f843,plain,
( spl0_98
| ~ spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f742,f710,f297,f840]) ).
fof(f840,plain,
( spl0_98
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f742,plain,
( duplicatefreeP(sk4)
| ~ spl0_1
| ~ spl0_91 ),
inference(resolution,[],[f711,f299]) ).
fof(f838,plain,
spl0_97,
inference(avatar_split_clause,[],[f78,f836]) ).
fof(f836,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f834,plain,
spl0_96,
inference(avatar_split_clause,[],[f75,f832]) ).
fof(f832,plain,
( spl0_96
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f828,plain,
( spl0_3
| spl0_95 ),
inference(avatar_split_clause,[],[f202,f826,f307]) ).
fof(f202,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk5)
| sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f758,plain,
spl0_94,
inference(avatar_split_clause,[],[f74,f756]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f754,plain,
spl0_93,
inference(avatar_split_clause,[],[f73,f752]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f750,plain,
( spl0_92
| ~ spl0_2
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f741,f710,f302,f747]) ).
fof(f747,plain,
( spl0_92
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f741,plain,
( duplicatefreeP(sk3)
| ~ spl0_2
| ~ spl0_91 ),
inference(resolution,[],[f711,f304]) ).
fof(f712,plain,
( spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f72,f710,f707]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f705,plain,
spl0_89,
inference(avatar_split_clause,[],[f70,f703]) ).
fof(f703,plain,
( spl0_89
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f701,plain,
spl0_88,
inference(avatar_split_clause,[],[f69,f699]) ).
fof(f699,plain,
( spl0_88
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f697,plain,
spl0_87,
inference(avatar_split_clause,[],[f68,f695]) ).
fof(f695,plain,
( spl0_87
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f693,plain,
spl0_86,
inference(avatar_split_clause,[],[f67,f691]) ).
fof(f691,plain,
( spl0_86
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f689,plain,
spl0_85,
inference(avatar_split_clause,[],[f66,f687]) ).
fof(f687,plain,
( spl0_85
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f685,plain,
spl0_84,
inference(avatar_split_clause,[],[f65,f683]) ).
fof(f683,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f681,plain,
spl0_83,
inference(avatar_split_clause,[],[f64,f679]) ).
fof(f679,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f677,plain,
( spl0_76
| spl0_3 ),
inference(avatar_split_clause,[],[f257,f307,f630]) ).
fof(f257,plain,
( ssItem(sk5)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
inference(definition_unfolding,[],[f209,f190]) ).
fof(f209,axiom,
( ssItem(sk5)
| sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_24) ).
fof(f676,plain,
( spl0_76
| spl0_8 ),
inference(avatar_split_clause,[],[f248,f331,f630]) ).
fof(f248,plain,
( ssList(sk7)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
inference(definition_unfolding,[],[f223,f190]) ).
fof(f223,axiom,
( ssList(sk7)
| sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_38) ).
fof(f673,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f219,f331,f311]) ).
fof(f219,axiom,
( ssList(sk7)
| ssItem(sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_34) ).
fof(f672,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f208,f326,f307]) ).
fof(f208,axiom,
( ssList(sk10)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_23) ).
fof(f668,plain,
( spl0_58
| spl0_76 ),
inference(avatar_split_clause,[],[f261,f630,f545]) ).
fof(f261,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f226,f190,f190]) ).
fof(f226,axiom,
( sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_41) ).
fof(f667,plain,
spl0_82,
inference(avatar_split_clause,[],[f295,f665]) ).
fof(f665,plain,
( spl0_82
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f295,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f663,plain,
spl0_81,
inference(avatar_split_clause,[],[f294,f661]) ).
fof(f661,plain,
( spl0_81
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f294,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f659,plain,
spl0_80,
inference(avatar_split_clause,[],[f71,f657]) ).
fof(f657,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f655,plain,
( spl0_58
| spl0_7 ),
inference(avatar_split_clause,[],[f244,f326,f545]) ).
fof(f244,plain,
( ssList(sk10)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f225,f190]) ).
fof(f225,axiom,
( ssList(sk10)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_40) ).
fof(f654,plain,
( spl0_58
| spl0_4 ),
inference(avatar_split_clause,[],[f250,f311,f545]) ).
fof(f250,plain,
( ssItem(sk8)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f220,f190]) ).
fof(f220,axiom,
( ssItem(sk8)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_35) ).
fof(f653,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f221,f331,f316]) ).
fof(f221,axiom,
( ssList(sk7)
| ssItem(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_36) ).
fof(f650,plain,
( spl0_58
| spl0_5 ),
inference(avatar_split_clause,[],[f249,f316,f545]) ).
fof(f249,plain,
( ssItem(sk9)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f224,f190]) ).
fof(f224,axiom,
( ssItem(sk9)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_39) ).
fof(f649,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f215,f311,f321]) ).
fof(f215,axiom,
( ssItem(sk8)
| ssItem(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_30) ).
fof(f648,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_4
| ~ spl0_66
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f635,f630,f578,f311,f326,f316]) ).
fof(f635,plain,
( ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ spl0_66
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f634,plain,
( sk4 != sk4
| ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ spl0_66
| ~ spl0_76 ),
inference(superposition,[],[f579,f632]) ).
fof(f579,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f647,plain,
spl0_79,
inference(avatar_split_clause,[],[f63,f645]) ).
fof(f645,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f643,plain,
spl0_78,
inference(avatar_split_clause,[],[f62,f641]) ).
fof(f641,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f639,plain,
spl0_77,
inference(avatar_split_clause,[],[f61,f637]) ).
fof(f637,plain,
( spl0_77
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f633,plain,
( spl0_76
| spl0_6 ),
inference(avatar_split_clause,[],[f258,f321,f630]) ).
fof(f258,plain,
( ssItem(sk6)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
inference(definition_unfolding,[],[f218,f190]) ).
fof(f218,axiom,
( ssItem(sk6)
| sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_33) ).
fof(f628,plain,
( spl0_75
| spl0_6 ),
inference(avatar_split_clause,[],[f256,f321,f625]) ).
fof(f256,plain,
( ssItem(sk6)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f230,f190]) ).
fof(f230,axiom,
( ssItem(sk6)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_45) ).
fof(f623,plain,
( ~ spl0_74
| spl0_6 ),
inference(avatar_split_clause,[],[f253,f321,f620]) ).
fof(f253,plain,
( ssItem(sk6)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(definition_unfolding,[],[f231,f191]) ).
fof(f231,axiom,
( ssItem(sk6)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_46) ).
fof(f615,plain,
( spl0_58
| spl0_67 ),
inference(avatar_split_clause,[],[f252,f582,f545]) ).
fof(f252,plain,
( ssItem(sk12)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f238,f190]) ).
fof(f238,axiom,
( ssItem(sk12)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_53) ).
fof(f614,plain,
( spl0_67
| spl0_8 ),
inference(avatar_split_clause,[],[f234,f331,f582]) ).
fof(f234,axiom,
( ssList(sk7)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_49) ).
fof(f613,plain,
( spl0_6
| spl0_67 ),
inference(avatar_split_clause,[],[f228,f582,f321]) ).
fof(f228,axiom,
( ssItem(sk12)
| ssItem(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_43) ).
fof(f612,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_3
| ~ spl0_58
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f587,f578,f545,f307,f331,f321]) ).
fof(f587,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ spl0_58
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f586]) ).
fof(f586,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ spl0_58
| ~ spl0_66 ),
inference(superposition,[],[f579,f547]) ).
fof(f611,plain,
spl0_73,
inference(avatar_split_clause,[],[f60,f609]) ).
fof(f609,plain,
( spl0_73
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f607,plain,
spl0_72,
inference(avatar_split_clause,[],[f59,f605]) ).
fof(f605,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f603,plain,
spl0_71,
inference(avatar_split_clause,[],[f58,f601]) ).
fof(f601,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f599,plain,
spl0_70,
inference(avatar_split_clause,[],[f57,f597]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f595,plain,
spl0_69,
inference(avatar_split_clause,[],[f56,f593]) ).
fof(f593,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f591,plain,
spl0_68,
inference(avatar_split_clause,[],[f55,f589]) ).
fof(f589,plain,
( spl0_68
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f585,plain,
( spl0_67
| spl0_66 ),
inference(avatar_split_clause,[],[f198,f578,f582]) ).
fof(f198,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssItem(sk12)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f580,plain,
( spl0_9
| spl0_66 ),
inference(avatar_split_clause,[],[f197,f578,f336]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssItem(sk11)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f576,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f574]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f572,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f570]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f568,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f566]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f564,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f562]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f560,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f558]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f556,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f554]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f552,plain,
( spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f245,f549,f545]) ).
fof(f245,plain,
( ssList(sk13)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f239,f190]) ).
fof(f239,axiom,
( ssList(sk13)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_54) ).
fof(f543,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f54,f540]) ).
fof(f540,plain,
( spl0_57
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f538,plain,
spl0_56,
inference(avatar_split_clause,[],[f47,f536]) ).
fof(f536,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f534,plain,
spl0_55,
inference(avatar_split_clause,[],[f46,f532]) ).
fof(f532,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f530,plain,
spl0_54,
inference(avatar_split_clause,[],[f45,f528]) ).
fof(f528,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f526,plain,
spl0_53,
inference(avatar_split_clause,[],[f44,f524]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f522,plain,
spl0_52,
inference(avatar_split_clause,[],[f43,f520]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f518,plain,
spl0_51,
inference(avatar_split_clause,[],[f42,f516]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f514,plain,
spl0_50,
inference(avatar_split_clause,[],[f41,f512]) ).
fof(f512,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f510,plain,
spl0_49,
inference(avatar_split_clause,[],[f40,f508]) ).
fof(f508,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f506,plain,
spl0_48,
inference(avatar_split_clause,[],[f39,f504]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f502,plain,
spl0_47,
inference(avatar_split_clause,[],[f38,f500]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f498,plain,
spl0_46,
inference(avatar_split_clause,[],[f37,f496]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f494,plain,
spl0_45,
inference(avatar_split_clause,[],[f36,f492]) ).
fof(f492,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f490,plain,
spl0_44,
inference(avatar_split_clause,[],[f35,f488]) ).
fof(f488,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f486,plain,
spl0_43,
inference(avatar_split_clause,[],[f34,f484]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f482,plain,
spl0_42,
inference(avatar_split_clause,[],[f33,f480]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f478,plain,
spl0_41,
inference(avatar_split_clause,[],[f32,f476]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f474,plain,
spl0_40,
inference(avatar_split_clause,[],[f31,f472]) ).
fof(f472,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f470,plain,
spl0_39,
inference(avatar_split_clause,[],[f30,f468]) ).
fof(f468,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f466,plain,
spl0_38,
inference(avatar_split_clause,[],[f29,f464]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f462,plain,
spl0_37,
inference(avatar_split_clause,[],[f28,f460]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f458,plain,
spl0_36,
inference(avatar_split_clause,[],[f27,f456]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f454,plain,
spl0_35,
inference(avatar_split_clause,[],[f26,f452]) ).
fof(f452,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f450,plain,
spl0_34,
inference(avatar_split_clause,[],[f25,f448]) ).
fof(f448,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f446,plain,
spl0_33,
inference(avatar_split_clause,[],[f24,f444]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f442,plain,
spl0_32,
inference(avatar_split_clause,[],[f23,f440]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f438,plain,
spl0_31,
inference(avatar_split_clause,[],[f22,f436]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f434,plain,
spl0_30,
inference(avatar_split_clause,[],[f21,f432]) ).
fof(f432,plain,
( spl0_30
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f430,plain,
spl0_29,
inference(avatar_split_clause,[],[f20,f428]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f426,plain,
spl0_28,
inference(avatar_split_clause,[],[f19,f424]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f422,plain,
spl0_27,
inference(avatar_split_clause,[],[f18,f420]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f418,plain,
spl0_26,
inference(avatar_split_clause,[],[f17,f416]) ).
fof(f416,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f414,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f412]) ).
fof(f412,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f410,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f408]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f406,plain,
spl0_23,
inference(avatar_split_clause,[],[f14,f404]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f402,plain,
spl0_22,
inference(avatar_split_clause,[],[f13,f400]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f398,plain,
spl0_21,
inference(avatar_split_clause,[],[f12,f396]) ).
fof(f396,plain,
( spl0_21
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f394,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f11,f391]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f389,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f386]) ).
fof(f386,plain,
( spl0_19
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f384,plain,
spl0_18,
inference(avatar_split_clause,[],[f9,f381]) ).
fof(f381,plain,
( spl0_18
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f379,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f376]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f374,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f371]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f369,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f366]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f364,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f361]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f359,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f356]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f354,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f351]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f349,plain,
spl0_11,
inference(avatar_split_clause,[],[f2,f346]) ).
fof(f346,plain,
( spl0_11
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f344,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f341]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f339,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f232,f331,f336]) ).
fof(f232,axiom,
( ssList(sk7)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_47) ).
fof(f334,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f222,f326,f331]) ).
fof(f222,axiom,
( ssList(sk10)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_37) ).
fof(f329,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f217,f326,f321]) ).
fof(f217,axiom,
( ssList(sk10)
| ssItem(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_32) ).
fof(f324,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f216,f316,f321]) ).
fof(f216,axiom,
( ssItem(sk9)
| ssItem(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_31) ).
fof(f319,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f207,f316,f307]) ).
fof(f207,axiom,
( ssItem(sk9)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f314,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f311,f307]) ).
fof(f206,axiom,
( ssItem(sk8)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f305,plain,
spl0_2,
inference(avatar_split_clause,[],[f242,f302]) ).
fof(f242,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f300,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f297]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC412-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun May 19 04:06:38 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % (29938)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (29941)WARNING: value z3 for option sas not known
% 0.14/0.35 % (29941)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (29939)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (29940)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (29943)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (29944)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (29942)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (29945)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.19/0.44 TRYING [1]
% 0.19/0.45 TRYING [2]
% 0.19/0.46 TRYING [4]
% 0.19/0.49 % (29943)First to succeed.
% 0.19/0.49 % (29943)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29938"
% 0.19/0.50 % (29943)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (29943)------------------------------
% 0.19/0.50 % (29943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.50 % (29943)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29943)Memory used [KB]: 3718
% 0.19/0.50 % (29943)Time elapsed: 0.138 s
% 0.19/0.50 % (29943)Instructions burned: 298 (million)
% 0.19/0.50 % (29938)Success in time 0.164 s
%------------------------------------------------------------------------------