TSTP Solution File: SWV240-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV240-1 : 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 : n010.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 : Sun May 5 10:47:35 EDT 2024
% Result : Unsatisfiable 1.35s 0.61s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1307
% Syntax : Number of formulae : 2263 ( 721 unt; 0 def)
% Number of atoms : 4893 ( 449 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 4530 (1900 ~;1917 |; 0 &)
% ( 713 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 751 ( 749 usr; 714 prp; 0-3 aty)
% Number of functors : 137 ( 137 usr; 22 con; 0-6 aty)
% Number of variables : 3340 (3340 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6820,plain,
$false,
inference(avatar_sat_refutation,[],[f1406,f1411,f1416,f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1531,f1536,f1541,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1581,f1586,f1591,f1596,f1601,f1606,f1611,f1616,f1621,f1626,f1631,f1636,f1640,f1645,f1650,f1654,f1658,f1663,f1668,f1673,f1678,f1683,f1687,f1691,f1695,f1699,f1703,f1707,f1711,f1715,f1719,f1723,f1727,f1731,f1735,f1739,f1743,f1747,f1751,f1755,f1759,f1763,f1767,f1771,f1775,f1779,f1783,f1787,f1791,f1795,f1799,f1803,f1807,f1811,f1815,f1819,f1823,f1827,f1831,f1835,f1839,f1843,f1847,f1851,f1855,f1859,f1863,f1867,f1871,f1875,f1879,f1883,f1887,f1891,f1895,f1899,f1903,f1907,f1911,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1951,f1955,f1959,f1963,f1967,f1971,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2067,f2071,f2075,f2079,f2083,f2087,f2091,f2095,f2099,f2103,f2107,f2111,f2115,f2119,f2123,f2127,f2131,f2135,f2139,f2143,f2147,f2151,f2155,f2159,f2163,f2167,f2171,f2175,f2179,f2183,f2187,f2191,f2195,f2199,f2203,f2207,f2211,f2215,f2219,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2267,f2271,f2275,f2279,f2283,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2331,f2335,f2339,f2343,f2347,f2351,f2355,f2359,f2363,f2367,f2371,f2375,f2379,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2435,f2439,f2443,f2447,f2451,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2491,f2495,f2499,f2503,f2507,f2511,f2515,f2519,f2523,f2527,f2531,f2535,f2539,f2543,f2547,f2551,f2555,f2559,f2563,f2567,f2572,f2576,f2580,f2584,f2588,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2936,f2940,f2944,f2948,f2952,f2956,f2960,f2964,f2968,f2972,f2976,f2981,f2985,f2989,f2993,f2997,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3029,f3033,f3037,f3041,f3045,f3049,f3053,f3057,f3061,f3081,f3085,f3089,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3137,f3141,f3145,f3149,f3153,f3157,f3161,f3165,f3169,f3173,f3177,f3181,f3185,f3189,f3208,f3212,f3216,f3220,f3226,f3230,f3234,f3238,f3242,f3246,f3250,f3254,f3258,f3262,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3358,f3362,f3366,f3370,f3374,f3378,f3382,f3386,f3390,f3394,f3398,f3402,f3406,f3410,f3414,f3418,f3422,f3451,f3466,f3470,f3474,f3478,f3482,f3486,f3490,f3494,f3498,f3502,f3506,f3510,f3514,f3518,f3522,f3526,f3530,f3534,f3556,f3564,f3568,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3604,f3608,f3612,f3616,f3620,f3624,f3628,f3632,f3636,f3640,f3652,f3656,f3660,f3664,f3668,f3672,f3676,f3680,f3684,f3688,f3700,f3704,f3708,f3712,f3716,f3720,f3724,f3728,f3734,f3769,f3806,f3815,f3819,f3823,f3827,f3831,f3835,f3839,f3843,f3847,f3851,f3855,f3859,f3863,f3867,f3871,f3875,f3895,f3908,f3912,f3916,f3920,f3924,f3928,f3932,f3936,f3940,f3944,f3948,f3952,f3956,f3960,f3964,f4017,f4027,f4031,f4035,f4039,f4043,f4047,f4051,f4055,f4059,f4063,f4067,f4071,f4075,f4079,f4083,f4087,f4091,f4095,f4101,f4191,f4195,f4199,f4203,f4207,f4211,f4215,f4219,f4223,f4227,f4231,f4269,f4273,f4277,f4281,f4285,f4289,f4293,f4297,f4301,f4305,f4309,f4313,f4320,f4324,f4328,f4332,f4336,f4340,f4371,f4414,f4421,f4425,f4429,f4433,f4437,f4441,f4445,f4454,f4481,f4485,f4489,f4493,f4497,f4503,f4507,f4531,f4536,f4540,f4544,f4548,f4552,f4556,f4560,f4564,f4568,f4577,f4660,f4664,f4697,f4701,f4705,f4709,f4713,f4798,f4802,f4806,f4810,f4814,f4818,f4836,f4843,f4847,f4851,f4855,f4859,f4904,f4908,f4912,f4930,f4937,f4943,f4947,f4959,f4971,f4975,f4979,f4999,f5003,f5007,f5079,f5083,f5090,f5094,f5098,f5140,f5156,f5174,f5178,f5244,f5248,f5274,f5287,f5302,f5306,f5332,f5336,f5351,f5365,f5384,f5388,f5393,f5398,f5402,f5406,f5410,f5450,f5550,f5556,f5560,f5564,f5568,f5572,f5576,f5580,f5584,f5588,f5592,f5596,f5600,f5715,f5767,f5771,f5775,f5779,f5783,f5787,f5791,f5795,f5799,f5803,f5807,f5811,f5983,f5987,f6000,f6004,f6008,f6012,f6016,f6020,f6024,f6028,f6032,f6036,f6052,f6069,f6099,f6103,f6107,f6111,f6115,f6119,f6127,f6131,f6135,f6139,f6143,f6147,f6244,f6332,f6336,f6340,f6344,f6348,f6352,f6356,f6451,f6455,f6459,f6463,f6467,f6471,f6475,f6479,f6483,f6487,f6491,f6495,f6499,f6702,f6706,f6710,f6714,f6718,f6722,f6726,f6730,f6809,f6813,f6819]) ).
fof(f6819,plain,
( spl0_594
| ~ spl0_691 ),
inference(avatar_contradiction_clause,[],[f6818]) ).
fof(f6818,plain,
( $false
| spl0_594
| ~ spl0_691 ),
inference(resolution,[],[f6450,f4929]) ).
fof(f4929,plain,
( ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))
| spl0_594 ),
inference(avatar_component_clause,[],[f4927]) ).
fof(f4927,plain,
( spl0_594
<=> c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f6450,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ spl0_691 ),
inference(avatar_component_clause,[],[f6449]) ).
fof(f6449,plain,
( spl0_691
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f6813,plain,
( spl0_713
| ~ spl0_409
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3739,f3574,f3488,f6811]) ).
fof(f6811,plain,
( spl0_713
<=> ! [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_713])]) ).
fof(f3488,plain,
( spl0_409
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f3574,plain,
( spl0_425
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f3739,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_409
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3489]) ).
fof(f3489,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_inter(X12,X13,X1),X1)
| c_in(X4,X13,X1) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f3575,plain,
( ! [X1,X12,X13] :
( c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f3574]) ).
fof(f6809,plain,
( spl0_712
| ~ spl0_410
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3738,f3574,f3492,f6807]) ).
fof(f6807,plain,
( spl0_712
<=> ! [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_712])]) ).
fof(f3492,plain,
( spl0_410
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f3738,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_410
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3493]) ).
fof(f3493,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_inter(X12,X13,X1),X1)
| c_in(X4,X12,X1) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f3492]) ).
fof(f6730,plain,
( spl0_711
| ~ spl0_492
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4761,f4703,f3958,f6728]) ).
fof(f6728,plain,
( spl0_711
<=> ! [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_711])]) ).
fof(f3958,plain,
( spl0_492
<=> ! [X0,X3] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f4703,plain,
( spl0_575
<=> ! [X12,X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f4761,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_492
| ~ spl0_575 ),
inference(resolution,[],[f4704,f3959]) ).
fof(f3959,plain,
( ! [X3,X0] :
( ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X0,X3,tc_nat) )
| ~ spl0_492 ),
inference(avatar_component_clause,[],[f3958]) ).
fof(f4704,plain,
( ! [X2,X1,X27,X5,X12] :
( c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1) )
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f4703]) ).
fof(f6726,plain,
( spl0_710
| ~ spl0_374
| ~ spl0_552 ),
inference(avatar_split_clause,[],[f4474,f4452,f3294,f6724]) ).
fof(f6724,plain,
( spl0_710
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X0,c_union(X2,X1,tc_Message_Omsg),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f3294,plain,
( spl0_374
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f4452,plain,
( spl0_552
<=> ! [X20,X55,X4] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f4474,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X0,c_union(X2,X1,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_374
| ~ spl0_552 ),
inference(resolution,[],[f4453,f3295]) ).
fof(f3295,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f3294]) ).
fof(f4453,plain,
( ! [X55,X4,X20] :
( ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg) )
| ~ spl0_552 ),
inference(avatar_component_clause,[],[f4452]) ).
fof(f6722,plain,
( spl0_709
| ~ spl0_451
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4164,f4089,f3698,f6720]) ).
fof(f6720,plain,
( spl0_709
<=> ! [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_709])]) ).
fof(f3698,plain,
( spl0_451
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f4089,plain,
( spl0_511
<=> ! [X53,X12,X32,X1] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f4164,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_451
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3699]) ).
fof(f3699,plain,
( ! [X1,X12,X13] :
( c_in(X12,c_Pow(X13,X1),tc_set(X1))
| ~ c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f3698]) ).
fof(f4090,plain,
( ! [X1,X53,X12,X32] :
( ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,X53,X1)
| c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_511 ),
inference(avatar_component_clause,[],[f4089]) ).
fof(f6718,plain,
( spl0_708
| ~ spl0_418
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3745,f3574,f3524,f6716]) ).
fof(f6716,plain,
( spl0_708
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f3524,plain,
( spl0_418
<=> ! [X53,X55] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f3745,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_418
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3525]) ).
fof(f3525,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f3524]) ).
fof(f6714,plain,
( spl0_707
| ~ spl0_417
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3743,f3574,f3520,f6712]) ).
fof(f6712,plain,
( spl0_707
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f3520,plain,
( spl0_417
<=> ! [X53,X55] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f3743,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg) )
| ~ spl0_417
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3521]) ).
fof(f3521,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f3520]) ).
fof(f6710,plain,
( spl0_706
| ~ spl0_420
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3742,f3574,f3532,f6708]) ).
fof(f6708,plain,
( spl0_706
<=> ! [X0,X1] :
( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f3532,plain,
( spl0_420
<=> ! [X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f3742,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg) )
| ~ spl0_420
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3533]) ).
fof(f3533,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f3532]) ).
fof(f6706,plain,
( spl0_705
| ~ spl0_403
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3741,f3574,f3464,f6704]) ).
fof(f6704,plain,
( spl0_705
<=> ! [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_705])]) ).
fof(f3464,plain,
( spl0_403
<=> ! [X0,X1,X40] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f3741,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_403
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3465]) ).
fof(f3465,plain,
( ! [X40,X0,X1] :
( ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1)
| c_Datatype_Ooption_OSome(X0,X1) = X40 )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f6702,plain,
( spl0_704
| ~ spl0_378
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3737,f3574,f3328,f6700]) ).
fof(f6700,plain,
( spl0_704
<=> ! [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_704])]) ).
fof(f3328,plain,
( spl0_378
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f3737,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_378
| ~ spl0_425 ),
inference(resolution,[],[f3575,f3329]) ).
fof(f3329,plain,
( ! [X18,X1,X27] :
( ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1)
| X18 = X27 )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f6499,plain,
( spl0_703
| ~ spl0_281
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5217,f5176,f2578,f6497]) ).
fof(f6497,plain,
( spl0_703
<=> ! [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_703])]) ).
fof(f2578,plain,
( spl0_281
<=> ! [X18,X1] : ~ c_in(X18,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f5176,plain,
( spl0_612
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f5217,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_281
| ~ spl0_612 ),
inference(resolution,[],[f5177,f2579]) ).
fof(f2579,plain,
( ! [X18,X1] : ~ c_in(X18,c_emptyset,X1)
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f5177,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f5176]) ).
fof(f6495,plain,
( spl0_702
| ~ spl0_425
| ~ spl0_673 ),
inference(avatar_split_clause,[],[f6238,f6105,f3574,f6493]) ).
fof(f6493,plain,
( spl0_702
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f6105,plain,
( spl0_673
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f6238,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ spl0_425
| ~ spl0_673 ),
inference(duplicate_literal_removal,[],[f6208]) ).
fof(f6208,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) )
| ~ spl0_425
| ~ spl0_673 ),
inference(resolution,[],[f6106,f3575]) ).
fof(f6106,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_673 ),
inference(avatar_component_clause,[],[f6105]) ).
fof(f6491,plain,
( spl0_701
| ~ spl0_281
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5186,f5172,f2578,f6489]) ).
fof(f6489,plain,
( spl0_701
<=> ! [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_701])]) ).
fof(f5172,plain,
( spl0_611
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f5186,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_281
| ~ spl0_611 ),
inference(resolution,[],[f5173,f2579]) ).
fof(f5173,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_611 ),
inference(avatar_component_clause,[],[f5172]) ).
fof(f6487,plain,
( spl0_700
| ~ spl0_476
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4760,f4703,f3869,f6485]) ).
fof(f6485,plain,
( spl0_700
<=> ! [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_700])]) ).
fof(f3869,plain,
( spl0_476
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f4760,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_476
| ~ spl0_575 ),
inference(resolution,[],[f4704,f3870]) ).
fof(f3870,plain,
( ! [X18,X1,X27] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| X18 = X27 )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f3869]) ).
fof(f6483,plain,
( spl0_699
| ~ spl0_493
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4668,f4658,f3962,f6481]) ).
fof(f6481,plain,
( spl0_699
<=> ! [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_699])]) ).
fof(f3962,plain,
( spl0_493
<=> ! [X0,X3] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f4658,plain,
( spl0_571
<=> ! [X5,X18,X12,X27,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f4668,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_493
| ~ spl0_571 ),
inference(resolution,[],[f4659,f3963]) ).
fof(f3963,plain,
( ! [X3,X0] :
( c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X0,X3,tc_nat) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f3962]) ).
fof(f4659,plain,
( ! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(X18,X12,X1) )
| ~ spl0_571 ),
inference(avatar_component_clause,[],[f4658]) ).
fof(f6479,plain,
( spl0_698
| ~ spl0_317
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4397,f4311,f3031,f6477]) ).
fof(f6477,plain,
( spl0_698
<=> ! [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_698])]) ).
fof(f3031,plain,
( spl0_317
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f4311,plain,
( spl0_536
<=> ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f4397,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_317
| ~ spl0_536 ),
inference(resolution,[],[f4312,f3032]) ).
fof(f3032,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_nat)
| c_0 = X15 )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f3031]) ).
fof(f4312,plain,
( ! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X21,tc_nat) )
| ~ spl0_536 ),
inference(avatar_component_clause,[],[f4311]) ).
fof(f6475,plain,
( spl0_697
| ~ spl0_324
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4379,f4291,f3059,f6473]) ).
fof(f6473,plain,
( spl0_697
<=> ! [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_697])]) ).
fof(f3059,plain,
( spl0_324
<=> ! [X13,X0,X1] : c_in(X0,c_insert(X0,X13,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f4291,plain,
( spl0_531
<=> ! [X5,X18,X27,X2,X1] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f4379,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_324
| ~ spl0_531 ),
inference(resolution,[],[f4292,f3060]) ).
fof(f3060,plain,
( ! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1)
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f3059]) ).
fof(f4292,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_ORange(X5,X1,X2),X2) )
| ~ spl0_531 ),
inference(avatar_component_clause,[],[f4291]) ).
fof(f6471,plain,
( spl0_696
| ~ spl0_324
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4350,f4279,f3059,f6469]) ).
fof(f6469,plain,
( spl0_696
<=> ! [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_696])]) ).
fof(f4279,plain,
( spl0_528
<=> ! [X18,X5,X27,X2,X1] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f4350,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_324
| ~ spl0_528 ),
inference(resolution,[],[f4280,f3060]) ).
fof(f4280,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_528 ),
inference(avatar_component_clause,[],[f4279]) ).
fof(f6467,plain,
( spl0_695
| ~ spl0_339
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4163,f4089,f3135,f6465]) ).
fof(f6465,plain,
( spl0_695
<=> ! [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_695])]) ).
fof(f3135,plain,
( spl0_339
<=> ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f4163,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_339
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3136]) ).
fof(f3136,plain,
( ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1)
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f3135]) ).
fof(f6463,plain,
( spl0_694
| ~ spl0_374
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3981,f3914,f3294,f6461]) ).
fof(f6461,plain,
( spl0_694
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oparts(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oparts(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f3914,plain,
( spl0_481
<=> ! [X12,X1,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f3981,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oparts(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oparts(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_374
| ~ spl0_481 ),
inference(resolution,[],[f3915,f3295]) ).
fof(f3915,plain,
( ! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f3914]) ).
fof(f6459,plain,
( spl0_693
| ~ spl0_373
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3980,f3914,f3290,f6457]) ).
fof(f6457,plain,
( spl0_693
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oanalz(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oanalz(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3290,plain,
( spl0_373
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f3980,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oanalz(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oanalz(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_373
| ~ spl0_481 ),
inference(resolution,[],[f3915,f3291]) ).
fof(f3291,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f6455,plain,
( spl0_692
| ~ spl0_375
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3979,f3914,f3298,f6453]) ).
fof(f6453,plain,
( spl0_692
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f3298,plain,
( spl0_375
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f3979,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_375
| ~ spl0_481 ),
inference(resolution,[],[f3915,f3299]) ).
fof(f3299,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f3298]) ).
fof(f6451,plain,
( spl0_691
| ~ spl0_425
| ~ spl0_672 ),
inference(avatar_split_clause,[],[f6207,f6101,f3574,f6449]) ).
fof(f6101,plain,
( spl0_672
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f6207,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ spl0_425
| ~ spl0_672 ),
inference(duplicate_literal_removal,[],[f6178]) ).
fof(f6178,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) )
| ~ spl0_425
| ~ spl0_672 ),
inference(resolution,[],[f6102,f3575]) ).
fof(f6102,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_672 ),
inference(avatar_component_clause,[],[f6101]) ).
fof(f6356,plain,
( spl0_690
| ~ spl0_531
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4763,f4703,f4291,f6354]) ).
fof(f6354,plain,
( spl0_690
<=> ! [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_690])]) ).
fof(f4763,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_531
| ~ spl0_575 ),
inference(resolution,[],[f4704,f4292]) ).
fof(f6352,plain,
( spl0_689
| ~ spl0_492
| ~ spl0_565 ),
inference(avatar_split_clause,[],[f4609,f4550,f3958,f6350]) ).
fof(f6350,plain,
( spl0_689
<=> ! [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_689])]) ).
fof(f4550,plain,
( spl0_565
<=> ! [X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f4609,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_492
| ~ spl0_565 ),
inference(resolution,[],[f4551,f3959]) ).
fof(f4551,plain,
( ! [X2,X1,X27,X5] :
( c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1) )
| ~ spl0_565 ),
inference(avatar_component_clause,[],[f4550]) ).
fof(f6348,plain,
( spl0_688
| ~ spl0_492
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4584,f4546,f3958,f6346]) ).
fof(f6346,plain,
( spl0_688
<=> ! [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_688])]) ).
fof(f4546,plain,
( spl0_564
<=> ! [X18,X5,X2,X1] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f4584,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_492
| ~ spl0_564 ),
inference(resolution,[],[f4547,f3959]) ).
fof(f4547,plain,
( ! [X2,X18,X1,X5] :
( c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2))
| ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_564 ),
inference(avatar_component_clause,[],[f4546]) ).
fof(f6344,plain,
( spl0_687
| ~ spl0_300
| ~ spl0_547 ),
inference(avatar_split_clause,[],[f4463,f4427,f2962,f6342]) ).
fof(f6342,plain,
( spl0_687
<=> ! [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_687])]) ).
fof(f2962,plain,
( spl0_300
<=> ! [X25,X1] : c_append(c_List_Olist_ONil,X25,X1) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f4427,plain,
( spl0_547
<=> ! [X23,X0,X3,X25,X1] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f4463,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_300
| ~ spl0_547 ),
inference(superposition,[],[f4428,f2963]) ).
fof(f2963,plain,
( ! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f4428,plain,
( ! [X3,X0,X1,X25,X23] :
( c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 )
| ~ spl0_547 ),
inference(avatar_component_clause,[],[f4427]) ).
fof(f6340,plain,
( spl0_686
| ~ spl0_425
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6177,f6097,f3574,f6338]) ).
fof(f6338,plain,
( spl0_686
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f6097,plain,
( spl0_671
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f6177,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ spl0_425
| ~ spl0_671 ),
inference(duplicate_literal_removal,[],[f6148]) ).
fof(f6148,plain,
( ! [X0] :
( c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) )
| ~ spl0_425
| ~ spl0_671 ),
inference(resolution,[],[f6098,f3575]) ).
fof(f6098,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_671 ),
inference(avatar_component_clause,[],[f6097]) ).
fof(f6336,plain,
( spl0_685
| ~ spl0_300
| ~ spl0_546 ),
inference(avatar_split_clause,[],[f4460,f4423,f2962,f6334]) ).
fof(f6334,plain,
( spl0_685
<=> ! [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_685])]) ).
fof(f4423,plain,
( spl0_546
<=> ! [X3,X0,X23,X25,X1] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f4460,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_300
| ~ spl0_546 ),
inference(superposition,[],[f4424,f2963]) ).
fof(f4424,plain,
( ! [X3,X0,X1,X25,X23] :
( c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X23 = X25 )
| ~ spl0_546 ),
inference(avatar_component_clause,[],[f4423]) ).
fof(f6332,plain,
( spl0_684
| ~ spl0_495
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4245,f4197,f4025,f6330]) ).
fof(f6330,plain,
( spl0_684
<=> ! [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_684])]) ).
fof(f4025,plain,
( spl0_495
<=> ! [X12,X1,X4] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f4197,plain,
( spl0_516
<=> ! [X12,X1,X18] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f4245,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_495
| ~ spl0_516 ),
inference(resolution,[],[f4198,f4026]) ).
fof(f4026,plain,
( ! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1) )
| ~ spl0_495 ),
inference(avatar_component_clause,[],[f4025]) ).
fof(f4198,plain,
( ! [X18,X1,X12] :
( c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| ~ c_in(X18,X12,X1) )
| ~ spl0_516 ),
inference(avatar_component_clause,[],[f4197]) ).
fof(f6244,plain,
( spl0_683
| ~ spl0_63
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6166,f6097,f1705,f6242]) ).
fof(f6242,plain,
( spl0_683
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f1705,plain,
( spl0_63
<=> ! [X0,X1] : c_in(X0,c_UNIV,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f6166,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg))
| ~ spl0_63
| ~ spl0_671 ),
inference(resolution,[],[f6098,f1706]) ).
fof(f1706,plain,
( ! [X0,X1] : c_in(X0,c_UNIV,X1)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f6147,plain,
( spl0_682
| ~ spl0_427
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4666,f4658,f3582,f6145]) ).
fof(f6145,plain,
( spl0_682
<=> ! [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_682])]) ).
fof(f3582,plain,
( spl0_427
<=> ! [X18,X5,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f4666,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_427
| ~ spl0_571 ),
inference(resolution,[],[f4659,f3583]) ).
fof(f3583,plain,
( ! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1))
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f3582]) ).
fof(f6143,plain,
( spl0_681
| ~ spl0_476
| ~ spl0_565 ),
inference(avatar_split_clause,[],[f4608,f4550,f3869,f6141]) ).
fof(f6141,plain,
( spl0_681
<=> ! [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_681])]) ).
fof(f4608,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_476
| ~ spl0_565 ),
inference(resolution,[],[f4551,f3870]) ).
fof(f6139,plain,
( spl0_680
| ~ spl0_476
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4583,f4546,f3869,f6137]) ).
fof(f6137,plain,
( spl0_680
<=> ! [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_680])]) ).
fof(f4583,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_476
| ~ spl0_564 ),
inference(resolution,[],[f4547,f3870]) ).
fof(f6135,plain,
( spl0_679
| ~ spl0_324
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4154,f4089,f3059,f6133]) ).
fof(f6133,plain,
( spl0_679
<=> ! [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_679])]) ).
fof(f4154,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_324
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3060]) ).
fof(f6131,plain,
( spl0_678
| ~ spl0_321
| ~ spl0_498 ),
inference(avatar_split_clause,[],[f4105,f4037,f3047,f6129]) ).
fof(f6129,plain,
( spl0_678
<=> ! [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_678])]) ).
fof(f3047,plain,
( spl0_321
<=> ! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f4037,plain,
( spl0_498
<=> ! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f4105,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_321
| ~ spl0_498 ),
inference(resolution,[],[f4038,f3048]) ).
fof(f3048,plain,
( ! [X21] :
( c_less(c_0,X21,tc_nat)
| c_0 = X21 )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f3047]) ).
fof(f4038,plain,
( ! [X21,X15] :
( ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat)
| c_less(c_0,X21,tc_nat)
| c_less(c_0,X15,tc_nat) )
| ~ spl0_498 ),
inference(avatar_component_clause,[],[f4037]) ).
fof(f6127,plain,
( spl0_677
| ~ spl0_354
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3903,f3865,f3210,f6125]) ).
fof(f6125,plain,
( spl0_677
<=> ! [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_677])]) ).
fof(f3210,plain,
( spl0_354
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f3865,plain,
( spl0_475
<=> ! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f3903,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_354
| ~ spl0_475 ),
inference(resolution,[],[f3866,f3211]) ).
fof(f3211,plain,
( ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat)
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f3866,plain,
( ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X16,X21,tc_nat) )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f3865]) ).
fof(f6119,plain,
( spl0_676
| ~ spl0_353
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3902,f3865,f3206,f6117]) ).
fof(f6117,plain,
( spl0_676
<=> ! [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_676])]) ).
fof(f3206,plain,
( spl0_353
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f3902,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_353
| ~ spl0_475 ),
inference(resolution,[],[f3866,f3207]) ).
fof(f3207,plain,
( ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat)
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f6115,plain,
( spl0_675
| ~ spl0_354
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f3900,f3861,f3210,f6113]) ).
fof(f6113,plain,
( spl0_675
<=> ! [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_675])]) ).
fof(f3861,plain,
( spl0_474
<=> ! [X16,X21,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f3900,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_354
| ~ spl0_474 ),
inference(resolution,[],[f3862,f3211]) ).
fof(f3862,plain,
( ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X16,X15,tc_nat) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f3861]) ).
fof(f6111,plain,
( spl0_674
| ~ spl0_353
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f3899,f3861,f3206,f6109]) ).
fof(f6109,plain,
( spl0_674
<=> ! [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_674])]) ).
fof(f3899,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_353
| ~ spl0_474 ),
inference(resolution,[],[f3862,f3207]) ).
fof(f6107,plain,
( spl0_673
| ~ spl0_374
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f3754,f3578,f3294,f6105]) ).
fof(f3578,plain,
( spl0_426
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f3754,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_374
| ~ spl0_426 ),
inference(resolution,[],[f3579,f3295]) ).
fof(f3579,plain,
( ! [X1,X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f6103,plain,
( spl0_672
| ~ spl0_373
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f3753,f3578,f3290,f6101]) ).
fof(f3753,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_373
| ~ spl0_426 ),
inference(resolution,[],[f3579,f3291]) ).
fof(f6099,plain,
( spl0_671
| ~ spl0_375
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f3752,f3578,f3298,f6097]) ).
fof(f3752,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_375
| ~ spl0_426 ),
inference(resolution,[],[f3579,f3299]) ).
fof(f6069,plain,
( spl0_670
| ~ spl0_60
| ~ spl0_646 ),
inference(avatar_split_clause,[],[f5823,f5769,f1693,f6067]) ).
fof(f6067,plain,
( spl0_670
<=> ! [X0] : c_Divides_Oop_Advd(c_uminus(c_1,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f1693,plain,
( spl0_60
<=> ! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f5769,plain,
( spl0_646
<=> ! [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_646])]) ).
fof(f5823,plain,
( ! [X0] : c_Divides_Oop_Advd(c_uminus(c_1,tc_IntDef_Oint),X0,tc_IntDef_Oint)
| ~ spl0_60
| ~ spl0_646 ),
inference(resolution,[],[f5770,f1694]) ).
fof(f1694,plain,
( ! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f5770,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_646 ),
inference(avatar_component_clause,[],[f5769]) ).
fof(f6052,plain,
( spl0_669
| ~ spl0_517
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4765,f4703,f4201,f6050]) ).
fof(f6050,plain,
( spl0_669
<=> ! [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_669])]) ).
fof(f4201,plain,
( spl0_517
<=> ! [X5,X1,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f4765,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_517
| ~ spl0_575 ),
inference(resolution,[],[f4704,f4202]) ).
fof(f4202,plain,
( ! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ spl0_517 ),
inference(avatar_component_clause,[],[f4201]) ).
fof(f6036,plain,
( spl0_668
| ~ spl0_516
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4377,f4291,f4197,f6034]) ).
fof(f6034,plain,
( spl0_668
<=> ! [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_668])]) ).
fof(f4377,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_516
| ~ spl0_531 ),
inference(resolution,[],[f4292,f4198]) ).
fof(f6032,plain,
( spl0_667
| ~ spl0_516
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4348,f4279,f4197,f6030]) ).
fof(f6030,plain,
( spl0_667
<=> ! [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_667])]) ).
fof(f4348,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_516
| ~ spl0_528 ),
inference(resolution,[],[f4280,f4198]) ).
fof(f6028,plain,
( spl0_666
| ~ spl0_334
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4182,f4089,f3115,f6026]) ).
fof(f6026,plain,
( spl0_666
<=> ! [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_666])]) ).
fof(f3115,plain,
( spl0_334
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f4182,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_334
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3116]) ).
fof(f3116,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f6024,plain,
( spl0_665
| ~ spl0_333
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4181,f4089,f3111,f6022]) ).
fof(f6022,plain,
( spl0_665
<=> ! [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_665])]) ).
fof(f3111,plain,
( spl0_333
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f4181,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_333
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3112]) ).
fof(f3112,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f6020,plain,
( spl0_664
| ~ spl0_332
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4180,f4089,f3107,f6018]) ).
fof(f6018,plain,
( spl0_664
<=> ! [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_664])]) ).
fof(f3107,plain,
( spl0_332
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f4180,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_332
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3108]) ).
fof(f3108,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f6016,plain,
( spl0_663
| ~ spl0_331
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4179,f4089,f3103,f6014]) ).
fof(f6014,plain,
( spl0_663
<=> ! [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_663])]) ).
fof(f3103,plain,
( spl0_331
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f4179,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_331
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3104]) ).
fof(f3104,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f3103]) ).
fof(f6012,plain,
( spl0_662
| ~ spl0_330
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4177,f4089,f3099,f6010]) ).
fof(f6010,plain,
( spl0_662
<=> ! [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_662])]) ).
fof(f3099,plain,
( spl0_330
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f4177,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_330
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3100]) ).
fof(f3100,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f6008,plain,
( spl0_661
| ~ spl0_329
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4176,f4089,f3095,f6006]) ).
fof(f6006,plain,
( spl0_661
<=> ! [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_661])]) ).
fof(f3095,plain,
( spl0_329
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f4176,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_329
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3096]) ).
fof(f3096,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f3095]) ).
fof(f6004,plain,
( spl0_660
| ~ spl0_328
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4175,f4089,f3091,f6002]) ).
fof(f6002,plain,
( spl0_660
<=> ! [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_660])]) ).
fof(f3091,plain,
( spl0_328
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f4175,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_328
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3092]) ).
fof(f3092,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f6000,plain,
( spl0_659
| ~ spl0_326
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4174,f4089,f3083,f5998]) ).
fof(f5998,plain,
( spl0_659
<=> ! [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_659])]) ).
fof(f3083,plain,
( spl0_326
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f4174,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_326
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3084]) ).
fof(f3084,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f5987,plain,
( spl0_658
| ~ spl0_380
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f3429,f3340,f3336,f5985]) ).
fof(f5985,plain,
( spl0_658
<=> ! [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_658])]) ).
fof(f3336,plain,
( spl0_380
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f3340,plain,
( spl0_381
<=> ! [X41,X1,X18] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f3429,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_380
| ~ spl0_381 ),
inference(superposition,[],[f3341,f3337]) ).
fof(f3337,plain,
( ! [X0,X1] :
( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f3341,plain,
( ! [X41,X1,X18] :
( c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1)
| X18 = X41 )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f5983,plain,
( spl0_657
| ~ spl0_379
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f3428,f3340,f3332,f5981]) ).
fof(f5981,plain,
( spl0_657
<=> ! [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_657])]) ).
fof(f3332,plain,
( spl0_379
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f3428,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_379
| ~ spl0_381 ),
inference(superposition,[],[f3341,f3333]) ).
fof(f3333,plain,
( ! [X0,X1] :
( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f5811,plain,
( spl0_656
| ~ spl0_63
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4682,f4658,f1705,f5809]) ).
fof(f5809,plain,
( spl0_656
<=> ! [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_656])]) ).
fof(f4682,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3)
| ~ c_in(X4,X1,X2) )
| ~ spl0_63
| ~ spl0_571 ),
inference(resolution,[],[f4659,f1706]) ).
fof(f5807,plain,
( spl0_655
| ~ spl0_397
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4665,f4658,f3404,f5805]) ).
fof(f5805,plain,
( spl0_655
<=> ! [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_655])]) ).
fof(f3404,plain,
( spl0_397
<=> ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f4665,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_397
| ~ spl0_571 ),
inference(resolution,[],[f4659,f3405]) ).
fof(f3405,plain,
( ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f3404]) ).
fof(f5803,plain,
( spl0_654
| ~ spl0_517
| ~ spl0_565 ),
inference(avatar_split_clause,[],[f4612,f4550,f4201,f5801]) ).
fof(f5801,plain,
( spl0_654
<=> ! [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_654])]) ).
fof(f4612,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_517
| ~ spl0_565 ),
inference(resolution,[],[f4551,f4202]) ).
fof(f5799,plain,
( spl0_653
| ~ spl0_518
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4587,f4546,f4205,f5797]) ).
fof(f5797,plain,
( spl0_653
<=> ! [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_653])]) ).
fof(f4205,plain,
( spl0_518
<=> ! [X25,X5,X1] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f4587,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_518
| ~ spl0_564 ),
inference(resolution,[],[f4547,f4206]) ).
fof(f4206,plain,
( ! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ spl0_518 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f5795,plain,
( spl0_652
| ~ spl0_289
| ~ spl0_539 ),
inference(avatar_split_clause,[],[f4406,f4326,f2917,f5793]) ).
fof(f5793,plain,
( spl0_652
<=> ! [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_652])]) ).
fof(f2917,plain,
( spl0_289
<=> ! [X12,X1] : c_lessequals(X12,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f4326,plain,
( spl0_539
<=> ! [X12,X0,X1] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f4406,plain,
( ! [X0,X1] : c_insert(X0,c_emptyset,X1) = c_insert(X0,c_insert(X0,c_emptyset,X1),X1)
| ~ spl0_289
| ~ spl0_539 ),
inference(resolution,[],[f4327,f2918]) ).
fof(f2918,plain,
( ! [X1,X12] : c_lessequals(X12,X12,tc_set(X1))
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f4327,plain,
( ! [X0,X1,X12] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) )
| ~ spl0_539 ),
inference(avatar_component_clause,[],[f4326]) ).
fof(f5791,plain,
( spl0_651
| ~ spl0_316
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4183,f4089,f3027,f5789]) ).
fof(f5789,plain,
( spl0_651
<=> ! [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_651])]) ).
fof(f3027,plain,
( spl0_316
<=> ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f4183,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_316
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3028]) ).
fof(f3028,plain,
( ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3027]) ).
fof(f5787,plain,
( spl0_650
| ~ spl0_315
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4178,f4089,f3023,f5785]) ).
fof(f5785,plain,
( spl0_650
<=> ! [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_650])]) ).
fof(f3023,plain,
( spl0_315
<=> ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f4178,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_315
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3024]) ).
fof(f3024,plain,
( ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f3023]) ).
fof(f5783,plain,
( spl0_649
| ~ spl0_63
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f5670,f5562,f1705,f5781]) ).
fof(f5781,plain,
( spl0_649
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_UNIV),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f5562,plain,
( spl0_634
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f5670,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_UNIV),tc_Message_Omsg)
| ~ spl0_63
| ~ spl0_634 ),
inference(resolution,[],[f5563,f1706]) ).
fof(f5563,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_634 ),
inference(avatar_component_clause,[],[f5562]) ).
fof(f5779,plain,
( spl0_648
| ~ spl0_313
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4173,f4089,f3015,f5777]) ).
fof(f5777,plain,
( spl0_648
<=> ! [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_648])]) ).
fof(f3015,plain,
( spl0_313
<=> ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f4173,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_313
| ~ spl0_511 ),
inference(resolution,[],[f4090,f3016]) ).
fof(f3016,plain,
( ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f5775,plain,
( spl0_647
| ~ spl0_419
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f3558,f3532,f3528,f5773]) ).
fof(f5773,plain,
( spl0_647
<=> ! [X0,X1] :
( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f3528,plain,
( spl0_419
<=> ! [X53,X55] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f3558,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) )
| ~ spl0_419
| ~ spl0_420 ),
inference(resolution,[],[f3533,f3529]) ).
fof(f3529,plain,
( ! [X55,X53] :
( c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f3528]) ).
fof(f5771,plain,
( spl0_646
| ~ spl0_385
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f3441,f3368,f3356,f5769]) ).
fof(f3356,plain,
( spl0_385
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f3368,plain,
( spl0_388
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f3441,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_385
| ~ spl0_388 ),
inference(resolution,[],[f3369,f3357]) ).
fof(f3357,plain,
( ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f3369,plain,
( ! [X11,X42] :
( c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f5767,plain,
( spl0_645
| ~ spl0_386
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f3439,f3364,f3360,f5765]) ).
fof(f5765,plain,
( spl0_645
<=> ! [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_645])]) ).
fof(f3360,plain,
( spl0_386
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f3364,plain,
( spl0_387
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f3439,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_386
| ~ spl0_387 ),
inference(resolution,[],[f3365,f3361]) ).
fof(f3361,plain,
( ! [X11,X42] :
( c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f3360]) ).
fof(f3365,plain,
( ! [X11,X42] :
( ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f3364]) ).
fof(f5715,plain,
( spl0_644
| ~ spl0_63
| ~ spl0_632 ),
inference(avatar_split_clause,[],[f5618,f5554,f1705,f5713]) ).
fof(f5713,plain,
( spl0_644
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_UNIV),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f5554,plain,
( spl0_632
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f5618,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_UNIV),tc_Message_Omsg)
| ~ spl0_63
| ~ spl0_632 ),
inference(resolution,[],[f5555,f1706]) ).
fof(f5555,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_632 ),
inference(avatar_component_clause,[],[f5554]) ).
fof(f5600,plain,
( spl0_643
| ~ spl0_281
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f5053,f5005,f2578,f5598]) ).
fof(f5598,plain,
( spl0_643
<=> ! [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_643])]) ).
fof(f5005,plain,
( spl0_603
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f5053,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(X1,c_emptyset,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_281
| ~ spl0_603 ),
inference(resolution,[],[f5006,f2579]) ).
fof(f5006,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31))
| ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_603 ),
inference(avatar_component_clause,[],[f5005]) ).
fof(f5596,plain,
( spl0_642
| ~ spl0_281
| ~ spl0_602 ),
inference(avatar_split_clause,[],[f5023,f5001,f2578,f5594]) ).
fof(f5594,plain,
( spl0_642
<=> ! [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_642])]) ).
fof(f5001,plain,
( spl0_602
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f5023,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_281
| ~ spl0_602 ),
inference(resolution,[],[f5002,f2579]) ).
fof(f5002,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2))
| ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_602 ),
inference(avatar_component_clause,[],[f5001]) ).
fof(f5592,plain,
( spl0_641
| ~ spl0_281
| ~ spl0_574 ),
inference(avatar_split_clause,[],[f4741,f4699,f2578,f5590]) ).
fof(f5590,plain,
( spl0_641
<=> ! [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_641])]) ).
fof(f4699,plain,
( spl0_574
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f4741,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_281
| ~ spl0_574 ),
inference(resolution,[],[f4700,f2579]) ).
fof(f4700,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_574 ),
inference(avatar_component_clause,[],[f4699]) ).
fof(f5588,plain,
( spl0_640
| ~ spl0_281
| ~ spl0_573 ),
inference(avatar_split_clause,[],[f4721,f4695,f2578,f5586]) ).
fof(f5586,plain,
( spl0_640
<=> ! [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_640])]) ).
fof(f4695,plain,
( spl0_573
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f4721,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_281
| ~ spl0_573 ),
inference(resolution,[],[f4696,f2579]) ).
fof(f4696,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_573 ),
inference(avatar_component_clause,[],[f4695]) ).
fof(f5584,plain,
( spl0_639
| ~ spl0_324
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f5457,f5448,f3059,f5582]) ).
fof(f5582,plain,
( spl0_639
<=> ! [X0,X1] : c_in(X0,c_Union(c_UNIV,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f5448,plain,
( spl0_630
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f5457,plain,
( ! [X0,X1] : c_in(X0,c_Union(c_UNIV,X1),X1)
| ~ spl0_324
| ~ spl0_630 ),
inference(resolution,[],[f5449,f3060]) ).
fof(f5449,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) )
| ~ spl0_630 ),
inference(avatar_component_clause,[],[f5448]) ).
fof(f5580,plain,
( spl0_638
| ~ spl0_493
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4378,f4291,f3962,f5578]) ).
fof(f5578,plain,
( spl0_638
<=> ! [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_638])]) ).
fof(f4378,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_493
| ~ spl0_531 ),
inference(resolution,[],[f4292,f3963]) ).
fof(f5576,plain,
( spl0_637
| ~ spl0_493
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4349,f4279,f3962,f5574]) ).
fof(f5574,plain,
( spl0_637
<=> ! [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_637])]) ).
fof(f4349,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_493
| ~ spl0_528 ),
inference(resolution,[],[f4280,f3963]) ).
fof(f5572,plain,
( spl0_636
| ~ spl0_294
| ~ spl0_300
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f4251,f4213,f2962,f2938,f5570]) ).
fof(f5570,plain,
( spl0_636
<=> ! [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_636])]) ).
fof(f2938,plain,
( spl0_294
<=> ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f4213,plain,
( spl0_520
<=> ! [X25,X1,X3] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f4251,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_294
| ~ spl0_300
| ~ spl0_520 ),
inference(forward_demodulation,[],[f4246,f2963]) ).
fof(f4246,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_294
| ~ spl0_520 ),
inference(superposition,[],[f4214,f2939]) ).
fof(f2939,plain,
( ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1)
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f4214,plain,
( ! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1)
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f5568,plain,
( spl0_635
| ~ spl0_374
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3811,f3726,f3294,f5566]) ).
fof(f5566,plain,
( spl0_635
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f3726,plain,
( spl0_458
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f3811,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_374
| ~ spl0_458 ),
inference(resolution,[],[f3727,f3295]) ).
fof(f3727,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f3726]) ).
fof(f5564,plain,
( spl0_634
| ~ spl0_374
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f3810,f3722,f3294,f5562]) ).
fof(f3722,plain,
( spl0_457
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f3810,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_374
| ~ spl0_457 ),
inference(resolution,[],[f3723,f3295]) ).
fof(f3723,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f3722]) ).
fof(f5560,plain,
( spl0_633
| ~ spl0_373
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f3809,f3718,f3290,f5558]) ).
fof(f5558,plain,
( spl0_633
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f3718,plain,
( spl0_456
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f3809,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_373
| ~ spl0_456 ),
inference(resolution,[],[f3719,f3291]) ).
fof(f3719,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f5556,plain,
( spl0_632
| ~ spl0_373
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f3808,f3714,f3290,f5554]) ).
fof(f3714,plain,
( spl0_455
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f3808,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_373
| ~ spl0_455 ),
inference(resolution,[],[f3715,f3291]) ).
fof(f3715,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
| c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f3714]) ).
fof(f5550,plain,
( spl0_631
| ~ spl0_339
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f3426,f3336,f3135,f5548]) ).
fof(f5548,plain,
( spl0_631
<=> ! [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_631])]) ).
fof(f3426,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_339
| ~ spl0_380 ),
inference(superposition,[],[f3136,f3337]) ).
fof(f5450,plain,
( spl0_630
| ~ spl0_63
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f4161,f4089,f1705,f5448]) ).
fof(f4161,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) )
| ~ spl0_63
| ~ spl0_511 ),
inference(resolution,[],[f4090,f1706]) ).
fof(f5410,plain,
( spl0_629
| ~ spl0_281
| ~ spl0_585 ),
inference(avatar_split_clause,[],[f4867,f4841,f2578,f5408]) ).
fof(f5408,plain,
( spl0_629
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f4841,plain,
( spl0_585
<=> ! [X5,X29,X2,X1] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f4867,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1))
| ~ spl0_281
| ~ spl0_585 ),
inference(resolution,[],[f4842,f2579]) ).
fof(f4842,plain,
( ! [X2,X29,X1,X5] :
( c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_585 ),
inference(avatar_component_clause,[],[f4841]) ).
fof(f5406,plain,
( spl0_628
| ~ spl0_427
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4376,f4291,f3582,f5404]) ).
fof(f5404,plain,
( spl0_628
<=> ! [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_628])]) ).
fof(f4376,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_427
| ~ spl0_531 ),
inference(resolution,[],[f4292,f3583]) ).
fof(f5402,plain,
( spl0_627
| ~ spl0_427
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4347,f4279,f3582,f5400]) ).
fof(f5400,plain,
( spl0_627
<=> ! [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_627])]) ).
fof(f4347,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_427
| ~ spl0_528 ),
inference(resolution,[],[f4280,f3583]) ).
fof(f5398,plain,
( spl0_626
| ~ spl0_461
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f5361,f3926,f3804,f5395]) ).
fof(f5395,plain,
( spl0_626
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f3804,plain,
( spl0_461
<=> ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f3926,plain,
( spl0_484
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f5361,plain,
( c_emptyset = c_Message_Oparts(c_emptyset)
| ~ spl0_461
| ~ spl0_484 ),
inference(resolution,[],[f3927,f3805]) ).
fof(f3805,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f3804]) ).
fof(f3927,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f3926]) ).
fof(f5393,plain,
( spl0_625
| ~ spl0_481
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f4235,f4189,f3914,f5391]) ).
fof(f5391,plain,
( spl0_625
<=> ! [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_625])]) ).
fof(f4189,plain,
( spl0_514
<=> ! [X12,X1,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f4235,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1))
| ~ spl0_481
| ~ spl0_514 ),
inference(duplicate_literal_removal,[],[f4232]) ).
fof(f4232,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_481
| ~ spl0_514 ),
inference(resolution,[],[f4190,f3915]) ).
fof(f4190,plain,
( ! [X1,X12,X23] :
( c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f4189]) ).
fof(f5388,plain,
( spl0_624
| ~ spl0_300
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f3770,f3614,f2962,f5386]) ).
fof(f5386,plain,
( spl0_624
<=> ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f3614,plain,
( spl0_434
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f3770,plain,
( ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 )
| ~ spl0_300
| ~ spl0_434 ),
inference(superposition,[],[f3615,f2963]) ).
fof(f3615,plain,
( ! [X1,X25,X23,X43] :
( c_append(X23,X25,X1) != c_append(X23,X43,X1)
| X25 = X43 )
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f3614]) ).
fof(f5384,plain,
( spl0_623
| ~ spl0_301
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f3760,f3602,f2966,f5382]) ).
fof(f5382,plain,
( spl0_623
<=> ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f2966,plain,
( spl0_301
<=> ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f3602,plain,
( spl0_431
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f3760,plain,
( ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 )
| ~ spl0_301
| ~ spl0_431 ),
inference(superposition,[],[f3603,f2967]) ).
fof(f2967,plain,
( ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f3603,plain,
( ! [X1,X25,X23,X43] :
( c_append(X25,X23,X1) != c_append(X43,X23,X1)
| X25 = X43 )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f3602]) ).
fof(f5365,plain,
( spl0_622
| ~ spl0_281
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4767,f4703,f2578,f5363]) ).
fof(f5363,plain,
( spl0_622
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f4767,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3)
| ~ spl0_281
| ~ spl0_575 ),
inference(resolution,[],[f4704,f2579]) ).
fof(f5351,plain,
spl0_621,
inference(avatar_split_clause,[],[f6,f5349]) ).
fof(f5349,plain,
( spl0_621
<=> ! [X5,X10,X9,X7,X8,X6,X2,X1] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_OScons(X10,X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f6,axiom,
! [X2,X10,X1,X8,X6,X9,X7,X5] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_OScons(X10,X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodI_0) ).
fof(f5336,plain,
( spl0_620
| ~ spl0_426
| ~ spl0_494 ),
inference(avatar_split_clause,[],[f4097,f4015,f3578,f5334]) ).
fof(f5334,plain,
( spl0_620
<=> ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f4015,plain,
( spl0_494
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f4097,plain,
( ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1))
| ~ spl0_426
| ~ spl0_494 ),
inference(resolution,[],[f4016,f3579]) ).
fof(f4016,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_494 ),
inference(avatar_component_clause,[],[f4015]) ).
fof(f5332,plain,
spl0_619,
inference(avatar_split_clause,[],[f10,f5330]) ).
fof(f5330,plain,
( spl0_619
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f10,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_3) ).
fof(f5306,plain,
spl0_618,
inference(avatar_split_clause,[],[f9,f5304]) ).
fof(f5304,plain,
( spl0_618
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f9,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_2) ).
fof(f5302,plain,
spl0_617,
inference(avatar_split_clause,[],[f8,f5300]) ).
fof(f5300,plain,
( spl0_617
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f8,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_1) ).
fof(f5287,plain,
spl0_616,
inference(avatar_split_clause,[],[f7,f5285]) ).
fof(f5285,plain,
( spl0_616
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f7,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_0) ).
fof(f5274,plain,
spl0_615,
inference(avatar_split_clause,[],[f3,f5272]) ).
fof(f5272,plain,
( spl0_615
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__2(X4,X5,X6,X1,X2),X1,X2),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f3,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__2(X4,X5,X6,X1,X2),X1,X2),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_0) ).
fof(f5248,plain,
spl0_614,
inference(avatar_split_clause,[],[f12,f5246]) ).
fof(f5246,plain,
( spl0_614
<=> ! [X5,X7,X8,X6,X2,X1] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_OIn1(X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f12,axiom,
! [X2,X1,X8,X6,X7,X5] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_OIn1(X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In1I_0) ).
fof(f5244,plain,
spl0_613,
inference(avatar_split_clause,[],[f11,f5242]) ).
fof(f5242,plain,
( spl0_613
<=> ! [X6,X9,X10,X5,X2,X1] :
( ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_OIn0(X10,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f11,axiom,
! [X2,X10,X1,X6,X9,X5] :
( ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_OIn0(X10,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In0I_0) ).
fof(f5178,plain,
spl0_612,
inference(avatar_split_clause,[],[f5,f5176]) ).
fof(f5,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_2) ).
fof(f5174,plain,
spl0_611,
inference(avatar_split_clause,[],[f4,f5172]) ).
fof(f4,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_1) ).
fof(f5156,plain,
spl0_610,
inference(avatar_split_clause,[],[f54,f5154]) ).
fof(f5154,plain,
( spl0_610
<=> ! [X3,X23,X5,X25,X1] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f54,axiom,
! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_1) ).
fof(f5140,plain,
spl0_609,
inference(avatar_split_clause,[],[f51,f5138]) ).
fof(f5138,plain,
( spl0_609
<=> ! [X3,X23,X5,X25,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(X25,c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f51,axiom,
! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(X25,c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_1) ).
fof(f5098,plain,
spl0_608,
inference(avatar_split_clause,[],[f85,f5096]) ).
fof(f5096,plain,
( spl0_608
<=> ! [X31,X4,X18,X6,X5,X27,X2,X1] :
( ~ c_in(c_Pair(X27,X4,X2,X31),X5,tc_prod(X2,X31))
| ~ c_in(c_Pair(X18,X27,X1,X2),X6,tc_prod(X1,X2))
| c_in(c_Pair(X18,X4,X1,X31),c_Relation_Orel__comp(X5,X6,X2,X31,X1),tc_prod(X1,X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f85,axiom,
! [X2,X31,X18,X1,X6,X27,X4,X5] :
( ~ c_in(c_Pair(X27,X4,X2,X31),X5,tc_prod(X2,X31))
| ~ c_in(c_Pair(X18,X27,X1,X2),X6,tc_prod(X1,X2))
| c_in(c_Pair(X18,X4,X1,X31),c_Relation_Orel__comp(X5,X6,X2,X31,X1),tc_prod(X1,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compI_0) ).
fof(f5094,plain,
spl0_607,
inference(avatar_split_clause,[],[f53,f5092]) ).
fof(f5092,plain,
( spl0_607
<=> ! [X5,X3,X23,X25,X1] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f53,axiom,
! [X3,X1,X5,X25,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_0) ).
fof(f5090,plain,
spl0_606,
inference(avatar_split_clause,[],[f50,f5088]) ).
fof(f5088,plain,
( spl0_606
<=> ! [X5,X3,X23,X25,X1] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f50,axiom,
! [X3,X1,X5,X25,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_0) ).
fof(f5083,plain,
spl0_605,
inference(avatar_split_clause,[],[f55,f5081]) ).
fof(f5081,plain,
( spl0_605
<=> ! [X3,X23,X5,X25,X1] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f55,axiom,
! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_2) ).
fof(f5079,plain,
spl0_604,
inference(avatar_split_clause,[],[f52,f5077]) ).
fof(f5077,plain,
( spl0_604
<=> ! [X3,X23,X5,X25,X1] :
( c_in(c_Pair(X3,c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f52,axiom,
! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(X3,c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_2) ).
fof(f5007,plain,
spl0_603,
inference(avatar_split_clause,[],[f83,f5005]) ).
fof(f83,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_1) ).
fof(f5003,plain,
spl0_602,
inference(avatar_split_clause,[],[f82,f5001]) ).
fof(f82,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_0) ).
fof(f4999,plain,
spl0_601,
inference(avatar_split_clause,[],[f20,f4997]) ).
fof(f4997,plain,
( spl0_601
<=> ! [X13,X14,X12,X2,X1] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f20,axiom,
! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_3) ).
fof(f4979,plain,
spl0_600,
inference(avatar_split_clause,[],[f19,f4977]) ).
fof(f4977,plain,
( spl0_600
<=> ! [X13,X14,X12,X2,X1] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f19,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_2) ).
fof(f4975,plain,
( ~ spl0_289
| spl0_593 ),
inference(avatar_contradiction_clause,[],[f4972]) ).
fof(f4972,plain,
( $false
| ~ spl0_289
| spl0_593 ),
inference(resolution,[],[f4925,f2918]) ).
fof(f4925,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| spl0_593 ),
inference(avatar_component_clause,[],[f4923]) ).
fof(f4923,plain,
( spl0_593
<=> c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f4971,plain,
spl0_599,
inference(avatar_split_clause,[],[f18,f4969]) ).
fof(f4969,plain,
( spl0_599
<=> ! [X14,X13,X12,X2,X1] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f18,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_1) ).
fof(f4959,plain,
spl0_598,
inference(avatar_split_clause,[],[f17,f4957]) ).
fof(f4957,plain,
( spl0_598
<=> ! [X13,X14,X12,X2,X1] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f17,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_0) ).
fof(f4947,plain,
spl0_597,
inference(avatar_split_clause,[],[f115,f4945]) ).
fof(f4945,plain,
( spl0_597
<=> ! [X13,X14,X12,X2,X1] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f115,axiom,
! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_0) ).
fof(f4943,plain,
spl0_596,
inference(avatar_split_clause,[],[f84,f4941]) ).
fof(f4941,plain,
( spl0_596
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X1,X2) = X30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f84,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X1,X2) = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_2) ).
fof(f4937,plain,
spl0_595,
inference(avatar_split_clause,[],[f16,f4935]) ).
fof(f4935,plain,
( spl0_595
<=> ! [X9,X13,X7,X12,X2,X1] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f16,axiom,
! [X2,X1,X9,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodI_0) ).
fof(f4930,plain,
( ~ spl0_593
| ~ spl0_594
| spl0_57
| ~ spl0_589 ),
inference(avatar_split_clause,[],[f4895,f4857,f1680,f4927,f4923]) ).
fof(f1680,plain,
( spl0_57
<=> c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f4857,plain,
( spl0_589
<=> ! [X55,X20,X69,X68] :
( ~ c_lessequals(c_Message_Oanalz(X55),c_Message_Oanalz(X68),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X69),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X20,X55,tc_Message_Omsg)),c_Message_Oanalz(c_union(X69,X68,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f4895,plain,
( ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| spl0_57
| ~ spl0_589 ),
inference(resolution,[],[f4858,f1682]) ).
fof(f1682,plain,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_57 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f4858,plain,
( ! [X68,X55,X69,X20] :
( c_lessequals(c_Message_Oanalz(c_union(X20,X55,tc_Message_Omsg)),c_Message_Oanalz(c_union(X69,X68,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X69),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X55),c_Message_Oanalz(X68),tc_set(tc_Message_Omsg)) )
| ~ spl0_589 ),
inference(avatar_component_clause,[],[f4857]) ).
fof(f4912,plain,
spl0_592,
inference(avatar_split_clause,[],[f117,f4910]) ).
fof(f4910,plain,
( spl0_592
<=> ! [X2,X14,X13,X12,X1] :
( c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f117,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_2) ).
fof(f4908,plain,
spl0_591,
inference(avatar_split_clause,[],[f116,f4906]) ).
fof(f4906,plain,
( spl0_591
<=> ! [X13,X14,X12,X2,X1] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f116,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_1) ).
fof(f4904,plain,
spl0_590,
inference(avatar_split_clause,[],[f13,f4902]) ).
fof(f4902,plain,
( spl0_590
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X13,X4,X1,X2),c_Main_OuprodE__2(X12,X13,X4,X1,X2),X1,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f13,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X13,X4,X1,X2),c_Main_OuprodE__2(X12,X13,X4,X1,X2),X1,X2) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_0) ).
fof(f4859,plain,
spl0_589,
inference(avatar_split_clause,[],[f1398,f4857]) ).
fof(f1398,axiom,
! [X68,X55,X69,X20] :
( ~ c_lessequals(c_Message_Oanalz(X55),c_Message_Oanalz(X68),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X69),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X20,X55,tc_Message_Omsg)),c_Message_Oanalz(c_union(X69,X68,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
fof(f4855,plain,
( spl0_588
| ~ spl0_281
| ~ spl0_565 ),
inference(avatar_split_clause,[],[f4614,f4550,f2578,f4853]) ).
fof(f4853,plain,
( spl0_588
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f4614,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2)
| ~ spl0_281
| ~ spl0_565 ),
inference(resolution,[],[f4551,f2579]) ).
fof(f4851,plain,
spl0_587,
inference(avatar_split_clause,[],[f1355,f4849]) ).
fof(f4849,plain,
( spl0_587
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f1355,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
fof(f4847,plain,
spl0_586,
inference(avatar_split_clause,[],[f1352,f4845]) ).
fof(f4845,plain,
( spl0_586
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f1352,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
fof(f4843,plain,
spl0_585,
inference(avatar_split_clause,[],[f77,f4841]) ).
fof(f77,axiom,
! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_0) ).
fof(f4836,plain,
spl0_584,
inference(avatar_split_clause,[],[f118,f4834]) ).
fof(f4834,plain,
( spl0_584
<=> ! [X13,X14,X12,X2,X1] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f118,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_3) ).
fof(f4818,plain,
( spl0_583
| ~ spl0_281
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4589,f4546,f2578,f4816]) ).
fof(f4816,plain,
( spl0_583
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f4589,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1)
| ~ spl0_281
| ~ spl0_564 ),
inference(resolution,[],[f4547,f2579]) ).
fof(f4814,plain,
spl0_582,
inference(avatar_split_clause,[],[f1354,f4812]) ).
fof(f4812,plain,
( spl0_582
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f1354,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f4810,plain,
spl0_581,
inference(avatar_split_clause,[],[f1351,f4808]) ).
fof(f4808,plain,
( spl0_581
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1351,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f4806,plain,
spl0_580,
inference(avatar_split_clause,[],[f1221,f4804]) ).
fof(f4804,plain,
( spl0_580
<=> ! [X23,X12,X25,X1] :
( ~ c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1221,axiom,
! [X1,X25,X12,X23] :
( ~ c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(f4802,plain,
spl0_579,
inference(avatar_split_clause,[],[f122,f4800]) ).
fof(f4800,plain,
( spl0_579
<=> ! [X5,X18,X27,X1] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f122,axiom,
! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(f4798,plain,
spl0_578,
inference(avatar_split_clause,[],[f78,f4796]) ).
fof(f4796,plain,
( spl0_578
<=> ! [X5,X29,X2,X1] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_OconverseE__2(X5,X29,X2,X1),c_Main_OconverseE__1(X5,X29,X2,X1),X1,X2) = X29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f78,axiom,
! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_OconverseE__2(X5,X29,X2,X1),c_Main_OconverseE__1(X5,X29,X2,X1),X1,X2) = X29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_1) ).
fof(f4713,plain,
spl0_577,
inference(avatar_split_clause,[],[f1289,f4711]) ).
fof(f4711,plain,
( spl0_577
<=> ! [X18,X5,X27,X2,X1] :
( ~ c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f1289,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff2_0) ).
fof(f4709,plain,
spl0_576,
inference(avatar_split_clause,[],[f1288,f4707]) ).
fof(f4707,plain,
( spl0_576
<=> ! [X18,X5,X27,X2,X1] :
( c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f1288,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff1_0) ).
fof(f4705,plain,
spl0_575,
inference(avatar_split_clause,[],[f73,f4703]) ).
fof(f73,axiom,
! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f4701,plain,
spl0_574,
inference(avatar_split_clause,[],[f15,f4699]) ).
fof(f15,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f4697,plain,
spl0_573,
inference(avatar_split_clause,[],[f14,f4695]) ).
fof(f14,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f4664,plain,
spl0_572,
inference(avatar_split_clause,[],[f121,f4662]) ).
fof(f4662,plain,
( spl0_572
<=> ! [X5,X18,X27,X1] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f121,axiom,
! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f4660,plain,
spl0_571,
inference(avatar_split_clause,[],[f74,f4658]) ).
fof(f74,axiom,
! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4577,plain,
spl0_570,
inference(avatar_split_clause,[],[f1287,f4575]) ).
fof(f4575,plain,
( spl0_570
<=> ! [X5,X18,X27,X2,X1] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f1287,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4568,plain,
spl0_569,
inference(avatar_split_clause,[],[f1286,f4566]) ).
fof(f4566,plain,
( spl0_569
<=> ! [X5,X18,X27,X2,X1] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f1286,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4564,plain,
spl0_568,
inference(avatar_split_clause,[],[f1191,f4562]) ).
fof(f4562,plain,
( spl0_568
<=> ! [X18,X13,X12,X1] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f1191,axiom,
! [X1,X18,X12,X13] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4560,plain,
spl0_567,
inference(avatar_split_clause,[],[f1190,f4558]) ).
fof(f4558,plain,
( spl0_567
<=> ! [X18,X13,X12,X1] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f1190,axiom,
! [X1,X18,X12,X13] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4556,plain,
spl0_566,
inference(avatar_split_clause,[],[f79,f4554]) ).
fof(f4554,plain,
( spl0_566
<=> ! [X12,X1,X4] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f79,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4552,plain,
spl0_565,
inference(avatar_split_clause,[],[f75,f4550]) ).
fof(f75,axiom,
! [X2,X1,X27,X5] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4548,plain,
spl0_564,
inference(avatar_split_clause,[],[f69,f4546]) ).
fof(f69,axiom,
! [X2,X18,X1,X5] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4544,plain,
spl0_563,
inference(avatar_split_clause,[],[f60,f4542]) ).
fof(f4542,plain,
( spl0_563
<=> ! [X18,X12,X1,X26] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f60,axiom,
! [X18,X1,X26,X12] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4540,plain,
spl0_562,
inference(avatar_split_clause,[],[f22,f4538]) ).
fof(f4538,plain,
( spl0_562
<=> ! [X13,X7,X12,X2,X1] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f22,axiom,
! [X2,X1,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4536,plain,
spl0_561,
inference(avatar_split_clause,[],[f21,f4534]) ).
fof(f4534,plain,
( spl0_561
<=> ! [X13,X12,X9,X2,X1] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f21,axiom,
! [X2,X1,X9,X12,X13] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4531,plain,
( spl0_560
| ~ spl0_63
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4386,f4291,f1705,f4529]) ).
fof(f4529,plain,
( spl0_560
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f4386,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2)
| ~ spl0_63
| ~ spl0_531 ),
inference(resolution,[],[f4292,f1706]) ).
fof(f4507,plain,
spl0_559,
inference(avatar_split_clause,[],[f33,f4505]) ).
fof(f4505,plain,
( spl0_559
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f33,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4503,plain,
spl0_558,
inference(avatar_split_clause,[],[f32,f4501]) ).
fof(f4501,plain,
( spl0_558
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f32,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4497,plain,
spl0_557,
inference(avatar_split_clause,[],[f1376,f4495]) ).
fof(f4495,plain,
( spl0_557
<=> ! [X54,X53,X55] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f1376,axiom,
! [X54,X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f4493,plain,
spl0_556,
inference(avatar_split_clause,[],[f1242,f4491]) ).
fof(f4491,plain,
( spl0_556
<=> ! [X3,X23,X25,X1] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1242,axiom,
! [X3,X1,X25,X23] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4489,plain,
spl0_555,
inference(avatar_split_clause,[],[f57,f4487]) ).
fof(f4487,plain,
( spl0_555
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f57,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4485,plain,
( spl0_554
| ~ spl0_397
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4375,f4291,f3404,f4483]) ).
fof(f4483,plain,
( spl0_554
<=> ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f4375,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_397
| ~ spl0_531 ),
inference(resolution,[],[f4292,f3405]) ).
fof(f4481,plain,
spl0_553,
inference(avatar_split_clause,[],[f56,f4479]) ).
fof(f4479,plain,
( spl0_553
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f56,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4454,plain,
spl0_552,
inference(avatar_split_clause,[],[f1379,f4452]) ).
fof(f1379,axiom,
! [X55,X4,X20] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oin__parts__UnE_0) ).
fof(f4445,plain,
spl0_551,
inference(avatar_split_clause,[],[f1367,f4443]) ).
fof(f4443,plain,
( spl0_551
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f1367,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f4441,plain,
spl0_550,
inference(avatar_split_clause,[],[f1366,f4439]) ).
fof(f4439,plain,
( spl0_550
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f1366,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f4437,plain,
spl0_549,
inference(avatar_split_clause,[],[f1359,f4435]) ).
fof(f4435,plain,
( spl0_549
<=> ! [X54,X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f1359,axiom,
! [X54,X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f4433,plain,
spl0_548,
inference(avatar_split_clause,[],[f1358,f4431]) ).
fof(f4431,plain,
( spl0_548
<=> ! [X54,X53,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f1358,axiom,
! [X54,X55,X53] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f4429,plain,
spl0_547,
inference(avatar_split_clause,[],[f1218,f4427]) ).
fof(f1218,axiom,
! [X3,X0,X1,X25,X23] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4425,plain,
spl0_546,
inference(avatar_split_clause,[],[f1217,f4423]) ).
fof(f1217,axiom,
! [X3,X0,X1,X25,X23] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4421,plain,
spl0_545,
inference(avatar_split_clause,[],[f1196,f4419]) ).
fof(f4419,plain,
( spl0_545
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1196,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4414,plain,
( spl0_544
| ~ spl0_63
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4357,f4279,f1705,f4412]) ).
fof(f4412,plain,
( spl0_544
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f4357,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1)
| ~ spl0_63
| ~ spl0_528 ),
inference(resolution,[],[f4280,f1706]) ).
fof(f4371,plain,
( spl0_543
| ~ spl0_397
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4346,f4279,f3404,f4369]) ).
fof(f4369,plain,
( spl0_543
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f4346,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_397
| ~ spl0_528 ),
inference(resolution,[],[f4280,f3405]) ).
fof(f4340,plain,
spl0_542,
inference(avatar_split_clause,[],[f1396,f4338]) ).
fof(f4338,plain,
( spl0_542
<=> ! [X53,X55,X56] :
( ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f1396,axiom,
! [X56,X55,X53] :
( ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
fof(f4336,plain,
spl0_541,
inference(avatar_split_clause,[],[f1393,f4334]) ).
fof(f4334,plain,
( spl0_541
<=> ! [X54,X53,X55] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1393,axiom,
! [X54,X55,X53] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OCrypt_0) ).
fof(f4332,plain,
spl0_540,
inference(avatar_split_clause,[],[f1342,f4330]) ).
fof(f4330,plain,
( spl0_540
<=> ! [X12,X27,X1,X18] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f1342,axiom,
! [X1,X18,X27,X12] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
fof(f4328,plain,
spl0_539,
inference(avatar_split_clause,[],[f1340,f4326]) ).
fof(f1340,axiom,
! [X0,X1,X12] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
fof(f4324,plain,
spl0_538,
inference(avatar_split_clause,[],[f1220,f4322]) ).
fof(f4322,plain,
( spl0_538
<=> ! [X12,X1,X23,X25] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1220,axiom,
! [X1,X25,X12,X23] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4320,plain,
spl0_537,
inference(avatar_split_clause,[],[f1219,f4318]) ).
fof(f4318,plain,
( spl0_537
<=> ! [X23,X12,X25,X1] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1219,axiom,
! [X1,X12,X23,X25] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4313,plain,
spl0_536,
inference(avatar_split_clause,[],[f1201,f4311]) ).
fof(f1201,axiom,
! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4309,plain,
spl0_535,
inference(avatar_split_clause,[],[f1198,f4307]) ).
fof(f4307,plain,
( spl0_535
<=> ! [X2,X5,X1] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f1198,axiom,
! [X2,X1,X5] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4305,plain,
spl0_534,
inference(avatar_split_clause,[],[f1197,f4303]) ).
fof(f4303,plain,
( spl0_534
<=> ! [X2,X5,X1] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f1197,axiom,
! [X2,X1,X5] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4301,plain,
spl0_533,
inference(avatar_split_clause,[],[f114,f4299]) ).
fof(f4299,plain,
( spl0_533
<=> ! [X13,X12,X27,X2,X1] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f114,axiom,
! [X2,X1,X27,X12,X13] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4297,plain,
spl0_532,
inference(avatar_split_clause,[],[f113,f4295]) ).
fof(f4295,plain,
( spl0_532
<=> ! [X18,X13,X12,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f113,axiom,
! [X2,X18,X1,X12,X13] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4293,plain,
spl0_531,
inference(avatar_split_clause,[],[f76,f4291]) ).
fof(f76,axiom,
! [X2,X1,X18,X27,X5] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4289,plain,
spl0_530,
inference(avatar_split_clause,[],[f72,f4287]) ).
fof(f4287,plain,
( spl0_530
<=> ! [X12,X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f72,axiom,
! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4285,plain,
spl0_529,
inference(avatar_split_clause,[],[f71,f4283]) ).
fof(f4283,plain,
( spl0_529
<=> ! [X1,X28] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f71,axiom,
! [X28,X1] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4281,plain,
spl0_528,
inference(avatar_split_clause,[],[f70,f4279]) ).
fof(f70,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4277,plain,
spl0_527,
inference(avatar_split_clause,[],[f58,f4275]) ).
fof(f4275,plain,
( spl0_527
<=> ! [X12,X0,X1,X26] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f58,axiom,
! [X0,X1,X26,X12] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4273,plain,
( spl0_526
| ~ spl0_63
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3973,f3914,f1705,f4271]) ).
fof(f4271,plain,
( spl0_526
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f3973,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_63
| ~ spl0_481 ),
inference(resolution,[],[f3915,f1706]) ).
fof(f4269,plain,
spl0_525,
inference(avatar_split_clause,[],[f46,f4267]) ).
fof(f4267,plain,
( spl0_525
<=> ! [X24,X23,X12,X1] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f46,axiom,
! [X1,X24,X12,X23] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4231,plain,
spl0_524,
inference(avatar_split_clause,[],[f1360,f4229]) ).
fof(f4229,plain,
( spl0_524
<=> ! [X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1360,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash__synth_0) ).
fof(f4227,plain,
spl0_523,
inference(avatar_split_clause,[],[f1318,f4225]) ).
fof(f4225,plain,
( spl0_523
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1318,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4223,plain,
spl0_522,
inference(avatar_split_clause,[],[f1315,f4221]) ).
fof(f4221,plain,
( spl0_522
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1315,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4219,plain,
spl0_521,
inference(avatar_split_clause,[],[f1314,f4217]) ).
fof(f4217,plain,
( spl0_521
<=> ! [X13,X12,X1] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1314,axiom,
! [X1,X12,X13] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4215,plain,
spl0_520,
inference(avatar_split_clause,[],[f1243,f4213]) ).
fof(f1243,axiom,
! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4211,plain,
spl0_519,
inference(avatar_split_clause,[],[f1236,f4209]) ).
fof(f4209,plain,
( spl0_519
<=> ! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1236,axiom,
! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4207,plain,
spl0_518,
inference(avatar_split_clause,[],[f1216,f4205]) ).
fof(f1216,axiom,
! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4203,plain,
spl0_517,
inference(avatar_split_clause,[],[f1210,f4201]) ).
fof(f1210,axiom,
! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f4199,plain,
spl0_516,
inference(avatar_split_clause,[],[f81,f4197]) ).
fof(f81,axiom,
! [X18,X1,X12] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4195,plain,
( spl0_515
| ~ spl0_289
| ~ spl0_504 ),
inference(avatar_split_clause,[],[f4122,f4061,f2917,f4193]) ).
fof(f4193,plain,
( spl0_515
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f4061,plain,
( spl0_504
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f4122,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_289
| ~ spl0_504 ),
inference(resolution,[],[f4062,f2918]) ).
fof(f4062,plain,
( ! [X3,X0,X1] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1))
| c_lessequals(X3,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_504 ),
inference(avatar_component_clause,[],[f4061]) ).
fof(f4191,plain,
spl0_514,
inference(avatar_split_clause,[],[f47,f4189]) ).
fof(f47,axiom,
! [X1,X12,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4101,plain,
spl0_513,
inference(avatar_split_clause,[],[f1353,f4099]) ).
fof(f4099,plain,
( spl0_513
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f1353,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f4095,plain,
spl0_512,
inference(avatar_split_clause,[],[f1350,f4093]) ).
fof(f4093,plain,
( spl0_512
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f1350,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f4091,plain,
spl0_511,
inference(avatar_split_clause,[],[f1332,f4089]) ).
fof(f1332,axiom,
! [X1,X53,X12,X32] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f4087,plain,
spl0_510,
inference(avatar_split_clause,[],[f1328,f4085]) ).
fof(f4085,plain,
( spl0_510
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f1328,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4083,plain,
spl0_509,
inference(avatar_split_clause,[],[f1322,f4081]) ).
fof(f4081,plain,
( spl0_509
<=> ! [X53,X12,X32,X1] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1322,axiom,
! [X1,X53,X12,X32] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f4079,plain,
spl0_508,
inference(avatar_split_clause,[],[f1321,f4077]) ).
fof(f4077,plain,
( spl0_508
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f1321,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f4075,plain,
spl0_507,
inference(avatar_split_clause,[],[f1310,f4073]) ).
fof(f4073,plain,
( spl0_507
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1310,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f4071,plain,
spl0_506,
inference(avatar_split_clause,[],[f1309,f4069]) ).
fof(f4069,plain,
( spl0_506
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1309,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f4067,plain,
spl0_505,
inference(avatar_split_clause,[],[f1305,f4065]) ).
fof(f4065,plain,
( spl0_505
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f1305,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f4063,plain,
spl0_504,
inference(avatar_split_clause,[],[f1304,f4061]) ).
fof(f1304,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f4059,plain,
spl0_503,
inference(avatar_split_clause,[],[f1300,f4057]) ).
fof(f4057,plain,
( spl0_503
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f1300,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f4055,plain,
( spl0_502
| ~ spl0_281
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f3995,f3930,f2578,f4053]) ).
fof(f4053,plain,
( spl0_502
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f3930,plain,
( spl0_485
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f3995,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_281
| ~ spl0_485 ),
inference(resolution,[],[f3931,f2579]) ).
fof(f3931,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1))
| ~ c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f3930]) ).
fof(f4051,plain,
spl0_501,
inference(avatar_split_clause,[],[f1299,f4049]) ).
fof(f4049,plain,
( spl0_501
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f1299,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f4047,plain,
spl0_500,
inference(avatar_split_clause,[],[f1295,f4045]) ).
fof(f4045,plain,
( spl0_500
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f1295,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f4043,plain,
spl0_499,
inference(avatar_split_clause,[],[f1294,f4041]) ).
fof(f4041,plain,
( spl0_499
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f1294,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f4039,plain,
spl0_498,
inference(avatar_split_clause,[],[f1263,f4037]) ).
fof(f1263,axiom,
! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f4035,plain,
spl0_497,
inference(avatar_split_clause,[],[f127,f4033]) ).
fof(f4033,plain,
( spl0_497
<=> ! [X35,X36,X2,X1] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f127,axiom,
! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f4031,plain,
spl0_496,
inference(avatar_split_clause,[],[f125,f4029]) ).
fof(f4029,plain,
( spl0_496
<=> ! [X34,X33,X2,X1] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f125,axiom,
! [X2,X1,X34,X33] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f4027,plain,
spl0_495,
inference(avatar_split_clause,[],[f80,f4025]) ).
fof(f80,axiom,
! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f4017,plain,
( spl0_494
| ~ spl0_281
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f3982,f3922,f2578,f4015]) ).
fof(f3922,plain,
( spl0_483
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f3982,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_281
| ~ spl0_483 ),
inference(resolution,[],[f3923,f2579]) ).
fof(f3923,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1))
| c_in(X12,c_Inter(X32,X1),X1) )
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f3922]) ).
fof(f3964,plain,
spl0_493,
inference(avatar_split_clause,[],[f1357,f3962]) ).
fof(f1357,axiom,
! [X3,X0] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f3960,plain,
spl0_492,
inference(avatar_split_clause,[],[f1356,f3958]) ).
fof(f1356,axiom,
! [X3,X0] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f3956,plain,
spl0_491,
inference(avatar_split_clause,[],[f1336,f3954]) ).
fof(f3954,plain,
( spl0_491
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f1336,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3952,plain,
spl0_490,
inference(avatar_split_clause,[],[f1284,f3950]) ).
fof(f3950,plain,
( spl0_490
<=> ! [X2,X41,X18,X27,X52,X1] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f1284,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3948,plain,
spl0_489,
inference(avatar_split_clause,[],[f1283,f3946]) ).
fof(f3946,plain,
( spl0_489
<=> ! [X52,X41,X18,X27,X2,X1] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1283,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3944,plain,
spl0_488,
inference(avatar_split_clause,[],[f1178,f3942]) ).
fof(f3942,plain,
( spl0_488
<=> ! [X9,X7,X8,X10,X2,X1] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1178,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3940,plain,
spl0_487,
inference(avatar_split_clause,[],[f1177,f3938]) ).
fof(f3938,plain,
( spl0_487
<=> ! [X7,X10,X8,X9,X2,X1] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f1177,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3936,plain,
spl0_486,
inference(avatar_split_clause,[],[f119,f3934]) ).
fof(f3934,plain,
( spl0_486
<=> ! [X5,X1,X28] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f119,axiom,
! [X28,X1,X5] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3932,plain,
spl0_485,
inference(avatar_split_clause,[],[f99,f3930]) ).
fof(f99,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3928,plain,
( spl0_484
| ~ spl0_288
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f3888,f3841,f2913,f3926]) ).
fof(f2913,plain,
( spl0_288
<=> ! [X12,X1] : c_lessequals(c_emptyset,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f3841,plain,
( spl0_469
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f3888,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_288
| ~ spl0_469 ),
inference(resolution,[],[f3842,f2914]) ).
fof(f2914,plain,
( ! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1))
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f3842,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13 )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f3841]) ).
fof(f3924,plain,
spl0_483,
inference(avatar_split_clause,[],[f96,f3922]) ).
fof(f96,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3920,plain,
spl0_482,
inference(avatar_split_clause,[],[f59,f3918]) ).
fof(f3918,plain,
( spl0_482
<=> ! [X0,X12,X1,X26] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f59,axiom,
! [X0,X1,X26,X12] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3916,plain,
spl0_481,
inference(avatar_split_clause,[],[f48,f3914]) ).
fof(f48,axiom,
! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3912,plain,
spl0_480,
inference(avatar_split_clause,[],[f43,f3910]) ).
fof(f3910,plain,
( spl0_480
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f43,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3908,plain,
spl0_479,
inference(avatar_split_clause,[],[f27,f3906]) ).
fof(f3906,plain,
( spl0_479
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f27,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3895,plain,
( spl0_478
| ~ spl0_288
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f3878,f3833,f2913,f3893]) ).
fof(f3893,plain,
( spl0_478
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f3833,plain,
( spl0_467
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f3878,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_288
| ~ spl0_467 ),
inference(resolution,[],[f3834,f2914]) ).
fof(f3834,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13
| c_less(X12,X13,tc_set(X1)) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f3833]) ).
fof(f3875,plain,
( spl0_477
| ~ spl0_302
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f3735,f3570,f2970,f3873]) ).
fof(f3873,plain,
( spl0_477
<=> ! [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_477])]) ).
fof(f2970,plain,
( spl0_302
<=> ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f3570,plain,
( spl0_424
<=> ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f3735,plain,
( ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat)
| ~ spl0_302
| ~ spl0_424 ),
inference(superposition,[],[f3571,f2971]) ).
fof(f2971,plain,
( ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1))
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f2970]) ).
fof(f3571,plain,
( ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat)
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f3570]) ).
fof(f3871,plain,
spl0_476,
inference(avatar_split_clause,[],[f1290,f3869]) ).
fof(f1290,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3867,plain,
spl0_475,
inference(avatar_split_clause,[],[f1200,f3865]) ).
fof(f1200,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3863,plain,
spl0_474,
inference(avatar_split_clause,[],[f1199,f3861]) ).
fof(f1199,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3859,plain,
spl0_473,
inference(avatar_split_clause,[],[f1195,f3857]) ).
fof(f3857,plain,
( spl0_473
<=> ! [X20,X1,X19] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f1195,axiom,
! [X1,X19,X20] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3855,plain,
spl0_472,
inference(avatar_split_clause,[],[f1194,f3853]) ).
fof(f3853,plain,
( spl0_472
<=> ! [X20,X1,X19] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f1194,axiom,
! [X1,X19,X20] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3851,plain,
spl0_471,
inference(avatar_split_clause,[],[f1193,f3849]) ).
fof(f3849,plain,
( spl0_471
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f1193,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3847,plain,
spl0_470,
inference(avatar_split_clause,[],[f1192,f3845]) ).
fof(f3845,plain,
( spl0_470
<=> ! [X12,X1] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1192,axiom,
! [X1,X12] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3843,plain,
spl0_469,
inference(avatar_split_clause,[],[f111,f3841]) ).
fof(f111,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3839,plain,
spl0_468,
inference(avatar_split_clause,[],[f108,f3837]) ).
fof(f3837,plain,
( spl0_468
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f108,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3835,plain,
spl0_467,
inference(avatar_split_clause,[],[f104,f3833]) ).
fof(f104,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3831,plain,
spl0_466,
inference(avatar_split_clause,[],[f100,f3829]) ).
fof(f3829,plain,
( spl0_466
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f100,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3827,plain,
spl0_465,
inference(avatar_split_clause,[],[f97,f3825]) ).
fof(f3825,plain,
( spl0_465
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f97,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3823,plain,
spl0_464,
inference(avatar_split_clause,[],[f31,f3821]) ).
fof(f3821,plain,
( spl0_464
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f31,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3819,plain,
spl0_463,
inference(avatar_split_clause,[],[f30,f3817]) ).
fof(f3817,plain,
( spl0_463
<=> ! [X20,X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f30,axiom,
! [X1,X19,X20] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3815,plain,
spl0_462,
inference(avatar_split_clause,[],[f29,f3813]) ).
fof(f3813,plain,
( spl0_462
<=> ! [X12,X1,X18] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f29,axiom,
! [X1,X18,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3806,plain,
( spl0_461
| ~ spl0_297
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f3744,f3574,f2950,f3804]) ).
fof(f2950,plain,
( spl0_297
<=> ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3744,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_297
| ~ spl0_425 ),
inference(resolution,[],[f3575,f2951]) ).
fof(f2951,plain,
( ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg)
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f3769,plain,
( spl0_460
| ~ spl0_63
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f3749,f3578,f1705,f3767]) ).
fof(f3767,plain,
( spl0_460
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f3749,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_63
| ~ spl0_426 ),
inference(resolution,[],[f3579,f1706]) ).
fof(f3734,plain,
( spl0_459
| ~ spl0_339
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f3424,f3332,f3135,f3732]) ).
fof(f3732,plain,
( spl0_459
<=> ! [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_459])]) ).
fof(f3424,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_339
| ~ spl0_379 ),
inference(superposition,[],[f3136,f3333]) ).
fof(f3728,plain,
spl0_458,
inference(avatar_split_clause,[],[f1365,f3726]) ).
fof(f1365,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f3724,plain,
spl0_457,
inference(avatar_split_clause,[],[f1364,f3722]) ).
fof(f1364,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f3720,plain,
spl0_456,
inference(avatar_split_clause,[],[f1363,f3718]) ).
fof(f1363,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f3716,plain,
spl0_455,
inference(avatar_split_clause,[],[f1362,f3714]) ).
fof(f1362,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3712,plain,
spl0_454,
inference(avatar_split_clause,[],[f1346,f3710]) ).
fof(f3710,plain,
( spl0_454
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1346,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3708,plain,
spl0_453,
inference(avatar_split_clause,[],[f1344,f3706]) ).
fof(f3706,plain,
( spl0_453
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1344,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3704,plain,
spl0_452,
inference(avatar_split_clause,[],[f1341,f3702]) ).
fof(f3702,plain,
( spl0_452
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1341,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
fof(f3700,plain,
spl0_451,
inference(avatar_split_clause,[],[f1324,f3698]) ).
fof(f1324,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3688,plain,
spl0_450,
inference(avatar_split_clause,[],[f1323,f3686]) ).
fof(f3686,plain,
( spl0_450
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1323,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3684,plain,
spl0_449,
inference(avatar_split_clause,[],[f1317,f3682]) ).
fof(f3682,plain,
( spl0_449
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1317,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3680,plain,
spl0_448,
inference(avatar_split_clause,[],[f1316,f3678]) ).
fof(f3678,plain,
( spl0_448
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1316,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3676,plain,
spl0_447,
inference(avatar_split_clause,[],[f1313,f3674]) ).
fof(f3674,plain,
( spl0_447
<=> ! [X13,X12,X1] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1313,axiom,
! [X1,X12,X13] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3672,plain,
spl0_446,
inference(avatar_split_clause,[],[f1308,f3670]) ).
fof(f3670,plain,
( spl0_446
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1308,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3668,plain,
spl0_445,
inference(avatar_split_clause,[],[f1307,f3666]) ).
fof(f3666,plain,
( spl0_445
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1307,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3664,plain,
spl0_444,
inference(avatar_split_clause,[],[f1306,f3662]) ).
fof(f3662,plain,
( spl0_444
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f1306,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3660,plain,
spl0_443,
inference(avatar_split_clause,[],[f1303,f3658]) ).
fof(f3658,plain,
( spl0_443
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1303,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3656,plain,
spl0_442,
inference(avatar_split_clause,[],[f1302,f3654]) ).
fof(f3654,plain,
( spl0_442
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1302,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3652,plain,
spl0_441,
inference(avatar_split_clause,[],[f1301,f3650]) ).
fof(f3650,plain,
( spl0_441
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1301,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3640,plain,
spl0_440,
inference(avatar_split_clause,[],[f1298,f3638]) ).
fof(f3638,plain,
( spl0_440
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1298,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3636,plain,
spl0_439,
inference(avatar_split_clause,[],[f1297,f3634]) ).
fof(f3634,plain,
( spl0_439
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f1297,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3632,plain,
spl0_438,
inference(avatar_split_clause,[],[f1296,f3630]) ).
fof(f3630,plain,
( spl0_438
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f1296,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3628,plain,
spl0_437,
inference(avatar_split_clause,[],[f1293,f3626]) ).
fof(f3626,plain,
( spl0_437
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f1293,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3624,plain,
spl0_436,
inference(avatar_split_clause,[],[f1292,f3622]) ).
fof(f3622,plain,
( spl0_436
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f1292,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3620,plain,
spl0_435,
inference(avatar_split_clause,[],[f1291,f3618]) ).
fof(f3618,plain,
( spl0_435
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f1291,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3616,plain,
spl0_434,
inference(avatar_split_clause,[],[f1247,f3614]) ).
fof(f1247,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3612,plain,
spl0_433,
inference(avatar_split_clause,[],[f1241,f3610]) ).
fof(f3610,plain,
( spl0_433
<=> ! [X18,X41,X49,X48,X1] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f1241,axiom,
! [X41,X48,X49,X1,X18] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3608,plain,
spl0_432,
inference(avatar_split_clause,[],[f1240,f3606]) ).
fof(f3606,plain,
( spl0_432
<=> ! [X41,X18,X49,X48,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1240,axiom,
! [X41,X48,X49,X18,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3604,plain,
spl0_431,
inference(avatar_split_clause,[],[f1225,f3602]) ).
fof(f1225,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3596,plain,
spl0_430,
inference(avatar_split_clause,[],[f1171,f3594]) ).
fof(f3594,plain,
( spl0_430
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f1171,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3592,plain,
spl0_429,
inference(avatar_split_clause,[],[f1169,f3590]) ).
fof(f3590,plain,
( spl0_429
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f1169,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3588,plain,
spl0_428,
inference(avatar_split_clause,[],[f1167,f3586]) ).
fof(f3586,plain,
( spl0_428
<=> ! [X2,X18,X27,X1] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1167,axiom,
! [X2,X18,X1,X27] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3584,plain,
spl0_427,
inference(avatar_split_clause,[],[f120,f3582]) ).
fof(f120,axiom,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3580,plain,
spl0_426,
inference(avatar_split_clause,[],[f110,f3578]) ).
fof(f110,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3576,plain,
spl0_425,
inference(avatar_split_clause,[],[f109,f3574]) ).
fof(f109,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3572,plain,
spl0_424,
inference(avatar_split_clause,[],[f49,f3570]) ).
fof(f49,axiom,
! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3568,plain,
spl0_423,
inference(avatar_split_clause,[],[f2,f3566]) ).
fof(f3566,plain,
( spl0_423
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3564,plain,
spl0_422,
inference(avatar_split_clause,[],[f1,f3562]) ).
fof(f3562,plain,
( spl0_422
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3556,plain,
( spl0_421
| ~ spl0_59
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f3539,f3449,f1689,f3553]) ).
fof(f3553,plain,
( spl0_421
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f1689,plain,
( spl0_59
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f3449,plain,
( spl0_402
<=> ! [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_402])]) ).
fof(f3539,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_59
| ~ spl0_402 ),
inference(resolution,[],[f3450,f1690]) ).
fof(f1690,plain,
( ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f3450,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f3534,plain,
spl0_420,
inference(avatar_split_clause,[],[f1399,f3532]) ).
fof(f1399,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__synthD__dest_0) ).
fof(f3530,plain,
spl0_419,
inference(avatar_split_clause,[],[f1394,f3528]) ).
fof(f1394,axiom,
! [X55,X53] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OHash_0) ).
fof(f3526,plain,
spl0_418,
inference(avatar_split_clause,[],[f1391,f3524]) ).
fof(f1391,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__partsD__dest_0) ).
fof(f3522,plain,
spl0_417,
inference(avatar_split_clause,[],[f1378,f3520]) ).
fof(f1378,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f3518,plain,
spl0_416,
inference(avatar_split_clause,[],[f1368,f3516]) ).
fof(f3516,plain,
( spl0_416
<=> ! [X21,X55] :
( c_in(c_Message_Omsg_ONonce(X21),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f1368,axiom,
! [X21,X55] :
( c_in(c_Message_Omsg_ONonce(X21),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_ONonce__synth_0) ).
fof(f3514,plain,
( spl0_415
| ~ spl0_312
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f3438,f3364,f3011,f3512]) ).
fof(f3512,plain,
( spl0_415
<=> ! [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_415])]) ).
fof(f3011,plain,
( spl0_312
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f3438,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_312
| ~ spl0_387 ),
inference(resolution,[],[f3365,f3012]) ).
fof(f3012,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f3510,plain,
spl0_414,
inference(avatar_split_clause,[],[f1361,f3508]) ).
fof(f3508,plain,
( spl0_414
<=> ! [X54,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f1361,axiom,
! [X54,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f3506,plain,
spl0_413,
inference(avatar_split_clause,[],[f1334,f3504]) ).
fof(f3504,plain,
( spl0_413
<=> ! [X18,X13,X27,X1] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f1334,axiom,
! [X18,X1,X27,X13] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3502,plain,
spl0_412,
inference(avatar_split_clause,[],[f1327,f3500]) ).
fof(f3500,plain,
( spl0_412
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f1327,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3498,plain,
spl0_411,
inference(avatar_split_clause,[],[f1326,f3496]) ).
fof(f3496,plain,
( spl0_411
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1326,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3494,plain,
spl0_410,
inference(avatar_split_clause,[],[f1320,f3492]) ).
fof(f1320,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3490,plain,
spl0_409,
inference(avatar_split_clause,[],[f1319,f3488]) ).
fof(f1319,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3486,plain,
spl0_408,
inference(avatar_split_clause,[],[f1312,f3484]) ).
fof(f3484,plain,
( spl0_408
<=> ! [X12,X1,X4] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f1312,axiom,
! [X1,X4,X12] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3482,plain,
spl0_407,
inference(avatar_split_clause,[],[f1311,f3480]) ).
fof(f3480,plain,
( spl0_407
<=> ! [X12,X1,X4] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f1311,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3478,plain,
spl0_406,
inference(avatar_split_clause,[],[f1265,f3476]) ).
fof(f3476,plain,
( spl0_406
<=> ! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1265,axiom,
! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3474,plain,
spl0_405,
inference(avatar_split_clause,[],[f1264,f3472]) ).
fof(f3472,plain,
( spl0_405
<=> ! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1264,axiom,
! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3470,plain,
( spl0_404
| ~ spl0_311
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f3437,f3364,f3007,f3468]) ).
fof(f3468,plain,
( spl0_404
<=> ! [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_404])]) ).
fof(f3007,plain,
( spl0_311
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f3437,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_311
| ~ spl0_387 ),
inference(resolution,[],[f3365,f3008]) ).
fof(f3008,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f3466,plain,
spl0_403,
inference(avatar_split_clause,[],[f1160,f3464]) ).
fof(f1160,axiom,
! [X40,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3451,plain,
( spl0_402
| ~ spl0_318
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f3434,f3360,f3035,f3449]) ).
fof(f3035,plain,
( spl0_318
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f3434,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_318
| ~ spl0_386 ),
inference(resolution,[],[f3361,f3036]) ).
fof(f3036,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint)
| c_0 = X15 )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f3422,plain,
spl0_401,
inference(avatar_split_clause,[],[f1388,f3420]) ).
fof(f3420,plain,
( spl0_401
<=> ! [X61,X57,X62,X58] :
( X61 = X62
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1388,axiom,
! [X58,X57,X62,X61] :
( X61 = X62
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_1) ).
fof(f3418,plain,
spl0_400,
inference(avatar_split_clause,[],[f1387,f3416]) ).
fof(f3416,plain,
( spl0_400
<=> ! [X61,X57,X58,X62] :
( X57 = X58
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1387,axiom,
! [X58,X57,X62,X61] :
( X57 = X58
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_0) ).
fof(f3414,plain,
spl0_399,
inference(avatar_split_clause,[],[f1386,f3412]) ).
fof(f3412,plain,
( spl0_399
<=> ! [X66,X64,X65,X63] :
( X64 = X66
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1386,axiom,
! [X65,X63,X66,X64] :
( X64 = X66
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_1) ).
fof(f3410,plain,
spl0_398,
inference(avatar_split_clause,[],[f1385,f3408]) ).
fof(f3408,plain,
( spl0_398
<=> ! [X65,X64,X63,X66] :
( X63 = X65
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1385,axiom,
! [X65,X63,X66,X64] :
( X63 = X65
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_0) ).
fof(f3406,plain,
spl0_397,
inference(avatar_split_clause,[],[f1285,f3404]) ).
fof(f1285,axiom,
! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3402,plain,
spl0_396,
inference(avatar_split_clause,[],[f1260,f3400]) ).
fof(f3400,plain,
( spl0_396
<=> ! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1260,axiom,
! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3398,plain,
spl0_395,
inference(avatar_split_clause,[],[f1259,f3396]) ).
fof(f3396,plain,
( spl0_395
<=> ! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1259,axiom,
! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3394,plain,
spl0_394,
inference(avatar_split_clause,[],[f1258,f3392]) ).
fof(f3392,plain,
( spl0_394
<=> ! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1258,axiom,
! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3390,plain,
spl0_393,
inference(avatar_split_clause,[],[f1257,f3388]) ).
fof(f3388,plain,
( spl0_393
<=> ! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1257,axiom,
! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3386,plain,
spl0_392,
inference(avatar_split_clause,[],[f1246,f3384]) ).
fof(f3384,plain,
( spl0_392
<=> ! [X25,X1,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1246,axiom,
! [X1,X25,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3382,plain,
spl0_391,
inference(avatar_split_clause,[],[f1235,f3380]) ).
fof(f3380,plain,
( spl0_391
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f1235,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3378,plain,
spl0_390,
inference(avatar_split_clause,[],[f1231,f3376]) ).
fof(f3376,plain,
( spl0_390
<=> ! [X45,X44,X46,X47] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f1231,axiom,
! [X46,X47,X44,X45] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3374,plain,
spl0_389,
inference(avatar_split_clause,[],[f1230,f3372]) ).
fof(f3372,plain,
( spl0_389
<=> ! [X44,X47,X46,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f1230,axiom,
! [X46,X47,X44,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3370,plain,
spl0_388,
inference(avatar_split_clause,[],[f1209,f3368]) ).
fof(f1209,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3366,plain,
spl0_387,
inference(avatar_split_clause,[],[f1208,f3364]) ).
fof(f1208,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3362,plain,
spl0_386,
inference(avatar_split_clause,[],[f1205,f3360]) ).
fof(f1205,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3358,plain,
spl0_385,
inference(avatar_split_clause,[],[f1204,f3356]) ).
fof(f1204,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3354,plain,
spl0_384,
inference(avatar_split_clause,[],[f1176,f3352]) ).
fof(f3352,plain,
( spl0_384
<=> ! [X9,X7,X16,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f1176,axiom,
! [X2,X1,X9,X7,X16] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
fof(f3350,plain,
spl0_383,
inference(avatar_split_clause,[],[f1174,f3348]) ).
fof(f3348,plain,
( spl0_383
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1174,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f3346,plain,
spl0_382,
inference(avatar_split_clause,[],[f1168,f3344]) ).
fof(f3344,plain,
( spl0_382
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1168,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3342,plain,
spl0_381,
inference(avatar_split_clause,[],[f1166,f3340]) ).
fof(f1166,axiom,
! [X41,X18,X1] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3338,plain,
spl0_380,
inference(avatar_split_clause,[],[f1163,f3336]) ).
fof(f1163,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3334,plain,
spl0_379,
inference(avatar_split_clause,[],[f1162,f3332]) ).
fof(f1162,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3330,plain,
spl0_378,
inference(avatar_split_clause,[],[f105,f3328]) ).
fof(f105,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3326,plain,
spl0_377,
inference(avatar_split_clause,[],[f103,f3324]) ).
fof(f3324,plain,
( spl0_377
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f103,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3322,plain,
spl0_376,
inference(avatar_split_clause,[],[f102,f3320]) ).
fof(f3320,plain,
( spl0_376
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f102,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3300,plain,
spl0_375,
inference(avatar_split_clause,[],[f1395,f3298]) ).
fof(f1395,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f3296,plain,
spl0_374,
inference(avatar_split_clause,[],[f1389,f3294]) ).
fof(f1389,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3292,plain,
spl0_373,
inference(avatar_split_clause,[],[f1377,f3290]) ).
fof(f1377,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3288,plain,
spl0_372,
inference(avatar_split_clause,[],[f1349,f3286]) ).
fof(f3286,plain,
( spl0_372
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f1349,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3284,plain,
spl0_371,
inference(avatar_split_clause,[],[f1348,f3282]) ).
fof(f3282,plain,
( spl0_371
<=> ! [X5,X1] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1348,axiom,
! [X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3280,plain,
spl0_370,
inference(avatar_split_clause,[],[f1347,f3278]) ).
fof(f3278,plain,
( spl0_370
<=> ! [X2,X27,X1,X18] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f1347,axiom,
! [X2,X18,X1,X27] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
fof(f3276,plain,
spl0_369,
inference(avatar_split_clause,[],[f1330,f3274]) ).
fof(f3274,plain,
( spl0_369
<=> ! [X13,X12,X1] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f1330,axiom,
! [X1,X12,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3272,plain,
spl0_368,
inference(avatar_split_clause,[],[f1329,f3270]) ).
fof(f3270,plain,
( spl0_368
<=> ! [X13,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f1329,axiom,
! [X1,X12,X13] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3268,plain,
spl0_367,
inference(avatar_split_clause,[],[f1267,f3266]) ).
fof(f3266,plain,
( spl0_367
<=> ! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f1267,axiom,
! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3262,plain,
spl0_366,
inference(avatar_split_clause,[],[f1266,f3260]) ).
fof(f3260,plain,
( spl0_366
<=> ! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1266,axiom,
! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3258,plain,
spl0_365,
inference(avatar_split_clause,[],[f1250,f3256]) ).
fof(f3256,plain,
( spl0_365
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f1250,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3254,plain,
spl0_364,
inference(avatar_split_clause,[],[f1248,f3252]) ).
fof(f3252,plain,
( spl0_364
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f1248,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3250,plain,
spl0_363,
inference(avatar_split_clause,[],[f1232,f3248]) ).
fof(f3248,plain,
( spl0_363
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f1232,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3246,plain,
spl0_362,
inference(avatar_split_clause,[],[f1223,f3244]) ).
fof(f3244,plain,
( spl0_362
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1223,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(f3242,plain,
spl0_361,
inference(avatar_split_clause,[],[f1211,f3240]) ).
fof(f3240,plain,
( spl0_361
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f1211,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f3238,plain,
spl0_360,
inference(avatar_split_clause,[],[f1184,f3236]) ).
fof(f3236,plain,
( spl0_360
<=> ! [X5,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f1184,axiom,
! [X1,X5,X12] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3234,plain,
spl0_359,
inference(avatar_split_clause,[],[f1173,f3232]) ).
fof(f3232,plain,
( spl0_359
<=> ! [X2,X16,X1,X18] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f1173,axiom,
! [X2,X18,X1,X16] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).
fof(f3230,plain,
spl0_358,
inference(avatar_split_clause,[],[f1170,f3228]) ).
fof(f3228,plain,
( spl0_358
<=> ! [X2,X1,X7,X9] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f1170,axiom,
! [X2,X1,X9,X7] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).
fof(f3226,plain,
spl0_357,
inference(avatar_split_clause,[],[f63,f3224]) ).
fof(f3224,plain,
( spl0_357
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f63,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3220,plain,
spl0_356,
inference(avatar_split_clause,[],[f62,f3218]) ).
fof(f3218,plain,
( spl0_356
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f62,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3216,plain,
spl0_355,
inference(avatar_split_clause,[],[f38,f3214]) ).
fof(f3214,plain,
( spl0_355
<=> ! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f38,axiom,
! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3212,plain,
spl0_354,
inference(avatar_split_clause,[],[f35,f3210]) ).
fof(f35,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3208,plain,
spl0_353,
inference(avatar_split_clause,[],[f34,f3206]) ).
fof(f34,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3189,plain,
( spl0_352
| ~ spl0_312
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f3068,f3035,f3011,f3187]) ).
fof(f3187,plain,
( spl0_352
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f3068,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_312
| ~ spl0_318 ),
inference(resolution,[],[f3036,f3012]) ).
fof(f3185,plain,
spl0_351,
inference(avatar_split_clause,[],[f1384,f3183]) ).
fof(f3183,plain,
( spl0_351
<=> ! [X61,X62] :
( X61 = X62
| c_Message_Omsg_OHash(X61) != c_Message_Omsg_OHash(X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f1384,axiom,
! [X62,X61] :
( X61 = X62
| c_Message_Omsg_OHash(X61) != c_Message_Omsg_OHash(X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__5__iff1_0) ).
fof(f3181,plain,
spl0_350,
inference(avatar_split_clause,[],[f1383,f3179]) ).
fof(f3179,plain,
( spl0_350
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_OKey(X58) != c_Message_Omsg_OKey(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f1383,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_OKey(X58) != c_Message_Omsg_OKey(X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__4__iff1_0) ).
fof(f3177,plain,
( spl0_349
| ~ spl0_311
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f3067,f3035,f3007,f3175]) ).
fof(f3175,plain,
( spl0_349
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f3067,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_311
| ~ spl0_318 ),
inference(resolution,[],[f3036,f3008]) ).
fof(f3173,plain,
spl0_348,
inference(avatar_split_clause,[],[f1382,f3171]) ).
fof(f3171,plain,
( spl0_348
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_ONonce(X58) != c_Message_Omsg_ONonce(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f1382,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_ONonce(X58) != c_Message_Omsg_ONonce(X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__3__iff1_0) ).
fof(f3169,plain,
spl0_347,
inference(avatar_split_clause,[],[f1381,f3167]) ).
fof(f3167,plain,
( spl0_347
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_ONumber(X58) != c_Message_Omsg_ONumber(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f1381,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_ONumber(X58) != c_Message_Omsg_ONumber(X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__2__iff1_0) ).
fof(f3165,plain,
spl0_346,
inference(avatar_split_clause,[],[f1380,f3163]) ).
fof(f3163,plain,
( spl0_346
<=> ! [X60,X59] :
( X59 = X60
| c_Message_Omsg_OAgent(X59) != c_Message_Omsg_OAgent(X60) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f1380,axiom,
! [X59,X60] :
( X59 = X60
| c_Message_Omsg_OAgent(X59) != c_Message_Omsg_OAgent(X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__1__iff1_0) ).
fof(f3161,plain,
spl0_345,
inference(avatar_split_clause,[],[f1375,f3159]) ).
fof(f3159,plain,
( spl0_345
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Oagent_OFriend(X57) != c_Message_Oagent_OFriend(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f1375,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Oagent_OFriend(X57) != c_Message_Oagent_OFriend(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Oinject__iff1_0) ).
fof(f3157,plain,
spl0_344,
inference(avatar_split_clause,[],[f1271,f3155]) ).
fof(f3155,plain,
( spl0_344
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f1271,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3153,plain,
spl0_343,
inference(avatar_split_clause,[],[f1256,f3151]) ).
fof(f3151,plain,
( spl0_343
<=> ! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f1256,axiom,
! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3149,plain,
spl0_342,
inference(avatar_split_clause,[],[f1252,f3147]) ).
fof(f3147,plain,
( spl0_342
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f1252,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff1_0) ).
fof(f3145,plain,
spl0_341,
inference(avatar_split_clause,[],[f1244,f3143]) ).
fof(f3143,plain,
( spl0_341
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f1244,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff1_0) ).
fof(f3141,plain,
spl0_340,
inference(avatar_split_clause,[],[f1203,f3139]) ).
fof(f3139,plain,
( spl0_340
<=> ! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f1203,axiom,
! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3137,plain,
spl0_339,
inference(avatar_split_clause,[],[f1161,f3135]) ).
fof(f1161,axiom,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3133,plain,
( spl0_338
| ~ spl0_310
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f3065,f3031,f3003,f3131]) ).
fof(f3131,plain,
( spl0_338
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f3003,plain,
( spl0_310
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f3065,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_310
| ~ spl0_317 ),
inference(resolution,[],[f3032,f3004]) ).
fof(f3004,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat)
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3129,plain,
spl0_337,
inference(avatar_split_clause,[],[f252,f3127]) ).
fof(f3127,plain,
( spl0_337
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f252,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3125,plain,
spl0_336,
inference(avatar_split_clause,[],[f246,f3123]) ).
fof(f3123,plain,
( spl0_336
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f246,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3121,plain,
spl0_335,
inference(avatar_split_clause,[],[f196,f3119]) ).
fof(f3119,plain,
( spl0_335
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f196,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3117,plain,
spl0_334,
inference(avatar_split_clause,[],[f94,f3115]) ).
fof(f94,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3113,plain,
spl0_333,
inference(avatar_split_clause,[],[f93,f3111]) ).
fof(f93,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3109,plain,
spl0_332,
inference(avatar_split_clause,[],[f92,f3107]) ).
fof(f92,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3105,plain,
spl0_331,
inference(avatar_split_clause,[],[f91,f3103]) ).
fof(f91,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3101,plain,
spl0_330,
inference(avatar_split_clause,[],[f89,f3099]) ).
fof(f89,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3097,plain,
spl0_329,
inference(avatar_split_clause,[],[f88,f3095]) ).
fof(f88,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3093,plain,
spl0_328,
inference(avatar_split_clause,[],[f87,f3091]) ).
fof(f87,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3089,plain,
( spl0_327
| ~ spl0_309
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f3064,f3031,f2999,f3087]) ).
fof(f3087,plain,
( spl0_327
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f2999,plain,
( spl0_309
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3064,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_309
| ~ spl0_317 ),
inference(resolution,[],[f3032,f3000]) ).
fof(f3000,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat)
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f3085,plain,
spl0_326,
inference(avatar_split_clause,[],[f86,f3083]) ).
fof(f86,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3081,plain,
spl0_325,
inference(avatar_split_clause,[],[f37,f3079]) ).
fof(f3079,plain,
( spl0_325
<=> ! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f37,axiom,
! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3061,plain,
spl0_324,
inference(avatar_split_clause,[],[f1335,f3059]) ).
fof(f1335,axiom,
! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3057,plain,
spl0_323,
inference(avatar_split_clause,[],[f1278,f3055]) ).
fof(f3055,plain,
( spl0_323
<=> ! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f1278,axiom,
! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f3053,plain,
spl0_322,
inference(avatar_split_clause,[],[f1277,f3051]) ).
fof(f3051,plain,
( spl0_322
<=> ! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f1277,axiom,
! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f3049,plain,
spl0_321,
inference(avatar_split_clause,[],[f1275,f3047]) ).
fof(f1275,axiom,
! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f3045,plain,
spl0_320,
inference(avatar_split_clause,[],[f1273,f3043]) ).
fof(f3043,plain,
( spl0_320
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f1273,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f3041,plain,
spl0_319,
inference(avatar_split_clause,[],[f1269,f3039]) ).
fof(f3039,plain,
( spl0_319
<=> ! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f1269,axiom,
! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f3037,plain,
spl0_318,
inference(avatar_split_clause,[],[f1206,f3035]) ).
fof(f1206,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f3033,plain,
spl0_317,
inference(avatar_split_clause,[],[f1182,f3031]) ).
fof(f1182,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f3029,plain,
spl0_316,
inference(avatar_split_clause,[],[f95,f3027]) ).
fof(f95,axiom,
! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3025,plain,
spl0_315,
inference(avatar_split_clause,[],[f90,f3023]) ).
fof(f90,axiom,
! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3021,plain,
spl0_314,
inference(avatar_split_clause,[],[f61,f3019]) ).
fof(f3019,plain,
( spl0_314
<=> ! [X12,X1] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f61,axiom,
! [X1,X12] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3017,plain,
spl0_313,
inference(avatar_split_clause,[],[f45,f3015]) ).
fof(f45,axiom,
! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3013,plain,
spl0_312,
inference(avatar_split_clause,[],[f42,f3011]) ).
fof(f42,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3009,plain,
spl0_311,
inference(avatar_split_clause,[],[f41,f3007]) ).
fof(f41,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3005,plain,
spl0_310,
inference(avatar_split_clause,[],[f26,f3003]) ).
fof(f26,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3001,plain,
spl0_309,
inference(avatar_split_clause,[],[f25,f2999]) ).
fof(f25,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f2997,plain,
spl0_308,
inference(avatar_split_clause,[],[f1397,f2995]) ).
fof(f2995,plain,
( spl0_308
<=> ! [X21,X55] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X55),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f1397,axiom,
! [X21,X55] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X55),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_ONumber_0) ).
fof(f2993,plain,
spl0_307,
inference(avatar_split_clause,[],[f1392,f2991]) ).
fof(f2991,plain,
( spl0_307
<=> ! [X55,X67] : c_in(c_Message_Omsg_OAgent(X67),c_Message_Osynth(X55),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1392,axiom,
! [X55,X67] : c_in(c_Message_Omsg_OAgent(X67),c_Message_Osynth(X55),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OAgent_0) ).
fof(f2989,plain,
spl0_306,
inference(avatar_split_clause,[],[f1331,f2987]) ).
fof(f2987,plain,
( spl0_306
<=> ! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f1331,axiom,
! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f2985,plain,
spl0_305,
inference(avatar_split_clause,[],[f1282,f2983]) ).
fof(f2983,plain,
( spl0_305
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1282,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f2981,plain,
spl0_304,
inference(avatar_split_clause,[],[f1268,f2978]) ).
fof(f2978,plain,
( spl0_304
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f1268,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f2976,plain,
spl0_303,
inference(avatar_split_clause,[],[f1238,f2974]) ).
fof(f2974,plain,
( spl0_303
<=> ! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1238,axiom,
! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1__iff1_0) ).
fof(f2972,plain,
spl0_302,
inference(avatar_split_clause,[],[f1233,f2970]) ).
fof(f1233,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2968,plain,
spl0_301,
inference(avatar_split_clause,[],[f1229,f2966]) ).
fof(f1229,axiom,
! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f2964,plain,
spl0_300,
inference(avatar_split_clause,[],[f1227,f2962]) ).
fof(f1227,axiom,
! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f2960,plain,
spl0_299,
inference(avatar_split_clause,[],[f1187,f2958]) ).
fof(f2958,plain,
( spl0_299
<=> ! [X5,X1] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1187,axiom,
! [X1,X5] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f2956,plain,
spl0_298,
inference(avatar_split_clause,[],[f68,f2954]) ).
fof(f2954,plain,
( spl0_298
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2952,plain,
spl0_297,
inference(avatar_split_clause,[],[f1390,f2950]) ).
fof(f1390,axiom,
! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__emptyE_0) ).
fof(f2948,plain,
spl0_296,
inference(avatar_split_clause,[],[f1337,f2946]) ).
fof(f2946,plain,
( spl0_296
<=> ! [X12,X1] : ~ c_less(X12,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f1337,axiom,
! [X1,X12] : ~ c_less(X12,c_emptyset,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2944,plain,
spl0_295,
inference(avatar_split_clause,[],[f1255,f2942]) ).
fof(f2942,plain,
( spl0_295
<=> ! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f1255,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty__iff2_0) ).
fof(f2940,plain,
spl0_294,
inference(avatar_split_clause,[],[f1245,f2938]) ).
fof(f1245,axiom,
! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff2_0) ).
fof(f2936,plain,
~ spl0_293,
inference(avatar_split_clause,[],[f1202,f2933]) ).
fof(f2933,plain,
( spl0_293
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f1202,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f2931,plain,
spl0_292,
inference(avatar_split_clause,[],[f1165,f2929]) ).
fof(f2929,plain,
( spl0_292
<=> ! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1165,axiom,
! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
fof(f2927,plain,
spl0_291,
inference(avatar_split_clause,[],[f250,f2925]) ).
fof(f2925,plain,
( spl0_291
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f250,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f2923,plain,
spl0_290,
inference(avatar_split_clause,[],[f128,f2921]) ).
fof(f2921,plain,
( spl0_290
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f128,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f2919,plain,
spl0_289,
inference(avatar_split_clause,[],[f112,f2917]) ).
fof(f112,axiom,
! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2915,plain,
spl0_288,
inference(avatar_split_clause,[],[f101,f2913]) ).
fof(f101,axiom,
! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2911,plain,
spl0_287,
inference(avatar_split_clause,[],[f67,f2909]) ).
fof(f2909,plain,
( spl0_287
<=> ! [X21] : c_less(c_0,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f67,axiom,
! [X21] : c_less(c_0,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2907,plain,
spl0_286,
inference(avatar_split_clause,[],[f65,f2905]) ).
fof(f2905,plain,
( spl0_286
<=> ! [X21] : c_less(X21,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f65,axiom,
! [X21] : c_less(X21,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2903,plain,
spl0_285,
inference(avatar_split_clause,[],[f28,f2901]) ).
fof(f2901,plain,
( spl0_285
<=> ! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f28,axiom,
! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2899,plain,
spl0_284,
inference(avatar_split_clause,[],[f24,f2897]) ).
fof(f2897,plain,
( spl0_284
<=> ! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f24,axiom,
! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2588,plain,
spl0_283,
inference(avatar_split_clause,[],[f1373,f2586]) ).
fof(f2586,plain,
( spl0_283
<=> ! [X58] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X58) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1373,axiom,
! [X58] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X58),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__5__iff1_0) ).
fof(f2584,plain,
spl0_282,
inference(avatar_split_clause,[],[f1370,f2582]) ).
fof(f2582,plain,
( spl0_282
<=> ! [X57] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1370,axiom,
! [X57] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__2__iff1_0) ).
fof(f2580,plain,
spl0_281,
inference(avatar_split_clause,[],[f1333,f2578]) ).
fof(f1333,axiom,
! [X18,X1] : ~ c_in(X18,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2576,plain,
spl0_280,
inference(avatar_split_clause,[],[f1279,f2574]) ).
fof(f2574,plain,
( spl0_280
<=> ! [X21] : ~ c_less(X21,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1279,axiom,
! [X21] : ~ c_less(X21,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f2572,plain,
spl0_279,
inference(avatar_split_clause,[],[f1274,f2569]) ).
fof(f2569,plain,
( spl0_279
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1274,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f2567,plain,
spl0_278,
inference(avatar_split_clause,[],[f1262,f2565]) ).
fof(f2565,plain,
( spl0_278
<=> ! [X15] : c_0 != c_Suc(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1262,axiom,
! [X15] : c_0 != c_Suc(X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f2563,plain,
spl0_277,
inference(avatar_split_clause,[],[f1159,f2561]) ).
fof(f2561,plain,
( spl0_277
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1159,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2559,plain,
spl0_276,
inference(avatar_split_clause,[],[f1158,f2557]) ).
fof(f2557,plain,
( spl0_276
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1158,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2555,plain,
spl0_275,
inference(avatar_split_clause,[],[f1157,f2553]) ).
fof(f2553,plain,
( spl0_275
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1157,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2551,plain,
spl0_274,
inference(avatar_split_clause,[],[f1156,f2549]) ).
fof(f2549,plain,
( spl0_274
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1156,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2547,plain,
spl0_273,
inference(avatar_split_clause,[],[f1155,f2545]) ).
fof(f2545,plain,
( spl0_273
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1155,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2543,plain,
spl0_272,
inference(avatar_split_clause,[],[f1154,f2541]) ).
fof(f2541,plain,
( spl0_272
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1154,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2539,plain,
spl0_271,
inference(avatar_split_clause,[],[f1067,f2537]) ).
fof(f2537,plain,
( spl0_271
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1067,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2535,plain,
spl0_270,
inference(avatar_split_clause,[],[f1059,f2533]) ).
fof(f2533,plain,
( spl0_270
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1059,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2531,plain,
spl0_269,
inference(avatar_split_clause,[],[f1058,f2529]) ).
fof(f2529,plain,
( spl0_269
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1058,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2527,plain,
spl0_268,
inference(avatar_split_clause,[],[f1048,f2525]) ).
fof(f2525,plain,
( spl0_268
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1048,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2523,plain,
spl0_267,
inference(avatar_split_clause,[],[f1047,f2521]) ).
fof(f2521,plain,
( spl0_267
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1047,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2519,plain,
spl0_266,
inference(avatar_split_clause,[],[f1046,f2517]) ).
fof(f2517,plain,
( spl0_266
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1046,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2515,plain,
spl0_265,
inference(avatar_split_clause,[],[f1044,f2513]) ).
fof(f2513,plain,
( spl0_265
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1044,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2511,plain,
spl0_264,
inference(avatar_split_clause,[],[f1043,f2509]) ).
fof(f2509,plain,
( spl0_264
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1043,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2507,plain,
spl0_263,
inference(avatar_split_clause,[],[f1042,f2505]) ).
fof(f2505,plain,
( spl0_263
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1042,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2503,plain,
spl0_262,
inference(avatar_split_clause,[],[f1041,f2501]) ).
fof(f2501,plain,
( spl0_262
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1041,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2499,plain,
spl0_261,
inference(avatar_split_clause,[],[f1040,f2497]) ).
fof(f2497,plain,
( spl0_261
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1040,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2495,plain,
spl0_260,
inference(avatar_split_clause,[],[f1024,f2493]) ).
fof(f2493,plain,
( spl0_260
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f1024,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2491,plain,
spl0_259,
inference(avatar_split_clause,[],[f1023,f2489]) ).
fof(f2489,plain,
( spl0_259
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1023,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2487,plain,
spl0_258,
inference(avatar_split_clause,[],[f1022,f2485]) ).
fof(f2485,plain,
( spl0_258
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f1022,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2483,plain,
spl0_257,
inference(avatar_split_clause,[],[f1021,f2481]) ).
fof(f2481,plain,
( spl0_257
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1021,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2479,plain,
spl0_256,
inference(avatar_split_clause,[],[f989,f2477]) ).
fof(f2477,plain,
( spl0_256
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f989,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2475,plain,
spl0_255,
inference(avatar_split_clause,[],[f980,f2473]) ).
fof(f2473,plain,
( spl0_255
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f980,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2471,plain,
spl0_254,
inference(avatar_split_clause,[],[f979,f2469]) ).
fof(f2469,plain,
( spl0_254
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f979,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2467,plain,
spl0_253,
inference(avatar_split_clause,[],[f976,f2465]) ).
fof(f2465,plain,
( spl0_253
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f976,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2463,plain,
spl0_252,
inference(avatar_split_clause,[],[f966,f2461]) ).
fof(f2461,plain,
( spl0_252
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f966,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2459,plain,
spl0_251,
inference(avatar_split_clause,[],[f965,f2457]) ).
fof(f2457,plain,
( spl0_251
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f965,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2455,plain,
spl0_250,
inference(avatar_split_clause,[],[f962,f2453]) ).
fof(f2453,plain,
( spl0_250
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f962,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2451,plain,
spl0_249,
inference(avatar_split_clause,[],[f961,f2449]) ).
fof(f2449,plain,
( spl0_249
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f961,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2447,plain,
spl0_248,
inference(avatar_split_clause,[],[f957,f2445]) ).
fof(f2445,plain,
( spl0_248
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f957,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2443,plain,
spl0_247,
inference(avatar_split_clause,[],[f955,f2441]) ).
fof(f2441,plain,
( spl0_247
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f955,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2439,plain,
spl0_246,
inference(avatar_split_clause,[],[f954,f2437]) ).
fof(f2437,plain,
( spl0_246
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f954,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2435,plain,
spl0_245,
inference(avatar_split_clause,[],[f947,f2433]) ).
fof(f2433,plain,
( spl0_245
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f947,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2431,plain,
spl0_244,
inference(avatar_split_clause,[],[f946,f2429]) ).
fof(f2429,plain,
( spl0_244
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f946,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2427,plain,
spl0_243,
inference(avatar_split_clause,[],[f941,f2425]) ).
fof(f2425,plain,
( spl0_243
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f941,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2423,plain,
spl0_242,
inference(avatar_split_clause,[],[f940,f2421]) ).
fof(f2421,plain,
( spl0_242
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f940,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2419,plain,
spl0_241,
inference(avatar_split_clause,[],[f939,f2417]) ).
fof(f2417,plain,
( spl0_241
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f939,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2415,plain,
spl0_240,
inference(avatar_split_clause,[],[f938,f2413]) ).
fof(f2413,plain,
( spl0_240
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f938,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2411,plain,
spl0_239,
inference(avatar_split_clause,[],[f937,f2409]) ).
fof(f2409,plain,
( spl0_239
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f937,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2407,plain,
spl0_238,
inference(avatar_split_clause,[],[f936,f2405]) ).
fof(f2405,plain,
( spl0_238
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f936,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2403,plain,
spl0_237,
inference(avatar_split_clause,[],[f935,f2401]) ).
fof(f2401,plain,
( spl0_237
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f935,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2399,plain,
spl0_236,
inference(avatar_split_clause,[],[f934,f2397]) ).
fof(f2397,plain,
( spl0_236
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f934,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2395,plain,
spl0_235,
inference(avatar_split_clause,[],[f933,f2393]) ).
fof(f2393,plain,
( spl0_235
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f933,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2391,plain,
spl0_234,
inference(avatar_split_clause,[],[f924,f2389]) ).
fof(f2389,plain,
( spl0_234
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f924,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2387,plain,
spl0_233,
inference(avatar_split_clause,[],[f923,f2385]) ).
fof(f2385,plain,
( spl0_233
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f923,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2383,plain,
spl0_232,
inference(avatar_split_clause,[],[f922,f2381]) ).
fof(f2381,plain,
( spl0_232
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f922,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2379,plain,
spl0_231,
inference(avatar_split_clause,[],[f921,f2377]) ).
fof(f2377,plain,
( spl0_231
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f921,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2375,plain,
spl0_230,
inference(avatar_split_clause,[],[f920,f2373]) ).
fof(f2373,plain,
( spl0_230
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f920,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2371,plain,
spl0_229,
inference(avatar_split_clause,[],[f919,f2369]) ).
fof(f2369,plain,
( spl0_229
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f919,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2367,plain,
spl0_228,
inference(avatar_split_clause,[],[f918,f2365]) ).
fof(f2365,plain,
( spl0_228
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f918,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2363,plain,
spl0_227,
inference(avatar_split_clause,[],[f917,f2361]) ).
fof(f2361,plain,
( spl0_227
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f917,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2359,plain,
spl0_226,
inference(avatar_split_clause,[],[f916,f2357]) ).
fof(f2357,plain,
( spl0_226
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f916,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2355,plain,
spl0_225,
inference(avatar_split_clause,[],[f915,f2353]) ).
fof(f2353,plain,
( spl0_225
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f915,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2351,plain,
spl0_224,
inference(avatar_split_clause,[],[f913,f2349]) ).
fof(f2349,plain,
( spl0_224
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f913,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2347,plain,
spl0_223,
inference(avatar_split_clause,[],[f912,f2345]) ).
fof(f2345,plain,
( spl0_223
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f912,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2343,plain,
spl0_222,
inference(avatar_split_clause,[],[f911,f2341]) ).
fof(f2341,plain,
( spl0_222
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f911,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2339,plain,
spl0_221,
inference(avatar_split_clause,[],[f910,f2337]) ).
fof(f2337,plain,
( spl0_221
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f910,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2335,plain,
spl0_220,
inference(avatar_split_clause,[],[f909,f2333]) ).
fof(f2333,plain,
( spl0_220
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f909,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2331,plain,
spl0_219,
inference(avatar_split_clause,[],[f908,f2329]) ).
fof(f2329,plain,
( spl0_219
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f908,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2327,plain,
spl0_218,
inference(avatar_split_clause,[],[f883,f2325]) ).
fof(f2325,plain,
( spl0_218
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f883,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2323,plain,
spl0_217,
inference(avatar_split_clause,[],[f882,f2321]) ).
fof(f2321,plain,
( spl0_217
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f882,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2319,plain,
spl0_216,
inference(avatar_split_clause,[],[f881,f2317]) ).
fof(f2317,plain,
( spl0_216
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f881,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2315,plain,
spl0_215,
inference(avatar_split_clause,[],[f880,f2313]) ).
fof(f2313,plain,
( spl0_215
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f880,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2311,plain,
spl0_214,
inference(avatar_split_clause,[],[f879,f2309]) ).
fof(f2309,plain,
( spl0_214
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f879,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2307,plain,
spl0_213,
inference(avatar_split_clause,[],[f878,f2305]) ).
fof(f2305,plain,
( spl0_213
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f878,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2303,plain,
spl0_212,
inference(avatar_split_clause,[],[f876,f2301]) ).
fof(f2301,plain,
( spl0_212
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f876,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2299,plain,
spl0_211,
inference(avatar_split_clause,[],[f875,f2297]) ).
fof(f2297,plain,
( spl0_211
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f875,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2295,plain,
spl0_210,
inference(avatar_split_clause,[],[f874,f2293]) ).
fof(f2293,plain,
( spl0_210
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f874,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2291,plain,
spl0_209,
inference(avatar_split_clause,[],[f873,f2289]) ).
fof(f2289,plain,
( spl0_209
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f873,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2287,plain,
spl0_208,
inference(avatar_split_clause,[],[f872,f2285]) ).
fof(f2285,plain,
( spl0_208
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f872,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2283,plain,
spl0_207,
inference(avatar_split_clause,[],[f871,f2281]) ).
fof(f2281,plain,
( spl0_207
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f871,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2279,plain,
spl0_206,
inference(avatar_split_clause,[],[f870,f2277]) ).
fof(f2277,plain,
( spl0_206
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f870,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2275,plain,
spl0_205,
inference(avatar_split_clause,[],[f869,f2273]) ).
fof(f2273,plain,
( spl0_205
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f869,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2271,plain,
spl0_204,
inference(avatar_split_clause,[],[f868,f2269]) ).
fof(f2269,plain,
( spl0_204
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f868,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2267,plain,
spl0_203,
inference(avatar_split_clause,[],[f867,f2265]) ).
fof(f2265,plain,
( spl0_203
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f867,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2263,plain,
spl0_202,
inference(avatar_split_clause,[],[f865,f2261]) ).
fof(f2261,plain,
( spl0_202
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f865,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2259,plain,
spl0_201,
inference(avatar_split_clause,[],[f864,f2257]) ).
fof(f2257,plain,
( spl0_201
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f864,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2255,plain,
spl0_200,
inference(avatar_split_clause,[],[f863,f2253]) ).
fof(f2253,plain,
( spl0_200
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f863,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2251,plain,
spl0_199,
inference(avatar_split_clause,[],[f862,f2249]) ).
fof(f2249,plain,
( spl0_199
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f862,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2247,plain,
spl0_198,
inference(avatar_split_clause,[],[f861,f2245]) ).
fof(f2245,plain,
( spl0_198
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f861,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2243,plain,
spl0_197,
inference(avatar_split_clause,[],[f847,f2241]) ).
fof(f2241,plain,
( spl0_197
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f847,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2239,plain,
spl0_196,
inference(avatar_split_clause,[],[f846,f2237]) ).
fof(f2237,plain,
( spl0_196
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f846,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2235,plain,
spl0_195,
inference(avatar_split_clause,[],[f845,f2233]) ).
fof(f2233,plain,
( spl0_195
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f845,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2231,plain,
spl0_194,
inference(avatar_split_clause,[],[f844,f2229]) ).
fof(f2229,plain,
( spl0_194
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f844,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2227,plain,
spl0_193,
inference(avatar_split_clause,[],[f843,f2225]) ).
fof(f2225,plain,
( spl0_193
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f843,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2223,plain,
spl0_192,
inference(avatar_split_clause,[],[f842,f2221]) ).
fof(f2221,plain,
( spl0_192
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f842,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2219,plain,
spl0_191,
inference(avatar_split_clause,[],[f840,f2217]) ).
fof(f2217,plain,
( spl0_191
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f840,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2215,plain,
spl0_190,
inference(avatar_split_clause,[],[f839,f2213]) ).
fof(f2213,plain,
( spl0_190
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f839,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2211,plain,
spl0_189,
inference(avatar_split_clause,[],[f838,f2209]) ).
fof(f2209,plain,
( spl0_189
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f838,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2207,plain,
spl0_188,
inference(avatar_split_clause,[],[f837,f2205]) ).
fof(f2205,plain,
( spl0_188
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f837,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2203,plain,
spl0_187,
inference(avatar_split_clause,[],[f836,f2201]) ).
fof(f2201,plain,
( spl0_187
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f836,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2199,plain,
spl0_186,
inference(avatar_split_clause,[],[f835,f2197]) ).
fof(f2197,plain,
( spl0_186
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f835,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2195,plain,
spl0_185,
inference(avatar_split_clause,[],[f834,f2193]) ).
fof(f2193,plain,
( spl0_185
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f834,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2191,plain,
spl0_184,
inference(avatar_split_clause,[],[f833,f2189]) ).
fof(f2189,plain,
( spl0_184
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f833,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2187,plain,
spl0_183,
inference(avatar_split_clause,[],[f832,f2185]) ).
fof(f2185,plain,
( spl0_183
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f832,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2183,plain,
spl0_182,
inference(avatar_split_clause,[],[f831,f2181]) ).
fof(f2181,plain,
( spl0_182
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f831,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2179,plain,
spl0_181,
inference(avatar_split_clause,[],[f829,f2177]) ).
fof(f2177,plain,
( spl0_181
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f829,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2175,plain,
spl0_180,
inference(avatar_split_clause,[],[f828,f2173]) ).
fof(f2173,plain,
( spl0_180
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f828,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2171,plain,
spl0_179,
inference(avatar_split_clause,[],[f827,f2169]) ).
fof(f2169,plain,
( spl0_179
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f827,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2167,plain,
spl0_178,
inference(avatar_split_clause,[],[f826,f2165]) ).
fof(f2165,plain,
( spl0_178
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f826,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2163,plain,
spl0_177,
inference(avatar_split_clause,[],[f825,f2161]) ).
fof(f2161,plain,
( spl0_177
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f825,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2159,plain,
spl0_176,
inference(avatar_split_clause,[],[f824,f2157]) ).
fof(f2157,plain,
( spl0_176
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f824,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2155,plain,
spl0_175,
inference(avatar_split_clause,[],[f823,f2153]) ).
fof(f2153,plain,
( spl0_175
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f823,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2151,plain,
spl0_174,
inference(avatar_split_clause,[],[f822,f2149]) ).
fof(f2149,plain,
( spl0_174
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f822,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2147,plain,
spl0_173,
inference(avatar_split_clause,[],[f821,f2145]) ).
fof(f2145,plain,
( spl0_173
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f821,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2143,plain,
spl0_172,
inference(avatar_split_clause,[],[f820,f2141]) ).
fof(f2141,plain,
( spl0_172
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f820,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2139,plain,
spl0_171,
inference(avatar_split_clause,[],[f727,f2137]) ).
fof(f2137,plain,
( spl0_171
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f727,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2135,plain,
spl0_170,
inference(avatar_split_clause,[],[f726,f2133]) ).
fof(f2133,plain,
( spl0_170
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f726,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2131,plain,
spl0_169,
inference(avatar_split_clause,[],[f725,f2129]) ).
fof(f2129,plain,
( spl0_169
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f725,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2127,plain,
spl0_168,
inference(avatar_split_clause,[],[f723,f2125]) ).
fof(f2125,plain,
( spl0_168
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f723,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2123,plain,
spl0_167,
inference(avatar_split_clause,[],[f722,f2121]) ).
fof(f2121,plain,
( spl0_167
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f722,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2119,plain,
spl0_166,
inference(avatar_split_clause,[],[f719,f2117]) ).
fof(f2117,plain,
( spl0_166
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f719,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2115,plain,
spl0_165,
inference(avatar_split_clause,[],[f718,f2113]) ).
fof(f2113,plain,
( spl0_165
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f718,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2111,plain,
spl0_164,
inference(avatar_split_clause,[],[f716,f2109]) ).
fof(f2109,plain,
( spl0_164
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f716,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2107,plain,
spl0_163,
inference(avatar_split_clause,[],[f715,f2105]) ).
fof(f2105,plain,
( spl0_163
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f715,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2103,plain,
spl0_162,
inference(avatar_split_clause,[],[f714,f2101]) ).
fof(f2101,plain,
( spl0_162
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f714,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2099,plain,
spl0_161,
inference(avatar_split_clause,[],[f713,f2097]) ).
fof(f2097,plain,
( spl0_161
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f713,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2095,plain,
spl0_160,
inference(avatar_split_clause,[],[f712,f2093]) ).
fof(f2093,plain,
( spl0_160
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f712,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2091,plain,
spl0_159,
inference(avatar_split_clause,[],[f711,f2089]) ).
fof(f2089,plain,
( spl0_159
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f711,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2087,plain,
spl0_158,
inference(avatar_split_clause,[],[f710,f2085]) ).
fof(f2085,plain,
( spl0_158
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f710,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2083,plain,
spl0_157,
inference(avatar_split_clause,[],[f709,f2081]) ).
fof(f2081,plain,
( spl0_157
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f709,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2079,plain,
spl0_156,
inference(avatar_split_clause,[],[f704,f2077]) ).
fof(f2077,plain,
( spl0_156
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f704,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2075,plain,
spl0_155,
inference(avatar_split_clause,[],[f703,f2073]) ).
fof(f2073,plain,
( spl0_155
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f703,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2071,plain,
spl0_154,
inference(avatar_split_clause,[],[f702,f2069]) ).
fof(f2069,plain,
( spl0_154
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f702,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2067,plain,
spl0_153,
inference(avatar_split_clause,[],[f701,f2065]) ).
fof(f2065,plain,
( spl0_153
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f701,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2063,plain,
spl0_152,
inference(avatar_split_clause,[],[f700,f2061]) ).
fof(f2061,plain,
( spl0_152
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f700,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2059,plain,
spl0_151,
inference(avatar_split_clause,[],[f698,f2057]) ).
fof(f2057,plain,
( spl0_151
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f698,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2055,plain,
spl0_150,
inference(avatar_split_clause,[],[f696,f2053]) ).
fof(f2053,plain,
( spl0_150
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f696,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2051,plain,
spl0_149,
inference(avatar_split_clause,[],[f695,f2049]) ).
fof(f2049,plain,
( spl0_149
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f695,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2047,plain,
spl0_148,
inference(avatar_split_clause,[],[f694,f2045]) ).
fof(f2045,plain,
( spl0_148
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f694,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2043,plain,
spl0_147,
inference(avatar_split_clause,[],[f693,f2041]) ).
fof(f2041,plain,
( spl0_147
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f693,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2039,plain,
spl0_146,
inference(avatar_split_clause,[],[f692,f2037]) ).
fof(f2037,plain,
( spl0_146
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f692,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2035,plain,
spl0_145,
inference(avatar_split_clause,[],[f691,f2033]) ).
fof(f2033,plain,
( spl0_145
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f691,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2031,plain,
spl0_144,
inference(avatar_split_clause,[],[f686,f2029]) ).
fof(f2029,plain,
( spl0_144
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f686,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2027,plain,
spl0_143,
inference(avatar_split_clause,[],[f677,f2025]) ).
fof(f2025,plain,
( spl0_143
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f677,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2023,plain,
spl0_142,
inference(avatar_split_clause,[],[f676,f2021]) ).
fof(f2021,plain,
( spl0_142
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f676,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2019,plain,
spl0_141,
inference(avatar_split_clause,[],[f674,f2017]) ).
fof(f2017,plain,
( spl0_141
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f674,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f2015,plain,
spl0_140,
inference(avatar_split_clause,[],[f483,f2013]) ).
fof(f2013,plain,
( spl0_140
<=> ! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f483,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f2011,plain,
spl0_139,
inference(avatar_split_clause,[],[f454,f2009]) ).
fof(f2009,plain,
( spl0_139
<=> ! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f454,axiom,
! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2007,plain,
spl0_138,
inference(avatar_split_clause,[],[f453,f2005]) ).
fof(f2005,plain,
( spl0_138
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f453,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2003,plain,
spl0_137,
inference(avatar_split_clause,[],[f452,f2001]) ).
fof(f2001,plain,
( spl0_137
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f452,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f1999,plain,
spl0_136,
inference(avatar_split_clause,[],[f451,f1997]) ).
fof(f1997,plain,
( spl0_136
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f451,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f1995,plain,
spl0_135,
inference(avatar_split_clause,[],[f450,f1993]) ).
fof(f1993,plain,
( spl0_135
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f450,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f1991,plain,
spl0_134,
inference(avatar_split_clause,[],[f449,f1989]) ).
fof(f1989,plain,
( spl0_134
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f449,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f1987,plain,
spl0_133,
inference(avatar_split_clause,[],[f441,f1985]) ).
fof(f1985,plain,
( spl0_133
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f441,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f1983,plain,
spl0_132,
inference(avatar_split_clause,[],[f440,f1981]) ).
fof(f1981,plain,
( spl0_132
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f440,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f1979,plain,
spl0_131,
inference(avatar_split_clause,[],[f439,f1977]) ).
fof(f1977,plain,
( spl0_131
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f439,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f1975,plain,
spl0_130,
inference(avatar_split_clause,[],[f433,f1973]) ).
fof(f1973,plain,
( spl0_130
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f433,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f1971,plain,
spl0_129,
inference(avatar_split_clause,[],[f432,f1969]) ).
fof(f1969,plain,
( spl0_129
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f432,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f1967,plain,
spl0_128,
inference(avatar_split_clause,[],[f431,f1965]) ).
fof(f1965,plain,
( spl0_128
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f431,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f1963,plain,
spl0_127,
inference(avatar_split_clause,[],[f430,f1961]) ).
fof(f1961,plain,
( spl0_127
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f430,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f1959,plain,
spl0_126,
inference(avatar_split_clause,[],[f426,f1957]) ).
fof(f1957,plain,
( spl0_126
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f426,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f1955,plain,
spl0_125,
inference(avatar_split_clause,[],[f425,f1953]) ).
fof(f1953,plain,
( spl0_125
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f425,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f1951,plain,
spl0_124,
inference(avatar_split_clause,[],[f424,f1949]) ).
fof(f1949,plain,
( spl0_124
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f424,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f1947,plain,
spl0_123,
inference(avatar_split_clause,[],[f416,f1945]) ).
fof(f1945,plain,
( spl0_123
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f416,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f1943,plain,
spl0_122,
inference(avatar_split_clause,[],[f415,f1941]) ).
fof(f1941,plain,
( spl0_122
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f415,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f1939,plain,
spl0_121,
inference(avatar_split_clause,[],[f414,f1937]) ).
fof(f1937,plain,
( spl0_121
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f414,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f1935,plain,
spl0_120,
inference(avatar_split_clause,[],[f413,f1933]) ).
fof(f1933,plain,
( spl0_120
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f413,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f1931,plain,
spl0_119,
inference(avatar_split_clause,[],[f410,f1929]) ).
fof(f1929,plain,
( spl0_119
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f410,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f1927,plain,
spl0_118,
inference(avatar_split_clause,[],[f404,f1925]) ).
fof(f1925,plain,
( spl0_118
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f404,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f1923,plain,
spl0_117,
inference(avatar_split_clause,[],[f403,f1921]) ).
fof(f1921,plain,
( spl0_117
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f403,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f1919,plain,
spl0_116,
inference(avatar_split_clause,[],[f402,f1917]) ).
fof(f1917,plain,
( spl0_116
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f402,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f1915,plain,
spl0_115,
inference(avatar_split_clause,[],[f401,f1913]) ).
fof(f1913,plain,
( spl0_115
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f401,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f1911,plain,
spl0_114,
inference(avatar_split_clause,[],[f400,f1909]) ).
fof(f1909,plain,
( spl0_114
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f400,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f1907,plain,
spl0_113,
inference(avatar_split_clause,[],[f399,f1905]) ).
fof(f1905,plain,
( spl0_113
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f399,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f1903,plain,
spl0_112,
inference(avatar_split_clause,[],[f398,f1901]) ).
fof(f1901,plain,
( spl0_112
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f398,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f1899,plain,
spl0_111,
inference(avatar_split_clause,[],[f397,f1897]) ).
fof(f1897,plain,
( spl0_111
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f397,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f1895,plain,
spl0_110,
inference(avatar_split_clause,[],[f393,f1893]) ).
fof(f1893,plain,
( spl0_110
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f393,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1891,plain,
spl0_109,
inference(avatar_split_clause,[],[f392,f1889]) ).
fof(f1889,plain,
( spl0_109
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f392,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1887,plain,
spl0_108,
inference(avatar_split_clause,[],[f391,f1885]) ).
fof(f1885,plain,
( spl0_108
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f391,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1883,plain,
spl0_107,
inference(avatar_split_clause,[],[f390,f1881]) ).
fof(f1881,plain,
( spl0_107
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f390,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1879,plain,
spl0_106,
inference(avatar_split_clause,[],[f389,f1877]) ).
fof(f1877,plain,
( spl0_106
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f389,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1875,plain,
spl0_105,
inference(avatar_split_clause,[],[f385,f1873]) ).
fof(f1873,plain,
( spl0_105
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f385,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1871,plain,
spl0_104,
inference(avatar_split_clause,[],[f384,f1869]) ).
fof(f1869,plain,
( spl0_104
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f384,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1867,plain,
spl0_103,
inference(avatar_split_clause,[],[f383,f1865]) ).
fof(f1865,plain,
( spl0_103
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f383,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1863,plain,
spl0_102,
inference(avatar_split_clause,[],[f382,f1861]) ).
fof(f1861,plain,
( spl0_102
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f382,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1859,plain,
spl0_101,
inference(avatar_split_clause,[],[f375,f1857]) ).
fof(f1857,plain,
( spl0_101
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f375,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1855,plain,
spl0_100,
inference(avatar_split_clause,[],[f374,f1853]) ).
fof(f1853,plain,
( spl0_100
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f374,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1851,plain,
spl0_99,
inference(avatar_split_clause,[],[f373,f1849]) ).
fof(f1849,plain,
( spl0_99
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f373,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1847,plain,
spl0_98,
inference(avatar_split_clause,[],[f372,f1845]) ).
fof(f1845,plain,
( spl0_98
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f372,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1843,plain,
spl0_97,
inference(avatar_split_clause,[],[f371,f1841]) ).
fof(f1841,plain,
( spl0_97
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f371,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1839,plain,
spl0_96,
inference(avatar_split_clause,[],[f370,f1837]) ).
fof(f1837,plain,
( spl0_96
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f370,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1835,plain,
spl0_95,
inference(avatar_split_clause,[],[f366,f1833]) ).
fof(f1833,plain,
( spl0_95
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f366,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1831,plain,
spl0_94,
inference(avatar_split_clause,[],[f365,f1829]) ).
fof(f1829,plain,
( spl0_94
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f365,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1827,plain,
spl0_93,
inference(avatar_split_clause,[],[f364,f1825]) ).
fof(f1825,plain,
( spl0_93
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f364,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1823,plain,
spl0_92,
inference(avatar_split_clause,[],[f363,f1821]) ).
fof(f1821,plain,
( spl0_92
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f363,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1819,plain,
spl0_91,
inference(avatar_split_clause,[],[f356,f1817]) ).
fof(f1817,plain,
( spl0_91
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f356,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1815,plain,
spl0_90,
inference(avatar_split_clause,[],[f354,f1813]) ).
fof(f1813,plain,
( spl0_90
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f354,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1811,plain,
spl0_89,
inference(avatar_split_clause,[],[f353,f1809]) ).
fof(f1809,plain,
( spl0_89
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f353,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1807,plain,
spl0_88,
inference(avatar_split_clause,[],[f352,f1805]) ).
fof(f1805,plain,
( spl0_88
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f352,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1803,plain,
spl0_87,
inference(avatar_split_clause,[],[f347,f1801]) ).
fof(f1801,plain,
( spl0_87
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f347,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1799,plain,
spl0_86,
inference(avatar_split_clause,[],[f346,f1797]) ).
fof(f1797,plain,
( spl0_86
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f346,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1795,plain,
spl0_85,
inference(avatar_split_clause,[],[f345,f1793]) ).
fof(f1793,plain,
( spl0_85
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f345,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1791,plain,
spl0_84,
inference(avatar_split_clause,[],[f344,f1789]) ).
fof(f1789,plain,
( spl0_84
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f344,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1787,plain,
spl0_83,
inference(avatar_split_clause,[],[f343,f1785]) ).
fof(f1785,plain,
( spl0_83
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f343,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1783,plain,
spl0_82,
inference(avatar_split_clause,[],[f338,f1781]) ).
fof(f1781,plain,
( spl0_82
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f338,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1779,plain,
spl0_81,
inference(avatar_split_clause,[],[f337,f1777]) ).
fof(f1777,plain,
( spl0_81
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f337,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1775,plain,
spl0_80,
inference(avatar_split_clause,[],[f336,f1773]) ).
fof(f1773,plain,
( spl0_80
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f336,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1771,plain,
spl0_79,
inference(avatar_split_clause,[],[f335,f1769]) ).
fof(f1769,plain,
( spl0_79
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f335,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1767,plain,
spl0_78,
inference(avatar_split_clause,[],[f334,f1765]) ).
fof(f1765,plain,
( spl0_78
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f334,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1763,plain,
spl0_77,
inference(avatar_split_clause,[],[f333,f1761]) ).
fof(f1761,plain,
( spl0_77
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f333,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1759,plain,
spl0_76,
inference(avatar_split_clause,[],[f332,f1757]) ).
fof(f1757,plain,
( spl0_76
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f332,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1755,plain,
spl0_75,
inference(avatar_split_clause,[],[f328,f1753]) ).
fof(f1753,plain,
( spl0_75
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f328,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1751,plain,
spl0_74,
inference(avatar_split_clause,[],[f327,f1749]) ).
fof(f1749,plain,
( spl0_74
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f327,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1747,plain,
spl0_73,
inference(avatar_split_clause,[],[f326,f1745]) ).
fof(f1745,plain,
( spl0_73
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f326,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1743,plain,
spl0_72,
inference(avatar_split_clause,[],[f319,f1741]) ).
fof(f1741,plain,
( spl0_72
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f319,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1739,plain,
spl0_71,
inference(avatar_split_clause,[],[f260,f1737]) ).
fof(f1737,plain,
( spl0_71
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f260,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1735,plain,
spl0_70,
inference(avatar_split_clause,[],[f259,f1733]) ).
fof(f1733,plain,
( spl0_70
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f259,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1731,plain,
spl0_69,
inference(avatar_split_clause,[],[f258,f1729]) ).
fof(f1729,plain,
( spl0_69
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f258,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1727,plain,
spl0_68,
inference(avatar_split_clause,[],[f257,f1725]) ).
fof(f1725,plain,
( spl0_68
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f257,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1723,plain,
spl0_67,
inference(avatar_split_clause,[],[f256,f1721]) ).
fof(f1721,plain,
( spl0_67
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f256,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1719,plain,
spl0_66,
inference(avatar_split_clause,[],[f255,f1717]) ).
fof(f1717,plain,
( spl0_66
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f255,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1715,plain,
spl0_65,
inference(avatar_split_clause,[],[f254,f1713]) ).
fof(f1713,plain,
( spl0_65
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f254,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1711,plain,
spl0_64,
inference(avatar_split_clause,[],[f253,f1709]) ).
fof(f1709,plain,
( spl0_64
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f253,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1707,plain,
spl0_63,
inference(avatar_split_clause,[],[f98,f1705]) ).
fof(f98,axiom,
! [X0,X1] : c_in(X0,c_UNIV,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1703,plain,
spl0_62,
inference(avatar_split_clause,[],[f66,f1701]) ).
fof(f1701,plain,
( spl0_62
<=> ! [X21] : ~ c_less(X21,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f66,axiom,
! [X21] : ~ c_less(X21,X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1699,plain,
spl0_61,
inference(avatar_split_clause,[],[f64,f1697]) ).
fof(f1697,plain,
( spl0_61
<=> ! [X21] : c_lessequals(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f64,axiom,
! [X21] : c_lessequals(c_0,X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1695,plain,
spl0_60,
inference(avatar_split_clause,[],[f40,f1693]) ).
fof(f40,axiom,
! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1691,plain,
spl0_59,
inference(avatar_split_clause,[],[f39,f1689]) ).
fof(f39,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1687,plain,
spl0_58,
inference(avatar_split_clause,[],[f23,f1685]) ).
fof(f1685,plain,
( spl0_58
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f23,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1683,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f1400,f1680]) ).
fof(f1400,axiom,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1678,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f1371,f1675]) ).
fof(f1675,plain,
( spl0_56
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1371,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).
fof(f1673,plain,
~ spl0_55,
inference(avatar_split_clause,[],[f1325,f1670]) ).
fof(f1670,plain,
( spl0_55
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1325,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1668,plain,
~ spl0_54,
inference(avatar_split_clause,[],[f1281,f1665]) ).
fof(f1665,plain,
( spl0_54
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1281,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1663,plain,
~ spl0_53,
inference(avatar_split_clause,[],[f1188,f1660]) ).
fof(f1660,plain,
( spl0_53
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1188,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1658,plain,
spl0_52,
inference(avatar_split_clause,[],[f249,f1656]) ).
fof(f1656,plain,
( spl0_52
<=> ! [X37] : class_Orderings_Oorder(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f249,axiom,
! [X37] : class_Orderings_Oorder(tc_set(X37)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1654,plain,
spl0_51,
inference(avatar_split_clause,[],[f248,f1652]) ).
fof(f1652,plain,
( spl0_51
<=> ! [X37] : class_Orderings_Oord(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f248,axiom,
! [X37] : class_Orderings_Oord(tc_set(X37)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1650,plain,
spl0_50,
inference(avatar_split_clause,[],[f126,f1647]) ).
fof(f1647,plain,
( spl0_50
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1645,plain,
spl0_49,
inference(avatar_split_clause,[],[f124,f1642]) ).
fof(f1642,plain,
( spl0_49
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1640,plain,
spl0_48,
inference(avatar_split_clause,[],[f123,f1638]) ).
fof(f1638,plain,
( spl0_48
<=> ! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f123,axiom,
! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1636,plain,
spl0_47,
inference(avatar_split_clause,[],[f244,f1633]) ).
fof(f1633,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1631,plain,
spl0_46,
inference(avatar_split_clause,[],[f243,f1628]) ).
fof(f1628,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1626,plain,
spl0_45,
inference(avatar_split_clause,[],[f242,f1623]) ).
fof(f1623,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1621,plain,
spl0_44,
inference(avatar_split_clause,[],[f241,f1618]) ).
fof(f1618,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1616,plain,
spl0_43,
inference(avatar_split_clause,[],[f236,f1613]) ).
fof(f1613,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1611,plain,
spl0_42,
inference(avatar_split_clause,[],[f235,f1608]) ).
fof(f1608,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1606,plain,
spl0_41,
inference(avatar_split_clause,[],[f234,f1603]) ).
fof(f1603,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1601,plain,
spl0_40,
inference(avatar_split_clause,[],[f233,f1598]) ).
fof(f1598,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1596,plain,
spl0_39,
inference(avatar_split_clause,[],[f232,f1593]) ).
fof(f1593,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1591,plain,
spl0_38,
inference(avatar_split_clause,[],[f231,f1588]) ).
fof(f1588,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1586,plain,
spl0_37,
inference(avatar_split_clause,[],[f230,f1583]) ).
fof(f1583,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1581,plain,
spl0_36,
inference(avatar_split_clause,[],[f229,f1578]) ).
fof(f1578,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1576,plain,
spl0_35,
inference(avatar_split_clause,[],[f228,f1573]) ).
fof(f1573,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1571,plain,
spl0_34,
inference(avatar_split_clause,[],[f227,f1568]) ).
fof(f1568,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1566,plain,
spl0_33,
inference(avatar_split_clause,[],[f226,f1563]) ).
fof(f1563,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1561,plain,
spl0_32,
inference(avatar_split_clause,[],[f225,f1558]) ).
fof(f1558,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1556,plain,
spl0_31,
inference(avatar_split_clause,[],[f221,f1553]) ).
fof(f1553,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1551,plain,
spl0_30,
inference(avatar_split_clause,[],[f210,f1548]) ).
fof(f1548,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1546,plain,
spl0_29,
inference(avatar_split_clause,[],[f195,f1543]) ).
fof(f1543,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1541,plain,
spl0_28,
inference(avatar_split_clause,[],[f194,f1538]) ).
fof(f1538,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1536,plain,
spl0_27,
inference(avatar_split_clause,[],[f183,f1533]) ).
fof(f1533,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1531,plain,
spl0_26,
inference(avatar_split_clause,[],[f181,f1528]) ).
fof(f1528,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1526,plain,
spl0_25,
inference(avatar_split_clause,[],[f180,f1523]) ).
fof(f1523,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1521,plain,
spl0_24,
inference(avatar_split_clause,[],[f178,f1518]) ).
fof(f1518,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1516,plain,
spl0_23,
inference(avatar_split_clause,[],[f177,f1513]) ).
fof(f1513,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1511,plain,
spl0_22,
inference(avatar_split_clause,[],[f176,f1508]) ).
fof(f1508,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1506,plain,
spl0_21,
inference(avatar_split_clause,[],[f175,f1503]) ).
fof(f1503,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1501,plain,
spl0_20,
inference(avatar_split_clause,[],[f174,f1498]) ).
fof(f1498,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1496,plain,
spl0_19,
inference(avatar_split_clause,[],[f173,f1493]) ).
fof(f1493,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1491,plain,
spl0_18,
inference(avatar_split_clause,[],[f172,f1488]) ).
fof(f1488,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1486,plain,
spl0_17,
inference(avatar_split_clause,[],[f171,f1483]) ).
fof(f1483,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1481,plain,
spl0_16,
inference(avatar_split_clause,[],[f170,f1478]) ).
fof(f1478,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1476,plain,
spl0_15,
inference(avatar_split_clause,[],[f169,f1473]) ).
fof(f1473,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1471,plain,
spl0_14,
inference(avatar_split_clause,[],[f168,f1468]) ).
fof(f1468,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1466,plain,
spl0_13,
inference(avatar_split_clause,[],[f167,f1463]) ).
fof(f1463,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1461,plain,
spl0_12,
inference(avatar_split_clause,[],[f166,f1458]) ).
fof(f1458,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1456,plain,
spl0_11,
inference(avatar_split_clause,[],[f165,f1453]) ).
fof(f1453,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1451,plain,
spl0_10,
inference(avatar_split_clause,[],[f164,f1448]) ).
fof(f1448,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1446,plain,
spl0_9,
inference(avatar_split_clause,[],[f162,f1443]) ).
fof(f1443,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1441,plain,
spl0_8,
inference(avatar_split_clause,[],[f161,f1438]) ).
fof(f1438,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1436,plain,
spl0_7,
inference(avatar_split_clause,[],[f160,f1433]) ).
fof(f1433,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1431,plain,
spl0_6,
inference(avatar_split_clause,[],[f159,f1428]) ).
fof(f1428,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1426,plain,
spl0_5,
inference(avatar_split_clause,[],[f158,f1423]) ).
fof(f1423,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1421,plain,
spl0_4,
inference(avatar_split_clause,[],[f157,f1418]) ).
fof(f1418,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1416,plain,
spl0_3,
inference(avatar_split_clause,[],[f156,f1413]) ).
fof(f1413,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1411,plain,
spl0_2,
inference(avatar_split_clause,[],[f155,f1408]) ).
fof(f1408,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1406,plain,
spl0_1,
inference(avatar_split_clause,[],[f154,f1403]) ).
fof(f1403,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV240-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 21:15:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (31804)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (31807)WARNING: value z3 for option sas not known
% 0.18/0.40 % (31809)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.40 % (31806)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.40 % (31810)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)
% 0.18/0.40 % (31812)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)
% 0.18/0.40 % (31811)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)
% 0.18/0.41 % (31807)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)
% 0.18/0.41 % (31805)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.45 TRYING [1]
% 0.18/0.46 TRYING [2]
% 1.35/0.58 % (31810)First to succeed.
% 1.35/0.59 TRYING [3]
% 1.35/0.60 TRYING [1]
% 1.35/0.61 % (31810)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31804"
% 1.35/0.61 TRYING [2]
% 1.35/0.61 % (31810)Refutation found. Thanks to Tanya!
% 1.35/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.35/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.63 % (31810)------------------------------
% 1.35/0.63 % (31810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.63 % (31810)Termination reason: Refutation
% 1.35/0.63
% 1.35/0.63 % (31810)Memory used [KB]: 4724
% 1.35/0.63 % (31810)Time elapsed: 0.205 s
% 1.35/0.63 % (31810)Instructions burned: 410 (million)
% 1.35/0.63 % (31804)Success in time 0.272 s
%------------------------------------------------------------------------------