TSTP Solution File: SWC220-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC220-1 : 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 : n020.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 16:11:42 EDT 2024
% Result : Unsatisfiable 1.28s 0.55s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 198
% Syntax : Number of formulae : 2079 ( 478 unt; 0 def)
% Number of atoms : 6701 (2555 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 9032 (4410 ~;4622 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 10 con; 0-3 aty)
% Number of variables : 3410 (3410 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5297,plain,
$false,
inference(subsumption_resolution,[],[f5296,f5217]) ).
fof(f5217,plain,
leq(sk6,sk6),
inference(superposition,[],[f5206,f5214]) ).
fof(f5214,plain,
sk6 = sk5(sk8,sk7,sk6),
inference(global_subsumption,[],[f198,f200,f199,f201,f197,f202,f142,f162,f165,f167,f166,f163,f164,f203,f204,f205,f78,f77,f230,f157,f209,f234,f210,f235,f169,f149,f168,f122,f213,f214,f228,f160,f159,f170,f171,f176,f174,f161,f217,f158,f172,f218,f219,f177,f221,f222,f223,f224,f225,f226,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f231,f232,f233,f240,f242,f244,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f236,f64,f65,f66,f67,f68,f69,f70,f72,f73,f322,f323,f316,f317,f320,f321,f74,f358,f359,f352,f353,f356,f357,f289,f290,f291,f292,f293,f75,f360,f361,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f76,f305,f306,f307,f308,f309,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f80,f82,f84,f85,f378,f379,f86,f433,f434,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f229,f310,f311,f312,f313,f314,f315,f346,f347,f348,f349,f350,f512,f351,f96,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f534,f535,f564,f565,f566,f573,f574,f536,f567,f568,f571,f572,f97,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f632,f633,f634,f641,f642,f604,f635,f636,f639,f640,f605,f606,f607,f101,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f103,f619,f620,f621,f622,f623,f624,f625,f537,f538,f539,f540,f105,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f106,f552,f553,f554,f555,f556,f557,f626,f627,f628,f629,f630,f107,f722,f724,f726,f631,f558,f559,f560,f561,f562,f563,f517,f747,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f777,f778,f771,f772,f775,f108,f792,f794,f776,f740,f518,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f836,f837,f830,f831,f834,f835,f110,f847,f799,f585,f872,f873,f874,f875,f876,f877,f878,f879,f880,f887,f888,f881,f882,f885,f886,f850,f851,f852,f114,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f208,f908,f864,f865,f866,f867,f868,f869,f870,f871,f586,f939,f940,f941,f942,f943,f944,f945,f946,f947,f954,f955,f948,f949,f104,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f995,f987,f988,f999,f1001,f952,f953,f996,f1004,f1005,f1010,f917,f109,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1064,f1056,f1057,f1059,f1068,f1070,f1065,f1077,f1079,f118,f119,f120,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1318,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f121,f1337,f1340,f1342,f1344,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f990,f993,f124,f1423,f125,f994,f126,f127,f128,f129,f130,f1675,f1679,f1682,f741,f742,f743,f744,f745,f746,f1694,f1783,f1843,f1951,f1952,f123,f2046,f2047,f2048,f2049,f2050,f2051,f2052,f2053,f2054,f2055,f2056,f2057,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2085,f2075,f2077,f2090,f2087,f2121,f2123,f2125,f2134,f2127,f2131,f2094,f2095,f2096,f2097,f2098,f2099,f2100,f131,f2153,f2161,f2101,f2102,f2103,f2104,f2105,f2106,f132,f2196,f2202,f2107,f2108,f2109,f2110,f2111,f2112,f2113,f2114,f136,f2302,f2303,f2305,f2307,f2309,f2311,f2313,f2315,f2317,f2319,f2321,f2323,f2325,f2327,f2329,f2331,f2333,f2335,f2337,f2339,f2341,f2343,f2345,f2347,f2349,f2351,f2355,f2357,f2359,f2372,f2393,f2394,f137,f2517,f2518,f2524,f2526,f2528,f2530,f2532,f2534,f2536,f2538,f2540,f2542,f2544,f2546,f2548,f2550,f2552,f2554,f2556,f2558,f2560,f2562,f2564,f2566,f2568,f2570,f2572,f2574,f2576,f2589,f139,f2580,f2629,f2630,f140,f2706,f2585,f2711,f2712,f2115,f2116,f2117,f2118,f2119,f2120,f141,f2612,f134,f135,f146,f2894,f2156,f2896,f2909,f2911,f2914,f2916,f2895,f2158,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2958,f2960,f2966,f2199,f3002,f3015,f3017,f3020,f3022,f147,f3024,f3001,f2201,f3058,f3059,f3060,f3061,f3062,f3063,f3064,f3066,f3068,f3078,f3070,f3074,f148,f2929,f2930,f2931,f2932,f2933,f2934,f2935,f2936,f2937,f2938,f152,f2939,f2940,f2941,f2942,f2943,f2944,f2945,f2946,f2947,f2948,f2949,f153,f3336,f3337,f3338,f3037,f3038,f3039,f3040,f3041,f3042,f3043,f3044,f3045,f3046,f154,f3450,f3452,f3453,f3454,f3047,f3048,f3049,f3050,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f155,f3555,f2798,f2378,f2084,f1063,f2967,f3653,f3075,f3661,f156,f3690,f3693,f3695,f2132,f193,f2367,f3795,f3796,f3797,f2374,f3806,f3807,f3808,f2587,f3815,f3816,f3817,f133,f3827,f3828,f3829,f3830,f3831,f3832,f3833,f3834,f3835,f3836,f3837,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f3848,f3849,f3850,f3851,f3852,f3853,f3866,f3856,f3858,f3871,f3874,f150,f4091,f4093,f4095,f4097,f4099,f4101,f4103,f4105,f4107,f4109,f4111,f4113,f4115,f4117,f4119,f4121,f4123,f4125,f4127,f4129,f4131,f4133,f4135,f4137,f4142,f4144,f4146,f4152,f4160,f4162,f4164,f4166,f4168,f4170,f4172,f4174,f4176,f4178,f4180,f4182,f4184,f4186,f4188,f4190,f4192,f4194,f4196,f4198,f4200,f4202,f4204,f4206,f4208,f4210,f4213,f4217,f4219,f4225,f4235,f4246,f4248,f4250,f4252,f4254,f4256,f4258,f4260,f4262,f4264,f4266,f4268,f4270,f4272,f4274,f4276,f4278,f4280,f4282,f4284,f4286,f4288,f4290,f4292,f4297,f4299,f4301,f4307,f4315,f4317,f4319,f4321,f4323,f4325,f4327,f4329,f4331,f4333,f4335,f4337,f4339,f4341,f4343,f4345,f4347,f4349,f4351,f4353,f4355,f4357,f4359,f4361,f4363,f4365,f4368,f4372,f4374,f4380,f4390,f151,f4564,f4566,f4568,f4570,f4572,f4574,f4576,f4578,f4580,f4582,f4584,f4586,f4588,f4590,f4592,f4594,f4596,f4598,f4600,f4602,f4604,f4606,f4608,f4610,f4616,f4618,f4620,f4622,f4628,f4638,f4640,f4642,f4644,f4646,f4648,f4650,f4652,f4654,f4656,f4658,f4660,f4662,f4664,f4666,f4668,f4670,f4672,f4674,f4676,f4678,f4680,f4682,f4684,f4686,f4688,f4692,f4694,f4700,f4708,f4719,f4721,f4723,f4725,f4727,f4729,f4731,f4733,f4735,f4737,f4739,f4741,f4743,f4745,f4747,f4749,f4751,f4753,f4755,f4757,f4759,f4761,f4763,f4765,f4771,f4773,f4775,f4777,f4783,f4793,f4795,f4797,f4799,f4801,f4803,f4805,f4807,f4809,f4811,f4813,f4815,f4817,f4819,f4821,f4823,f4825,f4827,f4829,f4831,f4833,f4835,f4837,f4839,f4841,f4843,f4847,f4849,f4855,f4863,f227,f4914,f4916,f4918,f4923,f4930,f194,f4868,f4860,f4789,f4713,f4705,f4634,f4395,f4386,f4312,f4240,f4231,f4157,f1785,f3864,f1062,f2083,f3575,f3782,f5044,f5045,f5046,f4981,f195,f5130,f5133,f196,f5206,f5211,f5213]) ).
fof(f5213,plain,
( ~ leq(sk5(sk8,sk7,sk6),sk6)
| sk6 = sk5(sk8,sk7,sk6) ),
inference(subsumption_resolution,[],[f5212,f240]) ).
fof(f5212,plain,
( ~ ssItem(sk6)
| ~ leq(sk5(sk8,sk7,sk6),sk6)
| sk6 = sk5(sk8,sk7,sk6) ),
inference(subsumption_resolution,[],[f5208,f3782]) ).
fof(f5208,plain,
( ~ ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6)
| ~ leq(sk5(sk8,sk7,sk6),sk6)
| sk6 = sk5(sk8,sk7,sk6) ),
inference(resolution,[],[f5206,f130]) ).
fof(f5211,plain,
! [X0] :
( ~ ssItem(X0)
| ~ leq(X0,sk6)
| leq(X0,sk5(sk8,sk7,sk6)) ),
inference(subsumption_resolution,[],[f5210,f3782]) ).
fof(f5210,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5(sk8,sk7,sk6))
| ~ leq(X0,sk6)
| leq(X0,sk5(sk8,sk7,sk6)) ),
inference(subsumption_resolution,[],[f5207,f240]) ).
fof(f5207,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ ssItem(sk5(sk8,sk7,sk6))
| ~ leq(X0,sk6)
| leq(X0,sk5(sk8,sk7,sk6)) ),
inference(resolution,[],[f5206,f156]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| leq(X6,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f5133,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| leq(sk5(sk8,sk7,sk6),sk6) ),
inference(subsumption_resolution,[],[f5132,f4981]) ).
fof(f5132,plain,
( ~ memberP(sk7,sk5(sk8,sk7,sk6))
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| leq(sk5(sk8,sk7,sk6),sk6) ),
inference(subsumption_resolution,[],[f5131,f3782]) ).
fof(f5131,plain,
( ~ ssItem(sk5(sk8,sk7,sk6))
| ~ memberP(sk7,sk5(sk8,sk7,sk6))
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| leq(sk5(sk8,sk7,sk6),sk6) ),
inference(resolution,[],[f5130,f3575]) ).
fof(f5130,plain,
memberP(sk8,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f5129,f240]) ).
fof(f5129,plain,
( memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5128,f244]) ).
fof(f5128,plain,
( ~ ssList(sk8)
| memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5123,f242]) ).
fof(f5123,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f5122]) ).
fof(f5122,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f195,f512]) ).
fof(f195,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X8,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f4981,plain,
memberP(sk7,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f4980,f240]) ).
fof(f4980,plain,
( memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f4979,f244]) ).
fof(f4979,plain,
( ~ ssList(sk8)
| memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f4976,f242]) ).
fof(f4976,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f4975]) ).
fof(f4975,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f194,f512]) ).
fof(f5046,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5(sk8,sk7,sk6),X0)) = X0 ),
inference(resolution,[],[f3782,f96]) ).
fof(f5045,plain,
! [X0] :
( ~ ssList(X0)
| sk5(sk8,sk7,sk6) = hd(cons(sk5(sk8,sk7,sk6),X0)) ),
inference(resolution,[],[f3782,f97]) ).
fof(f5044,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5(sk8,sk7,sk6),X0) = app(cons(sk5(sk8,sk7,sk6),nil),X0) ),
inference(resolution,[],[f3782,f120]) ).
fof(f3782,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f3781,f240]) ).
fof(f3781,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f3780,f244]) ).
fof(f3780,plain,
( ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f3777,f242]) ).
fof(f3777,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f3776]) ).
fof(f3776,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f193,f512]) ).
fof(f3575,plain,
! [X6] :
( ~ memberP(sk8,X6)
| ~ ssItem(X6)
| ~ memberP(sk7,X6)
| ~ leq(sk6,X6)
| leq(X6,sk6) ),
inference(subsumption_resolution,[],[f3574,f192]) ).
fof(f3574,plain,
! [X6] :
( nil = sk1
| ~ ssItem(X6)
| ~ memberP(sk8,X6)
| ~ memberP(sk7,X6)
| ~ leq(sk6,X6)
| leq(X6,sk6) ),
inference(forward_demodulation,[],[f202,f191]) ).
fof(f2083,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk7
| hd(sk7) = hd(app(sk7,X0)) ),
inference(resolution,[],[f123,f242]) ).
fof(f1062,plain,
( nil = sk7
| sk7 = cons(skaf83(sk7),skaf82(sk7)) ),
inference(resolution,[],[f109,f242]) ).
fof(f3864,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk7
| tl(app(sk7,X0)) = app(tl(sk7),X0) ),
inference(resolution,[],[f133,f242]) ).
fof(f1785,plain,
( rearsegP(sk1,sk8)
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(subsumption_resolution,[],[f1779,f244]) ).
fof(f1779,plain,
( rearsegP(sk1,sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(superposition,[],[f1694,f512]) ).
fof(f4157,plain,
! [X0] :
( sk7 != app(sk7,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4156,f8]) ).
fof(f4156,plain,
! [X0] :
( sk7 != app(sk7,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3972,f242]) ).
fof(f3972,plain,
! [X0] :
( sk7 != app(sk7,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f150,f320]) ).
fof(f4231,plain,
! [X0] :
( app(nil,X0) != sk7
| ~ ssList(X0)
| sk7 = X0 ),
inference(subsumption_resolution,[],[f4230,f242]) ).
fof(f4230,plain,
! [X0] :
( app(nil,X0) != sk7
| ~ ssList(X0)
| sk7 = X0
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f4007,f8]) ).
fof(f4007,plain,
! [X0] :
( app(nil,X0) != sk7
| ~ ssList(X0)
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(sk7) ),
inference(superposition,[],[f150,f356]) ).
fof(f4240,plain,
! [X0] :
( sk1 != app(app(sk7,cons(sk6,nil)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| sk8 = X0 ),
inference(subsumption_resolution,[],[f4011,f244]) ).
fof(f4011,plain,
! [X0] :
( sk1 != app(app(sk7,cons(sk6,nil)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| sk8 = X0
| ~ ssList(sk8) ),
inference(superposition,[],[f150,f512]) ).
fof(f4312,plain,
! [X0] :
( sk7 != app(sk7,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4311,f242]) ).
fof(f4311,plain,
! [X0] :
( sk7 != app(sk7,X0)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4046,f8]) ).
fof(f4046,plain,
! [X0] :
( sk7 != app(sk7,X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f320]) ).
fof(f4386,plain,
! [X0] :
( app(nil,X0) != sk7
| sk7 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4385,f8]) ).
fof(f4385,plain,
! [X0] :
( app(nil,X0) != sk7
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4081,f242]) ).
fof(f4081,plain,
! [X0] :
( app(nil,X0) != sk7
| ~ ssList(sk7)
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f356]) ).
fof(f4395,plain,
! [X0] :
( sk1 != app(app(sk7,cons(sk6,nil)),X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| sk8 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4085,f244]) ).
fof(f4085,plain,
! [X0] :
( sk1 != app(app(sk7,cons(sk6,nil)),X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| sk8 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f512]) ).
fof(f4634,plain,
! [X0] :
( app(X0,nil) != sk7
| ~ ssList(X0)
| sk7 = X0 ),
inference(subsumption_resolution,[],[f4633,f242]) ).
fof(f4633,plain,
! [X0] :
( app(X0,nil) != sk7
| ~ ssList(X0)
| sk7 = X0
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f4445,f8]) ).
fof(f4445,plain,
! [X0] :
( app(X0,nil) != sk7
| ~ ssList(X0)
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(sk7) ),
inference(superposition,[],[f151,f320]) ).
fof(f4705,plain,
! [X0] :
( sk7 != app(X0,sk7)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4704,f8]) ).
fof(f4704,plain,
! [X0] :
( sk7 != app(X0,sk7)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4480,f242]) ).
fof(f4480,plain,
! [X0] :
( sk7 != app(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f151,f356]) ).
fof(f4713,plain,
! [X0] :
( sk1 != app(X0,sk8)
| ~ ssList(X0)
| app(sk7,cons(sk6,nil)) = X0
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(subsumption_resolution,[],[f4484,f244]) ).
fof(f4484,plain,
! [X0] :
( sk1 != app(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| app(sk7,cons(sk6,nil)) = X0
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(superposition,[],[f151,f512]) ).
fof(f4789,plain,
! [X0] :
( app(X0,nil) != sk7
| sk7 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4788,f8]) ).
fof(f4788,plain,
! [X0] :
( app(X0,nil) != sk7
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4519,f242]) ).
fof(f4519,plain,
! [X0] :
( app(X0,nil) != sk7
| ~ ssList(sk7)
| ~ ssList(nil)
| sk7 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f320]) ).
fof(f4860,plain,
! [X0] :
( sk7 != app(X0,sk7)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4859,f242]) ).
fof(f4859,plain,
! [X0] :
( sk7 != app(X0,sk7)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4554,f8]) ).
fof(f4554,plain,
! [X0] :
( sk7 != app(X0,sk7)
| ~ ssList(nil)
| ~ ssList(sk7)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f356]) ).
fof(f4868,plain,
! [X0] :
( sk1 != app(X0,sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| app(sk7,cons(sk6,nil)) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4558,f244]) ).
fof(f4558,plain,
! [X0] :
( sk1 != app(X0,sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(sk8)
| app(sk7,cons(sk6,nil)) = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f512]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f4930,plain,
! [X0] :
( frontsegP(cons(skaf83(sk1),X0),sk1)
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk1)) ),
inference(subsumption_resolution,[],[f4929,f12]) ).
fof(f4929,plain,
! [X0] :
( frontsegP(cons(skaf83(sk1),X0),sk1)
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(subsumption_resolution,[],[f4911,f13]) ).
fof(f4911,plain,
! [X0] :
( frontsegP(cons(skaf83(sk1),X0),sk1)
| ~ ssList(skaf82(sk1))
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[],[f227,f1065]) ).
fof(f4923,plain,
! [X0] :
( frontsegP(sk1,cons(skaf83(sk1),X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk1),X0) ),
inference(subsumption_resolution,[],[f4922,f12]) ).
fof(f4922,plain,
! [X0] :
( frontsegP(sk1,cons(skaf83(sk1),X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk1),X0)
| ~ ssItem(skaf83(sk1)) ),
inference(subsumption_resolution,[],[f4904,f13]) ).
fof(f4904,plain,
! [X0] :
( frontsegP(sk1,cons(skaf83(sk1),X0))
| ~ ssList(X0)
| ~ ssList(skaf82(sk1))
| ~ frontsegP(skaf82(sk1),X0)
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[],[f227,f1065]) ).
fof(f4918,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ frontsegP(cons(X2,X0),cons(X2,X1))
| cons(X2,X0) = cons(X2,X1) ),
inference(subsumption_resolution,[],[f4917,f86]) ).
fof(f4917,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X1))
| ~ frontsegP(cons(X2,X0),cons(X2,X1))
| cons(X2,X0) = cons(X2,X1) ),
inference(subsumption_resolution,[],[f4898,f86]) ).
fof(f4898,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ frontsegP(cons(X2,X0),cons(X2,X1))
| cons(X2,X0) = cons(X2,X1) ),
inference(resolution,[],[f227,f129]) ).
fof(f4916,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| cons(X2,X1) = app(cons(X2,X0),skaf45(cons(X2,X1),cons(X2,X0))) ),
inference(subsumption_resolution,[],[f4915,f86]) ).
fof(f4915,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X0))
| cons(X2,X1) = app(cons(X2,X0),skaf45(cons(X2,X1),cons(X2,X0))) ),
inference(subsumption_resolution,[],[f4897,f86]) ).
fof(f4897,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| cons(X2,X1) = app(cons(X2,X0),skaf45(cons(X2,X1),cons(X2,X0))) ),
inference(resolution,[],[f227,f132]) ).
fof(f4914,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ frontsegP(X3,cons(X2,X1))
| frontsegP(X3,cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4913,f86]) ).
fof(f4913,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X3,cons(X2,X1))
| frontsegP(X3,cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4896,f86]) ).
fof(f4896,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X3,cons(X2,X1))
| frontsegP(X3,cons(X2,X0)) ),
inference(resolution,[],[f227,f154]) ).
fof(f227,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,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(f4863,plain,
! [X0] :
( sk8 != app(X0,sk8)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4862,f244]) ).
fof(f4862,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4555,f8]) ).
fof(f4555,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ~ ssList(nil)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f357]) ).
fof(f4855,plain,
! [X0] :
( sk1 != app(X0,sk1)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4854,f186]) ).
fof(f4854,plain,
! [X0] :
( sk1 != app(X0,sk1)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4552,f8]) ).
fof(f4552,plain,
! [X0] :
( sk1 != app(X0,sk1)
| ~ ssList(nil)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f352]) ).
fof(f4849,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4848,f53]) ).
fof(f4848,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4549,f8]) ).
fof(f4549,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f351]) ).
fof(f4847,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4846,f52]) ).
fof(f4846,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4548,f8]) ).
fof(f4548,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f350]) ).
fof(f4843,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4842,f51]) ).
fof(f4842,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4545,f8]) ).
fof(f4545,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f349]) ).
fof(f4841,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4840,f50]) ).
fof(f4840,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4544,f8]) ).
fof(f4544,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f348]) ).
fof(f4839,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4838,f49]) ).
fof(f4838,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4543,f8]) ).
fof(f4543,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f347]) ).
fof(f4837,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4836,f48]) ).
fof(f4836,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4542,f8]) ).
fof(f4542,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f346]) ).
fof(f4835,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4834,f44]) ).
fof(f4834,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4541,f8]) ).
fof(f4541,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f345]) ).
fof(f4833,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4832,f43]) ).
fof(f4832,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4540,f8]) ).
fof(f4540,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f344]) ).
fof(f4831,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4830,f42]) ).
fof(f4830,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4539,f8]) ).
fof(f4539,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f343]) ).
fof(f4829,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4828,f39]) ).
fof(f4828,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4538,f8]) ).
fof(f4538,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f342]) ).
fof(f4827,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4826,f38]) ).
fof(f4826,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4537,f8]) ).
fof(f4537,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f341]) ).
fof(f4825,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4824,f37]) ).
fof(f4824,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4536,f8]) ).
fof(f4536,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f340]) ).
fof(f4823,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4822,f34]) ).
fof(f4822,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4535,f8]) ).
fof(f4535,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f339]) ).
fof(f4821,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4820,f33]) ).
fof(f4820,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4534,f8]) ).
fof(f4534,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f338]) ).
fof(f4819,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4818,f32]) ).
fof(f4818,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4533,f8]) ).
fof(f4533,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f337]) ).
fof(f4817,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4816,f29]) ).
fof(f4816,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4532,f8]) ).
fof(f4532,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f336]) ).
fof(f4815,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4814,f28]) ).
fof(f4814,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4531,f8]) ).
fof(f4531,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f335]) ).
fof(f4813,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4812,f27]) ).
fof(f4812,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4530,f8]) ).
fof(f4530,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f334]) ).
fof(f4811,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4810,f24]) ).
fof(f4810,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4529,f8]) ).
fof(f4529,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f333]) ).
fof(f4809,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4808,f23]) ).
fof(f4808,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4528,f8]) ).
fof(f4528,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f332]) ).
fof(f4807,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4806,f22]) ).
fof(f4806,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4527,f8]) ).
fof(f4527,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f331]) ).
fof(f4805,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4804,f20]) ).
fof(f4804,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4526,f8]) ).
fof(f4526,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f330]) ).
fof(f4803,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4802,f19]) ).
fof(f4802,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4525,f8]) ).
fof(f4525,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f329]) ).
fof(f4801,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4800,f18]) ).
fof(f4800,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4524,f8]) ).
fof(f4524,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f328]) ).
fof(f4799,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4798,f15]) ).
fof(f4798,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4523,f8]) ).
fof(f4523,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| ~ ssList(nil)
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f327]) ).
fof(f4797,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4796,f14]) ).
fof(f4796,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4522,f8]) ).
fof(f4522,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| ~ ssList(nil)
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f326]) ).
fof(f4795,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4794,f13]) ).
fof(f4794,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4521,f8]) ).
fof(f4521,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f325]) ).
fof(f4793,plain,
! [X0] :
( app(X0,nil) != sk8
| sk8 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4792,f8]) ).
fof(f4792,plain,
! [X0] :
( app(X0,nil) != sk8
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4520,f244]) ).
fof(f4520,plain,
! [X0] :
( app(X0,nil) != sk8
| ~ ssList(sk8)
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f321]) ).
fof(f4783,plain,
! [X0] :
( app(X0,nil) != sk1
| sk1 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4782,f8]) ).
fof(f4782,plain,
! [X0] :
( app(X0,nil) != sk1
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4517,f186]) ).
fof(f4517,plain,
! [X0] :
( app(X0,nil) != sk1
| ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f316]) ).
fof(f4777,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4776,f8]) ).
fof(f4776,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4514,f53]) ).
fof(f4514,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f315]) ).
fof(f4775,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4774,f8]) ).
fof(f4774,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4513,f52]) ).
fof(f4513,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f314]) ).
fof(f4773,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4772,f8]) ).
fof(f4772,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4512,f51]) ).
fof(f4512,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f313]) ).
fof(f4771,plain,
! [X0] :
( nil = X0
| nil != app(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4770,f2895]) ).
fof(f4770,plain,
! [X0] :
( nil != app(X0,nil)
| skaf46(nil,nil) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4769,f8]) ).
fof(f4769,plain,
! [X0] :
( nil != app(X0,nil)
| ~ ssList(nil)
| skaf46(nil,nil) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4511,f50]) ).
fof(f4511,plain,
! [X0] :
( nil != app(X0,nil)
| ~ ssList(skaf46(nil,nil))
| ~ ssList(nil)
| skaf46(nil,nil) = X0
| ~ ssList(X0) ),
inference(superposition,[],[f151,f2156]) ).
fof(f4765,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4764,f8]) ).
fof(f4764,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4509,f50]) ).
fof(f4509,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f312]) ).
fof(f4763,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4762,f8]) ).
fof(f4762,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4508,f49]) ).
fof(f4508,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f311]) ).
fof(f4761,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4760,f8]) ).
fof(f4760,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4507,f48]) ).
fof(f4507,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f151,f310]) ).
fof(f4759,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4758,f8]) ).
fof(f4758,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4506,f44]) ).
fof(f4506,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| ~ ssList(skaf51(X0))
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f309]) ).
fof(f4757,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4756,f8]) ).
fof(f4756,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4505,f43]) ).
fof(f4505,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| ~ ssList(skaf52(X0))
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f308]) ).
fof(f4755,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4754,f8]) ).
fof(f4754,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4504,f42]) ).
fof(f4504,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| ~ ssList(skaf53(X0))
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f307]) ).
fof(f4753,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4752,f8]) ).
fof(f4752,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4503,f39]) ).
fof(f4503,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| ~ ssList(skaf56(X0))
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f306]) ).
fof(f4751,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4750,f8]) ).
fof(f4750,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4502,f38]) ).
fof(f4502,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| ~ ssList(skaf57(X0))
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f305]) ).
fof(f4749,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4748,f8]) ).
fof(f4748,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4501,f37]) ).
fof(f4501,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| ~ ssList(skaf58(X0))
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f304]) ).
fof(f4747,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4746,f8]) ).
fof(f4746,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4500,f34]) ).
fof(f4500,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| ~ ssList(skaf61(X0))
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f303]) ).
fof(f4745,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4744,f8]) ).
fof(f4744,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4499,f33]) ).
fof(f4499,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| ~ ssList(skaf62(X0))
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f302]) ).
fof(f4743,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4742,f8]) ).
fof(f4742,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4498,f32]) ).
fof(f4498,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| ~ ssList(skaf63(X0))
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f301]) ).
fof(f4741,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4740,f8]) ).
fof(f4740,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4497,f29]) ).
fof(f4497,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| ~ ssList(skaf66(X0))
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f300]) ).
fof(f4739,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4738,f8]) ).
fof(f4738,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4496,f28]) ).
fof(f4496,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| ~ ssList(skaf67(X0))
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f299]) ).
fof(f4737,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4736,f8]) ).
fof(f4736,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4495,f27]) ).
fof(f4495,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| ~ ssList(skaf68(X0))
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f298]) ).
fof(f4735,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4734,f8]) ).
fof(f4734,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4494,f24]) ).
fof(f4494,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| ~ ssList(skaf71(X0))
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f297]) ).
fof(f4733,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4732,f8]) ).
fof(f4732,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4493,f23]) ).
fof(f4493,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| ~ ssList(skaf72(X0))
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f296]) ).
fof(f4731,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4730,f8]) ).
fof(f4730,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4492,f22]) ).
fof(f4492,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| ~ ssList(skaf73(X0))
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f295]) ).
fof(f4729,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4728,f8]) ).
fof(f4728,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4491,f20]) ).
fof(f4491,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| ~ ssList(skaf75(X0))
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f294]) ).
fof(f4727,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4726,f8]) ).
fof(f4726,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4490,f19]) ).
fof(f4490,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| ~ ssList(skaf76(X0))
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f293]) ).
fof(f4725,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4724,f8]) ).
fof(f4724,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4489,f18]) ).
fof(f4489,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| ~ ssList(skaf77(X0))
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f292]) ).
fof(f4723,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4722,f8]) ).
fof(f4722,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4488,f15]) ).
fof(f4488,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| ~ ssList(skaf80(X0))
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f291]) ).
fof(f4721,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4720,f8]) ).
fof(f4720,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4487,f14]) ).
fof(f4487,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| ~ ssList(skaf81(X0))
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f290]) ).
fof(f4719,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4718,f8]) ).
fof(f4718,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4486,f13]) ).
fof(f4486,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| ~ ssList(skaf82(X0))
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f151,f289]) ).
fof(f4708,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4707,f8]) ).
fof(f4707,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4481,f244]) ).
fof(f4481,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f151,f357]) ).
fof(f4700,plain,
! [X0] :
( sk1 != app(X0,sk1)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4699,f8]) ).
fof(f4699,plain,
! [X0] :
( sk1 != app(X0,sk1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4478,f186]) ).
fof(f4478,plain,
! [X0] :
( sk1 != app(X0,sk1)
| ~ ssList(X0)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f151,f352]) ).
fof(f4694,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4693,f8]) ).
fof(f4693,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4475,f53]) ).
fof(f4475,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f351]) ).
fof(f4692,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4691,f8]) ).
fof(f4691,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4474,f52]) ).
fof(f4474,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,skaf43(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f350]) ).
fof(f4688,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4687,f8]) ).
fof(f4687,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4471,f51]) ).
fof(f4471,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,skaf45(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f349]) ).
fof(f4686,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4685,f8]) ).
fof(f4685,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4470,f50]) ).
fof(f4470,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,skaf46(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f348]) ).
fof(f4684,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4683,f8]) ).
fof(f4683,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4469,f49]) ).
fof(f4469,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,skaf47(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f347]) ).
fof(f4682,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4681,f8]) ).
fof(f4681,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4468,f48]) ).
fof(f4468,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,skaf48(X0,X1))
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f151,f346]) ).
fof(f4680,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4679,f8]) ).
fof(f4679,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4467,f44]) ).
fof(f4467,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,skaf51(X0))
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f345]) ).
fof(f4678,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4677,f8]) ).
fof(f4677,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4466,f43]) ).
fof(f4466,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,skaf52(X0))
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f344]) ).
fof(f4676,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4675,f8]) ).
fof(f4675,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4465,f42]) ).
fof(f4465,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,skaf53(X0))
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f343]) ).
fof(f4674,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4673,f8]) ).
fof(f4673,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4464,f39]) ).
fof(f4464,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,skaf56(X0))
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f342]) ).
fof(f4672,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4671,f8]) ).
fof(f4671,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4463,f38]) ).
fof(f4463,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,skaf57(X0))
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f341]) ).
fof(f4670,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4669,f8]) ).
fof(f4669,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4462,f37]) ).
fof(f4462,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,skaf58(X0))
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f340]) ).
fof(f4668,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4667,f8]) ).
fof(f4667,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4461,f34]) ).
fof(f4461,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,skaf61(X0))
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f339]) ).
fof(f4666,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4665,f8]) ).
fof(f4665,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4460,f33]) ).
fof(f4460,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,skaf62(X0))
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f338]) ).
fof(f4664,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4663,f8]) ).
fof(f4663,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4459,f32]) ).
fof(f4459,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,skaf63(X0))
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f337]) ).
fof(f4662,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4661,f8]) ).
fof(f4661,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4458,f29]) ).
fof(f4458,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,skaf66(X0))
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f336]) ).
fof(f4660,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4659,f8]) ).
fof(f4659,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4457,f28]) ).
fof(f4457,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,skaf67(X0))
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f335]) ).
fof(f4658,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4657,f8]) ).
fof(f4657,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4456,f27]) ).
fof(f4456,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,skaf68(X0))
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f334]) ).
fof(f4656,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4655,f8]) ).
fof(f4655,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4455,f24]) ).
fof(f4455,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,skaf71(X0))
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f333]) ).
fof(f4654,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4653,f8]) ).
fof(f4653,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4454,f23]) ).
fof(f4454,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,skaf72(X0))
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f332]) ).
fof(f4652,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4651,f8]) ).
fof(f4651,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4453,f22]) ).
fof(f4453,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,skaf73(X0))
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f331]) ).
fof(f4650,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4649,f8]) ).
fof(f4649,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4452,f20]) ).
fof(f4452,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,skaf75(X0))
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f330]) ).
fof(f4648,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4647,f8]) ).
fof(f4647,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4451,f19]) ).
fof(f4451,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,skaf76(X0))
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f329]) ).
fof(f4646,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4645,f8]) ).
fof(f4645,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4450,f18]) ).
fof(f4450,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,skaf77(X0))
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f328]) ).
fof(f4644,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4643,f8]) ).
fof(f4643,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4449,f15]) ).
fof(f4449,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,skaf80(X0))
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f327]) ).
fof(f4642,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4641,f8]) ).
fof(f4641,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4448,f14]) ).
fof(f4448,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,skaf81(X0))
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f326]) ).
fof(f4640,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4639,f8]) ).
fof(f4639,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4447,f13]) ).
fof(f4447,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,skaf82(X0))
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f151,f325]) ).
fof(f4638,plain,
! [X0] :
( app(X0,nil) != sk8
| ~ ssList(X0)
| sk8 = X0 ),
inference(subsumption_resolution,[],[f4637,f244]) ).
fof(f4637,plain,
! [X0] :
( app(X0,nil) != sk8
| ~ ssList(X0)
| sk8 = X0
| ~ ssList(sk8) ),
inference(subsumption_resolution,[],[f4446,f8]) ).
fof(f4446,plain,
! [X0] :
( app(X0,nil) != sk8
| ~ ssList(X0)
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(sk8) ),
inference(superposition,[],[f151,f321]) ).
fof(f4628,plain,
! [X0] :
( app(X0,nil) != sk1
| ~ ssList(X0)
| sk1 = X0 ),
inference(subsumption_resolution,[],[f4627,f186]) ).
fof(f4627,plain,
! [X0] :
( app(X0,nil) != sk1
| ~ ssList(X0)
| sk1 = X0
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f4443,f8]) ).
fof(f4443,plain,
! [X0] :
( app(X0,nil) != sk1
| ~ ssList(X0)
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(sk1) ),
inference(superposition,[],[f151,f316]) ).
fof(f4622,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf42(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4621,f53]) ).
fof(f4621,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf42(X0,X1) = X2
| ~ ssList(skaf42(X0,X1)) ),
inference(subsumption_resolution,[],[f4440,f8]) ).
fof(f4440,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[],[f151,f315]) ).
fof(f4620,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf43(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4619,f52]) ).
fof(f4619,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf43(X0,X1) = X2
| ~ ssList(skaf43(X0,X1)) ),
inference(subsumption_resolution,[],[f4439,f8]) ).
fof(f4439,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[],[f151,f314]) ).
fof(f4618,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf45(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4617,f51]) ).
fof(f4617,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf45(X0,X1) = X2
| ~ ssList(skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f4438,f8]) ).
fof(f4438,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[],[f151,f313]) ).
fof(f4616,plain,
! [X0] :
( nil = X0
| nil != app(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4615,f2895]) ).
fof(f4615,plain,
! [X0] :
( nil != app(X0,nil)
| ~ ssList(X0)
| skaf46(nil,nil) = X0 ),
inference(subsumption_resolution,[],[f4614,f50]) ).
fof(f4614,plain,
! [X0] :
( nil != app(X0,nil)
| ~ ssList(X0)
| skaf46(nil,nil) = X0
| ~ ssList(skaf46(nil,nil)) ),
inference(subsumption_resolution,[],[f4437,f8]) ).
fof(f4437,plain,
! [X0] :
( nil != app(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| skaf46(nil,nil) = X0
| ~ ssList(skaf46(nil,nil)) ),
inference(superposition,[],[f151,f2156]) ).
fof(f4610,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf46(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4609,f50]) ).
fof(f4609,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf46(X0,X1) = X2
| ~ ssList(skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f4435,f8]) ).
fof(f4435,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[],[f151,f312]) ).
fof(f4608,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf47(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4607,f49]) ).
fof(f4607,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf47(X0,X1) = X2
| ~ ssList(skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f4434,f8]) ).
fof(f4434,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[],[f151,f311]) ).
fof(f4606,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf48(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4605,f48]) ).
fof(f4605,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| skaf48(X0,X1) = X2
| ~ ssList(skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f4433,f8]) ).
fof(f4433,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(X2,nil)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[],[f151,f310]) ).
fof(f4604,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf51(X0) = X1 ),
inference(subsumption_resolution,[],[f4603,f44]) ).
fof(f4603,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf51(X0) = X1
| ~ ssList(skaf51(X0)) ),
inference(subsumption_resolution,[],[f4432,f8]) ).
fof(f4432,plain,
! [X0,X1] :
( skaf51(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(skaf51(X0)) ),
inference(superposition,[],[f151,f309]) ).
fof(f4602,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf52(X0) = X1 ),
inference(subsumption_resolution,[],[f4601,f43]) ).
fof(f4601,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf52(X0) = X1
| ~ ssList(skaf52(X0)) ),
inference(subsumption_resolution,[],[f4431,f8]) ).
fof(f4431,plain,
! [X0,X1] :
( skaf52(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(skaf52(X0)) ),
inference(superposition,[],[f151,f308]) ).
fof(f4600,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf53(X0) = X1 ),
inference(subsumption_resolution,[],[f4599,f42]) ).
fof(f4599,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf53(X0) = X1
| ~ ssList(skaf53(X0)) ),
inference(subsumption_resolution,[],[f4430,f8]) ).
fof(f4430,plain,
! [X0,X1] :
( skaf53(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(skaf53(X0)) ),
inference(superposition,[],[f151,f307]) ).
fof(f4598,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf56(X0) = X1 ),
inference(subsumption_resolution,[],[f4597,f39]) ).
fof(f4597,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf56(X0) = X1
| ~ ssList(skaf56(X0)) ),
inference(subsumption_resolution,[],[f4429,f8]) ).
fof(f4429,plain,
! [X0,X1] :
( skaf56(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(skaf56(X0)) ),
inference(superposition,[],[f151,f306]) ).
fof(f4596,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf57(X0) = X1 ),
inference(subsumption_resolution,[],[f4595,f38]) ).
fof(f4595,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf57(X0) = X1
| ~ ssList(skaf57(X0)) ),
inference(subsumption_resolution,[],[f4428,f8]) ).
fof(f4428,plain,
! [X0,X1] :
( skaf57(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(skaf57(X0)) ),
inference(superposition,[],[f151,f305]) ).
fof(f4594,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf58(X0) = X1 ),
inference(subsumption_resolution,[],[f4593,f37]) ).
fof(f4593,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf58(X0) = X1
| ~ ssList(skaf58(X0)) ),
inference(subsumption_resolution,[],[f4427,f8]) ).
fof(f4427,plain,
! [X0,X1] :
( skaf58(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(skaf58(X0)) ),
inference(superposition,[],[f151,f304]) ).
fof(f4592,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf61(X0) = X1 ),
inference(subsumption_resolution,[],[f4591,f34]) ).
fof(f4591,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf61(X0) = X1
| ~ ssList(skaf61(X0)) ),
inference(subsumption_resolution,[],[f4426,f8]) ).
fof(f4426,plain,
! [X0,X1] :
( skaf61(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(skaf61(X0)) ),
inference(superposition,[],[f151,f303]) ).
fof(f4590,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf62(X0) = X1 ),
inference(subsumption_resolution,[],[f4589,f33]) ).
fof(f4589,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf62(X0) = X1
| ~ ssList(skaf62(X0)) ),
inference(subsumption_resolution,[],[f4425,f8]) ).
fof(f4425,plain,
! [X0,X1] :
( skaf62(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(skaf62(X0)) ),
inference(superposition,[],[f151,f302]) ).
fof(f4588,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf63(X0) = X1 ),
inference(subsumption_resolution,[],[f4587,f32]) ).
fof(f4587,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf63(X0) = X1
| ~ ssList(skaf63(X0)) ),
inference(subsumption_resolution,[],[f4424,f8]) ).
fof(f4424,plain,
! [X0,X1] :
( skaf63(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(skaf63(X0)) ),
inference(superposition,[],[f151,f301]) ).
fof(f4586,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf66(X0) = X1 ),
inference(subsumption_resolution,[],[f4585,f29]) ).
fof(f4585,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf66(X0) = X1
| ~ ssList(skaf66(X0)) ),
inference(subsumption_resolution,[],[f4423,f8]) ).
fof(f4423,plain,
! [X0,X1] :
( skaf66(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(skaf66(X0)) ),
inference(superposition,[],[f151,f300]) ).
fof(f4584,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf67(X0) = X1 ),
inference(subsumption_resolution,[],[f4583,f28]) ).
fof(f4583,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf67(X0) = X1
| ~ ssList(skaf67(X0)) ),
inference(subsumption_resolution,[],[f4422,f8]) ).
fof(f4422,plain,
! [X0,X1] :
( skaf67(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(skaf67(X0)) ),
inference(superposition,[],[f151,f299]) ).
fof(f4582,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf68(X0) = X1 ),
inference(subsumption_resolution,[],[f4581,f27]) ).
fof(f4581,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf68(X0) = X1
| ~ ssList(skaf68(X0)) ),
inference(subsumption_resolution,[],[f4421,f8]) ).
fof(f4421,plain,
! [X0,X1] :
( skaf68(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(skaf68(X0)) ),
inference(superposition,[],[f151,f298]) ).
fof(f4580,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf71(X0) = X1 ),
inference(subsumption_resolution,[],[f4579,f24]) ).
fof(f4579,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf71(X0) = X1
| ~ ssList(skaf71(X0)) ),
inference(subsumption_resolution,[],[f4420,f8]) ).
fof(f4420,plain,
! [X0,X1] :
( skaf71(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(skaf71(X0)) ),
inference(superposition,[],[f151,f297]) ).
fof(f4578,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf72(X0) = X1 ),
inference(subsumption_resolution,[],[f4577,f23]) ).
fof(f4577,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf72(X0) = X1
| ~ ssList(skaf72(X0)) ),
inference(subsumption_resolution,[],[f4419,f8]) ).
fof(f4419,plain,
! [X0,X1] :
( skaf72(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(skaf72(X0)) ),
inference(superposition,[],[f151,f296]) ).
fof(f4576,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf73(X0) = X1 ),
inference(subsumption_resolution,[],[f4575,f22]) ).
fof(f4575,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf73(X0) = X1
| ~ ssList(skaf73(X0)) ),
inference(subsumption_resolution,[],[f4418,f8]) ).
fof(f4418,plain,
! [X0,X1] :
( skaf73(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(skaf73(X0)) ),
inference(superposition,[],[f151,f295]) ).
fof(f4574,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf75(X0) = X1 ),
inference(subsumption_resolution,[],[f4573,f20]) ).
fof(f4573,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf75(X0) = X1
| ~ ssList(skaf75(X0)) ),
inference(subsumption_resolution,[],[f4417,f8]) ).
fof(f4417,plain,
! [X0,X1] :
( skaf75(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(skaf75(X0)) ),
inference(superposition,[],[f151,f294]) ).
fof(f4572,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf76(X0) = X1 ),
inference(subsumption_resolution,[],[f4571,f19]) ).
fof(f4571,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf76(X0) = X1
| ~ ssList(skaf76(X0)) ),
inference(subsumption_resolution,[],[f4416,f8]) ).
fof(f4416,plain,
! [X0,X1] :
( skaf76(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(skaf76(X0)) ),
inference(superposition,[],[f151,f293]) ).
fof(f4570,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf77(X0) = X1 ),
inference(subsumption_resolution,[],[f4569,f18]) ).
fof(f4569,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf77(X0) = X1
| ~ ssList(skaf77(X0)) ),
inference(subsumption_resolution,[],[f4415,f8]) ).
fof(f4415,plain,
! [X0,X1] :
( skaf77(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(skaf77(X0)) ),
inference(superposition,[],[f151,f292]) ).
fof(f4568,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf80(X0) = X1 ),
inference(subsumption_resolution,[],[f4567,f15]) ).
fof(f4567,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf80(X0) = X1
| ~ ssList(skaf80(X0)) ),
inference(subsumption_resolution,[],[f4414,f8]) ).
fof(f4414,plain,
! [X0,X1] :
( skaf80(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f151,f291]) ).
fof(f4566,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf81(X0) = X1 ),
inference(subsumption_resolution,[],[f4565,f14]) ).
fof(f4565,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf81(X0) = X1
| ~ ssList(skaf81(X0)) ),
inference(subsumption_resolution,[],[f4413,f8]) ).
fof(f4413,plain,
! [X0,X1] :
( skaf81(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f151,f290]) ).
fof(f4564,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf82(X0) = X1 ),
inference(subsumption_resolution,[],[f4563,f13]) ).
fof(f4563,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| ~ ssList(X1)
| skaf82(X0) = X1
| ~ ssList(skaf82(X0)) ),
inference(subsumption_resolution,[],[f4412,f8]) ).
fof(f4412,plain,
! [X0,X1] :
( skaf82(X0) != app(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f151,f289]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f4390,plain,
! [X0] :
( app(nil,X0) != sk8
| sk8 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4389,f8]) ).
fof(f4389,plain,
! [X0] :
( app(nil,X0) != sk8
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4082,f244]) ).
fof(f4082,plain,
! [X0] :
( app(nil,X0) != sk8
| ~ ssList(sk8)
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f357]) ).
fof(f4380,plain,
! [X0] :
( app(nil,X0) != sk1
| sk1 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4379,f8]) ).
fof(f4379,plain,
! [X0] :
( app(nil,X0) != sk1
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4079,f186]) ).
fof(f4079,plain,
! [X0] :
( app(nil,X0) != sk1
| ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f352]) ).
fof(f4374,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4373,f8]) ).
fof(f4373,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4076,f53]) ).
fof(f4076,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f351]) ).
fof(f4372,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4371,f8]) ).
fof(f4371,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4075,f52]) ).
fof(f4075,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f350]) ).
fof(f4368,plain,
! [X0] :
( nil = X0
| nil != app(nil,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4367,f3001]) ).
fof(f4367,plain,
! [X0] :
( nil != app(nil,X0)
| skaf45(nil,nil) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4366,f8]) ).
fof(f4366,plain,
! [X0] :
( nil != app(nil,X0)
| ~ ssList(nil)
| skaf45(nil,nil) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4073,f51]) ).
fof(f4073,plain,
! [X0] :
( nil != app(nil,X0)
| ~ ssList(skaf45(nil,nil))
| ~ ssList(nil)
| skaf45(nil,nil) = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f2199]) ).
fof(f4365,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4364,f8]) ).
fof(f4364,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4072,f51]) ).
fof(f4072,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f349]) ).
fof(f4363,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4362,f8]) ).
fof(f4362,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4071,f50]) ).
fof(f4071,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f348]) ).
fof(f4361,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4360,f8]) ).
fof(f4360,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4070,f49]) ).
fof(f4070,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f347]) ).
fof(f4359,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4358,f8]) ).
fof(f4358,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4069,f48]) ).
fof(f4069,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f346]) ).
fof(f4357,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4356,f8]) ).
fof(f4356,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4068,f44]) ).
fof(f4068,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| ~ ssList(skaf51(X0))
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f345]) ).
fof(f4355,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4354,f8]) ).
fof(f4354,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4067,f43]) ).
fof(f4067,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| ~ ssList(skaf52(X0))
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f344]) ).
fof(f4353,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4352,f8]) ).
fof(f4352,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4066,f42]) ).
fof(f4066,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| ~ ssList(skaf53(X0))
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f343]) ).
fof(f4351,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4350,f8]) ).
fof(f4350,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4065,f39]) ).
fof(f4065,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| ~ ssList(skaf56(X0))
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f342]) ).
fof(f4349,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4348,f8]) ).
fof(f4348,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4064,f38]) ).
fof(f4064,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| ~ ssList(skaf57(X0))
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f341]) ).
fof(f4347,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4346,f8]) ).
fof(f4346,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4063,f37]) ).
fof(f4063,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| ~ ssList(skaf58(X0))
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f340]) ).
fof(f4345,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4344,f8]) ).
fof(f4344,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4062,f34]) ).
fof(f4062,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| ~ ssList(skaf61(X0))
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f339]) ).
fof(f4343,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4342,f8]) ).
fof(f4342,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4061,f33]) ).
fof(f4061,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| ~ ssList(skaf62(X0))
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f338]) ).
fof(f4341,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4340,f8]) ).
fof(f4340,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4060,f32]) ).
fof(f4060,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| ~ ssList(skaf63(X0))
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f337]) ).
fof(f4339,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4338,f8]) ).
fof(f4338,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4059,f29]) ).
fof(f4059,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| ~ ssList(skaf66(X0))
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f336]) ).
fof(f4337,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4336,f8]) ).
fof(f4336,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4058,f28]) ).
fof(f4058,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| ~ ssList(skaf67(X0))
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f335]) ).
fof(f4335,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4334,f8]) ).
fof(f4334,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4057,f27]) ).
fof(f4057,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| ~ ssList(skaf68(X0))
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f334]) ).
fof(f4333,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4332,f8]) ).
fof(f4332,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4056,f24]) ).
fof(f4056,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| ~ ssList(skaf71(X0))
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f333]) ).
fof(f4331,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4330,f8]) ).
fof(f4330,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4055,f23]) ).
fof(f4055,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| ~ ssList(skaf72(X0))
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f332]) ).
fof(f4329,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4328,f8]) ).
fof(f4328,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4054,f22]) ).
fof(f4054,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| ~ ssList(skaf73(X0))
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f331]) ).
fof(f4327,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4326,f8]) ).
fof(f4326,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4053,f20]) ).
fof(f4053,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| ~ ssList(skaf75(X0))
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f330]) ).
fof(f4325,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4324,f8]) ).
fof(f4324,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4052,f19]) ).
fof(f4052,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| ~ ssList(skaf76(X0))
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f329]) ).
fof(f4323,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4322,f8]) ).
fof(f4322,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4051,f18]) ).
fof(f4051,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| ~ ssList(skaf77(X0))
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f328]) ).
fof(f4321,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4320,f8]) ).
fof(f4320,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4050,f15]) ).
fof(f4050,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| ~ ssList(skaf80(X0))
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f327]) ).
fof(f4319,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4318,f8]) ).
fof(f4318,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4049,f14]) ).
fof(f4049,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| ~ ssList(skaf81(X0))
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f326]) ).
fof(f4317,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4316,f8]) ).
fof(f4316,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4048,f13]) ).
fof(f4048,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| ~ ssList(skaf82(X0))
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f325]) ).
fof(f4315,plain,
! [X0] :
( sk8 != app(sk8,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4314,f244]) ).
fof(f4314,plain,
! [X0] :
( sk8 != app(sk8,X0)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4047,f8]) ).
fof(f4047,plain,
! [X0] :
( sk8 != app(sk8,X0)
| ~ ssList(nil)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f321]) ).
fof(f4307,plain,
! [X0] :
( sk1 != app(sk1,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4306,f186]) ).
fof(f4306,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4044,f8]) ).
fof(f4044,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(nil)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f150,f316]) ).
fof(f4301,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4300,f53]) ).
fof(f4300,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4041,f8]) ).
fof(f4041,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f315]) ).
fof(f4299,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4298,f52]) ).
fof(f4298,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4040,f8]) ).
fof(f4040,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f314]) ).
fof(f4297,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4296,f51]) ).
fof(f4296,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4039,f8]) ).
fof(f4039,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f313]) ).
fof(f4292,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4291,f50]) ).
fof(f4291,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4036,f8]) ).
fof(f4036,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f312]) ).
fof(f4290,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4289,f49]) ).
fof(f4289,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4035,f8]) ).
fof(f4035,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f311]) ).
fof(f4288,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4287,f48]) ).
fof(f4287,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f4034,f8]) ).
fof(f4034,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f310]) ).
fof(f4286,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4285,f44]) ).
fof(f4285,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4033,f8]) ).
fof(f4033,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f309]) ).
fof(f4284,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4283,f43]) ).
fof(f4283,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4032,f8]) ).
fof(f4032,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f308]) ).
fof(f4282,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4281,f42]) ).
fof(f4281,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4031,f8]) ).
fof(f4031,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f307]) ).
fof(f4280,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4279,f39]) ).
fof(f4279,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4030,f8]) ).
fof(f4030,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f306]) ).
fof(f4278,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4277,f38]) ).
fof(f4277,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4029,f8]) ).
fof(f4029,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f305]) ).
fof(f4276,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4275,f37]) ).
fof(f4275,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4028,f8]) ).
fof(f4028,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f304]) ).
fof(f4274,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4273,f34]) ).
fof(f4273,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4027,f8]) ).
fof(f4027,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f303]) ).
fof(f4272,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4271,f33]) ).
fof(f4271,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4026,f8]) ).
fof(f4026,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f302]) ).
fof(f4270,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4269,f32]) ).
fof(f4269,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4025,f8]) ).
fof(f4025,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f301]) ).
fof(f4268,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4267,f29]) ).
fof(f4267,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4024,f8]) ).
fof(f4024,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f300]) ).
fof(f4266,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4265,f28]) ).
fof(f4265,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4023,f8]) ).
fof(f4023,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f299]) ).
fof(f4264,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4263,f27]) ).
fof(f4263,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4022,f8]) ).
fof(f4022,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f298]) ).
fof(f4262,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4261,f24]) ).
fof(f4261,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4021,f8]) ).
fof(f4021,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f297]) ).
fof(f4260,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4259,f23]) ).
fof(f4259,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4020,f8]) ).
fof(f4020,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f296]) ).
fof(f4258,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4257,f22]) ).
fof(f4257,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4019,f8]) ).
fof(f4019,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f295]) ).
fof(f4256,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4255,f20]) ).
fof(f4255,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4018,f8]) ).
fof(f4018,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f294]) ).
fof(f4254,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4253,f19]) ).
fof(f4253,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4017,f8]) ).
fof(f4017,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f293]) ).
fof(f4252,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4251,f18]) ).
fof(f4251,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4016,f8]) ).
fof(f4016,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f292]) ).
fof(f4250,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4249,f15]) ).
fof(f4249,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4015,f8]) ).
fof(f4015,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f291]) ).
fof(f4248,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4247,f14]) ).
fof(f4247,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4014,f8]) ).
fof(f4014,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f290]) ).
fof(f4246,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4245,f13]) ).
fof(f4245,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f4013,f8]) ).
fof(f4013,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f150,f289]) ).
fof(f4235,plain,
! [X0] :
( app(nil,X0) != sk8
| ~ ssList(X0)
| sk8 = X0 ),
inference(subsumption_resolution,[],[f4234,f244]) ).
fof(f4234,plain,
! [X0] :
( app(nil,X0) != sk8
| ~ ssList(X0)
| sk8 = X0
| ~ ssList(sk8) ),
inference(subsumption_resolution,[],[f4008,f8]) ).
fof(f4008,plain,
! [X0] :
( app(nil,X0) != sk8
| ~ ssList(X0)
| ~ ssList(nil)
| sk8 = X0
| ~ ssList(sk8) ),
inference(superposition,[],[f150,f357]) ).
fof(f4225,plain,
! [X0] :
( app(nil,X0) != sk1
| ~ ssList(X0)
| sk1 = X0 ),
inference(subsumption_resolution,[],[f4224,f186]) ).
fof(f4224,plain,
! [X0] :
( app(nil,X0) != sk1
| ~ ssList(X0)
| sk1 = X0
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f4005,f8]) ).
fof(f4005,plain,
! [X0] :
( app(nil,X0) != sk1
| ~ ssList(X0)
| ~ ssList(nil)
| sk1 = X0
| ~ ssList(sk1) ),
inference(superposition,[],[f150,f352]) ).
fof(f4219,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf42(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4218,f53]) ).
fof(f4218,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf42(X0,X1) = X2
| ~ ssList(skaf42(X0,X1)) ),
inference(subsumption_resolution,[],[f4002,f8]) ).
fof(f4002,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf42(X0,X1) = X2
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[],[f150,f351]) ).
fof(f4217,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf43(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4216,f52]) ).
fof(f4216,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf43(X0,X1) = X2
| ~ ssList(skaf43(X0,X1)) ),
inference(subsumption_resolution,[],[f4001,f8]) ).
fof(f4001,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf43(X0,X1) = X2
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[],[f150,f350]) ).
fof(f4213,plain,
! [X0] :
( nil = X0
| nil != app(nil,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4212,f3001]) ).
fof(f4212,plain,
! [X0] :
( nil != app(nil,X0)
| ~ ssList(X0)
| skaf45(nil,nil) = X0 ),
inference(subsumption_resolution,[],[f4211,f51]) ).
fof(f4211,plain,
! [X0] :
( nil != app(nil,X0)
| ~ ssList(X0)
| skaf45(nil,nil) = X0
| ~ ssList(skaf45(nil,nil)) ),
inference(subsumption_resolution,[],[f3999,f8]) ).
fof(f3999,plain,
! [X0] :
( nil != app(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| skaf45(nil,nil) = X0
| ~ ssList(skaf45(nil,nil)) ),
inference(superposition,[],[f150,f2199]) ).
fof(f4210,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf45(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4209,f51]) ).
fof(f4209,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf45(X0,X1) = X2
| ~ ssList(skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f3998,f8]) ).
fof(f3998,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf45(X0,X1) = X2
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[],[f150,f349]) ).
fof(f4208,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf46(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4207,f50]) ).
fof(f4207,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf46(X0,X1) = X2
| ~ ssList(skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f3997,f8]) ).
fof(f3997,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf46(X0,X1) = X2
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[],[f150,f348]) ).
fof(f4206,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf47(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4205,f49]) ).
fof(f4205,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf47(X0,X1) = X2
| ~ ssList(skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f3996,f8]) ).
fof(f3996,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf47(X0,X1) = X2
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[],[f150,f347]) ).
fof(f4204,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf48(X0,X1) = X2 ),
inference(subsumption_resolution,[],[f4203,f48]) ).
fof(f4203,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| skaf48(X0,X1) = X2
| ~ ssList(skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f3995,f8]) ).
fof(f3995,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| skaf48(X0,X1) = X2
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[],[f150,f346]) ).
fof(f4202,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf51(X0) = X1 ),
inference(subsumption_resolution,[],[f4201,f44]) ).
fof(f4201,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf51(X0) = X1
| ~ ssList(skaf51(X0)) ),
inference(subsumption_resolution,[],[f3994,f8]) ).
fof(f3994,plain,
! [X0,X1] :
( skaf51(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf51(X0) = X1
| ~ ssList(skaf51(X0)) ),
inference(superposition,[],[f150,f345]) ).
fof(f4200,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf52(X0) = X1 ),
inference(subsumption_resolution,[],[f4199,f43]) ).
fof(f4199,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf52(X0) = X1
| ~ ssList(skaf52(X0)) ),
inference(subsumption_resolution,[],[f3993,f8]) ).
fof(f3993,plain,
! [X0,X1] :
( skaf52(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf52(X0) = X1
| ~ ssList(skaf52(X0)) ),
inference(superposition,[],[f150,f344]) ).
fof(f4198,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf53(X0) = X1 ),
inference(subsumption_resolution,[],[f4197,f42]) ).
fof(f4197,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf53(X0) = X1
| ~ ssList(skaf53(X0)) ),
inference(subsumption_resolution,[],[f3992,f8]) ).
fof(f3992,plain,
! [X0,X1] :
( skaf53(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf53(X0) = X1
| ~ ssList(skaf53(X0)) ),
inference(superposition,[],[f150,f343]) ).
fof(f4196,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf56(X0) = X1 ),
inference(subsumption_resolution,[],[f4195,f39]) ).
fof(f4195,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf56(X0) = X1
| ~ ssList(skaf56(X0)) ),
inference(subsumption_resolution,[],[f3991,f8]) ).
fof(f3991,plain,
! [X0,X1] :
( skaf56(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf56(X0) = X1
| ~ ssList(skaf56(X0)) ),
inference(superposition,[],[f150,f342]) ).
fof(f4194,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf57(X0) = X1 ),
inference(subsumption_resolution,[],[f4193,f38]) ).
fof(f4193,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf57(X0) = X1
| ~ ssList(skaf57(X0)) ),
inference(subsumption_resolution,[],[f3990,f8]) ).
fof(f3990,plain,
! [X0,X1] :
( skaf57(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf57(X0) = X1
| ~ ssList(skaf57(X0)) ),
inference(superposition,[],[f150,f341]) ).
fof(f4192,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf58(X0) = X1 ),
inference(subsumption_resolution,[],[f4191,f37]) ).
fof(f4191,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf58(X0) = X1
| ~ ssList(skaf58(X0)) ),
inference(subsumption_resolution,[],[f3989,f8]) ).
fof(f3989,plain,
! [X0,X1] :
( skaf58(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf58(X0) = X1
| ~ ssList(skaf58(X0)) ),
inference(superposition,[],[f150,f340]) ).
fof(f4190,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf61(X0) = X1 ),
inference(subsumption_resolution,[],[f4189,f34]) ).
fof(f4189,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf61(X0) = X1
| ~ ssList(skaf61(X0)) ),
inference(subsumption_resolution,[],[f3988,f8]) ).
fof(f3988,plain,
! [X0,X1] :
( skaf61(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf61(X0) = X1
| ~ ssList(skaf61(X0)) ),
inference(superposition,[],[f150,f339]) ).
fof(f4188,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf62(X0) = X1 ),
inference(subsumption_resolution,[],[f4187,f33]) ).
fof(f4187,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf62(X0) = X1
| ~ ssList(skaf62(X0)) ),
inference(subsumption_resolution,[],[f3987,f8]) ).
fof(f3987,plain,
! [X0,X1] :
( skaf62(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf62(X0) = X1
| ~ ssList(skaf62(X0)) ),
inference(superposition,[],[f150,f338]) ).
fof(f4186,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf63(X0) = X1 ),
inference(subsumption_resolution,[],[f4185,f32]) ).
fof(f4185,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf63(X0) = X1
| ~ ssList(skaf63(X0)) ),
inference(subsumption_resolution,[],[f3986,f8]) ).
fof(f3986,plain,
! [X0,X1] :
( skaf63(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf63(X0) = X1
| ~ ssList(skaf63(X0)) ),
inference(superposition,[],[f150,f337]) ).
fof(f4184,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf66(X0) = X1 ),
inference(subsumption_resolution,[],[f4183,f29]) ).
fof(f4183,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf66(X0) = X1
| ~ ssList(skaf66(X0)) ),
inference(subsumption_resolution,[],[f3985,f8]) ).
fof(f3985,plain,
! [X0,X1] :
( skaf66(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf66(X0) = X1
| ~ ssList(skaf66(X0)) ),
inference(superposition,[],[f150,f336]) ).
fof(f4182,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf67(X0) = X1 ),
inference(subsumption_resolution,[],[f4181,f28]) ).
fof(f4181,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf67(X0) = X1
| ~ ssList(skaf67(X0)) ),
inference(subsumption_resolution,[],[f3984,f8]) ).
fof(f3984,plain,
! [X0,X1] :
( skaf67(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf67(X0) = X1
| ~ ssList(skaf67(X0)) ),
inference(superposition,[],[f150,f335]) ).
fof(f4180,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf68(X0) = X1 ),
inference(subsumption_resolution,[],[f4179,f27]) ).
fof(f4179,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf68(X0) = X1
| ~ ssList(skaf68(X0)) ),
inference(subsumption_resolution,[],[f3983,f8]) ).
fof(f3983,plain,
! [X0,X1] :
( skaf68(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf68(X0) = X1
| ~ ssList(skaf68(X0)) ),
inference(superposition,[],[f150,f334]) ).
fof(f4178,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf71(X0) = X1 ),
inference(subsumption_resolution,[],[f4177,f24]) ).
fof(f4177,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf71(X0) = X1
| ~ ssList(skaf71(X0)) ),
inference(subsumption_resolution,[],[f3982,f8]) ).
fof(f3982,plain,
! [X0,X1] :
( skaf71(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf71(X0) = X1
| ~ ssList(skaf71(X0)) ),
inference(superposition,[],[f150,f333]) ).
fof(f4176,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf72(X0) = X1 ),
inference(subsumption_resolution,[],[f4175,f23]) ).
fof(f4175,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf72(X0) = X1
| ~ ssList(skaf72(X0)) ),
inference(subsumption_resolution,[],[f3981,f8]) ).
fof(f3981,plain,
! [X0,X1] :
( skaf72(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf72(X0) = X1
| ~ ssList(skaf72(X0)) ),
inference(superposition,[],[f150,f332]) ).
fof(f4174,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf73(X0) = X1 ),
inference(subsumption_resolution,[],[f4173,f22]) ).
fof(f4173,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf73(X0) = X1
| ~ ssList(skaf73(X0)) ),
inference(subsumption_resolution,[],[f3980,f8]) ).
fof(f3980,plain,
! [X0,X1] :
( skaf73(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf73(X0) = X1
| ~ ssList(skaf73(X0)) ),
inference(superposition,[],[f150,f331]) ).
fof(f4172,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf75(X0) = X1 ),
inference(subsumption_resolution,[],[f4171,f20]) ).
fof(f4171,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf75(X0) = X1
| ~ ssList(skaf75(X0)) ),
inference(subsumption_resolution,[],[f3979,f8]) ).
fof(f3979,plain,
! [X0,X1] :
( skaf75(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf75(X0) = X1
| ~ ssList(skaf75(X0)) ),
inference(superposition,[],[f150,f330]) ).
fof(f4170,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf76(X0) = X1 ),
inference(subsumption_resolution,[],[f4169,f19]) ).
fof(f4169,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf76(X0) = X1
| ~ ssList(skaf76(X0)) ),
inference(subsumption_resolution,[],[f3978,f8]) ).
fof(f3978,plain,
! [X0,X1] :
( skaf76(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf76(X0) = X1
| ~ ssList(skaf76(X0)) ),
inference(superposition,[],[f150,f329]) ).
fof(f4168,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf77(X0) = X1 ),
inference(subsumption_resolution,[],[f4167,f18]) ).
fof(f4167,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf77(X0) = X1
| ~ ssList(skaf77(X0)) ),
inference(subsumption_resolution,[],[f3977,f8]) ).
fof(f3977,plain,
! [X0,X1] :
( skaf77(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf77(X0) = X1
| ~ ssList(skaf77(X0)) ),
inference(superposition,[],[f150,f328]) ).
fof(f4166,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf80(X0) = X1 ),
inference(subsumption_resolution,[],[f4165,f15]) ).
fof(f4165,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf80(X0) = X1
| ~ ssList(skaf80(X0)) ),
inference(subsumption_resolution,[],[f3976,f8]) ).
fof(f3976,plain,
! [X0,X1] :
( skaf80(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf80(X0) = X1
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f150,f327]) ).
fof(f4164,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf81(X0) = X1 ),
inference(subsumption_resolution,[],[f4163,f14]) ).
fof(f4163,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf81(X0) = X1
| ~ ssList(skaf81(X0)) ),
inference(subsumption_resolution,[],[f3975,f8]) ).
fof(f3975,plain,
! [X0,X1] :
( skaf81(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf81(X0) = X1
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f150,f326]) ).
fof(f4162,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf82(X0) = X1 ),
inference(subsumption_resolution,[],[f4161,f13]) ).
fof(f4161,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| ~ ssList(X1)
| skaf82(X0) = X1
| ~ ssList(skaf82(X0)) ),
inference(subsumption_resolution,[],[f3974,f8]) ).
fof(f3974,plain,
! [X0,X1] :
( skaf82(X0) != app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| skaf82(X0) = X1
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f150,f325]) ).
fof(f4160,plain,
! [X0] :
( sk8 != app(sk8,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4159,f8]) ).
fof(f4159,plain,
! [X0] :
( sk8 != app(sk8,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3973,f244]) ).
fof(f3973,plain,
! [X0] :
( sk8 != app(sk8,X0)
| ~ ssList(X0)
| ~ ssList(sk8)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f150,f321]) ).
fof(f4152,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f4151,f8]) ).
fof(f4151,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3970,f186]) ).
fof(f3970,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(X0)
| ~ ssList(sk1)
| nil = X0
| ~ ssList(nil) ),
inference(superposition,[],[f150,f316]) ).
fof(f4146,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4145,f8]) ).
fof(f4145,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3967,f53]) ).
fof(f3967,plain,
! [X2,X0,X1] :
( skaf42(X0,X1) != app(skaf42(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f315]) ).
fof(f4144,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4143,f8]) ).
fof(f4143,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3966,f52]) ).
fof(f3966,plain,
! [X2,X0,X1] :
( skaf43(X0,X1) != app(skaf43(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f314]) ).
fof(f4142,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4141,f8]) ).
fof(f4141,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3965,f51]) ).
fof(f3965,plain,
! [X2,X0,X1] :
( skaf45(X0,X1) != app(skaf45(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f313]) ).
fof(f4137,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4136,f8]) ).
fof(f4136,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3962,f50]) ).
fof(f3962,plain,
! [X2,X0,X1] :
( skaf46(X0,X1) != app(skaf46(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f312]) ).
fof(f4135,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4134,f8]) ).
fof(f4134,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3961,f49]) ).
fof(f3961,plain,
! [X2,X0,X1] :
( skaf47(X0,X1) != app(skaf47(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f311]) ).
fof(f4133,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| ~ ssList(X2)
| nil = X2 ),
inference(subsumption_resolution,[],[f4132,f8]) ).
fof(f4132,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| ~ ssList(X2)
| nil = X2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3960,f48]) ).
fof(f3960,plain,
! [X2,X0,X1] :
( skaf48(X0,X1) != app(skaf48(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| nil = X2
| ~ ssList(nil) ),
inference(superposition,[],[f150,f310]) ).
fof(f4131,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4130,f8]) ).
fof(f4130,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3959,f44]) ).
fof(f3959,plain,
! [X0,X1] :
( skaf51(X0) != app(skaf51(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f309]) ).
fof(f4129,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4128,f8]) ).
fof(f4128,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3958,f43]) ).
fof(f3958,plain,
! [X0,X1] :
( skaf52(X0) != app(skaf52(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f308]) ).
fof(f4127,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4126,f8]) ).
fof(f4126,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3957,f42]) ).
fof(f3957,plain,
! [X0,X1] :
( skaf53(X0) != app(skaf53(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f307]) ).
fof(f4125,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4124,f8]) ).
fof(f4124,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3956,f39]) ).
fof(f3956,plain,
! [X0,X1] :
( skaf56(X0) != app(skaf56(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f306]) ).
fof(f4123,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4122,f8]) ).
fof(f4122,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3955,f38]) ).
fof(f3955,plain,
! [X0,X1] :
( skaf57(X0) != app(skaf57(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f305]) ).
fof(f4121,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4120,f8]) ).
fof(f4120,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3954,f37]) ).
fof(f3954,plain,
! [X0,X1] :
( skaf58(X0) != app(skaf58(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f304]) ).
fof(f4119,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4118,f8]) ).
fof(f4118,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3953,f34]) ).
fof(f3953,plain,
! [X0,X1] :
( skaf61(X0) != app(skaf61(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f303]) ).
fof(f4117,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4116,f8]) ).
fof(f4116,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3952,f33]) ).
fof(f3952,plain,
! [X0,X1] :
( skaf62(X0) != app(skaf62(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f302]) ).
fof(f4115,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4114,f8]) ).
fof(f4114,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3951,f32]) ).
fof(f3951,plain,
! [X0,X1] :
( skaf63(X0) != app(skaf63(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f301]) ).
fof(f4113,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4112,f8]) ).
fof(f4112,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3950,f29]) ).
fof(f3950,plain,
! [X0,X1] :
( skaf66(X0) != app(skaf66(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f300]) ).
fof(f4111,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4110,f8]) ).
fof(f4110,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3949,f28]) ).
fof(f3949,plain,
! [X0,X1] :
( skaf67(X0) != app(skaf67(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f299]) ).
fof(f4109,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4108,f8]) ).
fof(f4108,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3948,f27]) ).
fof(f3948,plain,
! [X0,X1] :
( skaf68(X0) != app(skaf68(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f298]) ).
fof(f4107,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4106,f8]) ).
fof(f4106,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3947,f24]) ).
fof(f3947,plain,
! [X0,X1] :
( skaf71(X0) != app(skaf71(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f297]) ).
fof(f4105,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4104,f8]) ).
fof(f4104,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3946,f23]) ).
fof(f3946,plain,
! [X0,X1] :
( skaf72(X0) != app(skaf72(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f296]) ).
fof(f4103,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4102,f8]) ).
fof(f4102,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3945,f22]) ).
fof(f3945,plain,
! [X0,X1] :
( skaf73(X0) != app(skaf73(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f295]) ).
fof(f4101,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4100,f8]) ).
fof(f4100,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3944,f20]) ).
fof(f3944,plain,
! [X0,X1] :
( skaf75(X0) != app(skaf75(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f294]) ).
fof(f4099,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4098,f8]) ).
fof(f4098,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3943,f19]) ).
fof(f3943,plain,
! [X0,X1] :
( skaf76(X0) != app(skaf76(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f293]) ).
fof(f4097,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4096,f8]) ).
fof(f4096,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3942,f18]) ).
fof(f3942,plain,
! [X0,X1] :
( skaf77(X0) != app(skaf77(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f292]) ).
fof(f4095,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4094,f8]) ).
fof(f4094,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3941,f15]) ).
fof(f3941,plain,
! [X0,X1] :
( skaf80(X0) != app(skaf80(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f291]) ).
fof(f4093,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4092,f8]) ).
fof(f4092,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3940,f14]) ).
fof(f3940,plain,
! [X0,X1] :
( skaf81(X0) != app(skaf81(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f290]) ).
fof(f4091,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| ~ ssList(X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f4090,f8]) ).
fof(f4090,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3939,f13]) ).
fof(f3939,plain,
! [X0,X1] :
( skaf82(X0) != app(skaf82(X0),X1)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| nil = X1
| ~ ssList(nil) ),
inference(superposition,[],[f150,f289]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f3874,plain,
! [X0] :
( app(tl(sk1),X0) = tl(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3873,f191]) ).
fof(f3873,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(subsumption_resolution,[],[f3872,f192]) ).
fof(f3872,plain,
! [X0] :
( nil = sk1
| ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(forward_demodulation,[],[f3862,f191]) ).
fof(f3862,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(resolution,[],[f133,f188]) ).
fof(f3871,plain,
! [X0] :
( ~ ssList(X0)
| app(tl(sk1),X0) = tl(app(sk1,X0)) ),
inference(subsumption_resolution,[],[f3860,f192]) ).
fof(f3860,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk1
| app(tl(sk1),X0) = tl(app(sk1,X0)) ),
inference(resolution,[],[f133,f186]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| tl(app(tl(X1),X0)) = app(tl(tl(X1)),X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f133,f75]) ).
fof(f3856,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| tl(app(app(X1,X2),X0)) = app(tl(app(X1,X2)),X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f133,f85]) ).
fof(f3866,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| tl(app(cons(X1,X2),X0)) = app(tl(cons(X1,X2)),X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f3854,f98]) ).
fof(f3854,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| tl(app(cons(X1,X2),X0)) = app(tl(cons(X1,X2)),X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f133,f86]) ).
fof(f3853,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| tl(app(skaf42(X1,X2),X0)) = app(tl(skaf42(X1,X2)),X0) ),
inference(resolution,[],[f133,f53]) ).
fof(f3852,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| tl(app(skaf43(X1,X2),X0)) = app(tl(skaf43(X1,X2)),X0) ),
inference(resolution,[],[f133,f52]) ).
fof(f3851,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| tl(app(skaf45(X1,X2),X0)) = app(tl(skaf45(X1,X2)),X0) ),
inference(resolution,[],[f133,f51]) ).
fof(f3850,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| tl(app(skaf46(X1,X2),X0)) = app(tl(skaf46(X1,X2)),X0) ),
inference(resolution,[],[f133,f50]) ).
fof(f3849,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| tl(app(skaf47(X1,X2),X0)) = app(tl(skaf47(X1,X2)),X0) ),
inference(resolution,[],[f133,f49]) ).
fof(f3848,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| tl(app(skaf48(X1,X2),X0)) = app(tl(skaf48(X1,X2)),X0) ),
inference(resolution,[],[f133,f48]) ).
fof(f3847,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| tl(app(skaf51(X1),X0)) = app(tl(skaf51(X1)),X0) ),
inference(resolution,[],[f133,f44]) ).
fof(f3846,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| tl(app(skaf52(X1),X0)) = app(tl(skaf52(X1)),X0) ),
inference(resolution,[],[f133,f43]) ).
fof(f3845,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| tl(app(skaf53(X1),X0)) = app(tl(skaf53(X1)),X0) ),
inference(resolution,[],[f133,f42]) ).
fof(f3844,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| tl(app(skaf56(X1),X0)) = app(tl(skaf56(X1)),X0) ),
inference(resolution,[],[f133,f39]) ).
fof(f3843,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| tl(app(skaf57(X1),X0)) = app(tl(skaf57(X1)),X0) ),
inference(resolution,[],[f133,f38]) ).
fof(f3842,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| tl(app(skaf58(X1),X0)) = app(tl(skaf58(X1)),X0) ),
inference(resolution,[],[f133,f37]) ).
fof(f3841,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| tl(app(skaf61(X1),X0)) = app(tl(skaf61(X1)),X0) ),
inference(resolution,[],[f133,f34]) ).
fof(f3840,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| tl(app(skaf62(X1),X0)) = app(tl(skaf62(X1)),X0) ),
inference(resolution,[],[f133,f33]) ).
fof(f3839,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| tl(app(skaf63(X1),X0)) = app(tl(skaf63(X1)),X0) ),
inference(resolution,[],[f133,f32]) ).
fof(f3838,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| tl(app(skaf66(X1),X0)) = app(tl(skaf66(X1)),X0) ),
inference(resolution,[],[f133,f29]) ).
fof(f3837,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| tl(app(skaf67(X1),X0)) = app(tl(skaf67(X1)),X0) ),
inference(resolution,[],[f133,f28]) ).
fof(f3836,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| tl(app(skaf68(X1),X0)) = app(tl(skaf68(X1)),X0) ),
inference(resolution,[],[f133,f27]) ).
fof(f3835,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| tl(app(skaf71(X1),X0)) = app(tl(skaf71(X1)),X0) ),
inference(resolution,[],[f133,f24]) ).
fof(f3834,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| tl(app(skaf72(X1),X0)) = app(tl(skaf72(X1)),X0) ),
inference(resolution,[],[f133,f23]) ).
fof(f3833,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| tl(app(skaf73(X1),X0)) = app(tl(skaf73(X1)),X0) ),
inference(resolution,[],[f133,f22]) ).
fof(f3832,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| tl(app(skaf75(X1),X0)) = app(tl(skaf75(X1)),X0) ),
inference(resolution,[],[f133,f20]) ).
fof(f3831,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| tl(app(skaf76(X1),X0)) = app(tl(skaf76(X1)),X0) ),
inference(resolution,[],[f133,f19]) ).
fof(f3830,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| tl(app(skaf77(X1),X0)) = app(tl(skaf77(X1)),X0) ),
inference(resolution,[],[f133,f18]) ).
fof(f3829,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| tl(app(skaf80(X1),X0)) = app(tl(skaf80(X1)),X0) ),
inference(resolution,[],[f133,f15]) ).
fof(f3828,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| tl(app(skaf81(X1),X0)) = app(tl(skaf81(X1)),X0) ),
inference(resolution,[],[f133,f14]) ).
fof(f3827,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| tl(app(skaf82(X1),X0)) = app(tl(skaf82(X1)),X0) ),
inference(resolution,[],[f133,f13]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f3817,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X0,sk8)
| sk8 = X0 ),
inference(subsumption_resolution,[],[f3812,f244]) ).
fof(f3812,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk8)
| ~ frontsegP(X0,sk8)
| sk8 = X0 ),
inference(duplicate_literal_removal,[],[f3811]) ).
fof(f3811,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ frontsegP(X0,sk8)
| sk8 = X0 ),
inference(resolution,[],[f2587,f129]) ).
fof(f3816,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| sk8 = app(X0,skaf45(sk8,X0)) ),
inference(subsumption_resolution,[],[f3813,f244]) ).
fof(f3813,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk8)
| sk8 = app(X0,skaf45(sk8,X0)) ),
inference(duplicate_literal_removal,[],[f3810]) ).
fof(f3810,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| sk8 = app(X0,skaf45(sk8,X0)) ),
inference(resolution,[],[f2587,f132]) ).
fof(f3815,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X1)
| ~ frontsegP(X1,sk8)
| frontsegP(X1,X0) ),
inference(subsumption_resolution,[],[f3814,f244]) ).
fof(f3814,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk8)
| ~ frontsegP(X1,sk8)
| frontsegP(X1,X0) ),
inference(duplicate_literal_removal,[],[f3809]) ).
fof(f3809,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(X1,sk8)
| frontsegP(X1,X0) ),
inference(resolution,[],[f2587,f154]) ).
fof(f2587,plain,
! [X0] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2586,f244]) ).
fof(f2586,plain,
! [X0] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk8) ),
inference(subsumption_resolution,[],[f2512,f8]) ).
fof(f2512,plain,
! [X0] :
( frontsegP(sk8,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk8) ),
inference(superposition,[],[f137,f357]) ).
fof(f3808,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ rearsegP(X0,sk8)
| sk8 = X0 ),
inference(subsumption_resolution,[],[f3802,f244]) ).
fof(f3802,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk8)
| ~ rearsegP(X0,sk8)
| sk8 = X0 ),
inference(duplicate_literal_removal,[],[f3801]) ).
fof(f3801,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ rearsegP(X0,sk8)
| sk8 = X0 ),
inference(resolution,[],[f2374,f128]) ).
fof(f3807,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| sk8 = app(skaf46(sk8,X0),X0) ),
inference(subsumption_resolution,[],[f3803,f244]) ).
fof(f3803,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk8)
| sk8 = app(skaf46(sk8,X0),X0) ),
inference(duplicate_literal_removal,[],[f3800]) ).
fof(f3800,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| sk8 = app(skaf46(sk8,X0),X0) ),
inference(resolution,[],[f2374,f131]) ).
fof(f3806,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ rearsegP(X1,sk8)
| rearsegP(X1,X0) ),
inference(subsumption_resolution,[],[f3804,f244]) ).
fof(f3804,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk8)
| ~ rearsegP(X1,sk8)
| rearsegP(X1,X0) ),
inference(duplicate_literal_removal,[],[f3799]) ).
fof(f3799,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(X1,sk8)
| rearsegP(X1,X0) ),
inference(resolution,[],[f2374,f153]) ).
fof(f2374,plain,
! [X0] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2373,f244]) ).
fof(f2373,plain,
! [X0] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk8) ),
inference(subsumption_resolution,[],[f2264,f8]) ).
fof(f2264,plain,
! [X0] :
( rearsegP(sk8,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk8) ),
inference(superposition,[],[f136,f321]) ).
fof(f3797,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ rearsegP(X0,sk1)
| sk1 = X0 ),
inference(subsumption_resolution,[],[f3791,f186]) ).
fof(f3791,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk1)
| ~ rearsegP(X0,sk1)
| sk1 = X0 ),
inference(duplicate_literal_removal,[],[f3790]) ).
fof(f3790,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ rearsegP(X0,sk1)
| sk1 = X0 ),
inference(resolution,[],[f2367,f128]) ).
fof(f3796,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| sk1 = app(skaf46(sk1,X0),X0) ),
inference(subsumption_resolution,[],[f3792,f186]) ).
fof(f3792,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk1)
| sk1 = app(skaf46(sk1,X0),X0) ),
inference(duplicate_literal_removal,[],[f3789]) ).
fof(f3789,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| sk1 = app(skaf46(sk1,X0),X0) ),
inference(resolution,[],[f2367,f131]) ).
fof(f3795,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ rearsegP(X1,sk1)
| rearsegP(X1,X0) ),
inference(subsumption_resolution,[],[f3793,f186]) ).
fof(f3793,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk1)
| ~ rearsegP(X1,sk1)
| rearsegP(X1,X0) ),
inference(duplicate_literal_removal,[],[f3788]) ).
fof(f3788,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X1)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ rearsegP(X1,sk1)
| rearsegP(X1,X0) ),
inference(resolution,[],[f2367,f153]) ).
fof(f2367,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2366,f186]) ).
fof(f2366,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f2261,f8]) ).
fof(f2261,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk1) ),
inference(superposition,[],[f136,f316]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f2132,plain,
hd(sk1) = hd(app(sk1,sk8)),
inference(resolution,[],[f2087,f244]) ).
fof(f3695,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,skaf49(X1))
| leq(X0,skaf50(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3694,f45]) ).
fof(f3694,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf49(X1))
| leq(X0,skaf50(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3689,f46]) ).
fof(f3689,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf49(X1))
| leq(X0,skaf50(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f156,f88]) ).
fof(f3693,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,skaf50(X1))
| leq(X0,skaf49(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3692,f46]) ).
fof(f3692,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf49(X1))
| ~ leq(X0,skaf50(X1))
| leq(X0,skaf49(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3688,f45]) ).
fof(f3688,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(skaf50(X1))
| ~ ssItem(skaf49(X1))
| ~ leq(X0,skaf50(X1))
| leq(X0,skaf49(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f156,f87]) ).
fof(f3690,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2)
| ~ geq(X2,X1) ),
inference(duplicate_literal_removal,[],[f3687]) ).
fof(f3687,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2)
| ~ ssItem(X2)
| ~ geq(X2,X1)
| ~ ssItem(X1) ),
inference(resolution,[],[f156,f107]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f3661,plain,
hd(sk1) = hd(app(sk1,sk8)),
inference(superposition,[],[f2118,f3075]) ).
fof(f3075,plain,
sk8 = skaf45(sk8,nil),
inference(resolution,[],[f2201,f244]) ).
fof(f3653,plain,
hd(sk1) = hd(app(sk1,sk8)),
inference(superposition,[],[f2117,f2967]) ).
fof(f2967,plain,
sk8 = skaf46(sk8,nil),
inference(resolution,[],[f2158,f244]) ).
fof(f1063,plain,
( nil = sk8
| sk8 = cons(skaf83(sk8),skaf82(sk8)) ),
inference(resolution,[],[f109,f244]) ).
fof(f2084,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk8
| hd(sk8) = hd(app(sk8,X0)) ),
inference(resolution,[],[f123,f244]) ).
fof(f2378,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(subsumption_resolution,[],[f2298,f244]) ).
fof(f2298,plain,
! [X0] :
( rearsegP(sk1,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(superposition,[],[f136,f512]) ).
fof(f2798,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ memberP(sk8,X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2794,f244]) ).
fof(f2794,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ memberP(sk8,X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f141,f512]) ).
fof(f3555,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(duplicate_literal_removal,[],[f3554]) ).
fof(f3554,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| X1 = X2
| ~ ssItem(X2) ),
inference(resolution,[],[f155,f121]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f3057,plain,
! [X0] : skaf51(X0) = skaf45(skaf51(X0),nil),
inference(resolution,[],[f2201,f44]) ).
fof(f3056,plain,
! [X0] : skaf52(X0) = skaf45(skaf52(X0),nil),
inference(resolution,[],[f2201,f43]) ).
fof(f3055,plain,
! [X0] : skaf53(X0) = skaf45(skaf53(X0),nil),
inference(resolution,[],[f2201,f42]) ).
fof(f3054,plain,
! [X0] : skaf56(X0) = skaf45(skaf56(X0),nil),
inference(resolution,[],[f2201,f39]) ).
fof(f3053,plain,
! [X0] : skaf57(X0) = skaf45(skaf57(X0),nil),
inference(resolution,[],[f2201,f38]) ).
fof(f3052,plain,
! [X0] : skaf58(X0) = skaf45(skaf58(X0),nil),
inference(resolution,[],[f2201,f37]) ).
fof(f3051,plain,
! [X0] : skaf61(X0) = skaf45(skaf61(X0),nil),
inference(resolution,[],[f2201,f34]) ).
fof(f3050,plain,
! [X0] : skaf62(X0) = skaf45(skaf62(X0),nil),
inference(resolution,[],[f2201,f33]) ).
fof(f3049,plain,
! [X0] : skaf63(X0) = skaf45(skaf63(X0),nil),
inference(resolution,[],[f2201,f32]) ).
fof(f3048,plain,
! [X0] : skaf66(X0) = skaf45(skaf66(X0),nil),
inference(resolution,[],[f2201,f29]) ).
fof(f3047,plain,
! [X0] : skaf67(X0) = skaf45(skaf67(X0),nil),
inference(resolution,[],[f2201,f28]) ).
fof(f3454,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3444,f85]) ).
fof(f3444,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3437]) ).
fof(f3437,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(X1,X3)
| ~ ssList(X2) ),
inference(resolution,[],[f154,f137]) ).
fof(f3453,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk7)
| frontsegP(X0,X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3445,f242]) ).
fof(f3445,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ frontsegP(X0,sk7)
| frontsegP(X0,X1)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3436]) ).
fof(f3436,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ frontsegP(X0,sk7)
| frontsegP(X0,X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(resolution,[],[f154,f2585]) ).
fof(f3452,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk1)
| frontsegP(X0,X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3446,f186]) ).
fof(f3446,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(X1)
| ~ frontsegP(X0,sk1)
| frontsegP(X0,X1)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3435]) ).
fof(f3435,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(X1)
| ~ frontsegP(X0,sk1)
| frontsegP(X0,X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(resolution,[],[f154,f2580]) ).
fof(f3450,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3448,f85]) ).
fof(f3448,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3433]) ).
fof(f3433,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ frontsegP(X0,app(X1,X2))
| frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f154,f1843]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f3046,plain,
! [X0] : skaf68(X0) = skaf45(skaf68(X0),nil),
inference(resolution,[],[f2201,f27]) ).
fof(f3045,plain,
! [X0] : skaf71(X0) = skaf45(skaf71(X0),nil),
inference(resolution,[],[f2201,f24]) ).
fof(f3044,plain,
! [X0] : skaf72(X0) = skaf45(skaf72(X0),nil),
inference(resolution,[],[f2201,f23]) ).
fof(f3043,plain,
! [X0] : skaf73(X0) = skaf45(skaf73(X0),nil),
inference(resolution,[],[f2201,f22]) ).
fof(f3042,plain,
! [X0] : skaf75(X0) = skaf45(skaf75(X0),nil),
inference(resolution,[],[f2201,f20]) ).
fof(f3041,plain,
! [X0] : skaf76(X0) = skaf45(skaf76(X0),nil),
inference(resolution,[],[f2201,f19]) ).
fof(f3040,plain,
! [X0] : skaf77(X0) = skaf45(skaf77(X0),nil),
inference(resolution,[],[f2201,f18]) ).
fof(f3039,plain,
! [X0] : skaf80(X0) = skaf45(skaf80(X0),nil),
inference(resolution,[],[f2201,f15]) ).
fof(f3038,plain,
! [X0] : skaf81(X0) = skaf45(skaf81(X0),nil),
inference(resolution,[],[f2201,f14]) ).
fof(f3037,plain,
! [X0] : skaf82(X0) = skaf45(skaf82(X0),nil),
inference(resolution,[],[f2201,f13]) ).
fof(f3338,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3328,f85]) ).
fof(f3328,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f3321]) ).
fof(f3321,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X2,X3)
| ~ ssList(X1) ),
inference(resolution,[],[f153,f136]) ).
fof(f3337,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f3329,f85]) ).
fof(f3329,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f3320]) ).
fof(f3320,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ rearsegP(X0,app(X1,X2))
| rearsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f153,f1694]) ).
fof(f3336,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,sk7)
| rearsegP(X0,X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3330,f242]) ).
fof(f3330,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ rearsegP(X0,sk7)
| rearsegP(X0,X1)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3319]) ).
fof(f3319,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ rearsegP(X0,sk7)
| rearsegP(X0,X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(resolution,[],[f153,f2372]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f2949,plain,
! [X0] : skaf51(X0) = skaf46(skaf51(X0),nil),
inference(resolution,[],[f2158,f44]) ).
fof(f2948,plain,
! [X0] : skaf52(X0) = skaf46(skaf52(X0),nil),
inference(resolution,[],[f2158,f43]) ).
fof(f2947,plain,
! [X0] : skaf53(X0) = skaf46(skaf53(X0),nil),
inference(resolution,[],[f2158,f42]) ).
fof(f2946,plain,
! [X0] : skaf56(X0) = skaf46(skaf56(X0),nil),
inference(resolution,[],[f2158,f39]) ).
fof(f2945,plain,
! [X0] : skaf57(X0) = skaf46(skaf57(X0),nil),
inference(resolution,[],[f2158,f38]) ).
fof(f2944,plain,
! [X0] : skaf58(X0) = skaf46(skaf58(X0),nil),
inference(resolution,[],[f2158,f37]) ).
fof(f2943,plain,
! [X0] : skaf61(X0) = skaf46(skaf61(X0),nil),
inference(resolution,[],[f2158,f34]) ).
fof(f2942,plain,
! [X0] : skaf62(X0) = skaf46(skaf62(X0),nil),
inference(resolution,[],[f2158,f33]) ).
fof(f2941,plain,
! [X0] : skaf63(X0) = skaf46(skaf63(X0),nil),
inference(resolution,[],[f2158,f32]) ).
fof(f2940,plain,
! [X0] : skaf66(X0) = skaf46(skaf66(X0),nil),
inference(resolution,[],[f2158,f29]) ).
fof(f2939,plain,
! [X0] : skaf67(X0) = skaf46(skaf67(X0),nil),
inference(resolution,[],[f2158,f28]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f2938,plain,
! [X0] : skaf68(X0) = skaf46(skaf68(X0),nil),
inference(resolution,[],[f2158,f27]) ).
fof(f2937,plain,
! [X0] : skaf71(X0) = skaf46(skaf71(X0),nil),
inference(resolution,[],[f2158,f24]) ).
fof(f2936,plain,
! [X0] : skaf72(X0) = skaf46(skaf72(X0),nil),
inference(resolution,[],[f2158,f23]) ).
fof(f2935,plain,
! [X0] : skaf73(X0) = skaf46(skaf73(X0),nil),
inference(resolution,[],[f2158,f22]) ).
fof(f2934,plain,
! [X0] : skaf75(X0) = skaf46(skaf75(X0),nil),
inference(resolution,[],[f2158,f20]) ).
fof(f2933,plain,
! [X0] : skaf76(X0) = skaf46(skaf76(X0),nil),
inference(resolution,[],[f2158,f19]) ).
fof(f2932,plain,
! [X0] : skaf77(X0) = skaf46(skaf77(X0),nil),
inference(resolution,[],[f2158,f18]) ).
fof(f2931,plain,
! [X0] : skaf80(X0) = skaf46(skaf80(X0),nil),
inference(resolution,[],[f2158,f15]) ).
fof(f2930,plain,
! [X0] : skaf81(X0) = skaf46(skaf81(X0),nil),
inference(resolution,[],[f2158,f14]) ).
fof(f2929,plain,
! [X0] : skaf82(X0) = skaf46(skaf82(X0),nil),
inference(resolution,[],[f2158,f13]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f3074,plain,
sk7 = skaf45(sk7,nil),
inference(resolution,[],[f2201,f242]) ).
fof(f3070,plain,
sk1 = skaf45(sk1,nil),
inference(resolution,[],[f2201,f186]) ).
fof(f3078,plain,
sk1 = skaf45(sk1,nil),
inference(forward_demodulation,[],[f3072,f191]) ).
fof(f3072,plain,
sk3 = skaf45(sk3,nil),
inference(resolution,[],[f2201,f188]) ).
fof(f3068,plain,
! [X0] :
( tl(X0) = skaf45(tl(X0),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2201,f75]) ).
fof(f3066,plain,
! [X0,X1] :
( app(X0,X1) = skaf45(app(X0,X1),nil)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2201,f85]) ).
fof(f3064,plain,
! [X0,X1] :
( cons(X0,X1) = skaf45(cons(X0,X1),nil)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f2201,f86]) ).
fof(f3063,plain,
! [X0,X1] : skaf42(X0,X1) = skaf45(skaf42(X0,X1),nil),
inference(resolution,[],[f2201,f53]) ).
fof(f3062,plain,
! [X0,X1] : skaf43(X0,X1) = skaf45(skaf43(X0,X1),nil),
inference(resolution,[],[f2201,f52]) ).
fof(f3061,plain,
! [X0,X1] : skaf45(X0,X1) = skaf45(skaf45(X0,X1),nil),
inference(resolution,[],[f2201,f51]) ).
fof(f3060,plain,
! [X0,X1] : skaf46(X0,X1) = skaf45(skaf46(X0,X1),nil),
inference(resolution,[],[f2201,f50]) ).
fof(f3059,plain,
! [X0,X1] : skaf47(X0,X1) = skaf45(skaf47(X0,X1),nil),
inference(resolution,[],[f2201,f49]) ).
fof(f3058,plain,
! [X0,X1] : skaf48(X0,X1) = skaf45(skaf48(X0,X1),nil),
inference(resolution,[],[f2201,f48]) ).
fof(f2201,plain,
! [X0] :
( ~ ssList(X0)
| skaf45(X0,nil) = X0 ),
inference(forward_demodulation,[],[f2200,f349]) ).
fof(f2200,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0 ),
inference(subsumption_resolution,[],[f2197,f8]) ).
fof(f2197,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0 ),
inference(duplicate_literal_removal,[],[f2190]) ).
fof(f2190,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f132,f60]) ).
fof(f3001,plain,
nil = skaf45(nil,nil),
inference(superposition,[],[f2199,f349]) ).
fof(f3024,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(duplicate_literal_removal,[],[f3023]) ).
fof(f3023,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| X1 = X2
| ~ ssItem(X2) ),
inference(resolution,[],[f147,f121]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f3022,plain,
rearsegP(nil,skaf45(nil,nil)),
inference(subsumption_resolution,[],[f3021,f8]) ).
fof(f3021,plain,
( rearsegP(nil,skaf45(nil,nil))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3011,f51]) ).
fof(f3011,plain,
( rearsegP(nil,skaf45(nil,nil))
| ~ ssList(skaf45(nil,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f1694,f2199]) ).
fof(f3020,plain,
! [X0] :
( ~ memberP(skaf45(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3019,f71]) ).
fof(f3019,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(skaf45(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3018,f8]) ).
fof(f3018,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ memberP(skaf45(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3009,f51]) ).
fof(f3009,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssList(skaf45(nil,nil))
| ~ ssList(nil)
| ~ memberP(skaf45(nil,nil),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f141,f2199]) ).
fof(f3017,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(nil,nil),X0) ),
inference(subsumption_resolution,[],[f3016,f8]) ).
fof(f3016,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(nil,nil),X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3006,f51]) ).
fof(f3006,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(skaf45(nil,nil))
| ~ ssList(X0)
| ~ rearsegP(skaf45(nil,nil),X0)
| ~ ssList(nil) ),
inference(superposition,[],[f136,f2199]) ).
fof(f3015,plain,
nil = skaf45(nil,nil),
inference(subsumption_resolution,[],[f3014,f51]) ).
fof(f3014,plain,
( nil = skaf45(nil,nil)
| ~ ssList(skaf45(nil,nil)) ),
inference(subsumption_resolution,[],[f3013,f8]) ).
fof(f3013,plain,
( ~ ssList(nil)
| nil = skaf45(nil,nil)
| ~ ssList(skaf45(nil,nil)) ),
inference(trivial_inequality_removal,[],[f3005]) ).
fof(f3005,plain,
( nil != nil
| ~ ssList(nil)
| nil = skaf45(nil,nil)
| ~ ssList(skaf45(nil,nil)) ),
inference(superposition,[],[f119,f2199]) ).
fof(f3002,plain,
nil = skaf45(nil,nil),
inference(superposition,[],[f349,f2199]) ).
fof(f2199,plain,
nil = app(nil,skaf45(nil,nil)),
inference(subsumption_resolution,[],[f2198,f8]) ).
fof(f2198,plain,
( ~ ssList(nil)
| nil = app(nil,skaf45(nil,nil)) ),
inference(duplicate_literal_removal,[],[f2189]) ).
fof(f2189,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,skaf45(nil,nil)) ),
inference(resolution,[],[f132,f233]) ).
fof(f2966,plain,
sk7 = skaf46(sk7,nil),
inference(resolution,[],[f2158,f242]) ).
fof(f2960,plain,
! [X0] :
( tl(X0) = skaf46(tl(X0),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2158,f75]) ).
fof(f2958,plain,
! [X0,X1] :
( app(X0,X1) = skaf46(app(X0,X1),nil)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2158,f85]) ).
fof(f2956,plain,
! [X0,X1] :
( cons(X0,X1) = skaf46(cons(X0,X1),nil)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f2158,f86]) ).
fof(f2955,plain,
! [X0,X1] : skaf42(X0,X1) = skaf46(skaf42(X0,X1),nil),
inference(resolution,[],[f2158,f53]) ).
fof(f2954,plain,
! [X0,X1] : skaf43(X0,X1) = skaf46(skaf43(X0,X1),nil),
inference(resolution,[],[f2158,f52]) ).
fof(f2953,plain,
! [X0,X1] : skaf45(X0,X1) = skaf46(skaf45(X0,X1),nil),
inference(resolution,[],[f2158,f51]) ).
fof(f2952,plain,
! [X0,X1] : skaf46(X0,X1) = skaf46(skaf46(X0,X1),nil),
inference(resolution,[],[f2158,f50]) ).
fof(f2951,plain,
! [X0,X1] : skaf47(X0,X1) = skaf46(skaf47(X0,X1),nil),
inference(resolution,[],[f2158,f49]) ).
fof(f2950,plain,
! [X0,X1] : skaf48(X0,X1) = skaf46(skaf48(X0,X1),nil),
inference(resolution,[],[f2158,f48]) ).
fof(f2158,plain,
! [X0] :
( ~ ssList(X0)
| skaf46(X0,nil) = X0 ),
inference(forward_demodulation,[],[f2157,f312]) ).
fof(f2157,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0 ),
inference(subsumption_resolution,[],[f2154,f8]) ).
fof(f2154,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0 ),
inference(duplicate_literal_removal,[],[f2148]) ).
fof(f2148,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f131,f58]) ).
fof(f2895,plain,
nil = skaf46(nil,nil),
inference(superposition,[],[f2156,f312]) ).
fof(f2916,plain,
frontsegP(nil,skaf46(nil,nil)),
inference(subsumption_resolution,[],[f2915,f8]) ).
fof(f2915,plain,
( frontsegP(nil,skaf46(nil,nil))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2906,f50]) ).
fof(f2906,plain,
( frontsegP(nil,skaf46(nil,nil))
| ~ ssList(skaf46(nil,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f1843,f2156]) ).
fof(f2914,plain,
! [X0] :
( ~ memberP(skaf46(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2913,f71]) ).
fof(f2913,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(skaf46(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2912,f50]) ).
fof(f2912,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssList(skaf46(nil,nil))
| ~ memberP(skaf46(nil,nil),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2902,f8]) ).
fof(f2902,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssList(skaf46(nil,nil))
| ~ memberP(skaf46(nil,nil),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f140,f2156]) ).
fof(f2911,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(nil,nil),X0) ),
inference(subsumption_resolution,[],[f2910,f8]) ).
fof(f2910,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(nil,nil),X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2901,f50]) ).
fof(f2901,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(skaf46(nil,nil))
| ~ ssList(X0)
| ~ frontsegP(skaf46(nil,nil),X0)
| ~ ssList(nil) ),
inference(superposition,[],[f137,f2156]) ).
fof(f2909,plain,
nil = skaf46(nil,nil),
inference(subsumption_resolution,[],[f2908,f8]) ).
fof(f2908,plain,
( nil = skaf46(nil,nil)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2907,f50]) ).
fof(f2907,plain,
( ~ ssList(skaf46(nil,nil))
| nil = skaf46(nil,nil)
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f2898]) ).
fof(f2898,plain,
( nil != nil
| ~ ssList(skaf46(nil,nil))
| nil = skaf46(nil,nil)
| ~ ssList(nil) ),
inference(superposition,[],[f118,f2156]) ).
fof(f2896,plain,
nil = skaf46(nil,nil),
inference(superposition,[],[f312,f2156]) ).
fof(f2156,plain,
nil = app(skaf46(nil,nil),nil),
inference(subsumption_resolution,[],[f2155,f8]) ).
fof(f2155,plain,
( ~ ssList(nil)
| nil = app(skaf46(nil,nil),nil) ),
inference(duplicate_literal_removal,[],[f2147]) ).
fof(f2147,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(skaf46(nil,nil),nil) ),
inference(resolution,[],[f131,f231]) ).
fof(f2894,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2)
| ~ lt(X2,X1) ),
inference(duplicate_literal_removal,[],[f2893]) ).
fof(f2893,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2)
| ~ ssItem(X1)
| ~ lt(X2,X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f146,f106]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f2612,plain,
! [X0] :
( ~ memberP(skaf82(sk1),X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2611,f13]) ).
fof(f2611,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(skaf82(sk1))
| ~ memberP(skaf82(sk1),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2606,f12]) ).
fof(f2606,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(skaf83(sk1))
| ~ ssList(skaf82(sk1))
| ~ memberP(skaf82(sk1),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f139,f1065]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f2120,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf42(X0,X1))),
inference(resolution,[],[f2087,f53]) ).
fof(f2119,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf43(X0,X1))),
inference(resolution,[],[f2087,f52]) ).
fof(f2118,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf45(X0,X1))),
inference(resolution,[],[f2087,f51]) ).
fof(f2117,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf46(X0,X1))),
inference(resolution,[],[f2087,f50]) ).
fof(f2116,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf47(X0,X1))),
inference(resolution,[],[f2087,f49]) ).
fof(f2115,plain,
! [X0,X1] : hd(sk1) = hd(app(sk1,skaf48(X0,X1))),
inference(resolution,[],[f2087,f48]) ).
fof(f2712,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X0,sk7)
| sk7 = X0 ),
inference(subsumption_resolution,[],[f2709,f242]) ).
fof(f2709,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk7)
| ~ frontsegP(X0,sk7)
| sk7 = X0 ),
inference(duplicate_literal_removal,[],[f2708]) ).
fof(f2708,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ frontsegP(X0,sk7)
| sk7 = X0 ),
inference(resolution,[],[f2585,f129]) ).
fof(f2711,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| sk7 = app(X0,skaf45(sk7,X0)) ),
inference(subsumption_resolution,[],[f2710,f242]) ).
fof(f2710,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk7)
| sk7 = app(X0,skaf45(sk7,X0)) ),
inference(duplicate_literal_removal,[],[f2707]) ).
fof(f2707,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| sk7 = app(X0,skaf45(sk7,X0)) ),
inference(resolution,[],[f2585,f132]) ).
fof(f2585,plain,
! [X0] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2584,f242]) ).
fof(f2584,plain,
! [X0] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f2511,f8]) ).
fof(f2511,plain,
! [X0] :
( frontsegP(sk7,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk7) ),
inference(superposition,[],[f137,f356]) ).
fof(f2706,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ memberP(app(sk7,cons(sk6,nil)),X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2700,f244]) ).
fof(f2700,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ memberP(app(sk7,cons(sk6,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f140,f512]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f2630,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X0,sk1)
| sk1 = X0 ),
inference(subsumption_resolution,[],[f2627,f186]) ).
fof(f2627,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1)
| ~ frontsegP(X0,sk1)
| sk1 = X0 ),
inference(duplicate_literal_removal,[],[f2626]) ).
fof(f2626,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ frontsegP(X0,sk1)
| sk1 = X0 ),
inference(resolution,[],[f2580,f129]) ).
fof(f2629,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| sk1 = app(X0,skaf45(sk1,X0)) ),
inference(subsumption_resolution,[],[f2628,f186]) ).
fof(f2628,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1)
| sk1 = app(X0,skaf45(sk1,X0)) ),
inference(duplicate_literal_removal,[],[f2625]) ).
fof(f2625,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| sk1 = app(X0,skaf45(sk1,X0)) ),
inference(resolution,[],[f2580,f132]) ).
fof(f2580,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2579,f186]) ).
fof(f2579,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f2509,f8]) ).
fof(f2509,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sk1) ),
inference(superposition,[],[f137,f352]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f2589,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(X0)
| ~ frontsegP(app(sk7,cons(sk6,nil)),X0) ),
inference(subsumption_resolution,[],[f2513,f244]) ).
fof(f2513,plain,
! [X0] :
( frontsegP(sk1,X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(X0)
| ~ frontsegP(app(sk7,cons(sk6,nil)),X0)
| ~ ssList(sk8) ),
inference(superposition,[],[f137,f512]) ).
fof(f2576,plain,
! [X2,X0,X1] :
( frontsegP(skaf42(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2575,f53]) ).
fof(f2575,plain,
! [X2,X0,X1] :
( frontsegP(skaf42(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(subsumption_resolution,[],[f2507,f8]) ).
fof(f2507,plain,
! [X2,X0,X1] :
( frontsegP(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[],[f137,f351]) ).
fof(f2574,plain,
! [X2,X0,X1] :
( frontsegP(skaf43(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2573,f52]) ).
fof(f2573,plain,
! [X2,X0,X1] :
( frontsegP(skaf43(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(subsumption_resolution,[],[f2506,f8]) ).
fof(f2506,plain,
! [X2,X0,X1] :
( frontsegP(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[],[f137,f350]) ).
fof(f2572,plain,
! [X2,X0,X1] :
( frontsegP(skaf45(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2571,f51]) ).
fof(f2571,plain,
! [X2,X0,X1] :
( frontsegP(skaf45(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f2504,f8]) ).
fof(f2504,plain,
! [X2,X0,X1] :
( frontsegP(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[],[f137,f349]) ).
fof(f2570,plain,
! [X2,X0,X1] :
( frontsegP(skaf46(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2569,f50]) ).
fof(f2569,plain,
! [X2,X0,X1] :
( frontsegP(skaf46(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f2503,f8]) ).
fof(f2503,plain,
! [X2,X0,X1] :
( frontsegP(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[],[f137,f348]) ).
fof(f2568,plain,
! [X2,X0,X1] :
( frontsegP(skaf47(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2567,f49]) ).
fof(f2567,plain,
! [X2,X0,X1] :
( frontsegP(skaf47(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f2502,f8]) ).
fof(f2502,plain,
! [X2,X0,X1] :
( frontsegP(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[],[f137,f347]) ).
fof(f2566,plain,
! [X2,X0,X1] :
( frontsegP(skaf48(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2565,f48]) ).
fof(f2565,plain,
! [X2,X0,X1] :
( frontsegP(skaf48(X0,X1),X2)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f2501,f8]) ).
fof(f2501,plain,
! [X2,X0,X1] :
( frontsegP(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[],[f137,f346]) ).
fof(f2564,plain,
! [X0,X1] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2563,f44]) ).
fof(f2563,plain,
! [X0,X1] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(subsumption_resolution,[],[f2500,f8]) ).
fof(f2500,plain,
! [X0,X1] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[],[f137,f345]) ).
fof(f2562,plain,
! [X0,X1] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2561,f43]) ).
fof(f2561,plain,
! [X0,X1] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(subsumption_resolution,[],[f2499,f8]) ).
fof(f2499,plain,
! [X0,X1] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[],[f137,f344]) ).
fof(f2560,plain,
! [X0,X1] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2559,f42]) ).
fof(f2559,plain,
! [X0,X1] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(subsumption_resolution,[],[f2498,f8]) ).
fof(f2498,plain,
! [X0,X1] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[],[f137,f343]) ).
fof(f2558,plain,
! [X0,X1] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2557,f39]) ).
fof(f2557,plain,
! [X0,X1] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(subsumption_resolution,[],[f2497,f8]) ).
fof(f2497,plain,
! [X0,X1] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[],[f137,f342]) ).
fof(f2556,plain,
! [X0,X1] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2555,f38]) ).
fof(f2555,plain,
! [X0,X1] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(subsumption_resolution,[],[f2496,f8]) ).
fof(f2496,plain,
! [X0,X1] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[],[f137,f341]) ).
fof(f2554,plain,
! [X0,X1] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2553,f37]) ).
fof(f2553,plain,
! [X0,X1] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(subsumption_resolution,[],[f2495,f8]) ).
fof(f2495,plain,
! [X0,X1] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[],[f137,f340]) ).
fof(f2552,plain,
! [X0,X1] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2551,f34]) ).
fof(f2551,plain,
! [X0,X1] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(subsumption_resolution,[],[f2494,f8]) ).
fof(f2494,plain,
! [X0,X1] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[],[f137,f339]) ).
fof(f2550,plain,
! [X0,X1] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2549,f33]) ).
fof(f2549,plain,
! [X0,X1] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(subsumption_resolution,[],[f2493,f8]) ).
fof(f2493,plain,
! [X0,X1] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[],[f137,f338]) ).
fof(f2548,plain,
! [X0,X1] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2547,f32]) ).
fof(f2547,plain,
! [X0,X1] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(subsumption_resolution,[],[f2492,f8]) ).
fof(f2492,plain,
! [X0,X1] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[],[f137,f337]) ).
fof(f2546,plain,
! [X0,X1] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2545,f29]) ).
fof(f2545,plain,
! [X0,X1] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(subsumption_resolution,[],[f2491,f8]) ).
fof(f2491,plain,
! [X0,X1] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[],[f137,f336]) ).
fof(f2544,plain,
! [X0,X1] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2543,f28]) ).
fof(f2543,plain,
! [X0,X1] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(subsumption_resolution,[],[f2490,f8]) ).
fof(f2490,plain,
! [X0,X1] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[],[f137,f335]) ).
fof(f2542,plain,
! [X0,X1] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2541,f27]) ).
fof(f2541,plain,
! [X0,X1] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(subsumption_resolution,[],[f2489,f8]) ).
fof(f2489,plain,
! [X0,X1] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[],[f137,f334]) ).
fof(f2540,plain,
! [X0,X1] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2539,f24]) ).
fof(f2539,plain,
! [X0,X1] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(subsumption_resolution,[],[f2488,f8]) ).
fof(f2488,plain,
! [X0,X1] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[],[f137,f333]) ).
fof(f2538,plain,
! [X0,X1] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2537,f23]) ).
fof(f2537,plain,
! [X0,X1] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(subsumption_resolution,[],[f2487,f8]) ).
fof(f2487,plain,
! [X0,X1] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[],[f137,f332]) ).
fof(f2536,plain,
! [X0,X1] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2535,f22]) ).
fof(f2535,plain,
! [X0,X1] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(subsumption_resolution,[],[f2486,f8]) ).
fof(f2486,plain,
! [X0,X1] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[],[f137,f331]) ).
fof(f2534,plain,
! [X0,X1] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2533,f20]) ).
fof(f2533,plain,
! [X0,X1] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(subsumption_resolution,[],[f2485,f8]) ).
fof(f2485,plain,
! [X0,X1] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[],[f137,f330]) ).
fof(f2532,plain,
! [X0,X1] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2531,f19]) ).
fof(f2531,plain,
! [X0,X1] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(subsumption_resolution,[],[f2484,f8]) ).
fof(f2484,plain,
! [X0,X1] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[],[f137,f329]) ).
fof(f2530,plain,
! [X0,X1] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2529,f18]) ).
fof(f2529,plain,
! [X0,X1] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(subsumption_resolution,[],[f2483,f8]) ).
fof(f2483,plain,
! [X0,X1] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[],[f137,f328]) ).
fof(f2528,plain,
! [X0,X1] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2527,f15]) ).
fof(f2527,plain,
! [X0,X1] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(subsumption_resolution,[],[f2482,f8]) ).
fof(f2482,plain,
! [X0,X1] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f137,f327]) ).
fof(f2526,plain,
! [X0,X1] :
( frontsegP(skaf81(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2525,f14]) ).
fof(f2525,plain,
! [X0,X1] :
( frontsegP(skaf81(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(subsumption_resolution,[],[f2481,f8]) ).
fof(f2481,plain,
! [X0,X1] :
( frontsegP(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f137,f326]) ).
fof(f2524,plain,
! [X0,X1] :
( frontsegP(skaf82(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2523,f13]) ).
fof(f2523,plain,
! [X0,X1] :
( frontsegP(skaf82(X0),X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(subsumption_resolution,[],[f2480,f8]) ).
fof(f2480,plain,
! [X0,X1] :
( frontsegP(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f137,f325]) ).
fof(f2518,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 ),
inference(subsumption_resolution,[],[f2515,f85]) ).
fof(f2515,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 ),
inference(duplicate_literal_removal,[],[f2443]) ).
fof(f2443,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| app(X0,X2) = X1 ),
inference(resolution,[],[f137,f129]) ).
fof(f2517,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(subsumption_resolution,[],[f2516,f85]) ).
fof(f2516,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2442,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| app(X0,X2) = app(X1,skaf45(app(X0,X2),X1)) ),
inference(resolution,[],[f137,f132]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f2394,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ rearsegP(X0,sk7)
| sk7 = X0 ),
inference(subsumption_resolution,[],[f2391,f242]) ).
fof(f2391,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk7)
| ~ rearsegP(X0,sk7)
| sk7 = X0 ),
inference(duplicate_literal_removal,[],[f2390]) ).
fof(f2390,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ rearsegP(X0,sk7)
| sk7 = X0 ),
inference(resolution,[],[f2372,f128]) ).
fof(f2393,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| sk7 = app(skaf46(sk7,X0),X0) ),
inference(subsumption_resolution,[],[f2392,f242]) ).
fof(f2392,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk7)
| sk7 = app(skaf46(sk7,X0),X0) ),
inference(duplicate_literal_removal,[],[f2389]) ).
fof(f2389,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| sk7 = app(skaf46(sk7,X0),X0) ),
inference(resolution,[],[f2372,f131]) ).
fof(f2372,plain,
! [X0] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(subsumption_resolution,[],[f2371,f242]) ).
fof(f2371,plain,
! [X0] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f2263,f8]) ).
fof(f2263,plain,
! [X0] :
( rearsegP(sk7,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sk7) ),
inference(superposition,[],[f136,f320]) ).
fof(f2359,plain,
! [X2,X0,X1] :
( rearsegP(skaf42(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2358,f53]) ).
fof(f2358,plain,
! [X2,X0,X1] :
( rearsegP(skaf42(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(subsumption_resolution,[],[f2257,f8]) ).
fof(f2257,plain,
! [X2,X0,X1] :
( rearsegP(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[],[f136,f315]) ).
fof(f2357,plain,
! [X2,X0,X1] :
( rearsegP(skaf43(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2356,f52]) ).
fof(f2356,plain,
! [X2,X0,X1] :
( rearsegP(skaf43(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(subsumption_resolution,[],[f2256,f8]) ).
fof(f2256,plain,
! [X2,X0,X1] :
( rearsegP(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[],[f136,f314]) ).
fof(f2355,plain,
! [X2,X0,X1] :
( rearsegP(skaf45(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2354,f51]) ).
fof(f2354,plain,
! [X2,X0,X1] :
( rearsegP(skaf45(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f2255,f8]) ).
fof(f2255,plain,
! [X2,X0,X1] :
( rearsegP(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[],[f136,f313]) ).
fof(f2351,plain,
! [X2,X0,X1] :
( rearsegP(skaf46(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2350,f50]) ).
fof(f2350,plain,
! [X2,X0,X1] :
( rearsegP(skaf46(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f2253,f8]) ).
fof(f2253,plain,
! [X2,X0,X1] :
( rearsegP(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[],[f136,f312]) ).
fof(f2349,plain,
! [X2,X0,X1] :
( rearsegP(skaf47(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2348,f49]) ).
fof(f2348,plain,
! [X2,X0,X1] :
( rearsegP(skaf47(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f2252,f8]) ).
fof(f2252,plain,
! [X2,X0,X1] :
( rearsegP(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[],[f136,f311]) ).
fof(f2347,plain,
! [X2,X0,X1] :
( rearsegP(skaf48(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2) ),
inference(subsumption_resolution,[],[f2346,f48]) ).
fof(f2346,plain,
! [X2,X0,X1] :
( rearsegP(skaf48(X0,X1),X2)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f2251,f8]) ).
fof(f2251,plain,
! [X2,X0,X1] :
( rearsegP(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[],[f136,f310]) ).
fof(f2345,plain,
! [X0,X1] :
( rearsegP(skaf51(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2344,f44]) ).
fof(f2344,plain,
! [X0,X1] :
( rearsegP(skaf51(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(subsumption_resolution,[],[f2250,f8]) ).
fof(f2250,plain,
! [X0,X1] :
( rearsegP(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[],[f136,f309]) ).
fof(f2343,plain,
! [X0,X1] :
( rearsegP(skaf52(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2342,f43]) ).
fof(f2342,plain,
! [X0,X1] :
( rearsegP(skaf52(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(subsumption_resolution,[],[f2249,f8]) ).
fof(f2249,plain,
! [X0,X1] :
( rearsegP(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[],[f136,f308]) ).
fof(f2341,plain,
! [X0,X1] :
( rearsegP(skaf53(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2340,f42]) ).
fof(f2340,plain,
! [X0,X1] :
( rearsegP(skaf53(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(subsumption_resolution,[],[f2248,f8]) ).
fof(f2248,plain,
! [X0,X1] :
( rearsegP(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[],[f136,f307]) ).
fof(f2339,plain,
! [X0,X1] :
( rearsegP(skaf56(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2338,f39]) ).
fof(f2338,plain,
! [X0,X1] :
( rearsegP(skaf56(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(subsumption_resolution,[],[f2247,f8]) ).
fof(f2247,plain,
! [X0,X1] :
( rearsegP(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[],[f136,f306]) ).
fof(f2337,plain,
! [X0,X1] :
( rearsegP(skaf57(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2336,f38]) ).
fof(f2336,plain,
! [X0,X1] :
( rearsegP(skaf57(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(subsumption_resolution,[],[f2246,f8]) ).
fof(f2246,plain,
! [X0,X1] :
( rearsegP(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[],[f136,f305]) ).
fof(f2335,plain,
! [X0,X1] :
( rearsegP(skaf58(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2334,f37]) ).
fof(f2334,plain,
! [X0,X1] :
( rearsegP(skaf58(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(subsumption_resolution,[],[f2245,f8]) ).
fof(f2245,plain,
! [X0,X1] :
( rearsegP(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[],[f136,f304]) ).
fof(f2333,plain,
! [X0,X1] :
( rearsegP(skaf61(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2332,f34]) ).
fof(f2332,plain,
! [X0,X1] :
( rearsegP(skaf61(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(subsumption_resolution,[],[f2244,f8]) ).
fof(f2244,plain,
! [X0,X1] :
( rearsegP(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[],[f136,f303]) ).
fof(f2331,plain,
! [X0,X1] :
( rearsegP(skaf62(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2330,f33]) ).
fof(f2330,plain,
! [X0,X1] :
( rearsegP(skaf62(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(subsumption_resolution,[],[f2243,f8]) ).
fof(f2243,plain,
! [X0,X1] :
( rearsegP(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[],[f136,f302]) ).
fof(f2329,plain,
! [X0,X1] :
( rearsegP(skaf63(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2328,f32]) ).
fof(f2328,plain,
! [X0,X1] :
( rearsegP(skaf63(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(subsumption_resolution,[],[f2242,f8]) ).
fof(f2242,plain,
! [X0,X1] :
( rearsegP(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[],[f136,f301]) ).
fof(f2327,plain,
! [X0,X1] :
( rearsegP(skaf66(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2326,f29]) ).
fof(f2326,plain,
! [X0,X1] :
( rearsegP(skaf66(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(subsumption_resolution,[],[f2241,f8]) ).
fof(f2241,plain,
! [X0,X1] :
( rearsegP(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[],[f136,f300]) ).
fof(f2325,plain,
! [X0,X1] :
( rearsegP(skaf67(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2324,f28]) ).
fof(f2324,plain,
! [X0,X1] :
( rearsegP(skaf67(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(subsumption_resolution,[],[f2240,f8]) ).
fof(f2240,plain,
! [X0,X1] :
( rearsegP(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[],[f136,f299]) ).
fof(f2323,plain,
! [X0,X1] :
( rearsegP(skaf68(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2322,f27]) ).
fof(f2322,plain,
! [X0,X1] :
( rearsegP(skaf68(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(subsumption_resolution,[],[f2239,f8]) ).
fof(f2239,plain,
! [X0,X1] :
( rearsegP(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[],[f136,f298]) ).
fof(f2321,plain,
! [X0,X1] :
( rearsegP(skaf71(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2320,f24]) ).
fof(f2320,plain,
! [X0,X1] :
( rearsegP(skaf71(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(subsumption_resolution,[],[f2238,f8]) ).
fof(f2238,plain,
! [X0,X1] :
( rearsegP(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[],[f136,f297]) ).
fof(f2319,plain,
! [X0,X1] :
( rearsegP(skaf72(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2318,f23]) ).
fof(f2318,plain,
! [X0,X1] :
( rearsegP(skaf72(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(subsumption_resolution,[],[f2237,f8]) ).
fof(f2237,plain,
! [X0,X1] :
( rearsegP(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[],[f136,f296]) ).
fof(f2317,plain,
! [X0,X1] :
( rearsegP(skaf73(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2316,f22]) ).
fof(f2316,plain,
! [X0,X1] :
( rearsegP(skaf73(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(subsumption_resolution,[],[f2236,f8]) ).
fof(f2236,plain,
! [X0,X1] :
( rearsegP(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[],[f136,f295]) ).
fof(f2315,plain,
! [X0,X1] :
( rearsegP(skaf75(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2314,f20]) ).
fof(f2314,plain,
! [X0,X1] :
( rearsegP(skaf75(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(subsumption_resolution,[],[f2235,f8]) ).
fof(f2235,plain,
! [X0,X1] :
( rearsegP(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[],[f136,f294]) ).
fof(f2313,plain,
! [X0,X1] :
( rearsegP(skaf76(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2312,f19]) ).
fof(f2312,plain,
! [X0,X1] :
( rearsegP(skaf76(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(subsumption_resolution,[],[f2234,f8]) ).
fof(f2234,plain,
! [X0,X1] :
( rearsegP(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[],[f136,f293]) ).
fof(f2311,plain,
! [X0,X1] :
( rearsegP(skaf77(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2310,f18]) ).
fof(f2310,plain,
! [X0,X1] :
( rearsegP(skaf77(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(subsumption_resolution,[],[f2233,f8]) ).
fof(f2233,plain,
! [X0,X1] :
( rearsegP(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[],[f136,f292]) ).
fof(f2309,plain,
! [X0,X1] :
( rearsegP(skaf80(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2308,f15]) ).
fof(f2308,plain,
! [X0,X1] :
( rearsegP(skaf80(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(subsumption_resolution,[],[f2232,f8]) ).
fof(f2232,plain,
! [X0,X1] :
( rearsegP(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f136,f291]) ).
fof(f2307,plain,
! [X0,X1] :
( rearsegP(skaf81(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2306,f14]) ).
fof(f2306,plain,
! [X0,X1] :
( rearsegP(skaf81(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(subsumption_resolution,[],[f2231,f8]) ).
fof(f2231,plain,
! [X0,X1] :
( rearsegP(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f136,f290]) ).
fof(f2305,plain,
! [X0,X1] :
( rearsegP(skaf82(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f2304,f13]) ).
fof(f2304,plain,
! [X0,X1] :
( rearsegP(skaf82(X0),X1)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(subsumption_resolution,[],[f2230,f8]) ).
fof(f2230,plain,
! [X0,X1] :
( rearsegP(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f136,f289]) ).
fof(f2303,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 ),
inference(subsumption_resolution,[],[f2300,f85]) ).
fof(f2300,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 ),
inference(duplicate_literal_removal,[],[f2228]) ).
fof(f2228,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| app(X2,X0) = X1 ),
inference(resolution,[],[f136,f128]) ).
fof(f2302,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(subsumption_resolution,[],[f2301,f85]) ).
fof(f2301,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(duplicate_literal_removal,[],[f2227]) ).
fof(f2227,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X0))
| ~ ssList(X1)
| app(X2,X0) = app(skaf46(app(X2,X0),X1),X1) ),
inference(resolution,[],[f136,f131]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f2114,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf51(X0))),
inference(resolution,[],[f2087,f44]) ).
fof(f2113,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf52(X0))),
inference(resolution,[],[f2087,f43]) ).
fof(f2112,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf53(X0))),
inference(resolution,[],[f2087,f42]) ).
fof(f2111,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf56(X0))),
inference(resolution,[],[f2087,f39]) ).
fof(f2110,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf57(X0))),
inference(resolution,[],[f2087,f38]) ).
fof(f2109,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf58(X0))),
inference(resolution,[],[f2087,f37]) ).
fof(f2108,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf61(X0))),
inference(resolution,[],[f2087,f34]) ).
fof(f2107,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf62(X0))),
inference(resolution,[],[f2087,f33]) ).
fof(f2202,plain,
! [X0,X1] :
( ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2195,f85]) ).
fof(f2195,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f2192]) ).
fof(f2192,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| app(X0,X1) = app(X0,skaf45(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f132,f1843]) ).
fof(f2196,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2191]) ).
fof(f2191,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f132,f61]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f2106,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf63(X0))),
inference(resolution,[],[f2087,f32]) ).
fof(f2105,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf66(X0))),
inference(resolution,[],[f2087,f29]) ).
fof(f2104,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf67(X0))),
inference(resolution,[],[f2087,f28]) ).
fof(f2103,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf68(X0))),
inference(resolution,[],[f2087,f27]) ).
fof(f2102,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf71(X0))),
inference(resolution,[],[f2087,f24]) ).
fof(f2101,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf72(X0))),
inference(resolution,[],[f2087,f23]) ).
fof(f2161,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2152,f85]) ).
fof(f2152,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2151]) ).
fof(f2151,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = app(skaf46(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f131,f1694]) ).
fof(f2153,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f2150]) ).
fof(f2150,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f131,f59]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f2100,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf73(X0))),
inference(resolution,[],[f2087,f22]) ).
fof(f2099,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf75(X0))),
inference(resolution,[],[f2087,f20]) ).
fof(f2098,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf76(X0))),
inference(resolution,[],[f2087,f19]) ).
fof(f2097,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf77(X0))),
inference(resolution,[],[f2087,f18]) ).
fof(f2096,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf80(X0))),
inference(resolution,[],[f2087,f15]) ).
fof(f2095,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf81(X0))),
inference(resolution,[],[f2087,f14]) ).
fof(f2094,plain,
! [X0] : hd(sk1) = hd(app(sk1,skaf82(X0))),
inference(resolution,[],[f2087,f13]) ).
fof(f2131,plain,
hd(sk1) = hd(app(sk1,sk7)),
inference(resolution,[],[f2087,f242]) ).
fof(f2127,plain,
hd(sk1) = hd(app(sk1,sk1)),
inference(resolution,[],[f2087,f186]) ).
fof(f2134,plain,
hd(sk1) = hd(app(sk1,sk1)),
inference(forward_demodulation,[],[f2129,f191]) ).
fof(f2129,plain,
hd(sk1) = hd(app(sk1,sk3)),
inference(resolution,[],[f2087,f188]) ).
fof(f2125,plain,
! [X0] :
( hd(sk1) = hd(app(sk1,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2087,f75]) ).
fof(f2123,plain,
! [X0,X1] :
( hd(sk1) = hd(app(sk1,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2087,f85]) ).
fof(f2121,plain,
! [X0,X1] :
( hd(sk1) = hd(app(sk1,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f2087,f86]) ).
fof(f2087,plain,
! [X0] :
( ~ ssList(X0)
| hd(sk1) = hd(app(sk1,X0)) ),
inference(subsumption_resolution,[],[f2079,f192]) ).
fof(f2079,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk1
| hd(sk1) = hd(app(sk1,X0)) ),
inference(resolution,[],[f123,f186]) ).
fof(f2090,plain,
! [X0] :
( hd(sk1) = hd(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2089,f191]) ).
fof(f2089,plain,
! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ),
inference(subsumption_resolution,[],[f2088,f192]) ).
fof(f2088,plain,
! [X0] :
( nil = sk1
| ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ),
inference(forward_demodulation,[],[f2081,f191]) ).
fof(f2081,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) ),
inference(resolution,[],[f123,f188]) ).
fof(f2077,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = tl(X1)
| hd(app(tl(X1),X0)) = hd(tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f123,f75]) ).
fof(f2075,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = app(X1,X2)
| hd(app(app(X1,X2),X0)) = hd(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f123,f85]) ).
fof(f2085,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| hd(app(cons(X1,X2),X0)) = hd(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f2073,f98]) ).
fof(f2073,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = cons(X1,X2)
| hd(app(cons(X1,X2),X0)) = hd(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(resolution,[],[f123,f86]) ).
fof(f2072,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf42(X1,X2)
| hd(app(skaf42(X1,X2),X0)) = hd(skaf42(X1,X2)) ),
inference(resolution,[],[f123,f53]) ).
fof(f2071,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf43(X1,X2)
| hd(app(skaf43(X1,X2),X0)) = hd(skaf43(X1,X2)) ),
inference(resolution,[],[f123,f52]) ).
fof(f2070,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf45(X1,X2)
| hd(app(skaf45(X1,X2),X0)) = hd(skaf45(X1,X2)) ),
inference(resolution,[],[f123,f51]) ).
fof(f2069,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf46(X1,X2)
| hd(app(skaf46(X1,X2),X0)) = hd(skaf46(X1,X2)) ),
inference(resolution,[],[f123,f50]) ).
fof(f2068,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf47(X1,X2)
| hd(app(skaf47(X1,X2),X0)) = hd(skaf47(X1,X2)) ),
inference(resolution,[],[f123,f49]) ).
fof(f2067,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| nil = skaf48(X1,X2)
| hd(app(skaf48(X1,X2),X0)) = hd(skaf48(X1,X2)) ),
inference(resolution,[],[f123,f48]) ).
fof(f2066,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf51(X1)
| hd(app(skaf51(X1),X0)) = hd(skaf51(X1)) ),
inference(resolution,[],[f123,f44]) ).
fof(f2065,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf52(X1)
| hd(app(skaf52(X1),X0)) = hd(skaf52(X1)) ),
inference(resolution,[],[f123,f43]) ).
fof(f2064,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf53(X1)
| hd(app(skaf53(X1),X0)) = hd(skaf53(X1)) ),
inference(resolution,[],[f123,f42]) ).
fof(f2063,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf56(X1)
| hd(app(skaf56(X1),X0)) = hd(skaf56(X1)) ),
inference(resolution,[],[f123,f39]) ).
fof(f2062,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf57(X1)
| hd(app(skaf57(X1),X0)) = hd(skaf57(X1)) ),
inference(resolution,[],[f123,f38]) ).
fof(f2061,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf58(X1)
| hd(app(skaf58(X1),X0)) = hd(skaf58(X1)) ),
inference(resolution,[],[f123,f37]) ).
fof(f2060,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf61(X1)
| hd(app(skaf61(X1),X0)) = hd(skaf61(X1)) ),
inference(resolution,[],[f123,f34]) ).
fof(f2059,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf62(X1)
| hd(app(skaf62(X1),X0)) = hd(skaf62(X1)) ),
inference(resolution,[],[f123,f33]) ).
fof(f2058,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf63(X1)
| hd(app(skaf63(X1),X0)) = hd(skaf63(X1)) ),
inference(resolution,[],[f123,f32]) ).
fof(f2057,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf66(X1)
| hd(app(skaf66(X1),X0)) = hd(skaf66(X1)) ),
inference(resolution,[],[f123,f29]) ).
fof(f2056,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf67(X1)
| hd(app(skaf67(X1),X0)) = hd(skaf67(X1)) ),
inference(resolution,[],[f123,f28]) ).
fof(f2055,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf68(X1)
| hd(app(skaf68(X1),X0)) = hd(skaf68(X1)) ),
inference(resolution,[],[f123,f27]) ).
fof(f2054,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf71(X1)
| hd(app(skaf71(X1),X0)) = hd(skaf71(X1)) ),
inference(resolution,[],[f123,f24]) ).
fof(f2053,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf72(X1)
| hd(app(skaf72(X1),X0)) = hd(skaf72(X1)) ),
inference(resolution,[],[f123,f23]) ).
fof(f2052,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf73(X1)
| hd(app(skaf73(X1),X0)) = hd(skaf73(X1)) ),
inference(resolution,[],[f123,f22]) ).
fof(f2051,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf75(X1)
| hd(app(skaf75(X1),X0)) = hd(skaf75(X1)) ),
inference(resolution,[],[f123,f20]) ).
fof(f2050,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf76(X1)
| hd(app(skaf76(X1),X0)) = hd(skaf76(X1)) ),
inference(resolution,[],[f123,f19]) ).
fof(f2049,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf77(X1)
| hd(app(skaf77(X1),X0)) = hd(skaf77(X1)) ),
inference(resolution,[],[f123,f18]) ).
fof(f2048,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf80(X1)
| hd(app(skaf80(X1),X0)) = hd(skaf80(X1)) ),
inference(resolution,[],[f123,f15]) ).
fof(f2047,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf81(X1)
| hd(app(skaf81(X1),X0)) = hd(skaf81(X1)) ),
inference(resolution,[],[f123,f14]) ).
fof(f2046,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = skaf82(X1)
| hd(app(skaf82(X1),X0)) = hd(skaf82(X1)) ),
inference(resolution,[],[f123,f13]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1952,plain,
( frontsegP(sk1,app(sk7,cons(sk6,nil)))
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(subsumption_resolution,[],[f1948,f244]) ).
fof(f1948,plain,
( frontsegP(sk1,app(sk7,cons(sk6,nil)))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(sk8) ),
inference(superposition,[],[f1843,f512]) ).
fof(f1951,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 ),
inference(subsumption_resolution,[],[f1950,f85]) ).
fof(f1950,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f1882]) ).
fof(f1882,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(X0,X1))
| app(X0,X1) = X0 ),
inference(resolution,[],[f1843,f129]) ).
fof(f1843,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f214,f85]) ).
fof(f1783,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(subsumption_resolution,[],[f1782,f85]) ).
fof(f1782,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(duplicate_literal_removal,[],[f1712]) ).
fof(f1712,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0))
| app(X1,X0) = X0 ),
inference(resolution,[],[f1694,f128]) ).
fof(f1694,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f213,f85]) ).
fof(f746,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f517,f20]) ).
fof(f745,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f517,f19]) ).
fof(f744,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f517,f18]) ).
fof(f743,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f517,f15]) ).
fof(f742,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f517,f14]) ).
fof(f741,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f517,f13]) ).
fof(f1682,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1681,f87]) ).
fof(f1681,plain,
! [X0] :
( ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1680,f46]) ).
fof(f1680,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1674,f45]) ).
fof(f1674,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f88]) ).
fof(f1679,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1678,f88]) ).
fof(f1678,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1677,f45]) ).
fof(f1677,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1673,f46]) ).
fof(f1673,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f1675,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ geq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f1672,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
inference(resolution,[],[f130,f107]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f994,plain,
( nil = sk8
| sk8 = cons(hd(sk8),tl(sk8)) ),
inference(resolution,[],[f104,f244]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1423,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1) ),
inference(subsumption_resolution,[],[f1422,f12]) ).
fof(f1422,plain,
( ~ strictorderedP(sk1)
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1)) ),
inference(subsumption_resolution,[],[f1419,f13]) ).
fof(f1419,plain,
( ~ strictorderedP(sk1)
| ~ ssList(skaf82(sk1))
| strictorderedP(skaf82(sk1))
| nil = skaf82(sk1)
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[],[f124,f1065]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f993,plain,
( nil = sk7
| sk7 = cons(hd(sk7),tl(sk7)) ),
inference(resolution,[],[f104,f242]) ).
fof(f990,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f938,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f586,f44]) ).
fof(f937,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f586,f43]) ).
fof(f936,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f586,f42]) ).
fof(f935,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f586,f39]) ).
fof(f934,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f586,f38]) ).
fof(f933,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f586,f37]) ).
fof(f932,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f586,f34]) ).
fof(f931,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f586,f33]) ).
fof(f930,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f586,f32]) ).
fof(f929,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f586,f29]) ).
fof(f1344,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1343,f35]) ).
fof(f1343,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1335,f36]) ).
fof(f1335,plain,
! [X0] :
( ~ ssItem(skaf59(X0))
| ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f93]) ).
fof(f1342,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1341,f36]) ).
fof(f1341,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1334,f35]) ).
fof(f1334,plain,
! [X0] :
( ~ ssItem(skaf60(X0))
| ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f92]) ).
fof(f1340,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1339,f25]) ).
fof(f1339,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1333,f26]) ).
fof(f1333,plain,
! [X0] :
( ~ ssItem(skaf69(X0))
| ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f90]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1331]) ).
fof(f1331,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(resolution,[],[f121,f114]) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f928,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f586,f28]) ).
fof(f927,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f586,f27]) ).
fof(f926,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f586,f24]) ).
fof(f925,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f586,f23]) ).
fof(f924,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f586,f22]) ).
fof(f923,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f586,f20]) ).
fof(f922,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f586,f19]) ).
fof(f921,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f586,f18]) ).
fof(f920,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f586,f15]) ).
fof(f919,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f586,f14]) ).
fof(f918,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f586,f13]) ).
fof(f1318,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) ),
inference(resolution,[],[f120,f240]) ).
fof(f1316,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f120,f76]) ).
fof(f1315,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
inference(resolution,[],[f120,f47]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
inference(resolution,[],[f120,f46]) ).
fof(f1313,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
inference(resolution,[],[f120,f45]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
inference(resolution,[],[f120,f41]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
inference(resolution,[],[f120,f40]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
inference(resolution,[],[f120,f36]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
inference(resolution,[],[f120,f35]) ).
fof(f1308,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
inference(resolution,[],[f120,f31]) ).
fof(f1307,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
inference(resolution,[],[f120,f30]) ).
fof(f1306,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
inference(resolution,[],[f120,f26]) ).
fof(f1305,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
inference(resolution,[],[f120,f25]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
inference(resolution,[],[f120,f21]) ).
fof(f1303,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
inference(resolution,[],[f120,f17]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
inference(resolution,[],[f120,f16]) ).
fof(f1301,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
inference(resolution,[],[f120,f12]) ).
fof(f1300,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) = app(cons(skac2,nil),X0) ),
inference(resolution,[],[f120,f10]) ).
fof(f1299,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) = app(cons(skac3,nil),X0) ),
inference(resolution,[],[f120,f9]) ).
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(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f1079,plain,
sk1 != skaf82(sk1),
inference(subsumption_resolution,[],[f1078,f12]) ).
fof(f1078,plain,
( sk1 != skaf82(sk1)
| ~ ssItem(skaf83(sk1)) ),
inference(subsumption_resolution,[],[f1072,f13]) ).
fof(f1072,plain,
( sk1 != skaf82(sk1)
| ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[],[f99,f1065]) ).
fof(f1077,plain,
memberP(sk1,skaf83(sk1)),
inference(subsumption_resolution,[],[f1076,f12]) ).
fof(f1076,plain,
( memberP(sk1,skaf83(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(subsumption_resolution,[],[f1071,f13]) ).
fof(f1071,plain,
( memberP(sk1,skaf83(sk1))
| ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[],[f229,f1065]) ).
fof(f1065,plain,
sk1 = cons(skaf83(sk1),skaf82(sk1)),
inference(subsumption_resolution,[],[f1058,f192]) ).
fof(f1058,plain,
( nil = sk1
| sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
inference(resolution,[],[f109,f186]) ).
fof(f1070,plain,
( sk2 = cons(skaf83(sk2),skaf82(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1069,f190]) ).
fof(f1069,plain,
( nil = sk2
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(forward_demodulation,[],[f1061,f190]) ).
fof(f1061,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
inference(resolution,[],[f109,f189]) ).
fof(f1068,plain,
sk1 = cons(skaf83(sk1),skaf82(sk1)),
inference(forward_demodulation,[],[f1067,f191]) ).
fof(f1067,plain,
sk3 = cons(skaf83(sk3),skaf82(sk3)),
inference(subsumption_resolution,[],[f1066,f192]) ).
fof(f1066,plain,
( nil = sk1
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(forward_demodulation,[],[f1060,f191]) ).
fof(f1060,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
inference(resolution,[],[f109,f188]) ).
fof(f1059,plain,
( nil = sk2
| sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
inference(resolution,[],[f109,f187]) ).
fof(f1057,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f1056,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f109,f85]) ).
fof(f1064,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1055,f98]) ).
fof(f1055,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f109,f86]) ).
fof(f1054,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1053,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1052,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1051,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1050,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1049,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1048,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1047,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1046,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1045,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1044,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1043,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1042,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1041,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1040,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1039,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1038,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1037,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1036,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1035,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1034,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1033,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1032,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1031,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1030,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1029,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1028,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f917,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f586,f8]) ).
fof(f1010,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1)) ),
inference(subsumption_resolution,[],[f1009,f186]) ).
fof(f1009,plain,
( sk1 != tl(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk1)) ),
inference(inner_rewriting,[],[f1005]) ).
fof(f1005,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1)) ),
inference(superposition,[],[f99,f996]) ).
fof(f1004,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1)) ),
inference(superposition,[],[f229,f996]) ).
fof(f996,plain,
sk1 = cons(hd(sk1),tl(sk1)),
inference(subsumption_resolution,[],[f989,f192]) ).
fof(f989,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f953,plain,
skac2 = hd(cons(skac2,sk8)),
inference(resolution,[],[f586,f244]) ).
fof(f952,plain,
skac2 = hd(cons(skac2,sk7)),
inference(resolution,[],[f586,f242]) ).
fof(f1001,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| nil = sk2 ),
inference(forward_demodulation,[],[f1000,f190]) ).
fof(f1000,plain,
( nil = sk2
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(forward_demodulation,[],[f992,f190]) ).
fof(f992,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4)) ),
inference(resolution,[],[f104,f189]) ).
fof(f999,plain,
sk1 = cons(hd(sk1),tl(sk1)),
inference(forward_demodulation,[],[f998,f191]) ).
fof(f998,plain,
sk3 = cons(hd(sk3),tl(sk3)),
inference(subsumption_resolution,[],[f997,f192]) ).
fof(f997,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f991,f191]) ).
fof(f991,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f988,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f987,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f104,f85]) ).
fof(f995,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f986,f98]) ).
fof(f986,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f104,f86]) ).
fof(f985,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f984,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f983,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f982,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f981,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f980,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f979,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f978,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f977,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f976,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f975,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f974,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f973,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f972,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f971,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f970,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f969,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f968,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f967,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f966,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f965,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f964,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f963,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f962,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f961,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f960,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f959,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f949,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f586,f187]) ).
fof(f948,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f586,f186]) ).
fof(f955,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f951,f190]) ).
fof(f951,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f586,f189]) ).
fof(f954,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f950,f191]) ).
fof(f950,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f586,f188]) ).
fof(f947,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f586,f75]) ).
fof(f946,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f586,f85]) ).
fof(f945,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f586,f86]) ).
fof(f944,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f586,f53]) ).
fof(f943,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f586,f52]) ).
fof(f942,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f586,f51]) ).
fof(f941,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f586,f50]) ).
fof(f940,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f586,f49]) ).
fof(f939,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f586,f48]) ).
fof(f586,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f871,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f585,f44]) ).
fof(f870,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f585,f43]) ).
fof(f869,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f585,f42]) ).
fof(f868,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f585,f39]) ).
fof(f867,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f585,f38]) ).
fof(f866,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f585,f37]) ).
fof(f865,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f585,f34]) ).
fof(f864,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f585,f33]) ).
fof(f908,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f907]) ).
fof(f907,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f208,f101]) ).
fof(f208,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
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(f863,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f585,f32]) ).
fof(f862,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f585,f29]) ).
fof(f861,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f585,f28]) ).
fof(f860,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f585,f27]) ).
fof(f859,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f585,f24]) ).
fof(f858,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f585,f23]) ).
fof(f857,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f585,f22]) ).
fof(f856,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f585,f20]) ).
fof(f855,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f585,f19]) ).
fof(f854,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f585,f18]) ).
fof(f853,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f585,f15]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f852,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f585,f14]) ).
fof(f851,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f585,f13]) ).
fof(f850,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f585,f8]) ).
fof(f886,plain,
skac3 = hd(cons(skac3,sk8)),
inference(resolution,[],[f585,f244]) ).
fof(f885,plain,
skac3 = hd(cons(skac3,sk7)),
inference(resolution,[],[f585,f242]) ).
fof(f882,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f585,f187]) ).
fof(f881,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f585,f186]) ).
fof(f888,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f884,f190]) ).
fof(f884,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f585,f189]) ).
fof(f887,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f883,f191]) ).
fof(f883,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f585,f188]) ).
fof(f880,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f585,f75]) ).
fof(f879,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f585,f85]) ).
fof(f878,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f585,f86]) ).
fof(f877,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f585,f53]) ).
fof(f876,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f585,f52]) ).
fof(f875,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f585,f51]) ).
fof(f874,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f585,f50]) ).
fof(f873,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f585,f49]) ).
fof(f872,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f585,f48]) ).
fof(f585,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f799,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f518,f8]) ).
fof(f847,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f846]) ).
fof(f846,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f835,plain,
sk8 = tl(cons(skac2,sk8)),
inference(resolution,[],[f518,f244]) ).
fof(f834,plain,
sk7 = tl(cons(skac2,sk7)),
inference(resolution,[],[f518,f242]) ).
fof(f831,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f518,f187]) ).
fof(f830,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f518,f186]) ).
fof(f837,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f833,f190]) ).
fof(f833,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f518,f189]) ).
fof(f836,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f832,f191]) ).
fof(f832,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f518,f188]) ).
fof(f829,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f518,f75]) ).
fof(f828,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f518,f85]) ).
fof(f827,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f518,f86]) ).
fof(f826,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f518,f53]) ).
fof(f825,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f518,f52]) ).
fof(f824,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f518,f51]) ).
fof(f823,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f518,f50]) ).
fof(f822,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f518,f49]) ).
fof(f821,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f518,f48]) ).
fof(f820,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f518,f44]) ).
fof(f819,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f518,f43]) ).
fof(f818,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f518,f42]) ).
fof(f817,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f518,f39]) ).
fof(f816,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f518,f38]) ).
fof(f815,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f518,f37]) ).
fof(f814,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f518,f34]) ).
fof(f813,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f518,f33]) ).
fof(f812,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f518,f32]) ).
fof(f811,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f518,f29]) ).
fof(f810,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f518,f28]) ).
fof(f809,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f518,f27]) ).
fof(f808,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f518,f24]) ).
fof(f807,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f518,f23]) ).
fof(f806,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f518,f22]) ).
fof(f805,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f518,f20]) ).
fof(f804,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f518,f19]) ).
fof(f803,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f518,f18]) ).
fof(f802,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f518,f15]) ).
fof(f801,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f518,f14]) ).
fof(f800,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f518,f13]) ).
fof(f518,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f740,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f517,f8]) ).
fof(f776,plain,
sk8 = tl(cons(skac3,sk8)),
inference(resolution,[],[f517,f244]) ).
fof(f794,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f793,f46]) ).
fof(f793,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f788,f45]) ).
fof(f788,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f792,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f791,f45]) ).
fof(f791,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f787,f46]) ).
fof(f787,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f87]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f775,plain,
sk7 = tl(cons(skac3,sk7)),
inference(resolution,[],[f517,f242]) ).
fof(f772,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f517,f187]) ).
fof(f771,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f517,f186]) ).
fof(f778,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f774,f190]) ).
fof(f774,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f517,f189]) ).
fof(f777,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f773,f191]) ).
fof(f773,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f517,f188]) ).
fof(f770,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f517,f75]) ).
fof(f769,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f517,f85]) ).
fof(f768,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f517,f86]) ).
fof(f767,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f517,f53]) ).
fof(f766,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f517,f52]) ).
fof(f765,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f517,f51]) ).
fof(f764,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f517,f50]) ).
fof(f763,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f517,f49]) ).
fof(f762,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f517,f48]) ).
fof(f761,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f517,f44]) ).
fof(f760,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f517,f43]) ).
fof(f759,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f517,f42]) ).
fof(f758,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f517,f39]) ).
fof(f757,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f517,f38]) ).
fof(f756,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f517,f37]) ).
fof(f755,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f517,f34]) ).
fof(f754,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f517,f33]) ).
fof(f753,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f517,f32]) ).
fof(f752,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f517,f29]) ).
fof(f751,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f517,f28]) ).
fof(f750,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f517,f27]) ).
fof(f749,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f517,f24]) ).
fof(f748,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f517,f23]) ).
fof(f747,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f517,f22]) ).
fof(f517,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f563,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(sk6,skaf42(X0,X1))),
inference(resolution,[],[f535,f53]) ).
fof(f562,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(sk6,skaf43(X0,X1))),
inference(resolution,[],[f535,f52]) ).
fof(f561,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(sk6,skaf45(X0,X1))),
inference(resolution,[],[f535,f51]) ).
fof(f560,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(sk6,skaf46(X0,X1))),
inference(resolution,[],[f535,f50]) ).
fof(f559,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(sk6,skaf47(X0,X1))),
inference(resolution,[],[f535,f49]) ).
fof(f558,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(sk6,skaf48(X0,X1))),
inference(resolution,[],[f535,f48]) ).
fof(f631,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf42(X0,X1))),
inference(resolution,[],[f603,f53]) ).
fof(f726,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f725,f41]) ).
fof(f725,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f720,f40]) ).
fof(f720,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f724,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f723,f40]) ).
fof(f723,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f719,f41]) ).
fof(f719,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f722,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f721,f31]) ).
fof(f721,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f718,f30]) ).
fof(f718,plain,
! [X0] :
( ~ ssItem(skaf65(X0))
| ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f91]) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f630,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf43(X0,X1))),
inference(resolution,[],[f603,f52]) ).
fof(f629,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf45(X0,X1))),
inference(resolution,[],[f603,f51]) ).
fof(f628,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf46(X0,X1))),
inference(resolution,[],[f603,f50]) ).
fof(f627,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf47(X0,X1))),
inference(resolution,[],[f603,f49]) ).
fof(f626,plain,
! [X0,X1] : sk6 = hd(cons(sk6,skaf48(X0,X1))),
inference(resolution,[],[f603,f48]) ).
fof(f557,plain,
! [X0] : skaf51(X0) = tl(cons(sk6,skaf51(X0))),
inference(resolution,[],[f535,f44]) ).
fof(f556,plain,
! [X0] : skaf52(X0) = tl(cons(sk6,skaf52(X0))),
inference(resolution,[],[f535,f43]) ).
fof(f555,plain,
! [X0] : skaf53(X0) = tl(cons(sk6,skaf53(X0))),
inference(resolution,[],[f535,f42]) ).
fof(f554,plain,
! [X0] : skaf56(X0) = tl(cons(sk6,skaf56(X0))),
inference(resolution,[],[f535,f39]) ).
fof(f553,plain,
! [X0] : skaf57(X0) = tl(cons(sk6,skaf57(X0))),
inference(resolution,[],[f535,f38]) ).
fof(f552,plain,
! [X0] : skaf58(X0) = tl(cons(sk6,skaf58(X0))),
inference(resolution,[],[f535,f37]) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f551,plain,
! [X0] : skaf61(X0) = tl(cons(sk6,skaf61(X0))),
inference(resolution,[],[f535,f34]) ).
fof(f550,plain,
! [X0] : skaf62(X0) = tl(cons(sk6,skaf62(X0))),
inference(resolution,[],[f535,f33]) ).
fof(f549,plain,
! [X0] : skaf63(X0) = tl(cons(sk6,skaf63(X0))),
inference(resolution,[],[f535,f32]) ).
fof(f548,plain,
! [X0] : skaf66(X0) = tl(cons(sk6,skaf66(X0))),
inference(resolution,[],[f535,f29]) ).
fof(f547,plain,
! [X0] : skaf67(X0) = tl(cons(sk6,skaf67(X0))),
inference(resolution,[],[f535,f28]) ).
fof(f546,plain,
! [X0] : skaf68(X0) = tl(cons(sk6,skaf68(X0))),
inference(resolution,[],[f535,f27]) ).
fof(f545,plain,
! [X0] : skaf71(X0) = tl(cons(sk6,skaf71(X0))),
inference(resolution,[],[f535,f24]) ).
fof(f544,plain,
! [X0] : skaf72(X0) = tl(cons(sk6,skaf72(X0))),
inference(resolution,[],[f535,f23]) ).
fof(f543,plain,
! [X0] : skaf73(X0) = tl(cons(sk6,skaf73(X0))),
inference(resolution,[],[f535,f22]) ).
fof(f542,plain,
! [X0] : skaf75(X0) = tl(cons(sk6,skaf75(X0))),
inference(resolution,[],[f535,f20]) ).
fof(f541,plain,
! [X0] : skaf76(X0) = tl(cons(sk6,skaf76(X0))),
inference(resolution,[],[f535,f19]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f540,plain,
! [X0] : skaf77(X0) = tl(cons(sk6,skaf77(X0))),
inference(resolution,[],[f535,f18]) ).
fof(f539,plain,
! [X0] : skaf80(X0) = tl(cons(sk6,skaf80(X0))),
inference(resolution,[],[f535,f15]) ).
fof(f538,plain,
! [X0] : skaf81(X0) = tl(cons(sk6,skaf81(X0))),
inference(resolution,[],[f535,f14]) ).
fof(f537,plain,
! [X0] : skaf82(X0) = tl(cons(sk6,skaf82(X0))),
inference(resolution,[],[f535,f13]) ).
fof(f625,plain,
! [X0] : sk6 = hd(cons(sk6,skaf51(X0))),
inference(resolution,[],[f603,f44]) ).
fof(f624,plain,
! [X0] : sk6 = hd(cons(sk6,skaf52(X0))),
inference(resolution,[],[f603,f43]) ).
fof(f623,plain,
! [X0] : sk6 = hd(cons(sk6,skaf53(X0))),
inference(resolution,[],[f603,f42]) ).
fof(f622,plain,
! [X0] : sk6 = hd(cons(sk6,skaf56(X0))),
inference(resolution,[],[f603,f39]) ).
fof(f621,plain,
! [X0] : sk6 = hd(cons(sk6,skaf57(X0))),
inference(resolution,[],[f603,f38]) ).
fof(f620,plain,
! [X0] : sk6 = hd(cons(sk6,skaf58(X0))),
inference(resolution,[],[f603,f37]) ).
fof(f619,plain,
! [X0] : sk6 = hd(cons(sk6,skaf61(X0))),
inference(resolution,[],[f603,f34]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f618,plain,
! [X0] : sk6 = hd(cons(sk6,skaf62(X0))),
inference(resolution,[],[f603,f33]) ).
fof(f617,plain,
! [X0] : sk6 = hd(cons(sk6,skaf63(X0))),
inference(resolution,[],[f603,f32]) ).
fof(f616,plain,
! [X0] : sk6 = hd(cons(sk6,skaf66(X0))),
inference(resolution,[],[f603,f29]) ).
fof(f615,plain,
! [X0] : sk6 = hd(cons(sk6,skaf67(X0))),
inference(resolution,[],[f603,f28]) ).
fof(f614,plain,
! [X0] : sk6 = hd(cons(sk6,skaf68(X0))),
inference(resolution,[],[f603,f27]) ).
fof(f613,plain,
! [X0] : sk6 = hd(cons(sk6,skaf71(X0))),
inference(resolution,[],[f603,f24]) ).
fof(f612,plain,
! [X0] : sk6 = hd(cons(sk6,skaf72(X0))),
inference(resolution,[],[f603,f23]) ).
fof(f611,plain,
! [X0] : sk6 = hd(cons(sk6,skaf73(X0))),
inference(resolution,[],[f603,f22]) ).
fof(f610,plain,
! [X0] : sk6 = hd(cons(sk6,skaf75(X0))),
inference(resolution,[],[f603,f20]) ).
fof(f609,plain,
! [X0] : sk6 = hd(cons(sk6,skaf76(X0))),
inference(resolution,[],[f603,f19]) ).
fof(f608,plain,
! [X0] : sk6 = hd(cons(sk6,skaf77(X0))),
inference(resolution,[],[f603,f18]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f607,plain,
! [X0] : sk6 = hd(cons(sk6,skaf80(X0))),
inference(resolution,[],[f603,f15]) ).
fof(f606,plain,
! [X0] : sk6 = hd(cons(sk6,skaf81(X0))),
inference(resolution,[],[f603,f14]) ).
fof(f605,plain,
! [X0] : sk6 = hd(cons(sk6,skaf82(X0))),
inference(resolution,[],[f603,f13]) ).
fof(f640,plain,
sk6 = hd(cons(sk6,sk8)),
inference(resolution,[],[f603,f244]) ).
fof(f639,plain,
sk6 = hd(cons(sk6,sk7)),
inference(resolution,[],[f603,f242]) ).
fof(f636,plain,
sk6 = hd(cons(sk6,sk2)),
inference(resolution,[],[f603,f187]) ).
fof(f635,plain,
sk6 = hd(cons(sk6,sk1)),
inference(resolution,[],[f603,f186]) ).
fof(f604,plain,
sk6 = hd(cons(sk6,nil)),
inference(resolution,[],[f603,f8]) ).
fof(f642,plain,
sk6 = hd(cons(sk6,sk2)),
inference(forward_demodulation,[],[f638,f190]) ).
fof(f638,plain,
sk6 = hd(cons(sk6,sk4)),
inference(resolution,[],[f603,f189]) ).
fof(f641,plain,
sk6 = hd(cons(sk6,sk1)),
inference(forward_demodulation,[],[f637,f191]) ).
fof(f637,plain,
sk6 = hd(cons(sk6,sk3)),
inference(resolution,[],[f603,f188]) ).
fof(f634,plain,
! [X0] :
( sk6 = hd(cons(sk6,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f603,f75]) ).
fof(f633,plain,
! [X0,X1] :
( sk6 = hd(cons(sk6,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f603,f85]) ).
fof(f632,plain,
! [X0,X1] :
( sk6 = hd(cons(sk6,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f603,f86]) ).
fof(f603,plain,
! [X0] :
( ~ ssList(X0)
| sk6 = hd(cons(sk6,X0)) ),
inference(resolution,[],[f97,f240]) ).
fof(f602,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f601,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f600,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f599,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f598,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f597,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f596,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f595,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f594,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f593,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f592,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f591,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f590,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f589,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f588,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f587,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f572,plain,
sk8 = tl(cons(sk6,sk8)),
inference(resolution,[],[f535,f244]) ).
fof(f571,plain,
sk7 = tl(cons(sk6,sk7)),
inference(resolution,[],[f535,f242]) ).
fof(f568,plain,
sk2 = tl(cons(sk6,sk2)),
inference(resolution,[],[f535,f187]) ).
fof(f567,plain,
sk1 = tl(cons(sk6,sk1)),
inference(resolution,[],[f535,f186]) ).
fof(f536,plain,
nil = tl(cons(sk6,nil)),
inference(resolution,[],[f535,f8]) ).
fof(f574,plain,
sk2 = tl(cons(sk6,sk2)),
inference(forward_demodulation,[],[f570,f190]) ).
fof(f570,plain,
sk4 = tl(cons(sk6,sk4)),
inference(resolution,[],[f535,f189]) ).
fof(f573,plain,
sk1 = tl(cons(sk6,sk1)),
inference(forward_demodulation,[],[f569,f191]) ).
fof(f569,plain,
sk3 = tl(cons(sk6,sk3)),
inference(resolution,[],[f535,f188]) ).
fof(f566,plain,
! [X0] :
( tl(X0) = tl(cons(sk6,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f535,f75]) ).
fof(f565,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(sk6,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f535,f85]) ).
fof(f564,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(sk6,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f535,f86]) ).
fof(f535,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 ),
inference(resolution,[],[f96,f240]) ).
fof(f534,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f533,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f532,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f531,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f530,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f529,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f528,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f527,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f526,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f525,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f524,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f523,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f522,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f521,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f520,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f519,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f351,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f512,plain,
sk1 = app(app(sk7,cons(sk6,nil)),sk8),
inference(forward_demodulation,[],[f511,f191]) ).
fof(f511,plain,
sk3 = app(app(sk7,cons(sk6,nil)),sk8),
inference(subsumption_resolution,[],[f510,f192]) ).
fof(f510,plain,
( nil = sk1
| sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
inference(forward_demodulation,[],[f201,f191]) ).
fof(f350,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f349,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f348,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f347,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f346,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f315,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f314,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f313,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f312,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f311,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f310,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f229,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,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(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f434,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f433,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f379,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f378,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f345,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f344,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f343,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f342,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f341,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f340,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f339,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f338,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f337,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f336,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f335,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f334,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f333,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f332,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f331,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f330,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f329,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f328,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f327,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f326,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f325,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f309,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f308,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f307,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f306,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f305,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f304,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f303,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f302,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f301,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f300,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f299,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f298,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f297,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f296,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f295,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f294,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f361,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f360,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f293,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f292,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f291,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f290,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f289,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f357,plain,
sk8 = app(nil,sk8),
inference(resolution,[],[f74,f244]) ).
fof(f356,plain,
sk7 = app(nil,sk7),
inference(resolution,[],[f74,f242]) ).
fof(f353,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f352,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f359,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f355,f190]) ).
fof(f355,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f358,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f354,f191]) ).
fof(f354,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f321,plain,
sk8 = app(sk8,nil),
inference(resolution,[],[f73,f244]) ).
fof(f320,plain,
sk7 = app(sk7,nil),
inference(resolution,[],[f73,f242]) ).
fof(f317,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f316,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f323,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f319,f190]) ).
fof(f319,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f322,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f318,f191]) ).
fof(f318,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f236,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203,f231,f204,f232,f205,f233,f80,f82,f84,f78,f76,f77,f75,f109,f104,f230,f110,f105,f107,f114,f106,f103,f108,f157,f208,f209,f234,f210,f235,f169,f149,f131,f168,f132,f118,f119,f123,f133,f229,f139,f126,f130,f122,f121,f140,f141,f124,f125,f134,f135,f136,f137,f151,f150,f213,f214,f228]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f244,plain,
ssList(sk8),
inference(subsumption_resolution,[],[f243,f192]) ).
fof(f243,plain,
( nil = sk1
| ssList(sk8) ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f242,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f241,f192]) ).
fof(f241,plain,
( nil = sk1
| ssList(sk7) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f240,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f239,f192]) ).
fof(f239,plain,
( nil = sk1
| ssItem(sk6) ),
inference(forward_demodulation,[],[f198,f191]) ).
fof(f233,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203,f231,f204,f232,f205]) ).
fof(f232,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203,f231,f204]) ).
fof(f231,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f226,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(f225,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(f224,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(f223,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(f222,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(f221,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(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(f219,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(f218,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(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(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(f217,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(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(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(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(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(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(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(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(f228,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f214,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(f213,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(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(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(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(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(f235,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203,f231,f204,f232,f205,f233,f80,f82,f84,f78,f76,f77,f75,f109,f104,f230,f110,f105,f107,f114,f106,f103,f108,f157,f208,f209,f234,f210]) ).
fof(f210,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f234,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f187,f188,f186,f192,f190,f191,f198,f200,f199,f201,f193,f197,f195,f194,f196,f202,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f21,f17,f16,f25,f30,f26,f31,f35,f36,f40,f46,f41,f45,f44,f43,f38,f32,f29,f39,f28,f27,f42,f24,f13,f14,f15,f18,f19,f20,f33,f22,f34,f37,f23,f48,f53,f49,f52,f51,f50,f71,f63,f55,f62,f65,f64,f68,f70,f69,f67,f66,f60,f57,f56,f59,f58,f61,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f165,f167,f166,f90,f91,f163,f164,f203,f231,f204,f232,f205,f233,f80,f82,f84,f78,f76,f77,f75,f109,f104,f230,f110,f105,f107,f114,f106,f103,f108,f157,f208,f209]) ).
fof(f209,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
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(f230,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f205,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f204,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f203,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
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(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(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(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(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(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(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(f202,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk8,X6)
| ~ memberP(sk7,X6)
| ~ leq(sk6,X6)
| nil = sk3
| leq(X6,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f197,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(sk5(X8,X7,X6),X6)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f201,axiom,
( nil = sk3
| sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f199,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f200,axiom,
( ssList(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f5206,plain,
leq(sk6,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f5205,f240]) ).
fof(f5205,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5204,f244]) ).
fof(f5204,plain,
( ~ ssList(sk8)
| leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5199,f242]) ).
fof(f5199,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f5198]) ).
fof(f5198,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f196,f512]) ).
fof(f5296,plain,
~ leq(sk6,sk6),
inference(forward_demodulation,[],[f5295,f5214]) ).
fof(f5295,plain,
~ leq(sk5(sk8,sk7,sk6),sk6),
inference(subsumption_resolution,[],[f5294,f240]) ).
fof(f5294,plain,
( ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5293,f244]) ).
fof(f5293,plain,
( ~ ssList(sk8)
| ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5288,f242]) ).
fof(f5288,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f5287]) ).
fof(f5287,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk6) ),
inference(superposition,[],[f197,f512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:14:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (16720)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.39 % (16723)WARNING: value z3 for option sas not known
% 0.23/0.39 % (16722)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.39 % (16724)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.39 % (16725)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)
% 0.23/0.39 % (16721)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.39 % (16723)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)
% 0.23/0.39 % (16726)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)
% 0.23/0.39 % (16727)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)
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.45 TRYING [1]
% 0.23/0.46 TRYING [2]
% 0.23/0.48 TRYING [4]
% 0.23/0.52 TRYING [3]
% 0.23/0.53 % (16723)First to succeed.
% 1.28/0.55 % (16723)Refutation found. Thanks to Tanya!
% 1.28/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.28/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.56 % (16723)------------------------------
% 1.41/0.56 % (16723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.41/0.56 % (16723)Termination reason: Refutation
% 1.41/0.56
% 1.41/0.56 % (16723)Memory used [KB]: 3322
% 1.41/0.56 % (16723)Time elapsed: 0.161 s
% 1.41/0.56 % (16723)Instructions burned: 416 (million)
% 1.41/0.56 % (16723)------------------------------
% 1.41/0.56 % (16723)------------------------------
% 1.41/0.56 % (16720)Success in time 0.182 s
%------------------------------------------------------------------------------