TSTP Solution File: SET848-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:13:32 EDT 2024
% Result : Unsatisfiable 2.13s 0.69s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1304
% Syntax : Number of formulae : 2380 ( 684 unt; 0 def)
% Number of atoms : 5462 ( 432 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 5420 (2338 ~;2340 |; 0 &)
% ( 742 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 780 ( 778 usr; 743 prp; 0-3 aty)
% Number of functors : 126 ( 126 usr; 19 con; 0-6 aty)
% Number of variables : 3740 (3740 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8061,plain,
$false,
inference(avatar_sat_refutation,[],[f1372,f1377,f1382,f1387,f1392,f1397,f1402,f1407,f1412,f1417,f1422,f1427,f1432,f1437,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1477,f1482,f1487,f1492,f1497,f1502,f1507,f1512,f1517,f1522,f1527,f1532,f1537,f1542,f1547,f1552,f1557,f1562,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1612,f1617,f1621,f1626,f1631,f1635,f1639,f1644,f1649,f1653,f1658,f1662,f1666,f1670,f1674,f1678,f1682,f1686,f1690,f1694,f1698,f1702,f1706,f1710,f1714,f1718,f1722,f1726,f1730,f1734,f1738,f1742,f1746,f1750,f1754,f1758,f1762,f1766,f1770,f1774,f1778,f1782,f1786,f1790,f1794,f1798,f1802,f1806,f1810,f1814,f1818,f1822,f1826,f1830,f1834,f1838,f1842,f1846,f1850,f1854,f1858,f1862,f1866,f1870,f1874,f1878,f1882,f1886,f1890,f1894,f1898,f1902,f1906,f1910,f1914,f1918,f1922,f1926,f1930,f1934,f1938,f1942,f1946,f1950,f1954,f1958,f1962,f1966,f1970,f1974,f1978,f1982,f1986,f1990,f1994,f1998,f2002,f2006,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2078,f2082,f2086,f2090,f2094,f2098,f2102,f2106,f2110,f2114,f2118,f2122,f2126,f2130,f2134,f2138,f2142,f2146,f2150,f2154,f2158,f2162,f2166,f2170,f2174,f2178,f2182,f2186,f2190,f2194,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2226,f2230,f2234,f2238,f2242,f2246,f2250,f2254,f2258,f2262,f2266,f2270,f2274,f2278,f2282,f2286,f2290,f2294,f2298,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2366,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2406,f2410,f2414,f2418,f2422,f2426,f2430,f2434,f2438,f2442,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2534,f2538,f2542,f2546,f2857,f2862,f2866,f2870,f2874,f2878,f2882,f2886,f2890,f2894,f2898,f2902,f2906,f2910,f2914,f2918,f2922,f2926,f2931,f2935,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f2975,f2979,f2983,f2987,f2991,f2995,f2999,f3003,f3007,f3027,f3031,f3035,f3039,f3043,f3047,f3051,f3055,f3059,f3063,f3067,f3071,f3075,f3079,f3083,f3087,f3091,f3095,f3099,f3103,f3109,f3118,f3122,f3126,f3130,f3134,f3138,f3144,f3148,f3152,f3156,f3160,f3164,f3168,f3172,f3176,f3180,f3186,f3190,f3194,f3198,f3202,f3225,f3229,f3233,f3237,f3241,f3245,f3249,f3253,f3257,f3261,f3265,f3269,f3273,f3277,f3281,f3285,f3289,f3293,f3297,f3301,f3305,f3309,f3339,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3384,f3388,f3392,f3403,f3407,f3411,f3415,f3419,f3423,f3427,f3431,f3435,f3439,f3443,f3447,f3451,f3455,f3459,f3463,f3467,f3471,f3475,f3479,f3483,f3487,f3491,f3495,f3499,f3503,f3513,f3517,f3521,f3525,f3529,f3533,f3537,f3541,f3545,f3551,f3634,f3638,f3642,f3646,f3650,f3654,f3658,f3662,f3666,f3670,f3674,f3678,f3682,f3686,f3690,f3694,f3713,f3725,f3729,f3733,f3737,f3741,f3745,f3749,f3753,f3757,f3761,f3765,f3769,f3773,f3777,f3785,f3833,f3837,f3841,f3845,f3849,f3853,f3857,f3861,f3865,f3869,f3873,f3877,f3881,f3885,f3889,f3893,f3897,f3901,f3905,f3909,f4005,f4009,f4013,f4017,f4021,f4025,f4029,f4033,f4037,f4041,f4045,f4086,f4090,f4094,f4098,f4102,f4106,f4110,f4114,f4118,f4122,f4126,f4130,f4134,f4138,f4142,f4149,f4174,f4223,f4227,f4231,f4240,f4250,f4254,f4258,f4262,f4270,f4274,f4278,f4282,f4310,f4314,f4318,f4322,f4326,f4330,f4334,f4338,f4342,f4346,f4350,f4367,f4432,f4436,f4440,f4444,f4483,f4487,f4491,f4495,f4499,f4506,f4583,f4587,f4591,f4595,f4599,f4618,f4625,f4629,f4633,f4641,f4677,f4681,f4685,f4701,f4705,f4712,f4716,f4728,f4740,f4744,f4770,f4774,f4778,f4850,f4854,f4867,f4871,f4875,f4916,f4920,f4945,f4949,f5013,f5017,f5029,f5033,f5046,f5061,f5065,f5091,f5106,f5110,f5147,f5155,f5178,f5182,f5186,f5190,f5194,f5198,f5202,f5206,f5251,f5339,f5343,f5347,f5351,f5355,f5359,f5363,f5367,f5371,f5375,f5443,f5447,f5451,f5455,f5459,f5463,f5467,f5477,f5481,f5485,f5534,f5635,f5639,f5643,f5647,f5651,f5655,f5659,f5667,f5671,f5675,f5679,f5683,f5687,f5699,f5726,f5734,f5738,f5742,f5746,f5750,f5754,f5758,f5762,f5770,f5842,f5846,f5850,f5855,f5859,f5863,f5867,f5871,f5875,f5879,f5883,f5976,f5980,f5984,f5988,f5992,f5996,f6000,f6004,f6008,f6012,f6039,f6101,f6105,f6109,f6113,f6149,f6153,f6157,f6161,f6165,f6169,f6173,f6178,f6182,f6186,f6190,f6194,f6198,f6202,f6206,f6210,f6214,f6218,f6223,f6227,f6231,f6235,f6239,f6243,f6247,f6251,f6255,f6259,f6724,f6791,f6795,f6799,f6803,f6807,f6811,f6815,f6819,f6823,f6827,f6831,f6835,f6839,f6843,f6847,f6860,f7391,f7395,f7399,f7403,f7407,f7411,f7415,f7426,f7430,f7434,f7438,f7442,f7446,f7450,f7454,f7458,f7462,f7466,f7470,f7474,f7478,f7482,f7942,f8040,f8044,f8048,f8052,f8056,f8060]) ).
fof(f8060,plain,
( ~ spl0_292
| spl0_737 ),
inference(avatar_contradiction_clause,[],[f8057]) ).
fof(f8057,plain,
( $false
| ~ spl0_292
| spl0_737 ),
inference(resolution,[],[f7941,f2897]) ).
fof(f2897,plain,
( ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2))
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f2896,plain,
( spl0_292
<=> ! [X13,X2] : c_lessequals(X13,X13,tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f7941,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| spl0_737 ),
inference(avatar_component_clause,[],[f7939]) ).
fof(f7939,plain,
( spl0_737
<=> c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f8056,plain,
( spl0_742
| ~ spl0_409
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3976,f3887,f3453,f8054]) ).
fof(f8054,plain,
( spl0_742
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatMost(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f3453,plain,
( spl0_409
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X31,X9,X2)
| c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f3887,plain,
( spl0_478
<=> ! [X35,X13,X36,X2] :
( ~ c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| c_in(X13,c_Union(X36,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f3976,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatMost(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_409
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3454]) ).
fof(f3454,plain,
( ! [X31,X2,X9] :
( c_in(X31,c_SetInterval_OatMost(X9,X2),X2)
| ~ c_lessequals(X31,X9,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3888,plain,
( ! [X2,X36,X35,X13] :
( ~ c_in(X35,X36,tc_set(X2))
| ~ c_in(X13,X35,X2)
| c_in(X13,c_Union(X36,X2),X2) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f3887]) ).
fof(f8052,plain,
( spl0_741
| ~ spl0_406
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3975,f3887,f3441,f8050]) ).
fof(f8050,plain,
( spl0_741
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatLeast(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f3441,plain,
( spl0_406
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X9,X31,X2)
| c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f3975,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatLeast(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_406
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3442]) ).
fof(f3442,plain,
( ! [X31,X2,X9] :
( c_in(X31,c_SetInterval_OatLeast(X9,X2),X2)
| ~ c_lessequals(X9,X31,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_406 ),
inference(avatar_component_clause,[],[f3441]) ).
fof(f8048,plain,
( spl0_740
| ~ spl0_428
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f3956,f3879,f3535,f8046]) ).
fof(f8046,plain,
( spl0_740
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_Inter(X1,X2),X3,X2),X0,X2)
| c_lessequals(c_Inter(X1,X2),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f3535,plain,
( spl0_428
<=> ! [X13,X2,X15] :
( c_lessequals(X13,X15,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f3879,plain,
( spl0_476
<=> ! [X35,X13,X36,X2] :
( c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| ~ c_in(X13,c_Inter(X36,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f3956,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_Inter(X1,X2),X3,X2),X0,X2)
| c_lessequals(c_Inter(X1,X2),X3,tc_set(X2)) )
| ~ spl0_428
| ~ spl0_476 ),
inference(resolution,[],[f3880,f3536]) ).
fof(f3536,plain,
( ! [X2,X15,X13] :
( c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2)
| c_lessequals(X13,X15,tc_set(X2)) )
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f3535]) ).
fof(f3880,plain,
( ! [X2,X36,X35,X13] :
( ~ c_in(X13,c_Inter(X36,X2),X2)
| ~ c_in(X35,X36,tc_set(X2))
| c_in(X13,X35,X2) )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f3879]) ).
fof(f8044,plain,
( spl0_739
| ~ spl0_385
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f3814,f3771,f3350,f8042]) ).
fof(f8042,plain,
( spl0_739
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OUnionE__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f3350,plain,
( spl0_385
<=> ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X2) = X1
| ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f3771,plain,
( spl0_461
<=> ! [X13,X2,X36] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f3814,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OUnionE__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 )
| ~ spl0_385
| ~ spl0_461 ),
inference(resolution,[],[f3772,f3351]) ).
fof(f3351,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
| c_Datatype_Ooption_OSome(X0,X2) = X1 )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f3350]) ).
fof(f3772,plain,
( ! [X2,X36,X13] :
( c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2))
| ~ c_in(X13,c_Union(X36,X2),X2) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f8040,plain,
( spl0_738
| ~ spl0_385
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f3800,f3767,f3350,f8038]) ).
fof(f8038,plain,
( spl0_738
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OInterI__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f3767,plain,
( spl0_460
<=> ! [X13,X2,X36] :
( c_in(X13,c_Inter(X36,X2),X2)
| c_in(c_Main_OInterI__1(X13,X36,X2),X36,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f3800,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OInterI__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 )
| ~ spl0_385
| ~ spl0_460 ),
inference(resolution,[],[f3768,f3351]) ).
fof(f3768,plain,
( ! [X2,X36,X13] :
( c_in(c_Main_OInterI__1(X13,X36,X2),X36,tc_set(X2))
| c_in(X13,c_Inter(X36,X2),X2) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f3767]) ).
fof(f7942,plain,
( ~ spl0_737
| spl0_555
| ~ spl0_729 ),
inference(avatar_split_clause,[],[f7873,f7452,f4638,f7939]) ).
fof(f4638,plain,
( spl0_555
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f7452,plain,
( spl0_729
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f7873,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| spl0_555
| ~ spl0_729 ),
inference(resolution,[],[f7453,f4640]) ).
fof(f4640,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_555 ),
inference(avatar_component_clause,[],[f4638]) ).
fof(f7453,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) )
| ~ spl0_729 ),
inference(avatar_component_clause,[],[f7452]) ).
fof(f7482,plain,
( spl0_736
| ~ spl0_438
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f4649,f4631,f3656,f7480]) ).
fof(f7480,plain,
( spl0_736
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1) = c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f3656,plain,
( spl0_438
<=> ! [X6,X4,X2] :
( X4 = X6
| ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f4631,plain,
( spl0_554
<=> ! [X44,X14,X5,X2] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_OconverseE__1(X14,X44,X5,X2),c_Main_OconverseE__2(X14,X44,X5,X2),X5,X2),X14,tc_prod(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f4649,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1) = c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1) )
| ~ spl0_438
| ~ spl0_554 ),
inference(resolution,[],[f4632,f3657]) ).
fof(f3657,plain,
( ! [X2,X6,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2))
| X4 = X6 )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f4632,plain,
( ! [X2,X44,X14,X5] :
( c_in(c_Pair(c_Main_OconverseE__1(X14,X44,X5,X2),c_Main_OconverseE__2(X14,X44,X5,X2),X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) )
| ~ spl0_554 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f7478,plain,
( spl0_735
| ~ spl0_505
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f4647,f4631,f4124,f7476]) ).
fof(f7476,plain,
( spl0_735
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__1(X1,X0,X2,X3),c_Relation_ODomain(X1,X2,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f4124,plain,
( spl0_505
<=> ! [X6,X4,X14,X5,X2] :
( c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f4647,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__1(X1,X0,X2,X3),c_Relation_ODomain(X1,X2,X3),X2) )
| ~ spl0_505
| ~ spl0_554 ),
inference(resolution,[],[f4632,f4125]) ).
fof(f4125,plain,
( ! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5))
| c_in(X4,c_Relation_ODomain(X14,X2,X5),X2) )
| ~ spl0_505 ),
inference(avatar_component_clause,[],[f4124]) ).
fof(f7474,plain,
( spl0_734
| ~ spl0_508
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f4646,f4631,f4136,f7472]) ).
fof(f7472,plain,
( spl0_734
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_ORange(X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f4136,plain,
( spl0_508
<=> ! [X5,X4,X14,X6,X2] :
( c_in(X6,c_Relation_ORange(X14,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f4646,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_ORange(X1,X2,X3),X3) )
| ~ spl0_508
| ~ spl0_554 ),
inference(resolution,[],[f4632,f4137]) ).
fof(f4137,plain,
( ! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5))
| c_in(X6,c_Relation_ORange(X14,X2,X5),X5) )
| ~ spl0_508 ),
inference(avatar_component_clause,[],[f4136]) ).
fof(f7470,plain,
( spl0_733
| ~ spl0_505
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4553,f4497,f4124,f7468]) ).
fof(f7468,plain,
( spl0_733
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),c_Relation_ODomain(X1,X3,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f4497,plain,
( spl0_544
<=> ! [X6,X13,X14,X5,X2] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Pair(c_Main_OImageE__1(X13,X6,X14,X5,X2),X6,X5,X2),X14,tc_prod(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f4553,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),c_Relation_ODomain(X1,X3,X4),X3) )
| ~ spl0_505
| ~ spl0_544 ),
inference(resolution,[],[f4498,f4125]) ).
fof(f4498,plain,
( ! [X2,X6,X14,X5,X13] :
( c_in(c_Pair(c_Main_OImageE__1(X13,X6,X14,X5,X2),X6,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2) )
| ~ spl0_544 ),
inference(avatar_component_clause,[],[f4497]) ).
fof(f7466,plain,
( spl0_732
| ~ spl0_381
| ~ spl0_704 ),
inference(avatar_split_clause,[],[f7420,f6809,f3299,f7464]) ).
fof(f7464,plain,
( spl0_732
<=> ! [X0,X1] : ~ c_less(c_Union(c_UNIV,X0),X1,tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f3299,plain,
( spl0_381
<=> ! [X13,X2,X15] :
( ~ c_less(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f6809,plain,
( spl0_704
<=> ! [X0,X1] : c_lessequals(X0,c_Union(c_UNIV,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f7420,plain,
( ! [X0,X1] : ~ c_less(c_Union(c_UNIV,X0),X1,tc_set(X0))
| ~ spl0_381
| ~ spl0_704 ),
inference(resolution,[],[f6810,f3300]) ).
fof(f3300,plain,
( ! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_less(X13,X15,tc_set(X2)) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f3299]) ).
fof(f6810,plain,
( ! [X0,X1] : c_lessequals(X0,c_Union(c_UNIV,X1),tc_set(X1))
| ~ spl0_704 ),
inference(avatar_component_clause,[],[f6809]) ).
fof(f7462,plain,
( spl0_731
| ~ spl0_505
| ~ spl0_541 ),
inference(avatar_split_clause,[],[f4510,f4485,f4124,f7460]) ).
fof(f7460,plain,
( spl0_731
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X4,X2,X3),X3,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f4485,plain,
( spl0_541
<=> ! [X6,X4,X14,X5,X2] :
( ~ c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f4510,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X4,X2,X3),X3,X2),X3) )
| ~ spl0_505
| ~ spl0_541 ),
inference(resolution,[],[f4486,f4125]) ).
fof(f4486,plain,
( ! [X2,X6,X14,X4,X5] :
( c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| ~ c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2)) )
| ~ spl0_541 ),
inference(avatar_component_clause,[],[f4485]) ).
fof(f7458,plain,
( spl0_730
| ~ spl0_508
| ~ spl0_541 ),
inference(avatar_split_clause,[],[f4509,f4485,f4136,f7456]) ).
fof(f7456,plain,
( spl0_730
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X4,X2,X3),X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f4509,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X4,X2,X3),X3,X2),X2) )
| ~ spl0_508
| ~ spl0_541 ),
inference(resolution,[],[f4486,f4137]) ).
fof(f7454,plain,
( spl0_729
| ~ spl0_494
| ~ spl0_523 ),
inference(avatar_split_clause,[],[f4305,f4280,f4043,f7452]) ).
fof(f4043,plain,
( spl0_494
<=> ! [X34,X2,X40] :
( ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f4280,plain,
( spl0_523
<=> ! [X54,X2,X40] :
( ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f4305,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) )
| ~ spl0_494
| ~ spl0_523 ),
inference(resolution,[],[f4281,f4044]) ).
fof(f4044,plain,
( ! [X40,X2,X34] :
( ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) )
| ~ spl0_494 ),
inference(avatar_component_clause,[],[f4043]) ).
fof(f4281,plain,
( ! [X2,X40,X54] :
( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) )
| ~ spl0_523 ),
inference(avatar_component_clause,[],[f4280]) ).
fof(f7450,plain,
( spl0_728
| ~ spl0_428
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f4000,f3887,f3535,f7448]) ).
fof(f7448,plain,
( spl0_728
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OsubsetI__1(X1,X2,tc_set(X3)),X3)
| c_in(X0,c_Union(X1,X3),X3)
| c_lessequals(X1,X2,tc_set(tc_set(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f4000,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OsubsetI__1(X1,X2,tc_set(X3)),X3)
| c_in(X0,c_Union(X1,X3),X3)
| c_lessequals(X1,X2,tc_set(tc_set(X3))) )
| ~ spl0_428
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3536]) ).
fof(f7446,plain,
( spl0_727
| ~ spl0_433
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3984,f3887,f3636,f7444]) ).
fof(f7444,plain,
( spl0_727
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2))
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_set(X2)),tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f3636,plain,
( spl0_433
<=> ! [X13,X2] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f3984,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2))
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_set(X2)),tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_433
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3637]) ).
fof(f3637,plain,
( ! [X2,X13] :
( c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f7442,plain,
( spl0_726
| ~ spl0_383
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f3816,f3771,f3307,f7440]) ).
fof(f7440,plain,
( spl0_726
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OUnionE__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f3307,plain,
( spl0_383
<=> ! [X6,X4,X2] :
( X4 = X6
| ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f3816,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OUnionE__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 )
| ~ spl0_383
| ~ spl0_461 ),
inference(resolution,[],[f3772,f3308]) ).
fof(f3308,plain,
( ! [X2,X6,X4] :
( ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2)
| X4 = X6 )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f3307]) ).
fof(f7438,plain,
( spl0_725
| ~ spl0_383
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f3802,f3767,f3307,f7436]) ).
fof(f7436,plain,
( spl0_725
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OInterI__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f3802,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OInterI__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 )
| ~ spl0_383
| ~ spl0_460 ),
inference(resolution,[],[f3768,f3308]) ).
fof(f7434,plain,
( spl0_724
| ~ spl0_416
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3799,f3759,f3481,f7432]) ).
fof(f7432,plain,
( spl0_724
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OlessThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(c_Main_Oin__listsI__1(c_SetInterval_OlessThan(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f3481,plain,
( spl0_416
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X31,X9,X2)
| c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f3759,plain,
( spl0_458
<=> ! [X13,X2,X21] :
( ~ c_in(c_Main_Oin__listsI__1(X13,X21,X2),X13,X2)
| c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f3799,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OlessThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(c_Main_Oin__listsI__1(c_SetInterval_OlessThan(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_416
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3482]) ).
fof(f3482,plain,
( ! [X31,X2,X9] :
( c_in(X31,c_SetInterval_OlessThan(X9,X2),X2)
| ~ c_less(X31,X9,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f3481]) ).
fof(f3760,plain,
( ! [X2,X21,X13] :
( ~ c_in(c_Main_Oin__listsI__1(X13,X21,X2),X13,X2)
| c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f3759]) ).
fof(f7430,plain,
( spl0_723
| ~ spl0_413
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3798,f3759,f3469,f7428]) ).
fof(f7428,plain,
( spl0_723
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OgreaterThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(X1,c_Main_Oin__listsI__1(c_SetInterval_OgreaterThan(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f3469,plain,
( spl0_413
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X9,X31,X2)
| c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f3798,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OgreaterThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(X1,c_Main_Oin__listsI__1(c_SetInterval_OgreaterThan(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_413
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3470]) ).
fof(f3470,plain,
( ! [X31,X2,X9] :
( c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2)
| ~ c_less(X9,X31,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f3469]) ).
fof(f7426,plain,
( spl0_722
| ~ spl0_409
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3797,f3759,f3453,f7424]) ).
fof(f7424,plain,
( spl0_722
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatMost(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_SetInterval_OatMost(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f3797,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatMost(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_SetInterval_OatMost(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_409
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3454]) ).
fof(f7415,plain,
( spl0_721
| ~ spl0_406
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3796,f3759,f3441,f7413]) ).
fof(f7413,plain,
( spl0_721
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatLeast(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(X1,c_Main_Oin__listsI__1(c_SetInterval_OatLeast(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f3796,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatLeast(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(X1,c_Main_Oin__listsI__1(c_SetInterval_OatLeast(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_406
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3442]) ).
fof(f7411,plain,
( spl0_720
| ~ spl0_390
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3795,f3759,f3370,f7409]) ).
fof(f7409,plain,
( spl0_720
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_uminus(X1,tc_set(X2)),X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(c_uminus(X1,tc_set(X2)),X0,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f3370,plain,
( spl0_390
<=> ! [X13,X2,X34] :
( c_in(X34,X13,X2)
| c_in(X34,c_uminus(X13,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f3795,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_uminus(X1,tc_set(X2)),X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(c_uminus(X1,tc_set(X2)),X0,X2),X1,X2) )
| ~ spl0_390
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3371]) ).
fof(f3371,plain,
( ! [X2,X34,X13] :
( c_in(X34,c_uminus(X13,tc_set(X2)),X2)
| c_in(X34,X13,X2) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f7407,plain,
( spl0_719
| ~ spl0_393
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3793,f3759,f3382,f7405]) ).
fof(f7405,plain,
( spl0_719
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f3382,plain,
( spl0_393
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X15,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f3793,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X2,X3) )
| ~ spl0_393
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3383]) ).
fof(f3383,plain,
( ! [X2,X34,X15,X13] :
( c_in(X34,c_union(X13,X15,X2),X2)
| ~ c_in(X34,X15,X2) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f3382]) ).
fof(f7403,plain,
( spl0_718
| ~ spl0_394
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3792,f3759,f3386,f7401]) ).
fof(f7401,plain,
( spl0_718
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f3386,plain,
( spl0_394
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X13,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f3792,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X1,X3) )
| ~ spl0_394
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3387]) ).
fof(f3387,plain,
( ! [X2,X34,X15,X13] :
( c_in(X34,c_union(X13,X15,X2),X2)
| ~ c_in(X34,X13,X2) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f7399,plain,
( spl0_717
| ~ spl0_395
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3790,f3759,f3390,f7397]) ).
fof(f7397,plain,
( spl0_717
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_insert(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_insert(X1,X2,X3),X0,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f3390,plain,
( spl0_395
<=> ! [X15,X4,X6,X2] :
( ~ c_in(X4,X15,X2)
| c_in(X4,c_insert(X6,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f3790,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_insert(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_insert(X1,X2,X3),X0,X3),X2,X3) )
| ~ spl0_395
| ~ spl0_458 ),
inference(resolution,[],[f3760,f3391]) ).
fof(f3391,plain,
( ! [X2,X6,X4,X15] :
( c_in(X4,c_insert(X6,X15,X2),X2)
| ~ c_in(X4,X15,X2) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f3390]) ).
fof(f7395,plain,
( spl0_716
| ~ spl0_418
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3602,f3535,f3489,f7393]) ).
fof(f7393,plain,
( spl0_716
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f3489,plain,
( spl0_418
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f3602,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2) )
| ~ spl0_418
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3490]) ).
fof(f3490,plain,
( ! [X2,X34,X15,X13] :
( ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
| ~ c_in(X34,X15,X2) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f3489]) ).
fof(f7391,plain,
( spl0_715
| ~ spl0_419
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3601,f3535,f3493,f7389]) ).
fof(f7389,plain,
( spl0_715
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f3493,plain,
( spl0_419
<=> ! [X15,X34,X13,X2] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f3601,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2) )
| ~ spl0_419
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3494]) ).
fof(f3494,plain,
( ! [X2,X34,X15,X13] :
( ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
| c_in(X34,X13,X2) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f3493]) ).
fof(f6860,plain,
( spl0_714
| ~ spl0_381
| ~ spl0_591 ),
inference(avatar_split_clause,[],[f5471,f5180,f3299,f6858]) ).
fof(f6858,plain,
( spl0_714
<=> ! [X0,X1] : ~ c_less(X0,c_Union(c_emptyset,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f5180,plain,
( spl0_591
<=> ! [X0,X1] : c_lessequals(c_Union(c_emptyset,X0),X1,tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f5471,plain,
( ! [X0,X1] : ~ c_less(X0,c_Union(c_emptyset,X1),tc_set(X1))
| ~ spl0_381
| ~ spl0_591 ),
inference(resolution,[],[f5181,f3300]) ).
fof(f5181,plain,
( ! [X0,X1] : c_lessequals(c_Union(c_emptyset,X0),X1,tc_set(X0))
| ~ spl0_591 ),
inference(avatar_component_clause,[],[f5180]) ).
fof(f6847,plain,
( spl0_713
| ~ spl0_505
| ~ spl0_537 ),
inference(avatar_split_clause,[],[f4476,f4434,f4124,f6845]) ).
fof(f6845,plain,
( spl0_713
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f4434,plain,
( spl0_537
<=> ! [X4,X14,X6,X2] :
( ~ c_in(c_Pair(X4,X6,X2,X2),X14,tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f4476,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) )
| ~ spl0_505
| ~ spl0_537 ),
inference(resolution,[],[f4435,f4125]) ).
fof(f4435,plain,
( ! [X2,X6,X14,X4] :
( c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2))
| ~ c_in(c_Pair(X4,X6,X2,X2),X14,tc_prod(X2,X2)) )
| ~ spl0_537 ),
inference(avatar_component_clause,[],[f4434]) ).
fof(f6843,plain,
( spl0_712
| ~ spl0_508
| ~ spl0_537 ),
inference(avatar_split_clause,[],[f4475,f4434,f4136,f6841]) ).
fof(f6841,plain,
( spl0_712
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_ORange(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f4475,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_ORange(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) )
| ~ spl0_508
| ~ spl0_537 ),
inference(resolution,[],[f4435,f4137]) ).
fof(f6839,plain,
( spl0_711
| ~ spl0_494
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f4264,f4260,f4043,f6837]) ).
fof(f6837,plain,
( spl0_711
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f4260,plain,
( spl0_519
<=> ! [X2,X0,X40] :
( ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f4264,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) )
| ~ spl0_494
| ~ spl0_519 ),
inference(resolution,[],[f4261,f4044]) ).
fof(f4261,plain,
( ! [X40,X2,X0] :
( c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f4260]) ).
fof(f6835,plain,
( spl0_710
| ~ spl0_320
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4204,f4136,f3025,f6833]) ).
fof(f6833,plain,
( spl0_710
<=> ! [X0,X3,X2,X1] : c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f3025,plain,
( spl0_320
<=> ! [X2,X0] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X2),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f4204,plain,
( ! [X2,X3,X0,X1] : c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3)
| ~ spl0_320
| ~ spl0_508 ),
inference(resolution,[],[f4137,f3026]) ).
fof(f3026,plain,
( ! [X2,X0] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X2),X2),X2)
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f6831,plain,
( spl0_709
| ~ spl0_320
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4179,f4124,f3025,f6829]) ).
fof(f6829,plain,
( spl0_709
<=> ! [X0,X3,X2,X1] : c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X0,X1,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f4179,plain,
( ! [X2,X3,X0,X1] : c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X0,X1,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X2)
| ~ spl0_320
| ~ spl0_505 ),
inference(resolution,[],[f4125,f3026]) ).
fof(f6827,plain,
( spl0_708
| ~ spl0_446
| ~ spl0_490 ),
inference(avatar_split_clause,[],[f4067,f4027,f3688,f6825]) ).
fof(f6825,plain,
( spl0_708
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_in(X3,c_uminus(X0,tc_set(X2)),X2)
| ~ c_in(X3,c_uminus(X1,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f3688,plain,
( spl0_446
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_lessequals(X13,X15,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f4027,plain,
( spl0_490
<=> ! [X13,X2,X15] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f4067,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_in(X3,c_uminus(X0,tc_set(X2)),X2)
| ~ c_in(X3,c_uminus(X1,tc_set(X2)),X2) )
| ~ spl0_446
| ~ spl0_490 ),
inference(resolution,[],[f4028,f3689]) ).
fof(f3689,plain,
( ! [X2,X34,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f3688]) ).
fof(f4028,plain,
( ! [X2,X15,X13] :
( c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) )
| ~ spl0_490 ),
inference(avatar_component_clause,[],[f4027]) ).
fof(f6823,plain,
( spl0_707
| ~ spl0_461
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3999,f3887,f3771,f6821]) ).
fof(f6821,plain,
( spl0_707
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OUnionE__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f3999,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OUnionE__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) )
| ~ spl0_461
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3772]) ).
fof(f6819,plain,
( spl0_706
| ~ spl0_460
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3998,f3887,f3767,f6817]) ).
fof(f6817,plain,
( spl0_706
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OInterI__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| c_in(X1,c_Inter(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f3998,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OInterI__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| c_in(X1,c_Inter(X2,X3),X3) )
| ~ spl0_460
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3768]) ).
fof(f6815,plain,
( spl0_705
| ~ spl0_390
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3974,f3887,f3370,f6813]) ).
fof(f6813,plain,
( spl0_705
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_uminus(X3,tc_set(tc_set(X2))),X2),X2)
| c_in(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f3974,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_uminus(X3,tc_set(tc_set(X2))),X2),X2)
| c_in(X1,X3,tc_set(X2)) )
| ~ spl0_390
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3371]) ).
fof(f6811,plain,
( spl0_704
| ~ spl0_429
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f5414,f5357,f3539,f6809]) ).
fof(f3539,plain,
( spl0_429
<=> ! [X13,X2,X15] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f5357,plain,
( spl0_604
<=> ! [X0,X1] : c_in(X0,c_Union(c_UNIV,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f5414,plain,
( ! [X0,X1] : c_lessequals(X0,c_Union(c_UNIV,X1),tc_set(X1))
| ~ spl0_429
| ~ spl0_604 ),
inference(resolution,[],[f5358,f3540]) ).
fof(f3540,plain,
( ! [X2,X15,X13] :
( ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2)
| c_lessequals(X13,X15,tc_set(X2)) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f5358,plain,
( ! [X0,X1] : c_in(X0,c_Union(c_UNIV,X1),X1)
| ~ spl0_604 ),
inference(avatar_component_clause,[],[f5357]) ).
fof(f6807,plain,
( spl0_703
| ~ spl0_393
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3972,f3887,f3382,f6805]) ).
fof(f6805,plain,
( spl0_703
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f3972,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) )
| ~ spl0_393
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3383]) ).
fof(f6803,plain,
( spl0_702
| ~ spl0_394
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3971,f3887,f3386,f6801]) ).
fof(f6801,plain,
( spl0_702
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f3971,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2)) )
| ~ spl0_394
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3387]) ).
fof(f6799,plain,
( spl0_701
| ~ spl0_395
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3969,f3887,f3390,f6797]) ).
fof(f6797,plain,
( spl0_701
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f3969,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) )
| ~ spl0_395
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3391]) ).
fof(f6795,plain,
( spl0_700
| ~ spl0_421
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3621,f3539,f3501,f6793]) ).
fof(f6793,plain,
( spl0_700
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_Pow(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Main_OsubsetI__1(X0,c_Pow(X1,X2),tc_set(X2)),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f3501,plain,
( spl0_421
<=> ! [X13,X2,X15] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X13,c_Pow(X15,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f3621,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_Pow(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Main_OsubsetI__1(X0,c_Pow(X1,X2),tc_set(X2)),X1,tc_set(X2)) )
| ~ spl0_421
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3502]) ).
fof(f3502,plain,
( ! [X2,X15,X13] :
( c_in(X13,c_Pow(X15,X2),tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2)) )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f3501]) ).
fof(f6791,plain,
( spl0_699
| ~ spl0_420
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3603,f3535,f3497,f6789]) ).
fof(f6789,plain,
( spl0_699
<=> ! [X2,X0,X1] :
( c_lessequals(c_Pow(X0,X1),X2,tc_set(tc_set(X1)))
| c_lessequals(c_Main_OsubsetI__1(c_Pow(X0,X1),X2,tc_set(X1)),X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f3497,plain,
( spl0_420
<=> ! [X13,X2,X15] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(X13,c_Pow(X15,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f3603,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Pow(X0,X1),X2,tc_set(tc_set(X1)))
| c_lessequals(c_Main_OsubsetI__1(c_Pow(X0,X1),X2,tc_set(X1)),X0,tc_set(X1)) )
| ~ spl0_420
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3498]) ).
fof(f3498,plain,
( ! [X2,X15,X13] :
( ~ c_in(X13,c_Pow(X15,X2),tc_set(X2))
| c_lessequals(X13,X15,tc_set(X2)) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f3497]) ).
fof(f6724,plain,
( spl0_698
| ~ spl0_381
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f5223,f4172,f3299,f6722]) ).
fof(f6722,plain,
( spl0_698
<=> ! [X0,X1] : ~ c_less(c_Inter(c_emptyset,X0),X1,tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f4172,plain,
( spl0_511
<=> ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f5223,plain,
( ! [X0,X1] : ~ c_less(c_Inter(c_emptyset,X0),X1,tc_set(X0))
| ~ spl0_381
| ~ spl0_511 ),
inference(resolution,[],[f4173,f3300]) ).
fof(f4173,plain,
( ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1))
| ~ spl0_511 ),
inference(avatar_component_clause,[],[f4172]) ).
fof(f6259,plain,
( spl0_697
| ~ spl0_493
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4452,f4430,f4039,f6257]) ).
fof(f6257,plain,
( spl0_697
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f4039,plain,
( spl0_493
<=> ! [X13,X2,X4] :
( ~ c_in(X4,X13,X2)
| c_in(c_Pair(X4,X4,X2,X2),c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f4430,plain,
( spl0_536
<=> ! [X6,X4,X13,X14,X5,X2] :
( ~ c_in(X4,X13,X2)
| c_in(X6,c_Relation_OImage(X14,X13,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f4452,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_493
| ~ spl0_536 ),
inference(resolution,[],[f4431,f4040]) ).
fof(f4040,plain,
( ! [X2,X4,X13] :
( c_in(c_Pair(X4,X4,X2,X2),c_Relation_Odiag(X13,X2),tc_prod(X2,X2))
| ~ c_in(X4,X13,X2) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f4039]) ).
fof(f4431,plain,
( ! [X2,X6,X14,X4,X5,X13] :
( ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5))
| c_in(X6,c_Relation_OImage(X14,X13,X2,X5),X5)
| ~ c_in(X4,X13,X2) )
| ~ spl0_536 ),
inference(avatar_component_clause,[],[f4430]) ).
fof(f6255,plain,
( spl0_696
| ~ spl0_505
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4402,f4344,f4124,f6253]) ).
fof(f6253,plain,
( spl0_696
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
| c_in(c_Main_ORangeE__1(X0,X1,X3,X2),c_Relation_ODomain(X1,X2,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f4344,plain,
( spl0_533
<=> ! [X5,X14,X6,X2] :
( ~ c_in(X6,c_Relation_ORange(X14,X5,X2),X2)
| c_in(c_Pair(c_Main_ORangeE__1(X6,X14,X2,X5),X6,X5,X2),X14,tc_prod(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f4402,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
| c_in(c_Main_ORangeE__1(X0,X1,X3,X2),c_Relation_ODomain(X1,X2,X3),X2) )
| ~ spl0_505
| ~ spl0_533 ),
inference(resolution,[],[f4345,f4125]) ).
fof(f4345,plain,
( ! [X2,X6,X14,X5] :
( c_in(c_Pair(c_Main_ORangeE__1(X6,X14,X2,X5),X6,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X6,c_Relation_ORange(X14,X5,X2),X2) )
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f4344]) ).
fof(f6251,plain,
( spl0_695
| ~ spl0_508
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4375,f4340,f4136,f6249]) ).
fof(f6249,plain,
( spl0_695
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
| c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_ORange(X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f4340,plain,
( spl0_532
<=> ! [X4,X14,X5,X2] :
( ~ c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X14,X2,X5),X2,X5),X14,tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f4375,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
| c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_ORange(X1,X2,X3),X3) )
| ~ spl0_508
| ~ spl0_532 ),
inference(resolution,[],[f4341,f4137]) ).
fof(f4341,plain,
( ! [X2,X14,X4,X5] :
( c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X14,X2,X5),X2,X5),X14,tc_prod(X2,X5))
| ~ c_in(X4,c_Relation_ODomain(X14,X2,X5),X2) )
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f4340]) ).
fof(f6247,plain,
( spl0_694
| ~ spl0_441
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3989,f3887,f3668,f6245]) ).
fof(f6245,plain,
( spl0_694
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f3668,plain,
( spl0_441
<=> ! [X2,X16,X17] :
( ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f3989,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_441
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3669]) ).
fof(f3669,plain,
( ! [X2,X16,X17] :
( c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f6243,plain,
( spl0_693
| ~ spl0_442
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3988,f3887,f3672,f6241]) ).
fof(f6241,plain,
( spl0_693
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3672,plain,
( spl0_442
<=> ! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f3988,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_442
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3673]) ).
fof(f3673,plain,
( ! [X2,X16,X17] :
( c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f6239,plain,
( spl0_692
| ~ spl0_439
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3983,f3887,f3660,f6237]) ).
fof(f6237,plain,
( spl0_692
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f3660,plain,
( spl0_439
<=> ! [X13,X2,X4] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_insert(X4,X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f3983,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_439
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3661]) ).
fof(f3661,plain,
( ! [X2,X4,X13] :
( c_in(c_insert(X4,X13,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f6235,plain,
( spl0_691
| ~ spl0_446
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f3945,f3867,f3688,f6233]) ).
fof(f6233,plain,
( spl0_691
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OlessThan(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OlessThan(X0,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f3867,plain,
( spl0_473
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f3945,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OlessThan(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OlessThan(X0,X2),X2) )
| ~ spl0_446
| ~ spl0_473 ),
inference(resolution,[],[f3868,f3689]) ).
fof(f3868,plain,
( ! [X2,X0,X23] :
( c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2))
| ~ c_lessequals(X0,X23,X2)
| ~ class_Orderings_Olinorder(X2) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f3867]) ).
fof(f6231,plain,
( spl0_690
| ~ spl0_446
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f3937,f3859,f3688,f6229]) ).
fof(f6229,plain,
( spl0_690
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OgreaterThan(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OgreaterThan(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f3859,plain,
( spl0_471
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f3937,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OgreaterThan(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OgreaterThan(X1,X2),X2) )
| ~ spl0_446
| ~ spl0_471 ),
inference(resolution,[],[f3860,f3689]) ).
fof(f3860,plain,
( ! [X2,X0,X23] :
( c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2))
| ~ c_lessequals(X23,X0,X2)
| ~ class_Orderings_Olinorder(X2) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f3859]) ).
fof(f6227,plain,
( spl0_689
| ~ spl0_446
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f3929,f3851,f3688,f6225]) ).
fof(f6225,plain,
( spl0_689
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatMost(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OatMost(X0,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f3851,plain,
( spl0_469
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f3929,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatMost(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OatMost(X0,X2),X2) )
| ~ spl0_446
| ~ spl0_469 ),
inference(resolution,[],[f3852,f3689]) ).
fof(f3852,plain,
( ! [X2,X0,X23] :
( c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2))
| ~ c_lessequals(X0,X23,X2)
| ~ class_Orderings_Oorder(X2) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f3851]) ).
fof(f6223,plain,
( spl0_688
| ~ spl0_446
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f3921,f3843,f3688,f6221]) ).
fof(f6221,plain,
( spl0_688
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatLeast(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OatLeast(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f3843,plain,
( spl0_467
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f3921,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatLeast(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OatLeast(X1,X2),X2) )
| ~ spl0_446
| ~ spl0_467 ),
inference(resolution,[],[f3844,f3689]) ).
fof(f3844,plain,
( ! [X2,X0,X23] :
( c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2))
| ~ c_lessequals(X23,X0,X2)
| ~ class_Orderings_Oorder(X2) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f6218,plain,
( spl0_687
| ~ spl0_420
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f3820,f3771,f3497,f6216]) ).
fof(f6216,plain,
( spl0_687
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f3820,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) )
| ~ spl0_420
| ~ spl0_461 ),
inference(resolution,[],[f3772,f3498]) ).
fof(f6214,plain,
( spl0_686
| ~ spl0_420
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f3806,f3767,f3497,f6212]) ).
fof(f6212,plain,
( spl0_686
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f3806,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) )
| ~ spl0_420
| ~ spl0_460 ),
inference(resolution,[],[f3768,f3498]) ).
fof(f6210,plain,
( spl0_685
| ~ spl0_416
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3629,f3539,f3481,f6208]) ).
fof(f6208,plain,
( spl0_685
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OlessThan(X1,X2),tc_set(X2))
| ~ c_less(c_Main_OsubsetI__1(X0,c_SetInterval_OlessThan(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f3629,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OlessThan(X1,X2),tc_set(X2))
| ~ c_less(c_Main_OsubsetI__1(X0,c_SetInterval_OlessThan(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_416
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3482]) ).
fof(f6206,plain,
( spl0_684
| ~ spl0_413
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3628,f3539,f3469,f6204]) ).
fof(f6204,plain,
( spl0_684
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OgreaterThan(X1,X2),tc_set(X2))
| ~ c_less(X1,c_Main_OsubsetI__1(X0,c_SetInterval_OgreaterThan(X1,X2),X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f3628,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OgreaterThan(X1,X2),tc_set(X2))
| ~ c_less(X1,c_Main_OsubsetI__1(X0,c_SetInterval_OgreaterThan(X1,X2),X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_413
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3470]) ).
fof(f6202,plain,
( spl0_683
| ~ spl0_409
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3627,f3539,f3453,f6200]) ).
fof(f6200,plain,
( spl0_683
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OatMost(X1,X2),tc_set(X2))
| ~ c_lessequals(c_Main_OsubsetI__1(X0,c_SetInterval_OatMost(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f3627,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OatMost(X1,X2),tc_set(X2))
| ~ c_lessequals(c_Main_OsubsetI__1(X0,c_SetInterval_OatMost(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_409
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3454]) ).
fof(f6198,plain,
( spl0_682
| ~ spl0_406
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3626,f3539,f3441,f6196]) ).
fof(f6196,plain,
( spl0_682
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OatLeast(X1,X2),tc_set(X2))
| ~ c_lessequals(X1,c_Main_OsubsetI__1(X0,c_SetInterval_OatLeast(X1,X2),X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f3626,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_SetInterval_OatLeast(X1,X2),tc_set(X2))
| ~ c_lessequals(X1,c_Main_OsubsetI__1(X0,c_SetInterval_OatLeast(X1,X2),X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_406
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3442]) ).
fof(f6194,plain,
( spl0_681
| ~ spl0_390
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3625,f3539,f3370,f6192]) ).
fof(f6192,plain,
( spl0_681
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,c_uminus(X1,tc_set(X2)),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f3625,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,c_uminus(X1,tc_set(X2)),X2),X1,X2) )
| ~ spl0_390
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3371]) ).
fof(f6190,plain,
( spl0_680
| ~ spl0_393
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3623,f3539,f3382,f6188]) ).
fof(f6188,plain,
( spl0_680
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f3623,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) )
| ~ spl0_393
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3383]) ).
fof(f6186,plain,
( spl0_679
| ~ spl0_394
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3622,f3539,f3386,f6184]) ).
fof(f6184,plain,
( spl0_679
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f3622,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) )
| ~ spl0_394
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3387]) ).
fof(f6182,plain,
( spl0_678
| ~ spl0_395
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3620,f3539,f3390,f6180]) ).
fof(f6180,plain,
( spl0_678
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f3620,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) )
| ~ spl0_395
| ~ spl0_429 ),
inference(resolution,[],[f3540,f3391]) ).
fof(f6178,plain,
( ~ spl0_677
| ~ spl0_60
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f5952,f5877,f1660,f6175]) ).
fof(f6175,plain,
( spl0_677
<=> c_in(c_0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f1660,plain,
( spl0_60
<=> ! [X18] : ~ c_less(X18,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f5877,plain,
( spl0_653
<=> ! [X0] :
( ~ c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_ORangeE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f5952,plain,
( ~ c_in(c_0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ spl0_60
| ~ spl0_653 ),
inference(resolution,[],[f5878,f1661]) ).
fof(f1661,plain,
( ! [X18] : ~ c_less(X18,c_0,tc_nat)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f5878,plain,
( ! [X0] :
( c_less(c_Main_ORangeE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat)
| ~ c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) )
| ~ spl0_653 ),
inference(avatar_component_clause,[],[f5877]) ).
fof(f6173,plain,
( spl0_676
| ~ spl0_391
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3610,f3535,f3374,f6171]) ).
fof(f6171,plain,
( spl0_676
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f3374,plain,
( spl0_391
<=> ! [X15,X34,X13,X2] :
( c_in(X34,X15,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f3610,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) )
| ~ spl0_391
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3375]) ).
fof(f3375,plain,
( ! [X2,X34,X15,X13] :
( ~ c_in(X34,c_inter(X13,X15,X2),X2)
| c_in(X34,X15,X2) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f6169,plain,
( spl0_675
| ~ spl0_392
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3609,f3535,f3378,f6167]) ).
fof(f6167,plain,
( spl0_675
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f3378,plain,
( spl0_392
<=> ! [X15,X34,X13,X2] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f3609,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) )
| ~ spl0_392
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3379]) ).
fof(f3379,plain,
( ! [X2,X34,X15,X13] :
( ~ c_in(X34,c_inter(X13,X15,X2),X2)
| c_in(X34,X13,X2) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f6165,plain,
( spl0_674
| ~ spl0_415
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3608,f3535,f3477,f6163]) ).
fof(f6163,plain,
( spl0_674
<=> ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OlessThan(X0,X1),X2,tc_set(X1))
| c_less(c_Main_OsubsetI__1(c_SetInterval_OlessThan(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f3477,plain,
( spl0_415
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| c_less(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f3608,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OlessThan(X0,X1),X2,tc_set(X1))
| c_less(c_Main_OsubsetI__1(c_SetInterval_OlessThan(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_415
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3478]) ).
fof(f3478,plain,
( ! [X31,X2,X9] :
( ~ c_in(X31,c_SetInterval_OlessThan(X9,X2),X2)
| c_less(X31,X9,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f3477]) ).
fof(f6161,plain,
( spl0_673
| ~ spl0_412
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3607,f3535,f3465,f6159]) ).
fof(f6159,plain,
( spl0_673
<=> ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),X2,tc_set(X1))
| c_less(X0,c_Main_OsubsetI__1(c_SetInterval_OgreaterThan(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f3465,plain,
( spl0_412
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| c_less(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f3607,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),X2,tc_set(X1))
| c_less(X0,c_Main_OsubsetI__1(c_SetInterval_OgreaterThan(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_412
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3466]) ).
fof(f3466,plain,
( ! [X31,X2,X9] :
( ~ c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2)
| c_less(X9,X31,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f3465]) ).
fof(f6157,plain,
( spl0_672
| ~ spl0_408
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3606,f3535,f3449,f6155]) ).
fof(f6155,plain,
( spl0_672
<=> ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OatMost(X0,X1),X2,tc_set(X1))
| c_lessequals(c_Main_OsubsetI__1(c_SetInterval_OatMost(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f3449,plain,
( spl0_408
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f3606,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OatMost(X0,X1),X2,tc_set(X1))
| c_lessequals(c_Main_OsubsetI__1(c_SetInterval_OatMost(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_408
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3450]) ).
fof(f3450,plain,
( ! [X31,X2,X9] :
( ~ c_in(X31,c_SetInterval_OatMost(X9,X2),X2)
| c_lessequals(X31,X9,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f6153,plain,
( spl0_671
| ~ spl0_405
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3605,f3535,f3437,f6151]) ).
fof(f6151,plain,
( spl0_671
<=> ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OatLeast(X0,X1),X2,tc_set(X1))
| c_lessequals(X0,c_Main_OsubsetI__1(c_SetInterval_OatLeast(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f3437,plain,
( spl0_405
<=> ! [X2,X9,X31] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f3605,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_SetInterval_OatLeast(X0,X1),X2,tc_set(X1))
| c_lessequals(X0,c_Main_OsubsetI__1(c_SetInterval_OatLeast(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_405
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3438]) ).
fof(f3438,plain,
( ! [X31,X2,X9] :
( ~ c_in(X31,c_SetInterval_OatLeast(X9,X2),X2)
| c_lessequals(X9,X31,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f3437]) ).
fof(f6149,plain,
( spl0_670
| ~ spl0_388
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3604,f3535,f3362,f6147]) ).
fof(f6147,plain,
( spl0_670
<=> ! [X2,X0,X1] :
( c_lessequals(c_uminus(X0,tc_set(X1)),X2,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f3362,plain,
( spl0_388
<=> ! [X13,X2,X34] :
( ~ c_in(X34,X13,X2)
| ~ c_in(X34,c_uminus(X13,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f3604,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_uminus(X0,tc_set(X1)),X2,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1) )
| ~ spl0_388
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3363]) ).
fof(f3363,plain,
( ! [X2,X34,X13] :
( ~ c_in(X34,c_uminus(X13,tc_set(X2)),X2)
| ~ c_in(X34,X13,X2) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f3362]) ).
fof(f6113,plain,
( spl0_669
| ~ spl0_454
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4556,f4497,f3743,f6111]) ).
fof(f6111,plain,
( spl0_669
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_OImageE__1(X1,X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f3743,plain,
( spl0_454
<=> ! [X0,X23] :
( c_less(X0,X23,tc_nat)
| ~ c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f4556,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_OImageE__1(X1,X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) )
| ~ spl0_454
| ~ spl0_544 ),
inference(resolution,[],[f4498,f3744]) ).
fof(f3744,plain,
( ! [X0,X23] :
( ~ c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X0,X23,tc_nat) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f3743]) ).
fof(f6109,plain,
( spl0_668
| ~ spl0_421
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3970,f3887,f3501,f6107]) ).
fof(f6107,plain,
( spl0_668
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Pow(X3,X2),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f3970,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Pow(X3,X2),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) )
| ~ spl0_421
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3502]) ).
fof(f6105,plain,
( spl0_667
| ~ spl0_383
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3600,f3535,f3307,f6103]) ).
fof(f6103,plain,
( spl0_667
<=> ! [X2,X0,X1] :
( c_lessequals(c_insert(X0,c_emptyset,X1),X2,tc_set(X1))
| c_Main_OsubsetI__1(c_insert(X0,c_emptyset,X1),X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f3600,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_insert(X0,c_emptyset,X1),X2,tc_set(X1))
| c_Main_OsubsetI__1(c_insert(X0,c_emptyset,X1),X2,X1) = X0 )
| ~ spl0_383
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3308]) ).
fof(f6101,plain,
( spl0_666
| ~ spl0_385
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3598,f3535,f3350,f6099]) ).
fof(f6099,plain,
( spl0_666
<=> ! [X2,X0,X1] :
( c_lessequals(c_Datatype_Oo2s(X0,X1),X2,tc_set(X1))
| c_Datatype_Ooption_OSome(c_Main_OsubsetI__1(c_Datatype_Oo2s(X0,X1),X2,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f3598,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Datatype_Oo2s(X0,X1),X2,tc_set(X1))
| c_Datatype_Ooption_OSome(c_Main_OsubsetI__1(c_Datatype_Oo2s(X0,X1),X2,X1),X1) = X0 )
| ~ spl0_385
| ~ spl0_428 ),
inference(resolution,[],[f3536,f3351]) ).
fof(f6039,plain,
( spl0_665
| ~ spl0_528
| ~ spl0_641 ),
inference(avatar_split_clause,[],[f5814,f5756,f4324,f6037]) ).
fof(f6037,plain,
( spl0_665
<=> ! [X0,X1] : c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f4324,plain,
( spl0_528
<=> ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f5756,plain,
( spl0_641
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f5814,plain,
( ! [X0,X1] : c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0
| ~ spl0_528
| ~ spl0_641 ),
inference(resolution,[],[f5757,f4325]) ).
fof(f4325,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_528 ),
inference(avatar_component_clause,[],[f4324]) ).
fof(f5757,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_641 ),
inference(avatar_component_clause,[],[f5756]) ).
fof(f6012,plain,
( spl0_664
| ~ spl0_61
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4988,f4947,f1664,f6010]) ).
fof(f6010,plain,
( spl0_664
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Odprod(c_emptyset,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f1664,plain,
( spl0_61
<=> ! [X2,X4] : ~ c_in(X4,c_emptyset,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f4947,plain,
( spl0_577
<=> ! [X37,X34,X14,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__3(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f4988,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Odprod(c_emptyset,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ spl0_61
| ~ spl0_577 ),
inference(resolution,[],[f4948,f1665]) ).
fof(f1665,plain,
( ! [X2,X4] : ~ c_in(X4,c_emptyset,X2)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f4948,plain,
( ! [X2,X37,X14,X34,X5] :
( c_in(c_Pair(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__3(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) )
| ~ spl0_577 ),
inference(avatar_component_clause,[],[f4947]) ).
fof(f6008,plain,
( spl0_663
| ~ spl0_61
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4958,f4943,f1664,f6006]) ).
fof(f6006,plain,
( spl0_663
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_emptyset,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f4943,plain,
( spl0_576
<=> ! [X37,X34,X14,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f4958,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_emptyset,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ spl0_61
| ~ spl0_576 ),
inference(resolution,[],[f4944,f1665]) ).
fof(f4944,plain,
( ! [X2,X37,X14,X34,X5] :
( c_in(c_Pair(c_Main_OdprodE__2(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f4943]) ).
fof(f6004,plain,
( spl0_662
| ~ spl0_438
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4555,f4497,f3656,f6002]) ).
fof(f6002,plain,
( spl0_662
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f4555,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2) = X0 )
| ~ spl0_438
| ~ spl0_544 ),
inference(resolution,[],[f4498,f3657]) ).
fof(f6000,plain,
( spl0_661
| ~ spl0_455
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4453,f4430,f3747,f5998]) ).
fof(f5998,plain,
( spl0_661
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| ~ c_in(X2,X1,tc_nat)
| ~ c_less(X2,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f3747,plain,
( spl0_455
<=> ! [X0,X23] :
( ~ c_less(X0,X23,tc_nat)
| c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f4453,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| ~ c_in(X2,X1,tc_nat)
| ~ c_less(X2,X0,tc_nat) )
| ~ spl0_455
| ~ spl0_536 ),
inference(resolution,[],[f4431,f3748]) ).
fof(f3748,plain,
( ! [X0,X23] :
( c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X0,X23,tc_nat) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f3747]) ).
fof(f5996,plain,
( spl0_660
| ~ spl0_311
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4205,f4136,f2973,f5994]) ).
fof(f5994,plain,
( spl0_660
<=> ! [X4,X0,X3,X2,X1] : c_in(X0,c_Relation_ORange(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f2973,plain,
( spl0_311
<=> ! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f4205,plain,
( ! [X2,X3,X0,X1,X4] : c_in(X0,c_Relation_ORange(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3)
| ~ spl0_311
| ~ spl0_508 ),
inference(resolution,[],[f4137,f2974]) ).
fof(f2974,plain,
( ! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2)
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f2973]) ).
fof(f5992,plain,
( spl0_659
| ~ spl0_311
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4180,f4124,f2973,f5990]) ).
fof(f5990,plain,
( spl0_659
<=> ! [X4,X0,X3,X2,X1] : c_in(X0,c_Relation_ODomain(c_insert(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f4180,plain,
( ! [X2,X3,X0,X1,X4] : c_in(X0,c_Relation_ODomain(c_insert(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2)
| ~ spl0_311
| ~ spl0_505 ),
inference(resolution,[],[f4125,f2974]) ).
fof(f5988,plain,
( spl0_658
| ~ spl0_515
| ~ spl0_640 ),
inference(avatar_split_clause,[],[f5799,f5752,f4238,f5986]) ).
fof(f5986,plain,
( spl0_658
<=> ! [X0,X1] : c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f4238,plain,
( spl0_515
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f5752,plain,
( spl0_640
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f5799,plain,
( ! [X0,X1] : c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0
| ~ spl0_515
| ~ spl0_640 ),
inference(resolution,[],[f5753,f4239]) ).
fof(f4239,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_515 ),
inference(avatar_component_clause,[],[f4238]) ).
fof(f5753,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_640 ),
inference(avatar_component_clause,[],[f5752]) ).
fof(f5984,plain,
( spl0_657
| ~ spl0_304
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f4152,f4092,f2945,f5982]) ).
fof(f5982,plain,
( spl0_657
<=> ! [X0,X1] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f2945,plain,
( spl0_304
<=> ! [X12] :
( c_0 = X12
| ~ c_Divides_Oop_Advd(c_0,X12,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f4092,plain,
( spl0_497
<=> ! [X18,X9,X12] :
( ~ c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,X12,tc_nat)
| c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f4152,plain,
( ! [X0,X1] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)) )
| ~ spl0_304
| ~ spl0_497 ),
inference(resolution,[],[f4093,f2946]) ).
fof(f2946,plain,
( ! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_nat)
| c_0 = X12 )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f2945]) ).
fof(f4093,plain,
( ! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X9,X12,tc_nat)
| ~ c_Divides_Oop_Advd(X9,X18,tc_nat) )
| ~ spl0_497 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f5980,plain,
( spl0_656
| ~ spl0_381
| ~ spl0_490 ),
inference(avatar_split_clause,[],[f4069,f4027,f3299,f5978]) ).
fof(f5978,plain,
( spl0_656
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_less(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f4069,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_less(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),tc_set(X2)) )
| ~ spl0_381
| ~ spl0_490 ),
inference(resolution,[],[f4028,f3300]) ).
fof(f5976,plain,
( spl0_655
| ~ spl0_320
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3967,f3887,f3025,f5974]) ).
fof(f5974,plain,
( spl0_655
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_set(X2)),tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f3967,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_set(X2)),tc_set(X2)),X2),X2) )
| ~ spl0_320
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3026]) ).
fof(f5883,plain,
( spl0_654
| ~ spl0_508
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4552,f4497,f4136,f5881]) ).
fof(f5881,plain,
( spl0_654
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_ORange(X1,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f4552,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_ORange(X1,X3,X4),X4) )
| ~ spl0_508
| ~ spl0_544 ),
inference(resolution,[],[f4498,f4137]) ).
fof(f5879,plain,
( spl0_653
| ~ spl0_454
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4400,f4344,f3743,f5877]) ).
fof(f4400,plain,
( ! [X0] :
( ~ c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_ORangeE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) )
| ~ spl0_454
| ~ spl0_533 ),
inference(resolution,[],[f4345,f3744]) ).
fof(f5875,plain,
( spl0_652
| ~ spl0_454
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4374,f4340,f3743,f5873]) ).
fof(f5873,plain,
( spl0_652
<=> ! [X0] :
( ~ c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(X0,c_Main_ODomainE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f4374,plain,
( ! [X0] :
( ~ c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(X0,c_Main_ODomainE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) )
| ~ spl0_454
| ~ spl0_532 ),
inference(resolution,[],[f4341,f3744]) ).
fof(f5871,plain,
( spl0_651
| ~ spl0_299
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f4244,f4229,f2924,f5869]) ).
fof(f5869,plain,
( spl0_651
<=> ! [X0,X3,X2,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f2924,plain,
( spl0_299
<=> ! [X22,X2] : c_append(c_List_Olist_ONil,X22,X2) = X22 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f4229,plain,
( spl0_514
<=> ! [X2,X0,X21,X23,X22] :
( X0 = X23
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f4244,plain,
( ! [X2,X3,X0,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 )
| ~ spl0_299
| ~ spl0_514 ),
inference(superposition,[],[f4230,f2925]) ).
fof(f2925,plain,
( ! [X2,X22] : c_append(c_List_Olist_ONil,X22,X2) = X22
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f4230,plain,
( ! [X2,X21,X0,X22,X23] :
( c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2)
| X0 = X23 )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f4229]) ).
fof(f5867,plain,
( spl0_650
| ~ spl0_299
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f4241,f4225,f2924,f5865]) ).
fof(f5865,plain,
( spl0_650
<=> ! [X0,X3,X2,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| c_List_Olist_ONil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f4225,plain,
( spl0_513
<=> ! [X2,X0,X21,X23,X22] :
( X21 = X22
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f4241,plain,
( ! [X2,X3,X0,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| c_List_Olist_ONil = X2 )
| ~ spl0_299
| ~ spl0_513 ),
inference(superposition,[],[f4226,f2925]) ).
fof(f4226,plain,
( ! [X2,X21,X0,X22,X23] :
( c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2)
| X21 = X22 )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f4225]) ).
fof(f5863,plain,
( spl0_649
| ~ spl0_481
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f4079,f4039,f3899,f5861]) ).
fof(f5861,plain,
( spl0_649
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,X0,X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f3899,plain,
( spl0_481
<=> ! [X13,X2,X34] :
( c_in(c_Main_OdiagE__1(X13,X34,X2),X13,X2)
| ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f4079,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,X0,X2,X2),X2),X1,X2) )
| ~ spl0_481
| ~ spl0_493 ),
inference(resolution,[],[f4040,f3900]) ).
fof(f3900,plain,
( ! [X2,X34,X13] :
( ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2))
| c_in(c_Main_OdiagE__1(X13,X34,X2),X13,X2) )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f3899]) ).
fof(f5859,plain,
( spl0_648
| ~ spl0_381
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f3947,f3867,f3299,f5857]) ).
fof(f5857,plain,
( spl0_648
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_less(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f3947,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_less(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X0,X2),tc_set(X2)) )
| ~ spl0_381
| ~ spl0_473 ),
inference(resolution,[],[f3868,f3300]) ).
fof(f5855,plain,
( spl0_647
| ~ spl0_59
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f5398,f5353,f1655,f5852]) ).
fof(f5852,plain,
( spl0_647
<=> c_in(c_1,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f1655,plain,
( spl0_59
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f5353,plain,
( spl0_603
<=> ! [X0,X1] :
( c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X1,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f5398,plain,
( c_in(c_1,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ spl0_59
| ~ spl0_603 ),
inference(resolution,[],[f5354,f1657]) ).
fof(f1657,plain,
( c_less(c_0,c_1,tc_nat)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f5354,plain,
( ! [X0,X1] :
( ~ c_less(X1,X0,tc_nat)
| c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) )
| ~ spl0_603 ),
inference(avatar_component_clause,[],[f5353]) ).
fof(f5850,plain,
( spl0_646
| ~ spl0_381
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f3939,f3859,f3299,f5848]) ).
fof(f5848,plain,
( spl0_646
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_less(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f3939,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_less(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X1,X2),tc_set(X2)) )
| ~ spl0_381
| ~ spl0_471 ),
inference(resolution,[],[f3860,f3300]) ).
fof(f5846,plain,
( spl0_645
| ~ spl0_381
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f3931,f3851,f3299,f5844]) ).
fof(f5844,plain,
( spl0_645
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f3931,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X0,X2),tc_set(X2)) )
| ~ spl0_381
| ~ spl0_469 ),
inference(resolution,[],[f3852,f3300]) ).
fof(f5842,plain,
( spl0_644
| ~ spl0_381
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f3923,f3843,f3299,f5840]) ).
fof(f5840,plain,
( spl0_644
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f3923,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X1,X2),tc_set(X2)) )
| ~ spl0_381
| ~ spl0_467 ),
inference(resolution,[],[f3844,f3300]) ).
fof(f5770,plain,
( spl0_643
| ~ spl0_289
| ~ spl0_602 ),
inference(avatar_split_clause,[],[f5391,f5349,f2884,f5768]) ).
fof(f5768,plain,
( spl0_643
<=> ! [X0] : c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f2884,plain,
( spl0_289
<=> ! [X18] : c_less(X18,c_Suc(X18),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f5349,plain,
( spl0_602
<=> ! [X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X0,X1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f5391,plain,
( ! [X0] : c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ spl0_289
| ~ spl0_602 ),
inference(resolution,[],[f5350,f2885]) ).
fof(f2885,plain,
( ! [X18] : c_less(X18,c_Suc(X18),tc_nat)
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f5350,plain,
( ! [X0,X1] :
( ~ c_less(X0,X1,tc_nat)
| c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) )
| ~ spl0_602 ),
inference(avatar_component_clause,[],[f5349]) ).
fof(f5762,plain,
( spl0_642
| ~ spl0_430
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4451,f4430,f3543,f5760]) ).
fof(f5760,plain,
( spl0_642
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f3543,plain,
( spl0_430
<=> ! [X2,X4,X14] : c_in(c_Pair(X4,X4,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f4451,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2) )
| ~ spl0_430
| ~ spl0_536 ),
inference(resolution,[],[f4431,f3544]) ).
fof(f3544,plain,
( ! [X2,X14,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f3543]) ).
fof(f5758,plain,
( spl0_641
| ~ spl0_438
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4399,f4344,f3656,f5756]) ).
fof(f4399,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_438
| ~ spl0_533 ),
inference(resolution,[],[f4345,f3657]) ).
fof(f5754,plain,
( spl0_640
| ~ spl0_438
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4373,f4340,f3656,f5752]) ).
fof(f4373,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_438
| ~ spl0_532 ),
inference(resolution,[],[f4341,f3657]) ).
fof(f5750,plain,
( spl0_639
| ~ spl0_311
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3968,f3887,f2973,f5748]) ).
fof(f5748,plain,
( spl0_639
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X1,X3,tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f3968,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X1,X3,tc_set(X2)),X2),X2) )
| ~ spl0_311
| ~ spl0_478 ),
inference(resolution,[],[f3888,f2974]) ).
fof(f5746,plain,
( spl0_638
| ~ spl0_308
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f3912,f3835,f2961,f5744]) ).
fof(f5744,plain,
( spl0_638
<=> ! [X0,X1] :
( c_less(c_0,X0,tc_nat)
| c_less(c_0,X1,tc_nat)
| c_0 = c_plus(X1,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f2961,plain,
( spl0_308
<=> ! [X18] :
( c_0 = X18
| c_less(c_0,X18,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f3835,plain,
( spl0_465
<=> ! [X18,X12] :
( c_less(c_0,X12,tc_nat)
| c_less(c_0,X18,tc_nat)
| ~ c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f3912,plain,
( ! [X0,X1] :
( c_less(c_0,X0,tc_nat)
| c_less(c_0,X1,tc_nat)
| c_0 = c_plus(X1,X0,tc_nat) )
| ~ spl0_308
| ~ spl0_465 ),
inference(resolution,[],[f3836,f2962]) ).
fof(f2962,plain,
( ! [X18] :
( c_less(c_0,X18,tc_nat)
| c_0 = X18 )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f3836,plain,
( ! [X18,X12] :
( ~ c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat)
| c_less(c_0,X18,tc_nat)
| c_less(c_0,X12,tc_nat) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f3835]) ).
fof(f5742,plain,
( spl0_637
| ~ spl0_358
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f3703,f3652,f3188,f5740]) ).
fof(f5740,plain,
( spl0_637
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f3188,plain,
( spl0_358
<=> ! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f3652,plain,
( spl0_437
<=> ! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f3703,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X2,tc_nat)
| ~ spl0_358
| ~ spl0_437 ),
inference(resolution,[],[f3653,f3189]) ).
fof(f3189,plain,
( ! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X18,tc_nat)
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f3188]) ).
fof(f3653,plain,
( ! [X18,X9,X12] :
( ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X9,X18,tc_nat) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f3652]) ).
fof(f5738,plain,
( spl0_636
| ~ spl0_357
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f3702,f3652,f3184,f5736]) ).
fof(f5736,plain,
( spl0_636
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f3184,plain,
( spl0_357
<=> ! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X12,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f3702,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X1,tc_nat)
| ~ spl0_357
| ~ spl0_437 ),
inference(resolution,[],[f3653,f3185]) ).
fof(f3185,plain,
( ! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X12,tc_nat)
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f3184]) ).
fof(f5734,plain,
( spl0_635
| ~ spl0_358
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f3700,f3648,f3188,f5732]) ).
fof(f5732,plain,
( spl0_635
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f3648,plain,
( spl0_436
<=> ! [X9,X12,X18] :
( c_Divides_Oop_Advd(X9,X12,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f3700,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X1,tc_nat)
| ~ spl0_358
| ~ spl0_436 ),
inference(resolution,[],[f3649,f3189]) ).
fof(f3649,plain,
( ! [X18,X9,X12] :
( ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X9,X12,tc_nat) )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f3648]) ).
fof(f5726,plain,
( spl0_634
| ~ spl0_357
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f3699,f3648,f3184,f5724]) ).
fof(f5724,plain,
( spl0_634
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f3699,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X0,tc_nat)
| ~ spl0_357
| ~ spl0_436 ),
inference(resolution,[],[f3649,f3185]) ).
fof(f5699,plain,
( spl0_633
| ~ spl0_64
| ~ spl0_610 ),
inference(avatar_split_clause,[],[f5497,f5445,f1676,f5697]) ).
fof(f5697,plain,
( spl0_633
<=> ! [X0] : c_Divides_Oop_Advd(c_uminus(c_1,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f1676,plain,
( spl0_64
<=> ! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f5445,plain,
( spl0_610
<=> ! [X0,X1] :
( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f5497,plain,
( ! [X0] : c_Divides_Oop_Advd(c_uminus(c_1,tc_IntDef_Oint),X0,tc_IntDef_Oint)
| ~ spl0_64
| ~ spl0_610 ),
inference(resolution,[],[f5446,f1677]) ).
fof(f1677,plain,
( ! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f5446,plain,
( ! [X0,X1] :
( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) )
| ~ spl0_610 ),
inference(avatar_component_clause,[],[f5445]) ).
fof(f5687,plain,
( spl0_632
| ~ spl0_484
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4557,f4497,f4003,f5685]) ).
fof(f5685,plain,
( spl0_632
<=> ! [X2,X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olex(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f4003,plain,
( spl0_484
<=> ! [X2,X21,X14] : ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f4557,plain,
( ! [X2,X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olex(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_484
| ~ spl0_544 ),
inference(resolution,[],[f4498,f4004]) ).
fof(f4004,plain,
( ! [X2,X21,X14] : ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f4003]) ).
fof(f5683,plain,
( spl0_631
| ~ spl0_493
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4202,f4136,f4039,f5681]) ).
fof(f5681,plain,
( spl0_631
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f4202,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_493
| ~ spl0_508 ),
inference(resolution,[],[f4137,f4040]) ).
fof(f5679,plain,
( spl0_630
| ~ spl0_493
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4177,f4124,f4039,f5677]) ).
fof(f5677,plain,
( spl0_630
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f4177,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_493
| ~ spl0_505 ),
inference(resolution,[],[f4125,f4040]) ).
fof(f5675,plain,
( spl0_629
| ~ spl0_336
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3997,f3887,f3089,f5673]) ).
fof(f5673,plain,
( spl0_629
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f3089,plain,
( spl0_336
<=> ! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f3997,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_336
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3090]) ).
fof(f3090,plain,
( ! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f5671,plain,
( spl0_628
| ~ spl0_335
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3996,f3887,f3085,f5669]) ).
fof(f5669,plain,
( spl0_628
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f3085,plain,
( spl0_335
<=> ! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f3996,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_335
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3086]) ).
fof(f3086,plain,
( ! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f3085]) ).
fof(f5667,plain,
( spl0_627
| ~ spl0_334
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3995,f3887,f3081,f5665]) ).
fof(f5665,plain,
( spl0_627
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f3081,plain,
( spl0_334
<=> ! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f3995,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_334
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3082]) ).
fof(f3082,plain,
( ! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f3081]) ).
fof(f5659,plain,
( spl0_626
| ~ spl0_333
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3994,f3887,f3077,f5657]) ).
fof(f5657,plain,
( spl0_626
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f3077,plain,
( spl0_333
<=> ! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f3994,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_333
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3078]) ).
fof(f3078,plain,
( ! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f5655,plain,
( spl0_625
| ~ spl0_331
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3993,f3887,f3069,f5653]) ).
fof(f5653,plain,
( spl0_625
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f3069,plain,
( spl0_331
<=> ! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f3993,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_331
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3070]) ).
fof(f3070,plain,
( ! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f3069]) ).
fof(f5651,plain,
( spl0_624
| ~ spl0_330
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3992,f3887,f3065,f5649]) ).
fof(f5649,plain,
( spl0_624
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f3065,plain,
( spl0_330
<=> ! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f3992,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_330
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3066]) ).
fof(f3066,plain,
( ! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f5647,plain,
( spl0_623
| ~ spl0_329
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3991,f3887,f3061,f5645]) ).
fof(f5645,plain,
( spl0_623
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f3061,plain,
( spl0_329
<=> ! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f3991,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_329
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3062]) ).
fof(f3062,plain,
( ! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f3061]) ).
fof(f5643,plain,
( spl0_622
| ~ spl0_328
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3990,f3887,f3057,f5641]) ).
fof(f5641,plain,
( spl0_622
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f3057,plain,
( spl0_328
<=> ! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f3990,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_328
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3058]) ).
fof(f3058,plain,
( ! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f3057]) ).
fof(f5639,plain,
( spl0_621
| ~ spl0_363
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f3315,f3231,f3227,f5637]) ).
fof(f5637,plain,
( spl0_621
<=> ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__Some__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f3227,plain,
( spl0_363
<=> ! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X2),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f3231,plain,
( spl0_364
<=> ! [X4,X2,X3] :
( X3 = X4
| c_Datatype_Ooption_OSome(X3,X2) != c_Datatype_Ooption_OSome(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f3315,plain,
( ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__Some__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_363
| ~ spl0_364 ),
inference(superposition,[],[f3232,f3228]) ).
fof(f3228,plain,
( ! [X2,X0] :
( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X2),X2) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f3227]) ).
fof(f3232,plain,
( ! [X2,X3,X4] :
( c_Datatype_Ooption_OSome(X3,X2) != c_Datatype_Ooption_OSome(X4,X2)
| X3 = X4 )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f5635,plain,
( spl0_620
| ~ spl0_362
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f3314,f3231,f3223,f5633]) ).
fof(f5633,plain,
( spl0_620
<=> ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__None__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f3223,plain,
( spl0_362
<=> ! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X2),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f3314,plain,
( ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__None__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_362
| ~ spl0_364 ),
inference(superposition,[],[f3232,f3224]) ).
fof(f3224,plain,
( ! [X2,X0] :
( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X2),X2) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f5534,plain,
( spl0_619
| ~ spl0_588
| ~ spl0_591 ),
inference(avatar_split_clause,[],[f5473,f5180,f5145,f5532]) ).
fof(f5532,plain,
( spl0_619
<=> ! [X0] : c_emptyset = c_Union(c_emptyset,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f5145,plain,
( spl0_588
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f5473,plain,
( ! [X0] : c_emptyset = c_Union(c_emptyset,X0)
| ~ spl0_588
| ~ spl0_591 ),
inference(resolution,[],[f5181,f5146]) ).
fof(f5146,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_588 ),
inference(avatar_component_clause,[],[f5145]) ).
fof(f5485,plain,
( spl0_618
| ~ spl0_67
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4462,f4430,f1688,f5483]) ).
fof(f5483,plain,
( spl0_618
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3)
| ~ c_in(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f1688,plain,
( spl0_67
<=> ! [X2,X0] : c_in(X0,c_UNIV,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f4462,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3)
| ~ c_in(X4,X1,X2) )
| ~ spl0_67
| ~ spl0_536 ),
inference(resolution,[],[f4431,f1689]) ).
fof(f1689,plain,
( ! [X2,X0] : c_in(X0,c_UNIV,X2)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f5481,plain,
( spl0_617
| ~ spl0_380
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4450,f4430,f3295,f5479]) ).
fof(f5479,plain,
( spl0_617
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f3295,plain,
( spl0_380
<=> ! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f4450,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_380
| ~ spl0_536 ),
inference(resolution,[],[f4431,f3296]) ).
fof(f3296,plain,
( ! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2))
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f3295]) ).
fof(f5477,plain,
( spl0_616
| ~ spl0_484
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4403,f4344,f4003,f5475]) ).
fof(f5475,plain,
( spl0_616
<=> ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f4403,plain,
( ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_484
| ~ spl0_533 ),
inference(resolution,[],[f4345,f4004]) ).
fof(f5467,plain,
( spl0_615
| ~ spl0_485
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4377,f4340,f4007,f5465]) ).
fof(f5465,plain,
( spl0_615
<=> ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f4007,plain,
( spl0_485
<=> ! [X22,X2,X14] : ~ c_in(c_Pair(c_List_Olist_ONil,X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f4377,plain,
( ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_485
| ~ spl0_532 ),
inference(resolution,[],[f4341,f4008]) ).
fof(f4008,plain,
( ! [X2,X14,X22] : ~ c_in(c_Pair(c_List_Olist_ONil,X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f4007]) ).
fof(f5463,plain,
( spl0_614
| ~ spl0_292
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f4163,f4112,f2896,f5461]) ).
fof(f5461,plain,
( spl0_614
<=> ! [X0,X1] : c_insert(X0,c_emptyset,X1) = c_insert(X0,c_insert(X0,c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f4112,plain,
( spl0_502
<=> ! [X13,X2,X0] :
( ~ c_lessequals(X13,c_insert(X0,c_emptyset,X2),tc_set(X2))
| c_insert(X0,c_emptyset,X2) = c_insert(X0,X13,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f4163,plain,
( ! [X0,X1] : c_insert(X0,c_emptyset,X1) = c_insert(X0,c_insert(X0,c_emptyset,X1),X1)
| ~ spl0_292
| ~ spl0_502 ),
inference(resolution,[],[f4113,f2897]) ).
fof(f4113,plain,
( ! [X2,X0,X13] :
( ~ c_lessequals(X13,c_insert(X0,c_emptyset,X2),tc_set(X2))
| c_insert(X0,c_emptyset,X2) = c_insert(X0,X13,X2) )
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f4112]) ).
fof(f5459,plain,
( spl0_613
| ~ spl0_319
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3987,f3887,f3005,f5457]) ).
fof(f5457,plain,
( spl0_613
<=> ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OlessThan(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f3005,plain,
( spl0_319
<=> ! [X9] : c_in(c_SetInterval_OlessThan(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f3987,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OlessThan(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_319
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3006]) ).
fof(f3006,plain,
( ! [X9] : c_in(c_SetInterval_OlessThan(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f5455,plain,
( spl0_612
| ~ spl0_318
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3986,f3887,f3001,f5453]) ).
fof(f5453,plain,
( spl0_612
<=> ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OatMost(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f3001,plain,
( spl0_318
<=> ! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f3986,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OatMost(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_318
| ~ spl0_478 ),
inference(resolution,[],[f3888,f3002]) ).
fof(f3002,plain,
( ! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f5451,plain,
( spl0_611
| ~ spl0_316
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3985,f3887,f2993,f5449]) ).
fof(f5449,plain,
( spl0_611
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_List_Oset(X1,X2),X2)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f2993,plain,
( spl0_316
<=> ! [X2,X21] : c_in(c_List_Oset(X21,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3985,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_List_Oset(X1,X2),X2)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X2),X2) )
| ~ spl0_316
| ~ spl0_478 ),
inference(resolution,[],[f3888,f2994]) ).
fof(f2994,plain,
( ! [X2,X21] : c_in(c_List_Oset(X21,X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f2993]) ).
fof(f5447,plain,
( spl0_610
| ~ spl0_368
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f3327,f3259,f3247,f5445]) ).
fof(f3247,plain,
( spl0_368
<=> ! [X20,X19] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f3259,plain,
( spl0_371
<=> ! [X20,X19] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f3327,plain,
( ! [X0,X1] :
( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) )
| ~ spl0_368
| ~ spl0_371 ),
inference(resolution,[],[f3260,f3248]) ).
fof(f3248,plain,
( ! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3260,plain,
( ! [X19,X20] :
( c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f3259]) ).
fof(f5443,plain,
( spl0_609
| ~ spl0_369
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f3325,f3255,f3251,f5441]) ).
fof(f5441,plain,
( spl0_609
<=> ! [X0,X1] :
( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f3251,plain,
( spl0_369
<=> ! [X20,X19] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f3255,plain,
( spl0_370
<=> ! [X20,X19] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f3325,plain,
( ! [X0,X1] :
( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) )
| ~ spl0_369
| ~ spl0_370 ),
inference(resolution,[],[f3256,f3252]) ).
fof(f3252,plain,
( ! [X19,X20] :
( c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f3256,plain,
( ! [X19,X20] :
( ~ c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f3255]) ).
fof(f5375,plain,
( spl0_608
| ~ spl0_61
| ~ spl0_568 ),
inference(avatar_split_clause,[],[f4825,f4776,f1664,f5373]) ).
fof(f5373,plain,
( spl0_608
<=> ! [X4,X0,X3,X2,X1] : ~ c_in(X0,c_Relation_Orel__comp(X1,c_emptyset,X2,X3,X4),tc_prod(X4,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f4776,plain,
( spl0_568
<=> ! [X37,X45,X46,X14,X5,X2] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),X2,X46),X37,tc_prod(X2,X46)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f4825,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(X1,c_emptyset,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_61
| ~ spl0_568 ),
inference(resolution,[],[f4777,f1665]) ).
fof(f4777,plain,
( ! [X2,X46,X37,X45,X14,X5] :
( c_in(c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),X2,X46),X37,tc_prod(X2,X46))
| ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5)) )
| ~ spl0_568 ),
inference(avatar_component_clause,[],[f4776]) ).
fof(f5371,plain,
( spl0_607
| ~ spl0_61
| ~ spl0_567 ),
inference(avatar_split_clause,[],[f4795,f4772,f1664,f5369]) ).
fof(f5369,plain,
( spl0_607
<=> ! [X4,X0,X3,X2,X1] : ~ c_in(X0,c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4),tc_prod(X4,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f4772,plain,
( spl0_567
<=> ! [X37,X45,X46,X14,X5,X2] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X46,X5),X14,tc_prod(X46,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f4795,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_61
| ~ spl0_567 ),
inference(resolution,[],[f4773,f1665]) ).
fof(f4773,plain,
( ! [X2,X46,X37,X45,X14,X5] :
( c_in(c_Pair(c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X46,X5),X14,tc_prod(X46,X5))
| ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5)) )
| ~ spl0_567 ),
inference(avatar_component_clause,[],[f4772]) ).
fof(f5367,plain,
( spl0_606
| ~ spl0_61
| ~ spl0_543 ),
inference(avatar_split_clause,[],[f4533,f4493,f1664,f5365]) ).
fof(f5365,plain,
( spl0_606
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Ouprod(c_emptyset,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f4493,plain,
( spl0_543
<=> ! [X15,X34,X13,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__1(X13,X15,X34,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f4533,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Ouprod(c_emptyset,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ spl0_61
| ~ spl0_543 ),
inference(resolution,[],[f4494,f1665]) ).
fof(f4494,plain,
( ! [X2,X34,X15,X5,X13] :
( c_in(c_Main_OuprodE__1(X13,X15,X34,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) )
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f4493]) ).
fof(f5363,plain,
( spl0_605
| ~ spl0_61
| ~ spl0_542 ),
inference(avatar_split_clause,[],[f4513,f4489,f1664,f5361]) ).
fof(f5361,plain,
( spl0_605
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_emptyset,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f4489,plain,
( spl0_542
<=> ! [X15,X34,X13,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__2(X13,X15,X34,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f4513,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_emptyset,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ spl0_61
| ~ spl0_542 ),
inference(resolution,[],[f4490,f1665]) ).
fof(f4490,plain,
( ! [X2,X34,X15,X5,X13] :
( c_in(c_Main_OuprodE__2(X13,X15,X34,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) )
| ~ spl0_542 ),
inference(avatar_component_clause,[],[f4489]) ).
fof(f5359,plain,
( spl0_604
| ~ spl0_320
| ~ spl0_598 ),
inference(avatar_split_clause,[],[f5252,f5249,f3025,f5357]) ).
fof(f5249,plain,
( spl0_598
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f5252,plain,
( ! [X0,X1] : c_in(X0,c_Union(c_UNIV,X1),X1)
| ~ spl0_320
| ~ spl0_598 ),
inference(resolution,[],[f5250,f3026]) ).
fof(f5250,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) )
| ~ spl0_598 ),
inference(avatar_component_clause,[],[f5249]) ).
fof(f5355,plain,
( spl0_603
| ~ spl0_455
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4203,f4136,f3747,f5353]) ).
fof(f4203,plain,
( ! [X0,X1] :
( c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X1,X0,tc_nat) )
| ~ spl0_455
| ~ spl0_508 ),
inference(resolution,[],[f4137,f3748]) ).
fof(f5351,plain,
( spl0_602
| ~ spl0_455
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4178,f4124,f3747,f5349]) ).
fof(f4178,plain,
( ! [X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X0,X1,tc_nat) )
| ~ spl0_455
| ~ spl0_505 ),
inference(resolution,[],[f4125,f3748]) ).
fof(f5347,plain,
( spl0_601
| ~ spl0_284
| ~ spl0_299
| ~ spl0_487 ),
inference(avatar_split_clause,[],[f4051,f4015,f2924,f2864,f5345]) ).
fof(f5345,plain,
( spl0_601
<=> ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f2864,plain,
( spl0_284
<=> ! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f4015,plain,
( spl0_487
<=> ! [X22,X2,X23] : c_List_Olist_OCons(X23,X22,X2) = c_List_Orev(c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f4051,plain,
( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0)
| ~ spl0_284
| ~ spl0_299
| ~ spl0_487 ),
inference(forward_demodulation,[],[f4046,f2925]) ).
fof(f4046,plain,
( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_append(c_List_Olist_ONil,c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0),X0)
| ~ spl0_284
| ~ spl0_487 ),
inference(superposition,[],[f4016,f2865]) ).
fof(f2865,plain,
( ! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2)
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f4016,plain,
( ! [X2,X22,X23] : c_List_Olist_OCons(X23,X22,X2) = c_List_Orev(c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2),X2)
| ~ spl0_487 ),
inference(avatar_component_clause,[],[f4015]) ).
fof(f5343,plain,
( spl0_600
| ~ spl0_320
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f3312,f3227,f3025,f5341]) ).
fof(f5341,plain,
( spl0_600
<=> ! [X0,X1] :
( c_in(c_Main_Onot__Some__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f3312,plain,
( ! [X0,X1] :
( c_in(c_Main_Onot__Some__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_320
| ~ spl0_363 ),
inference(superposition,[],[f3026,f3228]) ).
fof(f5339,plain,
( spl0_599
| ~ spl0_320
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f3310,f3223,f3025,f5337]) ).
fof(f5337,plain,
( spl0_599
<=> ! [X0,X1] :
( c_in(c_Main_Onot__None__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f3310,plain,
( ! [X0,X1] :
( c_in(c_Main_Onot__None__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_320
| ~ spl0_362 ),
inference(superposition,[],[f3026,f3224]) ).
fof(f5251,plain,
( spl0_598
| ~ spl0_67
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f3973,f3887,f1688,f5249]) ).
fof(f3973,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) )
| ~ spl0_67
| ~ spl0_478 ),
inference(resolution,[],[f3888,f1689]) ).
fof(f5206,plain,
( spl0_597
| ~ spl0_61
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f4653,f4631,f1664,f5204]) ).
fof(f5204,plain,
( spl0_597
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f4653,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1))
| ~ spl0_61
| ~ spl0_554 ),
inference(resolution,[],[f4632,f1665]) ).
fof(f5202,plain,
( spl0_596
| ~ spl0_430
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4201,f4136,f3543,f5200]) ).
fof(f5200,plain,
( spl0_596
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f4201,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_430
| ~ spl0_508 ),
inference(resolution,[],[f4137,f3544]) ).
fof(f5198,plain,
( spl0_595
| ~ spl0_430
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4176,f4124,f3543,f5196]) ).
fof(f5196,plain,
( spl0_595
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f4176,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_430
| ~ spl0_505 ),
inference(resolution,[],[f4125,f3544]) ).
fof(f5194,plain,
( spl0_594
| ~ spl0_458
| ~ spl0_492 ),
inference(avatar_split_clause,[],[f4078,f4035,f3759,f5192]) ).
fof(f5192,plain,
( spl0_594
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f4035,plain,
( spl0_492
<=> ! [X13,X2,X21] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(X13,X21,X2),c_List_Oset(X21,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f4078,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1))
| ~ spl0_458
| ~ spl0_492 ),
inference(duplicate_literal_removal,[],[f4075]) ).
fof(f4075,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1))
| c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1)) )
| ~ spl0_458
| ~ spl0_492 ),
inference(resolution,[],[f4036,f3760]) ).
fof(f4036,plain,
( ! [X2,X21,X13] :
( c_in(c_Main_Oin__listsI__1(X13,X21,X2),c_List_Oset(X21,X2),X2)
| c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) )
| ~ spl0_492 ),
inference(avatar_component_clause,[],[f4035]) ).
fof(f5190,plain,
( spl0_593
| ~ spl0_297
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f3597,f3531,f2916,f5188]) ).
fof(f5188,plain,
( spl0_593
<=> ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f2916,plain,
( spl0_297
<=> ! [X2] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3531,plain,
( spl0_427
<=> ! [X2,X21] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)),c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f3597,plain,
( ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat)
| ~ spl0_297
| ~ spl0_427 ),
inference(superposition,[],[f3532,f2917]) ).
fof(f2917,plain,
( ! [X2] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2))
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f3532,plain,
( ! [X2,X21] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)),c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat)
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f3531]) ).
fof(f5186,plain,
( spl0_592
| ~ spl0_299
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f3562,f3429,f2924,f5184]) ).
fof(f5184,plain,
( spl0_592
<=> ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f3429,plain,
( spl0_403
<=> ! [X2,X24,X21,X22] :
( X22 = X24
| c_append(X21,X22,X2) != c_append(X21,X24,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f3562,plain,
( ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 )
| ~ spl0_299
| ~ spl0_403 ),
inference(superposition,[],[f3430,f2925]) ).
fof(f3430,plain,
( ! [X2,X21,X24,X22] :
( c_append(X21,X22,X2) != c_append(X21,X24,X2)
| X22 = X24 )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f3429]) ).
fof(f5182,plain,
( spl0_591
| ~ spl0_428
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3966,f3875,f3535,f5180]) ).
fof(f3875,plain,
( spl0_475
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f3966,plain,
( ! [X0,X1] : c_lessequals(c_Union(c_emptyset,X0),X1,tc_set(X0))
| ~ spl0_428
| ~ spl0_475 ),
inference(resolution,[],[f3876,f3536]) ).
fof(f3876,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f5178,plain,
( spl0_590
| ~ spl0_296
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f3554,f3413,f2912,f5176]) ).
fof(f5176,plain,
( spl0_590
<=> ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f2912,plain,
( spl0_296
<=> ! [X2,X21] : c_append(X21,c_List_Olist_ONil,X2) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f3413,plain,
( spl0_399
<=> ! [X2,X24,X21,X22] :
( X22 = X24
| c_append(X22,X21,X2) != c_append(X24,X21,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f3554,plain,
( ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 )
| ~ spl0_296
| ~ spl0_399 ),
inference(superposition,[],[f3414,f2913]) ).
fof(f2913,plain,
( ! [X2,X21] : c_append(X21,c_List_Olist_ONil,X2) = X21
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f3414,plain,
( ! [X2,X21,X24,X22] :
( c_append(X22,X21,X2) != c_append(X24,X21,X2)
| X22 = X24 )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f3413]) ).
fof(f5155,plain,
( spl0_589
| ~ spl0_61
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f4560,f4497,f1664,f5153]) ).
fof(f5153,plain,
( spl0_589
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f4560,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3)
| ~ spl0_61
| ~ spl0_544 ),
inference(resolution,[],[f4498,f1665]) ).
fof(f5147,plain,
( spl0_588
| ~ spl0_291
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f3718,f3692,f2892,f5145]) ).
fof(f2892,plain,
( spl0_291
<=> ! [X13,X2] : c_lessequals(c_emptyset,X13,tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3692,plain,
( spl0_447
<=> ! [X13,X2,X15] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f3718,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_291
| ~ spl0_447 ),
inference(resolution,[],[f3693,f2893]) ).
fof(f2893,plain,
( ! [X2,X13] : c_lessequals(c_emptyset,X13,tc_set(X2))
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f2892]) ).
fof(f3693,plain,
( ! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15 )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f3692]) ).
fof(f5110,plain,
spl0_587,
inference(avatar_split_clause,[],[f204,f5108]) ).
fof(f5108,plain,
( spl0_587
<=> ! [X37,X10,X11,X8,X14,X5,X2,X7] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_OScons(X10,X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f204,axiom,
! [X2,X10,X11,X8,X37,X7,X14,X5] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_OScons(X10,X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodI_0) ).
fof(f5106,plain,
( spl0_586
| ~ spl0_61
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4406,f4344,f1664,f5104]) ).
fof(f5104,plain,
( spl0_586
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f4406,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2)
| ~ spl0_61
| ~ spl0_533 ),
inference(resolution,[],[f4345,f1665]) ).
fof(f5091,plain,
spl0_585,
inference(avatar_split_clause,[],[f208,f5089]) ).
fof(f5089,plain,
( spl0_585
<=> ! [X37,X14,X5,X2,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f208,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_3) ).
fof(f5065,plain,
spl0_584,
inference(avatar_split_clause,[],[f207,f5063]) ).
fof(f5063,plain,
( spl0_584
<=> ! [X37,X14,X5,X2,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f207,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_2) ).
fof(f5061,plain,
spl0_583,
inference(avatar_split_clause,[],[f206,f5059]) ).
fof(f5059,plain,
( spl0_583
<=> ! [X37,X14,X5,X2,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f206,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_1) ).
fof(f5046,plain,
spl0_582,
inference(avatar_split_clause,[],[f205,f5044]) ).
fof(f5044,plain,
( spl0_582
<=> ! [X37,X14,X5,X2,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f205,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_0) ).
fof(f5033,plain,
spl0_581,
inference(avatar_split_clause,[],[f201,f5031]) ).
fof(f5031,plain,
( spl0_581
<=> ! [X37,X34,X14,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__2(X34,X14,X37,X2,X5),X2,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f201,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__2(X34,X14,X37,X2,X5),X2,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_0) ).
fof(f5029,plain,
( spl0_580
| ~ spl0_61
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4380,f4340,f1664,f5027]) ).
fof(f5027,plain,
( spl0_580
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f4380,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1)
| ~ spl0_61
| ~ spl0_532 ),
inference(resolution,[],[f4341,f1665]) ).
fof(f5017,plain,
spl0_579,
inference(avatar_split_clause,[],[f210,f5015]) ).
fof(f5015,plain,
( spl0_579
<=> ! [X37,X11,X8,X14,X5,X2] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_OIn1(X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f210,axiom,
! [X2,X11,X8,X37,X14,X5] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_OIn1(X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In1I_0) ).
fof(f5013,plain,
spl0_578,
inference(avatar_split_clause,[],[f209,f5011]) ).
fof(f5011,plain,
( spl0_578
<=> ! [X37,X10,X14,X5,X2,X7] :
( ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_OIn0(X10,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f209,axiom,
! [X2,X10,X37,X7,X14,X5] :
( ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_OIn0(X10,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In0I_0) ).
fof(f4949,plain,
spl0_577,
inference(avatar_split_clause,[],[f203,f4947]) ).
fof(f203,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__3(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_2) ).
fof(f4945,plain,
spl0_576,
inference(avatar_split_clause,[],[f202,f4943]) ).
fof(f202,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_1) ).
fof(f4920,plain,
spl0_575,
inference(avatar_split_clause,[],[f252,f4918]) ).
fof(f4918,plain,
( spl0_575
<=> ! [X2,X14,X21,X23,X22] :
( ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f252,axiom,
! [X2,X21,X14,X22,X23] :
( ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_1) ).
fof(f4916,plain,
spl0_574,
inference(avatar_split_clause,[],[f249,f4914]) ).
fof(f4914,plain,
( spl0_574
<=> ! [X2,X14,X21,X23,X22] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(X22,c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f249,axiom,
! [X2,X21,X14,X22,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(X22,c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_1) ).
fof(f4875,plain,
spl0_573,
inference(avatar_split_clause,[],[f283,f4873]) ).
fof(f4873,plain,
( spl0_573
<=> ! [X2,X6,X4,X34,X14,X5,X46,X37] :
( ~ c_in(c_Pair(X6,X34,X5,X46),X14,tc_prod(X5,X46))
| ~ c_in(c_Pair(X4,X6,X2,X5),X37,tc_prod(X2,X5))
| c_in(c_Pair(X4,X34,X2,X46),c_Relation_Orel__comp(X14,X37,X5,X46,X2),tc_prod(X2,X46)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f283,axiom,
! [X2,X46,X37,X6,X14,X4,X34,X5] :
( ~ c_in(c_Pair(X6,X34,X5,X46),X14,tc_prod(X5,X46))
| ~ c_in(c_Pair(X4,X6,X2,X5),X37,tc_prod(X2,X5))
| c_in(c_Pair(X4,X34,X2,X46),c_Relation_Orel__comp(X14,X37,X5,X46,X2),tc_prod(X2,X46)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compI_0) ).
fof(f4871,plain,
spl0_572,
inference(avatar_split_clause,[],[f251,f4869]) ).
fof(f4869,plain,
( spl0_572
<=> ! [X2,X14,X21,X23,X22] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f251,axiom,
! [X2,X21,X14,X22,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_0) ).
fof(f4867,plain,
spl0_571,
inference(avatar_split_clause,[],[f248,f4865]) ).
fof(f4865,plain,
( spl0_571
<=> ! [X2,X14,X21,X23,X22] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f248,axiom,
! [X2,X21,X14,X22,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_0) ).
fof(f4854,plain,
spl0_570,
inference(avatar_split_clause,[],[f253,f4852]) ).
fof(f4852,plain,
( spl0_570
<=> ! [X2,X14,X21,X23,X22] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),X23,X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f253,axiom,
! [X2,X21,X14,X22,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),X23,X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_2) ).
fof(f4850,plain,
spl0_569,
inference(avatar_split_clause,[],[f250,f4848]) ).
fof(f4848,plain,
( spl0_569
<=> ! [X2,X14,X21,X23,X22] :
( c_in(c_Pair(X23,c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f250,axiom,
! [X2,X21,X14,X22,X23] :
( c_in(c_Pair(X23,c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_2) ).
fof(f4778,plain,
spl0_568,
inference(avatar_split_clause,[],[f281,f4776]) ).
fof(f281,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),X2,X46),X37,tc_prod(X2,X46)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_1) ).
fof(f4774,plain,
spl0_567,
inference(avatar_split_clause,[],[f280,f4772]) ).
fof(f280,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X46,X5),X14,tc_prod(X46,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_0) ).
fof(f4770,plain,
spl0_566,
inference(avatar_split_clause,[],[f218,f4768]) ).
fof(f4768,plain,
( spl0_566
<=> ! [X15,X38,X13,X5,X2] :
( ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f218,axiom,
! [X2,X38,X15,X5,X13] :
( ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_3) ).
fof(f4744,plain,
spl0_565,
inference(avatar_split_clause,[],[f217,f4742]) ).
fof(f4742,plain,
( spl0_565
<=> ! [X15,X38,X13,X5,X2] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f217,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_2) ).
fof(f4740,plain,
spl0_564,
inference(avatar_split_clause,[],[f216,f4738]) ).
fof(f4738,plain,
( spl0_564
<=> ! [X15,X38,X13,X5,X2] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f216,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_1) ).
fof(f4728,plain,
spl0_563,
inference(avatar_split_clause,[],[f215,f4726]) ).
fof(f4726,plain,
( spl0_563
<=> ! [X15,X38,X13,X5,X2] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f215,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_0) ).
fof(f4716,plain,
spl0_562,
inference(avatar_split_clause,[],[f313,f4714]) ).
fof(f4714,plain,
( spl0_562
<=> ! [X15,X38,X13,X5,X2] :
( ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f313,axiom,
! [X2,X38,X15,X5,X13] :
( ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_0) ).
fof(f4712,plain,
spl0_561,
inference(avatar_split_clause,[],[f282,f4710]) ).
fof(f4710,plain,
( spl0_561
<=> ! [X37,X45,X46,X14,X5,X2] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X2,X5) = X45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f282,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X2,X5) = X45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_2) ).
fof(f4705,plain,
spl0_560,
inference(avatar_split_clause,[],[f1362,f4703]) ).
fof(f4703,plain,
( spl0_560
<=> ! [X2,X40] :
( ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f1362,axiom,
! [X40,X2] :
( ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f4701,plain,
spl0_559,
inference(avatar_split_clause,[],[f214,f4699]) ).
fof(f4699,plain,
( spl0_559
<=> ! [X15,X13,X8,X5,X2,X7] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f214,axiom,
! [X2,X8,X7,X15,X5,X13] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodI_0) ).
fof(f4685,plain,
spl0_558,
inference(avatar_split_clause,[],[f315,f4683]) ).
fof(f4683,plain,
( spl0_558
<=> ! [X15,X38,X13,X5,X2] :
( c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f315,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_2) ).
fof(f4681,plain,
spl0_557,
inference(avatar_split_clause,[],[f314,f4679]) ).
fof(f4679,plain,
( spl0_557
<=> ! [X15,X38,X13,X5,X2] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f314,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_1) ).
fof(f4677,plain,
spl0_556,
inference(avatar_split_clause,[],[f211,f4675]) ).
fof(f4675,plain,
( spl0_556
<=> ! [X15,X34,X13,X5,X2] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X13,X15,X34,X2,X5),c_Main_OuprodE__2(X13,X15,X34,X2,X5),X2,X5) = X34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f211,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X13,X15,X34,X2,X5),c_Main_OuprodE__2(X13,X15,X34,X2,X5),X2,X5) = X34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_0) ).
fof(f4641,plain,
( ~ spl0_555
| spl0_56
| ~ spl0_491
| spl0_545 ),
inference(avatar_split_clause,[],[f4605,f4503,f4031,f1641,f4638]) ).
fof(f1641,plain,
( spl0_56
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f4031,plain,
( spl0_491
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f4503,plain,
( spl0_545
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f4605,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_491
| spl0_545 ),
inference(resolution,[],[f4505,f4032]) ).
fof(f4032,plain,
( ! [X2,X34,X15,X13] :
( c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) )
| ~ spl0_491 ),
inference(avatar_component_clause,[],[f4031]) ).
fof(f4505,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| spl0_545 ),
inference(avatar_component_clause,[],[f4503]) ).
fof(f4633,plain,
spl0_554,
inference(avatar_split_clause,[],[f275,f4631]) ).
fof(f275,axiom,
! [X2,X44,X14,X5] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_OconverseE__1(X14,X44,X5,X2),c_Main_OconverseE__2(X14,X44,X5,X2),X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OconverseE_0) ).
fof(f4629,plain,
spl0_553,
inference(avatar_split_clause,[],[f196,f4627]) ).
fof(f4627,plain,
( spl0_553
<=> ! [X0,X14,X23,X2] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f196,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
fof(f4625,plain,
spl0_552,
inference(avatar_split_clause,[],[f193,f4623]) ).
fof(f4623,plain,
( spl0_552
<=> ! [X0,X14,X23,X2] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f193,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
fof(f4618,plain,
spl0_551,
inference(avatar_split_clause,[],[f316,f4616]) ).
fof(f4616,plain,
( spl0_551
<=> ! [X15,X38,X13,X5,X2] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f316,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_3) ).
fof(f4599,plain,
spl0_550,
inference(avatar_split_clause,[],[f320,f4597]) ).
fof(f4597,plain,
( spl0_550
<=> ! [X4,X14,X6,X2] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f320,axiom,
! [X2,X6,X14,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(f4595,plain,
spl0_549,
inference(avatar_split_clause,[],[f276,f4593]) ).
fof(f4593,plain,
( spl0_549
<=> ! [X44,X14,X5,X2] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_OconverseE__2(X14,X44,X5,X2),c_Main_OconverseE__1(X14,X44,X5,X2),X2,X5) = X44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f276,axiom,
! [X2,X44,X14,X5] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_OconverseE__2(X14,X44,X5,X2),c_Main_OconverseE__1(X14,X44,X5,X2),X2,X5) = X44 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OconverseE_1) ).
fof(f4591,plain,
spl0_548,
inference(avatar_split_clause,[],[f195,f4589]) ).
fof(f4589,plain,
( spl0_548
<=> ! [X0,X14,X23,X2] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f195,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f4587,plain,
spl0_547,
inference(avatar_split_clause,[],[f192,f4585]) ).
fof(f4585,plain,
( spl0_547
<=> ! [X0,X14,X23,X2] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f192,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f4583,plain,
spl0_546,
inference(avatar_split_clause,[],[f62,f4581]) ).
fof(f4581,plain,
( spl0_546
<=> ! [X13,X21,X22,X2] :
( ~ c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f62,axiom,
! [X2,X21,X22,X13] :
( ~ c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(f4506,plain,
( ~ spl0_545
| ~ spl0_57
| ~ spl0_539 ),
inference(avatar_split_clause,[],[f4479,f4442,f1646,f4503]) ).
fof(f1646,plain,
( spl0_57
<=> c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f4442,plain,
( spl0_539
<=> ! [X34,X2,X40] :
( c_Zorn_Osucc(X40,X34,X2) != X34
| ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f4479,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ spl0_57
| ~ spl0_539 ),
inference(trivial_inequality_removal,[],[f4478]) ).
fof(f4478,plain,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ spl0_57
| ~ spl0_539 ),
inference(superposition,[],[f4443,f1648]) ).
fof(f1648,plain,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f4443,plain,
( ! [X40,X2,X34] :
( c_Zorn_Osucc(X40,X34,X2) != X34
| ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) )
| ~ spl0_539 ),
inference(avatar_component_clause,[],[f4442]) ).
fof(f4499,plain,
spl0_544,
inference(avatar_split_clause,[],[f271,f4497]) ).
fof(f271,axiom,
! [X2,X6,X14,X5,X13] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Pair(c_Main_OImageE__1(X13,X6,X14,X5,X2),X6,X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f4495,plain,
spl0_543,
inference(avatar_split_clause,[],[f213,f4493]) ).
fof(f213,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__1(X13,X15,X34,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f4491,plain,
spl0_542,
inference(avatar_split_clause,[],[f212,f4489]) ).
fof(f212,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__2(X13,X15,X34,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f4487,plain,
spl0_541,
inference(avatar_split_clause,[],[f130,f4485]) ).
fof(f130,axiom,
! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff2_0) ).
fof(f4483,plain,
spl0_540,
inference(avatar_split_clause,[],[f129,f4481]) ).
fof(f4481,plain,
( spl0_540
<=> ! [X6,X4,X14,X5,X2] :
( c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f129,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff1_0) ).
fof(f4444,plain,
spl0_539,
inference(avatar_split_clause,[],[f1363,f4442]) ).
fof(f1363,axiom,
! [X40,X2,X34] :
( c_Zorn_Osucc(X40,X34,X2) != X34
| ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
fof(f4440,plain,
spl0_538,
inference(avatar_split_clause,[],[f1361,f4438]) ).
fof(f4438,plain,
( spl0_538
<=> ! [X2,X12,X40] :
( c_Zorn_Osucc(X40,X12,X2) != X12
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1361,axiom,
! [X40,X2,X12] :
( c_Zorn_Osucc(X40,X12,X2) != X12
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_0) ).
fof(f4436,plain,
spl0_537,
inference(avatar_split_clause,[],[f319,f4434]) ).
fof(f319,axiom,
! [X2,X6,X14,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),X14,tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f4432,plain,
spl0_536,
inference(avatar_split_clause,[],[f272,f4430]) ).
fof(f272,axiom,
! [X2,X6,X14,X4,X5,X13] :
( ~ c_in(X4,X13,X2)
| c_in(X6,c_Relation_OImage(X14,X13,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4367,plain,
( spl0_535
| ~ spl0_67
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4210,f4136,f1688,f4365]) ).
fof(f4365,plain,
( spl0_535
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f4210,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2)
| ~ spl0_67
| ~ spl0_508 ),
inference(resolution,[],[f4137,f1689]) ).
fof(f4350,plain,
spl0_534,
inference(avatar_split_clause,[],[f277,f4348]) ).
fof(f4348,plain,
( spl0_534
<=> ! [X13,X2,X34] :
( ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2))
| c_Pair(c_Main_OdiagE__1(X13,X34,X2),c_Main_OdiagE__1(X13,X34,X2),X2,X2) = X34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f277,axiom,
! [X2,X34,X13] :
( ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2))
| c_Pair(c_Main_OdiagE__1(X13,X34,X2),c_Main_OdiagE__1(X13,X34,X2),X2,X2) = X34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4346,plain,
spl0_533,
inference(avatar_split_clause,[],[f273,f4344]) ).
fof(f273,axiom,
! [X2,X6,X14,X5] :
( ~ c_in(X6,c_Relation_ORange(X14,X5,X2),X2)
| c_in(c_Pair(c_Main_ORangeE__1(X6,X14,X2,X5),X6,X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4342,plain,
spl0_532,
inference(avatar_split_clause,[],[f267,f4340]) ).
fof(f267,axiom,
! [X2,X14,X4,X5] :
( ~ c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X14,X2,X5),X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4338,plain,
spl0_531,
inference(avatar_split_clause,[],[f258,f4336]) ).
fof(f4336,plain,
( spl0_531
<=> ! [X42,X4,X13,X2] :
( ~ c_in(X4,X13,X2)
| ~ c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_List_Olist_OCons(X4,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f258,axiom,
! [X2,X4,X42,X13] :
( ~ c_in(X4,X13,X2)
| ~ c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_List_Olist_OCons(X4,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4334,plain,
spl0_530,
inference(avatar_split_clause,[],[f220,f4332]) ).
fof(f4332,plain,
( spl0_530
<=> ! [X15,X13,X8,X5,X2] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f220,axiom,
! [X2,X8,X15,X5,X13] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4330,plain,
spl0_529,
inference(avatar_split_clause,[],[f219,f4328]) ).
fof(f4328,plain,
( spl0_529
<=> ! [X15,X13,X5,X2,X7] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f219,axiom,
! [X2,X7,X15,X5,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4326,plain,
( spl0_528
| ~ spl0_380
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f4200,f4136,f3295,f4324]) ).
fof(f4200,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_380
| ~ spl0_508 ),
inference(resolution,[],[f4137,f3296]) ).
fof(f4322,plain,
spl0_527,
inference(avatar_split_clause,[],[f128,f4320]) ).
fof(f4320,plain,
( spl0_527
<=> ! [X5,X4,X14,X6,X2] :
( ~ c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f128,axiom,
! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4318,plain,
spl0_526,
inference(avatar_split_clause,[],[f127,f4316]) ).
fof(f4316,plain,
( spl0_526
<=> ! [X5,X4,X14,X6,X2] :
( c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f127,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4314,plain,
spl0_525,
inference(avatar_split_clause,[],[f32,f4312]) ).
fof(f4312,plain,
( spl0_525
<=> ! [X15,X4,X13,X2] :
( ~ c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f32,axiom,
! [X2,X4,X15,X13] :
( ~ c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4310,plain,
spl0_524,
inference(avatar_split_clause,[],[f31,f4308]) ).
fof(f4308,plain,
( spl0_524
<=> ! [X15,X4,X13,X2] :
( c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f31,axiom,
! [X2,X4,X15,X13] :
( c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4282,plain,
spl0_523,
inference(avatar_split_clause,[],[f1359,f4280]) ).
fof(f1359,axiom,
! [X40,X2,X54] :
( ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f4278,plain,
spl0_522,
inference(avatar_split_clause,[],[f231,f4276]) ).
fof(f4276,plain,
( spl0_522
<=> ! [X13,X2] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(X13,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f231,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(X13,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4274,plain,
spl0_521,
inference(avatar_split_clause,[],[f230,f4272]) ).
fof(f4272,plain,
( spl0_521
<=> ! [X13,X2] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(X13,X2),X13,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f230,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(X13,X2),X13,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4270,plain,
( spl0_520
| ~ spl0_67
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4185,f4124,f1688,f4268]) ).
fof(f4268,plain,
( spl0_520
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f4185,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1)
| ~ spl0_67
| ~ spl0_505 ),
inference(resolution,[],[f4125,f1689]) ).
fof(f4262,plain,
spl0_519,
inference(avatar_split_clause,[],[f1358,f4260]) ).
fof(f1358,axiom,
! [X40,X2,X0] :
( ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f4258,plain,
spl0_518,
inference(avatar_split_clause,[],[f255,f4256]) ).
fof(f4256,plain,
( spl0_518
<=> ! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f255,axiom,
! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4254,plain,
spl0_517,
inference(avatar_split_clause,[],[f254,f4252]) ).
fof(f4252,plain,
( spl0_517
<=> ! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(c_List_Olist_ONil,X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f254,axiom,
! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(c_List_Olist_ONil,X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4250,plain,
spl0_516,
inference(avatar_split_clause,[],[f83,f4248]) ).
fof(f4248,plain,
( spl0_516
<=> ! [X2,X21,X23,X22] :
( c_List_Orev(X21,X2) != c_List_Olist_OCons(X23,X22,X2)
| c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) = X21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f83,axiom,
! [X2,X21,X22,X23] :
( c_List_Orev(X21,X2) != c_List_Olist_OCons(X23,X22,X2)
| c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4240,plain,
( spl0_515
| ~ spl0_380
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4175,f4124,f3295,f4238]) ).
fof(f4175,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_380
| ~ spl0_505 ),
inference(resolution,[],[f4125,f3296]) ).
fof(f4231,plain,
spl0_514,
inference(avatar_split_clause,[],[f59,f4229]) ).
fof(f59,axiom,
! [X2,X21,X0,X22,X23] :
( X0 = X23
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4227,plain,
spl0_513,
inference(avatar_split_clause,[],[f58,f4225]) ).
fof(f58,axiom,
! [X2,X21,X0,X22,X23] :
( X21 = X22
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4223,plain,
spl0_512,
inference(avatar_split_clause,[],[f37,f4221]) ).
fof(f4221,plain,
( spl0_512
<=> ! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f37,axiom,
! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4174,plain,
( spl0_511
| ~ spl0_429
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f3918,f3831,f3539,f4172]) ).
fof(f3831,plain,
( spl0_464
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f3918,plain,
( ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1))
| ~ spl0_429
| ~ spl0_464 ),
inference(resolution,[],[f3832,f3540]) ).
fof(f3832,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_464 ),
inference(avatar_component_clause,[],[f3831]) ).
fof(f4149,plain,
spl0_510,
inference(avatar_split_clause,[],[f312,f4147]) ).
fof(f4147,plain,
( spl0_510
<=> ! [X5,X15,X13,X6,X2] :
( ~ c_in(X6,X15,X2)
| c_in(c_Sum__Type_OInr(X6,X2,X5),c_Sum__Type_OPlus(X13,X15,X5,X2),tc_sum(X5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f312,axiom,
! [X2,X6,X15,X5,X13] :
( ~ c_in(X6,X15,X2)
| c_in(c_Sum__Type_OInr(X6,X2,X5),c_Sum__Type_OPlus(X13,X15,X5,X2),tc_sum(X5,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4142,plain,
spl0_509,
inference(avatar_split_clause,[],[f311,f4140]) ).
fof(f4140,plain,
( spl0_509
<=> ! [X15,X4,X13,X5,X2] :
( ~ c_in(X4,X13,X2)
| c_in(c_Sum__Type_OInl(X4,X2,X5),c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f311,axiom,
! [X2,X4,X15,X5,X13] :
( ~ c_in(X4,X13,X2)
| c_in(c_Sum__Type_OInl(X4,X2,X5),c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4138,plain,
spl0_508,
inference(avatar_split_clause,[],[f274,f4136]) ).
fof(f274,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(X6,c_Relation_ORange(X14,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4134,plain,
spl0_507,
inference(avatar_split_clause,[],[f270,f4132]) ).
fof(f4132,plain,
( spl0_507
<=> ! [X6,X13,X14,X5,X2] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Main_OImageE__1(X13,X6,X14,X5,X2),X13,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f270,axiom,
! [X2,X6,X14,X5,X13] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Main_OImageE__1(X13,X6,X14,X5,X2),X13,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4130,plain,
spl0_506,
inference(avatar_split_clause,[],[f269,f4128]) ).
fof(f4128,plain,
( spl0_506
<=> ! [X2,X43] :
( ~ c_in(X43,c_Relation_OId,tc_prod(X2,X2))
| c_Pair(c_Main_OIdE__1(X43,X2),c_Main_OIdE__1(X43,X2),X2,X2) = X43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f269,axiom,
! [X2,X43] :
( ~ c_in(X43,c_Relation_OId,tc_prod(X2,X2))
| c_Pair(c_Main_OIdE__1(X43,X2),c_Main_OIdE__1(X43,X2),X2,X2) = X43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4126,plain,
spl0_505,
inference(avatar_split_clause,[],[f268,f4124]) ).
fof(f268,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4122,plain,
spl0_504,
inference(avatar_split_clause,[],[f256,f4120]) ).
fof(f4120,plain,
( spl0_504
<=> ! [X13,X2,X0,X42] :
( c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f256,axiom,
! [X2,X0,X42,X13] :
( c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4118,plain,
spl0_503,
inference(avatar_split_clause,[],[f244,f4116]) ).
fof(f4116,plain,
( spl0_503
<=> ! [X41,X13,X21,X2] :
( c_in(X41,X13,X2)
| ~ c_in(X41,c_List_Oset(X21,X2),X2)
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f244,axiom,
! [X2,X21,X41,X13] :
( c_in(X41,X13,X2)
| ~ c_in(X41,c_List_Oset(X21,X2),X2)
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4114,plain,
spl0_502,
inference(avatar_split_clause,[],[f184,f4112]) ).
fof(f184,axiom,
! [X2,X0,X13] :
( ~ c_lessequals(X13,c_insert(X0,c_emptyset,X2),tc_set(X2))
| c_insert(X0,c_emptyset,X2) = c_insert(X0,X13,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
fof(f4110,plain,
spl0_501,
inference(avatar_split_clause,[],[f180,f4108]) ).
fof(f4108,plain,
( spl0_501
<=> ! [X6,X2,X4,X13] :
( c_lessequals(X13,c_insert(X6,c_emptyset,X2),tc_set(X2))
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f180,axiom,
! [X2,X6,X4,X13] :
( c_lessequals(X13,c_insert(X6,c_emptyset,X2),tc_set(X2))
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
fof(f4106,plain,
spl0_500,
inference(avatar_split_clause,[],[f61,f4104]) ).
fof(f4104,plain,
( spl0_500
<=> ! [X13,X2,X22,X21] :
( c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f61,axiom,
! [X2,X21,X22,X13] :
( c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4102,plain,
( spl0_499
| ~ spl0_67
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3794,f3759,f1688,f4100]) ).
fof(f4100,plain,
( spl0_499
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f3794,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_67
| ~ spl0_458 ),
inference(resolution,[],[f3760,f1689]) ).
fof(f4098,plain,
spl0_498,
inference(avatar_split_clause,[],[f60,f4096]) ).
fof(f4096,plain,
( spl0_498
<=> ! [X13,X21,X22,X2] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f60,axiom,
! [X2,X21,X22,X13] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4094,plain,
spl0_497,
inference(avatar_split_clause,[],[f42,f4092]) ).
fof(f42,axiom,
! [X18,X9,X12] :
( ~ c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,X12,tc_nat)
| c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4090,plain,
spl0_496,
inference(avatar_split_clause,[],[f39,f4088]) ).
fof(f4088,plain,
( spl0_496
<=> ! [X2,X5,X14] :
( ~ c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f39,axiom,
! [X2,X14,X5] :
( ~ c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4086,plain,
spl0_495,
inference(avatar_split_clause,[],[f38,f4084]) ).
fof(f4084,plain,
( spl0_495
<=> ! [X2,X5,X14] :
( c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| ~ c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f38,axiom,
! [X2,X14,X5] :
( c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| ~ c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4045,plain,
spl0_494,
inference(avatar_split_clause,[],[f1360,f4043]) ).
fof(f1360,axiom,
! [X40,X2,X34] :
( ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f4041,plain,
spl0_493,
inference(avatar_split_clause,[],[f279,f4039]) ).
fof(f279,axiom,
! [X2,X4,X13] :
( ~ c_in(X4,X13,X2)
| c_in(c_Pair(X4,X4,X2,X2),c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4037,plain,
spl0_492,
inference(avatar_split_clause,[],[f245,f4035]) ).
fof(f245,axiom,
! [X2,X21,X13] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(X13,X21,X2),c_List_Oset(X21,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4033,plain,
spl0_491,
inference(avatar_split_clause,[],[f159,f4031]) ).
fof(f159,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4029,plain,
spl0_490,
inference(avatar_split_clause,[],[f156,f4027]) ).
fof(f156,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4025,plain,
spl0_489,
inference(avatar_split_clause,[],[f155,f4023]) ).
fof(f4023,plain,
( spl0_489
<=> ! [X13,X2,X15] :
( c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f155,axiom,
! [X2,X15,X13] :
( c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4021,plain,
( spl0_488
| ~ spl0_292
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f3933,f3855,f2896,f4019]) ).
fof(f4019,plain,
( spl0_488
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f3855,plain,
( spl0_470
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f3933,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_292
| ~ spl0_470 ),
inference(resolution,[],[f3856,f2897]) ).
fof(f3856,plain,
( ! [X2,X0,X23] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2))
| c_lessequals(X23,X0,X2)
| ~ class_Orderings_Olinorder(X2) )
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f3855]) ).
fof(f4017,plain,
spl0_487,
inference(avatar_split_clause,[],[f84,f4015]) ).
fof(f84,axiom,
! [X2,X22,X23] : c_List_Olist_OCons(X23,X22,X2) = c_List_Orev(c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4013,plain,
spl0_486,
inference(avatar_split_clause,[],[f77,f4011]) ).
fof(f4011,plain,
( spl0_486
<=> ! [X2,X21] :
( c_List_Oremdups(X21,X2) = X21
| c_Nat_Osize(X21,tc_List_Olist(X2)) != c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f77,axiom,
! [X2,X21] :
( c_List_Oremdups(X21,X2) = X21
| c_Nat_Osize(X21,tc_List_Olist(X2)) != c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4009,plain,
spl0_485,
inference(avatar_split_clause,[],[f57,f4007]) ).
fof(f57,axiom,
! [X2,X14,X22] : ~ c_in(c_Pair(c_List_Olist_ONil,X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4005,plain,
spl0_484,
inference(avatar_split_clause,[],[f51,f4003]) ).
fof(f51,axiom,
! [X2,X21,X14] : ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f3909,plain,
spl0_483,
inference(avatar_split_clause,[],[f325,f3907]) ).
fof(f3907,plain,
( spl0_483
<=> ! [X49,X50,X5,X2] :
( ~ c_Wellfounded__Recursion_Owf(X49,X5)
| ~ c_Wellfounded__Recursion_Owf(X50,X2)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X50,X49,X2,X5),tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f325,axiom,
! [X50,X2,X49,X5] :
( ~ c_Wellfounded__Recursion_Owf(X49,X5)
| ~ c_Wellfounded__Recursion_Owf(X50,X2)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X50,X49,X2,X5),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f3905,plain,
spl0_482,
inference(avatar_split_clause,[],[f323,f3903]) ).
fof(f3903,plain,
( spl0_482
<=> ! [X48,X47,X5,X2] :
( ~ c_Relation_Otrans(X47,X5)
| ~ c_Relation_Otrans(X48,X2)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X48,X47,X2,X5),tc_prod(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f323,axiom,
! [X2,X48,X47,X5] :
( ~ c_Relation_Otrans(X47,X5)
| ~ c_Relation_Otrans(X48,X2)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X48,X47,X2,X5),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f3901,plain,
spl0_481,
inference(avatar_split_clause,[],[f278,f3899]) ).
fof(f278,axiom,
! [X2,X34,X13] :
( c_in(c_Main_OdiagE__1(X13,X34,X2),X13,X2)
| ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f3897,plain,
spl0_480,
inference(avatar_split_clause,[],[f194,f3895]) ).
fof(f3895,plain,
( spl0_480
<=> ! [X2,X0,X23,X14] :
( c_Wellfounded__Recursion_Owf(X14,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f194,axiom,
! [X2,X0,X14,X23] :
( c_Wellfounded__Recursion_Owf(X14,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f3893,plain,
spl0_479,
inference(avatar_split_clause,[],[f191,f3891]) ).
fof(f3891,plain,
( spl0_479
<=> ! [X2,X0,X23,X14] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f191,axiom,
! [X2,X0,X14,X23] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f3889,plain,
spl0_478,
inference(avatar_split_clause,[],[f173,f3887]) ).
fof(f173,axiom,
! [X2,X36,X35,X13] :
( ~ c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f3885,plain,
spl0_477,
inference(avatar_split_clause,[],[f169,f3883]) ).
fof(f3883,plain,
( spl0_477
<=> ! [X15,X34,X13,X2] :
( c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_in(X34,c_union(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f169,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f3881,plain,
spl0_476,
inference(avatar_split_clause,[],[f163,f3879]) ).
fof(f163,axiom,
! [X2,X36,X35,X13] :
( c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| ~ c_in(X13,c_Inter(X36,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f3877,plain,
( spl0_475
| ~ spl0_61
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f3815,f3771,f1664,f3875]) ).
fof(f3815,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_61
| ~ spl0_461 ),
inference(resolution,[],[f3772,f1665]) ).
fof(f3873,plain,
spl0_474,
inference(avatar_split_clause,[],[f162,f3871]) ).
fof(f3871,plain,
( spl0_474
<=> ! [X15,X34,X13,X2] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2)
| c_in(X34,c_inter(X13,X15,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f162,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2)
| c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f3869,plain,
spl0_473,
inference(avatar_split_clause,[],[f151,f3867]) ).
fof(f151,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f3865,plain,
spl0_472,
inference(avatar_split_clause,[],[f150,f3863]) ).
fof(f3863,plain,
( spl0_472
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f150,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f3861,plain,
spl0_471,
inference(avatar_split_clause,[],[f146,f3859]) ).
fof(f146,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f3857,plain,
spl0_470,
inference(avatar_split_clause,[],[f145,f3855]) ).
fof(f145,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f3853,plain,
spl0_469,
inference(avatar_split_clause,[],[f141,f3851]) ).
fof(f141,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f3849,plain,
spl0_468,
inference(avatar_split_clause,[],[f140,f3847]) ).
fof(f3847,plain,
( spl0_468
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f140,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f3845,plain,
spl0_467,
inference(avatar_split_clause,[],[f136,f3843]) ).
fof(f136,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f3841,plain,
spl0_466,
inference(avatar_split_clause,[],[f135,f3839]) ).
fof(f3839,plain,
( spl0_466
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f135,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f3837,plain,
spl0_465,
inference(avatar_split_clause,[],[f104,f3835]) ).
fof(f104,axiom,
! [X18,X12] :
( c_less(c_0,X12,tc_nat)
| c_less(c_0,X18,tc_nat)
| ~ c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f3833,plain,
( spl0_464
| ~ spl0_61
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f3801,f3767,f1664,f3831]) ).
fof(f3801,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_61
| ~ spl0_460 ),
inference(resolution,[],[f3768,f1665]) ).
fof(f3785,plain,
( spl0_463
| ~ spl0_291
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f3706,f3684,f2892,f3783]) ).
fof(f3783,plain,
( spl0_463
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f3684,plain,
( spl0_445
<=> ! [X13,X2,X15] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| c_less(X13,X15,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f3706,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_291
| ~ spl0_445 ),
inference(resolution,[],[f3685,f2893]) ).
fof(f3685,plain,
( ! [X2,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15
| c_less(X13,X15,tc_set(X2)) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f3777,plain,
spl0_462,
inference(avatar_split_clause,[],[f317,f3775]) ).
fof(f3775,plain,
( spl0_462
<=> ! [X2,X43,X14] :
( ~ c_in(X43,X14,tc_prod(X2,X2))
| c_in(X43,c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f317,axiom,
! [X2,X14,X43] :
( ~ c_in(X43,X14,tc_prod(X2,X2))
| c_in(X43,c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3773,plain,
spl0_461,
inference(avatar_split_clause,[],[f297,f3771]) ).
fof(f297,axiom,
! [X2,X36,X13] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3769,plain,
spl0_460,
inference(avatar_split_clause,[],[f294,f3767]) ).
fof(f294,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Inter(X36,X2),X2)
| c_in(c_Main_OInterI__1(X13,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3765,plain,
spl0_459,
inference(avatar_split_clause,[],[f257,f3763]) ).
fof(f3763,plain,
( spl0_459
<=> ! [X42,X13,X0,X2] :
( c_in(X0,X13,X2)
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f257,axiom,
! [X2,X0,X42,X13] :
( c_in(X0,X13,X2)
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3761,plain,
spl0_458,
inference(avatar_split_clause,[],[f246,f3759]) ).
fof(f246,axiom,
! [X2,X21,X13] :
( ~ c_in(c_Main_Oin__listsI__1(X13,X21,X2),X13,X2)
| c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3757,plain,
spl0_457,
inference(avatar_split_clause,[],[f241,f3755]) ).
fof(f3755,plain,
( spl0_457
<=> ! [X12,X39] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_IntDef_Oint)
| c_times(X39,c_Main_Ozmod__eq__0D__dest__1(X39,X12),tc_IntDef_Oint) = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f241,axiom,
! [X39,X12] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_IntDef_Oint)
| c_times(X39,c_Main_Ozmod__eq__0D__dest__1(X39,X12),tc_IntDef_Oint) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3753,plain,
spl0_456,
inference(avatar_split_clause,[],[f225,f3751]) ).
fof(f3751,plain,
( spl0_456
<=> ! [X12,X39] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_nat)
| c_times(X39,c_Main_Omod__eq__0D__dest__1(X39,X12),tc_nat) = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f225,axiom,
! [X39,X12] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_nat)
| c_times(X39,c_Main_Omod__eq__0D__dest__1(X39,X12),tc_nat) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3749,plain,
spl0_455,
inference(avatar_split_clause,[],[f198,f3747]) ).
fof(f198,axiom,
! [X0,X23] :
( ~ c_less(X0,X23,tc_nat)
| c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f3745,plain,
spl0_454,
inference(avatar_split_clause,[],[f197,f3743]) ).
fof(f197,axiom,
! [X0,X23] :
( c_less(X0,X23,tc_nat)
| ~ c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f3741,plain,
spl0_453,
inference(avatar_split_clause,[],[f177,f3739]) ).
fof(f3739,plain,
( spl0_453
<=> ! [X4,X13,X6,X2] :
( X4 = X6
| c_in(X4,X13,X2)
| ~ c_in(X4,c_insert(X6,X13,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f177,axiom,
! [X2,X6,X4,X13] :
( X4 = X6
| c_in(X4,X13,X2)
| ~ c_in(X4,c_insert(X6,X13,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3737,plain,
spl0_452,
inference(avatar_split_clause,[],[f125,f3735]) ).
fof(f3735,plain,
( spl0_452
<=> ! [X5,X3,X33,X4,X6,X2] :
( X6 = X33
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f125,axiom,
! [X2,X3,X6,X4,X5,X33] :
( X6 = X33
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3733,plain,
spl0_451,
inference(avatar_split_clause,[],[f124,f3731]) ).
fof(f3731,plain,
( spl0_451
<=> ! [X3,X4,X6,X5,X33,X2] :
( X3 = X4
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f124,axiom,
! [X2,X3,X6,X4,X5,X33] :
( X3 = X4
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3729,plain,
spl0_450,
inference(avatar_split_clause,[],[f19,f3727]) ).
fof(f3727,plain,
( spl0_450
<=> ! [X10,X11,X8,X5,X2,X7] :
( X8 = X11
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f19,axiom,
! [X2,X10,X11,X8,X7,X5] :
( X8 = X11
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3725,plain,
spl0_449,
inference(avatar_split_clause,[],[f18,f3723]) ).
fof(f3723,plain,
( spl0_449
<=> ! [X10,X11,X7,X8,X5,X2] :
( X7 = X10
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f18,axiom,
! [X2,X10,X11,X8,X7,X5] :
( X7 = X10
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3713,plain,
( spl0_448
| ~ spl0_381
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f3697,f3664,f3299,f3711]) ).
fof(f3711,plain,
( spl0_448
<=> ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f3664,plain,
( spl0_440
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f3697,plain,
( ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1))
| ~ spl0_381
| ~ spl0_440 ),
inference(resolution,[],[f3665,f3300]) ).
fof(f3665,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f3664]) ).
fof(f3694,plain,
spl0_447,
inference(avatar_split_clause,[],[f309,f3692]) ).
fof(f309,axiom,
! [X2,X15,X13] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3690,plain,
spl0_446,
inference(avatar_split_clause,[],[f306,f3688]) ).
fof(f306,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3686,plain,
spl0_445,
inference(avatar_split_clause,[],[f302,f3684]) ).
fof(f302,axiom,
! [X2,X15,X13] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| c_less(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3682,plain,
spl0_444,
inference(avatar_split_clause,[],[f298,f3680]) ).
fof(f3680,plain,
( spl0_444
<=> ! [X13,X2,X36] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f298,axiom,
! [X2,X36,X13] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3678,plain,
spl0_443,
inference(avatar_split_clause,[],[f295,f3676]) ).
fof(f3676,plain,
( spl0_443
<=> ! [X13,X2,X36] :
( c_in(X13,c_Inter(X36,X2),X2)
| ~ c_in(X13,c_Main_OInterI__1(X13,X36,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f295,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Inter(X36,X2),X2)
| ~ c_in(X13,c_Main_OInterI__1(X13,X36,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3674,plain,
spl0_442,
inference(avatar_split_clause,[],[f229,f3672]) ).
fof(f229,axiom,
! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3670,plain,
spl0_441,
inference(avatar_split_clause,[],[f228,f3668]) ).
fof(f228,axiom,
! [X2,X16,X17] :
( ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3666,plain,
( spl0_440
| ~ spl0_67
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3624,f3539,f1688,f3664]) ).
fof(f3624,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_67
| ~ spl0_429 ),
inference(resolution,[],[f3540,f1689]) ).
fof(f3662,plain,
spl0_439,
inference(avatar_split_clause,[],[f227,f3660]) ).
fof(f227,axiom,
! [X2,X4,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_insert(X4,X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3658,plain,
spl0_438,
inference(avatar_split_clause,[],[f131,f3656]) ).
fof(f131,axiom,
! [X2,X6,X4] :
( X4 = X6
| ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3654,plain,
spl0_437,
inference(avatar_split_clause,[],[f41,f3652]) ).
fof(f41,axiom,
! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3650,plain,
spl0_436,
inference(avatar_split_clause,[],[f40,f3648]) ).
fof(f40,axiom,
! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,X12,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3646,plain,
spl0_435,
inference(avatar_split_clause,[],[f36,f3644]) ).
fof(f3644,plain,
( spl0_435
<=> ! [X2,X16,X17] :
( c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f36,axiom,
! [X2,X16,X17] :
( c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3642,plain,
spl0_434,
inference(avatar_split_clause,[],[f35,f3640]) ).
fof(f3640,plain,
( spl0_434
<=> ! [X2,X16,X17] :
( c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f35,axiom,
! [X2,X16,X17] :
( c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3638,plain,
spl0_433,
inference(avatar_split_clause,[],[f34,f3636]) ).
fof(f34,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3634,plain,
spl0_432,
inference(avatar_split_clause,[],[f33,f3632]) ).
fof(f3632,plain,
( spl0_432
<=> ! [X13,X2] :
( c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f33,axiom,
! [X2,X13] :
( c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3551,plain,
( spl0_431
| ~ spl0_63
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f3504,f3337,f1672,f3548]) ).
fof(f3548,plain,
( spl0_431
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f1672,plain,
( spl0_63
<=> ! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f3337,plain,
( spl0_384
<=> ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f3504,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_63
| ~ spl0_384 ),
inference(resolution,[],[f3338,f1673]) ).
fof(f1673,plain,
( ! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f3338,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f3337]) ).
fof(f3545,plain,
spl0_430,
inference(avatar_split_clause,[],[f318,f3543]) ).
fof(f318,axiom,
! [X2,X14,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3541,plain,
spl0_429,
inference(avatar_split_clause,[],[f308,f3539]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3537,plain,
spl0_428,
inference(avatar_split_clause,[],[f307,f3535]) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3533,plain,
spl0_427,
inference(avatar_split_clause,[],[f247,f3531]) ).
fof(f247,axiom,
! [X2,X21] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)),c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3529,plain,
spl0_426,
inference(avatar_split_clause,[],[f200,f3527]) ).
fof(f3527,plain,
( spl0_426
<=> ! [X23,X0,X5,X2] :
( X0 = X23
| c_Datatype__Universe_ONumb(X0,X2,X5) != c_Datatype__Universe_ONumb(X23,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f200,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Datatype__Universe_ONumb(X0,X2,X5) != c_Datatype__Universe_ONumb(X23,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3525,plain,
spl0_425,
inference(avatar_split_clause,[],[f199,f3523]) ).
fof(f3523,plain,
( spl0_425
<=> ! [X23,X0,X5,X2] :
( X0 = X23
| c_Datatype__Universe_OLeaf(X0,X2,X5) != c_Datatype__Universe_OLeaf(X23,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f199,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Datatype__Universe_OLeaf(X0,X2,X5) != c_Datatype__Universe_OLeaf(X23,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3521,plain,
spl0_424,
inference(avatar_split_clause,[],[f187,f3519]) ).
fof(f3519,plain,
( spl0_424
<=> ! [X23,X0,X5,X2] :
( X0 = X23
| c_Sum__Type_OInr(X0,X5,X2) != c_Sum__Type_OInr(X23,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f187,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Sum__Type_OInr(X0,X5,X2) != c_Sum__Type_OInr(X23,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3517,plain,
spl0_423,
inference(avatar_split_clause,[],[f185,f3515]) ).
fof(f3515,plain,
( spl0_423
<=> ! [X23,X0,X5,X2] :
( X0 = X23
| c_Sum__Type_OInl(X0,X2,X5) != c_Sum__Type_OInl(X23,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f185,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Sum__Type_OInl(X0,X2,X5) != c_Sum__Type_OInl(X23,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3513,plain,
spl0_422,
inference(avatar_split_clause,[],[f179,f3511]) ).
fof(f3511,plain,
( spl0_422
<=> ! [X4,X13,X6,X2] :
( X4 = X6
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f179,axiom,
! [X2,X6,X4,X13] :
( X4 = X6
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f3503,plain,
spl0_421,
inference(avatar_split_clause,[],[f165,f3501]) ).
fof(f165,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X13,c_Pow(X15,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3499,plain,
spl0_420,
inference(avatar_split_clause,[],[f164,f3497]) ).
fof(f164,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(X13,c_Pow(X15,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3495,plain,
spl0_419,
inference(avatar_split_clause,[],[f158,f3493]) ).
fof(f158,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3491,plain,
spl0_418,
inference(avatar_split_clause,[],[f157,f3489]) ).
fof(f157,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3487,plain,
spl0_417,
inference(avatar_split_clause,[],[f154,f3485]) ).
fof(f3485,plain,
( spl0_417
<=> ! [X13,X2,X15] :
( X13 = X15
| c_uminus(X13,tc_set(X2)) != c_uminus(X15,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f154,axiom,
! [X2,X15,X13] :
( X13 = X15
| c_uminus(X13,tc_set(X2)) != c_uminus(X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3483,plain,
spl0_416,
inference(avatar_split_clause,[],[f149,f3481]) ).
fof(f149,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X31,X9,X2)
| c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3479,plain,
spl0_415,
inference(avatar_split_clause,[],[f148,f3477]) ).
fof(f148,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_less(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3475,plain,
spl0_414,
inference(avatar_split_clause,[],[f147,f3473]) ).
fof(f3473,plain,
( spl0_414
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X23,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f147,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X23,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3471,plain,
spl0_413,
inference(avatar_split_clause,[],[f144,f3469]) ).
fof(f144,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X9,X31,X2)
| c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3467,plain,
spl0_412,
inference(avatar_split_clause,[],[f143,f3465]) ).
fof(f143,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_less(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3463,plain,
( spl0_411
| ~ spl0_315
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f3324,f3255,f2989,f3461]) ).
fof(f3461,plain,
( spl0_411
<=> ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f2989,plain,
( spl0_315
<=> ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3324,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315
| ~ spl0_370 ),
inference(resolution,[],[f3256,f2990]) ).
fof(f2990,plain,
( ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f2989]) ).
fof(f3459,plain,
spl0_410,
inference(avatar_split_clause,[],[f142,f3457]) ).
fof(f3457,plain,
( spl0_410
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X23,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f142,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X23,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3455,plain,
spl0_409,
inference(avatar_split_clause,[],[f139,f3453]) ).
fof(f139,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X31,X9,X2)
| c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3451,plain,
spl0_408,
inference(avatar_split_clause,[],[f138,f3449]) ).
fof(f138,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3447,plain,
spl0_407,
inference(avatar_split_clause,[],[f137,f3445]) ).
fof(f3445,plain,
( spl0_407
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X23,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f137,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X23,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3443,plain,
spl0_406,
inference(avatar_split_clause,[],[f134,f3441]) ).
fof(f134,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X9,X31,X2)
| c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3439,plain,
spl0_405,
inference(avatar_split_clause,[],[f133,f3437]) ).
fof(f133,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3435,plain,
spl0_404,
inference(avatar_split_clause,[],[f132,f3433]) ).
fof(f3433,plain,
( spl0_404
<=> ! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X23,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f132,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X23,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3431,plain,
spl0_403,
inference(avatar_split_clause,[],[f88,f3429]) ).
fof(f88,axiom,
! [X2,X21,X24,X22] :
( X22 = X24
| c_append(X21,X22,X2) != c_append(X21,X24,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3427,plain,
spl0_402,
inference(avatar_split_clause,[],[f82,f3425]) ).
fof(f3425,plain,
( spl0_402
<=> ! [X3,X4,X29,X2,X30] :
( X29 = X30
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f82,axiom,
! [X2,X3,X29,X4,X30] :
( X29 = X30
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3423,plain,
spl0_401,
inference(avatar_split_clause,[],[f81,f3421]) ).
fof(f3421,plain,
( spl0_401
<=> ! [X3,X4,X29,X30,X2] :
( X3 = X4
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f81,axiom,
! [X2,X3,X29,X4,X30] :
( X3 = X4
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3419,plain,
( spl0_400
| ~ spl0_314
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f3323,f3255,f2985,f3417]) ).
fof(f3417,plain,
( spl0_400
<=> ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f2985,plain,
( spl0_314
<=> ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3323,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_314
| ~ spl0_370 ),
inference(resolution,[],[f3256,f2986]) ).
fof(f2986,plain,
( ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f2985]) ).
fof(f3415,plain,
spl0_399,
inference(avatar_split_clause,[],[f66,f3413]) ).
fof(f66,axiom,
! [X2,X21,X24,X22] :
( X22 = X24
| c_append(X22,X21,X2) != c_append(X24,X21,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3411,plain,
spl0_398,
inference(avatar_split_clause,[],[f12,f3409]) ).
fof(f3409,plain,
( spl0_398
<=> ! [X7,X8,X5,X2] :
( X7 = X8
| c_Datatype__Universe_OIn1(X8,X2,X5) != c_Datatype__Universe_OIn1(X7,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f12,axiom,
! [X2,X8,X7,X5] :
( X7 = X8
| c_Datatype__Universe_OIn1(X8,X2,X5) != c_Datatype__Universe_OIn1(X7,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3407,plain,
spl0_397,
inference(avatar_split_clause,[],[f10,f3405]) ).
fof(f3405,plain,
( spl0_397
<=> ! [X7,X8,X5,X2] :
( X7 = X8
| c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn0(X8,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f10,axiom,
! [X2,X8,X7,X5] :
( X7 = X8
| c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn0(X8,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3403,plain,
spl0_396,
inference(avatar_split_clause,[],[f8,f3401]) ).
fof(f3401,plain,
( spl0_396
<=> ! [X5,X4,X6,X2] :
( X4 = X6
| c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OAtom(X6,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f8,axiom,
! [X2,X6,X4,X5] :
( X4 = X6
| c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OAtom(X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3392,plain,
spl0_395,
inference(avatar_split_clause,[],[f175,f3390]) ).
fof(f175,axiom,
! [X2,X6,X4,X15] :
( ~ c_in(X4,X15,X2)
| c_in(X4,c_insert(X6,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3388,plain,
spl0_394,
inference(avatar_split_clause,[],[f168,f3386]) ).
fof(f168,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3384,plain,
spl0_393,
inference(avatar_split_clause,[],[f167,f3382]) ).
fof(f167,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3380,plain,
spl0_392,
inference(avatar_split_clause,[],[f161,f3378]) ).
fof(f161,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3376,plain,
spl0_391,
inference(avatar_split_clause,[],[f160,f3374]) ).
fof(f160,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X15,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3372,plain,
spl0_390,
inference(avatar_split_clause,[],[f153,f3370]) ).
fof(f153,axiom,
! [X2,X34,X13] :
( c_in(X34,X13,X2)
| c_in(X34,c_uminus(X13,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3368,plain,
( spl0_389
| ~ spl0_292
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f3346,f3299,f2896,f3366]) ).
fof(f3366,plain,
( spl0_389
<=> ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f3346,plain,
( ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1))
| ~ spl0_292
| ~ spl0_381 ),
inference(resolution,[],[f3300,f2897]) ).
fof(f3364,plain,
spl0_388,
inference(avatar_split_clause,[],[f152,f3362]) ).
fof(f152,axiom,
! [X2,X34,X13] :
( ~ c_in(X34,X13,X2)
| ~ c_in(X34,c_uminus(X13,tc_set(X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3360,plain,
spl0_387,
inference(avatar_split_clause,[],[f106,f3358]) ).
fof(f3358,plain,
( spl0_387
<=> ! [X18,X12] :
( ~ c_less(c_0,X18,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f106,axiom,
! [X18,X12] :
( ~ c_less(c_0,X18,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3356,plain,
spl0_386,
inference(avatar_split_clause,[],[f105,f3354]) ).
fof(f3354,plain,
( spl0_386
<=> ! [X18,X12] :
( ~ c_less(c_0,X12,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f105,axiom,
! [X18,X12] :
( ~ c_less(c_0,X12,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3352,plain,
spl0_385,
inference(avatar_split_clause,[],[f1,f3350]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X2) = X1
| ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3339,plain,
( spl0_384
| ~ spl0_305
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f3320,f3251,f2949,f3337]) ).
fof(f2949,plain,
( spl0_305
<=> ! [X12] :
( c_0 = X12
| ~ c_Divides_Oop_Advd(c_0,X12,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3320,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_305
| ~ spl0_369 ),
inference(resolution,[],[f3252,f2950]) ).
fof(f2950,plain,
( ! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_IntDef_Oint)
| c_0 = X12 )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f3309,plain,
spl0_383,
inference(avatar_split_clause,[],[f303,f3307]) ).
fof(f303,axiom,
! [X2,X6,X4] :
( X4 = X6
| ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3305,plain,
spl0_382,
inference(avatar_split_clause,[],[f301,f3303]) ).
fof(f3303,plain,
( spl0_382
<=> ! [X13,X2,X15] :
( ~ c_less(X13,X15,tc_set(X2))
| c_lessequals(X13,X15,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f301,axiom,
! [X2,X15,X13] :
( ~ c_less(X13,X15,tc_set(X2))
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3301,plain,
spl0_381,
inference(avatar_split_clause,[],[f300,f3299]) ).
fof(f300,axiom,
! [X2,X15,X13] :
( ~ c_less(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3297,plain,
spl0_380,
inference(avatar_split_clause,[],[f126,f3295]) ).
fof(f126,axiom,
! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3293,plain,
spl0_379,
inference(avatar_split_clause,[],[f101,f3291]) ).
fof(f3291,plain,
( spl0_379
<=> ! [X18,X12] :
( ~ c_less(X12,X18,tc_nat)
| c_less(c_Suc(X12),c_Suc(X18),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f101,axiom,
! [X18,X12] :
( ~ c_less(X12,X18,tc_nat)
| c_less(c_Suc(X12),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3289,plain,
spl0_378,
inference(avatar_split_clause,[],[f100,f3287]) ).
fof(f3287,plain,
( spl0_378
<=> ! [X18,X12] :
( c_less(X12,X18,tc_nat)
| ~ c_less(c_Suc(X12),c_Suc(X18),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f100,axiom,
! [X18,X12] :
( c_less(X12,X18,tc_nat)
| ~ c_less(c_Suc(X12),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3285,plain,
spl0_377,
inference(avatar_split_clause,[],[f99,f3283]) ).
fof(f3283,plain,
( spl0_377
<=> ! [X18,X12] :
( ~ c_lessequals(X18,X12,tc_nat)
| c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f99,axiom,
! [X18,X12] :
( ~ c_lessequals(X18,X12,tc_nat)
| c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3281,plain,
spl0_376,
inference(avatar_split_clause,[],[f98,f3279]) ).
fof(f3279,plain,
( spl0_376
<=> ! [X18,X12] :
( c_lessequals(X18,X12,tc_nat)
| ~ c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f98,axiom,
! [X18,X12] :
( c_lessequals(X18,X12,tc_nat)
| ~ c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3277,plain,
spl0_375,
inference(avatar_split_clause,[],[f87,f3275]) ).
fof(f3275,plain,
( spl0_375
<=> ! [X22,X2,X21] :
( X21 = X22
| c_List_Orev(X21,X2) != c_List_Orev(X22,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f87,axiom,
! [X2,X21,X22] :
( X21 = X22
| c_List_Orev(X21,X2) != c_List_Orev(X22,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3273,plain,
spl0_374,
inference(avatar_split_clause,[],[f76,f3271]) ).
fof(f3271,plain,
( spl0_374
<=> ! [X2,X21] :
( c_List_Olist_ONil = X21
| c_less(c_0,c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f76,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_less(c_0,c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3269,plain,
spl0_373,
inference(avatar_split_clause,[],[f72,f3267]) ).
fof(f3267,plain,
( spl0_373
<=> ! [X25,X27,X28,X26] :
( X26 = X28
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f72,axiom,
! [X28,X26,X27,X25] :
( X26 = X28
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3265,plain,
spl0_372,
inference(avatar_split_clause,[],[f71,f3263]) ).
fof(f3263,plain,
( spl0_372
<=> ! [X28,X27,X25,X26] :
( X25 = X27
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f71,axiom,
! [X28,X26,X27,X25] :
( X25 = X27
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3261,plain,
spl0_371,
inference(avatar_split_clause,[],[f50,f3259]) ).
fof(f50,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3257,plain,
spl0_370,
inference(avatar_split_clause,[],[f49,f3255]) ).
fof(f49,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3253,plain,
spl0_369,
inference(avatar_split_clause,[],[f46,f3251]) ).
fof(f46,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3249,plain,
spl0_368,
inference(avatar_split_clause,[],[f45,f3247]) ).
fof(f45,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3245,plain,
spl0_367,
inference(avatar_split_clause,[],[f22,f3243]) ).
fof(f3243,plain,
( spl0_367
<=> ! [X9,X7,X8,X5,X2] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f22,axiom,
! [X2,X8,X9,X7,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f3241,plain,
spl0_366,
inference(avatar_split_clause,[],[f21,f3239]) ).
fof(f3239,plain,
( spl0_366
<=> ! [X4,X7,X8,X5,X2] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OLeaf(X4,X2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f21,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OLeaf(X4,X2,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
fof(f3237,plain,
spl0_365,
inference(avatar_split_clause,[],[f9,f3235]) ).
fof(f3235,plain,
( spl0_365
<=> ! [X4,X7,X8,X5,X2] : c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OScons(X7,X8,X2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f9,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OScons(X7,X8,X2,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3233,plain,
spl0_364,
inference(avatar_split_clause,[],[f7,f3231]) ).
fof(f7,axiom,
! [X2,X3,X4] :
( X3 = X4
| c_Datatype_Ooption_OSome(X3,X2) != c_Datatype_Ooption_OSome(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3229,plain,
spl0_363,
inference(avatar_split_clause,[],[f4,f3227]) ).
fof(f4,axiom,
! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X2),X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3225,plain,
spl0_362,
inference(avatar_split_clause,[],[f3,f3223]) ).
fof(f3,axiom,
! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X2),X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3202,plain,
spl0_361,
inference(avatar_split_clause,[],[f261,f3200]) ).
fof(f3200,plain,
( spl0_361
<=> ! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X14,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f261,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X14,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3198,plain,
spl0_360,
inference(avatar_split_clause,[],[f260,f3196]) ).
fof(f3196,plain,
( spl0_360
<=> ! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X14,X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f260,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X14,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3194,plain,
spl0_359,
inference(avatar_split_clause,[],[f236,f3192]) ).
fof(f3192,plain,
( spl0_359
<=> ! [X18,X12] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X18)),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f236,axiom,
! [X18,X12] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X18)),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3190,plain,
spl0_358,
inference(avatar_split_clause,[],[f233,f3188]) ).
fof(f233,axiom,
! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X18,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3186,plain,
spl0_357,
inference(avatar_split_clause,[],[f232,f3184]) ).
fof(f232,axiom,
! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X12,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3180,plain,
spl0_356,
inference(avatar_split_clause,[],[f190,f3178]) ).
fof(f3178,plain,
( spl0_356
<=> ! [X2,X14] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f190,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3176,plain,
spl0_355,
inference(avatar_split_clause,[],[f189,f3174]) ).
fof(f3174,plain,
( spl0_355
<=> ! [X2,X14] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f189,axiom,
! [X2,X14] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3172,plain,
spl0_354,
inference(avatar_split_clause,[],[f188,f3170]) ).
fof(f3170,plain,
( spl0_354
<=> ! [X6,X2,X5,X4] : c_Sum__Type_OInl(X4,X2,X5) != c_Sum__Type_OInr(X6,X5,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f188,axiom,
! [X2,X6,X4,X5] : c_Sum__Type_OInl(X4,X2,X5) != c_Sum__Type_OInr(X6,X5,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
fof(f3168,plain,
spl0_353,
inference(avatar_split_clause,[],[f171,f3166]) ).
fof(f3166,plain,
( spl0_353
<=> ! [X13,X2,X15] :
( c_emptyset = X15
| c_emptyset != c_union(X13,X15,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f171,axiom,
! [X2,X15,X13] :
( c_emptyset = X15
| c_emptyset != c_union(X13,X15,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3164,plain,
spl0_352,
inference(avatar_split_clause,[],[f170,f3162]) ).
fof(f3162,plain,
( spl0_352
<=> ! [X13,X2,X15] :
( c_emptyset = X13
| c_emptyset != c_union(X13,X15,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f170,axiom,
! [X2,X15,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X13,X15,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3160,plain,
spl0_351,
inference(avatar_split_clause,[],[f108,f3158]) ).
fof(f3158,plain,
( spl0_351
<=> ! [X18,X12] :
( c_0 = X18
| c_0 != c_plus(X12,X18,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f108,axiom,
! [X18,X12] :
( c_0 = X18
| c_0 != c_plus(X12,X18,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3156,plain,
spl0_350,
inference(avatar_split_clause,[],[f107,f3154]) ).
fof(f3154,plain,
( spl0_350
<=> ! [X18,X12] :
( c_0 = X12
| c_0 != c_plus(X12,X18,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f107,axiom,
! [X18,X12] :
( c_0 = X12
| c_0 != c_plus(X12,X18,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3152,plain,
spl0_349,
inference(avatar_split_clause,[],[f91,f3150]) ).
fof(f3150,plain,
( spl0_349
<=> ! [X22,X2,X21] :
( c_List_Olist_ONil = X22
| c_append(X21,X22,X2) != X21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f91,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_append(X21,X22,X2) != X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3148,plain,
spl0_348,
inference(avatar_split_clause,[],[f73,f3146]) ).
fof(f3146,plain,
( spl0_348
<=> ! [X2,X21] :
( c_List_Olist_ONil = X21
| c_0 != c_Nat_Osize(X21,tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f73,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_0 != c_Nat_Osize(X21,tc_List_Olist(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3144,plain,
spl0_347,
inference(avatar_split_clause,[],[f67,f3142]) ).
fof(f3142,plain,
( spl0_347
<=> ! [X22,X2,X21] :
( c_List_Olist_ONil = X21
| c_append(X21,X22,X2) != X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f67,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_append(X21,X22,X2) != X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff1_0) ).
fof(f3138,plain,
spl0_346,
inference(avatar_split_clause,[],[f53,f3136]) ).
fof(f3136,plain,
( spl0_346
<=> ! [X22,X2,X21] :
( c_List_Olist_ONil = X22
| c_List_Olist_ONil != c_append(X21,X22,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f53,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_1) ).
fof(f3134,plain,
spl0_345,
inference(avatar_split_clause,[],[f52,f3132]) ).
fof(f3132,plain,
( spl0_345
<=> ! [X22,X2,X21] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_append(X21,X22,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f52,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f3130,plain,
spl0_344,
inference(avatar_split_clause,[],[f25,f3128]) ).
fof(f3128,plain,
( spl0_344
<=> ! [X13,X2,X14] :
( c_emptyset = X13
| c_emptyset != c_Equiv__Relations_Oquotient(X13,X14,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f25,axiom,
! [X2,X14,X13] :
( c_emptyset = X13
| c_emptyset != c_Equiv__Relations_Oquotient(X13,X14,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3126,plain,
spl0_343,
inference(avatar_split_clause,[],[f16,f3124]) ).
fof(f3124,plain,
( spl0_343
<=> ! [X2,X5,X9,X4] : c_Datatype__Universe_OLeaf(X4,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f16,axiom,
! [X2,X9,X4,X5] : c_Datatype__Universe_OLeaf(X4,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3122,plain,
spl0_342,
inference(avatar_split_clause,[],[f13,f3120]) ).
fof(f3120,plain,
( spl0_342
<=> ! [X2,X5,X8,X7] : c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn1(X8,X2,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f13,axiom,
! [X2,X8,X7,X5] : c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn1(X8,X2,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3118,plain,
( spl0_341
| ~ spl0_305
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f3022,f2989,f2949,f3116]) ).
fof(f3116,plain,
( spl0_341
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f3022,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_305
| ~ spl0_315 ),
inference(resolution,[],[f2990,f2950]) ).
fof(f3109,plain,
( spl0_340
| ~ spl0_305
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f3021,f2985,f2949,f3107]) ).
fof(f3107,plain,
( spl0_340
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f3021,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_305
| ~ spl0_314 ),
inference(resolution,[],[f2986,f2950]) ).
fof(f3103,plain,
spl0_339,
inference(avatar_split_clause,[],[f450,f3101]) ).
fof(f3101,plain,
( spl0_339
<=> ! [X52,X51] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_sum(X52,X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f450,axiom,
! [X51,X52] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_sum(X52,X51)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3099,plain,
spl0_338,
inference(avatar_split_clause,[],[f444,f3097]) ).
fof(f3097,plain,
( spl0_338
<=> ! [X52,X51] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_prod(X52,X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f444,axiom,
! [X51,X52] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_prod(X52,X51)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3095,plain,
spl0_337,
inference(avatar_split_clause,[],[f394,f3093]) ).
fof(f3093,plain,
( spl0_337
<=> ! [X52,X51] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_fun(X52,X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f394,axiom,
! [X51,X52] :
( ~ class_Finite__Set_Ofinite(X52)
| ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_fun(X52,X51)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3091,plain,
spl0_336,
inference(avatar_split_clause,[],[f292,f3089]) ).
fof(f292,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3087,plain,
spl0_335,
inference(avatar_split_clause,[],[f291,f3085]) ).
fof(f291,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3083,plain,
spl0_334,
inference(avatar_split_clause,[],[f290,f3081]) ).
fof(f290,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3079,plain,
spl0_333,
inference(avatar_split_clause,[],[f289,f3077]) ).
fof(f289,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3075,plain,
( spl0_332
| ~ spl0_304
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3020,f2981,f2945,f3073]) ).
fof(f3073,plain,
( spl0_332
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f2981,plain,
( spl0_313
<=> ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3020,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_304
| ~ spl0_313 ),
inference(resolution,[],[f2982,f2946]) ).
fof(f2982,plain,
( ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_nat),tc_nat)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f3071,plain,
spl0_331,
inference(avatar_split_clause,[],[f287,f3069]) ).
fof(f287,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3067,plain,
spl0_330,
inference(avatar_split_clause,[],[f286,f3065]) ).
fof(f286,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3063,plain,
spl0_329,
inference(avatar_split_clause,[],[f285,f3061]) ).
fof(f285,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3059,plain,
spl0_328,
inference(avatar_split_clause,[],[f284,f3057]) ).
fof(f284,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3055,plain,
spl0_327,
inference(avatar_split_clause,[],[f235,f3053]) ).
fof(f3053,plain,
( spl0_327
<=> ! [X18,X12] : c_lessequals(c_uminus(c_IntDef_Oint(X18),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f235,axiom,
! [X18,X12] : c_lessequals(c_uminus(c_IntDef_Oint(X18),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3051,plain,
spl0_326,
inference(avatar_split_clause,[],[f112,f3049]) ).
fof(f3049,plain,
( spl0_326
<=> ! [X18] :
( c_0 = X18
| ~ c_less(X18,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f112,axiom,
! [X18] :
( c_0 = X18
| ~ c_less(X18,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3047,plain,
spl0_325,
inference(avatar_split_clause,[],[f97,f3045]) ).
fof(f3045,plain,
( spl0_325
<=> ! [X18,X12] :
( X12 = X18
| c_Suc(X12) != c_Suc(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f97,axiom,
! [X18,X12] :
( X12 = X18
| c_Suc(X12) != c_Suc(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3043,plain,
spl0_324,
inference(avatar_split_clause,[],[f95,f3041]) ).
fof(f3041,plain,
( spl0_324
<=> ! [X2,X21] :
( c_List_Olist_ONil = X21
| c_emptyset != c_List_Oset(X21,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f95,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_emptyset != c_List_Oset(X21,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty__iff1_0) ).
fof(f3039,plain,
spl0_323,
inference(avatar_split_clause,[],[f55,f3037]) ).
fof(f3037,plain,
( spl0_323
<=> ! [X2,X21] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_List_Orev(X21,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f55,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_List_Orev(X21,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f3035,plain,
spl0_322,
inference(avatar_split_clause,[],[f44,f3033]) ).
fof(f3033,plain,
( spl0_322
<=> ! [X18,X12] :
( X12 = X18
| c_IntDef_Oint(X12) != c_IntDef_Oint(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f44,axiom,
! [X18,X12] :
( X12 = X18
| c_IntDef_Oint(X12) != c_IntDef_Oint(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3031,plain,
( spl0_321
| ~ spl0_304
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f3019,f2977,f2945,f3029]) ).
fof(f3029,plain,
( spl0_321
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f2977,plain,
( spl0_312
<=> ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f3019,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_304
| ~ spl0_312 ),
inference(resolution,[],[f2978,f2946]) ).
fof(f2978,plain,
( ! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_nat),tc_nat)
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f3027,plain,
spl0_320,
inference(avatar_split_clause,[],[f2,f3025]) ).
fof(f2,axiom,
! [X2,X0] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X2),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3007,plain,
spl0_319,
inference(avatar_split_clause,[],[f293,f3005]) ).
fof(f293,axiom,
! [X9] : c_in(c_SetInterval_OlessThan(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3003,plain,
spl0_318,
inference(avatar_split_clause,[],[f288,f3001]) ).
fof(f288,axiom,
! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f2999,plain,
spl0_317,
inference(avatar_split_clause,[],[f259,f2997]) ).
fof(f2997,plain,
( spl0_317
<=> ! [X13,X2] : c_in(c_List_Olist_ONil,c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f259,axiom,
! [X2,X13] : c_in(c_List_Olist_ONil,c_List_Olists(X13,X2),tc_List_Olist(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f2995,plain,
spl0_316,
inference(avatar_split_clause,[],[f243,f2993]) ).
fof(f243,axiom,
! [X2,X21] : c_in(c_List_Oset(X21,X2),c_Finite__Set_OFinites,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f2991,plain,
spl0_315,
inference(avatar_split_clause,[],[f240,f2989]) ).
fof(f240,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f2987,plain,
spl0_314,
inference(avatar_split_clause,[],[f239,f2985]) ).
fof(f239,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f2983,plain,
spl0_313,
inference(avatar_split_clause,[],[f224,f2981]) ).
fof(f224,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f2979,plain,
spl0_312,
inference(avatar_split_clause,[],[f223,f2977]) ).
fof(f223,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f2975,plain,
spl0_311,
inference(avatar_split_clause,[],[f176,f2973]) ).
fof(f176,axiom,
! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f2971,plain,
spl0_310,
inference(avatar_split_clause,[],[f119,f2969]) ).
fof(f2969,plain,
( spl0_310
<=> ! [X32,X31] : ~ c_less(c_plus(X32,X31,tc_nat),X31,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f119,axiom,
! [X31,X32] : ~ c_less(c_plus(X32,X31,tc_nat),X31,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f2967,plain,
spl0_309,
inference(avatar_split_clause,[],[f118,f2965]) ).
fof(f2965,plain,
( spl0_309
<=> ! [X32,X31] : ~ c_less(c_plus(X31,X32,tc_nat),X31,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f118,axiom,
! [X31,X32] : ~ c_less(c_plus(X31,X32,tc_nat),X31,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f2963,plain,
spl0_308,
inference(avatar_split_clause,[],[f116,f2961]) ).
fof(f116,axiom,
! [X18] :
( c_0 = X18
| c_less(c_0,X18,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f2959,plain,
spl0_307,
inference(avatar_split_clause,[],[f114,f2957]) ).
fof(f2957,plain,
( spl0_307
<=> ! [X18] :
( c_0 = X18
| ~ c_less(X18,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f114,axiom,
! [X18] :
( c_0 = X18
| ~ c_less(X18,c_1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f2955,plain,
spl0_306,
inference(avatar_split_clause,[],[f110,f2953]) ).
fof(f2953,plain,
( spl0_306
<=> ! [X31] :
( c_0 = X31
| ~ c_lessequals(X31,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f110,axiom,
! [X31] :
( c_0 = X31
| ~ c_lessequals(X31,c_0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f2951,plain,
spl0_305,
inference(avatar_split_clause,[],[f47,f2949]) ).
fof(f47,axiom,
! [X12] :
( c_0 = X12
| ~ c_Divides_Oop_Advd(c_0,X12,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f2947,plain,
spl0_304,
inference(avatar_split_clause,[],[f23,f2945]) ).
fof(f23,axiom,
! [X12] :
( c_0 = X12
| ~ c_Divides_Oop_Advd(c_0,X12,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f2943,plain,
spl0_303,
inference(avatar_split_clause,[],[f266,f2941]) ).
fof(f2941,plain,
( spl0_303
<=> ! [X2,X0] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f266,axiom,
! [X2,X0] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2939,plain,
spl0_302,
inference(avatar_split_clause,[],[f172,f2937]) ).
fof(f2937,plain,
( spl0_302
<=> ! [X2] : c_emptyset = c_union(c_emptyset,c_emptyset,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f172,axiom,
! [X2] : c_emptyset = c_union(c_emptyset,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f2935,plain,
spl0_301,
inference(avatar_split_clause,[],[f123,f2933]) ).
fof(f2933,plain,
( spl0_301
<=> ! [X2,X0] :
( ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f123,axiom,
! [X2,X0] :
( ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f2931,plain,
spl0_300,
inference(avatar_split_clause,[],[f109,f2928]) ).
fof(f2928,plain,
( spl0_300
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f109,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f2926,plain,
spl0_299,
inference(avatar_split_clause,[],[f90,f2924]) ).
fof(f90,axiom,
! [X2,X22] : c_append(c_List_Olist_ONil,X22,X2) = X22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff2_0) ).
fof(f2922,plain,
spl0_298,
inference(avatar_split_clause,[],[f80,f2920]) ).
fof(f2920,plain,
( spl0_298
<=> ! [X29,X2,X3] : c_List_Olist_ONil != c_List_Olist_OCons(X3,X29,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f80,axiom,
! [X2,X3,X29] : c_List_Olist_ONil != c_List_Olist_OCons(X3,X29,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f2918,plain,
spl0_297,
inference(avatar_split_clause,[],[f74,f2916]) ).
fof(f74,axiom,
! [X2] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2914,plain,
spl0_296,
inference(avatar_split_clause,[],[f70,f2912]) ).
fof(f70,axiom,
! [X2,X21] : c_append(X21,c_List_Olist_ONil,X2) = X21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f2910,plain,
spl0_295,
inference(avatar_split_clause,[],[f28,f2908]) ).
fof(f2908,plain,
( spl0_295
<=> ! [X2,X14] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X14,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f28,axiom,
! [X2,X14] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X14,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f2906,plain,
spl0_294,
inference(avatar_split_clause,[],[f448,f2904]) ).
fof(f2904,plain,
( spl0_294
<=> ! [X51] :
( ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_set(X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f448,axiom,
! [X51] :
( ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_set(X51)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f2902,plain,
spl0_293,
inference(avatar_split_clause,[],[f326,f2900]) ).
fof(f2900,plain,
( spl0_293
<=> ! [X51] :
( ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f326,axiom,
! [X51] :
( ~ class_Finite__Set_Ofinite(X51)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X51)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f2898,plain,
spl0_292,
inference(avatar_split_clause,[],[f310,f2896]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2894,plain,
spl0_291,
inference(avatar_split_clause,[],[f299,f2892]) ).
fof(f299,axiom,
! [X2,X13] : c_lessequals(c_emptyset,X13,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2890,plain,
spl0_290,
inference(avatar_split_clause,[],[f265,f2888]) ).
fof(f2888,plain,
( spl0_290
<=> ! [X18] : c_less(c_0,c_Suc(X18),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f265,axiom,
! [X18] : c_less(c_0,c_Suc(X18),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2886,plain,
spl0_289,
inference(avatar_split_clause,[],[f263,f2884]) ).
fof(f263,axiom,
! [X18] : c_less(X18,c_Suc(X18),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2882,plain,
spl0_288,
inference(avatar_split_clause,[],[f226,f2880]) ).
fof(f2880,plain,
( spl0_288
<=> ! [X2] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f226,axiom,
! [X2] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2878,plain,
spl0_287,
inference(avatar_split_clause,[],[f222,f2876]) ).
fof(f2876,plain,
( spl0_287
<=> ! [X9] : c_Divides_Oop_Advd(c_Suc(c_0),X9,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f222,axiom,
! [X9] : c_Divides_Oop_Advd(c_Suc(c_0),X9,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2874,plain,
spl0_286,
inference(avatar_split_clause,[],[f178,f2872]) ).
fof(f2872,plain,
( spl0_286
<=> ! [X13,X2] : ~ c_less(X13,c_emptyset,tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f178,axiom,
! [X2,X13] : ~ c_less(X13,c_emptyset,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2870,plain,
spl0_285,
inference(avatar_split_clause,[],[f96,f2868]) ).
fof(f2868,plain,
( spl0_285
<=> ! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f96,axiom,
! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty__iff2_0) ).
fof(f2866,plain,
spl0_284,
inference(avatar_split_clause,[],[f86,f2864]) ).
fof(f86,axiom,
! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff2_0) ).
fof(f2862,plain,
~ spl0_283,
inference(avatar_split_clause,[],[f43,f2859]) ).
fof(f2859,plain,
( spl0_283
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f43,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f2857,plain,
spl0_282,
inference(avatar_split_clause,[],[f5,f2855]) ).
fof(f2855,plain,
( spl0_282
<=> ! [X2,X3] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f5,axiom,
! [X2,X3] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f2546,plain,
spl0_281,
inference(avatar_split_clause,[],[f1357,f2544]) ).
fof(f2544,plain,
( spl0_281
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1357,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2542,plain,
spl0_280,
inference(avatar_split_clause,[],[f1356,f2540]) ).
fof(f2540,plain,
( spl0_280
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1356,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2538,plain,
spl0_279,
inference(avatar_split_clause,[],[f1355,f2536]) ).
fof(f2536,plain,
( spl0_279
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1355,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2534,plain,
spl0_278,
inference(avatar_split_clause,[],[f1354,f2532]) ).
fof(f2532,plain,
( spl0_278
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1354,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2530,plain,
spl0_277,
inference(avatar_split_clause,[],[f1353,f2528]) ).
fof(f2528,plain,
( spl0_277
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1353,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2526,plain,
spl0_276,
inference(avatar_split_clause,[],[f1352,f2524]) ).
fof(f2524,plain,
( spl0_276
<=> ! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1352,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2522,plain,
spl0_275,
inference(avatar_split_clause,[],[f1265,f2520]) ).
fof(f2520,plain,
( spl0_275
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1265,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2518,plain,
spl0_274,
inference(avatar_split_clause,[],[f1257,f2516]) ).
fof(f2516,plain,
( spl0_274
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1257,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2514,plain,
spl0_273,
inference(avatar_split_clause,[],[f1256,f2512]) ).
fof(f2512,plain,
( spl0_273
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1256,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2510,plain,
spl0_272,
inference(avatar_split_clause,[],[f1246,f2508]) ).
fof(f2508,plain,
( spl0_272
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1246,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2506,plain,
spl0_271,
inference(avatar_split_clause,[],[f1245,f2504]) ).
fof(f2504,plain,
( spl0_271
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1245,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2502,plain,
spl0_270,
inference(avatar_split_clause,[],[f1244,f2500]) ).
fof(f2500,plain,
( spl0_270
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1244,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2498,plain,
spl0_269,
inference(avatar_split_clause,[],[f1242,f2496]) ).
fof(f2496,plain,
( spl0_269
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1242,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2494,plain,
spl0_268,
inference(avatar_split_clause,[],[f1241,f2492]) ).
fof(f2492,plain,
( spl0_268
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1241,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2490,plain,
spl0_267,
inference(avatar_split_clause,[],[f1240,f2488]) ).
fof(f2488,plain,
( spl0_267
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1240,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2486,plain,
spl0_266,
inference(avatar_split_clause,[],[f1239,f2484]) ).
fof(f2484,plain,
( spl0_266
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1239,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2482,plain,
spl0_265,
inference(avatar_split_clause,[],[f1238,f2480]) ).
fof(f2480,plain,
( spl0_265
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1238,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2478,plain,
spl0_264,
inference(avatar_split_clause,[],[f1222,f2476]) ).
fof(f2476,plain,
( spl0_264
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1222,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2474,plain,
spl0_263,
inference(avatar_split_clause,[],[f1221,f2472]) ).
fof(f2472,plain,
( spl0_263
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1221,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2470,plain,
spl0_262,
inference(avatar_split_clause,[],[f1220,f2468]) ).
fof(f2468,plain,
( spl0_262
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1220,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2466,plain,
spl0_261,
inference(avatar_split_clause,[],[f1219,f2464]) ).
fof(f2464,plain,
( spl0_261
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1219,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2462,plain,
spl0_260,
inference(avatar_split_clause,[],[f1187,f2460]) ).
fof(f2460,plain,
( spl0_260
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f1187,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2458,plain,
spl0_259,
inference(avatar_split_clause,[],[f1178,f2456]) ).
fof(f2456,plain,
( spl0_259
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1178,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2454,plain,
spl0_258,
inference(avatar_split_clause,[],[f1177,f2452]) ).
fof(f2452,plain,
( spl0_258
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f1177,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2450,plain,
spl0_257,
inference(avatar_split_clause,[],[f1174,f2448]) ).
fof(f2448,plain,
( spl0_257
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1174,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2446,plain,
spl0_256,
inference(avatar_split_clause,[],[f1164,f2444]) ).
fof(f2444,plain,
( spl0_256
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f1164,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2442,plain,
spl0_255,
inference(avatar_split_clause,[],[f1163,f2440]) ).
fof(f2440,plain,
( spl0_255
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f1163,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2438,plain,
spl0_254,
inference(avatar_split_clause,[],[f1160,f2436]) ).
fof(f2436,plain,
( spl0_254
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f1160,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2434,plain,
spl0_253,
inference(avatar_split_clause,[],[f1159,f2432]) ).
fof(f2432,plain,
( spl0_253
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1159,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2430,plain,
spl0_252,
inference(avatar_split_clause,[],[f1155,f2428]) ).
fof(f2428,plain,
( spl0_252
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f1155,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2426,plain,
spl0_251,
inference(avatar_split_clause,[],[f1153,f2424]) ).
fof(f2424,plain,
( spl0_251
<=> ! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1153,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2422,plain,
spl0_250,
inference(avatar_split_clause,[],[f1152,f2420]) ).
fof(f2420,plain,
( spl0_250
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f1152,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2418,plain,
spl0_249,
inference(avatar_split_clause,[],[f1145,f2416]) ).
fof(f2416,plain,
( spl0_249
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1145,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2414,plain,
spl0_248,
inference(avatar_split_clause,[],[f1144,f2412]) ).
fof(f2412,plain,
( spl0_248
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1144,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2410,plain,
spl0_247,
inference(avatar_split_clause,[],[f1139,f2408]) ).
fof(f2408,plain,
( spl0_247
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f1139,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2406,plain,
spl0_246,
inference(avatar_split_clause,[],[f1138,f2404]) ).
fof(f2404,plain,
( spl0_246
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f1138,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2402,plain,
spl0_245,
inference(avatar_split_clause,[],[f1137,f2400]) ).
fof(f2400,plain,
( spl0_245
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f1137,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2398,plain,
spl0_244,
inference(avatar_split_clause,[],[f1136,f2396]) ).
fof(f2396,plain,
( spl0_244
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f1136,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2394,plain,
spl0_243,
inference(avatar_split_clause,[],[f1135,f2392]) ).
fof(f2392,plain,
( spl0_243
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f1135,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2390,plain,
spl0_242,
inference(avatar_split_clause,[],[f1134,f2388]) ).
fof(f2388,plain,
( spl0_242
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f1134,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2386,plain,
spl0_241,
inference(avatar_split_clause,[],[f1133,f2384]) ).
fof(f2384,plain,
( spl0_241
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f1133,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2382,plain,
spl0_240,
inference(avatar_split_clause,[],[f1132,f2380]) ).
fof(f2380,plain,
( spl0_240
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f1132,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2378,plain,
spl0_239,
inference(avatar_split_clause,[],[f1131,f2376]) ).
fof(f2376,plain,
( spl0_239
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f1131,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2374,plain,
spl0_238,
inference(avatar_split_clause,[],[f1122,f2372]) ).
fof(f2372,plain,
( spl0_238
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1122,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2370,plain,
spl0_237,
inference(avatar_split_clause,[],[f1121,f2368]) ).
fof(f2368,plain,
( spl0_237
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1121,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2366,plain,
spl0_236,
inference(avatar_split_clause,[],[f1120,f2364]) ).
fof(f2364,plain,
( spl0_236
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1120,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2362,plain,
spl0_235,
inference(avatar_split_clause,[],[f1119,f2360]) ).
fof(f2360,plain,
( spl0_235
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1119,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2358,plain,
spl0_234,
inference(avatar_split_clause,[],[f1118,f2356]) ).
fof(f2356,plain,
( spl0_234
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f1118,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2354,plain,
spl0_233,
inference(avatar_split_clause,[],[f1117,f2352]) ).
fof(f2352,plain,
( spl0_233
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f1117,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2350,plain,
spl0_232,
inference(avatar_split_clause,[],[f1116,f2348]) ).
fof(f2348,plain,
( spl0_232
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1116,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2346,plain,
spl0_231,
inference(avatar_split_clause,[],[f1115,f2344]) ).
fof(f2344,plain,
( spl0_231
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f1115,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2342,plain,
spl0_230,
inference(avatar_split_clause,[],[f1114,f2340]) ).
fof(f2340,plain,
( spl0_230
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1114,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2338,plain,
spl0_229,
inference(avatar_split_clause,[],[f1113,f2336]) ).
fof(f2336,plain,
( spl0_229
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1113,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2334,plain,
spl0_228,
inference(avatar_split_clause,[],[f1111,f2332]) ).
fof(f2332,plain,
( spl0_228
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1111,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2330,plain,
spl0_227,
inference(avatar_split_clause,[],[f1110,f2328]) ).
fof(f2328,plain,
( spl0_227
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1110,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2326,plain,
spl0_226,
inference(avatar_split_clause,[],[f1109,f2324]) ).
fof(f2324,plain,
( spl0_226
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1109,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2322,plain,
spl0_225,
inference(avatar_split_clause,[],[f1108,f2320]) ).
fof(f2320,plain,
( spl0_225
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1108,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2318,plain,
spl0_224,
inference(avatar_split_clause,[],[f1107,f2316]) ).
fof(f2316,plain,
( spl0_224
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f1107,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2314,plain,
spl0_223,
inference(avatar_split_clause,[],[f1106,f2312]) ).
fof(f2312,plain,
( spl0_223
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1106,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2310,plain,
spl0_222,
inference(avatar_split_clause,[],[f1081,f2308]) ).
fof(f2308,plain,
( spl0_222
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1081,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2306,plain,
spl0_221,
inference(avatar_split_clause,[],[f1080,f2304]) ).
fof(f2304,plain,
( spl0_221
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1080,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2302,plain,
spl0_220,
inference(avatar_split_clause,[],[f1079,f2300]) ).
fof(f2300,plain,
( spl0_220
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1079,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2298,plain,
spl0_219,
inference(avatar_split_clause,[],[f1078,f2296]) ).
fof(f2296,plain,
( spl0_219
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1078,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2294,plain,
spl0_218,
inference(avatar_split_clause,[],[f1077,f2292]) ).
fof(f2292,plain,
( spl0_218
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Olordered__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1077,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Olordered__ring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2290,plain,
spl0_217,
inference(avatar_split_clause,[],[f1076,f2288]) ).
fof(f2288,plain,
( spl0_217
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1076,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2286,plain,
spl0_216,
inference(avatar_split_clause,[],[f1074,f2284]) ).
fof(f2284,plain,
( spl0_216
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1074,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2282,plain,
spl0_215,
inference(avatar_split_clause,[],[f1073,f2280]) ).
fof(f2280,plain,
( spl0_215
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1073,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2278,plain,
spl0_214,
inference(avatar_split_clause,[],[f1072,f2276]) ).
fof(f2276,plain,
( spl0_214
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1072,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2274,plain,
spl0_213,
inference(avatar_split_clause,[],[f1071,f2272]) ).
fof(f2272,plain,
( spl0_213
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1071,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2270,plain,
spl0_212,
inference(avatar_split_clause,[],[f1070,f2268]) ).
fof(f2268,plain,
( spl0_212
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f1070,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2266,plain,
spl0_211,
inference(avatar_split_clause,[],[f1069,f2264]) ).
fof(f2264,plain,
( spl0_211
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1069,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2262,plain,
spl0_210,
inference(avatar_split_clause,[],[f1068,f2260]) ).
fof(f2260,plain,
( spl0_210
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1068,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2258,plain,
spl0_209,
inference(avatar_split_clause,[],[f1067,f2256]) ).
fof(f2256,plain,
( spl0_209
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1067,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2254,plain,
spl0_208,
inference(avatar_split_clause,[],[f1066,f2252]) ).
fof(f2252,plain,
( spl0_208
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f1066,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2250,plain,
spl0_207,
inference(avatar_split_clause,[],[f1065,f2248]) ).
fof(f2248,plain,
( spl0_207
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1065,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2246,plain,
spl0_206,
inference(avatar_split_clause,[],[f1063,f2244]) ).
fof(f2244,plain,
( spl0_206
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1063,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2242,plain,
spl0_205,
inference(avatar_split_clause,[],[f1062,f2240]) ).
fof(f2240,plain,
( spl0_205
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1062,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2238,plain,
spl0_204,
inference(avatar_split_clause,[],[f1061,f2236]) ).
fof(f2236,plain,
( spl0_204
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1061,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2234,plain,
spl0_203,
inference(avatar_split_clause,[],[f1060,f2232]) ).
fof(f2232,plain,
( spl0_203
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1060,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2230,plain,
spl0_202,
inference(avatar_split_clause,[],[f1059,f2228]) ).
fof(f2228,plain,
( spl0_202
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1059,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2226,plain,
spl0_201,
inference(avatar_split_clause,[],[f1045,f2224]) ).
fof(f2224,plain,
( spl0_201
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semidom(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f1045,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semidom(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2222,plain,
spl0_200,
inference(avatar_split_clause,[],[f1044,f2220]) ).
fof(f2220,plain,
( spl0_200
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1044,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2218,plain,
spl0_199,
inference(avatar_split_clause,[],[f1043,f2216]) ).
fof(f2216,plain,
( spl0_199
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1043,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2214,plain,
spl0_198,
inference(avatar_split_clause,[],[f1042,f2212]) ).
fof(f2212,plain,
( spl0_198
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f1042,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2210,plain,
spl0_197,
inference(avatar_split_clause,[],[f1041,f2208]) ).
fof(f2208,plain,
( spl0_197
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f1041,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2206,plain,
spl0_196,
inference(avatar_split_clause,[],[f1040,f2204]) ).
fof(f2204,plain,
( spl0_196
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1040,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2202,plain,
spl0_195,
inference(avatar_split_clause,[],[f1038,f2200]) ).
fof(f2200,plain,
( spl0_195
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1038,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2198,plain,
spl0_194,
inference(avatar_split_clause,[],[f1037,f2196]) ).
fof(f2196,plain,
( spl0_194
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Olordered__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1037,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Olordered__ring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2194,plain,
spl0_193,
inference(avatar_split_clause,[],[f1036,f2192]) ).
fof(f2192,plain,
( spl0_193
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__ring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1036,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__ring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2190,plain,
spl0_192,
inference(avatar_split_clause,[],[f1035,f2188]) ).
fof(f2188,plain,
( spl0_192
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1035,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2186,plain,
spl0_191,
inference(avatar_split_clause,[],[f1034,f2184]) ).
fof(f2184,plain,
( spl0_191
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1034,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2182,plain,
spl0_190,
inference(avatar_split_clause,[],[f1033,f2180]) ).
fof(f2180,plain,
( spl0_190
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1033,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2178,plain,
spl0_189,
inference(avatar_split_clause,[],[f1032,f2176]) ).
fof(f2176,plain,
( spl0_189
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1032,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2174,plain,
spl0_188,
inference(avatar_split_clause,[],[f1031,f2172]) ).
fof(f2172,plain,
( spl0_188
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1031,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2170,plain,
spl0_187,
inference(avatar_split_clause,[],[f1030,f2168]) ).
fof(f2168,plain,
( spl0_187
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1030,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2166,plain,
spl0_186,
inference(avatar_split_clause,[],[f1029,f2164]) ).
fof(f2164,plain,
( spl0_186
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1029,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2162,plain,
spl0_185,
inference(avatar_split_clause,[],[f1027,f2160]) ).
fof(f2160,plain,
( spl0_185
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1027,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2158,plain,
spl0_184,
inference(avatar_split_clause,[],[f1026,f2156]) ).
fof(f2156,plain,
( spl0_184
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1026,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2154,plain,
spl0_183,
inference(avatar_split_clause,[],[f1025,f2152]) ).
fof(f2152,plain,
( spl0_183
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1025,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2150,plain,
spl0_182,
inference(avatar_split_clause,[],[f1024,f2148]) ).
fof(f2148,plain,
( spl0_182
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1024,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2146,plain,
spl0_181,
inference(avatar_split_clause,[],[f1023,f2144]) ).
fof(f2144,plain,
( spl0_181
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1023,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2142,plain,
spl0_180,
inference(avatar_split_clause,[],[f1022,f2140]) ).
fof(f2140,plain,
( spl0_180
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1022,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2138,plain,
spl0_179,
inference(avatar_split_clause,[],[f1021,f2136]) ).
fof(f2136,plain,
( spl0_179
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1021,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2134,plain,
spl0_178,
inference(avatar_split_clause,[],[f1020,f2132]) ).
fof(f2132,plain,
( spl0_178
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1020,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2130,plain,
spl0_177,
inference(avatar_split_clause,[],[f1019,f2128]) ).
fof(f2128,plain,
( spl0_177
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1019,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2126,plain,
spl0_176,
inference(avatar_split_clause,[],[f1018,f2124]) ).
fof(f2124,plain,
( spl0_176
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1018,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2122,plain,
spl0_175,
inference(avatar_split_clause,[],[f925,f2120]) ).
fof(f2120,plain,
( spl0_175
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f925,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2118,plain,
spl0_174,
inference(avatar_split_clause,[],[f924,f2116]) ).
fof(f2116,plain,
( spl0_174
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f924,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2114,plain,
spl0_173,
inference(avatar_split_clause,[],[f923,f2112]) ).
fof(f2112,plain,
( spl0_173
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f923,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2110,plain,
spl0_172,
inference(avatar_split_clause,[],[f921,f2108]) ).
fof(f2108,plain,
( spl0_172
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f921,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2106,plain,
spl0_171,
inference(avatar_split_clause,[],[f920,f2104]) ).
fof(f2104,plain,
( spl0_171
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f920,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2102,plain,
spl0_170,
inference(avatar_split_clause,[],[f917,f2100]) ).
fof(f2100,plain,
( spl0_170
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f917,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2098,plain,
spl0_169,
inference(avatar_split_clause,[],[f916,f2096]) ).
fof(f2096,plain,
( spl0_169
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f916,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2094,plain,
spl0_168,
inference(avatar_split_clause,[],[f914,f2092]) ).
fof(f2092,plain,
( spl0_168
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f914,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2090,plain,
spl0_167,
inference(avatar_split_clause,[],[f913,f2088]) ).
fof(f2088,plain,
( spl0_167
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f913,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2086,plain,
spl0_166,
inference(avatar_split_clause,[],[f912,f2084]) ).
fof(f2084,plain,
( spl0_166
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f912,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2082,plain,
spl0_165,
inference(avatar_split_clause,[],[f911,f2080]) ).
fof(f2080,plain,
( spl0_165
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f911,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2078,plain,
spl0_164,
inference(avatar_split_clause,[],[f910,f2076]) ).
fof(f2076,plain,
( spl0_164
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f910,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2074,plain,
spl0_163,
inference(avatar_split_clause,[],[f909,f2072]) ).
fof(f2072,plain,
( spl0_163
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f909,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2070,plain,
spl0_162,
inference(avatar_split_clause,[],[f908,f2068]) ).
fof(f2068,plain,
( spl0_162
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f908,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2066,plain,
spl0_161,
inference(avatar_split_clause,[],[f907,f2064]) ).
fof(f2064,plain,
( spl0_161
<=> ! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f907,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2062,plain,
spl0_160,
inference(avatar_split_clause,[],[f902,f2060]) ).
fof(f2060,plain,
( spl0_160
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f902,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2058,plain,
spl0_159,
inference(avatar_split_clause,[],[f901,f2056]) ).
fof(f2056,plain,
( spl0_159
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f901,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2054,plain,
spl0_158,
inference(avatar_split_clause,[],[f900,f2052]) ).
fof(f2052,plain,
( spl0_158
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f900,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2050,plain,
spl0_157,
inference(avatar_split_clause,[],[f899,f2048]) ).
fof(f2048,plain,
( spl0_157
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f899,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2046,plain,
spl0_156,
inference(avatar_split_clause,[],[f898,f2044]) ).
fof(f2044,plain,
( spl0_156
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f898,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2042,plain,
spl0_155,
inference(avatar_split_clause,[],[f896,f2040]) ).
fof(f2040,plain,
( spl0_155
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f896,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2038,plain,
spl0_154,
inference(avatar_split_clause,[],[f894,f2036]) ).
fof(f2036,plain,
( spl0_154
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f894,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2034,plain,
spl0_153,
inference(avatar_split_clause,[],[f893,f2032]) ).
fof(f2032,plain,
( spl0_153
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f893,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2030,plain,
spl0_152,
inference(avatar_split_clause,[],[f892,f2028]) ).
fof(f2028,plain,
( spl0_152
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f892,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2026,plain,
spl0_151,
inference(avatar_split_clause,[],[f891,f2024]) ).
fof(f2024,plain,
( spl0_151
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f891,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2022,plain,
spl0_150,
inference(avatar_split_clause,[],[f890,f2020]) ).
fof(f2020,plain,
( spl0_150
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f890,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2018,plain,
spl0_149,
inference(avatar_split_clause,[],[f889,f2016]) ).
fof(f2016,plain,
( spl0_149
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f889,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2014,plain,
spl0_148,
inference(avatar_split_clause,[],[f884,f2012]) ).
fof(f2012,plain,
( spl0_148
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f884,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2010,plain,
spl0_147,
inference(avatar_split_clause,[],[f875,f2008]) ).
fof(f2008,plain,
( spl0_147
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f875,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2006,plain,
spl0_146,
inference(avatar_split_clause,[],[f874,f2004]) ).
fof(f2004,plain,
( spl0_146
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f874,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2002,plain,
spl0_145,
inference(avatar_split_clause,[],[f872,f2000]) ).
fof(f2000,plain,
( spl0_145
<=> ! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__ring(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f872,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f1998,plain,
spl0_144,
inference(avatar_split_clause,[],[f681,f1996]) ).
fof(f1996,plain,
( spl0_144
<=> ! [X53] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f681,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f1994,plain,
spl0_143,
inference(avatar_split_clause,[],[f652,f1992]) ).
fof(f1992,plain,
( spl0_143
<=> ! [X53] :
( ~ class_Orderings_Oorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f652,axiom,
! [X53] :
( ~ class_Orderings_Oorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f1990,plain,
spl0_142,
inference(avatar_split_clause,[],[f651,f1988]) ).
fof(f1988,plain,
( spl0_142
<=> ! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f651,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f1986,plain,
spl0_141,
inference(avatar_split_clause,[],[f650,f1984]) ).
fof(f1984,plain,
( spl0_141
<=> ! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f650,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f1982,plain,
spl0_140,
inference(avatar_split_clause,[],[f649,f1980]) ).
fof(f1980,plain,
( spl0_140
<=> ! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f649,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f1978,plain,
spl0_139,
inference(avatar_split_clause,[],[f648,f1976]) ).
fof(f1976,plain,
( spl0_139
<=> ! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f648,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f1974,plain,
spl0_138,
inference(avatar_split_clause,[],[f647,f1972]) ).
fof(f1972,plain,
( spl0_138
<=> ! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f647,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f1970,plain,
spl0_137,
inference(avatar_split_clause,[],[f639,f1968]) ).
fof(f1968,plain,
( spl0_137
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f639,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f1966,plain,
spl0_136,
inference(avatar_split_clause,[],[f638,f1964]) ).
fof(f1964,plain,
( spl0_136
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f638,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f1962,plain,
spl0_135,
inference(avatar_split_clause,[],[f637,f1960]) ).
fof(f1960,plain,
( spl0_135
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f637,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f1958,plain,
spl0_134,
inference(avatar_split_clause,[],[f631,f1956]) ).
fof(f1956,plain,
( spl0_134
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f631,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f1954,plain,
spl0_133,
inference(avatar_split_clause,[],[f630,f1952]) ).
fof(f1952,plain,
( spl0_133
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f630,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f1950,plain,
spl0_132,
inference(avatar_split_clause,[],[f629,f1948]) ).
fof(f1948,plain,
( spl0_132
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f629,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f1946,plain,
spl0_131,
inference(avatar_split_clause,[],[f628,f1944]) ).
fof(f1944,plain,
( spl0_131
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f628,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f1942,plain,
spl0_130,
inference(avatar_split_clause,[],[f624,f1940]) ).
fof(f1940,plain,
( spl0_130
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f624,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f1938,plain,
spl0_129,
inference(avatar_split_clause,[],[f623,f1936]) ).
fof(f1936,plain,
( spl0_129
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f623,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f1934,plain,
spl0_128,
inference(avatar_split_clause,[],[f622,f1932]) ).
fof(f1932,plain,
( spl0_128
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f622,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f1930,plain,
spl0_127,
inference(avatar_split_clause,[],[f614,f1928]) ).
fof(f1928,plain,
( spl0_127
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f614,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f1926,plain,
spl0_126,
inference(avatar_split_clause,[],[f613,f1924]) ).
fof(f1924,plain,
( spl0_126
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f613,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f1922,plain,
spl0_125,
inference(avatar_split_clause,[],[f612,f1920]) ).
fof(f1920,plain,
( spl0_125
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f612,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f1918,plain,
spl0_124,
inference(avatar_split_clause,[],[f611,f1916]) ).
fof(f1916,plain,
( spl0_124
<=> ! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f611,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f1914,plain,
spl0_123,
inference(avatar_split_clause,[],[f608,f1912]) ).
fof(f1912,plain,
( spl0_123
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Olinorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f608,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f1910,plain,
spl0_122,
inference(avatar_split_clause,[],[f602,f1908]) ).
fof(f1908,plain,
( spl0_122
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f602,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f1906,plain,
spl0_121,
inference(avatar_split_clause,[],[f601,f1904]) ).
fof(f1904,plain,
( spl0_121
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f601,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f1902,plain,
spl0_120,
inference(avatar_split_clause,[],[f600,f1900]) ).
fof(f1900,plain,
( spl0_120
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f600,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f1898,plain,
spl0_119,
inference(avatar_split_clause,[],[f599,f1896]) ).
fof(f1896,plain,
( spl0_119
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f599,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f1894,plain,
spl0_118,
inference(avatar_split_clause,[],[f598,f1892]) ).
fof(f1892,plain,
( spl0_118
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f598,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f1890,plain,
spl0_117,
inference(avatar_split_clause,[],[f597,f1888]) ).
fof(f1888,plain,
( spl0_117
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f597,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f1886,plain,
spl0_116,
inference(avatar_split_clause,[],[f596,f1884]) ).
fof(f1884,plain,
( spl0_116
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f596,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f1882,plain,
spl0_115,
inference(avatar_split_clause,[],[f595,f1880]) ).
fof(f1880,plain,
( spl0_115
<=> ! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f595,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f1878,plain,
spl0_114,
inference(avatar_split_clause,[],[f591,f1876]) ).
fof(f1876,plain,
( spl0_114
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f591,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1874,plain,
spl0_113,
inference(avatar_split_clause,[],[f590,f1872]) ).
fof(f1872,plain,
( spl0_113
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f590,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1870,plain,
spl0_112,
inference(avatar_split_clause,[],[f589,f1868]) ).
fof(f1868,plain,
( spl0_112
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f589,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1866,plain,
spl0_111,
inference(avatar_split_clause,[],[f588,f1864]) ).
fof(f1864,plain,
( spl0_111
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f588,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1862,plain,
spl0_110,
inference(avatar_split_clause,[],[f587,f1860]) ).
fof(f1860,plain,
( spl0_110
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f587,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1858,plain,
spl0_109,
inference(avatar_split_clause,[],[f583,f1856]) ).
fof(f1856,plain,
( spl0_109
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f583,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1854,plain,
spl0_108,
inference(avatar_split_clause,[],[f582,f1852]) ).
fof(f1852,plain,
( spl0_108
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f582,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1850,plain,
spl0_107,
inference(avatar_split_clause,[],[f581,f1848]) ).
fof(f1848,plain,
( spl0_107
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f581,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1846,plain,
spl0_106,
inference(avatar_split_clause,[],[f580,f1844]) ).
fof(f1844,plain,
( spl0_106
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f580,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1842,plain,
spl0_105,
inference(avatar_split_clause,[],[f573,f1840]) ).
fof(f1840,plain,
( spl0_105
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f573,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1838,plain,
spl0_104,
inference(avatar_split_clause,[],[f572,f1836]) ).
fof(f1836,plain,
( spl0_104
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f572,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1834,plain,
spl0_103,
inference(avatar_split_clause,[],[f571,f1832]) ).
fof(f1832,plain,
( spl0_103
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f571,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1830,plain,
spl0_102,
inference(avatar_split_clause,[],[f570,f1828]) ).
fof(f1828,plain,
( spl0_102
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f570,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1826,plain,
spl0_101,
inference(avatar_split_clause,[],[f569,f1824]) ).
fof(f1824,plain,
( spl0_101
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f569,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1822,plain,
spl0_100,
inference(avatar_split_clause,[],[f568,f1820]) ).
fof(f1820,plain,
( spl0_100
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f568,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1818,plain,
spl0_99,
inference(avatar_split_clause,[],[f564,f1816]) ).
fof(f1816,plain,
( spl0_99
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f564,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1814,plain,
spl0_98,
inference(avatar_split_clause,[],[f563,f1812]) ).
fof(f1812,plain,
( spl0_98
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f563,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1810,plain,
spl0_97,
inference(avatar_split_clause,[],[f562,f1808]) ).
fof(f1808,plain,
( spl0_97
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f562,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1806,plain,
spl0_96,
inference(avatar_split_clause,[],[f561,f1804]) ).
fof(f1804,plain,
( spl0_96
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f561,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1802,plain,
spl0_95,
inference(avatar_split_clause,[],[f554,f1800]) ).
fof(f1800,plain,
( spl0_95
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f554,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1798,plain,
spl0_94,
inference(avatar_split_clause,[],[f552,f1796]) ).
fof(f1796,plain,
( spl0_94
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f552,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1794,plain,
spl0_93,
inference(avatar_split_clause,[],[f551,f1792]) ).
fof(f1792,plain,
( spl0_93
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f551,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1790,plain,
spl0_92,
inference(avatar_split_clause,[],[f550,f1788]) ).
fof(f1788,plain,
( spl0_92
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f550,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1786,plain,
spl0_91,
inference(avatar_split_clause,[],[f545,f1784]) ).
fof(f1784,plain,
( spl0_91
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f545,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1782,plain,
spl0_90,
inference(avatar_split_clause,[],[f544,f1780]) ).
fof(f1780,plain,
( spl0_90
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f544,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1778,plain,
spl0_89,
inference(avatar_split_clause,[],[f543,f1776]) ).
fof(f1776,plain,
( spl0_89
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f543,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1774,plain,
spl0_88,
inference(avatar_split_clause,[],[f542,f1772]) ).
fof(f1772,plain,
( spl0_88
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f542,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1770,plain,
spl0_87,
inference(avatar_split_clause,[],[f541,f1768]) ).
fof(f1768,plain,
( spl0_87
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f541,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1766,plain,
spl0_86,
inference(avatar_split_clause,[],[f536,f1764]) ).
fof(f1764,plain,
( spl0_86
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f536,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1762,plain,
spl0_85,
inference(avatar_split_clause,[],[f535,f1760]) ).
fof(f1760,plain,
( spl0_85
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f535,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1758,plain,
spl0_84,
inference(avatar_split_clause,[],[f534,f1756]) ).
fof(f1756,plain,
( spl0_84
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f534,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1754,plain,
spl0_83,
inference(avatar_split_clause,[],[f533,f1752]) ).
fof(f1752,plain,
( spl0_83
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f533,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1750,plain,
spl0_82,
inference(avatar_split_clause,[],[f532,f1748]) ).
fof(f1748,plain,
( spl0_82
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f532,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1746,plain,
spl0_81,
inference(avatar_split_clause,[],[f531,f1744]) ).
fof(f1744,plain,
( spl0_81
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f531,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1742,plain,
spl0_80,
inference(avatar_split_clause,[],[f530,f1740]) ).
fof(f1740,plain,
( spl0_80
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f530,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1738,plain,
spl0_79,
inference(avatar_split_clause,[],[f526,f1736]) ).
fof(f1736,plain,
( spl0_79
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f526,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1734,plain,
spl0_78,
inference(avatar_split_clause,[],[f525,f1732]) ).
fof(f1732,plain,
( spl0_78
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f525,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1730,plain,
spl0_77,
inference(avatar_split_clause,[],[f524,f1728]) ).
fof(f1728,plain,
( spl0_77
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Olorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f524,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1726,plain,
spl0_76,
inference(avatar_split_clause,[],[f517,f1724]) ).
fof(f1724,plain,
( spl0_76
<=> ! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f517,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1722,plain,
spl0_75,
inference(avatar_split_clause,[],[f458,f1720]) ).
fof(f1720,plain,
( spl0_75
<=> ! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f458,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1718,plain,
spl0_74,
inference(avatar_split_clause,[],[f457,f1716]) ).
fof(f1716,plain,
( spl0_74
<=> ! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f457,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1714,plain,
spl0_73,
inference(avatar_split_clause,[],[f456,f1712]) ).
fof(f1712,plain,
( spl0_73
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f456,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1710,plain,
spl0_72,
inference(avatar_split_clause,[],[f455,f1708]) ).
fof(f1708,plain,
( spl0_72
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f455,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1706,plain,
spl0_71,
inference(avatar_split_clause,[],[f454,f1704]) ).
fof(f1704,plain,
( spl0_71
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f454,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1702,plain,
spl0_70,
inference(avatar_split_clause,[],[f453,f1700]) ).
fof(f1700,plain,
( spl0_70
<=> ! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Omeet__semilorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f453,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1698,plain,
spl0_69,
inference(avatar_split_clause,[],[f452,f1696]) ).
fof(f1696,plain,
( spl0_69
<=> ! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oorder(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f452,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1694,plain,
spl0_68,
inference(avatar_split_clause,[],[f451,f1692]) ).
fof(f1692,plain,
( spl0_68
<=> ! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oord(X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f451,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1690,plain,
spl0_67,
inference(avatar_split_clause,[],[f296,f1688]) ).
fof(f296,axiom,
! [X2,X0] : c_in(X0,c_UNIV,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1686,plain,
spl0_66,
inference(avatar_split_clause,[],[f264,f1684]) ).
fof(f1684,plain,
( spl0_66
<=> ! [X18] : ~ c_less(X18,X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f264,axiom,
! [X18] : ~ c_less(X18,X18,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1682,plain,
spl0_65,
inference(avatar_split_clause,[],[f262,f1680]) ).
fof(f1680,plain,
( spl0_65
<=> ! [X18] : c_lessequals(c_0,X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f262,axiom,
! [X18] : c_lessequals(c_0,X18,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1678,plain,
spl0_64,
inference(avatar_split_clause,[],[f238,f1676]) ).
fof(f238,axiom,
! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1674,plain,
spl0_63,
inference(avatar_split_clause,[],[f237,f1672]) ).
fof(f237,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1670,plain,
spl0_62,
inference(avatar_split_clause,[],[f221,f1668]) ).
fof(f1668,plain,
( spl0_62
<=> ! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f221,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1666,plain,
spl0_61,
inference(avatar_split_clause,[],[f174,f1664]) ).
fof(f174,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f1662,plain,
spl0_60,
inference(avatar_split_clause,[],[f120,f1660]) ).
fof(f120,axiom,
! [X18] : ~ c_less(X18,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f1658,plain,
spl0_59,
inference(avatar_split_clause,[],[f115,f1655]) ).
fof(f115,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f1653,plain,
spl0_58,
inference(avatar_split_clause,[],[f103,f1651]) ).
fof(f1651,plain,
( spl0_58
<=> ! [X12] : c_0 != c_Suc(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f103,axiom,
! [X12] : c_0 != c_Suc(X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f1649,plain,
spl0_57,
inference(avatar_split_clause,[],[f1365,f1646]) ).
fof(f1365,axiom,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1644,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f1366,f1641]) ).
fof(f1366,axiom,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1639,plain,
spl0_55,
inference(avatar_split_clause,[],[f447,f1637]) ).
fof(f1637,plain,
( spl0_55
<=> ! [X51] : class_Orderings_Oorder(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f447,axiom,
! [X51] : class_Orderings_Oorder(tc_set(X51)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1635,plain,
spl0_54,
inference(avatar_split_clause,[],[f446,f1633]) ).
fof(f1633,plain,
( spl0_54
<=> ! [X51] : class_Orderings_Oord(tc_set(X51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f446,axiom,
! [X51] : class_Orderings_Oord(tc_set(X51)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1631,plain,
spl0_53,
inference(avatar_split_clause,[],[f324,f1628]) ).
fof(f1628,plain,
( spl0_53
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f324,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1626,plain,
spl0_52,
inference(avatar_split_clause,[],[f322,f1623]) ).
fof(f1623,plain,
( spl0_52
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f322,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1621,plain,
spl0_51,
inference(avatar_split_clause,[],[f321,f1619]) ).
fof(f1619,plain,
( spl0_51
<=> ! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f321,axiom,
! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1617,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f166,f1614]) ).
fof(f1614,plain,
( spl0_50
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f166,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1612,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f121,f1609]) ).
fof(f1609,plain,
( spl0_49
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f121,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1607,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f30,f1604]) ).
fof(f1604,plain,
( spl0_48
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f30,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1602,plain,
spl0_47,
inference(avatar_split_clause,[],[f442,f1599]) ).
fof(f1599,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f442,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1597,plain,
spl0_46,
inference(avatar_split_clause,[],[f441,f1594]) ).
fof(f1594,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f441,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1592,plain,
spl0_45,
inference(avatar_split_clause,[],[f440,f1589]) ).
fof(f1589,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f440,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1587,plain,
spl0_44,
inference(avatar_split_clause,[],[f439,f1584]) ).
fof(f1584,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f439,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1582,plain,
spl0_43,
inference(avatar_split_clause,[],[f434,f1579]) ).
fof(f1579,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f434,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1577,plain,
spl0_42,
inference(avatar_split_clause,[],[f433,f1574]) ).
fof(f1574,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f433,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1572,plain,
spl0_41,
inference(avatar_split_clause,[],[f432,f1569]) ).
fof(f1569,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f432,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1567,plain,
spl0_40,
inference(avatar_split_clause,[],[f431,f1564]) ).
fof(f1564,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f431,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1562,plain,
spl0_39,
inference(avatar_split_clause,[],[f430,f1559]) ).
fof(f1559,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f430,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1557,plain,
spl0_38,
inference(avatar_split_clause,[],[f429,f1554]) ).
fof(f1554,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f429,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1552,plain,
spl0_37,
inference(avatar_split_clause,[],[f428,f1549]) ).
fof(f1549,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f428,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1547,plain,
spl0_36,
inference(avatar_split_clause,[],[f427,f1544]) ).
fof(f1544,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f427,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1542,plain,
spl0_35,
inference(avatar_split_clause,[],[f426,f1539]) ).
fof(f1539,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f426,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1537,plain,
spl0_34,
inference(avatar_split_clause,[],[f425,f1534]) ).
fof(f1534,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f425,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1532,plain,
spl0_33,
inference(avatar_split_clause,[],[f424,f1529]) ).
fof(f1529,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f424,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1527,plain,
spl0_32,
inference(avatar_split_clause,[],[f423,f1524]) ).
fof(f1524,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f423,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1522,plain,
spl0_31,
inference(avatar_split_clause,[],[f419,f1519]) ).
fof(f1519,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f419,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1517,plain,
spl0_30,
inference(avatar_split_clause,[],[f408,f1514]) ).
fof(f1514,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f408,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1512,plain,
spl0_29,
inference(avatar_split_clause,[],[f393,f1509]) ).
fof(f1509,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f393,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1507,plain,
spl0_28,
inference(avatar_split_clause,[],[f392,f1504]) ).
fof(f1504,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f392,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1502,plain,
spl0_27,
inference(avatar_split_clause,[],[f381,f1499]) ).
fof(f1499,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f381,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1497,plain,
spl0_26,
inference(avatar_split_clause,[],[f379,f1494]) ).
fof(f1494,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f379,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1492,plain,
spl0_25,
inference(avatar_split_clause,[],[f378,f1489]) ).
fof(f1489,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f378,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1487,plain,
spl0_24,
inference(avatar_split_clause,[],[f376,f1484]) ).
fof(f1484,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f376,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1482,plain,
spl0_23,
inference(avatar_split_clause,[],[f375,f1479]) ).
fof(f1479,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f375,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1477,plain,
spl0_22,
inference(avatar_split_clause,[],[f374,f1474]) ).
fof(f1474,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f374,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1472,plain,
spl0_21,
inference(avatar_split_clause,[],[f373,f1469]) ).
fof(f1469,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f373,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1467,plain,
spl0_20,
inference(avatar_split_clause,[],[f372,f1464]) ).
fof(f1464,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f372,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1462,plain,
spl0_19,
inference(avatar_split_clause,[],[f371,f1459]) ).
fof(f1459,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f371,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1457,plain,
spl0_18,
inference(avatar_split_clause,[],[f370,f1454]) ).
fof(f1454,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f370,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1452,plain,
spl0_17,
inference(avatar_split_clause,[],[f369,f1449]) ).
fof(f1449,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1447,plain,
spl0_16,
inference(avatar_split_clause,[],[f368,f1444]) ).
fof(f1444,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f368,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1442,plain,
spl0_15,
inference(avatar_split_clause,[],[f367,f1439]) ).
fof(f1439,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f367,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1437,plain,
spl0_14,
inference(avatar_split_clause,[],[f366,f1434]) ).
fof(f1434,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f366,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1432,plain,
spl0_13,
inference(avatar_split_clause,[],[f365,f1429]) ).
fof(f1429,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f365,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1427,plain,
spl0_12,
inference(avatar_split_clause,[],[f364,f1424]) ).
fof(f1424,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f364,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1422,plain,
spl0_11,
inference(avatar_split_clause,[],[f363,f1419]) ).
fof(f1419,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f363,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1417,plain,
spl0_10,
inference(avatar_split_clause,[],[f362,f1414]) ).
fof(f1414,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f362,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1412,plain,
spl0_9,
inference(avatar_split_clause,[],[f360,f1409]) ).
fof(f1409,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f360,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1407,plain,
spl0_8,
inference(avatar_split_clause,[],[f359,f1404]) ).
fof(f1404,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f359,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1402,plain,
spl0_7,
inference(avatar_split_clause,[],[f358,f1399]) ).
fof(f1399,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f358,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1397,plain,
spl0_6,
inference(avatar_split_clause,[],[f357,f1394]) ).
fof(f1394,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f357,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1392,plain,
spl0_5,
inference(avatar_split_clause,[],[f356,f1389]) ).
fof(f1389,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f356,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1387,plain,
spl0_4,
inference(avatar_split_clause,[],[f355,f1384]) ).
fof(f1384,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f355,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1382,plain,
spl0_3,
inference(avatar_split_clause,[],[f354,f1379]) ).
fof(f1379,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f354,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1377,plain,
spl0_2,
inference(avatar_split_clause,[],[f353,f1374]) ).
fof(f1374,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f353,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1372,plain,
spl0_1,
inference(avatar_split_clause,[],[f352,f1369]) ).
fof(f1369,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:28:50 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (10873)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (10876)WARNING: value z3 for option sas not known
% 0.22/0.41 % (10874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (10878)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)
% 0.22/0.41 % (10876)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)
% 0.22/0.41 % (10877)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (10880)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)
% 0.22/0.41 % (10879)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)
% 0.22/0.41 % (10875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.45 TRYING [1]
% 0.22/0.46 TRYING [2]
% 1.17/0.58 TRYING [3]
% 1.76/0.64 TRYING [1]
% 1.76/0.67 % (10878)First to succeed.
% 1.76/0.67 TRYING [2]
% 2.13/0.69 % (10878)Refutation found. Thanks to Tanya!
% 2.13/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.13/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.70 % (10878)------------------------------
% 2.13/0.70 % (10878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.13/0.70 % (10878)Termination reason: Refutation
% 2.13/0.70
% 2.13/0.70 % (10878)Memory used [KB]: 6131
% 2.13/0.70 % (10878)Time elapsed: 0.277 s
% 2.13/0.70 % (10878)Instructions burned: 684 (million)
% 2.13/0.70 % (10878)------------------------------
% 2.13/0.70 % (10878)------------------------------
% 2.13/0.70 % (10873)Success in time 0.329 s
%------------------------------------------------------------------------------