TSTP Solution File: SWC153-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:55:44 EDT 2024
% Result : Unsatisfiable 1.78s 0.61s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 571
% Syntax : Number of formulae : 1261 ( 252 unt; 0 def)
% Number of atoms : 4010 ( 523 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 4962 (2213 ~;2368 |; 0 &)
% ( 381 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 402 ( 400 usr; 382 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 12 con; 0-2 aty)
% Number of variables : 942 ( 942 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7854,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f247,f252,f257,f262,f267,f272,f277,f286,f291,f296,f301,f306,f311,f316,f321,f326,f331,f336,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f485,f490,f495,f499,f503,f507,f511,f515,f519,f523,f527,f531,f535,f539,f543,f547,f551,f555,f559,f563,f567,f571,f575,f579,f583,f587,f591,f595,f602,f604,f608,f612,f682,f689,f693,f698,f702,f706,f710,f714,f738,f742,f746,f756,f760,f764,f768,f772,f776,f781,f785,f789,f793,f797,f801,f805,f810,f814,f818,f823,f827,f831,f835,f839,f843,f847,f851,f855,f859,f863,f868,f872,f889,f900,f904,f908,f912,f989,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1030,f1034,f1038,f1042,f1067,f1086,f1090,f1094,f1098,f1102,f1106,f1117,f1121,f1202,f1206,f1210,f1214,f1218,f1222,f1226,f1230,f1234,f1238,f1295,f1299,f1303,f1307,f1374,f1378,f1397,f1401,f1405,f1409,f1413,f1522,f1526,f1530,f1534,f1538,f1542,f1546,f1606,f1610,f1651,f1655,f1659,f1663,f1667,f1671,f1909,f1915,f1921,f1926,f1930,f1954,f1958,f1962,f1970,f1982,f2026,f2070,f2114,f2158,f2198,f2238,f2285,f2293,f2384,f2392,f2495,f2535,f2586,f2595,f2608,f2711,f2772,f2849,f2982,f3066,f3315,f3322,f3468,f3486,f3491,f3528,f3574,f3669,f3756,f3861,f3885,f4016,f4363,f4368,f4960,f4962,f5001,f5137,f5500,f5829,f5921,f5964,f5993,f6021,f6025,f6029,f6033,f6038,f6191,f6202,f6212,f6217,f6221,f6231,f6235,f6241,f6273,f6318,f6355,f6364,f6409,f6420,f6429,f6434,f6473,f6482,f6491,f6502,f6507,f6546,f6555,f6594,f6629,f6638,f6649,f6658,f6697,f6732,f6741,f6780,f6783,f6784,f6794,f6841,f6850,f6859,f6898,f6915,f6954,f6993,f7032,f7041,f7044,f7046,f7085,f7094,f7111,f7117,f7160,f7168,f7174,f7179,f7180,f7205,f7224,f7305,f7488,f7493,f7499,f7508,f7513,f7517,f7521,f7525,f7529,f7533,f7537,f7541,f7545,f7549,f7553,f7554,f7591,f7595,f7599,f7603,f7607,f7611,f7615,f7619,f7623,f7628,f7632,f7636,f7640,f7644,f7648,f7652,f7656,f7660,f7664,f7668,f7669,f7674,f7678,f7682,f7686,f7690,f7694,f7698,f7702,f7706,f7710,f7718,f7722,f7726,f7853]) ).
fof(f7853,plain,
( ~ spl0_10
| spl0_251
| ~ spl0_331
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f7494,f7491,f7221,f6205,f283]) ).
fof(f283,plain,
( spl0_10
<=> ssItem(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f6205,plain,
( spl0_251
<=> leq(sk5,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f7221,plain,
( spl0_331
<=> memberP(sk8,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f7491,plain,
( spl0_334
<=> ! [X0] :
( ~ ssItem(X0)
| leq(sk5,X0)
| ~ memberP(sk8,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f7494,plain,
( leq(sk5,sk10)
| ~ ssItem(sk10)
| ~ spl0_331
| ~ spl0_334 ),
inference(resolution,[],[f7492,f7223]) ).
fof(f7223,plain,
( memberP(sk8,sk10)
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f7221]) ).
fof(f7492,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| leq(sk5,X0)
| ~ ssItem(X0) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f7491]) ).
fof(f7726,plain,
( spl0_381
| ~ spl0_54
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f667,f610,f471,f7724]) ).
fof(f7724,plain,
( spl0_381
<=> ! [X0] : skaf51(X0) = app(nil,skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f471,plain,
( spl0_54
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f610,plain,
( spl0_88
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f667,plain,
( ! [X0] : skaf51(X0) = app(nil,skaf51(X0))
| ~ spl0_54
| ~ spl0_88 ),
inference(resolution,[],[f611,f472]) ).
fof(f472,plain,
( ! [X0] : ssList(skaf51(X0))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f611,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f7722,plain,
( spl0_380
| ~ spl0_53
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f666,f610,f467,f7720]) ).
fof(f7720,plain,
( spl0_380
<=> ! [X0] : skaf52(X0) = app(nil,skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f467,plain,
( spl0_53
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f666,plain,
( ! [X0] : skaf52(X0) = app(nil,skaf52(X0))
| ~ spl0_53
| ~ spl0_88 ),
inference(resolution,[],[f611,f468]) ).
fof(f468,plain,
( ! [X0] : ssList(skaf52(X0))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f7718,plain,
( spl0_379
| ~ spl0_52
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f665,f610,f463,f7716]) ).
fof(f7716,plain,
( spl0_379
<=> ! [X0] : skaf53(X0) = app(nil,skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f463,plain,
( spl0_52
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f665,plain,
( ! [X0] : skaf53(X0) = app(nil,skaf53(X0))
| ~ spl0_52
| ~ spl0_88 ),
inference(resolution,[],[f611,f464]) ).
fof(f464,plain,
( ! [X0] : ssList(skaf53(X0))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f7710,plain,
( spl0_378
| ~ spl0_49
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f664,f610,f451,f7708]) ).
fof(f7708,plain,
( spl0_378
<=> ! [X0] : skaf56(X0) = app(nil,skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f451,plain,
( spl0_49
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f664,plain,
( ! [X0] : skaf56(X0) = app(nil,skaf56(X0))
| ~ spl0_49
| ~ spl0_88 ),
inference(resolution,[],[f611,f452]) ).
fof(f452,plain,
( ! [X0] : ssList(skaf56(X0))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f7706,plain,
( spl0_377
| ~ spl0_48
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f663,f610,f447,f7704]) ).
fof(f7704,plain,
( spl0_377
<=> ! [X0] : skaf57(X0) = app(nil,skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f447,plain,
( spl0_48
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f663,plain,
( ! [X0] : skaf57(X0) = app(nil,skaf57(X0))
| ~ spl0_48
| ~ spl0_88 ),
inference(resolution,[],[f611,f448]) ).
fof(f448,plain,
( ! [X0] : ssList(skaf57(X0))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f7702,plain,
( spl0_376
| ~ spl0_47
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f662,f610,f443,f7700]) ).
fof(f7700,plain,
( spl0_376
<=> ! [X0] : skaf58(X0) = app(nil,skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f443,plain,
( spl0_47
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f662,plain,
( ! [X0] : skaf58(X0) = app(nil,skaf58(X0))
| ~ spl0_47
| ~ spl0_88 ),
inference(resolution,[],[f611,f444]) ).
fof(f444,plain,
( ! [X0] : ssList(skaf58(X0))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f7698,plain,
( spl0_375
| ~ spl0_44
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f661,f610,f431,f7696]) ).
fof(f7696,plain,
( spl0_375
<=> ! [X0] : skaf61(X0) = app(nil,skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f431,plain,
( spl0_44
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f661,plain,
( ! [X0] : skaf61(X0) = app(nil,skaf61(X0))
| ~ spl0_44
| ~ spl0_88 ),
inference(resolution,[],[f611,f432]) ).
fof(f432,plain,
( ! [X0] : ssList(skaf61(X0))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f7694,plain,
( spl0_374
| ~ spl0_43
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f660,f610,f427,f7692]) ).
fof(f7692,plain,
( spl0_374
<=> ! [X0] : skaf62(X0) = app(nil,skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f427,plain,
( spl0_43
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f660,plain,
( ! [X0] : skaf62(X0) = app(nil,skaf62(X0))
| ~ spl0_43
| ~ spl0_88 ),
inference(resolution,[],[f611,f428]) ).
fof(f428,plain,
( ! [X0] : ssList(skaf62(X0))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f7690,plain,
( spl0_373
| ~ spl0_42
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f659,f610,f423,f7688]) ).
fof(f7688,plain,
( spl0_373
<=> ! [X0] : skaf63(X0) = app(nil,skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f423,plain,
( spl0_42
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f659,plain,
( ! [X0] : skaf63(X0) = app(nil,skaf63(X0))
| ~ spl0_42
| ~ spl0_88 ),
inference(resolution,[],[f611,f424]) ).
fof(f424,plain,
( ! [X0] : ssList(skaf63(X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f7686,plain,
( spl0_372
| ~ spl0_39
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f658,f610,f411,f7684]) ).
fof(f7684,plain,
( spl0_372
<=> ! [X0] : skaf66(X0) = app(nil,skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f411,plain,
( spl0_39
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f658,plain,
( ! [X0] : skaf66(X0) = app(nil,skaf66(X0))
| ~ spl0_39
| ~ spl0_88 ),
inference(resolution,[],[f611,f412]) ).
fof(f412,plain,
( ! [X0] : ssList(skaf66(X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f7682,plain,
( spl0_371
| ~ spl0_38
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f657,f610,f407,f7680]) ).
fof(f7680,plain,
( spl0_371
<=> ! [X0] : skaf67(X0) = app(nil,skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f407,plain,
( spl0_38
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f657,plain,
( ! [X0] : skaf67(X0) = app(nil,skaf67(X0))
| ~ spl0_38
| ~ spl0_88 ),
inference(resolution,[],[f611,f408]) ).
fof(f408,plain,
( ! [X0] : ssList(skaf67(X0))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f7678,plain,
( spl0_370
| ~ spl0_37
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f656,f610,f403,f7676]) ).
fof(f7676,plain,
( spl0_370
<=> ! [X0] : skaf68(X0) = app(nil,skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f403,plain,
( spl0_37
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f656,plain,
( ! [X0] : skaf68(X0) = app(nil,skaf68(X0))
| ~ spl0_37
| ~ spl0_88 ),
inference(resolution,[],[f611,f404]) ).
fof(f404,plain,
( ! [X0] : ssList(skaf68(X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f7674,plain,
( spl0_369
| ~ spl0_34
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f655,f610,f391,f7672]) ).
fof(f7672,plain,
( spl0_369
<=> ! [X0] : skaf71(X0) = app(nil,skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f391,plain,
( spl0_34
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f655,plain,
( ! [X0] : skaf71(X0) = app(nil,skaf71(X0))
| ~ spl0_34
| ~ spl0_88 ),
inference(resolution,[],[f611,f392]) ).
fof(f392,plain,
( ! [X0] : ssList(skaf71(X0))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f7669,plain,
( ~ spl0_10
| spl0_293
| ~ spl0_331
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f7489,f7486,f7221,f6729,f283]) ).
fof(f6729,plain,
( spl0_293
<=> leq(sk10,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f7486,plain,
( spl0_333
<=> ! [X0] :
( leq(X0,sk5)
| ~ memberP(sk8,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f7489,plain,
( leq(sk10,sk5)
| ~ ssItem(sk10)
| ~ spl0_331
| ~ spl0_333 ),
inference(resolution,[],[f7487,f7223]) ).
fof(f7487,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| leq(X0,sk5)
| ~ ssItem(X0) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f7486]) ).
fof(f7668,plain,
( spl0_368
| ~ spl0_33
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f654,f610,f387,f7666]) ).
fof(f7666,plain,
( spl0_368
<=> ! [X0] : skaf72(X0) = app(nil,skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f387,plain,
( spl0_33
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f654,plain,
( ! [X0] : skaf72(X0) = app(nil,skaf72(X0))
| ~ spl0_33
| ~ spl0_88 ),
inference(resolution,[],[f611,f388]) ).
fof(f388,plain,
( ! [X0] : ssList(skaf72(X0))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f7664,plain,
( spl0_367
| ~ spl0_32
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f653,f610,f383,f7662]) ).
fof(f7662,plain,
( spl0_367
<=> ! [X0] : skaf73(X0) = app(nil,skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f383,plain,
( spl0_32
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f653,plain,
( ! [X0] : skaf73(X0) = app(nil,skaf73(X0))
| ~ spl0_32
| ~ spl0_88 ),
inference(resolution,[],[f611,f384]) ).
fof(f384,plain,
( ! [X0] : ssList(skaf73(X0))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f7660,plain,
( spl0_366
| ~ spl0_30
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f652,f610,f375,f7658]) ).
fof(f7658,plain,
( spl0_366
<=> ! [X0] : skaf75(X0) = app(nil,skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f375,plain,
( spl0_30
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f652,plain,
( ! [X0] : skaf75(X0) = app(nil,skaf75(X0))
| ~ spl0_30
| ~ spl0_88 ),
inference(resolution,[],[f611,f376]) ).
fof(f376,plain,
( ! [X0] : ssList(skaf75(X0))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f7656,plain,
( spl0_365
| ~ spl0_29
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f651,f610,f371,f7654]) ).
fof(f7654,plain,
( spl0_365
<=> ! [X0] : skaf76(X0) = app(nil,skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f371,plain,
( spl0_29
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f651,plain,
( ! [X0] : skaf76(X0) = app(nil,skaf76(X0))
| ~ spl0_29
| ~ spl0_88 ),
inference(resolution,[],[f611,f372]) ).
fof(f372,plain,
( ! [X0] : ssList(skaf76(X0))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f7652,plain,
( spl0_364
| ~ spl0_28
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f650,f610,f367,f7650]) ).
fof(f7650,plain,
( spl0_364
<=> ! [X0] : skaf77(X0) = app(nil,skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f367,plain,
( spl0_28
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f650,plain,
( ! [X0] : skaf77(X0) = app(nil,skaf77(X0))
| ~ spl0_28
| ~ spl0_88 ),
inference(resolution,[],[f611,f368]) ).
fof(f368,plain,
( ! [X0] : ssList(skaf77(X0))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f7648,plain,
( spl0_363
| ~ spl0_25
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f649,f610,f355,f7646]) ).
fof(f7646,plain,
( spl0_363
<=> ! [X0] : skaf80(X0) = app(nil,skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f355,plain,
( spl0_25
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f649,plain,
( ! [X0] : skaf80(X0) = app(nil,skaf80(X0))
| ~ spl0_25
| ~ spl0_88 ),
inference(resolution,[],[f611,f356]) ).
fof(f356,plain,
( ! [X0] : ssList(skaf80(X0))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f7644,plain,
( spl0_362
| ~ spl0_24
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f648,f610,f351,f7642]) ).
fof(f7642,plain,
( spl0_362
<=> ! [X0] : skaf81(X0) = app(nil,skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f351,plain,
( spl0_24
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f648,plain,
( ! [X0] : skaf81(X0) = app(nil,skaf81(X0))
| ~ spl0_24
| ~ spl0_88 ),
inference(resolution,[],[f611,f352]) ).
fof(f352,plain,
( ! [X0] : ssList(skaf81(X0))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f7640,plain,
( spl0_361
| ~ spl0_23
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f647,f610,f347,f7638]) ).
fof(f7638,plain,
( spl0_361
<=> ! [X0] : skaf82(X0) = app(nil,skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f347,plain,
( spl0_23
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f647,plain,
( ! [X0] : skaf82(X0) = app(nil,skaf82(X0))
| ~ spl0_23
| ~ spl0_88 ),
inference(resolution,[],[f611,f348]) ).
fof(f348,plain,
( ! [X0] : ssList(skaf82(X0))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f7636,plain,
( spl0_360
| ~ spl0_54
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f634,f606,f471,f7634]) ).
fof(f7634,plain,
( spl0_360
<=> ! [X0] : skaf51(X0) = app(skaf51(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f606,plain,
( spl0_87
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f634,plain,
( ! [X0] : skaf51(X0) = app(skaf51(X0),nil)
| ~ spl0_54
| ~ spl0_87 ),
inference(resolution,[],[f607,f472]) ).
fof(f607,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f7632,plain,
( spl0_359
| ~ spl0_53
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f633,f606,f467,f7630]) ).
fof(f7630,plain,
( spl0_359
<=> ! [X0] : skaf52(X0) = app(skaf52(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f633,plain,
( ! [X0] : skaf52(X0) = app(skaf52(X0),nil)
| ~ spl0_53
| ~ spl0_87 ),
inference(resolution,[],[f607,f468]) ).
fof(f7628,plain,
( spl0_358
| ~ spl0_18
| ~ spl0_116
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f5784,f3466,f820,f323,f7625]) ).
fof(f7625,plain,
( spl0_358
<=> hd(sk4) = hd(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f323,plain,
( spl0_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f820,plain,
( spl0_116
<=> sk9 = app(sk9,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f3466,plain,
( spl0_231
<=> ! [X0] :
( hd(sk4) = hd(app(sk9,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f5784,plain,
( hd(sk4) = hd(sk9)
| ~ spl0_18
| ~ spl0_116
| ~ spl0_231 ),
inference(forward_demodulation,[],[f5748,f822]) ).
fof(f822,plain,
( sk9 = app(sk9,nil)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f5748,plain,
( hd(sk4) = hd(app(sk9,nil))
| ~ spl0_18
| ~ spl0_231 ),
inference(resolution,[],[f3467,f325]) ).
fof(f325,plain,
( ssList(nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f3467,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk9,X0)) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f7623,plain,
( spl0_357
| ~ spl0_52
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f632,f606,f463,f7621]) ).
fof(f7621,plain,
( spl0_357
<=> ! [X0] : skaf53(X0) = app(skaf53(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f632,plain,
( ! [X0] : skaf53(X0) = app(skaf53(X0),nil)
| ~ spl0_52
| ~ spl0_87 ),
inference(resolution,[],[f607,f464]) ).
fof(f7619,plain,
( spl0_356
| ~ spl0_49
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f631,f606,f451,f7617]) ).
fof(f7617,plain,
( spl0_356
<=> ! [X0] : skaf56(X0) = app(skaf56(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f631,plain,
( ! [X0] : skaf56(X0) = app(skaf56(X0),nil)
| ~ spl0_49
| ~ spl0_87 ),
inference(resolution,[],[f607,f452]) ).
fof(f7615,plain,
( spl0_355
| ~ spl0_48
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f630,f606,f447,f7613]) ).
fof(f7613,plain,
( spl0_355
<=> ! [X0] : skaf57(X0) = app(skaf57(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f630,plain,
( ! [X0] : skaf57(X0) = app(skaf57(X0),nil)
| ~ spl0_48
| ~ spl0_87 ),
inference(resolution,[],[f607,f448]) ).
fof(f7611,plain,
( spl0_354
| ~ spl0_47
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f629,f606,f443,f7609]) ).
fof(f7609,plain,
( spl0_354
<=> ! [X0] : skaf58(X0) = app(skaf58(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f629,plain,
( ! [X0] : skaf58(X0) = app(skaf58(X0),nil)
| ~ spl0_47
| ~ spl0_87 ),
inference(resolution,[],[f607,f444]) ).
fof(f7607,plain,
( spl0_353
| ~ spl0_44
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f628,f606,f431,f7605]) ).
fof(f7605,plain,
( spl0_353
<=> ! [X0] : skaf61(X0) = app(skaf61(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f628,plain,
( ! [X0] : skaf61(X0) = app(skaf61(X0),nil)
| ~ spl0_44
| ~ spl0_87 ),
inference(resolution,[],[f607,f432]) ).
fof(f7603,plain,
( spl0_352
| ~ spl0_43
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f627,f606,f427,f7601]) ).
fof(f7601,plain,
( spl0_352
<=> ! [X0] : skaf62(X0) = app(skaf62(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f627,plain,
( ! [X0] : skaf62(X0) = app(skaf62(X0),nil)
| ~ spl0_43
| ~ spl0_87 ),
inference(resolution,[],[f607,f428]) ).
fof(f7599,plain,
( spl0_351
| ~ spl0_42
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f626,f606,f423,f7597]) ).
fof(f7597,plain,
( spl0_351
<=> ! [X0] : skaf63(X0) = app(skaf63(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f626,plain,
( ! [X0] : skaf63(X0) = app(skaf63(X0),nil)
| ~ spl0_42
| ~ spl0_87 ),
inference(resolution,[],[f607,f424]) ).
fof(f7595,plain,
( spl0_350
| ~ spl0_39
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f625,f606,f411,f7593]) ).
fof(f7593,plain,
( spl0_350
<=> ! [X0] : skaf66(X0) = app(skaf66(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f625,plain,
( ! [X0] : skaf66(X0) = app(skaf66(X0),nil)
| ~ spl0_39
| ~ spl0_87 ),
inference(resolution,[],[f607,f412]) ).
fof(f7591,plain,
( spl0_349
| ~ spl0_38
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f624,f606,f407,f7589]) ).
fof(f7589,plain,
( spl0_349
<=> ! [X0] : skaf67(X0) = app(skaf67(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f624,plain,
( ! [X0] : skaf67(X0) = app(skaf67(X0),nil)
| ~ spl0_38
| ~ spl0_87 ),
inference(resolution,[],[f607,f408]) ).
fof(f7554,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_96
| spl0_327 ),
inference(avatar_split_clause,[],[f7169,f7165,f712,f323,f244]) ).
fof(f244,plain,
( spl0_2
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f712,plain,
( spl0_96
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f7165,plain,
( spl0_327
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f7169,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_96
| spl0_327 ),
inference(resolution,[],[f7167,f713]) ).
fof(f713,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f7167,plain,
( ~ ssList(cons(sk5,nil))
| spl0_327 ),
inference(avatar_component_clause,[],[f7165]) ).
fof(f7553,plain,
( spl0_348
| ~ spl0_37
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f623,f606,f403,f7551]) ).
fof(f7551,plain,
( spl0_348
<=> ! [X0] : skaf68(X0) = app(skaf68(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f623,plain,
( ! [X0] : skaf68(X0) = app(skaf68(X0),nil)
| ~ spl0_37
| ~ spl0_87 ),
inference(resolution,[],[f607,f404]) ).
fof(f7549,plain,
( spl0_347
| ~ spl0_34
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f622,f606,f391,f7547]) ).
fof(f7547,plain,
( spl0_347
<=> ! [X0] : skaf71(X0) = app(skaf71(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f622,plain,
( ! [X0] : skaf71(X0) = app(skaf71(X0),nil)
| ~ spl0_34
| ~ spl0_87 ),
inference(resolution,[],[f607,f392]) ).
fof(f7545,plain,
( spl0_346
| ~ spl0_33
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f621,f606,f387,f7543]) ).
fof(f7543,plain,
( spl0_346
<=> ! [X0] : skaf72(X0) = app(skaf72(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f621,plain,
( ! [X0] : skaf72(X0) = app(skaf72(X0),nil)
| ~ spl0_33
| ~ spl0_87 ),
inference(resolution,[],[f607,f388]) ).
fof(f7541,plain,
( spl0_345
| ~ spl0_32
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f620,f606,f383,f7539]) ).
fof(f7539,plain,
( spl0_345
<=> ! [X0] : skaf73(X0) = app(skaf73(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f620,plain,
( ! [X0] : skaf73(X0) = app(skaf73(X0),nil)
| ~ spl0_32
| ~ spl0_87 ),
inference(resolution,[],[f607,f384]) ).
fof(f7537,plain,
( spl0_344
| ~ spl0_30
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f619,f606,f375,f7535]) ).
fof(f7535,plain,
( spl0_344
<=> ! [X0] : skaf75(X0) = app(skaf75(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f619,plain,
( ! [X0] : skaf75(X0) = app(skaf75(X0),nil)
| ~ spl0_30
| ~ spl0_87 ),
inference(resolution,[],[f607,f376]) ).
fof(f7533,plain,
( spl0_343
| ~ spl0_29
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f618,f606,f371,f7531]) ).
fof(f7531,plain,
( spl0_343
<=> ! [X0] : skaf76(X0) = app(skaf76(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f618,plain,
( ! [X0] : skaf76(X0) = app(skaf76(X0),nil)
| ~ spl0_29
| ~ spl0_87 ),
inference(resolution,[],[f607,f372]) ).
fof(f7529,plain,
( spl0_342
| ~ spl0_28
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f617,f606,f367,f7527]) ).
fof(f7527,plain,
( spl0_342
<=> ! [X0] : skaf77(X0) = app(skaf77(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f617,plain,
( ! [X0] : skaf77(X0) = app(skaf77(X0),nil)
| ~ spl0_28
| ~ spl0_87 ),
inference(resolution,[],[f607,f368]) ).
fof(f7525,plain,
( spl0_341
| ~ spl0_25
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f616,f606,f355,f7523]) ).
fof(f7523,plain,
( spl0_341
<=> ! [X0] : skaf80(X0) = app(skaf80(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f616,plain,
( ! [X0] : skaf80(X0) = app(skaf80(X0),nil)
| ~ spl0_25
| ~ spl0_87 ),
inference(resolution,[],[f607,f356]) ).
fof(f7521,plain,
( spl0_340
| ~ spl0_24
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f615,f606,f351,f7519]) ).
fof(f7519,plain,
( spl0_340
<=> ! [X0] : skaf81(X0) = app(skaf81(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f615,plain,
( ! [X0] : skaf81(X0) = app(skaf81(X0),nil)
| ~ spl0_24
| ~ spl0_87 ),
inference(resolution,[],[f607,f352]) ).
fof(f7517,plain,
( spl0_339
| ~ spl0_23
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f614,f606,f347,f7515]) ).
fof(f7515,plain,
( spl0_339
<=> ! [X0] : skaf82(X0) = app(skaf82(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f614,plain,
( ! [X0] : skaf82(X0) = app(skaf82(X0),nil)
| ~ spl0_23
| ~ spl0_87 ),
inference(resolution,[],[f607,f348]) ).
fof(f7513,plain,
( ~ spl0_336
| ~ spl0_6
| spl0_338
| ~ spl0_59
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1585,f1536,f492,f7511,f264,f7502]) ).
fof(f7502,plain,
( spl0_336
<=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f264,plain,
( spl0_6
<=> ssList(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f7511,plain,
( spl0_338
<=> ! [X0,X1] :
( segmentP(app(sk3,X0),X1)
| ~ ssList(X0)
| ~ segmentP(sk9,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f492,plain,
( spl0_59
<=> sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1536,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f1585,plain,
( ! [X0,X1] :
( segmentP(app(sk3,X0),X1)
| ~ ssList(sk9)
| ~ ssList(X1)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ segmentP(sk9,X1)
| ~ ssList(X0) )
| ~ spl0_59
| ~ spl0_181 ),
inference(superposition,[],[f1537,f494]) ).
fof(f494,plain,
( sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1537,plain,
( ! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f7508,plain,
( ~ spl0_336
| ~ spl0_6
| spl0_337
| ~ spl0_59
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1174,f1096,f492,f7506,f264,f7502]) ).
fof(f7506,plain,
( spl0_337
<=> ! [X0] :
( rearsegP(sk3,X0)
| ~ rearsegP(sk9,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f1096,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1174,plain,
( ! [X0] :
( rearsegP(sk3,X0)
| ~ ssList(sk9)
| ~ ssList(X0)
| ~ rearsegP(sk9,X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) )
| ~ spl0_59
| ~ spl0_151 ),
inference(superposition,[],[f1097,f494]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f7499,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_320
| ~ spl0_335
| ~ spl0_59
| ~ spl0_145
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f7217,f2583,f1036,f492,f7496,f7087,f269,f264]) ).
fof(f269,plain,
( spl0_7
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f7087,plain,
( spl0_320
<=> rearsegP(sk3,sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f7496,plain,
( spl0_335
<=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f1036,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f2583,plain,
( spl0_220
<=> sk5 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f7217,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,nil)))
| rearsegP(sk3,sk9)
| ~ ssList(sk3)
| ~ ssList(sk9)
| ~ spl0_59
| ~ spl0_145
| ~ spl0_220 ),
inference(forward_demodulation,[],[f1078,f2585]) ).
fof(f2585,plain,
( sk5 = sk6
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f1078,plain,
( rearsegP(sk3,sk9)
| ~ ssList(sk3)
| ~ ssList(sk9)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ spl0_59
| ~ spl0_145 ),
inference(superposition,[],[f1037,f494]) ).
fof(f1037,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f7493,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_4
| spl0_334
| ~ spl0_268
| ~ spl0_2
| ~ spl0_59
| ~ spl0_98
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f7212,f2583,f740,f492,f244,f6431,f7491,f254,f264,f259]) ).
fof(f259,plain,
( spl0_5
<=> ssList(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f254,plain,
( spl0_4
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f6431,plain,
( spl0_268
<=> leq(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f740,plain,
( spl0_98
<=> ! [X10,X9,X11,X6,X8,X7] :
( ~ ssItem(X7)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X6,X11)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f7212,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| leq(sk5,X0) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_220 ),
inference(duplicate_literal_removal,[],[f7211]) ).
fof(f7211,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| leq(sk5,X0) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_220 ),
inference(forward_demodulation,[],[f7210,f2585]) ).
fof(f7210,plain,
( ! [X0] :
( ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_220 ),
inference(forward_demodulation,[],[f749,f2585]) ).
fof(f749,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f748]) ).
fof(f748,plain,
( ! [X0] :
( sk3 != sk3
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98 ),
inference(superposition,[],[f741,f494]) ).
fof(f741,plain,
( ! [X10,X11,X8,X6,X9,X7] :
( sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X6,X11)
| ~ ssItem(X7) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f7488,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_4
| ~ spl0_268
| spl0_333
| ~ spl0_2
| ~ spl0_59
| ~ spl0_99
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f7209,f2583,f744,f492,f244,f7486,f6431,f254,f264,f259]) ).
fof(f744,plain,
( spl0_99
<=> ! [X10,X9,X11,X6,X8,X7] :
( ~ ssItem(X7)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X11,X7)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f7209,plain,
( ! [X0] :
( ~ ssItem(sk5)
| leq(X0,sk5)
| ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0) )
| ~ spl0_59
| ~ spl0_99
| ~ spl0_220 ),
inference(duplicate_literal_removal,[],[f7208]) ).
fof(f7208,plain,
( ! [X0] :
( ~ ssItem(sk5)
| leq(X0,sk5)
| ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0) )
| ~ spl0_59
| ~ spl0_99
| ~ spl0_220 ),
inference(forward_demodulation,[],[f7207,f2585]) ).
fof(f7207,plain,
( ! [X0] :
( leq(X0,sk5)
| ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_99
| ~ spl0_220 ),
inference(forward_demodulation,[],[f7206,f2585]) ).
fof(f7206,plain,
( ! [X0] :
( ~ leq(sk5,sk5)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| leq(X0,sk6)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_99
| ~ spl0_220 ),
inference(forward_demodulation,[],[f752,f2585]) ).
fof(f752,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f751]) ).
fof(f751,plain,
( ! [X0] :
( sk3 != sk3
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_99 ),
inference(superposition,[],[f745,f494]) ).
fof(f745,plain,
( ! [X10,X11,X8,X6,X9,X7] :
( sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X11,X7)
| ~ ssItem(X7) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f7305,plain,
( spl0_332
| ~ spl0_10
| ~ spl0_5
| ~ spl0_178
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f7225,f7221,f1524,f259,f283,f7302]) ).
fof(f7302,plain,
( spl0_332
<=> sk8 = app(skaf42(sk8,sk10),cons(sk10,skaf43(sk10,sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f1524,plain,
( spl0_178
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f7225,plain,
( ~ ssList(sk8)
| ~ ssItem(sk10)
| sk8 = app(skaf42(sk8,sk10),cons(sk10,skaf43(sk10,sk8)))
| ~ spl0_178
| ~ spl0_331 ),
inference(resolution,[],[f7223,f1525]) ).
fof(f1525,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f7224,plain,
( spl0_331
| ~ spl0_268
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f7213,f2583,f6431,f7221]) ).
fof(f7213,plain,
( ~ leq(sk5,sk5)
| memberP(sk8,sk10)
| ~ spl0_220 ),
inference(forward_demodulation,[],[f203,f2585]) ).
fof(f203,axiom,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f7205,plain,
( ~ spl0_6
| ~ spl0_4
| spl0_330
| ~ spl0_268
| ~ spl0_2
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f7186,f2583,f2389,f740,f492,f244,f6431,f7203,f254,f264]) ).
fof(f7203,plain,
( spl0_330
<=> ! [X0] :
( ~ memberP(sk7,X0)
| leq(sk5,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f2389,plain,
( spl0_216
<=> sk7 = sk8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f7186,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ leq(sk5,sk5)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(sk9)
| leq(sk5,X0) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216
| ~ spl0_220 ),
inference(duplicate_literal_removal,[],[f7185]) ).
fof(f7185,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ leq(sk5,sk5)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk9)
| leq(sk5,X0) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216
| ~ spl0_220 ),
inference(forward_demodulation,[],[f7184,f2585]) ).
fof(f7184,plain,
( ! [X0] :
( ~ leq(sk5,sk5)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk9)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216
| ~ spl0_220 ),
inference(forward_demodulation,[],[f7183,f2585]) ).
fof(f7183,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk9)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216 ),
inference(forward_demodulation,[],[f7182,f2391]) ).
fof(f2391,plain,
( sk7 = sk8
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2389]) ).
fof(f7182,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk9)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216 ),
inference(duplicate_literal_removal,[],[f7181]) ).
fof(f7181,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ memberP(sk8,X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssItem(sk6) )
| ~ spl0_59
| ~ spl0_98
| ~ spl0_216 ),
inference(forward_demodulation,[],[f749,f2391]) ).
fof(f7180,plain,
( ~ spl0_2
| ~ spl0_74
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f7096,f6626,f553,f244]) ).
fof(f553,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f6626,plain,
( spl0_284
<=> lt(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f7096,plain,
( ~ ssItem(sk5)
| ~ spl0_74
| ~ spl0_284 ),
inference(resolution,[],[f6628,f554]) ).
fof(f554,plain,
( ! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f6628,plain,
( lt(sk5,sk5)
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f6626]) ).
fof(f7179,plain,
( ~ spl0_329
| ~ spl0_216
| spl0_324 ),
inference(avatar_split_clause,[],[f7163,f7149,f2389,f7176]) ).
fof(f7176,plain,
( spl0_329
<=> ssList(app(app(sk7,cons(sk5,nil)),sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f7149,plain,
( spl0_324
<=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f7163,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk7))
| ~ spl0_216
| spl0_324 ),
inference(forward_demodulation,[],[f7151,f2391]) ).
fof(f7151,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| spl0_324 ),
inference(avatar_component_clause,[],[f7149]) ).
fof(f7174,plain,
( ~ spl0_328
| ~ spl0_220
| spl0_326 ),
inference(avatar_split_clause,[],[f7161,f7157,f2583,f7171]) ).
fof(f7171,plain,
( spl0_328
<=> segmentP(sk3,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f7157,plain,
( spl0_326
<=> segmentP(sk3,cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f7161,plain,
( ~ segmentP(sk3,cons(sk5,nil))
| ~ spl0_220
| spl0_326 ),
inference(forward_demodulation,[],[f7158,f2585]) ).
fof(f7158,plain,
( ~ segmentP(sk3,cons(sk6,nil))
| spl0_326 ),
inference(avatar_component_clause,[],[f7157]) ).
fof(f7168,plain,
( ~ spl0_327
| ~ spl0_220
| spl0_325 ),
inference(avatar_split_clause,[],[f7162,f7153,f2583,f7165]) ).
fof(f7153,plain,
( spl0_325
<=> ssList(cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f7162,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_220
| spl0_325 ),
inference(forward_demodulation,[],[f7155,f2585]) ).
fof(f7155,plain,
( ~ ssList(cons(sk6,nil))
| spl0_325 ),
inference(avatar_component_clause,[],[f7153]) ).
fof(f7160,plain,
( ~ spl0_6
| ~ spl0_324
| ~ spl0_325
| ~ spl0_7
| spl0_326
| ~ spl0_59
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1626,f1608,f492,f7157,f269,f7153,f7149,f264]) ).
fof(f1608,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f1626,plain,
( segmentP(sk3,cons(sk6,nil))
| ~ ssList(sk3)
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(sk9)
| ~ spl0_59
| ~ spl0_185 ),
inference(superposition,[],[f1609,f494]) ).
fof(f1609,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f7117,plain,
( spl0_323
| ~ spl0_18
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f613,f606,f323,f7114]) ).
fof(f7114,plain,
( spl0_323
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f613,plain,
( nil = app(nil,nil)
| ~ spl0_18
| ~ spl0_87 ),
inference(resolution,[],[f607,f325]) ).
fof(f7111,plain,
( ~ spl0_322
| ~ spl0_220
| spl0_321 ),
inference(avatar_split_clause,[],[f7095,f7091,f2583,f7108]) ).
fof(f7108,plain,
( spl0_322
<=> ssList(app(app(app(sk7,cons(sk5,nil)),sk7),cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f7091,plain,
( spl0_321
<=> ssList(app(app(app(sk7,cons(sk5,nil)),sk7),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f7095,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk7),cons(sk5,nil)))
| ~ spl0_220
| spl0_321 ),
inference(forward_demodulation,[],[f7093,f2585]) ).
fof(f7093,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk7),cons(sk6,nil)))
| spl0_321 ),
inference(avatar_component_clause,[],[f7091]) ).
fof(f7094,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_320
| ~ spl0_321
| ~ spl0_59
| ~ spl0_145
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f5849,f2389,f1036,f492,f7091,f7087,f269,f264]) ).
fof(f5849,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk7),cons(sk6,nil)))
| rearsegP(sk3,sk9)
| ~ ssList(sk3)
| ~ ssList(sk9)
| ~ spl0_59
| ~ spl0_145
| ~ spl0_216 ),
inference(forward_demodulation,[],[f1078,f2391]) ).
fof(f7085,plain,
( spl0_318
| spl0_319
| ~ spl0_6
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1905,f1669,f264,f7082,f7078]) ).
fof(f7078,plain,
( spl0_318
<=> sk9 = app(app(skaf51(sk9),cons(skaf49(sk9),skaf52(sk9))),cons(skaf50(sk9),skaf53(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f7082,plain,
( spl0_319
<=> cyclefreeP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f1669,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f1905,plain,
( cyclefreeP(sk9)
| sk9 = app(app(skaf51(sk9),cons(skaf49(sk9),skaf52(sk9))),cons(skaf50(sk9),skaf53(sk9)))
| ~ spl0_6
| ~ spl0_191 ),
inference(resolution,[],[f1670,f266]) ).
fof(f266,plain,
( ssList(sk9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f1670,plain,
( ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f7046,plain,
( spl0_314
| ~ spl0_216
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f7043,f7034,f2389,f7025]) ).
fof(f7025,plain,
( spl0_314
<=> sk7 = app(app(skaf51(sk7),cons(skaf49(sk7),skaf52(sk7))),cons(skaf50(sk7),skaf53(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f7034,plain,
( spl0_316
<=> sk8 = app(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8))),cons(skaf50(sk8),skaf53(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f7043,plain,
( sk7 = app(app(skaf51(sk7),cons(skaf49(sk7),skaf52(sk7))),cons(skaf50(sk7),skaf53(sk7)))
| ~ spl0_216
| ~ spl0_316 ),
inference(forward_demodulation,[],[f7036,f2391]) ).
fof(f7036,plain,
( sk8 = app(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8))),cons(skaf50(sk8),skaf53(sk8)))
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f7034]) ).
fof(f7044,plain,
( ~ spl0_315
| ~ spl0_216
| spl0_317 ),
inference(avatar_split_clause,[],[f7042,f7038,f2389,f7029]) ).
fof(f7029,plain,
( spl0_315
<=> cyclefreeP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f7038,plain,
( spl0_317
<=> cyclefreeP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f7042,plain,
( ~ cyclefreeP(sk7)
| ~ spl0_216
| spl0_317 ),
inference(forward_demodulation,[],[f7039,f2391]) ).
fof(f7039,plain,
( ~ cyclefreeP(sk8)
| spl0_317 ),
inference(avatar_component_clause,[],[f7038]) ).
fof(f7041,plain,
( spl0_316
| spl0_317
| ~ spl0_5
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1904,f1669,f259,f7038,f7034]) ).
fof(f1904,plain,
( cyclefreeP(sk8)
| sk8 = app(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8))),cons(skaf50(sk8),skaf53(sk8)))
| ~ spl0_5
| ~ spl0_191 ),
inference(resolution,[],[f1670,f261]) ).
fof(f261,plain,
( ssList(sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f7032,plain,
( spl0_314
| spl0_315
| ~ spl0_4
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1903,f1669,f254,f7029,f7025]) ).
fof(f1903,plain,
( cyclefreeP(sk7)
| sk7 = app(app(skaf51(sk7),cons(skaf49(sk7),skaf52(sk7))),cons(skaf50(sk7),skaf53(sk7)))
| ~ spl0_4
| ~ spl0_191 ),
inference(resolution,[],[f1670,f256]) ).
fof(f256,plain,
( ssList(sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f6993,plain,
( spl0_312
| spl0_313
| ~ spl0_1
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1902,f1669,f239,f6990,f6986]) ).
fof(f6986,plain,
( spl0_312
<=> sk4 = app(app(skaf51(sk4),cons(skaf49(sk4),skaf52(sk4))),cons(skaf50(sk4),skaf53(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f6990,plain,
( spl0_313
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f239,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1902,plain,
( cyclefreeP(sk4)
| sk4 = app(app(skaf51(sk4),cons(skaf49(sk4),skaf52(sk4))),cons(skaf50(sk4),skaf53(sk4)))
| ~ spl0_1
| ~ spl0_191 ),
inference(resolution,[],[f1670,f241]) ).
fof(f241,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f6954,plain,
( spl0_310
| spl0_311
| ~ spl0_7
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1901,f1669,f269,f6951,f6947]) ).
fof(f6947,plain,
( spl0_310
<=> sk3 = app(app(skaf51(sk3),cons(skaf49(sk3),skaf52(sk3))),cons(skaf50(sk3),skaf53(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f6951,plain,
( spl0_311
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f1901,plain,
( cyclefreeP(sk3)
| sk3 = app(app(skaf51(sk3),cons(skaf49(sk3),skaf52(sk3))),cons(skaf50(sk3),skaf53(sk3)))
| ~ spl0_7
| ~ spl0_191 ),
inference(resolution,[],[f1670,f271]) ).
fof(f271,plain,
( ssList(sk3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f6915,plain,
( spl0_308
| spl0_309
| ~ spl0_6
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1869,f1665,f264,f6912,f6908]) ).
fof(f6908,plain,
( spl0_308
<=> sk9 = app(app(skaf56(sk9),cons(skaf54(sk9),skaf57(sk9))),cons(skaf55(sk9),skaf58(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f6912,plain,
( spl0_309
<=> totalorderP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f1665,plain,
( spl0_190
<=> ! [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_190])]) ).
fof(f1869,plain,
( totalorderP(sk9)
| sk9 = app(app(skaf56(sk9),cons(skaf54(sk9),skaf57(sk9))),cons(skaf55(sk9),skaf58(sk9)))
| ~ spl0_6
| ~ spl0_190 ),
inference(resolution,[],[f1666,f266]) ).
fof(f1666,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f6898,plain,
( spl0_306
| spl0_307
| ~ spl0_5
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1868,f1665,f259,f6895,f6891]) ).
fof(f6891,plain,
( spl0_306
<=> sk8 = app(app(skaf56(sk8),cons(skaf54(sk8),skaf57(sk8))),cons(skaf55(sk8),skaf58(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f6895,plain,
( spl0_307
<=> totalorderP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1868,plain,
( totalorderP(sk8)
| sk8 = app(app(skaf56(sk8),cons(skaf54(sk8),skaf57(sk8))),cons(skaf55(sk8),skaf58(sk8)))
| ~ spl0_5
| ~ spl0_190 ),
inference(resolution,[],[f1666,f261]) ).
fof(f6859,plain,
( spl0_304
| spl0_305
| ~ spl0_4
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1867,f1665,f254,f6856,f6852]) ).
fof(f6852,plain,
( spl0_304
<=> sk7 = app(app(skaf56(sk7),cons(skaf54(sk7),skaf57(sk7))),cons(skaf55(sk7),skaf58(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f6856,plain,
( spl0_305
<=> totalorderP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1867,plain,
( totalorderP(sk7)
| sk7 = app(app(skaf56(sk7),cons(skaf54(sk7),skaf57(sk7))),cons(skaf55(sk7),skaf58(sk7)))
| ~ spl0_4
| ~ spl0_190 ),
inference(resolution,[],[f1666,f256]) ).
fof(f6850,plain,
( spl0_302
| spl0_303
| ~ spl0_1
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1866,f1665,f239,f6847,f6843]) ).
fof(f6843,plain,
( spl0_302
<=> sk4 = app(app(skaf56(sk4),cons(skaf54(sk4),skaf57(sk4))),cons(skaf55(sk4),skaf58(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f6847,plain,
( spl0_303
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1866,plain,
( totalorderP(sk4)
| sk4 = app(app(skaf56(sk4),cons(skaf54(sk4),skaf57(sk4))),cons(skaf55(sk4),skaf58(sk4)))
| ~ spl0_1
| ~ spl0_190 ),
inference(resolution,[],[f1666,f241]) ).
fof(f6841,plain,
( spl0_300
| spl0_301
| ~ spl0_7
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1865,f1665,f269,f6838,f6834]) ).
fof(f6834,plain,
( spl0_300
<=> sk3 = app(app(skaf56(sk3),cons(skaf54(sk3),skaf57(sk3))),cons(skaf55(sk3),skaf58(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f6838,plain,
( spl0_301
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1865,plain,
( totalorderP(sk3)
| sk3 = app(app(skaf56(sk3),cons(skaf54(sk3),skaf57(sk3))),cons(skaf55(sk3),skaf58(sk3)))
| ~ spl0_7
| ~ spl0_190 ),
inference(resolution,[],[f1666,f271]) ).
fof(f6794,plain,
( spl0_298
| spl0_299
| ~ spl0_6
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1815,f1661,f264,f6791,f6787]) ).
fof(f6787,plain,
( spl0_298
<=> sk9 = app(app(skaf61(sk9),cons(skaf59(sk9),skaf62(sk9))),cons(skaf60(sk9),skaf63(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f6791,plain,
( spl0_299
<=> strictorderP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1661,plain,
( spl0_189
<=> ! [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_189])]) ).
fof(f1815,plain,
( strictorderP(sk9)
| sk9 = app(app(skaf61(sk9),cons(skaf59(sk9),skaf62(sk9))),cons(skaf60(sk9),skaf63(sk9)))
| ~ spl0_6
| ~ spl0_189 ),
inference(resolution,[],[f1662,f266]) ).
fof(f1662,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f6784,plain,
( ~ spl0_294
| ~ spl0_216
| spl0_296 ),
inference(avatar_split_clause,[],[f6782,f6773,f2389,f6734]) ).
fof(f6734,plain,
( spl0_294
<=> sk7 = app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f6773,plain,
( spl0_296
<=> sk8 = app(app(skaf61(sk8),cons(skaf59(sk8),skaf62(sk8))),cons(skaf60(sk8),skaf63(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f6782,plain,
( sk7 != app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7)))
| ~ spl0_216
| spl0_296 ),
inference(forward_demodulation,[],[f6774,f2391]) ).
fof(f6774,plain,
( sk8 != app(app(skaf61(sk8),cons(skaf59(sk8),skaf62(sk8))),cons(skaf60(sk8),skaf63(sk8)))
| spl0_296 ),
inference(avatar_component_clause,[],[f6773]) ).
fof(f6783,plain,
( spl0_295
| ~ spl0_216
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f6781,f6777,f2389,f6738]) ).
fof(f6738,plain,
( spl0_295
<=> strictorderP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f6777,plain,
( spl0_297
<=> strictorderP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f6781,plain,
( strictorderP(sk7)
| ~ spl0_216
| ~ spl0_297 ),
inference(forward_demodulation,[],[f6779,f2391]) ).
fof(f6779,plain,
( strictorderP(sk8)
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f6777]) ).
fof(f6780,plain,
( spl0_296
| spl0_297
| ~ spl0_5
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1814,f1661,f259,f6777,f6773]) ).
fof(f1814,plain,
( strictorderP(sk8)
| sk8 = app(app(skaf61(sk8),cons(skaf59(sk8),skaf62(sk8))),cons(skaf60(sk8),skaf63(sk8)))
| ~ spl0_5
| ~ spl0_189 ),
inference(resolution,[],[f1662,f261]) ).
fof(f6741,plain,
( spl0_294
| spl0_295
| ~ spl0_4
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1813,f1661,f254,f6738,f6734]) ).
fof(f1813,plain,
( strictorderP(sk7)
| sk7 = app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7)))
| ~ spl0_4
| ~ spl0_189 ),
inference(resolution,[],[f1662,f256]) ).
fof(f6732,plain,
( ~ spl0_293
| ~ spl0_220
| spl0_252 ),
inference(avatar_split_clause,[],[f6228,f6209,f2583,f6729]) ).
fof(f6209,plain,
( spl0_252
<=> leq(sk10,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f6228,plain,
( ~ leq(sk10,sk5)
| ~ spl0_220
| spl0_252 ),
inference(superposition,[],[f6211,f2585]) ).
fof(f6211,plain,
( ~ leq(sk10,sk6)
| spl0_252 ),
inference(avatar_component_clause,[],[f6209]) ).
fof(f6697,plain,
( spl0_291
| spl0_292
| ~ spl0_1
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1812,f1661,f239,f6694,f6690]) ).
fof(f6690,plain,
( spl0_291
<=> sk4 = app(app(skaf61(sk4),cons(skaf59(sk4),skaf62(sk4))),cons(skaf60(sk4),skaf63(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f6694,plain,
( spl0_292
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1812,plain,
( strictorderP(sk4)
| sk4 = app(app(skaf61(sk4),cons(skaf59(sk4),skaf62(sk4))),cons(skaf60(sk4),skaf63(sk4)))
| ~ spl0_1
| ~ spl0_189 ),
inference(resolution,[],[f1662,f241]) ).
fof(f6658,plain,
( spl0_289
| spl0_290
| ~ spl0_7
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1811,f1661,f269,f6655,f6651]) ).
fof(f6651,plain,
( spl0_289
<=> sk3 = app(app(skaf61(sk3),cons(skaf59(sk3),skaf62(sk3))),cons(skaf60(sk3),skaf63(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f6655,plain,
( spl0_290
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f1811,plain,
( strictorderP(sk3)
| sk3 = app(app(skaf61(sk3),cons(skaf59(sk3),skaf62(sk3))),cons(skaf60(sk3),skaf63(sk3)))
| ~ spl0_7
| ~ spl0_189 ),
inference(resolution,[],[f1662,f271]) ).
fof(f6649,plain,
( spl0_287
| spl0_288
| ~ spl0_6
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1779,f1657,f264,f6646,f6642]) ).
fof(f6642,plain,
( spl0_287
<=> sk9 = app(app(skaf66(sk9),cons(skaf64(sk9),skaf67(sk9))),cons(skaf65(sk9),skaf68(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f6646,plain,
( spl0_288
<=> totalorderedP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1657,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f1779,plain,
( totalorderedP(sk9)
| sk9 = app(app(skaf66(sk9),cons(skaf64(sk9),skaf67(sk9))),cons(skaf65(sk9),skaf68(sk9)))
| ~ spl0_6
| ~ spl0_188 ),
inference(resolution,[],[f1658,f266]) ).
fof(f1658,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f6638,plain,
( spl0_285
| spl0_286
| ~ spl0_5
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1778,f1657,f259,f6635,f6631]) ).
fof(f6631,plain,
( spl0_285
<=> sk8 = app(app(skaf66(sk8),cons(skaf64(sk8),skaf67(sk8))),cons(skaf65(sk8),skaf68(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f6635,plain,
( spl0_286
<=> totalorderedP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1778,plain,
( totalorderedP(sk8)
| sk8 = app(app(skaf66(sk8),cons(skaf64(sk8),skaf67(sk8))),cons(skaf65(sk8),skaf68(sk8)))
| ~ spl0_5
| ~ spl0_188 ),
inference(resolution,[],[f1658,f261]) ).
fof(f6629,plain,
( spl0_284
| ~ spl0_219
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f6226,f2583,f2579,f6626]) ).
fof(f2579,plain,
( spl0_219
<=> lt(sk6,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f6226,plain,
( lt(sk5,sk5)
| ~ spl0_219
| ~ spl0_220 ),
inference(superposition,[],[f2581,f2585]) ).
fof(f2581,plain,
( lt(sk6,sk5)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f2579]) ).
fof(f6594,plain,
( spl0_282
| spl0_283
| ~ spl0_4
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1777,f1657,f254,f6591,f6587]) ).
fof(f6587,plain,
( spl0_282
<=> sk7 = app(app(skaf66(sk7),cons(skaf64(sk7),skaf67(sk7))),cons(skaf65(sk7),skaf68(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f6591,plain,
( spl0_283
<=> totalorderedP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1777,plain,
( totalorderedP(sk7)
| sk7 = app(app(skaf66(sk7),cons(skaf64(sk7),skaf67(sk7))),cons(skaf65(sk7),skaf68(sk7)))
| ~ spl0_4
| ~ spl0_188 ),
inference(resolution,[],[f1658,f256]) ).
fof(f6555,plain,
( spl0_280
| spl0_281
| ~ spl0_1
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1776,f1657,f239,f6552,f6548]) ).
fof(f6548,plain,
( spl0_280
<=> sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f6552,plain,
( spl0_281
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1776,plain,
( totalorderedP(sk4)
| sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
| ~ spl0_1
| ~ spl0_188 ),
inference(resolution,[],[f1658,f241]) ).
fof(f6546,plain,
( spl0_278
| spl0_279
| ~ spl0_7
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1775,f1657,f269,f6543,f6539]) ).
fof(f6539,plain,
( spl0_278
<=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f6543,plain,
( spl0_279
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1775,plain,
( totalorderedP(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
| ~ spl0_7
| ~ spl0_188 ),
inference(resolution,[],[f1658,f271]) ).
fof(f6507,plain,
( spl0_277
| ~ spl0_200
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f6225,f2583,f1967,f6504]) ).
fof(f6504,plain,
( spl0_277
<=> geq(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1967,plain,
( spl0_200
<=> geq(sk5,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f6225,plain,
( geq(sk5,sk5)
| ~ spl0_200
| ~ spl0_220 ),
inference(superposition,[],[f1969,f2585]) ).
fof(f1969,plain,
( geq(sk5,sk6)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f6502,plain,
( spl0_275
| spl0_276
| ~ spl0_6
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1743,f1653,f264,f6499,f6495]) ).
fof(f6495,plain,
( spl0_275
<=> sk9 = app(app(skaf71(sk9),cons(skaf69(sk9),skaf72(sk9))),cons(skaf70(sk9),skaf73(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f6499,plain,
( spl0_276
<=> strictorderedP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1653,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f1743,plain,
( strictorderedP(sk9)
| sk9 = app(app(skaf71(sk9),cons(skaf69(sk9),skaf72(sk9))),cons(skaf70(sk9),skaf73(sk9)))
| ~ spl0_6
| ~ spl0_187 ),
inference(resolution,[],[f1654,f266]) ).
fof(f1654,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f6491,plain,
( spl0_273
| spl0_274
| ~ spl0_5
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1742,f1653,f259,f6488,f6484]) ).
fof(f6484,plain,
( spl0_273
<=> sk8 = app(app(skaf71(sk8),cons(skaf69(sk8),skaf72(sk8))),cons(skaf70(sk8),skaf73(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f6488,plain,
( spl0_274
<=> strictorderedP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1742,plain,
( strictorderedP(sk8)
| sk8 = app(app(skaf71(sk8),cons(skaf69(sk8),skaf72(sk8))),cons(skaf70(sk8),skaf73(sk8)))
| ~ spl0_5
| ~ spl0_187 ),
inference(resolution,[],[f1654,f261]) ).
fof(f6482,plain,
( spl0_271
| spl0_272
| ~ spl0_4
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1741,f1653,f254,f6479,f6475]) ).
fof(f6475,plain,
( spl0_271
<=> sk7 = app(app(skaf71(sk7),cons(skaf69(sk7),skaf72(sk7))),cons(skaf70(sk7),skaf73(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f6479,plain,
( spl0_272
<=> strictorderedP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1741,plain,
( strictorderedP(sk7)
| sk7 = app(app(skaf71(sk7),cons(skaf69(sk7),skaf72(sk7))),cons(skaf70(sk7),skaf73(sk7)))
| ~ spl0_4
| ~ spl0_187 ),
inference(resolution,[],[f1654,f256]) ).
fof(f6473,plain,
( spl0_269
| spl0_270
| ~ spl0_1
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1740,f1653,f239,f6470,f6466]) ).
fof(f6466,plain,
( spl0_269
<=> sk4 = app(app(skaf71(sk4),cons(skaf69(sk4),skaf72(sk4))),cons(skaf70(sk4),skaf73(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f6470,plain,
( spl0_270
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1740,plain,
( strictorderedP(sk4)
| sk4 = app(app(skaf71(sk4),cons(skaf69(sk4),skaf72(sk4))),cons(skaf70(sk4),skaf73(sk4)))
| ~ spl0_1
| ~ spl0_187 ),
inference(resolution,[],[f1654,f241]) ).
fof(f6434,plain,
( spl0_268
| ~ spl0_8
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f6222,f2583,f274,f6431]) ).
fof(f274,plain,
( spl0_8
<=> leq(sk6,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f6222,plain,
( leq(sk5,sk5)
| ~ spl0_8
| ~ spl0_220 ),
inference(superposition,[],[f276,f2585]) ).
fof(f276,plain,
( leq(sk6,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f6429,plain,
( spl0_266
| spl0_267
| ~ spl0_7
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1739,f1653,f269,f6426,f6422]) ).
fof(f6422,plain,
( spl0_266
<=> sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f6426,plain,
( spl0_267
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1739,plain,
( strictorderedP(sk3)
| sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3)))
| ~ spl0_7
| ~ spl0_187 ),
inference(resolution,[],[f1654,f271]) ).
fof(f6420,plain,
( spl0_264
| spl0_265
| ~ spl0_6
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1707,f1649,f264,f6417,f6413]) ).
fof(f6413,plain,
( spl0_264
<=> sk9 = app(app(skaf75(sk9),cons(skaf74(sk9),skaf76(sk9))),cons(skaf74(sk9),skaf77(sk9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f6417,plain,
( spl0_265
<=> duplicatefreeP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1649,plain,
( spl0_186
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1707,plain,
( duplicatefreeP(sk9)
| sk9 = app(app(skaf75(sk9),cons(skaf74(sk9),skaf76(sk9))),cons(skaf74(sk9),skaf77(sk9)))
| ~ spl0_6
| ~ spl0_186 ),
inference(resolution,[],[f1650,f266]) ).
fof(f1650,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f6409,plain,
( spl0_262
| spl0_263
| ~ spl0_5
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1706,f1649,f259,f6406,f6402]) ).
fof(f6402,plain,
( spl0_262
<=> sk8 = app(app(skaf75(sk8),cons(skaf74(sk8),skaf76(sk8))),cons(skaf74(sk8),skaf77(sk8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f6406,plain,
( spl0_263
<=> duplicatefreeP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1706,plain,
( duplicatefreeP(sk8)
| sk8 = app(app(skaf75(sk8),cons(skaf74(sk8),skaf76(sk8))),cons(skaf74(sk8),skaf77(sk8)))
| ~ spl0_5
| ~ spl0_186 ),
inference(resolution,[],[f1650,f261]) ).
fof(f6364,plain,
( spl0_260
| spl0_261
| ~ spl0_4
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1705,f1649,f254,f6361,f6357]) ).
fof(f6357,plain,
( spl0_260
<=> sk7 = app(app(skaf75(sk7),cons(skaf74(sk7),skaf76(sk7))),cons(skaf74(sk7),skaf77(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f6361,plain,
( spl0_261
<=> duplicatefreeP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1705,plain,
( duplicatefreeP(sk7)
| sk7 = app(app(skaf75(sk7),cons(skaf74(sk7),skaf76(sk7))),cons(skaf74(sk7),skaf77(sk7)))
| ~ spl0_4
| ~ spl0_186 ),
inference(resolution,[],[f1650,f256]) ).
fof(f6355,plain,
( ~ spl0_230
| ~ spl0_216
| spl0_233 ),
inference(avatar_split_clause,[],[f4350,f3488,f2389,f3462]) ).
fof(f3462,plain,
( spl0_230
<=> sk7 = sk9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f3488,plain,
( spl0_233
<=> sk8 = sk9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f4350,plain,
( sk7 != sk9
| ~ spl0_216
| spl0_233 ),
inference(superposition,[],[f3489,f2391]) ).
fof(f3489,plain,
( sk8 != sk9
| spl0_233 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f6318,plain,
( spl0_258
| spl0_259
| ~ spl0_1
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1704,f1649,f239,f6315,f6311]) ).
fof(f6311,plain,
( spl0_258
<=> sk4 = app(app(skaf75(sk4),cons(skaf74(sk4),skaf76(sk4))),cons(skaf74(sk4),skaf77(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f6315,plain,
( spl0_259
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1704,plain,
( duplicatefreeP(sk4)
| sk4 = app(app(skaf75(sk4),cons(skaf74(sk4),skaf76(sk4))),cons(skaf74(sk4),skaf77(sk4)))
| ~ spl0_1
| ~ spl0_186 ),
inference(resolution,[],[f1650,f241]) ).
fof(f6273,plain,
( spl0_256
| spl0_257
| ~ spl0_7
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1703,f1649,f269,f6270,f6266]) ).
fof(f6266,plain,
( spl0_256
<=> sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f6270,plain,
( spl0_257
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1703,plain,
( duplicatefreeP(sk3)
| sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3)))
| ~ spl0_7
| ~ spl0_186 ),
inference(resolution,[],[f1650,f271]) ).
fof(f6241,plain,
( spl0_255
| ~ spl0_10
| ~ spl0_4
| ~ spl0_178
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f6203,f6199,f1524,f254,f283,f6238]) ).
fof(f6238,plain,
( spl0_255
<=> sk7 = app(skaf42(sk7,sk10),cons(sk10,skaf43(sk10,sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f6199,plain,
( spl0_250
<=> memberP(sk7,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f6203,plain,
( ~ ssList(sk7)
| ~ ssItem(sk10)
| sk7 = app(skaf42(sk7,sk10),cons(sk10,skaf43(sk10,sk7)))
| ~ spl0_178
| ~ spl0_250 ),
inference(resolution,[],[f6201,f1525]) ).
fof(f6201,plain,
( memberP(sk7,sk10)
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f6199]) ).
fof(f6235,plain,
( ~ spl0_3
| ~ spl0_2
| spl0_254
| ~ spl0_9
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f6194,f1236,f279,f6233,f244,f249]) ).
fof(f249,plain,
( spl0_3
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f6233,plain,
( spl0_254
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ leq(X0,sk5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f279,plain,
( spl0_9
<=> leq(sk5,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1236,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f6194,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ leq(X0,sk5)
| leq(X0,sk6) )
| ~ spl0_9
| ~ spl0_165 ),
inference(resolution,[],[f280,f1237]) ).
fof(f1237,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f280,plain,
( leq(sk5,sk6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f6231,plain,
( ~ spl0_214
| ~ spl0_216
| spl0_226 ),
inference(avatar_split_clause,[],[f4349,f2979,f2389,f2290]) ).
fof(f2290,plain,
( spl0_214
<=> sk4 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2979,plain,
( spl0_226
<=> sk4 = sk8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f4349,plain,
( sk4 != sk7
| ~ spl0_216
| spl0_226 ),
inference(superposition,[],[f2980,f2391]) ).
fof(f2980,plain,
( sk4 != sk8
| spl0_226 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f6221,plain,
( spl0_220
| ~ spl0_9
| ~ spl0_3
| ~ spl0_2
| ~ spl0_8
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1075,f1032,f274,f244,f249,f279,f2583]) ).
fof(f1032,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1075,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ leq(sk5,sk6)
| sk5 = sk6
| ~ spl0_8
| ~ spl0_144 ),
inference(resolution,[],[f1033,f276]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f6217,plain,
( spl0_253
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f6197,f853,f279,f249,f244,f6214]) ).
fof(f6214,plain,
( spl0_253
<=> geq(sk6,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f853,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f6197,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| geq(sk6,sk5)
| ~ spl0_9
| ~ spl0_124 ),
inference(resolution,[],[f280,f854]) ).
fof(f854,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f6212,plain,
( ~ spl0_9
| ~ spl0_251
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f204,f6209,f6205,f279]) ).
fof(f204,axiom,
( ~ leq(sk10,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f6202,plain,
( ~ spl0_9
| spl0_250
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f6192,f2389,f6199,f279]) ).
fof(f6192,plain,
( memberP(sk7,sk10)
| ~ leq(sk5,sk6)
| ~ spl0_216 ),
inference(forward_demodulation,[],[f203,f2391]) ).
fof(f6191,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_4
| ~ spl0_3
| ~ spl0_59
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f685,f680,f492,f249,f254,f264,f259,f274,f279,f244]) ).
fof(f680,plain,
( spl0_89
<=> ! [X10,X9,X7,X6,X8] :
( ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ leq(X7,X6)
| leq(X6,X7)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f685,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssItem(sk5)
| ~ spl0_59
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f684]) ).
fof(f684,plain,
( sk3 != sk3
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssItem(sk5)
| ~ spl0_59
| ~ spl0_89 ),
inference(superposition,[],[f681,f494]) ).
fof(f681,plain,
( ! [X10,X8,X6,X9,X7] :
( sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ leq(X7,X6)
| leq(X6,X7)
| ~ ssItem(X6) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f6038,plain,
( spl0_249
| ~ spl0_6
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1485,f1376,f264,f6036]) ).
fof(f6036,plain,
( spl0_249
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk9,X1),X0) = app(sk9,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1376,plain,
( spl0_171
<=> ! [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_171])]) ).
fof(f1485,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk9,X1),X0) = app(sk9,app(X1,X0)) )
| ~ spl0_6
| ~ spl0_171 ),
inference(resolution,[],[f1377,f266]) ).
fof(f1377,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f6033,plain,
( spl0_248
| ~ spl0_5
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1484,f1376,f259,f6031]) ).
fof(f6031,plain,
( spl0_248
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk8,X1),X0) = app(sk8,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1484,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk8,X1),X0) = app(sk8,app(X1,X0)) )
| ~ spl0_5
| ~ spl0_171 ),
inference(resolution,[],[f1377,f261]) ).
fof(f6029,plain,
( spl0_247
| ~ spl0_4
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1483,f1376,f254,f6027]) ).
fof(f6027,plain,
( spl0_247
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) )
| ~ spl0_4
| ~ spl0_171 ),
inference(resolution,[],[f1377,f256]) ).
fof(f6025,plain,
( spl0_246
| ~ spl0_1
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1482,f1376,f239,f6023]) ).
fof(f6023,plain,
( spl0_246
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_1
| ~ spl0_171 ),
inference(resolution,[],[f1377,f241]) ).
fof(f6021,plain,
( spl0_245
| ~ spl0_7
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1481,f1376,f269,f6019]) ).
fof(f6019,plain,
( spl0_245
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f1481,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_7
| ~ spl0_171 ),
inference(resolution,[],[f1377,f271]) ).
fof(f5993,plain,
( spl0_244
| spl0_241
| ~ spl0_6
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1449,f1372,f264,f4957,f5990]) ).
fof(f5990,plain,
( spl0_244
<=> sk9 = app(skaf80(sk9),cons(skaf78(sk9),cons(skaf79(sk9),skaf81(sk9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f4957,plain,
( spl0_241
<=> equalelemsP(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f1372,plain,
( spl0_170
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1449,plain,
( equalelemsP(sk9)
| sk9 = app(skaf80(sk9),cons(skaf78(sk9),cons(skaf79(sk9),skaf81(sk9))))
| ~ spl0_6
| ~ spl0_170 ),
inference(resolution,[],[f1373,f266]) ).
fof(f1373,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f5964,plain,
( spl0_243
| spl0_237
| ~ spl0_1
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1446,f1372,f239,f3858,f5961]) ).
fof(f5961,plain,
( spl0_243
<=> sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f3858,plain,
( spl0_237
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1446,plain,
( equalelemsP(sk4)
| sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4))))
| ~ spl0_1
| ~ spl0_170 ),
inference(resolution,[],[f1373,f241]) ).
fof(f5921,plain,
( spl0_210
| spl0_242
| ~ spl0_6
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1343,f1293,f264,f5919,f2155]) ).
fof(f2155,plain,
( spl0_210
<=> nil = sk9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f5919,plain,
( spl0_242
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk9,X0)) = app(tl(sk9),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f1293,plain,
( spl0_166
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1343,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk9
| tl(app(sk9,X0)) = app(tl(sk9),X0) )
| ~ spl0_6
| ~ spl0_166 ),
inference(resolution,[],[f1294,f266]) ).
fof(f1294,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f5829,plain,
( spl0_240
| ~ spl0_11
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2627,f1979,f288,f4360]) ).
fof(f4360,plain,
( spl0_240
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f288,plain,
( spl0_11
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1979,plain,
( spl0_202
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2627,plain,
( equalelemsP(sk3)
| ~ spl0_11
| ~ spl0_202 ),
inference(superposition,[],[f290,f1981]) ).
fof(f1981,plain,
( nil = sk3
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f290,plain,
( equalelemsP(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f5500,plain,
( ~ spl0_227
| ~ spl0_59
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208
| ~ spl0_216
| spl0_240 ),
inference(avatar_split_clause,[],[f5236,f4360,f2389,f2111,f1979,f865,f807,f492,f3063]) ).
fof(f3063,plain,
( spl0_227
<=> equalelemsP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f807,plain,
( spl0_113
<=> sk8 = app(sk8,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f865,plain,
( spl0_127
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f2111,plain,
( spl0_208
<=> nil = sk8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f5236,plain,
( ~ equalelemsP(sk7)
| ~ spl0_59
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208
| ~ spl0_216
| spl0_240 ),
inference(forward_demodulation,[],[f4361,f5073]) ).
fof(f5073,plain,
( sk3 = sk7
| ~ spl0_59
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f4484,f3109]) ).
fof(f3109,plain,
( sk7 = app(app(app(app(sk7,cons(sk5,sk7)),sk7),cons(sk6,sk7)),sk9)
| ~ spl0_59
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f3108,f3079]) ).
fof(f3079,plain,
( sk3 = sk7
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2895,f2391]) ).
fof(f2895,plain,
( sk3 = sk8
| ~ spl0_113
| ~ spl0_127
| ~ spl0_202
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2442,f2657]) ).
fof(f2657,plain,
( sk8 = app(sk8,sk3)
| ~ spl0_113
| ~ spl0_202 ),
inference(superposition,[],[f809,f1981]) ).
fof(f809,plain,
( sk8 = app(sk8,nil)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f2442,plain,
( sk3 = app(sk8,sk3)
| ~ spl0_127
| ~ spl0_208 ),
inference(superposition,[],[f867,f2113]) ).
fof(f2113,plain,
( nil = sk8
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f867,plain,
( sk3 = app(nil,sk3)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f3108,plain,
( sk3 = app(app(app(app(sk7,cons(sk5,sk7)),sk7),cons(sk6,sk7)),sk9)
| ~ spl0_59
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2419,f2391]) ).
fof(f2419,plain,
( sk3 = app(app(app(app(sk7,cons(sk5,sk8)),sk8),cons(sk6,sk8)),sk9)
| ~ spl0_59
| ~ spl0_208 ),
inference(superposition,[],[f494,f2113]) ).
fof(f4484,plain,
( sk3 = app(app(app(app(sk7,cons(sk5,sk7)),sk7),cons(sk6,sk7)),sk9)
| ~ spl0_59
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f3140,f2391]) ).
fof(f3140,plain,
( sk3 = app(app(app(app(sk7,cons(sk5,sk8)),sk8),cons(sk6,sk8)),sk9)
| ~ spl0_59
| ~ spl0_208 ),
inference(superposition,[],[f494,f2113]) ).
fof(f4361,plain,
( ~ equalelemsP(sk3)
| spl0_240 ),
inference(avatar_component_clause,[],[f4360]) ).
fof(f5137,plain,
( spl0_210
| ~ spl0_202
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3659,f2605,f1979,f2155]) ).
fof(f2605,plain,
( spl0_222
<=> sk3 = sk9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f3659,plain,
( nil = sk9
| ~ spl0_202
| ~ spl0_222 ),
inference(forward_demodulation,[],[f1981,f2607]) ).
fof(f2607,plain,
( sk3 = sk9
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2605]) ).
fof(f5001,plain,
( spl0_230
| ~ spl0_202
| ~ spl0_206
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f4980,f2605,f2067,f1979,f3462]) ).
fof(f2067,plain,
( spl0_206
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f4980,plain,
( sk7 = sk9
| ~ spl0_202
| ~ spl0_206
| ~ spl0_222 ),
inference(forward_demodulation,[],[f3659,f2069]) ).
fof(f2069,plain,
( nil = sk7
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f4962,plain,
( ~ spl0_227
| ~ spl0_230
| spl0_241 ),
inference(avatar_split_clause,[],[f4961,f4957,f3462,f3063]) ).
fof(f4961,plain,
( ~ equalelemsP(sk7)
| ~ spl0_230
| spl0_241 ),
inference(forward_demodulation,[],[f4959,f3464]) ).
fof(f3464,plain,
( sk7 = sk9
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f3462]) ).
fof(f4959,plain,
( ~ equalelemsP(sk9)
| spl0_241 ),
inference(avatar_component_clause,[],[f4957]) ).
fof(f4960,plain,
( ~ spl0_241
| ~ spl0_222
| spl0_240 ),
inference(avatar_split_clause,[],[f4364,f4360,f2605,f4957]) ).
fof(f4364,plain,
( ~ equalelemsP(sk9)
| ~ spl0_222
| spl0_240 ),
inference(forward_demodulation,[],[f4361,f2607]) ).
fof(f4368,plain,
( ~ spl0_227
| ~ spl0_106
| ~ spl0_147
| ~ spl0_206
| ~ spl0_210
| ~ spl0_222
| spl0_240 ),
inference(avatar_split_clause,[],[f4365,f4360,f2605,f2155,f2067,f1064,f778,f3063]) ).
fof(f778,plain,
( spl0_106
<=> sk7 = app(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1064,plain,
( spl0_147
<=> sk9 = app(nil,sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f4365,plain,
( ~ equalelemsP(sk7)
| ~ spl0_106
| ~ spl0_147
| ~ spl0_206
| ~ spl0_210
| ~ spl0_222
| spl0_240 ),
inference(forward_demodulation,[],[f4364,f3789]) ).
fof(f3789,plain,
( sk7 = sk9
| ~ spl0_106
| ~ spl0_147
| ~ spl0_206
| ~ spl0_210 ),
inference(forward_demodulation,[],[f2336,f2565]) ).
fof(f2565,plain,
( sk7 = app(sk7,sk9)
| ~ spl0_106
| ~ spl0_210 ),
inference(superposition,[],[f780,f2157]) ).
fof(f2157,plain,
( nil = sk9
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f780,plain,
( sk7 = app(sk7,nil)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f2336,plain,
( sk9 = app(sk7,sk9)
| ~ spl0_147
| ~ spl0_206 ),
inference(superposition,[],[f1066,f2069]) ).
fof(f1066,plain,
( sk9 = app(nil,sk9)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f4363,plain,
( spl0_239
| spl0_240
| ~ spl0_7
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1445,f1372,f269,f4360,f4356]) ).
fof(f4356,plain,
( spl0_239
<=> sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f1445,plain,
( equalelemsP(sk3)
| sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3))))
| ~ spl0_7
| ~ spl0_170 ),
inference(resolution,[],[f1373,f271]) ).
fof(f4016,plain,
( spl0_208
| spl0_238
| ~ spl0_5
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1342,f1293,f259,f4014,f2111]) ).
fof(f4014,plain,
( spl0_238
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk8,X0)) = app(tl(sk8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1342,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk8
| tl(app(sk8,X0)) = app(tl(sk8),X0) )
| ~ spl0_5
| ~ spl0_166 ),
inference(resolution,[],[f1294,f261]) ).
fof(f3885,plain,
( spl0_204
| ~ spl0_206
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f3846,f2290,f2067,f2023]) ).
fof(f2023,plain,
( spl0_204
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f3846,plain,
( nil = sk4
| ~ spl0_206
| ~ spl0_214 ),
inference(forward_demodulation,[],[f2069,f2292]) ).
fof(f2292,plain,
( sk4 = sk7
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f3861,plain,
( spl0_237
| ~ spl0_11
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2239,f2023,f288,f3858]) ).
fof(f2239,plain,
( equalelemsP(sk4)
| ~ spl0_11
| ~ spl0_204 ),
inference(superposition,[],[f290,f2025]) ).
fof(f2025,plain,
( nil = sk4
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f3756,plain,
( spl0_206
| spl0_236
| ~ spl0_4
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1341,f1293,f254,f3754,f2067]) ).
fof(f3754,plain,
( spl0_236
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk7,X0)) = app(tl(sk7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1341,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| tl(app(sk7,X0)) = app(tl(sk7),X0) )
| ~ spl0_4
| ~ spl0_166 ),
inference(resolution,[],[f1294,f256]) ).
fof(f3669,plain,
( spl0_204
| spl0_235
| ~ spl0_1
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1340,f1293,f239,f3667,f2023]) ).
fof(f3667,plain,
( spl0_235
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk4,X0)) = app(tl(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1340,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| tl(app(sk4,X0)) = app(tl(sk4),X0) )
| ~ spl0_1
| ~ spl0_166 ),
inference(resolution,[],[f1294,f241]) ).
fof(f3574,plain,
( spl0_202
| spl0_234
| ~ spl0_7
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1339,f1293,f269,f3572,f1979]) ).
fof(f3572,plain,
( spl0_234
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f1339,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_7
| ~ spl0_166 ),
inference(resolution,[],[f1294,f271]) ).
fof(f3528,plain,
( spl0_210
| spl0_229
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1157,f1084,f264,f3320,f2155]) ).
fof(f3320,plain,
( spl0_229
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk9) = hd(app(sk9,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1084,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1157,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk9
| hd(sk9) = hd(app(sk9,X0)) )
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f1085,f266]) ).
fof(f1085,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f3491,plain,
( spl0_229
| spl0_233
| ~ spl0_6
| ~ spl0_148
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f3363,f2111,f1084,f264,f3488,f3320]) ).
fof(f3363,plain,
( ! [X0] :
( sk8 = sk9
| ~ ssList(X0)
| hd(sk9) = hd(app(sk9,X0)) )
| ~ spl0_6
| ~ spl0_148
| ~ spl0_208 ),
inference(forward_demodulation,[],[f1157,f2113]) ).
fof(f3486,plain,
( ~ spl0_232
| spl0_202
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f3420,f2111,f1979,f3483]) ).
fof(f3483,plain,
( spl0_232
<=> sk3 = sk8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f3420,plain,
( sk3 != sk8
| spl0_202
| ~ spl0_208 ),
inference(forward_demodulation,[],[f1980,f2113]) ).
fof(f1980,plain,
( nil != sk3
| spl0_202 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f3468,plain,
( spl0_230
| spl0_231
| ~ spl0_1
| ~ spl0_6
| ~ spl0_129
| ~ spl0_147
| ~ spl0_148
| ~ spl0_208
| ~ spl0_216
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f3365,f2770,f2389,f2111,f1084,f1064,f886,f264,f239,f3466,f3462]) ).
fof(f886,plain,
( spl0_129
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2770,plain,
( spl0_224
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk7) = hd(app(sk7,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f3365,plain,
( ! [X0] :
( hd(sk4) = hd(app(sk9,X0))
| sk7 = sk9
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_129
| ~ spl0_147
| ~ spl0_148
| ~ spl0_208
| ~ spl0_216
| ~ spl0_224 ),
inference(forward_demodulation,[],[f3364,f3311]) ).
fof(f3311,plain,
( hd(sk4) = hd(sk9)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_129
| ~ spl0_147
| ~ spl0_208
| ~ spl0_216
| ~ spl0_224 ),
inference(forward_demodulation,[],[f3310,f3308]) ).
fof(f3308,plain,
( hd(sk4) = hd(sk7)
| ~ spl0_1
| ~ spl0_129
| ~ spl0_208
| ~ spl0_216
| ~ spl0_224 ),
inference(forward_demodulation,[],[f3302,f3076]) ).
fof(f3076,plain,
( sk4 = app(sk7,sk4)
| ~ spl0_129
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2444,f2391]) ).
fof(f2444,plain,
( sk4 = app(sk8,sk4)
| ~ spl0_129
| ~ spl0_208 ),
inference(superposition,[],[f888,f2113]) ).
fof(f888,plain,
( sk4 = app(nil,sk4)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f3302,plain,
( hd(sk7) = hd(app(sk7,sk4))
| ~ spl0_1
| ~ spl0_224 ),
inference(resolution,[],[f2771,f241]) ).
fof(f2771,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk7) = hd(app(sk7,X0)) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2770]) ).
fof(f3310,plain,
( hd(sk7) = hd(sk9)
| ~ spl0_6
| ~ spl0_147
| ~ spl0_208
| ~ spl0_216
| ~ spl0_224 ),
inference(forward_demodulation,[],[f3305,f3073]) ).
fof(f3073,plain,
( sk9 = app(sk7,sk9)
| ~ spl0_147
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2447,f2391]) ).
fof(f2447,plain,
( sk9 = app(sk8,sk9)
| ~ spl0_147
| ~ spl0_208 ),
inference(superposition,[],[f1066,f2113]) ).
fof(f3305,plain,
( hd(sk7) = hd(app(sk7,sk9))
| ~ spl0_6
| ~ spl0_224 ),
inference(resolution,[],[f2771,f266]) ).
fof(f3364,plain,
( ! [X0] :
( sk7 = sk9
| ~ ssList(X0)
| hd(sk9) = hd(app(sk9,X0)) )
| ~ spl0_6
| ~ spl0_148
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_demodulation,[],[f3363,f2391]) ).
fof(f3322,plain,
( spl0_229
| spl0_222
| ~ spl0_6
| ~ spl0_148
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2626,f1979,f1084,f264,f2605,f3320]) ).
fof(f2626,plain,
( ! [X0] :
( sk3 = sk9
| ~ ssList(X0)
| hd(sk9) = hd(app(sk9,X0)) )
| ~ spl0_6
| ~ spl0_148
| ~ spl0_202 ),
inference(forward_demodulation,[],[f1157,f1981]) ).
fof(f3315,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_228
| ~ spl0_8
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1279,f1236,f274,f3313,f249,f244]) ).
fof(f3313,plain,
( spl0_228
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk5)
| ~ leq(X0,sk6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1279,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ ssItem(sk5)
| ~ leq(X0,sk6)
| leq(X0,sk5) )
| ~ spl0_8
| ~ spl0_165 ),
inference(resolution,[],[f1237,f276]) ).
fof(f3066,plain,
( spl0_227
| ~ spl0_11
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2299,f2067,f288,f3063]) ).
fof(f2299,plain,
( equalelemsP(sk7)
| ~ spl0_11
| ~ spl0_206 ),
inference(superposition,[],[f290,f2069]) ).
fof(f2982,plain,
( spl0_226
| ~ spl0_214
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2862,f2389,f2290,f2979]) ).
fof(f2862,plain,
( sk4 = sk8
| ~ spl0_214
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2391,f2292]) ).
fof(f2849,plain,
( spl0_208
| spl0_225
| ~ spl0_5
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1156,f1084,f259,f2847,f2111]) ).
fof(f2847,plain,
( spl0_225
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk8) = hd(app(sk8,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1156,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk8
| hd(sk8) = hd(app(sk8,X0)) )
| ~ spl0_5
| ~ spl0_148 ),
inference(resolution,[],[f1085,f261]) ).
fof(f2772,plain,
( spl0_206
| spl0_224
| ~ spl0_4
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1155,f1084,f254,f2770,f2067]) ).
fof(f1155,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| hd(sk7) = hd(app(sk7,X0)) )
| ~ spl0_4
| ~ spl0_148 ),
inference(resolution,[],[f1085,f256]) ).
fof(f2711,plain,
( spl0_204
| spl0_223
| ~ spl0_1
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1154,f1084,f239,f2709,f2023]) ).
fof(f2709,plain,
( spl0_223
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1154,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_1
| ~ spl0_148 ),
inference(resolution,[],[f1085,f241]) ).
fof(f2608,plain,
( spl0_222
| ~ spl0_202
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2603,f2155,f1979,f2605]) ).
fof(f2603,plain,
( sk3 = sk9
| ~ spl0_202
| ~ spl0_210 ),
inference(forward_demodulation,[],[f1981,f2157]) ).
fof(f2595,plain,
( spl0_202
| spl0_221
| ~ spl0_7
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1153,f1084,f269,f2593,f1979]) ).
fof(f2593,plain,
( spl0_221
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1153,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_7
| ~ spl0_148 ),
inference(resolution,[],[f1085,f271]) ).
fof(f2586,plain,
( spl0_219
| spl0_220
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1047,f999,f274,f249,f244,f2583,f2579]) ).
fof(f999,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1047,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| sk5 = sk6
| lt(sk6,sk5)
| ~ spl0_8
| ~ spl0_136 ),
inference(resolution,[],[f1000,f276]) ).
fof(f1000,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1
| lt(X0,X1) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f2535,plain,
( spl0_218
| spl0_210
| ~ spl0_6
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f984,f902,f264,f2155,f2532]) ).
fof(f2532,plain,
( spl0_218
<=> sk9 = cons(skaf83(sk9),skaf82(sk9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f902,plain,
( spl0_131
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f984,plain,
( nil = sk9
| sk9 = cons(skaf83(sk9),skaf82(sk9))
| ~ spl0_6
| ~ spl0_131 ),
inference(resolution,[],[f903,f266]) ).
fof(f903,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f2495,plain,
( spl0_217
| ~ spl0_11
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2410,f2111,f288,f2492]) ).
fof(f2492,plain,
( spl0_217
<=> equalelemsP(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2410,plain,
( equalelemsP(sk8)
| ~ spl0_11
| ~ spl0_208 ),
inference(superposition,[],[f290,f2113]) ).
fof(f2392,plain,
( spl0_216
| ~ spl0_206
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2387,f2111,f2067,f2389]) ).
fof(f2387,plain,
( sk7 = sk8
| ~ spl0_206
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2113,f2069]) ).
fof(f2384,plain,
( spl0_215
| spl0_208
| ~ spl0_5
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f983,f902,f259,f2111,f2381]) ).
fof(f2381,plain,
( spl0_215
<=> sk8 = cons(skaf83(sk8),skaf82(sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f983,plain,
( nil = sk8
| sk8 = cons(skaf83(sk8),skaf82(sk8))
| ~ spl0_5
| ~ spl0_131 ),
inference(resolution,[],[f903,f261]) ).
fof(f2293,plain,
( spl0_214
| ~ spl0_204
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2288,f2067,f2023,f2290]) ).
fof(f2288,plain,
( sk4 = sk7
| ~ spl0_204
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2069,f2025]) ).
fof(f2285,plain,
( spl0_213
| spl0_206
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f982,f902,f254,f2067,f2282]) ).
fof(f2282,plain,
( spl0_213
<=> sk7 = cons(skaf83(sk7),skaf82(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f982,plain,
( nil = sk7
| sk7 = cons(skaf83(sk7),skaf82(sk7))
| ~ spl0_4
| ~ spl0_131 ),
inference(resolution,[],[f903,f256]) ).
fof(f2238,plain,
( spl0_212
| spl0_204
| ~ spl0_1
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f981,f902,f239,f2023,f2235]) ).
fof(f2235,plain,
( spl0_212
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f981,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_1
| ~ spl0_131 ),
inference(resolution,[],[f903,f241]) ).
fof(f2198,plain,
( spl0_211
| spl0_202
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f980,f902,f269,f1979,f2195]) ).
fof(f2195,plain,
( spl0_211
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f980,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_7
| ~ spl0_131 ),
inference(resolution,[],[f903,f271]) ).
fof(f2158,plain,
( spl0_209
| spl0_210
| ~ spl0_6
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f948,f898,f264,f2155,f2151]) ).
fof(f2151,plain,
( spl0_209
<=> sk9 = cons(hd(sk9),tl(sk9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f898,plain,
( spl0_130
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f948,plain,
( nil = sk9
| sk9 = cons(hd(sk9),tl(sk9))
| ~ spl0_6
| ~ spl0_130 ),
inference(resolution,[],[f899,f266]) ).
fof(f899,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f2114,plain,
( spl0_207
| spl0_208
| ~ spl0_5
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f947,f898,f259,f2111,f2107]) ).
fof(f2107,plain,
( spl0_207
<=> sk8 = cons(hd(sk8),tl(sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f947,plain,
( nil = sk8
| sk8 = cons(hd(sk8),tl(sk8))
| ~ spl0_5
| ~ spl0_130 ),
inference(resolution,[],[f899,f261]) ).
fof(f2070,plain,
( spl0_205
| spl0_206
| ~ spl0_4
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f946,f898,f254,f2067,f2063]) ).
fof(f2063,plain,
( spl0_205
<=> sk7 = cons(hd(sk7),tl(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f946,plain,
( nil = sk7
| sk7 = cons(hd(sk7),tl(sk7))
| ~ spl0_4
| ~ spl0_130 ),
inference(resolution,[],[f899,f256]) ).
fof(f2026,plain,
( spl0_203
| spl0_204
| ~ spl0_1
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f945,f898,f239,f2023,f2019]) ).
fof(f2019,plain,
( spl0_203
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f945,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_1
| ~ spl0_130 ),
inference(resolution,[],[f899,f241]) ).
fof(f1982,plain,
( spl0_201
| spl0_202
| ~ spl0_7
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f944,f898,f269,f1979,f1975]) ).
fof(f1975,plain,
( spl0_201
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f944,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_7
| ~ spl0_130 ),
inference(resolution,[],[f899,f271]) ).
fof(f1970,plain,
( spl0_200
| ~ spl0_3
| ~ spl0_2
| ~ spl0_8
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f893,f853,f274,f244,f249,f1967]) ).
fof(f893,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| geq(sk5,sk6)
| ~ spl0_8
| ~ spl0_124 ),
inference(resolution,[],[f854,f276]) ).
fof(f1962,plain,
spl0_199,
inference(avatar_split_clause,[],[f231,f1960]) ).
fof(f1960,plain,
( spl0_199
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f1958,plain,
spl0_198,
inference(avatar_split_clause,[],[f230,f1956]) ).
fof(f1956,plain,
( spl0_198
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f1954,plain,
spl0_197,
inference(avatar_split_clause,[],[f229,f1952]) ).
fof(f1952,plain,
( spl0_197
<=> ! [X2,X4,X0,X3,X1] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f1930,plain,
spl0_196,
inference(avatar_split_clause,[],[f228,f1928]) ).
fof(f1928,plain,
( spl0_196
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f1926,plain,
spl0_195,
inference(avatar_split_clause,[],[f227,f1924]) ).
fof(f1924,plain,
( spl0_195
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f1921,plain,
spl0_194,
inference(avatar_split_clause,[],[f224,f1919]) ).
fof(f1919,plain,
( spl0_194
<=> ! [X0,X3,X2,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f1915,plain,
spl0_193,
inference(avatar_split_clause,[],[f226,f1913]) ).
fof(f1913,plain,
( spl0_193
<=> ! [X0,X3,X2,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f1909,plain,
spl0_192,
inference(avatar_split_clause,[],[f177,f1907]) ).
fof(f1907,plain,
( spl0_192
<=> ! [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_192])]) ).
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/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f1671,plain,
spl0_191,
inference(avatar_split_clause,[],[f167,f1669]) ).
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/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f1667,plain,
spl0_190,
inference(avatar_split_clause,[],[f166,f1665]) ).
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/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f1663,plain,
spl0_189,
inference(avatar_split_clause,[],[f165,f1661]) ).
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/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f1659,plain,
spl0_188,
inference(avatar_split_clause,[],[f164,f1657]) ).
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/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1655,plain,
spl0_187,
inference(avatar_split_clause,[],[f163,f1653]) ).
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/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f1651,plain,
spl0_186,
inference(avatar_split_clause,[],[f162,f1649]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f1610,plain,
spl0_185,
inference(avatar_split_clause,[],[f223,f1608]) ).
fof(f223,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/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f1606,plain,
spl0_184,
inference(avatar_split_clause,[],[f222,f1604]) ).
fof(f1604,plain,
( spl0_184
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1546,plain,
spl0_183,
inference(avatar_split_clause,[],[f176,f1544]) ).
fof(f1544,plain,
( spl0_183
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f1542,plain,
spl0_182,
inference(avatar_split_clause,[],[f174,f1540]) ).
fof(f1540,plain,
( spl0_182
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1538,plain,
spl0_181,
inference(avatar_split_clause,[],[f172,f1536]) ).
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/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f1534,plain,
spl0_180,
inference(avatar_split_clause,[],[f171,f1532]) ).
fof(f1532,plain,
( spl0_180
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f1530,plain,
spl0_179,
inference(avatar_split_clause,[],[f170,f1528]) ).
fof(f1528,plain,
( spl0_179
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1526,plain,
spl0_178,
inference(avatar_split_clause,[],[f169,f1524]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1522,plain,
spl0_177,
inference(avatar_split_clause,[],[f168,f1520]) ).
fof(f1520,plain,
( spl0_177
<=> ! [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_177])]) ).
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/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1413,plain,
spl0_176,
inference(avatar_split_clause,[],[f161,f1411]) ).
fof(f1411,plain,
( spl0_176
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f1409,plain,
spl0_175,
inference(avatar_split_clause,[],[f160,f1407]) ).
fof(f1407,plain,
( spl0_175
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1405,plain,
spl0_174,
inference(avatar_split_clause,[],[f159,f1403]) ).
fof(f1403,plain,
( spl0_174
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f1401,plain,
spl0_173,
inference(avatar_split_clause,[],[f158,f1399]) ).
fof(f1399,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1397,plain,
spl0_172,
inference(avatar_split_clause,[],[f157,f1395]) ).
fof(f1395,plain,
( spl0_172
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1378,plain,
spl0_171,
inference(avatar_split_clause,[],[f149,f1376]) ).
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/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f1374,plain,
spl0_170,
inference(avatar_split_clause,[],[f142,f1372]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f1307,plain,
spl0_169,
inference(avatar_split_clause,[],[f232,f1305]) ).
fof(f1305,plain,
( spl0_169
<=> ! [X0,X1,X3] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f232,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f1303,plain,
spl0_168,
inference(avatar_split_clause,[],[f151,f1301]) ).
fof(f1301,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f1299,plain,
spl0_167,
inference(avatar_split_clause,[],[f150,f1297]) ).
fof(f1297,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f1295,plain,
spl0_166,
inference(avatar_split_clause,[],[f133,f1293]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f1238,plain,
spl0_165,
inference(avatar_split_clause,[],[f156,f1236]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f1234,plain,
spl0_164,
inference(avatar_split_clause,[],[f155,f1232]) ).
fof(f1232,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1230,plain,
spl0_163,
inference(avatar_split_clause,[],[f154,f1228]) ).
fof(f1228,plain,
( spl0_163
<=> ! [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_163])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f1226,plain,
spl0_162,
inference(avatar_split_clause,[],[f153,f1224]) ).
fof(f1224,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f1222,plain,
spl0_161,
inference(avatar_split_clause,[],[f152,f1220]) ).
fof(f1220,plain,
( spl0_161
<=> ! [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_161])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1218,plain,
spl0_160,
inference(avatar_split_clause,[],[f148,f1216]) ).
fof(f1216,plain,
( spl0_160
<=> ! [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_160])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f1214,plain,
spl0_159,
inference(avatar_split_clause,[],[f147,f1212]) ).
fof(f1212,plain,
( spl0_159
<=> ! [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_159])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f1210,plain,
spl0_158,
inference(avatar_split_clause,[],[f146,f1208]) ).
fof(f1208,plain,
( spl0_158
<=> ! [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_158])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f1206,plain,
spl0_157,
inference(avatar_split_clause,[],[f135,f1204]) ).
fof(f1204,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f1202,plain,
spl0_156,
inference(avatar_split_clause,[],[f134,f1200]) ).
fof(f1200,plain,
( spl0_156
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f1121,plain,
spl0_155,
inference(avatar_split_clause,[],[f141,f1119]) ).
fof(f1119,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1117,plain,
spl0_154,
inference(avatar_split_clause,[],[f140,f1115]) ).
fof(f1115,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1106,plain,
spl0_153,
inference(avatar_split_clause,[],[f139,f1104]) ).
fof(f1104,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1102,plain,
spl0_152,
inference(avatar_split_clause,[],[f137,f1100]) ).
fof(f1100,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f1098,plain,
spl0_151,
inference(avatar_split_clause,[],[f136,f1096]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f1094,plain,
spl0_150,
inference(avatar_split_clause,[],[f132,f1092]) ).
fof(f1092,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f1090,plain,
spl0_149,
inference(avatar_split_clause,[],[f131,f1088]) ).
fof(f1088,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1086,plain,
spl0_148,
inference(avatar_split_clause,[],[f123,f1084]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1067,plain,
( spl0_147
| ~ spl0_6
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f678,f610,f264,f1064]) ).
fof(f678,plain,
( sk9 = app(nil,sk9)
| ~ spl0_6
| ~ spl0_88 ),
inference(resolution,[],[f611,f266]) ).
fof(f1042,plain,
spl0_146,
inference(avatar_split_clause,[],[f219,f1040]) ).
fof(f1040,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f219,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/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f1038,plain,
spl0_145,
inference(avatar_split_clause,[],[f218,f1036]) ).
fof(f218,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/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f1034,plain,
spl0_144,
inference(avatar_split_clause,[],[f130,f1032]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f1030,plain,
( spl0_143
| ~ spl0_5
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f677,f610,f259,f1027]) ).
fof(f1027,plain,
( spl0_143
<=> sk8 = app(nil,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f677,plain,
( sk8 = app(nil,sk8)
| ~ spl0_5
| ~ spl0_88 ),
inference(resolution,[],[f611,f261]) ).
fof(f1025,plain,
spl0_142,
inference(avatar_split_clause,[],[f129,f1023]) ).
fof(f1023,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f1021,plain,
spl0_141,
inference(avatar_split_clause,[],[f128,f1019]) ).
fof(f1019,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f1017,plain,
spl0_140,
inference(avatar_split_clause,[],[f127,f1015]) ).
fof(f1015,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f1013,plain,
spl0_139,
inference(avatar_split_clause,[],[f126,f1011]) ).
fof(f1011,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f1009,plain,
spl0_138,
inference(avatar_split_clause,[],[f125,f1007]) ).
fof(f1007,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1005,plain,
spl0_137,
inference(avatar_split_clause,[],[f124,f1003]) ).
fof(f1003,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1001,plain,
spl0_136,
inference(avatar_split_clause,[],[f122,f999]) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f997,plain,
spl0_135,
inference(avatar_split_clause,[],[f120,f995]) ).
fof(f995,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f989,plain,
( spl0_134
| ~ spl0_4
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f676,f610,f254,f986]) ).
fof(f986,plain,
( spl0_134
<=> sk7 = app(nil,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f676,plain,
( sk7 = app(nil,sk7)
| ~ spl0_4
| ~ spl0_88 ),
inference(resolution,[],[f611,f256]) ).
fof(f912,plain,
spl0_133,
inference(avatar_split_clause,[],[f119,f910]) ).
fof(f910,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f908,plain,
spl0_132,
inference(avatar_split_clause,[],[f118,f906]) ).
fof(f906,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f904,plain,
spl0_131,
inference(avatar_split_clause,[],[f109,f902]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f900,plain,
spl0_130,
inference(avatar_split_clause,[],[f104,f898]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f889,plain,
( spl0_129
| ~ spl0_1
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f675,f610,f239,f886]) ).
fof(f675,plain,
( sk4 = app(nil,sk4)
| ~ spl0_1
| ~ spl0_88 ),
inference(resolution,[],[f611,f241]) ).
fof(f872,plain,
spl0_128,
inference(avatar_split_clause,[],[f213,f870]) ).
fof(f870,plain,
( spl0_128
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f213,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f868,plain,
( spl0_127
| ~ spl0_7
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f674,f610,f269,f865]) ).
fof(f674,plain,
( sk3 = app(nil,sk3)
| ~ spl0_7
| ~ spl0_88 ),
inference(resolution,[],[f611,f271]) ).
fof(f863,plain,
spl0_126,
inference(avatar_split_clause,[],[f114,f861]) ).
fof(f861,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f859,plain,
spl0_125,
inference(avatar_split_clause,[],[f110,f857]) ).
fof(f857,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f855,plain,
spl0_124,
inference(avatar_split_clause,[],[f108,f853]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f851,plain,
spl0_123,
inference(avatar_split_clause,[],[f107,f849]) ).
fof(f849,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f847,plain,
spl0_122,
inference(avatar_split_clause,[],[f106,f845]) ).
fof(f845,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f843,plain,
spl0_121,
inference(avatar_split_clause,[],[f105,f841]) ).
fof(f841,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f839,plain,
spl0_120,
inference(avatar_split_clause,[],[f103,f837]) ).
fof(f837,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f835,plain,
spl0_119,
inference(avatar_split_clause,[],[f102,f833]) ).
fof(f833,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f831,plain,
spl0_118,
inference(avatar_split_clause,[],[f101,f829]) ).
fof(f829,plain,
( spl0_118
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f827,plain,
spl0_117,
inference(avatar_split_clause,[],[f100,f825]) ).
fof(f825,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f823,plain,
( spl0_116
| ~ spl0_6
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f645,f606,f264,f820]) ).
fof(f645,plain,
( sk9 = app(sk9,nil)
| ~ spl0_6
| ~ spl0_87 ),
inference(resolution,[],[f607,f266]) ).
fof(f818,plain,
spl0_115,
inference(avatar_split_clause,[],[f97,f816]) ).
fof(f816,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f814,plain,
spl0_114,
inference(avatar_split_clause,[],[f96,f812]) ).
fof(f812,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f810,plain,
( spl0_113
| ~ spl0_5
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f644,f606,f259,f807]) ).
fof(f644,plain,
( sk8 = app(sk8,nil)
| ~ spl0_5
| ~ spl0_87 ),
inference(resolution,[],[f607,f261]) ).
fof(f805,plain,
spl0_112,
inference(avatar_split_clause,[],[f234,f803]) ).
fof(f803,plain,
( spl0_112
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f234,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f801,plain,
spl0_111,
inference(avatar_split_clause,[],[f99,f799]) ).
fof(f799,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f797,plain,
spl0_110,
inference(avatar_split_clause,[],[f98,f795]) ).
fof(f795,plain,
( spl0_110
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f793,plain,
spl0_109,
inference(avatar_split_clause,[],[f95,f791]) ).
fof(f791,plain,
( spl0_109
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f789,plain,
spl0_108,
inference(avatar_split_clause,[],[f94,f787]) ).
fof(f787,plain,
( spl0_108
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f785,plain,
spl0_107,
inference(avatar_split_clause,[],[f93,f783]) ).
fof(f783,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f781,plain,
( spl0_106
| ~ spl0_4
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f643,f606,f254,f778]) ).
fof(f643,plain,
( sk7 = app(sk7,nil)
| ~ spl0_4
| ~ spl0_87 ),
inference(resolution,[],[f607,f256]) ).
fof(f776,plain,
spl0_105,
inference(avatar_split_clause,[],[f92,f774]) ).
fof(f774,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f772,plain,
spl0_104,
inference(avatar_split_clause,[],[f91,f770]) ).
fof(f770,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f768,plain,
spl0_103,
inference(avatar_split_clause,[],[f90,f766]) ).
fof(f766,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f764,plain,
spl0_102,
inference(avatar_split_clause,[],[f89,f762]) ).
fof(f762,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f760,plain,
spl0_101,
inference(avatar_split_clause,[],[f88,f758]) ).
fof(f758,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f756,plain,
spl0_100,
inference(avatar_split_clause,[],[f87,f754]) ).
fof(f754,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f746,plain,
spl0_99,
inference(avatar_split_clause,[],[f194,f744]) ).
fof(f194,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssItem(X7)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X11,X7)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f742,plain,
spl0_98,
inference(avatar_split_clause,[],[f193,f740]) ).
fof(f193,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssItem(X7)
| ~ ssItem(X11)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ memberP(X9,X11)
| ~ leq(X7,X6)
| leq(X6,X11)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f738,plain,
( spl0_97
| ~ spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f642,f606,f239,f735]) ).
fof(f735,plain,
( spl0_97
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f642,plain,
( sk4 = app(sk4,nil)
| ~ spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f607,f241]) ).
fof(f714,plain,
spl0_96,
inference(avatar_split_clause,[],[f86,f712]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f710,plain,
spl0_95,
inference(avatar_split_clause,[],[f85,f708]) ).
fof(f708,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f706,plain,
spl0_94,
inference(avatar_split_clause,[],[f84,f704]) ).
fof(f704,plain,
( spl0_94
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f702,plain,
spl0_93,
inference(avatar_split_clause,[],[f82,f700]) ).
fof(f700,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f698,plain,
( spl0_92
| ~ spl0_7
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f641,f606,f269,f695]) ).
fof(f695,plain,
( spl0_92
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f641,plain,
( sk3 = app(sk3,nil)
| ~ spl0_7
| ~ spl0_87 ),
inference(resolution,[],[f607,f271]) ).
fof(f693,plain,
spl0_91,
inference(avatar_split_clause,[],[f80,f691]) ).
fof(f691,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f689,plain,
spl0_90,
inference(avatar_split_clause,[],[f77,f687]) ).
fof(f687,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f682,plain,
spl0_89,
inference(avatar_split_clause,[],[f192,f680]) ).
fof(f192,axiom,
! [X10,X8,X6,X9,X7] :
( ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ leq(X7,X6)
| leq(X6,X7)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f612,plain,
spl0_88,
inference(avatar_split_clause,[],[f74,f610]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f608,plain,
spl0_87,
inference(avatar_split_clause,[],[f73,f606]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f604,plain,
( spl0_10
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| spl0_10
| ~ spl0_85 ),
inference(resolution,[],[f598,f284]) ).
fof(f284,plain,
( ~ ssItem(sk10)
| spl0_10 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f598,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl0_85
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f602,plain,
( spl0_85
| spl0_86 ),
inference(avatar_split_clause,[],[f72,f600,f597]) ).
fof(f600,plain,
( spl0_86
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f595,plain,
spl0_84,
inference(avatar_split_clause,[],[f70,f593]) ).
fof(f593,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f591,plain,
spl0_83,
inference(avatar_split_clause,[],[f69,f589]) ).
fof(f589,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f587,plain,
spl0_82,
inference(avatar_split_clause,[],[f68,f585]) ).
fof(f585,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f583,plain,
spl0_81,
inference(avatar_split_clause,[],[f67,f581]) ).
fof(f581,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f579,plain,
spl0_80,
inference(avatar_split_clause,[],[f66,f577]) ).
fof(f577,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f575,plain,
spl0_79,
inference(avatar_split_clause,[],[f65,f573]) ).
fof(f573,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f571,plain,
spl0_78,
inference(avatar_split_clause,[],[f64,f569]) ).
fof(f569,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f567,plain,
spl0_77,
inference(avatar_split_clause,[],[f237,f565]) ).
fof(f565,plain,
( spl0_77
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f237,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,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/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f563,plain,
spl0_76,
inference(avatar_split_clause,[],[f235,f561]) ).
fof(f561,plain,
( spl0_76
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f235,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,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/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f559,plain,
spl0_75,
inference(avatar_split_clause,[],[f71,f557]) ).
fof(f557,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f555,plain,
spl0_74,
inference(avatar_split_clause,[],[f63,f553]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f551,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f549]) ).
fof(f549,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f547,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f545]) ).
fof(f545,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f543,plain,
spl0_71,
inference(avatar_split_clause,[],[f60,f541]) ).
fof(f541,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f539,plain,
spl0_70,
inference(avatar_split_clause,[],[f59,f537]) ).
fof(f537,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f535,plain,
spl0_69,
inference(avatar_split_clause,[],[f58,f533]) ).
fof(f533,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f531,plain,
spl0_68,
inference(avatar_split_clause,[],[f57,f529]) ).
fof(f529,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f527,plain,
spl0_67,
inference(avatar_split_clause,[],[f56,f525]) ).
fof(f525,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f523,plain,
spl0_66,
inference(avatar_split_clause,[],[f55,f521]) ).
fof(f521,plain,
( spl0_66
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f519,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f517]) ).
fof(f517,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f515,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f513]) ).
fof(f513,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f511,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f509]) ).
fof(f509,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f507,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f505]) ).
fof(f505,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f503,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f501]) ).
fof(f501,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f499,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f497]) ).
fof(f497,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f495,plain,
spl0_59,
inference(avatar_split_clause,[],[f207,f492]) ).
fof(f207,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f200,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f490,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f54,f487]) ).
fof(f487,plain,
( spl0_58
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f485,plain,
spl0_57,
inference(avatar_split_clause,[],[f47,f483]) ).
fof(f483,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f481,plain,
spl0_56,
inference(avatar_split_clause,[],[f46,f479]) ).
fof(f479,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f477,plain,
spl0_55,
inference(avatar_split_clause,[],[f45,f475]) ).
fof(f475,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f473,plain,
spl0_54,
inference(avatar_split_clause,[],[f44,f471]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f469,plain,
spl0_53,
inference(avatar_split_clause,[],[f43,f467]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f465,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f463]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f461,plain,
spl0_51,
inference(avatar_split_clause,[],[f41,f459]) ).
fof(f459,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f457,plain,
spl0_50,
inference(avatar_split_clause,[],[f40,f455]) ).
fof(f455,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f453,plain,
spl0_49,
inference(avatar_split_clause,[],[f39,f451]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f449,plain,
spl0_48,
inference(avatar_split_clause,[],[f38,f447]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f445,plain,
spl0_47,
inference(avatar_split_clause,[],[f37,f443]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f441,plain,
spl0_46,
inference(avatar_split_clause,[],[f36,f439]) ).
fof(f439,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f437,plain,
spl0_45,
inference(avatar_split_clause,[],[f35,f435]) ).
fof(f435,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f433,plain,
spl0_44,
inference(avatar_split_clause,[],[f34,f431]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f429,plain,
spl0_43,
inference(avatar_split_clause,[],[f33,f427]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f425,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f423]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f421,plain,
spl0_41,
inference(avatar_split_clause,[],[f31,f419]) ).
fof(f419,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f417,plain,
spl0_40,
inference(avatar_split_clause,[],[f30,f415]) ).
fof(f415,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f413,plain,
spl0_39,
inference(avatar_split_clause,[],[f29,f411]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f409,plain,
spl0_38,
inference(avatar_split_clause,[],[f28,f407]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f405,plain,
spl0_37,
inference(avatar_split_clause,[],[f27,f403]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f401,plain,
spl0_36,
inference(avatar_split_clause,[],[f26,f399]) ).
fof(f399,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f397,plain,
spl0_35,
inference(avatar_split_clause,[],[f25,f395]) ).
fof(f395,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f393,plain,
spl0_34,
inference(avatar_split_clause,[],[f24,f391]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f389,plain,
spl0_33,
inference(avatar_split_clause,[],[f23,f387]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f385,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f383]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f381,plain,
spl0_31,
inference(avatar_split_clause,[],[f21,f379]) ).
fof(f379,plain,
( spl0_31
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f377,plain,
spl0_30,
inference(avatar_split_clause,[],[f20,f375]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f373,plain,
spl0_29,
inference(avatar_split_clause,[],[f19,f371]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f369,plain,
spl0_28,
inference(avatar_split_clause,[],[f18,f367]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f365,plain,
spl0_27,
inference(avatar_split_clause,[],[f17,f363]) ).
fof(f363,plain,
( spl0_27
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f361,plain,
spl0_26,
inference(avatar_split_clause,[],[f16,f359]) ).
fof(f359,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f357,plain,
spl0_25,
inference(avatar_split_clause,[],[f15,f355]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f353,plain,
spl0_24,
inference(avatar_split_clause,[],[f14,f351]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f349,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f347]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f345,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f343]) ).
fof(f343,plain,
( spl0_22
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f341,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f11,f338]) ).
fof(f338,plain,
( spl0_21
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f336,plain,
spl0_20,
inference(avatar_split_clause,[],[f10,f333]) ).
fof(f333,plain,
( spl0_20
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f331,plain,
spl0_19,
inference(avatar_split_clause,[],[f9,f328]) ).
fof(f328,plain,
( spl0_19
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f326,plain,
spl0_18,
inference(avatar_split_clause,[],[f8,f323]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f321,plain,
spl0_17,
inference(avatar_split_clause,[],[f7,f318]) ).
fof(f318,plain,
( spl0_17
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f316,plain,
spl0_16,
inference(avatar_split_clause,[],[f6,f313]) ).
fof(f313,plain,
( spl0_16
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f311,plain,
spl0_15,
inference(avatar_split_clause,[],[f5,f308]) ).
fof(f308,plain,
( spl0_15
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f306,plain,
spl0_14,
inference(avatar_split_clause,[],[f4,f303]) ).
fof(f303,plain,
( spl0_14
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f301,plain,
spl0_13,
inference(avatar_split_clause,[],[f3,f298]) ).
fof(f298,plain,
( spl0_13
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f296,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f293]) ).
fof(f293,plain,
( spl0_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f291,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f288]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f286,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f202,f283,f279]) ).
fof(f202,axiom,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f277,plain,
spl0_8,
inference(avatar_split_clause,[],[f201,f274]) ).
fof(f201,axiom,
leq(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f272,plain,
spl0_7,
inference(avatar_split_clause,[],[f206,f269]) ).
fof(f206,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f267,plain,
spl0_6,
inference(avatar_split_clause,[],[f199,f264]) ).
fof(f199,axiom,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f262,plain,
spl0_5,
inference(avatar_split_clause,[],[f198,f259]) ).
fof(f198,axiom,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f257,plain,
spl0_4,
inference(avatar_split_clause,[],[f197,f254]) ).
fof(f197,axiom,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f252,plain,
spl0_3,
inference(avatar_split_clause,[],[f196,f249]) ).
fof(f196,axiom,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f247,plain,
spl0_2,
inference(avatar_split_clause,[],[f195,f244]) ).
fof(f195,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f242,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f239]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:33:56 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14362)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14365)WARNING: value z3 for option sas not known
% 0.14/0.38 % (14366)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (14363)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (14364)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (14365)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)
% 0.14/0.39 % (14367)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)
% 0.14/0.39 % (14368)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)
% 0.14/0.39 % (14369)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.45 TRYING [1]
% 0.23/0.46 TRYING [2]
% 0.23/0.47 TRYING [4]
% 0.23/0.49 TRYING [1]
% 0.23/0.49 TRYING [2]
% 0.23/0.50 TRYING [3]
% 0.23/0.53 TRYING [4]
% 0.23/0.53 TRYING [3]
% 0.23/0.57 TRYING [5]
% 0.23/0.60 % (14367)First to succeed.
% 1.78/0.61 % (14367)Refutation found. Thanks to Tanya!
% 1.78/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.62 % (14367)------------------------------
% 1.78/0.62 % (14367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.78/0.62 % (14367)Termination reason: Refutation
% 1.78/0.62
% 1.78/0.62 % (14367)Memory used [KB]: 5299
% 1.78/0.62 % (14367)Time elapsed: 0.225 s
% 1.78/0.62 % (14367)Instructions burned: 551 (million)
% 1.78/0.62 % (14367)------------------------------
% 1.78/0.62 % (14367)------------------------------
% 1.78/0.62 % (14362)Success in time 0.232 s
%------------------------------------------------------------------------------