TSTP Solution File: COL115-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL115-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:45:57 EDT 2024
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1084
% Syntax : Number of formulae : 1696 ( 661 unt; 0 def)
% Number of atoms : 3291 ( 313 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2678 (1083 ~;1041 |; 0 &)
% ( 554 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 592 ( 590 usr; 555 prp; 0-3 aty)
% Number of functors : 106 ( 106 usr; 26 con; 0-5 aty)
% Number of variables : 2025 (2025 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4552,plain,
$false,
inference(avatar_sat_refutation,[],[f1410,f1415,f1420,f1425,f1430,f1435,f1440,f1445,f1450,f1455,f1460,f1465,f1470,f1475,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1585,f1590,f1595,f1600,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1655,f1660,f1664,f1669,f1674,f1678,f1682,f1686,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,f2571,f2575,f2579,f2890,f2894,f2898,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2972,f2976,f2980,f2984,f2988,f2992,f2996,f3000,f3004,f3008,f3012,f3016,f3020,f3024,f3028,f3032,f3036,f3040,f3044,f3048,f3068,f3072,f3076,f3080,f3084,f3088,f3092,f3096,f3100,f3104,f3108,f3112,f3116,f3120,f3124,f3128,f3132,f3136,f3140,f3144,f3148,f3152,f3163,f3167,f3173,f3177,f3181,f3185,f3189,f3193,f3197,f3201,f3205,f3209,f3215,f3219,f3223,f3227,f3231,f3235,f3239,f3243,f3247,f3270,f3274,f3278,f3282,f3286,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3358,f3362,f3366,f3370,f3374,f3378,f3386,f3424,f3429,f3433,f3437,f3441,f3445,f3449,f3453,f3457,f3461,f3465,f3474,f3480,f3484,f3488,f3492,f3496,f3500,f3504,f3508,f3512,f3516,f3520,f3524,f3528,f3532,f3536,f3540,f3544,f3548,f3552,f3556,f3560,f3564,f3568,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3606,f3610,f3614,f3618,f3622,f3636,f3703,f3707,f3711,f3715,f3719,f3723,f3727,f3731,f3735,f3739,f3743,f3747,f3751,f3756,f3760,f3764,f3768,f3772,f3780,f3804,f3808,f3812,f3816,f3820,f3824,f3828,f3832,f3836,f3840,f3844,f3848,f3852,f3856,f3860,f3864,f3868,f3872,f3894,f3928,f3932,f3936,f3940,f3944,f3948,f3952,f3956,f3960,f3964,f3968,f3972,f3976,f3980,f3984,f3988,f3992,f3996,f4000,f4004,f4100,f4104,f4108,f4112,f4116,f4120,f4124,f4128,f4132,f4136,f4163,f4167,f4182,f4186,f4190,f4194,f4198,f4202,f4206,f4210,f4214,f4218,f4225,f4229,f4233,f4253,f4313,f4317,f4321,f4325,f4340,f4344,f4348,f4352,f4356,f4360,f4364,f4371,f4375,f4400,f4404,f4408,f4412,f4416,f4420,f4424,f4428,f4432,f4436,f4440,f4444,f4531,f4535,f4539,f4543,f4547,f4551]) ).
fof(f4551,plain,
( spl0_392
| ~ spl0_551 ),
inference(avatar_contradiction_clause,[],[f4548]) ).
fof(f4548,plain,
( $false
| spl0_392
| ~ spl0_551 ),
inference(resolution,[],[f4534,f3385]) ).
fof(f3385,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_392 ),
inference(avatar_component_clause,[],[f3383]) ).
fof(f3383,plain,
( spl0_392
<=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f4534,plain,
( ! [X3,X4,X5] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X4),X5),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X5)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_551 ),
inference(avatar_component_clause,[],[f4533]) ).
fof(f4533,plain,
( spl0_551
<=> ! [X4,X5,X3] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X4),X5),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X5)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f4547,plain,
spl0_554,
inference(avatar_split_clause,[],[f365,f4545]) ).
fof(f4545,plain,
( spl0_554
<=> ! [X14,X12,X16,X2] :
( ~ c_in(c_Pair(X14,X16,X12,X12),X2,tc_prod(X12,X12))
| c_in(c_Pair(X14,X16,X12,X12),c_Transitive__Closure_Otrancl(X2,X12),tc_prod(X12,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f365,axiom,
! [X2,X16,X14,X12] :
( ~ c_in(c_Pair(X14,X16,X12,X12),X2,tc_prod(X12,X12))
| c_in(c_Pair(X14,X16,X12,X12),c_Transitive__Closure_Otrancl(X2,X12),tc_prod(X12,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f4543,plain,
spl0_553,
inference(avatar_split_clause,[],[f318,f4541]) ).
fof(f4541,plain,
( spl0_553
<=> ! [X2,X16,X23,X14,X12,X15] :
( ~ c_in(X14,X23,X12)
| c_in(X16,c_Relation_OImage(X2,X23,X12,X15),X15)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f318,axiom,
! [X2,X16,X14,X15,X12,X23] :
( ~ c_in(X14,X23,X12)
| c_in(X16,c_Relation_OImage(X2,X23,X12,X15),X15)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4539,plain,
spl0_552,
inference(avatar_split_clause,[],[f46,f4537]) ).
fof(f4537,plain,
( spl0_552
<=> ! [X4,X5,X3] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X4),X5),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X5)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f46,axiom,
! [X3,X4,X5] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X4),X5),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X5)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OS_0) ).
fof(f4535,plain,
spl0_551,
inference(avatar_split_clause,[],[f20,f4533]) ).
fof(f20,axiom,
! [X3,X4,X5] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X4),X5),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X3,X5),c_Comb_Ocomb_Oop_A_D_D(X4,X5)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__3_0) ).
fof(f4531,plain,
( spl0_550
| ~ spl0_388
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f4289,f4223,f3364,f4529]) ).
fof(f4529,plain,
( spl0_550
<=> ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f3364,plain,
( spl0_388
<=> ! [X12,X14] : c_in(c_Pair(X14,X14,X12,X12),c_Relation_OId,tc_prod(X12,X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f4223,plain,
( spl0_521
<=> ! [X15,X14,X12,X16,X2] :
( c_in(X16,c_Relation_ORange(X2,X12,X15),X15)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f4289,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_388
| ~ spl0_521 ),
inference(resolution,[],[f4224,f3365]) ).
fof(f3365,plain,
( ! [X14,X12] : c_in(c_Pair(X14,X14,X12,X12),c_Relation_OId,tc_prod(X12,X12))
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f3364]) ).
fof(f4224,plain,
( ! [X2,X16,X14,X15,X12] :
( ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15))
| c_in(X16,c_Relation_ORange(X2,X12,X15),X15) )
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f4223]) ).
fof(f4444,plain,
( spl0_549
| ~ spl0_364
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f4287,f4223,f3268,f4442]) ).
fof(f4442,plain,
( spl0_549
<=> ! [X0] : c_in(X0,c_Relation_ORange(c_Comb_Oparcontract,tc_Comb_Ocomb,tc_Comb_Ocomb),tc_Comb_Ocomb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f3268,plain,
( spl0_364
<=> ! [X3] : c_in(c_Pair(X3,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f4287,plain,
( ! [X0] : c_in(X0,c_Relation_ORange(c_Comb_Oparcontract,tc_Comb_Ocomb,tc_Comb_Ocomb),tc_Comb_Ocomb)
| ~ spl0_364
| ~ spl0_521 ),
inference(resolution,[],[f4224,f3269]) ).
fof(f3269,plain,
( ! [X3] : c_in(c_Pair(X3,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f4440,plain,
spl0_548,
inference(avatar_split_clause,[],[f323,f4438]) ).
fof(f4438,plain,
( spl0_548
<=> ! [X40,X12,X23] :
( ~ c_in(X40,c_Relation_Odiag(X23,X12),tc_prod(X12,X12))
| c_Pair(c_Main_OdiagE__1(X23,X40,X12),c_Main_OdiagE__1(X23,X40,X12),X12,X12) = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f323,axiom,
! [X40,X12,X23] :
( ~ c_in(X40,c_Relation_Odiag(X23,X12),tc_prod(X12,X12))
| c_Pair(c_Main_OdiagE__1(X23,X40,X12),c_Main_OdiagE__1(X23,X40,X12),X12,X12) = X40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4436,plain,
spl0_547,
inference(avatar_split_clause,[],[f319,f4434]) ).
fof(f4434,plain,
( spl0_547
<=> ! [X15,X12,X16,X2] :
( ~ c_in(X16,c_Relation_ORange(X2,X15,X12),X12)
| c_in(c_Pair(c_Main_ORangeE__1(X16,X2,X12,X15),X16,X15,X12),X2,tc_prod(X15,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f319,axiom,
! [X2,X16,X15,X12] :
( ~ c_in(X16,c_Relation_ORange(X2,X15,X12),X12)
| c_in(c_Pair(c_Main_ORangeE__1(X16,X2,X12,X15),X16,X15,X12),X2,tc_prod(X15,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4432,plain,
spl0_546,
inference(avatar_split_clause,[],[f313,f4430]) ).
fof(f4430,plain,
( spl0_546
<=> ! [X15,X14,X12,X2] :
( ~ c_in(X14,c_Relation_ODomain(X2,X12,X15),X12)
| c_in(c_Pair(X14,c_Main_ODomainE__1(X14,X2,X12,X15),X12,X15),X2,tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f313,axiom,
! [X2,X14,X15,X12] :
( ~ c_in(X14,c_Relation_ODomain(X2,X12,X15),X12)
| c_in(c_Pair(X14,c_Main_ODomainE__1(X14,X2,X12,X15),X12,X15),X2,tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4428,plain,
spl0_545,
inference(avatar_split_clause,[],[f304,f4426]) ).
fof(f4426,plain,
( spl0_545
<=> ! [X48,X23,X14,X12] :
( ~ c_in(X14,X23,X12)
| ~ c_in(X48,c_List_Olists(X23,X12),tc_List_Olist(X12))
| c_in(c_List_Olist_OCons(X14,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f304,axiom,
! [X48,X14,X12,X23] :
( ~ c_in(X14,X23,X12)
| ~ c_in(X48,c_List_Olists(X23,X12),tc_List_Olist(X12))
| c_in(c_List_Olist_OCons(X14,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4424,plain,
spl0_544,
inference(avatar_split_clause,[],[f266,f4422]) ).
fof(f4422,plain,
( spl0_544
<=> ! [X18,X23,X12,X15,X24] :
( ~ c_in(X18,X24,tc_set(tc_Datatype__Universe_Onode(X12,X15)))
| c_in(c_Datatype__Universe_OIn1(X18,X12,X15),c_Datatype__Universe_Ousum(X23,X24,X12,X15),tc_set(tc_Datatype__Universe_Onode(X12,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f266,axiom,
! [X18,X24,X15,X12,X23] :
( ~ c_in(X18,X24,tc_set(tc_Datatype__Universe_Onode(X12,X15)))
| c_in(c_Datatype__Universe_OIn1(X18,X12,X15),c_Datatype__Universe_Ousum(X23,X24,X12,X15),tc_set(tc_Datatype__Universe_Onode(X12,X15))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4420,plain,
spl0_543,
inference(avatar_split_clause,[],[f265,f4418]) ).
fof(f4418,plain,
( spl0_543
<=> ! [X17,X23,X12,X15,X24] :
( ~ c_in(X17,X23,tc_set(tc_Datatype__Universe_Onode(X12,X15)))
| c_in(c_Datatype__Universe_OIn0(X17,X12,X15),c_Datatype__Universe_Ousum(X23,X24,X12,X15),tc_set(tc_Datatype__Universe_Onode(X12,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f265,axiom,
! [X17,X15,X24,X12,X23] :
( ~ c_in(X17,X23,tc_set(tc_Datatype__Universe_Onode(X12,X15)))
| c_in(c_Datatype__Universe_OIn0(X17,X12,X15),c_Datatype__Universe_Ousum(X23,X24,X12,X15),tc_set(tc_Datatype__Universe_Onode(X12,X15))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4416,plain,
spl0_542,
inference(avatar_split_clause,[],[f174,f4414]) ).
fof(f4414,plain,
( spl0_542
<=> ! [X15,X14,X12,X16,X2] :
( ~ c_in(c_Pair(X14,X16,X15,X12),X2,tc_prod(X15,X12))
| c_in(X16,c_Relation_OImage(X2,c_insert(X14,c_emptyset,X15),X15,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f174,axiom,
! [X2,X16,X14,X15,X12] :
( ~ c_in(c_Pair(X14,X16,X15,X12),X2,tc_prod(X15,X12))
| c_in(X16,c_Relation_OImage(X2,c_insert(X14,c_emptyset,X15),X15,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4412,plain,
spl0_541,
inference(avatar_split_clause,[],[f173,f4410]) ).
fof(f4410,plain,
( spl0_541
<=> ! [X15,X14,X12,X16,X2] :
( c_in(c_Pair(X14,X16,X15,X12),X2,tc_prod(X15,X12))
| ~ c_in(X16,c_Relation_OImage(X2,c_insert(X14,c_emptyset,X15),X15,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f173,axiom,
! [X2,X16,X14,X15,X12] :
( c_in(c_Pair(X14,X16,X15,X12),X2,tc_prod(X15,X12))
| ~ c_in(X16,c_Relation_OImage(X2,c_insert(X14,c_emptyset,X15),X15,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4408,plain,
spl0_540,
inference(avatar_split_clause,[],[f78,f4406]) ).
fof(f4406,plain,
( spl0_540
<=> ! [X24,X23,X14,X12] :
( ~ c_in(c_minus(X23,X24,tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_minus(X23,c_insert(X14,X24,X12),tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f78,axiom,
! [X14,X24,X12,X23] :
( ~ c_in(c_minus(X23,X24,tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_minus(X23,c_insert(X14,X24,X12),tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4404,plain,
spl0_539,
inference(avatar_split_clause,[],[f77,f4402]) ).
fof(f4402,plain,
( spl0_539
<=> ! [X24,X23,X14,X12] :
( c_in(c_minus(X23,X24,tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_minus(X23,c_insert(X14,X24,X12),tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f77,axiom,
! [X14,X24,X12,X23] :
( c_in(c_minus(X23,X24,tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_minus(X23,c_insert(X14,X24,X12),tc_set(X12)),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4400,plain,
( spl0_538
| ~ spl0_66
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f4273,f4208,f1721,f4398]) ).
fof(f4398,plain,
( spl0_538
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1721,plain,
( spl0_66
<=> ! [X12,X3] : c_in(X3,c_UNIV,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4208,plain,
( spl0_518
<=> ! [X15,X16,X14,X12,X2] :
( c_in(X14,c_Relation_ODomain(X2,X12,X15),X12)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f4273,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1)
| ~ spl0_66
| ~ spl0_518 ),
inference(resolution,[],[f4209,f1722]) ).
fof(f1722,plain,
( ! [X3,X12] : c_in(X3,c_UNIV,X12)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f4209,plain,
( ! [X2,X16,X14,X15,X12] :
( ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15))
| c_in(X14,c_Relation_ODomain(X2,X12,X15),X12) )
| ~ spl0_518 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f4375,plain,
spl0_537,
inference(avatar_split_clause,[],[f277,f4373]) ).
fof(f4373,plain,
( spl0_537
<=> ! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(tc_set(X12)))
| ~ c_in(c_Main_Ofinite__Union__1(X23,X12),c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_Union(X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f277,axiom,
! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(tc_set(X12)))
| ~ c_in(c_Main_Ofinite__Union__1(X23,X12),c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_Union(X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4371,plain,
spl0_536,
inference(avatar_split_clause,[],[f276,f4369]) ).
fof(f4369,plain,
( spl0_536
<=> ! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(tc_set(X12)))
| c_in(c_Main_Ofinite__Union__1(X23,X12),X23,tc_set(X12))
| c_in(c_Union(X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f276,axiom,
! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(tc_set(X12)))
| c_in(c_Main_Ofinite__Union__1(X23,X12),X23,tc_set(X12))
| c_in(c_Union(X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4364,plain,
( spl0_535
| ~ spl0_388
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f4261,f4208,f3364,f4362]) ).
fof(f4362,plain,
( spl0_535
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f4261,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_388
| ~ spl0_518 ),
inference(resolution,[],[f4209,f3365]) ).
fof(f4360,plain,
spl0_534,
inference(avatar_split_clause,[],[f301,f4358]) ).
fof(f4358,plain,
( spl0_534
<=> ! [X12,X28,X2] :
( c_List_Olist_ONil = X28
| ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olistrel(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f301,axiom,
! [X2,X28,X12] :
( c_List_Olist_ONil = X28
| ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olistrel(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4356,plain,
spl0_533,
inference(avatar_split_clause,[],[f300,f4354]) ).
fof(f4354,plain,
( spl0_533
<=> ! [X12,X28,X2] :
( c_List_Olist_ONil = X28
| ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olistrel(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f300,axiom,
! [X2,X28,X12] :
( c_List_Olist_ONil = X28
| ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olistrel(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4352,plain,
spl0_532,
inference(avatar_split_clause,[],[f129,f4350]) ).
fof(f4350,plain,
( spl0_532
<=> ! [X4,X12,X29,X28] :
( c_List_Orev(X28,X12) != c_List_Olist_OCons(X4,X29,X12)
| c_append(c_List_Orev(X29,X12),c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f129,axiom,
! [X28,X29,X4,X12] :
( c_List_Orev(X28,X12) != c_List_Olist_OCons(X4,X29,X12)
| c_append(c_List_Orev(X29,X12),c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) = X28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4348,plain,
spl0_531,
inference(avatar_split_clause,[],[f31,f4346]) ).
fof(f4346,plain,
( spl0_531
<=> ! [X5,X3] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uR7(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f31,axiom,
! [X3,X5] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uR7(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK1__contractD_0) ).
fof(f4344,plain,
spl0_530,
inference(avatar_split_clause,[],[f12,f4342]) ).
fof(f4342,plain,
( spl0_530
<=> ! [X5,X3] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTD(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f12,axiom,
! [X3,X5] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTD(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OS1__parcontractD__dest_0) ).
fof(f4340,plain,
spl0_529,
inference(avatar_split_clause,[],[f9,f4338]) ).
fof(f4338,plain,
( spl0_529
<=> ! [X5,X3] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f9,axiom,
! [X3,X5] :
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X3,X5)) = X5
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK1__parcontractD__dest_0) ).
fof(f4325,plain,
spl0_528,
inference(avatar_split_clause,[],[f105,f4323]) ).
fof(f4323,plain,
( spl0_528
<=> ! [X28,X4,X12,X29,X3] :
( X3 = X4
| c_append(X28,c_List_Olist_OCons(X3,c_List_Olist_ONil,X12),X12) != c_append(X29,c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f105,axiom,
! [X3,X28,X29,X4,X12] :
( X3 = X4
| c_append(X28,c_List_Olist_OCons(X3,c_List_Olist_ONil,X12),X12) != c_append(X29,c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4321,plain,
( spl0_527
| ~ spl0_364
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f4259,f4208,f3268,f4319]) ).
fof(f4319,plain,
( spl0_527
<=> ! [X0] : c_in(X0,c_Relation_ODomain(c_Comb_Oparcontract,tc_Comb_Ocomb,tc_Comb_Ocomb),tc_Comb_Ocomb) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f4259,plain,
( ! [X0] : c_in(X0,c_Relation_ODomain(c_Comb_Oparcontract,tc_Comb_Ocomb,tc_Comb_Ocomb),tc_Comb_Ocomb)
| ~ spl0_364
| ~ spl0_518 ),
inference(resolution,[],[f4209,f3269]) ).
fof(f4317,plain,
spl0_526,
inference(avatar_split_clause,[],[f104,f4315]) ).
fof(f4315,plain,
( spl0_526
<=> ! [X3,X4,X12,X29,X28] :
( X28 = X29
| c_append(X28,c_List_Olist_OCons(X3,c_List_Olist_ONil,X12),X12) != c_append(X29,c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f104,axiom,
! [X28,X3,X29,X4,X12] :
( X28 = X29
| c_append(X28,c_List_Olist_OCons(X3,c_List_Olist_ONil,X12),X12) != c_append(X29,c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4313,plain,
spl0_525,
inference(avatar_split_clause,[],[f83,f4311]) ).
fof(f4311,plain,
( spl0_525
<=> ! [X25,X12,X26] :
( ~ c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f83,axiom,
! [X26,X12,X25] :
( ~ c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4253,plain,
( spl0_524
| ~ spl0_438
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f4037,f3950,f3616,f4251]) ).
fof(f4251,plain,
( spl0_524
<=> ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f3616,plain,
( spl0_438
<=> ! [X12,X24,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| ~ c_in(c_Main_OsubsetI__1(X23,X24,X12),X24,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f3950,plain,
( spl0_485
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f4037,plain,
( ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1))
| ~ spl0_438
| ~ spl0_485 ),
inference(resolution,[],[f3951,f3617]) ).
fof(f3617,plain,
( ! [X24,X12,X23] :
( ~ c_in(c_Main_OsubsetI__1(X23,X24,X12),X24,X12)
| c_lessequals(X23,X24,tc_set(X12)) )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f3951,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f3950]) ).
fof(f4233,plain,
spl0_523,
inference(avatar_split_clause,[],[f358,f4231]) ).
fof(f4231,plain,
( spl0_523
<=> ! [X24,X23,X12,X16,X15] :
( ~ c_in(X16,X24,X12)
| c_in(c_Sum__Type_OInr(X16,X12,X15),c_Sum__Type_OPlus(X23,X24,X15,X12),tc_sum(X15,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f358,axiom,
! [X16,X24,X15,X12,X23] :
( ~ c_in(X16,X24,X12)
| c_in(c_Sum__Type_OInr(X16,X12,X15),c_Sum__Type_OPlus(X23,X24,X15,X12),tc_sum(X15,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4229,plain,
spl0_522,
inference(avatar_split_clause,[],[f357,f4227]) ).
fof(f4227,plain,
( spl0_522
<=> ! [X24,X23,X14,X12,X15] :
( ~ c_in(X14,X23,X12)
| c_in(c_Sum__Type_OInl(X14,X12,X15),c_Sum__Type_OPlus(X23,X24,X12,X15),tc_sum(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f357,axiom,
! [X14,X15,X24,X12,X23] :
( ~ c_in(X14,X23,X12)
| c_in(c_Sum__Type_OInl(X14,X12,X15),c_Sum__Type_OPlus(X23,X24,X12,X15),tc_sum(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4225,plain,
spl0_521,
inference(avatar_split_clause,[],[f320,f4223]) ).
fof(f320,axiom,
! [X2,X16,X14,X15,X12] :
( c_in(X16,c_Relation_ORange(X2,X12,X15),X15)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4218,plain,
spl0_520,
inference(avatar_split_clause,[],[f316,f4216]) ).
fof(f4216,plain,
( spl0_520
<=> ! [X15,X16,X23,X12,X2] :
( ~ c_in(X16,c_Relation_OImage(X2,X23,X15,X12),X12)
| c_in(c_Main_OImageE__1(X23,X16,X2,X15,X12),X23,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f316,axiom,
! [X2,X16,X15,X12,X23] :
( ~ c_in(X16,c_Relation_OImage(X2,X23,X15,X12),X12)
| c_in(c_Main_OImageE__1(X23,X16,X2,X15,X12),X23,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4214,plain,
spl0_519,
inference(avatar_split_clause,[],[f315,f4212]) ).
fof(f4212,plain,
( spl0_519
<=> ! [X0,X12] :
( ~ c_in(X0,c_Relation_OId,tc_prod(X12,X12))
| c_Pair(c_Main_OIdE__1(X0,X12),c_Main_OIdE__1(X0,X12),X12,X12) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f315,axiom,
! [X0,X12] :
( ~ c_in(X0,c_Relation_OId,tc_prod(X12,X12))
| c_Pair(c_Main_OIdE__1(X0,X12),c_Main_OIdE__1(X0,X12),X12,X12) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4210,plain,
spl0_518,
inference(avatar_split_clause,[],[f314,f4208]) ).
fof(f314,axiom,
! [X2,X16,X14,X15,X12] :
( c_in(X14,c_Relation_ODomain(X2,X12,X15),X12)
| ~ c_in(c_Pair(X14,X16,X12,X15),X2,tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4206,plain,
spl0_517,
inference(avatar_split_clause,[],[f302,f4204]) ).
fof(f4204,plain,
( spl0_517
<=> ! [X48,X12,X23,X3] :
( c_in(X48,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_List_Olist_OCons(X3,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f302,axiom,
! [X3,X48,X12,X23] :
( c_in(X48,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_List_Olist_OCons(X3,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4202,plain,
spl0_516,
inference(avatar_split_clause,[],[f290,f4200]) ).
fof(f4200,plain,
( spl0_516
<=> ! [X47,X23,X12,X28] :
( c_in(X47,X23,X12)
| ~ c_in(X47,c_List_Oset(X28,X12),X12)
| ~ c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f290,axiom,
! [X28,X47,X12,X23] :
( c_in(X47,X23,X12)
| ~ c_in(X47,c_List_Oset(X28,X12),X12)
| ~ c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4198,plain,
spl0_515,
inference(avatar_split_clause,[],[f227,f4196]) ).
fof(f4196,plain,
( spl0_515
<=> ! [X12,X23,X3] :
( ~ c_lessequals(X23,c_insert(X3,c_emptyset,X12),tc_set(X12))
| c_insert(X3,c_emptyset,X12) = c_insert(X3,X23,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f227,axiom,
! [X3,X12,X23] :
( ~ c_lessequals(X23,c_insert(X3,c_emptyset,X12),tc_set(X12))
| c_insert(X3,c_emptyset,X12) = c_insert(X3,X23,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
fof(f4194,plain,
spl0_514,
inference(avatar_split_clause,[],[f226,f4192]) ).
fof(f4192,plain,
( spl0_514
<=> ! [X16,X12,X23,X14] :
( c_lessequals(X23,c_insert(X16,c_emptyset,X12),tc_set(X12))
| c_insert(X14,X23,X12) != c_insert(X16,c_emptyset,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f226,axiom,
! [X16,X14,X12,X23] :
( c_lessequals(X23,c_insert(X16,c_emptyset,X12),tc_set(X12))
| c_insert(X14,X23,X12) != c_insert(X16,c_emptyset,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
fof(f4190,plain,
spl0_513,
inference(avatar_split_clause,[],[f107,f4188]) ).
fof(f4188,plain,
( spl0_513
<=> ! [X29,X12,X23,X28] :
( c_in(X29,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_append(X28,X29,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f107,axiom,
! [X28,X29,X12,X23] :
( c_in(X29,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_append(X28,X29,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4186,plain,
spl0_512,
inference(avatar_split_clause,[],[f106,f4184]) ).
fof(f4184,plain,
( spl0_512
<=> ! [X23,X12,X29,X28] :
( c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_append(X28,X29,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f106,axiom,
! [X28,X29,X12,X23] :
( c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12))
| ~ c_in(c_append(X28,X29,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4182,plain,
spl0_511,
inference(avatar_split_clause,[],[f88,f4180]) ).
fof(f4180,plain,
( spl0_511
<=> ! [X22,X27,X19] :
( ~ c_Divides_Oop_Advd(X19,X27,tc_nat)
| ~ c_Divides_Oop_Advd(X19,X22,tc_nat)
| c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f88,axiom,
! [X19,X27,X22] :
( ~ c_Divides_Oop_Advd(X19,X27,tc_nat)
| ~ c_Divides_Oop_Advd(X19,X22,tc_nat)
| c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4167,plain,
spl0_510,
inference(avatar_split_clause,[],[f85,f4165]) ).
fof(f4165,plain,
( spl0_510
<=> ! [X2,X12,X15] :
( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X12)))
| c_in(c_Relation_Oconverse(X2,X15,X12),c_Finite__Set_OFinites,tc_set(tc_prod(X12,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f85,axiom,
! [X2,X15,X12] :
( ~ c_in(X2,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X12)))
| c_in(c_Relation_Oconverse(X2,X15,X12),c_Finite__Set_OFinites,tc_set(tc_prod(X12,X15))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4163,plain,
spl0_509,
inference(avatar_split_clause,[],[f84,f4161]) ).
fof(f4161,plain,
( spl0_509
<=> ! [X2,X12,X15] :
( c_in(X2,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X12)))
| ~ c_in(c_Relation_Oconverse(X2,X15,X12),c_Finite__Set_OFinites,tc_set(tc_prod(X12,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f84,axiom,
! [X2,X15,X12] :
( c_in(X2,c_Finite__Set_OFinites,tc_set(tc_prod(X15,X12)))
| ~ c_in(c_Relation_Oconverse(X2,X15,X12),c_Finite__Set_OFinites,tc_set(tc_prod(X12,X15))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4136,plain,
( spl0_508
| ~ spl0_293
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f4026,f3946,f2937,f4134]) ).
fof(f4134,plain,
( spl0_508
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f2937,plain,
( spl0_293
<=> ! [X12,X23] : c_lessequals(X23,X23,tc_set(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f3946,plain,
( spl0_484
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| c_lessequals(X4,X3,X12)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X3,X12),c_SetInterval_OgreaterThan(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f4026,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_293
| ~ spl0_484 ),
inference(resolution,[],[f3947,f2938]) ).
fof(f2938,plain,
( ! [X12,X23] : c_lessequals(X23,X23,tc_set(X12))
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2937]) ).
fof(f3947,plain,
( ! [X3,X4,X12] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X3,X12),c_SetInterval_OgreaterThan(X4,X12),tc_set(X12))
| c_lessequals(X4,X3,X12)
| ~ class_Orderings_Olinorder(X12) )
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f3946]) ).
fof(f4132,plain,
spl0_507,
inference(avatar_split_clause,[],[f325,f4130]) ).
fof(f4130,plain,
( spl0_507
<=> ! [X12,X23,X14] :
( ~ c_in(X14,X23,X12)
| c_in(c_Pair(X14,X14,X12,X12),c_Relation_Odiag(X23,X12),tc_prod(X12,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f325,axiom,
! [X14,X12,X23] :
( ~ c_in(X14,X23,X12)
| c_in(c_Pair(X14,X14,X12,X12),c_Relation_Odiag(X23,X12),tc_prod(X12,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4128,plain,
spl0_506,
inference(avatar_split_clause,[],[f291,f4126]) ).
fof(f4126,plain,
( spl0_506
<=> ! [X12,X23,X28] :
( c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12))
| c_in(c_Main_Oin__listsI__1(X23,X28,X12),c_List_Oset(X28,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f291,axiom,
! [X28,X12,X23] :
( c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12))
| c_in(c_Main_Oin__listsI__1(X23,X28,X12),c_List_Oset(X28,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4124,plain,
spl0_505,
inference(avatar_split_clause,[],[f205,f4122]) ).
fof(f4122,plain,
( spl0_505
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f205,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4120,plain,
spl0_504,
inference(avatar_split_clause,[],[f202,f4118]) ).
fof(f4118,plain,
( spl0_504
<=> ! [X24,X12,X23] :
( ~ c_lessequals(X24,X23,tc_set(X12))
| c_lessequals(c_uminus(X23,tc_set(X12)),c_uminus(X24,tc_set(X12)),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f202,axiom,
! [X24,X12,X23] :
( ~ c_lessequals(X24,X23,tc_set(X12))
| c_lessequals(c_uminus(X23,tc_set(X12)),c_uminus(X24,tc_set(X12)),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4116,plain,
spl0_503,
inference(avatar_split_clause,[],[f201,f4114]) ).
fof(f4114,plain,
( spl0_503
<=> ! [X24,X12,X23] :
( c_lessequals(X24,X23,tc_set(X12))
| ~ c_lessequals(c_uminus(X23,tc_set(X12)),c_uminus(X24,tc_set(X12)),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f201,axiom,
! [X24,X12,X23] :
( c_lessequals(X24,X23,tc_set(X12))
| ~ c_lessequals(c_uminus(X23,tc_set(X12)),c_uminus(X24,tc_set(X12)),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4112,plain,
spl0_502,
inference(avatar_split_clause,[],[f130,f4110]) ).
fof(f4110,plain,
( spl0_502
<=> ! [X29,X4,X12] : c_List_Olist_OCons(X4,X29,X12) = c_List_Orev(c_append(c_List_Orev(X29,X12),c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f130,axiom,
! [X29,X4,X12] : c_List_Olist_OCons(X4,X29,X12) = c_List_Orev(c_append(c_List_Orev(X29,X12),c_List_Olist_OCons(X4,c_List_Olist_ONil,X12),X12),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4108,plain,
spl0_501,
inference(avatar_split_clause,[],[f123,f4106]) ).
fof(f4106,plain,
( spl0_501
<=> ! [X12,X28] :
( c_List_Oremdups(X28,X12) = X28
| c_Nat_Osize(X28,tc_List_Olist(X12)) != c_Nat_Osize(c_List_Oremdups(X28,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f123,axiom,
! [X28,X12] :
( c_List_Oremdups(X28,X12) = X28
| c_Nat_Osize(X28,tc_List_Olist(X12)) != c_Nat_Osize(c_List_Oremdups(X28,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4104,plain,
spl0_500,
inference(avatar_split_clause,[],[f103,f4102]) ).
fof(f4102,plain,
( spl0_500
<=> ! [X29,X2,X12] : ~ c_in(c_Pair(c_List_Olist_ONil,X29,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olex(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f103,axiom,
! [X2,X29,X12] : ~ c_in(c_Pair(c_List_Olist_ONil,X29,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olex(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4100,plain,
spl0_499,
inference(avatar_split_clause,[],[f97,f4098]) ).
fof(f4098,plain,
( spl0_499
<=> ! [X2,X12,X28] : ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olex(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f97,axiom,
! [X2,X28,X12] : ~ c_in(c_Pair(X28,c_List_Olist_ONil,tc_List_Olist(X12),tc_List_Olist(X12)),c_List_Olex(X2,X12),tc_prod(tc_List_Olist(X12),tc_List_Olist(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f4004,plain,
spl0_498,
inference(avatar_split_clause,[],[f371,f4002]) ).
fof(f4002,plain,
( spl0_498
<=> ! [X55,X54,X12,X15] :
( ~ c_Wellfounded__Recursion_Owf(X54,X15)
| ~ c_Wellfounded__Recursion_Owf(X55,X12)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X12,X15),tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f371,axiom,
! [X54,X55,X15,X12] :
( ~ c_Wellfounded__Recursion_Owf(X54,X15)
| ~ c_Wellfounded__Recursion_Owf(X55,X12)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X12,X15),tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f4000,plain,
spl0_497,
inference(avatar_split_clause,[],[f369,f3998]) ).
fof(f3998,plain,
( spl0_497
<=> ! [X15,X53,X12,X52] :
( ~ c_Relation_Otrans(X52,X15)
| ~ c_Relation_Otrans(X53,X12)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X12,X15),tc_prod(X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f369,axiom,
! [X52,X15,X53,X12] :
( ~ c_Relation_Otrans(X52,X15)
| ~ c_Relation_Otrans(X53,X12)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X12,X15),tc_prod(X12,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f3996,plain,
( spl0_496
| ~ spl0_60
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3910,f3862,f1697,f3994]) ).
fof(f3994,plain,
( spl0_496
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f1697,plain,
( spl0_60
<=> ! [X12,X14] : ~ c_in(X14,c_emptyset,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f3862,plain,
( spl0_475
<=> ! [X12,X23,X42] :
( ~ c_in(X23,c_Union(X42,X12),X12)
| c_in(c_Main_OUnionE__1(X23,X42,X12),X42,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f3910,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_60
| ~ spl0_475 ),
inference(resolution,[],[f3863,f1698]) ).
fof(f1698,plain,
( ! [X14,X12] : ~ c_in(X14,c_emptyset,X12)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f3863,plain,
( ! [X42,X23,X12] :
( c_in(c_Main_OUnionE__1(X23,X42,X12),X42,tc_set(X12))
| ~ c_in(X23,c_Union(X42,X12),X12) )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f3862]) ).
fof(f3992,plain,
spl0_495,
inference(avatar_split_clause,[],[f324,f3990]) ).
fof(f3990,plain,
( spl0_495
<=> ! [X40,X12,X23] :
( c_in(c_Main_OdiagE__1(X23,X40,X12),X23,X12)
| ~ c_in(X40,c_Relation_Odiag(X23,X12),tc_prod(X12,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f324,axiom,
! [X40,X12,X23] :
( c_in(c_Main_OdiagE__1(X23,X40,X12),X23,X12)
| ~ c_in(X40,c_Relation_Odiag(X23,X12),tc_prod(X12,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f3988,plain,
spl0_494,
inference(avatar_split_clause,[],[f240,f3986]) ).
fof(f3986,plain,
( spl0_494
<=> ! [X2,X4,X12,X3] :
( c_Wellfounded__Recursion_Owf(X2,X12)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X4,X3,X12,X12),X2,tc_prod(X12,X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f240,axiom,
! [X2,X3,X4,X12] :
( c_Wellfounded__Recursion_Owf(X2,X12)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X4,X3,X12,X12),X2,tc_prod(X12,X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f3984,plain,
spl0_493,
inference(avatar_split_clause,[],[f237,f3982]) ).
fof(f3982,plain,
( spl0_493
<=> ! [X2,X4,X12,X3] :
( c_Wellfounded__Recursion_Oacyclic(X2,X12)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X4,X3,X12,X12),X2,tc_prod(X12,X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f237,axiom,
! [X2,X3,X4,X12] :
( c_Wellfounded__Recursion_Oacyclic(X2,X12)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X4,X3,X12,X12),X2,tc_prod(X12,X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f3980,plain,
spl0_492,
inference(avatar_split_clause,[],[f219,f3978]) ).
fof(f3978,plain,
( spl0_492
<=> ! [X41,X42,X23,X12] :
( ~ c_in(X23,X41,X12)
| ~ c_in(X41,X42,tc_set(X12))
| c_in(X23,c_Union(X42,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f219,axiom,
! [X41,X12,X23,X42] :
( ~ c_in(X23,X41,X12)
| ~ c_in(X41,X42,tc_set(X12))
| c_in(X23,c_Union(X42,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f3976,plain,
spl0_491,
inference(avatar_split_clause,[],[f215,f3974]) ).
fof(f3974,plain,
( spl0_491
<=> ! [X24,X40,X23,X12] :
( c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| ~ c_in(X40,c_union(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f215,axiom,
! [X40,X24,X12,X23] :
( c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| ~ c_in(X40,c_union(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f3972,plain,
spl0_490,
inference(avatar_split_clause,[],[f209,f3970]) ).
fof(f3970,plain,
( spl0_490
<=> ! [X41,X42,X23,X12] :
( c_in(X23,X41,X12)
| ~ c_in(X41,X42,tc_set(X12))
| ~ c_in(X23,c_Inter(X42,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f209,axiom,
! [X41,X12,X23,X42] :
( c_in(X23,X41,X12)
| ~ c_in(X41,X42,tc_set(X12))
| ~ c_in(X23,c_Inter(X42,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f3968,plain,
spl0_489,
inference(avatar_split_clause,[],[f208,f3966]) ).
fof(f3966,plain,
( spl0_489
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X24,X12)
| ~ c_in(X40,X23,X12)
| c_in(X40,c_inter(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f208,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X24,X12)
| ~ c_in(X40,X23,X12)
| c_in(X40,c_inter(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f3964,plain,
spl0_488,
inference(avatar_split_clause,[],[f197,f3962]) ).
fof(f3962,plain,
( spl0_488
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| ~ c_lessequals(X3,X4,X12)
| c_lessequals(c_SetInterval_OlessThan(X3,X12),c_SetInterval_OlessThan(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f197,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| ~ c_lessequals(X3,X4,X12)
| c_lessequals(c_SetInterval_OlessThan(X3,X12),c_SetInterval_OlessThan(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f3960,plain,
spl0_487,
inference(avatar_split_clause,[],[f196,f3958]) ).
fof(f3958,plain,
( spl0_487
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| c_lessequals(X3,X4,X12)
| ~ c_lessequals(c_SetInterval_OlessThan(X3,X12),c_SetInterval_OlessThan(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f196,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| c_lessequals(X3,X4,X12)
| ~ c_lessequals(c_SetInterval_OlessThan(X3,X12),c_SetInterval_OlessThan(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f3956,plain,
spl0_486,
inference(avatar_split_clause,[],[f192,f3954]) ).
fof(f3954,plain,
( spl0_486
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| ~ c_lessequals(X4,X3,X12)
| c_lessequals(c_SetInterval_OgreaterThan(X3,X12),c_SetInterval_OgreaterThan(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f192,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| ~ c_lessequals(X4,X3,X12)
| c_lessequals(c_SetInterval_OgreaterThan(X3,X12),c_SetInterval_OgreaterThan(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f3952,plain,
( spl0_485
| ~ spl0_60
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f3896,f3858,f1697,f3950]) ).
fof(f3858,plain,
( spl0_474
<=> ! [X12,X23,X42] :
( c_in(X23,c_Inter(X42,X12),X12)
| c_in(c_Main_OInterI__1(X23,X42,X12),X42,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f3896,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_60
| ~ spl0_474 ),
inference(resolution,[],[f3859,f1698]) ).
fof(f3859,plain,
( ! [X42,X23,X12] :
( c_in(c_Main_OInterI__1(X23,X42,X12),X42,tc_set(X12))
| c_in(X23,c_Inter(X42,X12),X12) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f3858]) ).
fof(f3948,plain,
spl0_484,
inference(avatar_split_clause,[],[f191,f3946]) ).
fof(f191,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| c_lessequals(X4,X3,X12)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X3,X12),c_SetInterval_OgreaterThan(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f3944,plain,
spl0_483,
inference(avatar_split_clause,[],[f187,f3942]) ).
fof(f3942,plain,
( spl0_483
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Oorder(X12)
| ~ c_lessequals(X3,X4,X12)
| c_lessequals(c_SetInterval_OatMost(X3,X12),c_SetInterval_OatMost(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f187,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Oorder(X12)
| ~ c_lessequals(X3,X4,X12)
| c_lessequals(c_SetInterval_OatMost(X3,X12),c_SetInterval_OatMost(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f3940,plain,
spl0_482,
inference(avatar_split_clause,[],[f186,f3938]) ).
fof(f3938,plain,
( spl0_482
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X3,X4,X12)
| ~ c_lessequals(c_SetInterval_OatMost(X3,X12),c_SetInterval_OatMost(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f186,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X3,X4,X12)
| ~ c_lessequals(c_SetInterval_OatMost(X3,X12),c_SetInterval_OatMost(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f3936,plain,
spl0_481,
inference(avatar_split_clause,[],[f182,f3934]) ).
fof(f3934,plain,
( spl0_481
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Oorder(X12)
| ~ c_lessequals(X4,X3,X12)
| c_lessequals(c_SetInterval_OatLeast(X3,X12),c_SetInterval_OatLeast(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f182,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Oorder(X12)
| ~ c_lessequals(X4,X3,X12)
| c_lessequals(c_SetInterval_OatLeast(X3,X12),c_SetInterval_OatLeast(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f3932,plain,
spl0_480,
inference(avatar_split_clause,[],[f181,f3930]) ).
fof(f3930,plain,
( spl0_480
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X4,X3,X12)
| ~ c_lessequals(c_SetInterval_OatLeast(X3,X12),c_SetInterval_OatLeast(X4,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f181,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X4,X3,X12)
| ~ c_lessequals(c_SetInterval_OatLeast(X3,X12),c_SetInterval_OatLeast(X4,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f3928,plain,
spl0_479,
inference(avatar_split_clause,[],[f150,f3926]) ).
fof(f3926,plain,
( spl0_479
<=> ! [X22,X27] :
( c_less(c_0,X22,tc_nat)
| c_less(c_0,X27,tc_nat)
| ~ c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f150,axiom,
! [X27,X22] :
( c_less(c_0,X22,tc_nat)
| c_less(c_0,X27,tc_nat)
| ~ c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f3894,plain,
( spl0_478
| ~ spl0_66
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f3885,f3850,f1721,f3892]) ).
fof(f3892,plain,
( spl0_478
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f3850,plain,
( spl0_472
<=> ! [X12,X23,X28] :
( ~ c_in(c_Main_Oin__listsI__1(X23,X28,X12),X23,X12)
| c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f3885,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_66
| ~ spl0_472 ),
inference(resolution,[],[f3851,f1722]) ).
fof(f3851,plain,
( ! [X28,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X23,X28,X12),X23,X12)
| c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12)) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f3872,plain,
( spl0_477
| ~ spl0_292
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f3797,f3770,f2933,f3870]) ).
fof(f3870,plain,
( spl0_477
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f2933,plain,
( spl0_292
<=> ! [X12,X23] : c_lessequals(c_emptyset,X23,tc_set(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3770,plain,
( spl0_458
<=> ! [X12,X24,X23] :
( X23 = X24
| ~ c_lessequals(X23,X24,tc_set(X12))
| ~ c_lessequals(X24,X23,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f3797,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_292
| ~ spl0_458 ),
inference(resolution,[],[f3771,f2934]) ).
fof(f2934,plain,
( ! [X12,X23] : c_lessequals(c_emptyset,X23,tc_set(X12))
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f3771,plain,
( ! [X24,X12,X23] :
( ~ c_lessequals(X24,X23,tc_set(X12))
| ~ c_lessequals(X23,X24,tc_set(X12))
| X23 = X24 )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f3770]) ).
fof(f3868,plain,
spl0_476,
inference(avatar_split_clause,[],[f363,f3866]) ).
fof(f3866,plain,
( spl0_476
<=> ! [X2,X0,X12] :
( ~ c_in(X0,X2,tc_prod(X12,X12))
| c_in(X0,c_Transitive__Closure_Ortrancl(X2,X12),tc_prod(X12,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f363,axiom,
! [X2,X0,X12] :
( ~ c_in(X0,X2,tc_prod(X12,X12))
| c_in(X0,c_Transitive__Closure_Ortrancl(X2,X12),tc_prod(X12,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3864,plain,
spl0_475,
inference(avatar_split_clause,[],[f343,f3862]) ).
fof(f343,axiom,
! [X42,X23,X12] :
( ~ c_in(X23,c_Union(X42,X12),X12)
| c_in(c_Main_OUnionE__1(X23,X42,X12),X42,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3860,plain,
spl0_474,
inference(avatar_split_clause,[],[f340,f3858]) ).
fof(f340,axiom,
! [X42,X23,X12] :
( c_in(X23,c_Inter(X42,X12),X12)
| c_in(c_Main_OInterI__1(X23,X42,X12),X42,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3856,plain,
spl0_473,
inference(avatar_split_clause,[],[f303,f3854]) ).
fof(f3854,plain,
( spl0_473
<=> ! [X48,X23,X12,X3] :
( c_in(X3,X23,X12)
| ~ c_in(c_List_Olist_OCons(X3,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f303,axiom,
! [X3,X48,X12,X23] :
( c_in(X3,X23,X12)
| ~ c_in(c_List_Olist_OCons(X3,X48,X12),c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3852,plain,
spl0_472,
inference(avatar_split_clause,[],[f292,f3850]) ).
fof(f292,axiom,
! [X28,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X23,X28,X12),X23,X12)
| c_in(X28,c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3848,plain,
spl0_471,
inference(avatar_split_clause,[],[f287,f3846]) ).
fof(f3846,plain,
( spl0_471
<=> ! [X45,X22] :
( c_0 != c_Divides_Oop_Amod(X22,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X22),tc_IntDef_Oint) = X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f287,axiom,
! [X45,X22] :
( c_0 != c_Divides_Oop_Amod(X22,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X22),tc_IntDef_Oint) = X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3844,plain,
spl0_470,
inference(avatar_split_clause,[],[f271,f3842]) ).
fof(f3842,plain,
( spl0_470
<=> ! [X45,X22] :
( c_0 != c_Divides_Oop_Amod(X22,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X22),tc_nat) = X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f271,axiom,
! [X45,X22] :
( c_0 != c_Divides_Oop_Amod(X22,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X22),tc_nat) = X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3840,plain,
spl0_469,
inference(avatar_split_clause,[],[f244,f3838]) ).
fof(f3838,plain,
( spl0_469
<=> ! [X4,X3] :
( ~ c_less(X3,X4,tc_nat)
| c_in(c_Pair(X3,X4,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f244,axiom,
! [X3,X4] :
( ~ c_less(X3,X4,tc_nat)
| c_in(c_Pair(X3,X4,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f3836,plain,
( spl0_468
| ~ spl0_292
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f3789,f3762,f2933,f3834]) ).
fof(f3834,plain,
( spl0_468
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f3762,plain,
( spl0_456
<=> ! [X12,X24,X23] :
( X23 = X24
| ~ c_lessequals(X23,X24,tc_set(X12))
| c_less(X23,X24,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f3789,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_292
| ~ spl0_456 ),
inference(resolution,[],[f3763,f2934]) ).
fof(f3763,plain,
( ! [X24,X12,X23] :
( ~ c_lessequals(X23,X24,tc_set(X12))
| X23 = X24
| c_less(X23,X24,tc_set(X12)) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f3762]) ).
fof(f3832,plain,
spl0_467,
inference(avatar_split_clause,[],[f243,f3830]) ).
fof(f3830,plain,
( spl0_467
<=> ! [X4,X3] :
( c_less(X3,X4,tc_nat)
| ~ c_in(c_Pair(X3,X4,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f243,axiom,
! [X3,X4] :
( c_less(X3,X4,tc_nat)
| ~ c_in(c_Pair(X3,X4,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f3828,plain,
spl0_466,
inference(avatar_split_clause,[],[f223,f3826]) ).
fof(f3826,plain,
( spl0_466
<=> ! [X23,X14,X12,X16] :
( X14 = X16
| c_in(X14,X23,X12)
| ~ c_in(X14,c_insert(X16,X23,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f223,axiom,
! [X16,X14,X12,X23] :
( X14 = X16
| c_in(X14,X23,X12)
| ~ c_in(X14,c_insert(X16,X23,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3824,plain,
spl0_465,
inference(avatar_split_clause,[],[f171,f3822]) ).
fof(f3822,plain,
( spl0_465
<=> ! [X15,X13,X14,X12,X16,X39] :
( X16 = X39
| c_Pair(X14,X16,X12,X15) != c_Pair(X13,X39,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f171,axiom,
! [X39,X16,X14,X15,X12,X13] :
( X16 = X39
| c_Pair(X14,X16,X12,X15) != c_Pair(X13,X39,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3820,plain,
spl0_464,
inference(avatar_split_clause,[],[f170,f3818]) ).
fof(f3818,plain,
( spl0_464
<=> ! [X16,X13,X14,X12,X15,X39] :
( X13 = X14
| c_Pair(X14,X16,X12,X15) != c_Pair(X13,X39,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f170,axiom,
! [X39,X16,X14,X15,X12,X13] :
( X13 = X14
| c_Pair(X14,X16,X12,X15) != c_Pair(X13,X39,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3816,plain,
spl0_463,
inference(avatar_split_clause,[],[f65,f3814]) ).
fof(f3814,plain,
( spl0_463
<=> ! [X15,X18,X20,X12,X17,X21] :
( X18 = X21
| c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OScons(X20,X21,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f65,axiom,
! [X21,X18,X17,X15,X12,X20] :
( X18 = X21
| c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OScons(X20,X21,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3812,plain,
spl0_462,
inference(avatar_split_clause,[],[f64,f3810]) ).
fof(f3810,plain,
( spl0_462
<=> ! [X17,X18,X20,X21,X12,X15] :
( X17 = X20
| c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OScons(X20,X21,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f64,axiom,
! [X21,X18,X17,X15,X12,X20] :
( X17 = X20
| c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OScons(X20,X21,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3808,plain,
spl0_461,
inference(avatar_split_clause,[],[f45,f3806]) ).
fof(f3806,plain,
( spl0_461
<=> ! [X4,X3] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f45,axiom,
! [X3,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OK_0) ).
fof(f3804,plain,
spl0_460,
inference(avatar_split_clause,[],[f19,f3802]) ).
fof(f3802,plain,
( spl0_460
<=> ! [X4,X3] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f19,axiom,
! [X3,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3),X4),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__2_0) ).
fof(f3780,plain,
( spl0_459
| ~ spl0_389
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f3752,f3709,f3368,f3778]) ).
fof(f3778,plain,
( spl0_459
<=> ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f3368,plain,
( spl0_389
<=> ! [X12,X24,X23] :
( ~ c_less(X23,X24,tc_set(X12))
| ~ c_lessequals(X24,X23,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f3709,plain,
( spl0_443
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f3752,plain,
( ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1))
| ~ spl0_389
| ~ spl0_443 ),
inference(resolution,[],[f3710,f3369]) ).
fof(f3369,plain,
( ! [X24,X12,X23] :
( ~ c_lessequals(X24,X23,tc_set(X12))
| ~ c_less(X23,X24,tc_set(X12)) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3710,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f3772,plain,
spl0_458,
inference(avatar_split_clause,[],[f355,f3770]) ).
fof(f355,axiom,
! [X24,X12,X23] :
( X23 = X24
| ~ c_lessequals(X23,X24,tc_set(X12))
| ~ c_lessequals(X24,X23,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3768,plain,
spl0_457,
inference(avatar_split_clause,[],[f352,f3766]) ).
fof(f3766,plain,
( spl0_457
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| ~ c_lessequals(X23,X24,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f352,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X23,X12)
| c_in(X40,X24,X12)
| ~ c_lessequals(X23,X24,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3764,plain,
spl0_456,
inference(avatar_split_clause,[],[f348,f3762]) ).
fof(f348,axiom,
! [X24,X12,X23] :
( X23 = X24
| ~ c_lessequals(X23,X24,tc_set(X12))
| c_less(X23,X24,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3760,plain,
spl0_455,
inference(avatar_split_clause,[],[f344,f3758]) ).
fof(f3758,plain,
( spl0_455
<=> ! [X12,X23,X42] :
( ~ c_in(X23,c_Union(X42,X12),X12)
| c_in(X23,c_Main_OUnionE__1(X23,X42,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f344,axiom,
! [X42,X23,X12] :
( ~ c_in(X23,c_Union(X42,X12),X12)
| c_in(X23,c_Main_OUnionE__1(X23,X42,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3756,plain,
spl0_454,
inference(avatar_split_clause,[],[f341,f3754]) ).
fof(f3754,plain,
( spl0_454
<=> ! [X12,X23,X42] :
( c_in(X23,c_Inter(X42,X12),X12)
| ~ c_in(X23,c_Main_OInterI__1(X23,X42,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f341,axiom,
! [X42,X23,X12] :
( c_in(X23,c_Inter(X42,X12),X12)
| ~ c_in(X23,c_Main_OInterI__1(X23,X42,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3751,plain,
spl0_453,
inference(avatar_split_clause,[],[f275,f3749]) ).
fof(f3749,plain,
( spl0_453
<=> ! [X25,X12,X26] :
( ~ c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_inter(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f275,axiom,
! [X26,X12,X25] :
( ~ c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_inter(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3747,plain,
spl0_452,
inference(avatar_split_clause,[],[f274,f3745]) ).
fof(f3745,plain,
( spl0_452
<=> ! [X25,X12,X26] :
( ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_inter(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f274,axiom,
! [X26,X25,X12] :
( ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_inter(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3743,plain,
spl0_451,
inference(avatar_split_clause,[],[f273,f3741]) ).
fof(f3741,plain,
( spl0_451
<=> ! [X12,X23,X14] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_insert(X14,X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f273,axiom,
! [X14,X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_insert(X14,X23,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3739,plain,
spl0_450,
inference(avatar_split_clause,[],[f177,f3737]) ).
fof(f3737,plain,
( spl0_450
<=> ! [X16,X12,X14] :
( X14 = X16
| ~ c_in(c_Pair(X14,X16,X12,X12),c_Relation_OId,tc_prod(X12,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f177,axiom,
! [X16,X14,X12] :
( X14 = X16
| ~ c_in(c_Pair(X14,X16,X12,X12),c_Relation_OId,tc_prod(X12,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3735,plain,
spl0_449,
inference(avatar_split_clause,[],[f87,f3733]) ).
fof(f3733,plain,
( spl0_449
<=> ! [X22,X27,X19] :
( c_Divides_Oop_Advd(X19,X27,tc_nat)
| ~ c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f87,axiom,
! [X19,X27,X22] :
( c_Divides_Oop_Advd(X19,X27,tc_nat)
| ~ c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3731,plain,
spl0_448,
inference(avatar_split_clause,[],[f86,f3729]) ).
fof(f3729,plain,
( spl0_448
<=> ! [X22,X27,X19] :
( c_Divides_Oop_Advd(X19,X22,tc_nat)
| ~ c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f86,axiom,
! [X19,X27,X22] :
( c_Divides_Oop_Advd(X19,X22,tc_nat)
| ~ c_Divides_Oop_Advd(X19,c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3727,plain,
spl0_447,
inference(avatar_split_clause,[],[f82,f3725]) ).
fof(f3725,plain,
( spl0_447
<=> ! [X25,X12,X26] :
( c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f82,axiom,
! [X26,X12,X25] :
( c_in(X26,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3723,plain,
spl0_446,
inference(avatar_split_clause,[],[f81,f3721]) ).
fof(f3721,plain,
( spl0_446
<=> ! [X25,X12,X26] :
( c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f81,axiom,
! [X26,X25,X12] :
( c_in(X25,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_union(X25,X26,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3719,plain,
spl0_445,
inference(avatar_split_clause,[],[f80,f3717]) ).
fof(f3717,plain,
( spl0_445
<=> ! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_Pow(X23,X12),c_Finite__Set_OFinites,tc_set(tc_set(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f80,axiom,
! [X12,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| c_in(c_Pow(X23,X12),c_Finite__Set_OFinites,tc_set(tc_set(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3715,plain,
spl0_444,
inference(avatar_split_clause,[],[f79,f3713]) ).
fof(f3713,plain,
( spl0_444
<=> ! [X12,X23] :
( c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_Pow(X23,X12),c_Finite__Set_OFinites,tc_set(tc_set(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f79,axiom,
! [X12,X23] :
( c_in(X23,c_Finite__Set_OFinites,tc_set(X12))
| ~ c_in(c_Pow(X23,X12),c_Finite__Set_OFinites,tc_set(tc_set(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3711,plain,
( spl0_443
| ~ spl0_66
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f3693,f3616,f1721,f3709]) ).
fof(f3693,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_66
| ~ spl0_438 ),
inference(resolution,[],[f3617,f1722]) ).
fof(f3707,plain,
spl0_442,
inference(avatar_split_clause,[],[f17,f3705]) ).
fof(f3705,plain,
( spl0_442
<=> ! [X2] :
( c_Comb_Ocomb_OS = X2
| ~ c_in(c_Pair(c_Comb_Ocomb_OS,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f17,axiom,
! [X2] :
( c_Comb_Ocomb_OS = X2
| ~ c_in(c_Pair(c_Comb_Ocomb_OS,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OS__parcontractE_0) ).
fof(f3703,plain,
spl0_441,
inference(avatar_split_clause,[],[f11,f3701]) ).
fof(f3701,plain,
( spl0_441
<=> ! [X2] :
( c_Comb_Ocomb_OK = X2
| ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f11,axiom,
! [X2] :
( c_Comb_Ocomb_OK = X2
| ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK__parcontractE_0) ).
fof(f3636,plain,
( spl0_440
| ~ spl0_62
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f3597,f3472,f1705,f3633]) ).
fof(f3633,plain,
( spl0_440
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1705,plain,
( spl0_62
<=> ! [X22] : c_Divides_Oop_Advd(X22,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f3472,plain,
( spl0_404
<=> ! [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_404])]) ).
fof(f3597,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_62
| ~ spl0_404 ),
inference(resolution,[],[f3473,f1706]) ).
fof(f1706,plain,
( ! [X22] : c_Divides_Oop_Advd(X22,c_0,tc_IntDef_Oint)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f3473,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f3472]) ).
fof(f3622,plain,
spl0_439,
inference(avatar_split_clause,[],[f364,f3620]) ).
fof(f3620,plain,
( spl0_439
<=> ! [X2,X12,X14] : c_in(c_Pair(X14,X14,X12,X12),c_Transitive__Closure_Ortrancl(X2,X12),tc_prod(X12,X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f364,axiom,
! [X2,X14,X12] : c_in(c_Pair(X14,X14,X12,X12),c_Transitive__Closure_Ortrancl(X2,X12),tc_prod(X12,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3618,plain,
spl0_438,
inference(avatar_split_clause,[],[f354,f3616]) ).
fof(f354,axiom,
! [X24,X12,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| ~ c_in(c_Main_OsubsetI__1(X23,X24,X12),X24,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3614,plain,
spl0_437,
inference(avatar_split_clause,[],[f353,f3612]) ).
fof(f3612,plain,
( spl0_437
<=> ! [X12,X24,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| c_in(c_Main_OsubsetI__1(X23,X24,X12),X23,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f353,axiom,
! [X24,X12,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| c_in(c_Main_OsubsetI__1(X23,X24,X12),X23,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3610,plain,
spl0_436,
inference(avatar_split_clause,[],[f293,f3608]) ).
fof(f3608,plain,
( spl0_436
<=> ! [X12,X28] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X28,X12),tc_List_Olist(X12)),c_Nat_Osize(X28,tc_List_Olist(X12)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f293,axiom,
! [X28,X12] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X28,X12),tc_List_Olist(X12)),c_Nat_Osize(X28,tc_List_Olist(X12)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3606,plain,
spl0_435,
inference(avatar_split_clause,[],[f246,f3604]) ).
fof(f3604,plain,
( spl0_435
<=> ! [X15,X4,X12,X3] :
( X3 = X4
| c_Datatype__Universe_ONumb(X3,X12,X15) != c_Datatype__Universe_ONumb(X4,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f246,axiom,
! [X3,X4,X15,X12] :
( X3 = X4
| c_Datatype__Universe_ONumb(X3,X12,X15) != c_Datatype__Universe_ONumb(X4,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3596,plain,
spl0_434,
inference(avatar_split_clause,[],[f245,f3594]) ).
fof(f3594,plain,
( spl0_434
<=> ! [X15,X4,X12,X3] :
( X3 = X4
| c_Datatype__Universe_OLeaf(X3,X12,X15) != c_Datatype__Universe_OLeaf(X4,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f245,axiom,
! [X3,X4,X15,X12] :
( X3 = X4
| c_Datatype__Universe_OLeaf(X3,X12,X15) != c_Datatype__Universe_OLeaf(X4,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3592,plain,
spl0_433,
inference(avatar_split_clause,[],[f233,f3590]) ).
fof(f3590,plain,
( spl0_433
<=> ! [X15,X4,X12,X3] :
( X3 = X4
| c_Sum__Type_OInr(X3,X15,X12) != c_Sum__Type_OInr(X4,X15,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f233,axiom,
! [X3,X4,X15,X12] :
( X3 = X4
| c_Sum__Type_OInr(X3,X15,X12) != c_Sum__Type_OInr(X4,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3588,plain,
spl0_432,
inference(avatar_split_clause,[],[f231,f3586]) ).
fof(f3586,plain,
( spl0_432
<=> ! [X15,X4,X12,X3] :
( X3 = X4
| c_Sum__Type_OInl(X3,X12,X15) != c_Sum__Type_OInl(X4,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f231,axiom,
! [X3,X4,X15,X12] :
( X3 = X4
| c_Sum__Type_OInl(X3,X12,X15) != c_Sum__Type_OInl(X4,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3584,plain,
spl0_431,
inference(avatar_split_clause,[],[f228,f3582]) ).
fof(f3582,plain,
( spl0_431
<=> ! [X23,X14,X12,X16] :
( X14 = X16
| c_insert(X14,X23,X12) != c_insert(X16,c_emptyset,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f228,axiom,
! [X16,X14,X12,X23] :
( X14 = X16
| c_insert(X14,X23,X12) != c_insert(X16,c_emptyset,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
fof(f3580,plain,
spl0_430,
inference(avatar_split_clause,[],[f211,f3578]) ).
fof(f3578,plain,
( spl0_430
<=> ! [X12,X24,X23] :
( ~ c_lessequals(X23,X24,tc_set(X12))
| c_in(X23,c_Pow(X24,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f211,axiom,
! [X24,X12,X23] :
( ~ c_lessequals(X23,X24,tc_set(X12))
| c_in(X23,c_Pow(X24,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3576,plain,
spl0_429,
inference(avatar_split_clause,[],[f210,f3574]) ).
fof(f3574,plain,
( spl0_429
<=> ! [X12,X24,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| ~ c_in(X23,c_Pow(X24,X12),tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f210,axiom,
! [X24,X12,X23] :
( c_lessequals(X23,X24,tc_set(X12))
| ~ c_in(X23,c_Pow(X24,X12),tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3572,plain,
spl0_428,
inference(avatar_split_clause,[],[f204,f3570]) ).
fof(f3570,plain,
( spl0_428
<=> ! [X24,X40,X23,X12] :
( c_in(X40,X23,X12)
| ~ c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f204,axiom,
! [X40,X24,X12,X23] :
( c_in(X40,X23,X12)
| ~ c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3568,plain,
spl0_427,
inference(avatar_split_clause,[],[f203,f3566]) ).
fof(f3566,plain,
( spl0_427
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X24,X12)
| ~ c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f203,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X24,X12)
| ~ c_in(X40,c_minus(X23,X24,tc_set(X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3564,plain,
spl0_426,
inference(avatar_split_clause,[],[f200,f3562]) ).
fof(f3562,plain,
( spl0_426
<=> ! [X12,X24,X23] :
( X23 = X24
| c_uminus(X23,tc_set(X12)) != c_uminus(X24,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f200,axiom,
! [X24,X12,X23] :
( X23 = X24
| c_uminus(X23,tc_set(X12)) != c_uminus(X24,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3560,plain,
spl0_425,
inference(avatar_split_clause,[],[f195,f3558]) ).
fof(f3558,plain,
( spl0_425
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| ~ c_less(X37,X19,X12)
| c_in(X37,c_SetInterval_OlessThan(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f195,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| ~ c_less(X37,X19,X12)
| c_in(X37,c_SetInterval_OlessThan(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3556,plain,
( spl0_424
| ~ spl0_316
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3401,f3324,f3030,f3554]) ).
fof(f3554,plain,
( spl0_424
<=> ! [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_424])]) ).
fof(f3030,plain,
( spl0_316
<=> ! [X22,X19] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3324,plain,
( spl0_378
<=> ! [X6,X5] :
( c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f3401,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316
| ~ spl0_378 ),
inference(resolution,[],[f3325,f3031]) ).
fof(f3031,plain,
( ! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3030]) ).
fof(f3325,plain,
( ! [X6,X5] :
( ~ c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3552,plain,
spl0_423,
inference(avatar_split_clause,[],[f194,f3550]) ).
fof(f3550,plain,
( spl0_423
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| c_less(X37,X19,X12)
| ~ c_in(X37,c_SetInterval_OlessThan(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f194,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| c_less(X37,X19,X12)
| ~ c_in(X37,c_SetInterval_OlessThan(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3548,plain,
spl0_422,
inference(avatar_split_clause,[],[f193,f3546]) ).
fof(f3546,plain,
( spl0_422
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OlessThan(X3,X12) != c_SetInterval_OlessThan(X4,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f193,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OlessThan(X3,X12) != c_SetInterval_OlessThan(X4,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3544,plain,
spl0_421,
inference(avatar_split_clause,[],[f190,f3542]) ).
fof(f3542,plain,
( spl0_421
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| ~ c_less(X19,X37,X12)
| c_in(X37,c_SetInterval_OgreaterThan(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f190,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| ~ c_less(X19,X37,X12)
| c_in(X37,c_SetInterval_OgreaterThan(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3540,plain,
spl0_420,
inference(avatar_split_clause,[],[f189,f3538]) ).
fof(f3538,plain,
( spl0_420
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| c_less(X19,X37,X12)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f189,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| c_less(X19,X37,X12)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3536,plain,
spl0_419,
inference(avatar_split_clause,[],[f188,f3534]) ).
fof(f3534,plain,
( spl0_419
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OgreaterThan(X3,X12) != c_SetInterval_OgreaterThan(X4,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f188,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OgreaterThan(X3,X12) != c_SetInterval_OgreaterThan(X4,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3532,plain,
spl0_418,
inference(avatar_split_clause,[],[f185,f3530]) ).
fof(f3530,plain,
( spl0_418
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| ~ c_lessequals(X37,X19,X12)
| c_in(X37,c_SetInterval_OatMost(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f185,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| ~ c_lessequals(X37,X19,X12)
| c_in(X37,c_SetInterval_OatMost(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3528,plain,
spl0_417,
inference(avatar_split_clause,[],[f184,f3526]) ).
fof(f3526,plain,
( spl0_417
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| c_lessequals(X37,X19,X12)
| ~ c_in(X37,c_SetInterval_OatMost(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f184,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| c_lessequals(X37,X19,X12)
| ~ c_in(X37,c_SetInterval_OatMost(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3524,plain,
spl0_416,
inference(avatar_split_clause,[],[f183,f3522]) ).
fof(f3522,plain,
( spl0_416
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OatMost(X3,X12) != c_SetInterval_OatMost(X4,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f183,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OatMost(X3,X12) != c_SetInterval_OatMost(X4,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3520,plain,
spl0_415,
inference(avatar_split_clause,[],[f180,f3518]) ).
fof(f3518,plain,
( spl0_415
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| ~ c_lessequals(X19,X37,X12)
| c_in(X37,c_SetInterval_OatLeast(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f180,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| ~ c_lessequals(X19,X37,X12)
| c_in(X37,c_SetInterval_OatLeast(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3516,plain,
spl0_414,
inference(avatar_split_clause,[],[f179,f3514]) ).
fof(f3514,plain,
( spl0_414
<=> ! [X37,X12,X19] :
( ~ class_Orderings_Oord(X12)
| c_lessequals(X19,X37,X12)
| ~ c_in(X37,c_SetInterval_OatLeast(X19,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f179,axiom,
! [X37,X19,X12] :
( ~ class_Orderings_Oord(X12)
| c_lessequals(X19,X37,X12)
| ~ c_in(X37,c_SetInterval_OatLeast(X19,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3512,plain,
( spl0_413
| ~ spl0_315
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3400,f3324,f3026,f3510]) ).
fof(f3510,plain,
( spl0_413
<=> ! [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_413])]) ).
fof(f3026,plain,
( spl0_315
<=> ! [X22,X19] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3400,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315
| ~ spl0_378 ),
inference(resolution,[],[f3325,f3027]) ).
fof(f3027,plain,
( ! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f3026]) ).
fof(f3508,plain,
spl0_412,
inference(avatar_split_clause,[],[f178,f3506]) ).
fof(f3506,plain,
( spl0_412
<=> ! [X4,X12,X3] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OatLeast(X3,X12) != c_SetInterval_OatLeast(X4,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f178,axiom,
! [X3,X4,X12] :
( ~ class_Orderings_Olinorder(X12)
| X3 = X4
| c_SetInterval_OatLeast(X3,X12) != c_SetInterval_OatLeast(X4,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3504,plain,
spl0_411,
inference(avatar_split_clause,[],[f134,f3502]) ).
fof(f3502,plain,
( spl0_411
<=> ! [X12,X29,X28,X30] :
( X29 = X30
| c_append(X28,X29,X12) != c_append(X28,X30,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f134,axiom,
! [X28,X29,X12,X30] :
( X29 = X30
| c_append(X28,X29,X12) != c_append(X28,X30,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3500,plain,
spl0_410,
inference(avatar_split_clause,[],[f128,f3498]) ).
fof(f3498,plain,
( spl0_410
<=> ! [X35,X14,X13,X12,X36] :
( X35 = X36
| c_List_Olist_OCons(X13,X35,X12) != c_List_Olist_OCons(X14,X36,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f128,axiom,
! [X36,X14,X35,X12,X13] :
( X35 = X36
| c_List_Olist_OCons(X13,X35,X12) != c_List_Olist_OCons(X14,X36,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3496,plain,
spl0_409,
inference(avatar_split_clause,[],[f127,f3494]) ).
fof(f3494,plain,
( spl0_409
<=> ! [X35,X13,X14,X12,X36] :
( X13 = X14
| c_List_Olist_OCons(X13,X35,X12) != c_List_Olist_OCons(X14,X36,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f127,axiom,
! [X36,X14,X35,X12,X13] :
( X13 = X14
| c_List_Olist_OCons(X13,X35,X12) != c_List_Olist_OCons(X14,X36,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3492,plain,
spl0_408,
inference(avatar_split_clause,[],[f112,f3490]) ).
fof(f3490,plain,
( spl0_408
<=> ! [X12,X29,X28,X30] :
( X29 = X30
| c_append(X29,X28,X12) != c_append(X30,X28,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f112,axiom,
! [X28,X29,X12,X30] :
( X29 = X30
| c_append(X29,X28,X12) != c_append(X30,X28,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3488,plain,
spl0_407,
inference(avatar_split_clause,[],[f58,f3486]) ).
fof(f3486,plain,
( spl0_407
<=> ! [X18,X17,X12,X15] :
( X17 = X18
| c_Datatype__Universe_OIn1(X18,X12,X15) != c_Datatype__Universe_OIn1(X17,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f58,axiom,
! [X18,X17,X15,X12] :
( X17 = X18
| c_Datatype__Universe_OIn1(X18,X12,X15) != c_Datatype__Universe_OIn1(X17,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3484,plain,
spl0_406,
inference(avatar_split_clause,[],[f56,f3482]) ).
fof(f3482,plain,
( spl0_406
<=> ! [X18,X17,X12,X15] :
( X17 = X18
| c_Datatype__Universe_OIn0(X17,X12,X15) != c_Datatype__Universe_OIn0(X18,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f56,axiom,
! [X18,X17,X15,X12] :
( X17 = X18
| c_Datatype__Universe_OIn0(X17,X12,X15) != c_Datatype__Universe_OIn0(X18,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3480,plain,
spl0_405,
inference(avatar_split_clause,[],[f54,f3478]) ).
fof(f3478,plain,
( spl0_405
<=> ! [X14,X12,X16,X15] :
( X14 = X16
| c_Datatype__Universe_OAtom(X14,X12,X15) != c_Datatype__Universe_OAtom(X16,X12,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f54,axiom,
! [X16,X14,X15,X12] :
( X14 = X16
| c_Datatype__Universe_OAtom(X14,X12,X15) != c_Datatype__Universe_OAtom(X16,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3474,plain,
( spl0_404
| ~ spl0_306
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f3397,f3320,f2990,f3472]) ).
fof(f2990,plain,
( spl0_306
<=> ! [X22] :
( c_0 = X22
| ~ c_Divides_Oop_Advd(c_0,X22,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3320,plain,
( spl0_377
<=> ! [X6,X5] :
( ~ c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f3397,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_306
| ~ spl0_377 ),
inference(resolution,[],[f3321,f2991]) ).
fof(f2991,plain,
( ! [X22] :
( ~ c_Divides_Oop_Advd(c_0,X22,tc_IntDef_Oint)
| c_0 = X22 )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f3321,plain,
( ! [X6,X5] :
( c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f3465,plain,
spl0_403,
inference(avatar_split_clause,[],[f221,f3463]) ).
fof(f3463,plain,
( spl0_403
<=> ! [X24,X14,X12,X16] :
( ~ c_in(X14,X24,X12)
| c_in(X14,c_insert(X16,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f221,axiom,
! [X16,X14,X24,X12] :
( ~ c_in(X14,X24,X12)
| c_in(X14,c_insert(X16,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3461,plain,
spl0_402,
inference(avatar_split_clause,[],[f214,f3459]) ).
fof(f3459,plain,
( spl0_402
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X23,X12)
| c_in(X40,c_union(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f214,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X23,X12)
| c_in(X40,c_union(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3457,plain,
spl0_401,
inference(avatar_split_clause,[],[f213,f3455]) ).
fof(f3455,plain,
( spl0_401
<=> ! [X24,X40,X23,X12] :
( ~ c_in(X40,X24,X12)
| c_in(X40,c_union(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f213,axiom,
! [X40,X24,X12,X23] :
( ~ c_in(X40,X24,X12)
| c_in(X40,c_union(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3453,plain,
spl0_400,
inference(avatar_split_clause,[],[f207,f3451]) ).
fof(f3451,plain,
( spl0_400
<=> ! [X24,X40,X23,X12] :
( c_in(X40,X23,X12)
| ~ c_in(X40,c_inter(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f207,axiom,
! [X40,X24,X12,X23] :
( c_in(X40,X23,X12)
| ~ c_in(X40,c_inter(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3449,plain,
spl0_399,
inference(avatar_split_clause,[],[f206,f3447]) ).
fof(f3447,plain,
( spl0_399
<=> ! [X24,X40,X23,X12] :
( c_in(X40,X24,X12)
| ~ c_in(X40,c_inter(X23,X24,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f206,axiom,
! [X40,X24,X12,X23] :
( c_in(X40,X24,X12)
| ~ c_in(X40,c_inter(X23,X24,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3445,plain,
spl0_398,
inference(avatar_split_clause,[],[f199,f3443]) ).
fof(f3443,plain,
( spl0_398
<=> ! [X40,X12,X23] :
( c_in(X40,X23,X12)
| c_in(X40,c_uminus(X23,tc_set(X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f199,axiom,
! [X40,X12,X23] :
( c_in(X40,X23,X12)
| c_in(X40,c_uminus(X23,tc_set(X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3441,plain,
spl0_397,
inference(avatar_split_clause,[],[f198,f3439]) ).
fof(f3439,plain,
( spl0_397
<=> ! [X40,X12,X23] :
( ~ c_in(X40,X23,X12)
| ~ c_in(X40,c_uminus(X23,tc_set(X12)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f198,axiom,
! [X40,X12,X23] :
( ~ c_in(X40,X23,X12)
| ~ c_in(X40,c_uminus(X23,tc_set(X12)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3437,plain,
spl0_396,
inference(avatar_split_clause,[],[f152,f3435]) ).
fof(f3435,plain,
( spl0_396
<=> ! [X22,X27] :
( ~ c_less(c_0,X27,tc_nat)
| c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f152,axiom,
! [X27,X22] :
( ~ c_less(c_0,X27,tc_nat)
| c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3433,plain,
spl0_395,
inference(avatar_split_clause,[],[f151,f3431]) ).
fof(f3431,plain,
( spl0_395
<=> ! [X22,X27] :
( ~ c_less(c_0,X22,tc_nat)
| c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f151,axiom,
! [X27,X22] :
( ~ c_less(c_0,X22,tc_nat)
| c_less(c_0,c_plus(X22,X27,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3429,plain,
spl0_394,
inference(avatar_split_clause,[],[f47,f3427]) ).
fof(f3427,plain,
( spl0_394
<=> ! [X12,X11,X3] :
( c_Datatype_Ooption_OSome(X3,X12) = X11
| ~ c_in(X3,c_Datatype_Oo2s(X11,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f47,axiom,
! [X3,X11,X12] :
( c_Datatype_Ooption_OSome(X3,X12) = X11
| ~ c_in(X3,c_Datatype_Oo2s(X11,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3424,plain,
( spl0_393
| ~ spl0_293
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f3419,f3368,f2937,f3422]) ).
fof(f3422,plain,
( spl0_393
<=> ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f3419,plain,
( ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1))
| ~ spl0_293
| ~ spl0_389 ),
inference(resolution,[],[f3369,f2938]) ).
fof(f3386,plain,
( ~ spl0_392
| ~ spl0_322
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f3379,f3268,f3070,f3383]) ).
fof(f3070,plain,
( spl0_322
<=> ! [X47] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f3379,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_322
| ~ spl0_364 ),
inference(resolution,[],[f3269,f3071]) ).
fof(f3071,plain,
( ! [X47] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f3378,plain,
spl0_391,
inference(avatar_split_clause,[],[f349,f3376]) ).
fof(f3376,plain,
( spl0_391
<=> ! [X16,X12,X14] :
( X14 = X16
| ~ c_in(X16,c_insert(X14,c_emptyset,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f349,axiom,
! [X16,X14,X12] :
( X14 = X16
| ~ c_in(X16,c_insert(X14,c_emptyset,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3374,plain,
spl0_390,
inference(avatar_split_clause,[],[f347,f3372]) ).
fof(f3372,plain,
( spl0_390
<=> ! [X12,X24,X23] :
( ~ c_less(X23,X24,tc_set(X12))
| c_lessequals(X23,X24,tc_set(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f347,axiom,
! [X24,X12,X23] :
( ~ c_less(X23,X24,tc_set(X12))
| c_lessequals(X23,X24,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3370,plain,
spl0_389,
inference(avatar_split_clause,[],[f346,f3368]) ).
fof(f346,axiom,
! [X24,X12,X23] :
( ~ c_less(X23,X24,tc_set(X12))
| ~ c_lessequals(X24,X23,tc_set(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3366,plain,
spl0_388,
inference(avatar_split_clause,[],[f172,f3364]) ).
fof(f172,axiom,
! [X14,X12] : c_in(c_Pair(X14,X14,X12,X12),c_Relation_OId,tc_prod(X12,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3362,plain,
spl0_387,
inference(avatar_split_clause,[],[f147,f3360]) ).
fof(f3360,plain,
( spl0_387
<=> ! [X22,X27] :
( ~ c_less(X22,X27,tc_nat)
| c_less(c_Suc(X22),c_Suc(X27),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f147,axiom,
! [X27,X22] :
( ~ c_less(X22,X27,tc_nat)
| c_less(c_Suc(X22),c_Suc(X27),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3358,plain,
spl0_386,
inference(avatar_split_clause,[],[f146,f3356]) ).
fof(f3356,plain,
( spl0_386
<=> ! [X22,X27] :
( c_less(X22,X27,tc_nat)
| ~ c_less(c_Suc(X22),c_Suc(X27),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f146,axiom,
! [X27,X22] :
( c_less(X22,X27,tc_nat)
| ~ c_less(c_Suc(X22),c_Suc(X27),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3354,plain,
spl0_385,
inference(avatar_split_clause,[],[f145,f3352]) ).
fof(f3352,plain,
( spl0_385
<=> ! [X22,X27] :
( ~ c_lessequals(X27,X22,tc_nat)
| c_lessequals(c_Suc(X27),c_Suc(X22),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f145,axiom,
! [X27,X22] :
( ~ c_lessequals(X27,X22,tc_nat)
| c_lessequals(c_Suc(X27),c_Suc(X22),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3350,plain,
spl0_384,
inference(avatar_split_clause,[],[f144,f3348]) ).
fof(f3348,plain,
( spl0_384
<=> ! [X22,X27] :
( c_lessequals(X27,X22,tc_nat)
| ~ c_lessequals(c_Suc(X27),c_Suc(X22),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f144,axiom,
! [X27,X22] :
( c_lessequals(X27,X22,tc_nat)
| ~ c_lessequals(c_Suc(X27),c_Suc(X22),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3346,plain,
spl0_383,
inference(avatar_split_clause,[],[f133,f3344]) ).
fof(f3344,plain,
( spl0_383
<=> ! [X29,X12,X28] :
( X28 = X29
| c_List_Orev(X28,X12) != c_List_Orev(X29,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f133,axiom,
! [X28,X29,X12] :
( X28 = X29
| c_List_Orev(X28,X12) != c_List_Orev(X29,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3342,plain,
spl0_382,
inference(avatar_split_clause,[],[f122,f3340]) ).
fof(f3340,plain,
( spl0_382
<=> ! [X12,X28] :
( c_List_Olist_ONil = X28
| c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X12)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f122,axiom,
! [X28,X12] :
( c_List_Olist_ONil = X28
| c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X12)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3338,plain,
spl0_381,
inference(avatar_split_clause,[],[f118,f3336]) ).
fof(f3336,plain,
( spl0_381
<=> ! [X34,X32,X31,X33] :
( X32 = X34
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f118,axiom,
! [X31,X34,X32,X33] :
( X32 = X34
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3334,plain,
spl0_380,
inference(avatar_split_clause,[],[f117,f3332]) ).
fof(f3332,plain,
( spl0_380
<=> ! [X31,X34,X33,X32] :
( X31 = X33
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f117,axiom,
! [X31,X34,X32,X33] :
( X31 = X33
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3330,plain,
spl0_379,
inference(avatar_split_clause,[],[f96,f3328]) ).
fof(f3328,plain,
( spl0_379
<=> ! [X6,X5] :
( ~ c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f96,axiom,
! [X6,X5] :
( ~ c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3326,plain,
spl0_378,
inference(avatar_split_clause,[],[f95,f3324]) ).
fof(f95,axiom,
! [X6,X5] :
( c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3322,plain,
spl0_377,
inference(avatar_split_clause,[],[f92,f3320]) ).
fof(f92,axiom,
! [X6,X5] :
( ~ c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3318,plain,
spl0_376,
inference(avatar_split_clause,[],[f91,f3316]) ).
fof(f3316,plain,
( spl0_376
<=> ! [X6,X5] :
( c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f91,axiom,
! [X6,X5] :
( c_Divides_Oop_Advd(X5,X6,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3314,plain,
spl0_375,
inference(avatar_split_clause,[],[f68,f3312]) ).
fof(f3312,plain,
( spl0_375
<=> ! [X15,X18,X17,X12,X19] : c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_ONumb(X19,X12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f68,axiom,
! [X18,X19,X17,X15,X12] : c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_ONumb(X19,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f3310,plain,
spl0_374,
inference(avatar_split_clause,[],[f61,f3308]) ).
fof(f3308,plain,
( spl0_374
<=> ! [X18,X14,X12,X17,X15] : c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OLeaf(X14,X12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f61,axiom,
! [X18,X14,X17,X15,X12] : c_Datatype__Universe_OScons(X17,X18,X12,X15) != c_Datatype__Universe_OLeaf(X14,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f3306,plain,
spl0_373,
inference(avatar_split_clause,[],[f55,f3304]) ).
fof(f3304,plain,
( spl0_373
<=> ! [X18,X17,X14,X12,X15] : c_Datatype__Universe_OAtom(X14,X12,X15) != c_Datatype__Universe_OScons(X17,X18,X12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f55,axiom,
! [X18,X14,X17,X15,X12] : c_Datatype__Universe_OAtom(X14,X12,X15) != c_Datatype__Universe_OScons(X17,X18,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3302,plain,
spl0_372,
inference(avatar_split_clause,[],[f53,f3300]) ).
fof(f3300,plain,
( spl0_372
<=> ! [X13,X12,X14] :
( X13 = X14
| c_Datatype_Ooption_OSome(X13,X12) != c_Datatype_Ooption_OSome(X14,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f53,axiom,
! [X14,X12,X13] :
( X13 = X14
| c_Datatype_Ooption_OSome(X13,X12) != c_Datatype_Ooption_OSome(X14,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3298,plain,
spl0_371,
inference(avatar_split_clause,[],[f50,f3296]) ).
fof(f3296,plain,
( spl0_371
<=> ! [X12,X3] :
( c_Datatype_Ooption_ONone = X3
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X3,X12),X12) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f50,axiom,
! [X3,X12] :
( c_Datatype_Ooption_ONone = X3
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X3,X12),X12) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3294,plain,
spl0_370,
inference(avatar_split_clause,[],[f49,f3292]) ).
fof(f3292,plain,
( spl0_370
<=> ! [X12,X3] :
( c_Datatype_Ooption_ONone = X3
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X3,X12),X12) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f49,axiom,
! [X3,X12] :
( c_Datatype_Ooption_ONone = X3
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X3,X12),X12) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3290,plain,
spl0_369,
inference(avatar_split_clause,[],[f42,f3288]) ).
fof(f3288,plain,
( spl0_369
<=> ! [X9,X8,X7,X10] :
( X8 = X10
| c_Comb_Ocomb_Oop_A_D_D(X7,X8) != c_Comb_Ocomb_Oop_A_D_D(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f42,axiom,
! [X10,X8,X9,X7] :
( X8 = X10
| c_Comb_Ocomb_Oop_A_D_D(X7,X8) != c_Comb_Ocomb_Oop_A_D_D(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_1) ).
fof(f3286,plain,
spl0_368,
inference(avatar_split_clause,[],[f41,f3284]) ).
fof(f3284,plain,
( spl0_368
<=> ! [X10,X7,X9,X8] :
( X7 = X9
| c_Comb_Ocomb_Oop_A_D_D(X7,X8) != c_Comb_Ocomb_Oop_A_D_D(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f41,axiom,
! [X10,X8,X9,X7] :
( X7 = X9
| c_Comb_Ocomb_Oop_A_D_D(X7,X8) != c_Comb_Ocomb_Oop_A_D_D(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_0) ).
fof(f3282,plain,
spl0_367,
inference(avatar_split_clause,[],[f34,f3280]) ).
fof(f3280,plain,
( spl0_367
<=> ! [X2] : ~ c_in(c_Pair(c_Comb_Ocomb_OS,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f34,axiom,
! [X2] : ~ c_in(c_Pair(c_Comb_Ocomb_OS,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OS__contractE_0) ).
fof(f3278,plain,
spl0_366,
inference(avatar_split_clause,[],[f33,f3276]) ).
fof(f3276,plain,
( spl0_366
<=> ! [X2] : ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f33,axiom,
! [X2] : ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK__contractE_0) ).
fof(f3274,plain,
spl0_365,
inference(avatar_split_clause,[],[f30,f3272]) ).
fof(f3272,plain,
( spl0_365
<=> ! [X5] : ~ c_in(c_Pair(c_Comb_OI,X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f30,axiom,
! [X5] : ~ c_in(c_Pair(c_Comb_OI,X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OI__contract__E_0) ).
fof(f3270,plain,
spl0_364,
inference(avatar_split_clause,[],[f18,f3268]) ).
fof(f18,axiom,
! [X3] : c_in(c_Pair(X3,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
fof(f3247,plain,
spl0_363,
inference(avatar_split_clause,[],[f307,f3245]) ).
fof(f3245,plain,
( spl0_363
<=> ! [X2,X12] :
( ~ c_Wellfounded__Recursion_Owf(X2,X12)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X2,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f307,axiom,
! [X2,X12] :
( ~ c_Wellfounded__Recursion_Owf(X2,X12)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X2,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3243,plain,
spl0_362,
inference(avatar_split_clause,[],[f306,f3241]) ).
fof(f3241,plain,
( spl0_362
<=> ! [X2,X12] :
( ~ c_Wellfounded__Recursion_Owf(X2,X12)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X2,X12),tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f306,axiom,
! [X2,X12] :
( ~ c_Wellfounded__Recursion_Owf(X2,X12)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X2,X12),tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3239,plain,
spl0_361,
inference(avatar_split_clause,[],[f282,f3237]) ).
fof(f3237,plain,
( spl0_361
<=> ! [X22,X27] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X27)),tc_IntDef_Oint),c_IntDef_Oint(X22),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f282,axiom,
! [X27,X22] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X27)),tc_IntDef_Oint),c_IntDef_Oint(X22),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3235,plain,
spl0_360,
inference(avatar_split_clause,[],[f279,f3233]) ).
fof(f3233,plain,
( spl0_360
<=> ! [X22,X27] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),X27,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f279,axiom,
! [X27,X22] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),X27,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3231,plain,
spl0_359,
inference(avatar_split_clause,[],[f278,f3229]) ).
fof(f3229,plain,
( spl0_359
<=> ! [X22,X27] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),X22,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f278,axiom,
! [X27,X22] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X22,X27,tc_nat,tc_nat)),X22,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3227,plain,
spl0_358,
inference(avatar_split_clause,[],[f236,f3225]) ).
fof(f3225,plain,
( spl0_358
<=> ! [X2,X12] :
( ~ c_Wellfounded__Recursion_Oacyclic(X2,X12)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X12,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f236,axiom,
! [X2,X12] :
( ~ c_Wellfounded__Recursion_Oacyclic(X2,X12)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X12,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3223,plain,
spl0_357,
inference(avatar_split_clause,[],[f235,f3221]) ).
fof(f3221,plain,
( spl0_357
<=> ! [X2,X12] :
( c_Wellfounded__Recursion_Oacyclic(X2,X12)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X12,X12),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f235,axiom,
! [X2,X12] :
( c_Wellfounded__Recursion_Oacyclic(X2,X12)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X12,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3219,plain,
spl0_356,
inference(avatar_split_clause,[],[f232,f3217]) ).
fof(f3217,plain,
( spl0_356
<=> ! [X16,X12,X14,X15] : c_Sum__Type_OInl(X14,X12,X15) != c_Sum__Type_OInr(X16,X15,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f232,axiom,
! [X16,X14,X15,X12] : c_Sum__Type_OInl(X14,X12,X15) != c_Sum__Type_OInr(X16,X15,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f3215,plain,
spl0_355,
inference(avatar_split_clause,[],[f217,f3213]) ).
fof(f3213,plain,
( spl0_355
<=> ! [X12,X24,X23] :
( c_emptyset = X24
| c_emptyset != c_union(X23,X24,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f217,axiom,
! [X24,X12,X23] :
( c_emptyset = X24
| c_emptyset != c_union(X23,X24,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3209,plain,
spl0_354,
inference(avatar_split_clause,[],[f216,f3207]) ).
fof(f3207,plain,
( spl0_354
<=> ! [X24,X12,X23] :
( c_emptyset = X23
| c_emptyset != c_union(X23,X24,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f216,axiom,
! [X24,X12,X23] :
( c_emptyset = X23
| c_emptyset != c_union(X23,X24,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3205,plain,
spl0_353,
inference(avatar_split_clause,[],[f154,f3203]) ).
fof(f3203,plain,
( spl0_353
<=> ! [X22,X27] :
( c_0 = X27
| c_0 != c_plus(X22,X27,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f154,axiom,
! [X27,X22] :
( c_0 = X27
| c_0 != c_plus(X22,X27,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3201,plain,
spl0_352,
inference(avatar_split_clause,[],[f153,f3199]) ).
fof(f3199,plain,
( spl0_352
<=> ! [X22,X27] :
( c_0 = X22
| c_0 != c_plus(X22,X27,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f153,axiom,
! [X27,X22] :
( c_0 = X22
| c_0 != c_plus(X22,X27,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3197,plain,
spl0_351,
inference(avatar_split_clause,[],[f137,f3195]) ).
fof(f3195,plain,
( spl0_351
<=> ! [X29,X12,X28] :
( c_List_Olist_ONil = X29
| c_append(X28,X29,X12) != X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f137,axiom,
! [X28,X29,X12] :
( c_List_Olist_ONil = X29
| c_append(X28,X29,X12) != X28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3193,plain,
spl0_350,
inference(avatar_split_clause,[],[f135,f3191]) ).
fof(f3191,plain,
( spl0_350
<=> ! [X29,X12,X28] :
( c_List_Olist_ONil = X28
| c_append(X28,X29,X12) != X29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f135,axiom,
! [X28,X29,X12] :
( c_List_Olist_ONil = X28
| c_append(X28,X29,X12) != X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3189,plain,
spl0_349,
inference(avatar_split_clause,[],[f119,f3187]) ).
fof(f3187,plain,
( spl0_349
<=> ! [X12,X28] :
( c_List_Olist_ONil = X28
| c_0 != c_Nat_Osize(X28,tc_List_Olist(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f119,axiom,
! [X28,X12] :
( c_List_Olist_ONil = X28
| c_0 != c_Nat_Osize(X28,tc_List_Olist(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3185,plain,
spl0_348,
inference(avatar_split_clause,[],[f99,f3183]) ).
fof(f3183,plain,
( spl0_348
<=> ! [X29,X12,X28] :
( c_List_Olist_ONil = X29
| c_List_Olist_ONil != c_append(X28,X29,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f99,axiom,
! [X28,X29,X12] :
( c_List_Olist_ONil = X29
| c_List_Olist_ONil != c_append(X28,X29,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_1) ).
fof(f3181,plain,
spl0_347,
inference(avatar_split_clause,[],[f98,f3179]) ).
fof(f3179,plain,
( spl0_347
<=> ! [X29,X12,X28] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X28,X29,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f98,axiom,
! [X28,X29,X12] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X28,X29,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f3177,plain,
spl0_346,
inference(avatar_split_clause,[],[f71,f3175]) ).
fof(f3175,plain,
( spl0_346
<=> ! [X2,X12,X23] :
( c_emptyset = X23
| c_emptyset != c_Equiv__Relations_Oquotient(X23,X2,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f71,axiom,
! [X2,X12,X23] :
( c_emptyset = X23
| c_emptyset != c_Equiv__Relations_Oquotient(X23,X2,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3173,plain,
spl0_345,
inference(avatar_split_clause,[],[f62,f3171]) ).
fof(f3171,plain,
( spl0_345
<=> ! [X14,X12,X19,X15] : c_Datatype__Universe_OLeaf(X14,X12,X15) != c_Datatype__Universe_ONumb(X19,X12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f62,axiom,
! [X19,X14,X15,X12] : c_Datatype__Universe_OLeaf(X14,X12,X15) != c_Datatype__Universe_ONumb(X19,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3167,plain,
spl0_344,
inference(avatar_split_clause,[],[f59,f3165]) ).
fof(f3165,plain,
( spl0_344
<=> ! [X18,X17,X12,X15] : c_Datatype__Universe_OIn0(X17,X12,X15) != c_Datatype__Universe_OIn1(X18,X12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f59,axiom,
! [X18,X17,X15,X12] : c_Datatype__Universe_OIn0(X17,X12,X15) != c_Datatype__Universe_OIn1(X18,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3163,plain,
( spl0_343
| ~ spl0_306
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f3063,f3030,f2990,f3161]) ).
fof(f3161,plain,
( spl0_343
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f3063,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_316 ),
inference(resolution,[],[f3031,f2991]) ).
fof(f3152,plain,
spl0_342,
inference(avatar_split_clause,[],[f496,f3150]) ).
fof(f3150,plain,
( spl0_342
<=> ! [X57,X56] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_sum(X57,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f496,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_sum(X57,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3148,plain,
( spl0_341
| ~ spl0_306
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f3062,f3026,f2990,f3146]) ).
fof(f3146,plain,
( spl0_341
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f3062,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_315 ),
inference(resolution,[],[f3027,f2991]) ).
fof(f3144,plain,
spl0_340,
inference(avatar_split_clause,[],[f490,f3142]) ).
fof(f3142,plain,
( spl0_340
<=> ! [X57,X56] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_prod(X57,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f490,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_prod(X57,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3140,plain,
spl0_339,
inference(avatar_split_clause,[],[f440,f3138]) ).
fof(f3138,plain,
( spl0_339
<=> ! [X57,X56] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_fun(X57,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f440,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_fun(X57,X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3136,plain,
spl0_338,
inference(avatar_split_clause,[],[f338,f3134]) ).
fof(f3134,plain,
( spl0_338
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f338,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3132,plain,
spl0_337,
inference(avatar_split_clause,[],[f337,f3130]) ).
fof(f3130,plain,
( spl0_337
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f337,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3128,plain,
spl0_336,
inference(avatar_split_clause,[],[f336,f3126]) ).
fof(f3126,plain,
( spl0_336
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f336,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3124,plain,
spl0_335,
inference(avatar_split_clause,[],[f335,f3122]) ).
fof(f3122,plain,
( spl0_335
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f335,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3120,plain,
spl0_334,
inference(avatar_split_clause,[],[f333,f3118]) ).
fof(f3118,plain,
( spl0_334
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f333,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3116,plain,
spl0_333,
inference(avatar_split_clause,[],[f332,f3114]) ).
fof(f3114,plain,
( spl0_333
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f332,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3112,plain,
spl0_332,
inference(avatar_split_clause,[],[f331,f3110]) ).
fof(f3110,plain,
( spl0_332
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f331,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3108,plain,
spl0_331,
inference(avatar_split_clause,[],[f330,f3106]) ).
fof(f3106,plain,
( spl0_331
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f330,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3104,plain,
( spl0_330
| ~ spl0_305
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f3061,f3022,f2986,f3102]) ).
fof(f3102,plain,
( spl0_330
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f2986,plain,
( spl0_305
<=> ! [X22] :
( c_0 = X22
| ~ c_Divides_Oop_Advd(c_0,X22,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3022,plain,
( spl0_314
<=> ! [X22,X19] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3061,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_305
| ~ spl0_314 ),
inference(resolution,[],[f3023,f2987]) ).
fof(f2987,plain,
( ! [X22] :
( ~ c_Divides_Oop_Advd(c_0,X22,tc_nat)
| c_0 = X22 )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f3023,plain,
( ! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_nat),tc_nat)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f3100,plain,
spl0_329,
inference(avatar_split_clause,[],[f281,f3098]) ).
fof(f3098,plain,
( spl0_329
<=> ! [X22,X27] : c_lessequals(c_uminus(c_IntDef_Oint(X27),tc_IntDef_Oint),c_IntDef_Oint(X22),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f281,axiom,
! [X27,X22] : c_lessequals(c_uminus(c_IntDef_Oint(X27),tc_IntDef_Oint),c_IntDef_Oint(X22),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3096,plain,
spl0_328,
inference(avatar_split_clause,[],[f158,f3094]) ).
fof(f3094,plain,
( spl0_328
<=> ! [X27] :
( c_0 = X27
| ~ c_less(X27,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f158,axiom,
! [X27] :
( c_0 = X27
| ~ c_less(X27,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3092,plain,
spl0_327,
inference(avatar_split_clause,[],[f143,f3090]) ).
fof(f3090,plain,
( spl0_327
<=> ! [X22,X27] :
( X22 = X27
| c_Suc(X22) != c_Suc(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f143,axiom,
! [X27,X22] :
( X22 = X27
| c_Suc(X22) != c_Suc(X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3088,plain,
spl0_326,
inference(avatar_split_clause,[],[f141,f3086]) ).
fof(f3086,plain,
( spl0_326
<=> ! [X12,X28] :
( c_List_Olist_ONil = X28
| c_emptyset != c_List_Oset(X28,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f141,axiom,
! [X28,X12] :
( c_List_Olist_ONil = X28
| c_emptyset != c_List_Oset(X28,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty__iff1_0) ).
fof(f3084,plain,
spl0_325,
inference(avatar_split_clause,[],[f131,f3082]) ).
fof(f3082,plain,
( spl0_325
<=> ! [X12,X28] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_List_Orev(X28,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f131,axiom,
! [X28,X12] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_List_Orev(X28,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff1_0) ).
fof(f3080,plain,
spl0_324,
inference(avatar_split_clause,[],[f90,f3078]) ).
fof(f3078,plain,
( spl0_324
<=> ! [X22,X27] :
( X22 = X27
| c_IntDef_Oint(X22) != c_IntDef_Oint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f90,axiom,
! [X27,X22] :
( X22 = X27
| c_IntDef_Oint(X22) != c_IntDef_Oint(X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3076,plain,
spl0_323,
inference(avatar_split_clause,[],[f48,f3074]) ).
fof(f3074,plain,
( spl0_323
<=> ! [X12,X3] : c_in(X3,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X3,X12),X12),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f48,axiom,
! [X3,X12] : c_in(X3,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X3,X12),X12),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3072,plain,
spl0_322,
inference(avatar_split_clause,[],[f1404,f3070]) ).
fof(f1404,axiom,
! [X47] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),X47,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3068,plain,
( spl0_321
| ~ spl0_305
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3060,f3018,f2986,f3066]) ).
fof(f3066,plain,
( spl0_321
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f3018,plain,
( spl0_313
<=> ! [X22,X19] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3060,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_305
| ~ spl0_313 ),
inference(resolution,[],[f3019,f2987]) ).
fof(f3019,plain,
( ! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_nat),tc_nat)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3018]) ).
fof(f3048,plain,
spl0_320,
inference(avatar_split_clause,[],[f339,f3046]) ).
fof(f3046,plain,
( spl0_320
<=> ! [X19] : c_in(c_SetInterval_OlessThan(X19,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f339,axiom,
! [X19] : c_in(c_SetInterval_OlessThan(X19,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3044,plain,
spl0_319,
inference(avatar_split_clause,[],[f334,f3042]) ).
fof(f3042,plain,
( spl0_319
<=> ! [X19] : c_in(c_SetInterval_OatMost(X19,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f334,axiom,
! [X19] : c_in(c_SetInterval_OatMost(X19,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3040,plain,
spl0_318,
inference(avatar_split_clause,[],[f305,f3038]) ).
fof(f3038,plain,
( spl0_318
<=> ! [X12,X23] : c_in(c_List_Olist_ONil,c_List_Olists(X23,X12),tc_List_Olist(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f305,axiom,
! [X12,X23] : c_in(c_List_Olist_ONil,c_List_Olists(X23,X12),tc_List_Olist(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3036,plain,
spl0_317,
inference(avatar_split_clause,[],[f289,f3034]) ).
fof(f3034,plain,
( spl0_317
<=> ! [X12,X28] : c_in(c_List_Oset(X28,X12),c_Finite__Set_OFinites,tc_set(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f289,axiom,
! [X28,X12] : c_in(c_List_Oset(X28,X12),c_Finite__Set_OFinites,tc_set(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3032,plain,
spl0_316,
inference(avatar_split_clause,[],[f286,f3030]) ).
fof(f286,axiom,
! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3028,plain,
spl0_315,
inference(avatar_split_clause,[],[f285,f3026]) ).
fof(f285,axiom,
! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3024,plain,
spl0_314,
inference(avatar_split_clause,[],[f270,f3022]) ).
fof(f270,axiom,
! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X22,X19,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3020,plain,
spl0_313,
inference(avatar_split_clause,[],[f269,f3018]) ).
fof(f269,axiom,
! [X19,X22] : c_Divides_Oop_Advd(X19,c_times(X19,X22,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f3016,plain,
spl0_312,
inference(avatar_split_clause,[],[f222,f3014]) ).
fof(f3014,plain,
( spl0_312
<=> ! [X12,X24,X3] : c_in(X3,c_insert(X3,X24,X12),X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f222,axiom,
! [X3,X24,X12] : c_in(X3,c_insert(X3,X24,X12),X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3012,plain,
spl0_311,
inference(avatar_split_clause,[],[f165,f3010]) ).
fof(f3010,plain,
( spl0_311
<=> ! [X38,X37] : ~ c_less(c_plus(X38,X37,tc_nat),X37,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f165,axiom,
! [X38,X37] : ~ c_less(c_plus(X38,X37,tc_nat),X37,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f3008,plain,
spl0_310,
inference(avatar_split_clause,[],[f164,f3006]) ).
fof(f3006,plain,
( spl0_310
<=> ! [X38,X37] : ~ c_less(c_plus(X37,X38,tc_nat),X37,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f164,axiom,
! [X38,X37] : ~ c_less(c_plus(X37,X38,tc_nat),X37,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f3004,plain,
spl0_309,
inference(avatar_split_clause,[],[f162,f3002]) ).
fof(f3002,plain,
( spl0_309
<=> ! [X27] :
( c_0 = X27
| c_less(c_0,X27,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f162,axiom,
! [X27] :
( c_0 = X27
| c_less(c_0,X27,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f3000,plain,
spl0_308,
inference(avatar_split_clause,[],[f160,f2998]) ).
fof(f2998,plain,
( spl0_308
<=> ! [X27] :
( c_0 = X27
| ~ c_less(X27,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f160,axiom,
! [X27] :
( c_0 = X27
| ~ c_less(X27,c_1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f2996,plain,
spl0_307,
inference(avatar_split_clause,[],[f156,f2994]) ).
fof(f2994,plain,
( spl0_307
<=> ! [X37] :
( c_0 = X37
| ~ c_lessequals(X37,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f156,axiom,
! [X37] :
( c_0 = X37
| ~ c_lessequals(X37,c_0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f2992,plain,
spl0_306,
inference(avatar_split_clause,[],[f93,f2990]) ).
fof(f93,axiom,
! [X22] :
( c_0 = X22
| ~ c_Divides_Oop_Advd(c_0,X22,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f2988,plain,
spl0_305,
inference(avatar_split_clause,[],[f69,f2986]) ).
fof(f69,axiom,
! [X22] :
( c_0 = X22
| ~ c_Divides_Oop_Advd(c_0,X22,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f2984,plain,
spl0_304,
inference(avatar_split_clause,[],[f312,f2982]) ).
fof(f2982,plain,
( spl0_304
<=> ! [X12,X3] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X3,X3,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f312,axiom,
! [X3,X12] :
( ~ class_Orderings_Oorder(X12)
| c_lessequals(X3,X3,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2980,plain,
spl0_303,
inference(avatar_split_clause,[],[f218,f2978]) ).
fof(f2978,plain,
( spl0_303
<=> ! [X12] : c_emptyset = c_union(c_emptyset,c_emptyset,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f218,axiom,
! [X12] : c_emptyset = c_union(c_emptyset,c_emptyset,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f2976,plain,
spl0_302,
inference(avatar_split_clause,[],[f169,f2974]) ).
fof(f2974,plain,
( spl0_302
<=> ! [X12,X3] :
( ~ class_Orderings_Oorder(X12)
| ~ c_less(X3,X3,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f169,axiom,
! [X3,X12] :
( ~ class_Orderings_Oorder(X12)
| ~ c_less(X3,X3,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f2972,plain,
spl0_301,
inference(avatar_split_clause,[],[f155,f2969]) ).
fof(f2969,plain,
( spl0_301
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f155,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f2967,plain,
spl0_300,
inference(avatar_split_clause,[],[f138,f2965]) ).
fof(f2965,plain,
( spl0_300
<=> ! [X12,X28] : c_append(X28,c_List_Olist_ONil,X12) = X28 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f138,axiom,
! [X28,X12] : c_append(X28,c_List_Olist_ONil,X12) = X28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff2_0) ).
fof(f2963,plain,
spl0_299,
inference(avatar_split_clause,[],[f126,f2961]) ).
fof(f2961,plain,
( spl0_299
<=> ! [X13,X12,X35] : c_List_Olist_ONil != c_List_Olist_OCons(X13,X35,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f126,axiom,
! [X35,X12,X13] : c_List_Olist_ONil != c_List_Olist_OCons(X13,X35,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f2959,plain,
spl0_298,
inference(avatar_split_clause,[],[f120,f2957]) ).
fof(f2957,plain,
( spl0_298
<=> ! [X12] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f120,axiom,
! [X12] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2955,plain,
spl0_297,
inference(avatar_split_clause,[],[f114,f2953]) ).
fof(f2953,plain,
( spl0_297
<=> ! [X29,X12] : c_append(c_List_Olist_ONil,X29,X12) = X29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f114,axiom,
! [X29,X12] : c_append(c_List_Olist_ONil,X29,X12) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f2951,plain,
spl0_296,
inference(avatar_split_clause,[],[f72,f2949]) ).
fof(f2949,plain,
( spl0_296
<=> ! [X2,X12] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X2,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f72,axiom,
! [X2,X12] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X2,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).
fof(f2947,plain,
spl0_295,
inference(avatar_split_clause,[],[f494,f2945]) ).
fof(f2945,plain,
( spl0_295
<=> ! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_set(X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f494,axiom,
! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_set(X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f2943,plain,
spl0_294,
inference(avatar_split_clause,[],[f372,f2941]) ).
fof(f2941,plain,
( spl0_294
<=> ! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f372,axiom,
! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X56)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f2939,plain,
spl0_293,
inference(avatar_split_clause,[],[f356,f2937]) ).
fof(f356,axiom,
! [X12,X23] : c_lessequals(X23,X23,tc_set(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2935,plain,
spl0_292,
inference(avatar_split_clause,[],[f345,f2933]) ).
fof(f345,axiom,
! [X12,X23] : c_lessequals(c_emptyset,X23,tc_set(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2931,plain,
spl0_291,
inference(avatar_split_clause,[],[f311,f2929]) ).
fof(f2929,plain,
( spl0_291
<=> ! [X27] : c_less(c_0,c_Suc(X27),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f311,axiom,
! [X27] : c_less(c_0,c_Suc(X27),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2927,plain,
spl0_290,
inference(avatar_split_clause,[],[f309,f2925]) ).
fof(f2925,plain,
( spl0_290
<=> ! [X27] : c_less(X27,c_Suc(X27),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f309,axiom,
! [X27] : c_less(X27,c_Suc(X27),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2923,plain,
spl0_289,
inference(avatar_split_clause,[],[f272,f2921]) ).
fof(f2921,plain,
( spl0_289
<=> ! [X12] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f272,axiom,
! [X12] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2919,plain,
spl0_288,
inference(avatar_split_clause,[],[f268,f2917]) ).
fof(f2917,plain,
( spl0_288
<=> ! [X19] : c_Divides_Oop_Advd(c_Suc(c_0),X19,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f268,axiom,
! [X19] : c_Divides_Oop_Advd(c_Suc(c_0),X19,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2915,plain,
spl0_287,
inference(avatar_split_clause,[],[f224,f2913]) ).
fof(f2913,plain,
( spl0_287
<=> ! [X12,X23] : ~ c_less(X23,c_emptyset,tc_set(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f224,axiom,
! [X12,X23] : ~ c_less(X23,c_emptyset,tc_set(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2911,plain,
spl0_286,
inference(avatar_split_clause,[],[f142,f2909]) ).
fof(f2909,plain,
( spl0_286
<=> ! [X12] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f142,axiom,
! [X12] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty__iff2_0) ).
fof(f2907,plain,
spl0_285,
inference(avatar_split_clause,[],[f102,f2905]) ).
fof(f2905,plain,
( spl0_285
<=> ! [X12] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f102,axiom,
! [X12] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff2_0) ).
fof(f2903,plain,
~ spl0_284,
inference(avatar_split_clause,[],[f89,f2900]) ).
fof(f2900,plain,
( spl0_284
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f89,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f2898,plain,
spl0_283,
inference(avatar_split_clause,[],[f52,f2896]) ).
fof(f2896,plain,
( spl0_283
<=> ! [X13,X12] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X13,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f52,axiom,
! [X12,X13] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X13,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
fof(f2894,plain,
spl0_282,
inference(avatar_split_clause,[],[f40,f2892]) ).
fof(f2892,plain,
( spl0_282
<=> ! [X8,X7] : c_Comb_Ocomb_OS != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f40,axiom,
! [X8,X7] : c_Comb_Ocomb_OS != c_Comb_Ocomb_Oop_A_D_D(X7,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__6__iff1_0) ).
fof(f2890,plain,
spl0_281,
inference(avatar_split_clause,[],[f37,f2888]) ).
fof(f2888,plain,
( spl0_281
<=> ! [X8,X7] : c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f37,axiom,
! [X8,X7] : c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X7,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__3__iff1_0) ).
fof(f2579,plain,
spl0_280,
inference(avatar_split_clause,[],[f1403,f2577]) ).
fof(f2577,plain,
( spl0_280
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1403,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2575,plain,
spl0_279,
inference(avatar_split_clause,[],[f1402,f2573]) ).
fof(f2573,plain,
( spl0_279
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1402,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2571,plain,
spl0_278,
inference(avatar_split_clause,[],[f1401,f2569]) ).
fof(f2569,plain,
( spl0_278
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1401,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2567,plain,
spl0_277,
inference(avatar_split_clause,[],[f1400,f2565]) ).
fof(f2565,plain,
( spl0_277
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1400,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2563,plain,
spl0_276,
inference(avatar_split_clause,[],[f1399,f2561]) ).
fof(f2561,plain,
( spl0_276
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1399,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2559,plain,
spl0_275,
inference(avatar_split_clause,[],[f1398,f2557]) ).
fof(f2557,plain,
( spl0_275
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1398,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2555,plain,
spl0_274,
inference(avatar_split_clause,[],[f1311,f2553]) ).
fof(f2553,plain,
( spl0_274
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1311,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2551,plain,
spl0_273,
inference(avatar_split_clause,[],[f1303,f2549]) ).
fof(f2549,plain,
( spl0_273
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1303,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2547,plain,
spl0_272,
inference(avatar_split_clause,[],[f1302,f2545]) ).
fof(f2545,plain,
( spl0_272
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1302,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2543,plain,
spl0_271,
inference(avatar_split_clause,[],[f1292,f2541]) ).
fof(f2541,plain,
( spl0_271
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1292,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2539,plain,
spl0_270,
inference(avatar_split_clause,[],[f1291,f2537]) ).
fof(f2537,plain,
( spl0_270
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1291,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2535,plain,
spl0_269,
inference(avatar_split_clause,[],[f1290,f2533]) ).
fof(f2533,plain,
( spl0_269
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1290,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2531,plain,
spl0_268,
inference(avatar_split_clause,[],[f1288,f2529]) ).
fof(f2529,plain,
( spl0_268
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1288,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2527,plain,
spl0_267,
inference(avatar_split_clause,[],[f1287,f2525]) ).
fof(f2525,plain,
( spl0_267
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1287,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2523,plain,
spl0_266,
inference(avatar_split_clause,[],[f1286,f2521]) ).
fof(f2521,plain,
( spl0_266
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1286,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2519,plain,
spl0_265,
inference(avatar_split_clause,[],[f1285,f2517]) ).
fof(f2517,plain,
( spl0_265
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1285,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2515,plain,
spl0_264,
inference(avatar_split_clause,[],[f1284,f2513]) ).
fof(f2513,plain,
( spl0_264
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1284,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2511,plain,
spl0_263,
inference(avatar_split_clause,[],[f1268,f2509]) ).
fof(f2509,plain,
( spl0_263
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1268,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2507,plain,
spl0_262,
inference(avatar_split_clause,[],[f1267,f2505]) ).
fof(f2505,plain,
( spl0_262
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1267,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2503,plain,
spl0_261,
inference(avatar_split_clause,[],[f1266,f2501]) ).
fof(f2501,plain,
( spl0_261
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1266,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2499,plain,
spl0_260,
inference(avatar_split_clause,[],[f1265,f2497]) ).
fof(f2497,plain,
( spl0_260
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f1265,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2495,plain,
spl0_259,
inference(avatar_split_clause,[],[f1233,f2493]) ).
fof(f2493,plain,
( spl0_259
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1233,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2491,plain,
spl0_258,
inference(avatar_split_clause,[],[f1224,f2489]) ).
fof(f2489,plain,
( spl0_258
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f1224,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2487,plain,
spl0_257,
inference(avatar_split_clause,[],[f1223,f2485]) ).
fof(f2485,plain,
( spl0_257
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1223,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2483,plain,
spl0_256,
inference(avatar_split_clause,[],[f1220,f2481]) ).
fof(f2481,plain,
( spl0_256
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f1220,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2479,plain,
spl0_255,
inference(avatar_split_clause,[],[f1210,f2477]) ).
fof(f2477,plain,
( spl0_255
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f1210,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2475,plain,
spl0_254,
inference(avatar_split_clause,[],[f1209,f2473]) ).
fof(f2473,plain,
( spl0_254
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f1209,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2471,plain,
spl0_253,
inference(avatar_split_clause,[],[f1206,f2469]) ).
fof(f2469,plain,
( spl0_253
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1206,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2467,plain,
spl0_252,
inference(avatar_split_clause,[],[f1205,f2465]) ).
fof(f2465,plain,
( spl0_252
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f1205,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2463,plain,
spl0_251,
inference(avatar_split_clause,[],[f1201,f2461]) ).
fof(f2461,plain,
( spl0_251
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1201,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2459,plain,
spl0_250,
inference(avatar_split_clause,[],[f1199,f2457]) ).
fof(f2457,plain,
( spl0_250
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f1199,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2455,plain,
spl0_249,
inference(avatar_split_clause,[],[f1198,f2453]) ).
fof(f2453,plain,
( spl0_249
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1198,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2451,plain,
spl0_248,
inference(avatar_split_clause,[],[f1191,f2449]) ).
fof(f2449,plain,
( spl0_248
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1191,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2447,plain,
spl0_247,
inference(avatar_split_clause,[],[f1190,f2445]) ).
fof(f2445,plain,
( spl0_247
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f1190,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2443,plain,
spl0_246,
inference(avatar_split_clause,[],[f1185,f2441]) ).
fof(f2441,plain,
( spl0_246
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f1185,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2439,plain,
spl0_245,
inference(avatar_split_clause,[],[f1184,f2437]) ).
fof(f2437,plain,
( spl0_245
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f1184,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2435,plain,
spl0_244,
inference(avatar_split_clause,[],[f1183,f2433]) ).
fof(f2433,plain,
( spl0_244
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f1183,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2431,plain,
spl0_243,
inference(avatar_split_clause,[],[f1182,f2429]) ).
fof(f2429,plain,
( spl0_243
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f1182,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2427,plain,
spl0_242,
inference(avatar_split_clause,[],[f1181,f2425]) ).
fof(f2425,plain,
( spl0_242
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f1181,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2423,plain,
spl0_241,
inference(avatar_split_clause,[],[f1180,f2421]) ).
fof(f2421,plain,
( spl0_241
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f1180,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2419,plain,
spl0_240,
inference(avatar_split_clause,[],[f1179,f2417]) ).
fof(f2417,plain,
( spl0_240
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f1179,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2415,plain,
spl0_239,
inference(avatar_split_clause,[],[f1178,f2413]) ).
fof(f2413,plain,
( spl0_239
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f1178,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2411,plain,
spl0_238,
inference(avatar_split_clause,[],[f1177,f2409]) ).
fof(f2409,plain,
( spl0_238
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1177,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2407,plain,
spl0_237,
inference(avatar_split_clause,[],[f1168,f2405]) ).
fof(f2405,plain,
( spl0_237
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1168,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2403,plain,
spl0_236,
inference(avatar_split_clause,[],[f1167,f2401]) ).
fof(f2401,plain,
( spl0_236
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1167,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2399,plain,
spl0_235,
inference(avatar_split_clause,[],[f1166,f2397]) ).
fof(f2397,plain,
( spl0_235
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1166,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2395,plain,
spl0_234,
inference(avatar_split_clause,[],[f1165,f2393]) ).
fof(f2393,plain,
( spl0_234
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f1165,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2391,plain,
spl0_233,
inference(avatar_split_clause,[],[f1164,f2389]) ).
fof(f2389,plain,
( spl0_233
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f1164,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2387,plain,
spl0_232,
inference(avatar_split_clause,[],[f1163,f2385]) ).
fof(f2385,plain,
( spl0_232
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1163,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2383,plain,
spl0_231,
inference(avatar_split_clause,[],[f1162,f2381]) ).
fof(f2381,plain,
( spl0_231
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f1162,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2379,plain,
spl0_230,
inference(avatar_split_clause,[],[f1161,f2377]) ).
fof(f2377,plain,
( spl0_230
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1161,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2375,plain,
spl0_229,
inference(avatar_split_clause,[],[f1160,f2373]) ).
fof(f2373,plain,
( spl0_229
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1160,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2371,plain,
spl0_228,
inference(avatar_split_clause,[],[f1159,f2369]) ).
fof(f2369,plain,
( spl0_228
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1159,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2367,plain,
spl0_227,
inference(avatar_split_clause,[],[f1157,f2365]) ).
fof(f2365,plain,
( spl0_227
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1157,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2363,plain,
spl0_226,
inference(avatar_split_clause,[],[f1156,f2361]) ).
fof(f2361,plain,
( spl0_226
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1156,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2359,plain,
spl0_225,
inference(avatar_split_clause,[],[f1155,f2357]) ).
fof(f2357,plain,
( spl0_225
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1155,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2355,plain,
spl0_224,
inference(avatar_split_clause,[],[f1154,f2353]) ).
fof(f2353,plain,
( spl0_224
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f1154,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2351,plain,
spl0_223,
inference(avatar_split_clause,[],[f1153,f2349]) ).
fof(f2349,plain,
( spl0_223
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1153,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2347,plain,
spl0_222,
inference(avatar_split_clause,[],[f1152,f2345]) ).
fof(f2345,plain,
( spl0_222
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1152,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2343,plain,
spl0_221,
inference(avatar_split_clause,[],[f1127,f2341]) ).
fof(f2341,plain,
( spl0_221
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1127,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2339,plain,
spl0_220,
inference(avatar_split_clause,[],[f1126,f2337]) ).
fof(f2337,plain,
( spl0_220
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1126,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2335,plain,
spl0_219,
inference(avatar_split_clause,[],[f1125,f2333]) ).
fof(f2333,plain,
( spl0_219
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1125,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2331,plain,
spl0_218,
inference(avatar_split_clause,[],[f1124,f2329]) ).
fof(f2329,plain,
( spl0_218
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1124,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2327,plain,
spl0_217,
inference(avatar_split_clause,[],[f1123,f2325]) ).
fof(f2325,plain,
( spl0_217
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Olordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1123,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Olordered__ring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2323,plain,
spl0_216,
inference(avatar_split_clause,[],[f1122,f2321]) ).
fof(f2321,plain,
( spl0_216
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1122,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2319,plain,
spl0_215,
inference(avatar_split_clause,[],[f1120,f2317]) ).
fof(f2317,plain,
( spl0_215
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1120,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2315,plain,
spl0_214,
inference(avatar_split_clause,[],[f1119,f2313]) ).
fof(f2313,plain,
( spl0_214
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1119,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2311,plain,
spl0_213,
inference(avatar_split_clause,[],[f1118,f2309]) ).
fof(f2309,plain,
( spl0_213
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1118,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2307,plain,
spl0_212,
inference(avatar_split_clause,[],[f1117,f2305]) ).
fof(f2305,plain,
( spl0_212
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f1117,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2303,plain,
spl0_211,
inference(avatar_split_clause,[],[f1116,f2301]) ).
fof(f2301,plain,
( spl0_211
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1116,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2299,plain,
spl0_210,
inference(avatar_split_clause,[],[f1115,f2297]) ).
fof(f2297,plain,
( spl0_210
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1115,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2295,plain,
spl0_209,
inference(avatar_split_clause,[],[f1114,f2293]) ).
fof(f2293,plain,
( spl0_209
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1114,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2291,plain,
spl0_208,
inference(avatar_split_clause,[],[f1113,f2289]) ).
fof(f2289,plain,
( spl0_208
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f1113,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2287,plain,
spl0_207,
inference(avatar_split_clause,[],[f1112,f2285]) ).
fof(f2285,plain,
( spl0_207
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1112,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2283,plain,
spl0_206,
inference(avatar_split_clause,[],[f1111,f2281]) ).
fof(f2281,plain,
( spl0_206
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1111,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2279,plain,
spl0_205,
inference(avatar_split_clause,[],[f1109,f2277]) ).
fof(f2277,plain,
( spl0_205
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1109,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2275,plain,
spl0_204,
inference(avatar_split_clause,[],[f1108,f2273]) ).
fof(f2273,plain,
( spl0_204
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1108,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2271,plain,
spl0_203,
inference(avatar_split_clause,[],[f1107,f2269]) ).
fof(f2269,plain,
( spl0_203
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1107,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2267,plain,
spl0_202,
inference(avatar_split_clause,[],[f1106,f2265]) ).
fof(f2265,plain,
( spl0_202
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1106,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2263,plain,
spl0_201,
inference(avatar_split_clause,[],[f1105,f2261]) ).
fof(f2261,plain,
( spl0_201
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f1105,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2259,plain,
spl0_200,
inference(avatar_split_clause,[],[f1091,f2257]) ).
fof(f2257,plain,
( spl0_200
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semidom(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1091,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semidom(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2255,plain,
spl0_199,
inference(avatar_split_clause,[],[f1090,f2253]) ).
fof(f2253,plain,
( spl0_199
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1090,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2251,plain,
spl0_198,
inference(avatar_split_clause,[],[f1089,f2249]) ).
fof(f2249,plain,
( spl0_198
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f1089,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2247,plain,
spl0_197,
inference(avatar_split_clause,[],[f1088,f2245]) ).
fof(f2245,plain,
( spl0_197
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f1088,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2243,plain,
spl0_196,
inference(avatar_split_clause,[],[f1087,f2241]) ).
fof(f2241,plain,
( spl0_196
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1087,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2239,plain,
spl0_195,
inference(avatar_split_clause,[],[f1086,f2237]) ).
fof(f2237,plain,
( spl0_195
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1086,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2235,plain,
spl0_194,
inference(avatar_split_clause,[],[f1084,f2233]) ).
fof(f2233,plain,
( spl0_194
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1084,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2231,plain,
spl0_193,
inference(avatar_split_clause,[],[f1083,f2229]) ).
fof(f2229,plain,
( spl0_193
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Olordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1083,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Olordered__ring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2227,plain,
spl0_192,
inference(avatar_split_clause,[],[f1082,f2225]) ).
fof(f2225,plain,
( spl0_192
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__ring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1082,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__ring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2223,plain,
spl0_191,
inference(avatar_split_clause,[],[f1081,f2221]) ).
fof(f2221,plain,
( spl0_191
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1081,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2219,plain,
spl0_190,
inference(avatar_split_clause,[],[f1080,f2217]) ).
fof(f2217,plain,
( spl0_190
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1080,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2215,plain,
spl0_189,
inference(avatar_split_clause,[],[f1079,f2213]) ).
fof(f2213,plain,
( spl0_189
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1079,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2211,plain,
spl0_188,
inference(avatar_split_clause,[],[f1078,f2209]) ).
fof(f2209,plain,
( spl0_188
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1078,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2207,plain,
spl0_187,
inference(avatar_split_clause,[],[f1077,f2205]) ).
fof(f2205,plain,
( spl0_187
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1077,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2203,plain,
spl0_186,
inference(avatar_split_clause,[],[f1076,f2201]) ).
fof(f2201,plain,
( spl0_186
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1076,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2199,plain,
spl0_185,
inference(avatar_split_clause,[],[f1075,f2197]) ).
fof(f2197,plain,
( spl0_185
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1075,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2195,plain,
spl0_184,
inference(avatar_split_clause,[],[f1073,f2193]) ).
fof(f2193,plain,
( spl0_184
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1073,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2191,plain,
spl0_183,
inference(avatar_split_clause,[],[f1072,f2189]) ).
fof(f2189,plain,
( spl0_183
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1072,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2187,plain,
spl0_182,
inference(avatar_split_clause,[],[f1071,f2185]) ).
fof(f2185,plain,
( spl0_182
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1071,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2183,plain,
spl0_181,
inference(avatar_split_clause,[],[f1070,f2181]) ).
fof(f2181,plain,
( spl0_181
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1070,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2179,plain,
spl0_180,
inference(avatar_split_clause,[],[f1069,f2177]) ).
fof(f2177,plain,
( spl0_180
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1069,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2175,plain,
spl0_179,
inference(avatar_split_clause,[],[f1068,f2173]) ).
fof(f2173,plain,
( spl0_179
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1068,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2171,plain,
spl0_178,
inference(avatar_split_clause,[],[f1067,f2169]) ).
fof(f2169,plain,
( spl0_178
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1067,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2167,plain,
spl0_177,
inference(avatar_split_clause,[],[f1066,f2165]) ).
fof(f2165,plain,
( spl0_177
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1066,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2163,plain,
spl0_176,
inference(avatar_split_clause,[],[f1065,f2161]) ).
fof(f2161,plain,
( spl0_176
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1065,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2159,plain,
spl0_175,
inference(avatar_split_clause,[],[f1064,f2157]) ).
fof(f2157,plain,
( spl0_175
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1064,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2155,plain,
spl0_174,
inference(avatar_split_clause,[],[f971,f2153]) ).
fof(f2153,plain,
( spl0_174
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f971,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2151,plain,
spl0_173,
inference(avatar_split_clause,[],[f970,f2149]) ).
fof(f2149,plain,
( spl0_173
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f970,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2147,plain,
spl0_172,
inference(avatar_split_clause,[],[f969,f2145]) ).
fof(f2145,plain,
( spl0_172
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f969,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2143,plain,
spl0_171,
inference(avatar_split_clause,[],[f967,f2141]) ).
fof(f2141,plain,
( spl0_171
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f967,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2139,plain,
spl0_170,
inference(avatar_split_clause,[],[f966,f2137]) ).
fof(f2137,plain,
( spl0_170
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f966,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2135,plain,
spl0_169,
inference(avatar_split_clause,[],[f963,f2133]) ).
fof(f2133,plain,
( spl0_169
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f963,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2131,plain,
spl0_168,
inference(avatar_split_clause,[],[f962,f2129]) ).
fof(f2129,plain,
( spl0_168
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f962,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2127,plain,
spl0_167,
inference(avatar_split_clause,[],[f960,f2125]) ).
fof(f2125,plain,
( spl0_167
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f960,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2123,plain,
spl0_166,
inference(avatar_split_clause,[],[f959,f2121]) ).
fof(f2121,plain,
( spl0_166
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f959,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2119,plain,
spl0_165,
inference(avatar_split_clause,[],[f958,f2117]) ).
fof(f2117,plain,
( spl0_165
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f958,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2115,plain,
spl0_164,
inference(avatar_split_clause,[],[f957,f2113]) ).
fof(f2113,plain,
( spl0_164
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f957,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2111,plain,
spl0_163,
inference(avatar_split_clause,[],[f956,f2109]) ).
fof(f2109,plain,
( spl0_163
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f956,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2107,plain,
spl0_162,
inference(avatar_split_clause,[],[f955,f2105]) ).
fof(f2105,plain,
( spl0_162
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f955,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2103,plain,
spl0_161,
inference(avatar_split_clause,[],[f954,f2101]) ).
fof(f2101,plain,
( spl0_161
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f954,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2099,plain,
spl0_160,
inference(avatar_split_clause,[],[f953,f2097]) ).
fof(f2097,plain,
( spl0_160
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f953,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2095,plain,
spl0_159,
inference(avatar_split_clause,[],[f948,f2093]) ).
fof(f2093,plain,
( spl0_159
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f948,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2091,plain,
spl0_158,
inference(avatar_split_clause,[],[f947,f2089]) ).
fof(f2089,plain,
( spl0_158
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f947,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2087,plain,
spl0_157,
inference(avatar_split_clause,[],[f946,f2085]) ).
fof(f2085,plain,
( spl0_157
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f946,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2083,plain,
spl0_156,
inference(avatar_split_clause,[],[f945,f2081]) ).
fof(f2081,plain,
( spl0_156
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f945,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2079,plain,
spl0_155,
inference(avatar_split_clause,[],[f944,f2077]) ).
fof(f2077,plain,
( spl0_155
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f944,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2075,plain,
spl0_154,
inference(avatar_split_clause,[],[f942,f2073]) ).
fof(f2073,plain,
( spl0_154
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f942,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2071,plain,
spl0_153,
inference(avatar_split_clause,[],[f940,f2069]) ).
fof(f2069,plain,
( spl0_153
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f940,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2067,plain,
spl0_152,
inference(avatar_split_clause,[],[f939,f2065]) ).
fof(f2065,plain,
( spl0_152
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f939,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2063,plain,
spl0_151,
inference(avatar_split_clause,[],[f938,f2061]) ).
fof(f2061,plain,
( spl0_151
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f938,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2059,plain,
spl0_150,
inference(avatar_split_clause,[],[f937,f2057]) ).
fof(f2057,plain,
( spl0_150
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f937,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2055,plain,
spl0_149,
inference(avatar_split_clause,[],[f936,f2053]) ).
fof(f2053,plain,
( spl0_149
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f936,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2051,plain,
spl0_148,
inference(avatar_split_clause,[],[f935,f2049]) ).
fof(f2049,plain,
( spl0_148
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f935,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2047,plain,
spl0_147,
inference(avatar_split_clause,[],[f930,f2045]) ).
fof(f2045,plain,
( spl0_147
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f930,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2043,plain,
spl0_146,
inference(avatar_split_clause,[],[f921,f2041]) ).
fof(f2041,plain,
( spl0_146
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f921,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2039,plain,
spl0_145,
inference(avatar_split_clause,[],[f920,f2037]) ).
fof(f2037,plain,
( spl0_145
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f920,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2035,plain,
spl0_144,
inference(avatar_split_clause,[],[f918,f2033]) ).
fof(f2033,plain,
( spl0_144
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f918,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f2031,plain,
spl0_143,
inference(avatar_split_clause,[],[f727,f2029]) ).
fof(f2029,plain,
( spl0_143
<=> ! [X58] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f727,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f2027,plain,
spl0_142,
inference(avatar_split_clause,[],[f698,f2025]) ).
fof(f2025,plain,
( spl0_142
<=> ! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f698,axiom,
! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2023,plain,
spl0_141,
inference(avatar_split_clause,[],[f697,f2021]) ).
fof(f2021,plain,
( spl0_141
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f697,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2019,plain,
spl0_140,
inference(avatar_split_clause,[],[f696,f2017]) ).
fof(f2017,plain,
( spl0_140
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f696,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f2015,plain,
spl0_139,
inference(avatar_split_clause,[],[f695,f2013]) ).
fof(f2013,plain,
( spl0_139
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f695,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f2011,plain,
spl0_138,
inference(avatar_split_clause,[],[f694,f2009]) ).
fof(f2009,plain,
( spl0_138
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f694,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f2007,plain,
spl0_137,
inference(avatar_split_clause,[],[f693,f2005]) ).
fof(f2005,plain,
( spl0_137
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f693,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f2003,plain,
spl0_136,
inference(avatar_split_clause,[],[f685,f2001]) ).
fof(f2001,plain,
( spl0_136
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f685,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f1999,plain,
spl0_135,
inference(avatar_split_clause,[],[f684,f1997]) ).
fof(f1997,plain,
( spl0_135
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f684,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f1995,plain,
spl0_134,
inference(avatar_split_clause,[],[f683,f1993]) ).
fof(f1993,plain,
( spl0_134
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f683,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f1991,plain,
spl0_133,
inference(avatar_split_clause,[],[f677,f1989]) ).
fof(f1989,plain,
( spl0_133
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f677,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f1987,plain,
spl0_132,
inference(avatar_split_clause,[],[f676,f1985]) ).
fof(f1985,plain,
( spl0_132
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f676,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f1983,plain,
spl0_131,
inference(avatar_split_clause,[],[f675,f1981]) ).
fof(f1981,plain,
( spl0_131
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f675,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f1979,plain,
spl0_130,
inference(avatar_split_clause,[],[f674,f1977]) ).
fof(f1977,plain,
( spl0_130
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f674,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f1975,plain,
spl0_129,
inference(avatar_split_clause,[],[f670,f1973]) ).
fof(f1973,plain,
( spl0_129
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f670,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f1971,plain,
spl0_128,
inference(avatar_split_clause,[],[f669,f1969]) ).
fof(f1969,plain,
( spl0_128
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f669,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f1967,plain,
spl0_127,
inference(avatar_split_clause,[],[f668,f1965]) ).
fof(f1965,plain,
( spl0_127
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f668,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f1963,plain,
spl0_126,
inference(avatar_split_clause,[],[f660,f1961]) ).
fof(f1961,plain,
( spl0_126
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f660,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f1959,plain,
spl0_125,
inference(avatar_split_clause,[],[f659,f1957]) ).
fof(f1957,plain,
( spl0_125
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f659,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f1955,plain,
spl0_124,
inference(avatar_split_clause,[],[f658,f1953]) ).
fof(f1953,plain,
( spl0_124
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f658,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f1951,plain,
spl0_123,
inference(avatar_split_clause,[],[f657,f1949]) ).
fof(f1949,plain,
( spl0_123
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f657,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f1947,plain,
spl0_122,
inference(avatar_split_clause,[],[f654,f1945]) ).
fof(f1945,plain,
( spl0_122
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f654,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f1943,plain,
spl0_121,
inference(avatar_split_clause,[],[f648,f1941]) ).
fof(f1941,plain,
( spl0_121
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f648,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f1939,plain,
spl0_120,
inference(avatar_split_clause,[],[f647,f1937]) ).
fof(f1937,plain,
( spl0_120
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f647,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f1935,plain,
spl0_119,
inference(avatar_split_clause,[],[f646,f1933]) ).
fof(f1933,plain,
( spl0_119
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f646,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f1931,plain,
spl0_118,
inference(avatar_split_clause,[],[f645,f1929]) ).
fof(f1929,plain,
( spl0_118
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f645,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f1927,plain,
spl0_117,
inference(avatar_split_clause,[],[f644,f1925]) ).
fof(f1925,plain,
( spl0_117
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f644,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f1923,plain,
spl0_116,
inference(avatar_split_clause,[],[f643,f1921]) ).
fof(f1921,plain,
( spl0_116
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f643,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f1919,plain,
spl0_115,
inference(avatar_split_clause,[],[f642,f1917]) ).
fof(f1917,plain,
( spl0_115
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f642,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f1915,plain,
spl0_114,
inference(avatar_split_clause,[],[f641,f1913]) ).
fof(f1913,plain,
( spl0_114
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f641,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f1911,plain,
spl0_113,
inference(avatar_split_clause,[],[f637,f1909]) ).
fof(f1909,plain,
( spl0_113
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f637,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1907,plain,
spl0_112,
inference(avatar_split_clause,[],[f636,f1905]) ).
fof(f1905,plain,
( spl0_112
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f636,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1903,plain,
spl0_111,
inference(avatar_split_clause,[],[f635,f1901]) ).
fof(f1901,plain,
( spl0_111
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f635,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1899,plain,
spl0_110,
inference(avatar_split_clause,[],[f634,f1897]) ).
fof(f1897,plain,
( spl0_110
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f634,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1895,plain,
spl0_109,
inference(avatar_split_clause,[],[f633,f1893]) ).
fof(f1893,plain,
( spl0_109
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f633,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1891,plain,
spl0_108,
inference(avatar_split_clause,[],[f629,f1889]) ).
fof(f1889,plain,
( spl0_108
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f629,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1887,plain,
spl0_107,
inference(avatar_split_clause,[],[f628,f1885]) ).
fof(f1885,plain,
( spl0_107
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f628,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1883,plain,
spl0_106,
inference(avatar_split_clause,[],[f627,f1881]) ).
fof(f1881,plain,
( spl0_106
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f627,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1879,plain,
spl0_105,
inference(avatar_split_clause,[],[f626,f1877]) ).
fof(f1877,plain,
( spl0_105
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f626,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1875,plain,
spl0_104,
inference(avatar_split_clause,[],[f619,f1873]) ).
fof(f1873,plain,
( spl0_104
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f619,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1871,plain,
spl0_103,
inference(avatar_split_clause,[],[f618,f1869]) ).
fof(f1869,plain,
( spl0_103
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f618,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1867,plain,
spl0_102,
inference(avatar_split_clause,[],[f617,f1865]) ).
fof(f1865,plain,
( spl0_102
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f617,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1863,plain,
spl0_101,
inference(avatar_split_clause,[],[f616,f1861]) ).
fof(f1861,plain,
( spl0_101
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f616,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1859,plain,
spl0_100,
inference(avatar_split_clause,[],[f615,f1857]) ).
fof(f1857,plain,
( spl0_100
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f615,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1855,plain,
spl0_99,
inference(avatar_split_clause,[],[f614,f1853]) ).
fof(f1853,plain,
( spl0_99
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f614,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1851,plain,
spl0_98,
inference(avatar_split_clause,[],[f610,f1849]) ).
fof(f1849,plain,
( spl0_98
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f610,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1847,plain,
spl0_97,
inference(avatar_split_clause,[],[f609,f1845]) ).
fof(f1845,plain,
( spl0_97
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f609,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1843,plain,
spl0_96,
inference(avatar_split_clause,[],[f608,f1841]) ).
fof(f1841,plain,
( spl0_96
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f608,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1839,plain,
spl0_95,
inference(avatar_split_clause,[],[f607,f1837]) ).
fof(f1837,plain,
( spl0_95
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f607,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1835,plain,
spl0_94,
inference(avatar_split_clause,[],[f600,f1833]) ).
fof(f1833,plain,
( spl0_94
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f600,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1831,plain,
spl0_93,
inference(avatar_split_clause,[],[f598,f1829]) ).
fof(f1829,plain,
( spl0_93
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f598,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1827,plain,
spl0_92,
inference(avatar_split_clause,[],[f597,f1825]) ).
fof(f1825,plain,
( spl0_92
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f597,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1823,plain,
spl0_91,
inference(avatar_split_clause,[],[f596,f1821]) ).
fof(f1821,plain,
( spl0_91
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f596,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1819,plain,
spl0_90,
inference(avatar_split_clause,[],[f591,f1817]) ).
fof(f1817,plain,
( spl0_90
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f591,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1815,plain,
spl0_89,
inference(avatar_split_clause,[],[f590,f1813]) ).
fof(f1813,plain,
( spl0_89
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f590,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1811,plain,
spl0_88,
inference(avatar_split_clause,[],[f589,f1809]) ).
fof(f1809,plain,
( spl0_88
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f589,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1807,plain,
spl0_87,
inference(avatar_split_clause,[],[f588,f1805]) ).
fof(f1805,plain,
( spl0_87
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f588,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1803,plain,
spl0_86,
inference(avatar_split_clause,[],[f587,f1801]) ).
fof(f1801,plain,
( spl0_86
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f587,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1799,plain,
spl0_85,
inference(avatar_split_clause,[],[f582,f1797]) ).
fof(f1797,plain,
( spl0_85
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f582,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1795,plain,
spl0_84,
inference(avatar_split_clause,[],[f581,f1793]) ).
fof(f1793,plain,
( spl0_84
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f581,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1791,plain,
spl0_83,
inference(avatar_split_clause,[],[f580,f1789]) ).
fof(f1789,plain,
( spl0_83
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f580,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1787,plain,
spl0_82,
inference(avatar_split_clause,[],[f579,f1785]) ).
fof(f1785,plain,
( spl0_82
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f579,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1783,plain,
spl0_81,
inference(avatar_split_clause,[],[f578,f1781]) ).
fof(f1781,plain,
( spl0_81
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f578,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1779,plain,
spl0_80,
inference(avatar_split_clause,[],[f577,f1777]) ).
fof(f1777,plain,
( spl0_80
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f577,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1775,plain,
spl0_79,
inference(avatar_split_clause,[],[f576,f1773]) ).
fof(f1773,plain,
( spl0_79
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f576,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1771,plain,
spl0_78,
inference(avatar_split_clause,[],[f572,f1769]) ).
fof(f1769,plain,
( spl0_78
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f572,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1767,plain,
spl0_77,
inference(avatar_split_clause,[],[f571,f1765]) ).
fof(f1765,plain,
( spl0_77
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f571,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1763,plain,
spl0_76,
inference(avatar_split_clause,[],[f570,f1761]) ).
fof(f1761,plain,
( spl0_76
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f570,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1759,plain,
spl0_75,
inference(avatar_split_clause,[],[f563,f1757]) ).
fof(f1757,plain,
( spl0_75
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f563,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1755,plain,
spl0_74,
inference(avatar_split_clause,[],[f504,f1753]) ).
fof(f1753,plain,
( spl0_74
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f504,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1751,plain,
spl0_73,
inference(avatar_split_clause,[],[f503,f1749]) ).
fof(f1749,plain,
( spl0_73
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f503,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1747,plain,
spl0_72,
inference(avatar_split_clause,[],[f502,f1745]) ).
fof(f1745,plain,
( spl0_72
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f502,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1743,plain,
spl0_71,
inference(avatar_split_clause,[],[f501,f1741]) ).
fof(f1741,plain,
( spl0_71
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f501,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1739,plain,
spl0_70,
inference(avatar_split_clause,[],[f500,f1737]) ).
fof(f1737,plain,
( spl0_70
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f500,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1735,plain,
spl0_69,
inference(avatar_split_clause,[],[f499,f1733]) ).
fof(f1733,plain,
( spl0_69
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f499,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1731,plain,
spl0_68,
inference(avatar_split_clause,[],[f498,f1729]) ).
fof(f1729,plain,
( spl0_68
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f498,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1727,plain,
spl0_67,
inference(avatar_split_clause,[],[f497,f1725]) ).
fof(f1725,plain,
( spl0_67
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f497,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1723,plain,
spl0_66,
inference(avatar_split_clause,[],[f342,f1721]) ).
fof(f342,axiom,
! [X3,X12] : c_in(X3,c_UNIV,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1719,plain,
spl0_65,
inference(avatar_split_clause,[],[f310,f1717]) ).
fof(f1717,plain,
( spl0_65
<=> ! [X27] : ~ c_less(X27,X27,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f310,axiom,
! [X27] : ~ c_less(X27,X27,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1715,plain,
spl0_64,
inference(avatar_split_clause,[],[f308,f1713]) ).
fof(f1713,plain,
( spl0_64
<=> ! [X27] : c_lessequals(c_0,X27,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f308,axiom,
! [X27] : c_lessequals(c_0,X27,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1711,plain,
spl0_63,
inference(avatar_split_clause,[],[f284,f1709]) ).
fof(f1709,plain,
( spl0_63
<=> ! [X22] : c_Divides_Oop_Advd(c_1,X22,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f284,axiom,
! [X22] : c_Divides_Oop_Advd(c_1,X22,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1707,plain,
spl0_62,
inference(avatar_split_clause,[],[f283,f1705]) ).
fof(f283,axiom,
! [X22] : c_Divides_Oop_Advd(X22,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1703,plain,
spl0_61,
inference(avatar_split_clause,[],[f267,f1701]) ).
fof(f1701,plain,
( spl0_61
<=> ! [X22] : c_Divides_Oop_Advd(X22,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f267,axiom,
! [X22] : c_Divides_Oop_Advd(X22,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1699,plain,
spl0_60,
inference(avatar_split_clause,[],[f220,f1697]) ).
fof(f220,axiom,
! [X14,X12] : ~ c_in(X14,c_emptyset,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f1695,plain,
spl0_59,
inference(avatar_split_clause,[],[f166,f1693]) ).
fof(f1693,plain,
( spl0_59
<=> ! [X27] : ~ c_less(X27,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f166,axiom,
! [X27] : ~ c_less(X27,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f1691,plain,
spl0_58,
inference(avatar_split_clause,[],[f161,f1688]) ).
fof(f1688,plain,
( spl0_58
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f161,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f1686,plain,
spl0_57,
inference(avatar_split_clause,[],[f149,f1684]) ).
fof(f1684,plain,
( spl0_57
<=> ! [X22] : c_0 != c_Suc(X22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f149,axiom,
! [X22] : c_0 != c_Suc(X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f1682,plain,
spl0_56,
inference(avatar_split_clause,[],[f493,f1680]) ).
fof(f1680,plain,
( spl0_56
<=> ! [X56] : class_Orderings_Oorder(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f493,axiom,
! [X56] : class_Orderings_Oorder(tc_set(X56)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1678,plain,
spl0_55,
inference(avatar_split_clause,[],[f492,f1676]) ).
fof(f1676,plain,
( spl0_55
<=> ! [X56] : class_Orderings_Oord(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f492,axiom,
! [X56] : class_Orderings_Oord(tc_set(X56)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1674,plain,
spl0_54,
inference(avatar_split_clause,[],[f370,f1671]) ).
fof(f1671,plain,
( spl0_54
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f370,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1669,plain,
spl0_53,
inference(avatar_split_clause,[],[f368,f1666]) ).
fof(f1666,plain,
( spl0_53
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f368,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1664,plain,
spl0_52,
inference(avatar_split_clause,[],[f367,f1662]) ).
fof(f1662,plain,
( spl0_52
<=> ! [X12] : c_Wellfounded__Recursion_Owf(c_emptyset,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f367,axiom,
! [X12] : c_Wellfounded__Recursion_Owf(c_emptyset,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1660,plain,
~ spl0_51,
inference(avatar_split_clause,[],[f212,f1657]) ).
fof(f1657,plain,
( spl0_51
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f212,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1655,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f167,f1652]) ).
fof(f1652,plain,
( spl0_50
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f167,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1650,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f75,f1647]) ).
fof(f1647,plain,
( spl0_49
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f75,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1645,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f36,f1642]) ).
fof(f1642,plain,
( spl0_48
<=> c_Comb_Ocomb_OK = c_Comb_Ocomb_OS ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f36,axiom,
c_Comb_Ocomb_OK != c_Comb_Ocomb_OS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__2__iff1_0) ).
fof(f1640,plain,
spl0_47,
inference(avatar_split_clause,[],[f488,f1637]) ).
fof(f1637,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f488,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1635,plain,
spl0_46,
inference(avatar_split_clause,[],[f487,f1632]) ).
fof(f1632,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f487,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1630,plain,
spl0_45,
inference(avatar_split_clause,[],[f486,f1627]) ).
fof(f1627,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f486,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1625,plain,
spl0_44,
inference(avatar_split_clause,[],[f485,f1622]) ).
fof(f1622,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f485,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1620,plain,
spl0_43,
inference(avatar_split_clause,[],[f480,f1617]) ).
fof(f1617,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f480,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1615,plain,
spl0_42,
inference(avatar_split_clause,[],[f479,f1612]) ).
fof(f1612,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f479,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1610,plain,
spl0_41,
inference(avatar_split_clause,[],[f478,f1607]) ).
fof(f1607,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f478,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1605,plain,
spl0_40,
inference(avatar_split_clause,[],[f477,f1602]) ).
fof(f1602,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f477,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1600,plain,
spl0_39,
inference(avatar_split_clause,[],[f476,f1597]) ).
fof(f1597,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f476,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1595,plain,
spl0_38,
inference(avatar_split_clause,[],[f475,f1592]) ).
fof(f1592,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f475,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1590,plain,
spl0_37,
inference(avatar_split_clause,[],[f474,f1587]) ).
fof(f1587,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f474,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1585,plain,
spl0_36,
inference(avatar_split_clause,[],[f473,f1582]) ).
fof(f1582,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f473,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1580,plain,
spl0_35,
inference(avatar_split_clause,[],[f472,f1577]) ).
fof(f1577,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f472,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1575,plain,
spl0_34,
inference(avatar_split_clause,[],[f471,f1572]) ).
fof(f1572,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f471,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1570,plain,
spl0_33,
inference(avatar_split_clause,[],[f470,f1567]) ).
fof(f1567,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f470,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1565,plain,
spl0_32,
inference(avatar_split_clause,[],[f469,f1562]) ).
fof(f1562,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f469,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1560,plain,
spl0_31,
inference(avatar_split_clause,[],[f465,f1557]) ).
fof(f1557,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f465,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1555,plain,
spl0_30,
inference(avatar_split_clause,[],[f454,f1552]) ).
fof(f1552,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f454,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1550,plain,
spl0_29,
inference(avatar_split_clause,[],[f439,f1547]) ).
fof(f1547,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f439,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1545,plain,
spl0_28,
inference(avatar_split_clause,[],[f438,f1542]) ).
fof(f1542,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f438,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1540,plain,
spl0_27,
inference(avatar_split_clause,[],[f427,f1537]) ).
fof(f1537,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f427,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1535,plain,
spl0_26,
inference(avatar_split_clause,[],[f425,f1532]) ).
fof(f1532,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f425,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1530,plain,
spl0_25,
inference(avatar_split_clause,[],[f424,f1527]) ).
fof(f1527,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f424,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1525,plain,
spl0_24,
inference(avatar_split_clause,[],[f422,f1522]) ).
fof(f1522,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f422,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1520,plain,
spl0_23,
inference(avatar_split_clause,[],[f421,f1517]) ).
fof(f1517,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f421,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1515,plain,
spl0_22,
inference(avatar_split_clause,[],[f420,f1512]) ).
fof(f1512,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f420,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1510,plain,
spl0_21,
inference(avatar_split_clause,[],[f419,f1507]) ).
fof(f1507,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f419,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1505,plain,
spl0_20,
inference(avatar_split_clause,[],[f418,f1502]) ).
fof(f1502,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f418,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1500,plain,
spl0_19,
inference(avatar_split_clause,[],[f417,f1497]) ).
fof(f1497,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f417,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1495,plain,
spl0_18,
inference(avatar_split_clause,[],[f416,f1492]) ).
fof(f1492,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f416,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1490,plain,
spl0_17,
inference(avatar_split_clause,[],[f415,f1487]) ).
fof(f1487,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f415,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1485,plain,
spl0_16,
inference(avatar_split_clause,[],[f414,f1482]) ).
fof(f1482,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f414,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1480,plain,
spl0_15,
inference(avatar_split_clause,[],[f413,f1477]) ).
fof(f1477,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f413,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1475,plain,
spl0_14,
inference(avatar_split_clause,[],[f412,f1472]) ).
fof(f1472,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f412,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1470,plain,
spl0_13,
inference(avatar_split_clause,[],[f411,f1467]) ).
fof(f1467,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f411,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1465,plain,
spl0_12,
inference(avatar_split_clause,[],[f410,f1462]) ).
fof(f1462,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f410,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1460,plain,
spl0_11,
inference(avatar_split_clause,[],[f409,f1457]) ).
fof(f1457,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f409,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1455,plain,
spl0_10,
inference(avatar_split_clause,[],[f408,f1452]) ).
fof(f1452,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f408,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1450,plain,
spl0_9,
inference(avatar_split_clause,[],[f406,f1447]) ).
fof(f1447,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f406,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1445,plain,
spl0_8,
inference(avatar_split_clause,[],[f405,f1442]) ).
fof(f1442,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f405,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1440,plain,
spl0_7,
inference(avatar_split_clause,[],[f404,f1437]) ).
fof(f1437,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f404,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1435,plain,
spl0_6,
inference(avatar_split_clause,[],[f403,f1432]) ).
fof(f1432,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f403,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1430,plain,
spl0_5,
inference(avatar_split_clause,[],[f402,f1427]) ).
fof(f1427,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f402,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1425,plain,
spl0_4,
inference(avatar_split_clause,[],[f401,f1422]) ).
fof(f1422,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f401,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1420,plain,
spl0_3,
inference(avatar_split_clause,[],[f400,f1417]) ).
fof(f1417,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f400,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1415,plain,
spl0_2,
inference(avatar_split_clause,[],[f399,f1412]) ).
fof(f1412,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f399,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1410,plain,
spl0_1,
inference(avatar_split_clause,[],[f398,f1407]) ).
fof(f1407,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f398,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL115-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:26:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (5189)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.42 % (5191)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.42 % (5190)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.43 % (5192)WARNING: value z3 for option sas not known
% 0.21/0.43 % (5193)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.43 % (5192)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)
% 0.21/0.43 % (5194)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)
% 0.21/0.43 % (5196)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)
% 0.21/0.44 % (5195)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)
% 0.21/0.48 TRYING [1]
% 0.21/0.49 TRYING [2]
% 0.21/0.50 % (5194)First to succeed.
% 0.21/0.52 % (5194)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5189"
% 0.21/0.52 % (5194)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (5194)------------------------------
% 0.21/0.53 % (5194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.53 % (5194)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (5194)Memory used [KB]: 3094
% 0.21/0.53 % (5194)Time elapsed: 0.087 s
% 0.21/0.53 % (5194)Instructions burned: 163 (million)
% 0.21/0.53 % (5189)Success in time 0.154 s
%------------------------------------------------------------------------------