TSTP Solution File: COL124-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL124-1 : 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 : n018.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 04:46:01 EDT 2024
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 973
% Syntax : Number of formulae : 1512 ( 602 unt; 0 def)
% Number of atoms : 2907 ( 267 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2353 ( 958 ~; 900 |; 0 &)
% ( 495 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 533 ( 531 usr; 496 prp; 0-3 aty)
% Number of functors : 87 ( 87 usr; 22 con; 0-4 aty)
% Number of variables : 1629 (1629 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3983,plain,
$false,
inference(avatar_sat_refutation,[],[f1395,f1400,f1405,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,f1649,f1654,f1659,f1663,f1667,f1671,f1676,f1680,f1684,f1688,f1692,f1696,f1700,f1704,f1708,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1776,f1780,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1820,f1824,f1828,f1832,f1836,f1840,f1844,f1848,f1852,f1856,f1860,f1864,f1868,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1984,f1988,f1992,f1996,f2000,f2004,f2008,f2012,f2016,f2020,f2024,f2028,f2032,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2068,f2072,f2076,f2080,f2084,f2088,f2092,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2184,f2188,f2192,f2196,f2200,f2204,f2208,f2212,f2216,f2220,f2224,f2228,f2232,f2236,f2240,f2244,f2248,f2252,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2300,f2304,f2308,f2312,f2316,f2320,f2324,f2328,f2332,f2336,f2340,f2344,f2348,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2400,f2404,f2408,f2412,f2416,f2420,f2424,f2428,f2432,f2436,f2440,f2444,f2448,f2452,f2456,f2460,f2464,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2500,f2504,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2536,f2540,f2544,f2548,f2552,f2556,f2560,f2564,f2875,f2879,f2883,f2888,f2892,f2896,f2900,f2904,f2908,f2912,f2916,f2920,f2924,f2928,f2932,f2936,f2940,f2944,f2948,f2952,f2957,f2961,f2965,f2969,f2973,f2977,f2981,f2985,f2989,f2993,f2997,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3029,f3033,f3053,f3057,f3061,f3065,f3069,f3073,f3077,f3081,f3085,f3089,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3144,f3148,f3152,f3158,f3162,f3166,f3170,f3174,f3178,f3182,f3186,f3190,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3228,f3232,f3238,f3259,f3263,f3267,f3271,f3275,f3279,f3283,f3287,f3291,f3295,f3299,f3303,f3307,f3311,f3315,f3319,f3323,f3327,f3331,f3335,f3339,f3343,f3347,f3351,f3355,f3359,f3363,f3375,f3397,f3417,f3422,f3426,f3430,f3434,f3438,f3442,f3446,f3450,f3454,f3458,f3469,f3473,f3477,f3481,f3485,f3489,f3493,f3497,f3501,f3505,f3509,f3513,f3517,f3521,f3525,f3529,f3533,f3537,f3541,f3545,f3549,f3553,f3557,f3561,f3565,f3569,f3573,f3577,f3581,f3585,f3589,f3593,f3597,f3601,f3614,f3631,f3643,f3677,f3681,f3685,f3689,f3693,f3697,f3701,f3705,f3709,f3713,f3717,f3721,f3725,f3730,f3734,f3738,f3752,f3768,f3772,f3776,f3780,f3784,f3788,f3792,f3796,f3800,f3804,f3808,f3812,f3816,f3820,f3824,f3828,f3842,f3887,f3891,f3895,f3899,f3903,f3907,f3911,f3915,f3919,f3923,f3927,f3931,f3935,f3939,f3943,f3947,f3951,f3955,f3959,f3963,f3982]) ).
fof(f3982,plain,
( ~ spl0_459
| ~ spl0_475 ),
inference(avatar_contradiction_clause,[],[f3979]) ).
fof(f3979,plain,
( $false
| ~ spl0_459
| ~ spl0_475 ),
inference(resolution,[],[f3841,f3767]) ).
fof(f3767,plain,
( ! [X9,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X4),X9),X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_459 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3766,plain,
( spl0_459
<=> ! [X4,X9] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X4),X9),X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f3841,plain,
( ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OK),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f3840]) ).
fof(f3840,plain,
( spl0_475
<=> ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OK),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f3963,plain,
spl0_495,
inference(avatar_split_clause,[],[f350,f3961]) ).
fof(f3961,plain,
( spl0_495
<=> ! [X55,X54,X11,X14] :
( ~ c_Wellfounded__Recursion_Owf(X54,X14)
| ~ c_Wellfounded__Recursion_Owf(X55,X11)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X11,X14),tc_prod(X11,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f350,axiom,
! [X11,X54,X55,X14] :
( ~ c_Wellfounded__Recursion_Owf(X54,X14)
| ~ c_Wellfounded__Recursion_Owf(X55,X11)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X11,X14),tc_prod(X11,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f3959,plain,
spl0_494,
inference(avatar_split_clause,[],[f348,f3957]) ).
fof(f3957,plain,
( spl0_494
<=> ! [X53,X11,X14,X52] :
( ~ c_Relation_Otrans(X52,X14)
| ~ c_Relation_Otrans(X53,X11)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X11,X14),tc_prod(X11,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f348,axiom,
! [X11,X52,X14,X53] :
( ~ c_Relation_Otrans(X52,X14)
| ~ c_Relation_Otrans(X53,X11)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X11,X14),tc_prod(X11,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f3955,plain,
spl0_493,
inference(avatar_split_clause,[],[f303,f3953]) ).
fof(f3953,plain,
( spl0_493
<=> ! [X22,X11,X40] :
( c_in(c_Main_OdiagE__1(X22,X40,X11),X22,X11)
| ~ c_in(X40,c_Relation_Odiag(X22,X11),tc_prod(X11,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f303,axiom,
! [X40,X11,X22] :
( c_in(c_Main_OdiagE__1(X22,X40,X11),X22,X11)
| ~ c_in(X40,c_Relation_Odiag(X22,X11),tc_prod(X11,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f3951,plain,
spl0_492,
inference(avatar_split_clause,[],[f219,f3949]) ).
fof(f3949,plain,
( spl0_492
<=> ! [X9,X2,X11,X4] :
( c_Wellfounded__Recursion_Owf(X2,X11)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X9,X4,X11,X11),X2,tc_prod(X11,X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f219,axiom,
! [X2,X11,X9,X4] :
( c_Wellfounded__Recursion_Owf(X2,X11)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X9,X4,X11,X11),X2,tc_prod(X11,X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f3947,plain,
spl0_491,
inference(avatar_split_clause,[],[f216,f3945]) ).
fof(f3945,plain,
( spl0_491
<=> ! [X9,X2,X11,X4] :
( c_Wellfounded__Recursion_Oacyclic(X2,X11)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X9,X4,X11,X11),X2,tc_prod(X11,X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f216,axiom,
! [X2,X11,X9,X4] :
( c_Wellfounded__Recursion_Oacyclic(X2,X11)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X9,X4,X11,X11),X2,tc_prod(X11,X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f3943,plain,
spl0_490,
inference(avatar_split_clause,[],[f198,f3941]) ).
fof(f3941,plain,
( spl0_490
<=> ! [X41,X42,X11,X22] :
( ~ c_in(X22,X41,X11)
| ~ c_in(X41,X42,tc_set(X11))
| c_in(X22,c_Union(X42,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f198,axiom,
! [X41,X11,X22,X42] :
( ~ c_in(X22,X41,X11)
| ~ c_in(X41,X42,tc_set(X11))
| c_in(X22,c_Union(X42,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f3939,plain,
( spl0_489
| ~ spl0_392
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f3831,f3766,f3373,f3937]) ).
fof(f3937,plain,
( spl0_489
<=> ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_OI),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f3373,plain,
( spl0_392
<=> ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_OI,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f3831,plain,
( ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_OI),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_392
| ~ spl0_459 ),
inference(resolution,[],[f3767,f3374]) ).
fof(f3374,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,c_Comb_OI,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f3935,plain,
spl0_488,
inference(avatar_split_clause,[],[f194,f3933]) ).
fof(f3933,plain,
( spl0_488
<=> ! [X40,X11,X23,X22] :
( c_in(X40,X22,X11)
| c_in(X40,X23,X11)
| ~ c_in(X40,c_union(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f194,axiom,
! [X40,X11,X22,X23] :
( c_in(X40,X22,X11)
| c_in(X40,X23,X11)
| ~ c_in(X40,c_union(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f3931,plain,
spl0_487,
inference(avatar_split_clause,[],[f188,f3929]) ).
fof(f3929,plain,
( spl0_487
<=> ! [X41,X42,X11,X22] :
( c_in(X22,X41,X11)
| ~ c_in(X41,X42,tc_set(X11))
| ~ c_in(X22,c_Inter(X42,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f188,axiom,
! [X41,X11,X22,X42] :
( c_in(X22,X41,X11)
| ~ c_in(X41,X42,tc_set(X11))
| ~ c_in(X22,c_Inter(X42,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f3927,plain,
spl0_486,
inference(avatar_split_clause,[],[f187,f3925]) ).
fof(f3925,plain,
( spl0_486
<=> ! [X40,X11,X23,X22] :
( ~ c_in(X40,X23,X11)
| ~ c_in(X40,X22,X11)
| c_in(X40,c_inter(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f187,axiom,
! [X40,X11,X22,X23] :
( ~ c_in(X40,X23,X11)
| ~ c_in(X40,X22,X11)
| c_in(X40,c_inter(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f3923,plain,
spl0_485,
inference(avatar_split_clause,[],[f176,f3921]) ).
fof(f3921,plain,
( spl0_485
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| ~ c_lessequals(X4,X9,X11)
| c_lessequals(c_SetInterval_OlessThan(X4,X11),c_SetInterval_OlessThan(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f176,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| ~ c_lessequals(X4,X9,X11)
| c_lessequals(c_SetInterval_OlessThan(X4,X11),c_SetInterval_OlessThan(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f3919,plain,
spl0_484,
inference(avatar_split_clause,[],[f175,f3917]) ).
fof(f3917,plain,
( spl0_484
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| c_lessequals(X4,X9,X11)
| ~ c_lessequals(c_SetInterval_OlessThan(X4,X11),c_SetInterval_OlessThan(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f175,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| c_lessequals(X4,X9,X11)
| ~ c_lessequals(c_SetInterval_OlessThan(X4,X11),c_SetInterval_OlessThan(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f3915,plain,
spl0_483,
inference(avatar_split_clause,[],[f171,f3913]) ).
fof(f3913,plain,
( spl0_483
<=> ! [X4,X11,X9] :
( ~ class_Orderings_Olinorder(X11)
| ~ c_lessequals(X9,X4,X11)
| c_lessequals(c_SetInterval_OgreaterThan(X4,X11),c_SetInterval_OgreaterThan(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f171,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| ~ c_lessequals(X9,X4,X11)
| c_lessequals(c_SetInterval_OgreaterThan(X4,X11),c_SetInterval_OgreaterThan(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f3911,plain,
spl0_482,
inference(avatar_split_clause,[],[f170,f3909]) ).
fof(f3909,plain,
( spl0_482
<=> ! [X4,X11,X9] :
( ~ class_Orderings_Olinorder(X11)
| c_lessequals(X9,X4,X11)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X4,X11),c_SetInterval_OgreaterThan(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f170,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| c_lessequals(X9,X4,X11)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X4,X11),c_SetInterval_OgreaterThan(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f3907,plain,
spl0_481,
inference(avatar_split_clause,[],[f166,f3905]) ).
fof(f3905,plain,
( spl0_481
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Oorder(X11)
| ~ c_lessequals(X4,X9,X11)
| c_lessequals(c_SetInterval_OatMost(X4,X11),c_SetInterval_OatMost(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f166,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Oorder(X11)
| ~ c_lessequals(X4,X9,X11)
| c_lessequals(c_SetInterval_OatMost(X4,X11),c_SetInterval_OatMost(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f3903,plain,
spl0_480,
inference(avatar_split_clause,[],[f165,f3901]) ).
fof(f3901,plain,
( spl0_480
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X4,X9,X11)
| ~ c_lessequals(c_SetInterval_OatMost(X4,X11),c_SetInterval_OatMost(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f165,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X4,X9,X11)
| ~ c_lessequals(c_SetInterval_OatMost(X4,X11),c_SetInterval_OatMost(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f3899,plain,
spl0_479,
inference(avatar_split_clause,[],[f161,f3897]) ).
fof(f3897,plain,
( spl0_479
<=> ! [X4,X11,X9] :
( ~ class_Orderings_Oorder(X11)
| ~ c_lessequals(X9,X4,X11)
| c_lessequals(c_SetInterval_OatLeast(X4,X11),c_SetInterval_OatLeast(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f161,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Oorder(X11)
| ~ c_lessequals(X9,X4,X11)
| c_lessequals(c_SetInterval_OatLeast(X4,X11),c_SetInterval_OatLeast(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f3895,plain,
( spl0_478
| ~ spl0_394
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f3830,f3766,f3415,f3893]) ).
fof(f3893,plain,
( spl0_478
<=> ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OS),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f3415,plain,
( spl0_394
<=> ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_Ocomb_OS,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f3830,plain,
( ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OS),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_394
| ~ spl0_459 ),
inference(resolution,[],[f3767,f3416]) ).
fof(f3416,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,c_Comb_Ocomb_OS,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f3415]) ).
fof(f3891,plain,
spl0_477,
inference(avatar_split_clause,[],[f160,f3889]) ).
fof(f3889,plain,
( spl0_477
<=> ! [X4,X11,X9] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X9,X4,X11)
| ~ c_lessequals(c_SetInterval_OatLeast(X4,X11),c_SetInterval_OatLeast(X9,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f160,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X9,X4,X11)
| ~ c_lessequals(c_SetInterval_OatLeast(X4,X11),c_SetInterval_OatLeast(X9,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f3887,plain,
spl0_476,
inference(avatar_split_clause,[],[f129,f3885]) ).
fof(f3885,plain,
( spl0_476
<=> ! [X21,X26] :
( c_less(c_0,X21,tc_nat)
| c_less(c_0,X26,tc_nat)
| ~ c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f129,axiom,
! [X21,X26] :
( c_less(c_0,X21,tc_nat)
| c_less(c_0,X26,tc_nat)
| ~ c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f3842,plain,
( spl0_475
| ~ spl0_393
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f3829,f3766,f3395,f3840]) ).
fof(f3395,plain,
( spl0_393
<=> ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f3829,plain,
( ! [X0,X1] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OK),X0),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_393
| ~ spl0_459 ),
inference(resolution,[],[f3767,f3396]) ).
fof(f3396,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f3395]) ).
fof(f3828,plain,
spl0_474,
inference(avatar_split_clause,[],[f342,f3826]) ).
fof(f3826,plain,
( spl0_474
<=> ! [X2,X0,X11] :
( ~ c_in(X0,X2,tc_prod(X11,X11))
| c_in(X0,c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f342,axiom,
! [X2,X0,X11] :
( ~ c_in(X0,X2,tc_prod(X11,X11))
| c_in(X0,c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3824,plain,
spl0_473,
inference(avatar_split_clause,[],[f322,f3822]) ).
fof(f3822,plain,
( spl0_473
<=> ! [X22,X11,X42] :
( ~ c_in(X22,c_Union(X42,X11),X11)
| c_in(c_Main_OUnionE__1(X22,X42,X11),X42,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f322,axiom,
! [X11,X22,X42] :
( ~ c_in(X22,c_Union(X42,X11),X11)
| c_in(c_Main_OUnionE__1(X22,X42,X11),X42,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3820,plain,
spl0_472,
inference(avatar_split_clause,[],[f319,f3818]) ).
fof(f3818,plain,
( spl0_472
<=> ! [X22,X11,X42] :
( c_in(X22,c_Inter(X42,X11),X11)
| c_in(c_Main_OInterI__1(X22,X42,X11),X42,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f319,axiom,
! [X11,X22,X42] :
( c_in(X22,c_Inter(X42,X11),X11)
| c_in(c_Main_OInterI__1(X22,X42,X11),X42,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3816,plain,
( spl0_471
| ~ spl0_292
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f3753,f3728,f2918,f3814]) ).
fof(f3814,plain,
( spl0_471
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f2918,plain,
( spl0_292
<=> ! [X22,X11] : c_lessequals(c_emptyset,X22,tc_set(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3728,plain,
( spl0_455
<=> ! [X22,X11,X23] :
( X22 = X23
| ~ c_lessequals(X22,X23,tc_set(X11))
| c_less(X22,X23,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f3753,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_292
| ~ spl0_455 ),
inference(resolution,[],[f3729,f2919]) ).
fof(f2919,plain,
( ! [X11,X22] : c_lessequals(c_emptyset,X22,tc_set(X11))
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f3729,plain,
( ! [X11,X22,X23] :
( ~ c_lessequals(X22,X23,tc_set(X11))
| X22 = X23
| c_less(X22,X23,tc_set(X11)) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f3728]) ).
fof(f3812,plain,
spl0_470,
inference(avatar_split_clause,[],[f282,f3810]) ).
fof(f3810,plain,
( spl0_470
<=> ! [X48,X4,X11,X22] :
( c_in(X4,X22,X11)
| ~ c_in(c_List_Olist_OCons(X4,X48,X11),c_List_Olists(X22,X11),tc_List_Olist(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f282,axiom,
! [X48,X11,X4,X22] :
( c_in(X4,X22,X11)
| ~ c_in(c_List_Olist_OCons(X4,X48,X11),c_List_Olists(X22,X11),tc_List_Olist(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3808,plain,
spl0_469,
inference(avatar_split_clause,[],[f271,f3806]) ).
fof(f3806,plain,
( spl0_469
<=> ! [X22,X11,X28] :
( ~ c_in(c_Main_Oin__listsI__1(X22,X28,X11),X22,X11)
| c_in(X28,c_List_Olists(X22,X11),tc_List_Olist(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f271,axiom,
! [X28,X11,X22] :
( ~ c_in(c_Main_Oin__listsI__1(X22,X28,X11),X22,X11)
| c_in(X28,c_List_Olists(X22,X11),tc_List_Olist(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3804,plain,
spl0_468,
inference(avatar_split_clause,[],[f266,f3802]) ).
fof(f3802,plain,
( spl0_468
<=> ! [X45,X21] :
( c_0 != c_Divides_Oop_Amod(X21,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X21),tc_IntDef_Oint) = X21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f266,axiom,
! [X21,X45] :
( c_0 != c_Divides_Oop_Amod(X21,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X21),tc_IntDef_Oint) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3800,plain,
spl0_467,
inference(avatar_split_clause,[],[f250,f3798]) ).
fof(f3798,plain,
( spl0_467
<=> ! [X45,X21] :
( c_0 != c_Divides_Oop_Amod(X21,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X21),tc_nat) = X21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f250,axiom,
! [X21,X45] :
( c_0 != c_Divides_Oop_Amod(X21,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X21),tc_nat) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3796,plain,
spl0_466,
inference(avatar_split_clause,[],[f223,f3794]) ).
fof(f3794,plain,
( spl0_466
<=> ! [X9,X4] :
( ~ c_less(X4,X9,tc_nat)
| c_in(c_Pair(X4,X9,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f223,axiom,
! [X9,X4] :
( ~ c_less(X4,X9,tc_nat)
| c_in(c_Pair(X4,X9,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(f3792,plain,
spl0_465,
inference(avatar_split_clause,[],[f222,f3790]) ).
fof(f3790,plain,
( spl0_465
<=> ! [X9,X4] :
( c_less(X4,X9,tc_nat)
| ~ c_in(c_Pair(X4,X9,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f222,axiom,
! [X9,X4] :
( c_less(X4,X9,tc_nat)
| ~ c_in(c_Pair(X4,X9,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(f3788,plain,
spl0_464,
inference(avatar_split_clause,[],[f202,f3786]) ).
fof(f3786,plain,
( spl0_464
<=> ! [X15,X11,X13,X22] :
( X13 = X15
| c_in(X13,X22,X11)
| ~ c_in(X13,c_insert(X15,X22,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f202,axiom,
! [X11,X15,X22,X13] :
( X13 = X15
| c_in(X13,X22,X11)
| ~ c_in(X13,c_insert(X15,X22,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3784,plain,
spl0_463,
inference(avatar_split_clause,[],[f150,f3782]) ).
fof(f3782,plain,
( spl0_463
<=> ! [X15,X11,X14,X13,X12,X39] :
( X15 = X39
| c_Pair(X13,X15,X11,X14) != c_Pair(X12,X39,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f150,axiom,
! [X39,X11,X14,X15,X12,X13] :
( X15 = X39
| c_Pair(X13,X15,X11,X14) != c_Pair(X12,X39,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3780,plain,
spl0_462,
inference(avatar_split_clause,[],[f149,f3778]) ).
fof(f3778,plain,
( spl0_462
<=> ! [X15,X11,X13,X14,X12,X39] :
( X12 = X13
| c_Pair(X13,X15,X11,X14) != c_Pair(X12,X39,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f149,axiom,
! [X39,X11,X14,X15,X12,X13] :
( X12 = X13
| c_Pair(X13,X15,X11,X14) != c_Pair(X12,X39,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3776,plain,
spl0_461,
inference(avatar_split_clause,[],[f44,f3774]) ).
fof(f3774,plain,
( spl0_461
<=> ! [X17,X11,X14,X16,X19,X20] :
( X17 = X20
| c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OScons(X19,X20,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f44,axiom,
! [X11,X19,X16,X14,X17,X20] :
( X17 = X20
| c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OScons(X19,X20,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3772,plain,
spl0_460,
inference(avatar_split_clause,[],[f43,f3770]) ).
fof(f3770,plain,
( spl0_460
<=> ! [X17,X11,X14,X16,X19,X20] :
( X16 = X19
| c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OScons(X19,X20,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f43,axiom,
! [X11,X19,X16,X14,X17,X20] :
( X16 = X19
| c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OScons(X19,X20,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3768,plain,
spl0_459,
inference(avatar_split_clause,[],[f24,f3766]) ).
fof(f24,axiom,
! [X9,X4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X4),X9),X4,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(f3752,plain,
( spl0_458
| ~ spl0_389
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f3726,f3683,f3353,f3750]) ).
fof(f3750,plain,
( spl0_458
<=> ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f3353,plain,
( spl0_389
<=> ! [X22,X11,X23] :
( ~ c_less(X22,X23,tc_set(X11))
| ~ c_lessequals(X23,X22,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f3683,plain,
( spl0_444
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f3726,plain,
( ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1))
| ~ spl0_389
| ~ spl0_444 ),
inference(resolution,[],[f3684,f3354]) ).
fof(f3354,plain,
( ! [X11,X22,X23] :
( ~ c_lessequals(X23,X22,tc_set(X11))
| ~ c_less(X22,X23,tc_set(X11)) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f3684,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f3683]) ).
fof(f3738,plain,
spl0_457,
inference(avatar_split_clause,[],[f334,f3736]) ).
fof(f3736,plain,
( spl0_457
<=> ! [X22,X11,X23] :
( X22 = X23
| ~ c_lessequals(X22,X23,tc_set(X11))
| ~ c_lessequals(X23,X22,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f334,axiom,
! [X11,X22,X23] :
( X22 = X23
| ~ c_lessequals(X22,X23,tc_set(X11))
| ~ c_lessequals(X23,X22,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3734,plain,
spl0_456,
inference(avatar_split_clause,[],[f331,f3732]) ).
fof(f3732,plain,
( spl0_456
<=> ! [X40,X11,X23,X22] :
( ~ c_in(X40,X22,X11)
| c_in(X40,X23,X11)
| ~ c_lessequals(X22,X23,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f331,axiom,
! [X40,X11,X22,X23] :
( ~ c_in(X40,X22,X11)
| c_in(X40,X23,X11)
| ~ c_lessequals(X22,X23,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3730,plain,
spl0_455,
inference(avatar_split_clause,[],[f327,f3728]) ).
fof(f327,axiom,
! [X11,X22,X23] :
( X22 = X23
| ~ c_lessequals(X22,X23,tc_set(X11))
| c_less(X22,X23,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3725,plain,
spl0_454,
inference(avatar_split_clause,[],[f323,f3723]) ).
fof(f3723,plain,
( spl0_454
<=> ! [X22,X11,X42] :
( ~ c_in(X22,c_Union(X42,X11),X11)
| c_in(X22,c_Main_OUnionE__1(X22,X42,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f323,axiom,
! [X11,X22,X42] :
( ~ c_in(X22,c_Union(X42,X11),X11)
| c_in(X22,c_Main_OUnionE__1(X22,X42,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3721,plain,
spl0_453,
inference(avatar_split_clause,[],[f320,f3719]) ).
fof(f3719,plain,
( spl0_453
<=> ! [X22,X11,X42] :
( c_in(X22,c_Inter(X42,X11),X11)
| ~ c_in(X22,c_Main_OInterI__1(X22,X42,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f320,axiom,
! [X11,X22,X42] :
( c_in(X22,c_Inter(X42,X11),X11)
| ~ c_in(X22,c_Main_OInterI__1(X22,X42,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3717,plain,
spl0_452,
inference(avatar_split_clause,[],[f254,f3715]) ).
fof(f3715,plain,
( spl0_452
<=> ! [X25,X11,X24] :
( ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_inter(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f254,axiom,
! [X11,X24,X25] :
( ~ c_in(X25,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_inter(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3713,plain,
spl0_451,
inference(avatar_split_clause,[],[f253,f3711]) ).
fof(f3711,plain,
( spl0_451
<=> ! [X25,X11,X24] :
( ~ c_in(X24,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_inter(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f253,axiom,
! [X11,X24,X25] :
( ~ c_in(X24,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_inter(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3709,plain,
spl0_450,
inference(avatar_split_clause,[],[f252,f3707]) ).
fof(f3707,plain,
( spl0_450
<=> ! [X22,X11,X13] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_insert(X13,X22,X11),c_Finite__Set_OFinites,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f252,axiom,
! [X11,X22,X13] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_insert(X13,X22,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3705,plain,
spl0_449,
inference(avatar_split_clause,[],[f156,f3703]) ).
fof(f3703,plain,
( spl0_449
<=> ! [X13,X11,X15] :
( X13 = X15
| ~ c_in(c_Pair(X13,X15,X11,X11),c_Relation_OId,tc_prod(X11,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f156,axiom,
! [X11,X15,X13] :
( X13 = X15
| ~ c_in(c_Pair(X13,X15,X11,X11),c_Relation_OId,tc_prod(X11,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3701,plain,
spl0_448,
inference(avatar_split_clause,[],[f66,f3699]) ).
fof(f3699,plain,
( spl0_448
<=> ! [X18,X21,X26] :
( c_Divides_Oop_Advd(X18,X26,tc_nat)
| ~ c_Divides_Oop_Advd(X18,c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f66,axiom,
! [X21,X18,X26] :
( c_Divides_Oop_Advd(X18,X26,tc_nat)
| ~ c_Divides_Oop_Advd(X18,c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3697,plain,
spl0_447,
inference(avatar_split_clause,[],[f65,f3695]) ).
fof(f3695,plain,
( spl0_447
<=> ! [X18,X21,X26] :
( c_Divides_Oop_Advd(X18,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X18,c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f65,axiom,
! [X21,X18,X26] :
( c_Divides_Oop_Advd(X18,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X18,c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3693,plain,
spl0_446,
inference(avatar_split_clause,[],[f61,f3691]) ).
fof(f3691,plain,
( spl0_446
<=> ! [X25,X11,X24] :
( c_in(X25,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_union(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f61,axiom,
! [X11,X24,X25] :
( c_in(X25,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_union(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3689,plain,
spl0_445,
inference(avatar_split_clause,[],[f60,f3687]) ).
fof(f3687,plain,
( spl0_445
<=> ! [X25,X11,X24] :
( c_in(X24,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_union(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f60,axiom,
! [X11,X24,X25] :
( c_in(X24,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_union(X24,X25,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3685,plain,
( spl0_444
| ~ spl0_66
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f3667,f3595,f1706,f3683]) ).
fof(f1706,plain,
( spl0_66
<=> ! [X4,X11] : c_in(X4,c_UNIV,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f3595,plain,
( spl0_437
<=> ! [X22,X11,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| ~ c_in(c_Main_OsubsetI__1(X22,X23,X11),X23,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f3667,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_66
| ~ spl0_437 ),
inference(resolution,[],[f3596,f1707]) ).
fof(f1707,plain,
( ! [X11,X4] : c_in(X4,c_UNIV,X11)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f3596,plain,
( ! [X11,X22,X23] :
( ~ c_in(c_Main_OsubsetI__1(X22,X23,X11),X23,X11)
| c_lessequals(X22,X23,tc_set(X11)) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f3595]) ).
fof(f3681,plain,
spl0_443,
inference(avatar_split_clause,[],[f59,f3679]) ).
fof(f3679,plain,
( spl0_443
<=> ! [X22,X11] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_Pow(X22,X11),c_Finite__Set_OFinites,tc_set(tc_set(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f59,axiom,
! [X11,X22] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| c_in(c_Pow(X22,X11),c_Finite__Set_OFinites,tc_set(tc_set(X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3677,plain,
spl0_442,
inference(avatar_split_clause,[],[f58,f3675]) ).
fof(f3675,plain,
( spl0_442
<=> ! [X22,X11] :
( c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_Pow(X22,X11),c_Finite__Set_OFinites,tc_set(tc_set(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f58,axiom,
! [X11,X22] :
( c_in(X22,c_Finite__Set_OFinites,tc_set(X11))
| ~ c_in(c_Pow(X22,X11),c_Finite__Set_OFinites,tc_set(tc_set(X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3643,plain,
( spl0_441
| ~ spl0_316
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3390,f3309,f3015,f3641]) ).
fof(f3641,plain,
( spl0_441
<=> ! [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_441])]) ).
fof(f3015,plain,
( spl0_316
<=> ! [X18,X21] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3309,plain,
( spl0_378
<=> ! [X27,X3] :
( c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X3,tc_IntDef_Oint),X27,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f3390,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,[],[f3310,f3016]) ).
fof(f3016,plain,
( ! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f3310,plain,
( ! [X3,X27] :
( ~ c_Divides_Oop_Advd(c_uminus(X3,tc_IntDef_Oint),X27,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f3631,plain,
( spl0_440
| ~ spl0_315
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3389,f3309,f3011,f3629]) ).
fof(f3629,plain,
( spl0_440
<=> ! [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_440])]) ).
fof(f3011,plain,
( spl0_315
<=> ! [X18,X21] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3389,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,[],[f3310,f3012]) ).
fof(f3012,plain,
( ! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f3614,plain,
( spl0_439
| ~ spl0_306
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f3386,f3305,f2975,f3612]) ).
fof(f3612,plain,
( spl0_439
<=> ! [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_439])]) ).
fof(f2975,plain,
( spl0_306
<=> ! [X21] :
( c_0 = X21
| ~ c_Divides_Oop_Advd(c_0,X21,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3305,plain,
( spl0_377
<=> ! [X27,X3] :
( ~ c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X3,c_uminus(X27,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f3386,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,[],[f3306,f2976]) ).
fof(f2976,plain,
( ! [X21] :
( ~ c_Divides_Oop_Advd(c_0,X21,tc_IntDef_Oint)
| c_0 = X21 )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f3306,plain,
( ! [X3,X27] :
( c_Divides_Oop_Advd(X3,c_uminus(X27,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f3305]) ).
fof(f3601,plain,
spl0_438,
inference(avatar_split_clause,[],[f343,f3599]) ).
fof(f3599,plain,
( spl0_438
<=> ! [X13,X2,X11] : c_in(c_Pair(X13,X13,X11,X11),c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f343,axiom,
! [X2,X11,X13] : c_in(c_Pair(X13,X13,X11,X11),c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3597,plain,
spl0_437,
inference(avatar_split_clause,[],[f333,f3595]) ).
fof(f333,axiom,
! [X11,X22,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| ~ c_in(c_Main_OsubsetI__1(X22,X23,X11),X23,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3593,plain,
spl0_436,
inference(avatar_split_clause,[],[f332,f3591]) ).
fof(f3591,plain,
( spl0_436
<=> ! [X22,X11,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| c_in(c_Main_OsubsetI__1(X22,X23,X11),X22,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f332,axiom,
! [X11,X22,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| c_in(c_Main_OsubsetI__1(X22,X23,X11),X22,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3589,plain,
spl0_435,
inference(avatar_split_clause,[],[f272,f3587]) ).
fof(f3587,plain,
( spl0_435
<=> ! [X11,X28] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X28,X11),tc_List_Olist(X11)),c_Nat_Osize(X28,tc_List_Olist(X11)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f272,axiom,
! [X28,X11] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X28,X11),tc_List_Olist(X11)),c_Nat_Osize(X28,tc_List_Olist(X11)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3585,plain,
spl0_434,
inference(avatar_split_clause,[],[f225,f3583]) ).
fof(f3583,plain,
( spl0_434
<=> ! [X4,X11,X14,X9] :
( X4 = X9
| c_Datatype__Universe_ONumb(X4,X11,X14) != c_Datatype__Universe_ONumb(X9,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f225,axiom,
! [X11,X9,X14,X4] :
( X4 = X9
| c_Datatype__Universe_ONumb(X4,X11,X14) != c_Datatype__Universe_ONumb(X9,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3581,plain,
spl0_433,
inference(avatar_split_clause,[],[f224,f3579]) ).
fof(f3579,plain,
( spl0_433
<=> ! [X4,X11,X14,X9] :
( X4 = X9
| c_Datatype__Universe_OLeaf(X4,X11,X14) != c_Datatype__Universe_OLeaf(X9,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f224,axiom,
! [X11,X9,X14,X4] :
( X4 = X9
| c_Datatype__Universe_OLeaf(X4,X11,X14) != c_Datatype__Universe_OLeaf(X9,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3577,plain,
spl0_432,
inference(avatar_split_clause,[],[f212,f3575]) ).
fof(f3575,plain,
( spl0_432
<=> ! [X4,X11,X14,X9] :
( X4 = X9
| c_Sum__Type_OInr(X4,X14,X11) != c_Sum__Type_OInr(X9,X14,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f212,axiom,
! [X11,X9,X14,X4] :
( X4 = X9
| c_Sum__Type_OInr(X4,X14,X11) != c_Sum__Type_OInr(X9,X14,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3573,plain,
spl0_431,
inference(avatar_split_clause,[],[f210,f3571]) ).
fof(f3571,plain,
( spl0_431
<=> ! [X4,X11,X14,X9] :
( X4 = X9
| c_Sum__Type_OInl(X4,X11,X14) != c_Sum__Type_OInl(X9,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f210,axiom,
! [X11,X9,X14,X4] :
( X4 = X9
| c_Sum__Type_OInl(X4,X11,X14) != c_Sum__Type_OInl(X9,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3569,plain,
spl0_430,
inference(avatar_split_clause,[],[f204,f3567]) ).
fof(f3567,plain,
( spl0_430
<=> ! [X15,X11,X13,X22] :
( X13 = X15
| c_insert(X13,X22,X11) != c_insert(X15,c_emptyset,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f204,axiom,
! [X11,X15,X22,X13] :
( X13 = X15
| c_insert(X13,X22,X11) != c_insert(X15,c_emptyset,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f3565,plain,
spl0_429,
inference(avatar_split_clause,[],[f190,f3563]) ).
fof(f3563,plain,
( spl0_429
<=> ! [X22,X11,X23] :
( ~ c_lessequals(X22,X23,tc_set(X11))
| c_in(X22,c_Pow(X23,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f190,axiom,
! [X11,X22,X23] :
( ~ c_lessequals(X22,X23,tc_set(X11))
| c_in(X22,c_Pow(X23,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3561,plain,
spl0_428,
inference(avatar_split_clause,[],[f189,f3559]) ).
fof(f3559,plain,
( spl0_428
<=> ! [X22,X11,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| ~ c_in(X22,c_Pow(X23,X11),tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f189,axiom,
! [X11,X22,X23] :
( c_lessequals(X22,X23,tc_set(X11))
| ~ c_in(X22,c_Pow(X23,X11),tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3557,plain,
spl0_427,
inference(avatar_split_clause,[],[f183,f3555]) ).
fof(f3555,plain,
( spl0_427
<=> ! [X40,X11,X23,X22] :
( c_in(X40,X22,X11)
| ~ c_in(X40,c_minus(X22,X23,tc_set(X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f183,axiom,
! [X40,X11,X22,X23] :
( c_in(X40,X22,X11)
| ~ c_in(X40,c_minus(X22,X23,tc_set(X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3553,plain,
spl0_426,
inference(avatar_split_clause,[],[f182,f3551]) ).
fof(f3551,plain,
( spl0_426
<=> ! [X40,X11,X23,X22] :
( ~ c_in(X40,X23,X11)
| ~ c_in(X40,c_minus(X22,X23,tc_set(X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f182,axiom,
! [X40,X11,X22,X23] :
( ~ c_in(X40,X23,X11)
| ~ c_in(X40,c_minus(X22,X23,tc_set(X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3549,plain,
spl0_425,
inference(avatar_split_clause,[],[f179,f3547]) ).
fof(f3547,plain,
( spl0_425
<=> ! [X22,X11,X23] :
( X22 = X23
| c_uminus(X22,tc_set(X11)) != c_uminus(X23,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f179,axiom,
! [X11,X22,X23] :
( X22 = X23
| c_uminus(X22,tc_set(X11)) != c_uminus(X23,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3545,plain,
spl0_424,
inference(avatar_split_clause,[],[f174,f3543]) ).
fof(f3543,plain,
( spl0_424
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| ~ c_less(X37,X18,X11)
| c_in(X37,c_SetInterval_OlessThan(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f174,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| ~ c_less(X37,X18,X11)
| c_in(X37,c_SetInterval_OlessThan(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3541,plain,
( spl0_423
| ~ spl0_293
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f3412,f3353,f2922,f3539]) ).
fof(f3539,plain,
( spl0_423
<=> ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f2922,plain,
( spl0_293
<=> ! [X22,X11] : c_lessequals(X22,X22,tc_set(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f3412,plain,
( ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1))
| ~ spl0_293
| ~ spl0_389 ),
inference(resolution,[],[f3354,f2923]) ).
fof(f2923,plain,
( ! [X11,X22] : c_lessequals(X22,X22,tc_set(X11))
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2922]) ).
fof(f3537,plain,
spl0_422,
inference(avatar_split_clause,[],[f173,f3535]) ).
fof(f3535,plain,
( spl0_422
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| c_less(X37,X18,X11)
| ~ c_in(X37,c_SetInterval_OlessThan(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f173,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| c_less(X37,X18,X11)
| ~ c_in(X37,c_SetInterval_OlessThan(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3533,plain,
spl0_421,
inference(avatar_split_clause,[],[f172,f3531]) ).
fof(f3531,plain,
( spl0_421
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OlessThan(X4,X11) != c_SetInterval_OlessThan(X9,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f172,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OlessThan(X4,X11) != c_SetInterval_OlessThan(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3529,plain,
spl0_420,
inference(avatar_split_clause,[],[f169,f3527]) ).
fof(f3527,plain,
( spl0_420
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| ~ c_less(X18,X37,X11)
| c_in(X37,c_SetInterval_OgreaterThan(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f169,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| ~ c_less(X18,X37,X11)
| c_in(X37,c_SetInterval_OgreaterThan(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3525,plain,
spl0_419,
inference(avatar_split_clause,[],[f168,f3523]) ).
fof(f3523,plain,
( spl0_419
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| c_less(X18,X37,X11)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f168,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| c_less(X18,X37,X11)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3521,plain,
spl0_418,
inference(avatar_split_clause,[],[f167,f3519]) ).
fof(f3519,plain,
( spl0_418
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OgreaterThan(X4,X11) != c_SetInterval_OgreaterThan(X9,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f167,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OgreaterThan(X4,X11) != c_SetInterval_OgreaterThan(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3517,plain,
spl0_417,
inference(avatar_split_clause,[],[f164,f3515]) ).
fof(f3515,plain,
( spl0_417
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| ~ c_lessequals(X37,X18,X11)
| c_in(X37,c_SetInterval_OatMost(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f164,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| ~ c_lessequals(X37,X18,X11)
| c_in(X37,c_SetInterval_OatMost(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3513,plain,
spl0_416,
inference(avatar_split_clause,[],[f163,f3511]) ).
fof(f3511,plain,
( spl0_416
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| c_lessequals(X37,X18,X11)
| ~ c_in(X37,c_SetInterval_OatMost(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f163,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| c_lessequals(X37,X18,X11)
| ~ c_in(X37,c_SetInterval_OatMost(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3509,plain,
spl0_415,
inference(avatar_split_clause,[],[f162,f3507]) ).
fof(f3507,plain,
( spl0_415
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OatMost(X4,X11) != c_SetInterval_OatMost(X9,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f162,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OatMost(X4,X11) != c_SetInterval_OatMost(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3505,plain,
spl0_414,
inference(avatar_split_clause,[],[f159,f3503]) ).
fof(f3503,plain,
( spl0_414
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| ~ c_lessequals(X18,X37,X11)
| c_in(X37,c_SetInterval_OatLeast(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f159,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| ~ c_lessequals(X18,X37,X11)
| c_in(X37,c_SetInterval_OatLeast(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3501,plain,
spl0_413,
inference(avatar_split_clause,[],[f158,f3499]) ).
fof(f3499,plain,
( spl0_413
<=> ! [X18,X37,X11] :
( ~ class_Orderings_Oord(X11)
| c_lessequals(X18,X37,X11)
| ~ c_in(X37,c_SetInterval_OatLeast(X18,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f158,axiom,
! [X11,X18,X37] :
( ~ class_Orderings_Oord(X11)
| c_lessequals(X18,X37,X11)
| ~ c_in(X37,c_SetInterval_OatLeast(X18,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3497,plain,
spl0_412,
inference(avatar_split_clause,[],[f157,f3495]) ).
fof(f3495,plain,
( spl0_412
<=> ! [X9,X11,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OatLeast(X4,X11) != c_SetInterval_OatLeast(X9,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f157,axiom,
! [X11,X9,X4] :
( ~ class_Orderings_Olinorder(X11)
| X4 = X9
| c_SetInterval_OatLeast(X4,X11) != c_SetInterval_OatLeast(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3493,plain,
spl0_411,
inference(avatar_split_clause,[],[f113,f3491]) ).
fof(f3491,plain,
( spl0_411
<=> ! [X11,X29,X28,X30] :
( X29 = X30
| c_append(X28,X29,X11) != c_append(X28,X30,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f113,axiom,
! [X28,X29,X11,X30] :
( X29 = X30
| c_append(X28,X29,X11) != c_append(X28,X30,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3489,plain,
spl0_410,
inference(avatar_split_clause,[],[f107,f3487]) ).
fof(f3487,plain,
( spl0_410
<=> ! [X35,X11,X13,X12,X36] :
( X35 = X36
| c_List_Olist_OCons(X12,X35,X11) != c_List_Olist_OCons(X13,X36,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f107,axiom,
! [X36,X11,X35,X12,X13] :
( X35 = X36
| c_List_Olist_OCons(X12,X35,X11) != c_List_Olist_OCons(X13,X36,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3485,plain,
spl0_409,
inference(avatar_split_clause,[],[f106,f3483]) ).
fof(f3483,plain,
( spl0_409
<=> ! [X35,X11,X13,X12,X36] :
( X12 = X13
| c_List_Olist_OCons(X12,X35,X11) != c_List_Olist_OCons(X13,X36,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f106,axiom,
! [X11,X36,X35,X12,X13] :
( X12 = X13
| c_List_Olist_OCons(X12,X35,X11) != c_List_Olist_OCons(X13,X36,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3481,plain,
spl0_408,
inference(avatar_split_clause,[],[f91,f3479]) ).
fof(f3479,plain,
( spl0_408
<=> ! [X11,X29,X28,X30] :
( X29 = X30
| c_append(X29,X28,X11) != c_append(X30,X28,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f91,axiom,
! [X28,X29,X11,X30] :
( X29 = X30
| c_append(X29,X28,X11) != c_append(X30,X28,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3477,plain,
spl0_407,
inference(avatar_split_clause,[],[f37,f3475]) ).
fof(f3475,plain,
( spl0_407
<=> ! [X17,X11,X14,X16] :
( X16 = X17
| c_Datatype__Universe_OIn1(X17,X11,X14) != c_Datatype__Universe_OIn1(X16,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f37,axiom,
! [X11,X16,X14,X17] :
( X16 = X17
| c_Datatype__Universe_OIn1(X17,X11,X14) != c_Datatype__Universe_OIn1(X16,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3473,plain,
spl0_406,
inference(avatar_split_clause,[],[f35,f3471]) ).
fof(f3471,plain,
( spl0_406
<=> ! [X17,X11,X14,X16] :
( X16 = X17
| c_Datatype__Universe_OIn0(X16,X11,X14) != c_Datatype__Universe_OIn0(X17,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f35,axiom,
! [X11,X16,X14,X17] :
( X16 = X17
| c_Datatype__Universe_OIn0(X16,X11,X14) != c_Datatype__Universe_OIn0(X17,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3469,plain,
spl0_405,
inference(avatar_split_clause,[],[f33,f3467]) ).
fof(f3467,plain,
( spl0_405
<=> ! [X11,X13,X14,X15] :
( X13 = X15
| c_Datatype__Universe_OAtom(X13,X11,X14) != c_Datatype__Universe_OAtom(X15,X11,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f33,axiom,
! [X11,X14,X15,X13] :
( X13 = X15
| c_Datatype__Universe_OAtom(X13,X11,X14) != c_Datatype__Universe_OAtom(X15,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3458,plain,
spl0_404,
inference(avatar_split_clause,[],[f200,f3456]) ).
fof(f3456,plain,
( spl0_404
<=> ! [X11,X13,X23,X15] :
( ~ c_in(X13,X23,X11)
| c_in(X13,c_insert(X15,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f200,axiom,
! [X11,X15,X23,X13] :
( ~ c_in(X13,X23,X11)
| c_in(X13,c_insert(X15,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3454,plain,
spl0_403,
inference(avatar_split_clause,[],[f193,f3452]) ).
fof(f3452,plain,
( spl0_403
<=> ! [X40,X11,X23,X22] :
( ~ c_in(X40,X22,X11)
| c_in(X40,c_union(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f193,axiom,
! [X40,X11,X22,X23] :
( ~ c_in(X40,X22,X11)
| c_in(X40,c_union(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3450,plain,
spl0_402,
inference(avatar_split_clause,[],[f192,f3448]) ).
fof(f3448,plain,
( spl0_402
<=> ! [X40,X11,X23,X22] :
( ~ c_in(X40,X23,X11)
| c_in(X40,c_union(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f192,axiom,
! [X40,X11,X22,X23] :
( ~ c_in(X40,X23,X11)
| c_in(X40,c_union(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3446,plain,
spl0_401,
inference(avatar_split_clause,[],[f186,f3444]) ).
fof(f3444,plain,
( spl0_401
<=> ! [X40,X11,X23,X22] :
( c_in(X40,X22,X11)
| ~ c_in(X40,c_inter(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f186,axiom,
! [X40,X11,X22,X23] :
( c_in(X40,X22,X11)
| ~ c_in(X40,c_inter(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3442,plain,
spl0_400,
inference(avatar_split_clause,[],[f185,f3440]) ).
fof(f3440,plain,
( spl0_400
<=> ! [X40,X11,X23,X22] :
( c_in(X40,X23,X11)
| ~ c_in(X40,c_inter(X22,X23,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f185,axiom,
! [X40,X11,X22,X23] :
( c_in(X40,X23,X11)
| ~ c_in(X40,c_inter(X22,X23,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3438,plain,
spl0_399,
inference(avatar_split_clause,[],[f178,f3436]) ).
fof(f3436,plain,
( spl0_399
<=> ! [X22,X11,X40] :
( c_in(X40,X22,X11)
| c_in(X40,c_uminus(X22,tc_set(X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f178,axiom,
! [X40,X11,X22] :
( c_in(X40,X22,X11)
| c_in(X40,c_uminus(X22,tc_set(X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3434,plain,
spl0_398,
inference(avatar_split_clause,[],[f177,f3432]) ).
fof(f3432,plain,
( spl0_398
<=> ! [X22,X11,X40] :
( ~ c_in(X40,X22,X11)
| ~ c_in(X40,c_uminus(X22,tc_set(X11)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f177,axiom,
! [X40,X11,X22] :
( ~ c_in(X40,X22,X11)
| ~ c_in(X40,c_uminus(X22,tc_set(X11)),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3430,plain,
spl0_397,
inference(avatar_split_clause,[],[f131,f3428]) ).
fof(f3428,plain,
( spl0_397
<=> ! [X21,X26] :
( ~ c_less(c_0,X26,tc_nat)
| c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f131,axiom,
! [X21,X26] :
( ~ c_less(c_0,X26,tc_nat)
| c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3426,plain,
spl0_396,
inference(avatar_split_clause,[],[f130,f3424]) ).
fof(f3424,plain,
( spl0_396
<=> ! [X21,X26] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f130,axiom,
! [X21,X26] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X21,X26,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3422,plain,
spl0_395,
inference(avatar_split_clause,[],[f26,f3420]) ).
fof(f3420,plain,
( spl0_395
<=> ! [X4,X11,X10] :
( c_Datatype_Ooption_OSome(X4,X11) = X10
| ~ c_in(X4,c_Datatype_Oo2s(X10,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f26,axiom,
! [X10,X11,X4] :
( c_Datatype_Ooption_OSome(X4,X11) = X10
| ~ c_in(X4,c_Datatype_Oo2s(X10,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3417,plain,
( spl0_394
| ~ spl0_343
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f3368,f3265,f3146,f3415]) ).
fof(f3146,plain,
( spl0_343
<=> ! [X60,X59,X47] :
( ~ c_in(c_Pair(X47,X59,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X60,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X59,v_x(X47,X59,X60),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f3265,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(f3368,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_Ocomb_OS,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_343
| ~ spl0_367 ),
inference(resolution,[],[f3266,f3147]) ).
fof(f3147,plain,
( ! [X59,X47,X60] :
( c_in(c_Pair(X59,v_x(X47,X59,X60),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X60,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X59,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f3146]) ).
fof(f3266,plain,
( ! [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))
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f3397,plain,
( spl0_393
| ~ spl0_343
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f3366,f3261,f3146,f3395]) ).
fof(f3261,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(f3366,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_343
| ~ spl0_366 ),
inference(resolution,[],[f3262,f3147]) ).
fof(f3262,plain,
( ! [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))
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f3261]) ).
fof(f3375,plain,
( spl0_392
| ~ spl0_343
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f3364,f3257,f3146,f3373]) ).
fof(f3257,plain,
( spl0_365
<=> ! [X3] : ~ c_in(c_Pair(c_Comb_OI,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_365])]) ).
fof(f3364,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,c_Comb_OI,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_343
| ~ spl0_365 ),
inference(resolution,[],[f3258,f3147]) ).
fof(f3258,plain,
( ! [X3] : ~ c_in(c_Pair(c_Comb_OI,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f3363,plain,
spl0_391,
inference(avatar_split_clause,[],[f328,f3361]) ).
fof(f3361,plain,
( spl0_391
<=> ! [X13,X11,X15] :
( X13 = X15
| ~ c_in(X15,c_insert(X13,c_emptyset,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f328,axiom,
! [X11,X15,X13] :
( X13 = X15
| ~ c_in(X15,c_insert(X13,c_emptyset,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3359,plain,
spl0_390,
inference(avatar_split_clause,[],[f326,f3357]) ).
fof(f3357,plain,
( spl0_390
<=> ! [X22,X11,X23] :
( ~ c_less(X22,X23,tc_set(X11))
| c_lessequals(X22,X23,tc_set(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f326,axiom,
! [X11,X22,X23] :
( ~ c_less(X22,X23,tc_set(X11))
| c_lessequals(X22,X23,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3355,plain,
spl0_389,
inference(avatar_split_clause,[],[f325,f3353]) ).
fof(f325,axiom,
! [X11,X22,X23] :
( ~ c_less(X22,X23,tc_set(X11))
| ~ c_lessequals(X23,X22,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3351,plain,
spl0_388,
inference(avatar_split_clause,[],[f151,f3349]) ).
fof(f3349,plain,
( spl0_388
<=> ! [X13,X11] : c_in(c_Pair(X13,X13,X11,X11),c_Relation_OId,tc_prod(X11,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f151,axiom,
! [X11,X13] : c_in(c_Pair(X13,X13,X11,X11),c_Relation_OId,tc_prod(X11,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3347,plain,
spl0_387,
inference(avatar_split_clause,[],[f126,f3345]) ).
fof(f3345,plain,
( spl0_387
<=> ! [X21,X26] :
( ~ c_less(X21,X26,tc_nat)
| c_less(c_Suc(X21),c_Suc(X26),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f126,axiom,
! [X21,X26] :
( ~ c_less(X21,X26,tc_nat)
| c_less(c_Suc(X21),c_Suc(X26),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3343,plain,
spl0_386,
inference(avatar_split_clause,[],[f125,f3341]) ).
fof(f3341,plain,
( spl0_386
<=> ! [X21,X26] :
( c_less(X21,X26,tc_nat)
| ~ c_less(c_Suc(X21),c_Suc(X26),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f125,axiom,
! [X21,X26] :
( c_less(X21,X26,tc_nat)
| ~ c_less(c_Suc(X21),c_Suc(X26),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3339,plain,
spl0_385,
inference(avatar_split_clause,[],[f124,f3337]) ).
fof(f3337,plain,
( spl0_385
<=> ! [X21,X26] :
( ~ c_lessequals(X26,X21,tc_nat)
| c_lessequals(c_Suc(X26),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f124,axiom,
! [X21,X26] :
( ~ c_lessequals(X26,X21,tc_nat)
| c_lessequals(c_Suc(X26),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3335,plain,
spl0_384,
inference(avatar_split_clause,[],[f123,f3333]) ).
fof(f3333,plain,
( spl0_384
<=> ! [X21,X26] :
( c_lessequals(X26,X21,tc_nat)
| ~ c_lessequals(c_Suc(X26),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f123,axiom,
! [X21,X26] :
( c_lessequals(X26,X21,tc_nat)
| ~ c_lessequals(c_Suc(X26),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3331,plain,
spl0_383,
inference(avatar_split_clause,[],[f112,f3329]) ).
fof(f3329,plain,
( spl0_383
<=> ! [X29,X28,X11] :
( X28 = X29
| c_List_Orev(X28,X11) != c_List_Orev(X29,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f112,axiom,
! [X28,X29,X11] :
( X28 = X29
| c_List_Orev(X28,X11) != c_List_Orev(X29,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3327,plain,
spl0_382,
inference(avatar_split_clause,[],[f101,f3325]) ).
fof(f3325,plain,
( spl0_382
<=> ! [X11,X28] :
( c_List_Olist_ONil = X28
| c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X11)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f101,axiom,
! [X28,X11] :
( c_List_Olist_ONil = X28
| c_less(c_0,c_Nat_Osize(X28,tc_List_Olist(X11)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3323,plain,
spl0_381,
inference(avatar_split_clause,[],[f97,f3321]) ).
fof(f3321,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(f97,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(f3319,plain,
spl0_380,
inference(avatar_split_clause,[],[f96,f3317]) ).
fof(f3317,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(f96,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(f3315,plain,
spl0_379,
inference(avatar_split_clause,[],[f75,f3313]) ).
fof(f3313,plain,
( spl0_379
<=> ! [X27,X3] :
( ~ c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X3,tc_IntDef_Oint),X27,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f75,axiom,
! [X3,X27] :
( ~ c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X3,tc_IntDef_Oint),X27,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3311,plain,
spl0_378,
inference(avatar_split_clause,[],[f74,f3309]) ).
fof(f74,axiom,
! [X3,X27] :
( c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X3,tc_IntDef_Oint),X27,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3307,plain,
spl0_377,
inference(avatar_split_clause,[],[f71,f3305]) ).
fof(f71,axiom,
! [X3,X27] :
( ~ c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X3,c_uminus(X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3303,plain,
spl0_376,
inference(avatar_split_clause,[],[f70,f3301]) ).
fof(f3301,plain,
( spl0_376
<=> ! [X27,X3] :
( c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X3,c_uminus(X27,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f70,axiom,
! [X3,X27] :
( c_Divides_Oop_Advd(X3,X27,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X3,c_uminus(X27,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3299,plain,
spl0_375,
inference(avatar_split_clause,[],[f42,f3297]) ).
fof(f3297,plain,
( spl0_375
<=> ! [X18,X11,X14,X16,X17] : c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_ONumb(X18,X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f42,axiom,
! [X11,X18,X16,X14,X17] : c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_ONumb(X18,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
fof(f3295,plain,
spl0_374,
inference(avatar_split_clause,[],[f40,f3293]) ).
fof(f3293,plain,
( spl0_374
<=> ! [X17,X11,X13,X14,X16] : c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OLeaf(X13,X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f40,axiom,
! [X11,X16,X14,X17,X13] : c_Datatype__Universe_OScons(X16,X17,X11,X14) != c_Datatype__Universe_OLeaf(X13,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f3291,plain,
spl0_373,
inference(avatar_split_clause,[],[f34,f3289]) ).
fof(f3289,plain,
( spl0_373
<=> ! [X17,X11,X14,X13,X16] : c_Datatype__Universe_OAtom(X13,X11,X14) != c_Datatype__Universe_OScons(X16,X17,X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f34,axiom,
! [X11,X16,X14,X17,X13] : c_Datatype__Universe_OAtom(X13,X11,X14) != c_Datatype__Universe_OScons(X16,X17,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3287,plain,
spl0_372,
inference(avatar_split_clause,[],[f32,f3285]) ).
fof(f3285,plain,
( spl0_372
<=> ! [X13,X12,X11] :
( X12 = X13
| c_Datatype_Ooption_OSome(X12,X11) != c_Datatype_Ooption_OSome(X13,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f32,axiom,
! [X11,X12,X13] :
( X12 = X13
| c_Datatype_Ooption_OSome(X12,X11) != c_Datatype_Ooption_OSome(X13,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3283,plain,
spl0_371,
inference(avatar_split_clause,[],[f29,f3281]) ).
fof(f3281,plain,
( spl0_371
<=> ! [X4,X11] :
( c_Datatype_Ooption_ONone = X4
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X4,X11),X11) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f29,axiom,
! [X11,X4] :
( c_Datatype_Ooption_ONone = X4
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X4,X11),X11) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3279,plain,
spl0_370,
inference(avatar_split_clause,[],[f28,f3277]) ).
fof(f3277,plain,
( spl0_370
<=> ! [X4,X11] :
( c_Datatype_Ooption_ONone = X4
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X4,X11),X11) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f28,axiom,
! [X11,X4] :
( c_Datatype_Ooption_ONone = X4
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X4,X11),X11) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3275,plain,
spl0_369,
inference(avatar_split_clause,[],[f21,f3273]) ).
fof(f3273,plain,
( spl0_369
<=> ! [X6,X5,X8,X7] :
( X6 = X8
| c_Comb_Ocomb_Oop_A_D_D(X5,X6) != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f21,axiom,
! [X8,X6,X7,X5] :
( X6 = X8
| c_Comb_Ocomb_Oop_A_D_D(X5,X6) != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_1) ).
fof(f3271,plain,
spl0_368,
inference(avatar_split_clause,[],[f20,f3269]) ).
fof(f3269,plain,
( spl0_368
<=> ! [X5,X7,X6,X8] :
( X5 = X7
| c_Comb_Ocomb_Oop_A_D_D(X5,X6) != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f20,axiom,
! [X8,X6,X7,X5] :
( X5 = X7
| c_Comb_Ocomb_Oop_A_D_D(X5,X6) != c_Comb_Ocomb_Oop_A_D_D(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_0) ).
fof(f3267,plain,
spl0_367,
inference(avatar_split_clause,[],[f13,f3265]) ).
fof(f13,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(f3263,plain,
spl0_366,
inference(avatar_split_clause,[],[f12,f3261]) ).
fof(f12,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(f3259,plain,
spl0_365,
inference(avatar_split_clause,[],[f9,f3257]) ).
fof(f9,axiom,
! [X3] : ~ c_in(c_Pair(c_Comb_OI,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_OI__contract__E_0) ).
fof(f3238,plain,
spl0_364,
inference(avatar_split_clause,[],[f286,f3236]) ).
fof(f3236,plain,
( spl0_364
<=> ! [X2,X11] :
( ~ c_Wellfounded__Recursion_Owf(X2,X11)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X2,X11),tc_List_Olist(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f286,axiom,
! [X2,X11] :
( ~ c_Wellfounded__Recursion_Owf(X2,X11)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X2,X11),tc_List_Olist(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3232,plain,
spl0_363,
inference(avatar_split_clause,[],[f285,f3230]) ).
fof(f3230,plain,
( spl0_363
<=> ! [X2,X11] :
( ~ c_Wellfounded__Recursion_Owf(X2,X11)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X2,X11),tc_List_Olist(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f285,axiom,
! [X2,X11] :
( ~ c_Wellfounded__Recursion_Owf(X2,X11)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X2,X11),tc_List_Olist(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3228,plain,
spl0_362,
inference(avatar_split_clause,[],[f261,f3226]) ).
fof(f3226,plain,
( spl0_362
<=> ! [X21,X26] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X26)),tc_IntDef_Oint),c_IntDef_Oint(X21),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f261,axiom,
! [X21,X26] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X26)),tc_IntDef_Oint),c_IntDef_Oint(X21),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3224,plain,
spl0_361,
inference(avatar_split_clause,[],[f258,f3222]) ).
fof(f3222,plain,
( spl0_361
<=> ! [X21,X26] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),X26,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f258,axiom,
! [X21,X26] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),X26,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3220,plain,
spl0_360,
inference(avatar_split_clause,[],[f257,f3218]) ).
fof(f3218,plain,
( spl0_360
<=> ! [X21,X26] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f257,axiom,
! [X21,X26] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X21,X26,tc_nat,tc_nat)),X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3216,plain,
spl0_359,
inference(avatar_split_clause,[],[f215,f3214]) ).
fof(f3214,plain,
( spl0_359
<=> ! [X2,X11] :
( ~ c_Wellfounded__Recursion_Oacyclic(X2,X11)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X11,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f215,axiom,
! [X2,X11] :
( ~ c_Wellfounded__Recursion_Oacyclic(X2,X11)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X11,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3212,plain,
spl0_358,
inference(avatar_split_clause,[],[f214,f3210]) ).
fof(f3210,plain,
( spl0_358
<=> ! [X2,X11] :
( c_Wellfounded__Recursion_Oacyclic(X2,X11)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X11,X11),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f214,axiom,
! [X2,X11] :
( c_Wellfounded__Recursion_Oacyclic(X2,X11)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X2,X11,X11),X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3208,plain,
spl0_357,
inference(avatar_split_clause,[],[f211,f3206]) ).
fof(f3206,plain,
( spl0_357
<=> ! [X13,X11,X14,X15] : c_Sum__Type_OInl(X13,X11,X14) != c_Sum__Type_OInr(X15,X14,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f211,axiom,
! [X11,X14,X15,X13] : c_Sum__Type_OInl(X13,X11,X14) != c_Sum__Type_OInr(X15,X14,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f3204,plain,
spl0_356,
inference(avatar_split_clause,[],[f196,f3202]) ).
fof(f3202,plain,
( spl0_356
<=> ! [X22,X11,X23] :
( c_emptyset = X23
| c_emptyset != c_union(X22,X23,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f196,axiom,
! [X11,X22,X23] :
( c_emptyset = X23
| c_emptyset != c_union(X22,X23,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3200,plain,
spl0_355,
inference(avatar_split_clause,[],[f195,f3198]) ).
fof(f3198,plain,
( spl0_355
<=> ! [X22,X11,X23] :
( c_emptyset = X22
| c_emptyset != c_union(X22,X23,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f195,axiom,
! [X11,X22,X23] :
( c_emptyset = X22
| c_emptyset != c_union(X22,X23,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3196,plain,
spl0_354,
inference(avatar_split_clause,[],[f133,f3194]) ).
fof(f3194,plain,
( spl0_354
<=> ! [X21,X26] :
( c_0 = X26
| c_0 != c_plus(X21,X26,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f133,axiom,
! [X21,X26] :
( c_0 = X26
| c_0 != c_plus(X21,X26,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3190,plain,
spl0_353,
inference(avatar_split_clause,[],[f132,f3188]) ).
fof(f3188,plain,
( spl0_353
<=> ! [X21,X26] :
( c_0 = X21
| c_0 != c_plus(X21,X26,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f132,axiom,
! [X21,X26] :
( c_0 = X21
| c_0 != c_plus(X21,X26,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3186,plain,
spl0_352,
inference(avatar_split_clause,[],[f116,f3184]) ).
fof(f3184,plain,
( spl0_352
<=> ! [X29,X28,X11] :
( c_List_Olist_ONil = X29
| c_append(X28,X29,X11) != X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f116,axiom,
! [X28,X29,X11] :
( c_List_Olist_ONil = X29
| c_append(X28,X29,X11) != X28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3182,plain,
spl0_351,
inference(avatar_split_clause,[],[f98,f3180]) ).
fof(f3180,plain,
( spl0_351
<=> ! [X11,X28] :
( c_List_Olist_ONil = X28
| c_0 != c_Nat_Osize(X28,tc_List_Olist(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f98,axiom,
! [X28,X11] :
( c_List_Olist_ONil = X28
| c_0 != c_Nat_Osize(X28,tc_List_Olist(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3178,plain,
spl0_350,
inference(avatar_split_clause,[],[f92,f3176]) ).
fof(f3176,plain,
( spl0_350
<=> ! [X29,X28,X11] :
( c_List_Olist_ONil = X28
| c_append(X28,X29,X11) != X29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f92,axiom,
! [X28,X29,X11] :
( c_List_Olist_ONil = X28
| c_append(X28,X29,X11) != X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff1_0) ).
fof(f3174,plain,
spl0_349,
inference(avatar_split_clause,[],[f78,f3172]) ).
fof(f3172,plain,
( spl0_349
<=> ! [X29,X11,X28] :
( c_List_Olist_ONil = X29
| c_List_Olist_ONil != c_append(X28,X29,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f78,axiom,
! [X28,X29,X11] :
( c_List_Olist_ONil = X29
| c_List_Olist_ONil != c_append(X28,X29,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_1) ).
fof(f3170,plain,
spl0_348,
inference(avatar_split_clause,[],[f77,f3168]) ).
fof(f3168,plain,
( spl0_348
<=> ! [X11,X29,X28] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X28,X29,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f77,axiom,
! [X28,X29,X11] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X28,X29,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f3166,plain,
spl0_347,
inference(avatar_split_clause,[],[f52,f3164]) ).
fof(f3164,plain,
( spl0_347
<=> ! [X22,X2,X11] :
( c_emptyset = X22
| c_emptyset != c_Equiv__Relations_Oquotient(X22,X2,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f52,axiom,
! [X2,X11,X22] :
( c_emptyset = X22
| c_emptyset != c_Equiv__Relations_Oquotient(X22,X2,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).
fof(f3162,plain,
spl0_346,
inference(avatar_split_clause,[],[f41,f3160]) ).
fof(f3160,plain,
( spl0_346
<=> ! [X13,X18,X11,X14] : c_Datatype__Universe_OLeaf(X13,X11,X14) != c_Datatype__Universe_ONumb(X18,X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f41,axiom,
! [X11,X18,X14,X13] : c_Datatype__Universe_OLeaf(X13,X11,X14) != c_Datatype__Universe_ONumb(X18,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3158,plain,
spl0_345,
inference(avatar_split_clause,[],[f38,f3156]) ).
fof(f3156,plain,
( spl0_345
<=> ! [X16,X11,X14,X17] : c_Datatype__Universe_OIn0(X16,X11,X14) != c_Datatype__Universe_OIn1(X17,X11,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f38,axiom,
! [X11,X16,X14,X17] : c_Datatype__Universe_OIn0(X16,X11,X14) != c_Datatype__Universe_OIn1(X17,X11,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3152,plain,
spl0_344,
inference(avatar_split_clause,[],[f1389,f3150]) ).
fof(f3150,plain,
( spl0_344
<=> ! [X60,X59,X47] :
( ~ c_in(c_Pair(X47,X59,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X60,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X60,v_x(X47,X59,X60),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f1389,axiom,
! [X59,X47,X60] :
( ~ c_in(c_Pair(X47,X59,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X60,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X60,v_x(X47,X59,X60),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_conjecture_1) ).
fof(f3148,plain,
spl0_343,
inference(avatar_split_clause,[],[f1388,f3146]) ).
fof(f1388,axiom,
! [X59,X47,X60] :
( ~ c_in(c_Pair(X47,X59,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X47,X60,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X59,v_x(X47,X59,X60),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_conjecture_0) ).
fof(f3144,plain,
( spl0_342
| ~ spl0_306
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f3048,f3015,f2975,f3142]) ).
fof(f3142,plain,
( spl0_342
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f3048,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_316 ),
inference(resolution,[],[f3016,f2976]) ).
fof(f3133,plain,
( spl0_341
| ~ spl0_306
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f3047,f3011,f2975,f3131]) ).
fof(f3131,plain,
( spl0_341
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f3047,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_315 ),
inference(resolution,[],[f3012,f2976]) ).
fof(f3129,plain,
spl0_340,
inference(avatar_split_clause,[],[f475,f3127]) ).
fof(f3127,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f475,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(f3125,plain,
spl0_339,
inference(avatar_split_clause,[],[f469,f3123]) ).
fof(f3123,plain,
( spl0_339
<=> ! [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_339])]) ).
fof(f469,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(f3121,plain,
spl0_338,
inference(avatar_split_clause,[],[f419,f3119]) ).
fof(f3119,plain,
( spl0_338
<=> ! [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_338])]) ).
fof(f419,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(f3117,plain,
spl0_337,
inference(avatar_split_clause,[],[f317,f3115]) ).
fof(f3115,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f317,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(f3113,plain,
spl0_336,
inference(avatar_split_clause,[],[f316,f3111]) ).
fof(f3111,plain,
( spl0_336
<=> ! [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_336])]) ).
fof(f316,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(f3109,plain,
spl0_335,
inference(avatar_split_clause,[],[f315,f3107]) ).
fof(f3107,plain,
( spl0_335
<=> ! [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_335])]) ).
fof(f315,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(f3105,plain,
spl0_334,
inference(avatar_split_clause,[],[f314,f3103]) ).
fof(f3103,plain,
( spl0_334
<=> ! [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_334])]) ).
fof(f314,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(f3101,plain,
spl0_333,
inference(avatar_split_clause,[],[f312,f3099]) ).
fof(f3099,plain,
( spl0_333
<=> ! [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_333])]) ).
fof(f312,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(f3097,plain,
spl0_332,
inference(avatar_split_clause,[],[f311,f3095]) ).
fof(f3095,plain,
( spl0_332
<=> ! [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_332])]) ).
fof(f311,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(f3093,plain,
( spl0_331
| ~ spl0_305
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f3046,f3007,f2971,f3091]) ).
fof(f3091,plain,
( spl0_331
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f2971,plain,
( spl0_305
<=> ! [X21] :
( c_0 = X21
| ~ c_Divides_Oop_Advd(c_0,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3007,plain,
( spl0_314
<=> ! [X18,X21] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3046,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_305
| ~ spl0_314 ),
inference(resolution,[],[f3008,f2972]) ).
fof(f2972,plain,
( ! [X21] :
( ~ c_Divides_Oop_Advd(c_0,X21,tc_nat)
| c_0 = X21 )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2971]) ).
fof(f3008,plain,
( ! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_nat),tc_nat)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f3089,plain,
spl0_330,
inference(avatar_split_clause,[],[f310,f3087]) ).
fof(f3087,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f310,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(f3085,plain,
spl0_329,
inference(avatar_split_clause,[],[f309,f3083]) ).
fof(f3083,plain,
( spl0_329
<=> ! [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_329])]) ).
fof(f309,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(f3081,plain,
spl0_328,
inference(avatar_split_clause,[],[f260,f3079]) ).
fof(f3079,plain,
( spl0_328
<=> ! [X21,X26] : c_lessequals(c_uminus(c_IntDef_Oint(X26),tc_IntDef_Oint),c_IntDef_Oint(X21),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f260,axiom,
! [X21,X26] : c_lessequals(c_uminus(c_IntDef_Oint(X26),tc_IntDef_Oint),c_IntDef_Oint(X21),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3077,plain,
spl0_327,
inference(avatar_split_clause,[],[f137,f3075]) ).
fof(f3075,plain,
( spl0_327
<=> ! [X26] :
( c_0 = X26
| ~ c_less(X26,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f137,axiom,
! [X26] :
( c_0 = X26
| ~ c_less(X26,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3073,plain,
spl0_326,
inference(avatar_split_clause,[],[f122,f3071]) ).
fof(f3071,plain,
( spl0_326
<=> ! [X21,X26] :
( X21 = X26
| c_Suc(X21) != c_Suc(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f122,axiom,
! [X21,X26] :
( X21 = X26
| c_Suc(X21) != c_Suc(X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3069,plain,
spl0_325,
inference(avatar_split_clause,[],[f118,f3067]) ).
fof(f3067,plain,
( spl0_325
<=> ! [X11,X28] :
( c_List_Olist_ONil = X28
| c_emptyset != c_List_Oset(X28,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f118,axiom,
! [X28,X11] :
( c_List_Olist_ONil = X28
| c_emptyset != c_List_Oset(X28,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff1_0) ).
fof(f3065,plain,
spl0_324,
inference(avatar_split_clause,[],[f80,f3063]) ).
fof(f3063,plain,
( spl0_324
<=> ! [X11,X28] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_List_Orev(X28,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f80,axiom,
! [X28,X11] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_List_Orev(X28,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f3061,plain,
spl0_323,
inference(avatar_split_clause,[],[f69,f3059]) ).
fof(f3059,plain,
( spl0_323
<=> ! [X21,X26] :
( X21 = X26
| c_IntDef_Oint(X21) != c_IntDef_Oint(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f69,axiom,
! [X21,X26] :
( X21 = X26
| c_IntDef_Oint(X21) != c_IntDef_Oint(X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3057,plain,
spl0_322,
inference(avatar_split_clause,[],[f27,f3055]) ).
fof(f3055,plain,
( spl0_322
<=> ! [X4,X11] : c_in(X4,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X4,X11),X11),X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f27,axiom,
! [X11,X4] : c_in(X4,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X4,X11),X11),X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3053,plain,
( spl0_321
| ~ spl0_305
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3045,f3003,f2971,f3051]) ).
fof(f3051,plain,
( spl0_321
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f3003,plain,
( spl0_313
<=> ! [X18,X21] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3045,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_305
| ~ spl0_313 ),
inference(resolution,[],[f3004,f2972]) ).
fof(f3004,plain,
( ! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_nat),tc_nat)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3033,plain,
spl0_320,
inference(avatar_split_clause,[],[f318,f3031]) ).
fof(f3031,plain,
( spl0_320
<=> ! [X18] : c_in(c_SetInterval_OlessThan(X18,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f318,axiom,
! [X18] : c_in(c_SetInterval_OlessThan(X18,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3029,plain,
spl0_319,
inference(avatar_split_clause,[],[f313,f3027]) ).
fof(f3027,plain,
( spl0_319
<=> ! [X18] : c_in(c_SetInterval_OatMost(X18,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f313,axiom,
! [X18] : c_in(c_SetInterval_OatMost(X18,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3025,plain,
spl0_318,
inference(avatar_split_clause,[],[f284,f3023]) ).
fof(f3023,plain,
( spl0_318
<=> ! [X22,X11] : c_in(c_List_Olist_ONil,c_List_Olists(X22,X11),tc_List_Olist(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f284,axiom,
! [X11,X22] : c_in(c_List_Olist_ONil,c_List_Olists(X22,X11),tc_List_Olist(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3021,plain,
spl0_317,
inference(avatar_split_clause,[],[f268,f3019]) ).
fof(f3019,plain,
( spl0_317
<=> ! [X11,X28] : c_in(c_List_Oset(X28,X11),c_Finite__Set_OFinites,tc_set(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f268,axiom,
! [X28,X11] : c_in(c_List_Oset(X28,X11),c_Finite__Set_OFinites,tc_set(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3017,plain,
spl0_316,
inference(avatar_split_clause,[],[f265,f3015]) ).
fof(f265,axiom,
! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3013,plain,
spl0_315,
inference(avatar_split_clause,[],[f264,f3011]) ).
fof(f264,axiom,
! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3009,plain,
spl0_314,
inference(avatar_split_clause,[],[f249,f3007]) ).
fof(f249,axiom,
! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X21,X18,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3005,plain,
spl0_313,
inference(avatar_split_clause,[],[f248,f3003]) ).
fof(f248,axiom,
! [X21,X18] : c_Divides_Oop_Advd(X18,c_times(X18,X21,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f3001,plain,
spl0_312,
inference(avatar_split_clause,[],[f201,f2999]) ).
fof(f2999,plain,
( spl0_312
<=> ! [X4,X11,X23] : c_in(X4,c_insert(X4,X23,X11),X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f201,axiom,
! [X11,X4,X23] : c_in(X4,c_insert(X4,X23,X11),X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f2997,plain,
spl0_311,
inference(avatar_split_clause,[],[f144,f2995]) ).
fof(f2995,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(f144,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(f2993,plain,
spl0_310,
inference(avatar_split_clause,[],[f143,f2991]) ).
fof(f2991,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(f143,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(f2989,plain,
spl0_309,
inference(avatar_split_clause,[],[f141,f2987]) ).
fof(f2987,plain,
( spl0_309
<=> ! [X26] :
( c_0 = X26
| c_less(c_0,X26,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f141,axiom,
! [X26] :
( c_0 = X26
| c_less(c_0,X26,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f2985,plain,
spl0_308,
inference(avatar_split_clause,[],[f139,f2983]) ).
fof(f2983,plain,
( spl0_308
<=> ! [X26] :
( c_0 = X26
| ~ c_less(X26,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f139,axiom,
! [X26] :
( c_0 = X26
| ~ c_less(X26,c_1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f2981,plain,
spl0_307,
inference(avatar_split_clause,[],[f135,f2979]) ).
fof(f2979,plain,
( spl0_307
<=> ! [X37] :
( c_0 = X37
| ~ c_lessequals(X37,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f135,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(f2977,plain,
spl0_306,
inference(avatar_split_clause,[],[f72,f2975]) ).
fof(f72,axiom,
! [X21] :
( c_0 = X21
| ~ c_Divides_Oop_Advd(c_0,X21,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f2973,plain,
spl0_305,
inference(avatar_split_clause,[],[f48,f2971]) ).
fof(f48,axiom,
! [X21] :
( c_0 = X21
| ~ c_Divides_Oop_Advd(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f2969,plain,
spl0_304,
inference(avatar_split_clause,[],[f291,f2967]) ).
fof(f2967,plain,
( spl0_304
<=> ! [X4,X11] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X4,X4,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f291,axiom,
! [X11,X4] :
( ~ class_Orderings_Oorder(X11)
| c_lessequals(X4,X4,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2965,plain,
spl0_303,
inference(avatar_split_clause,[],[f197,f2963]) ).
fof(f2963,plain,
( spl0_303
<=> ! [X11] : c_emptyset = c_union(c_emptyset,c_emptyset,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f197,axiom,
! [X11] : c_emptyset = c_union(c_emptyset,c_emptyset,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f2961,plain,
spl0_302,
inference(avatar_split_clause,[],[f148,f2959]) ).
fof(f2959,plain,
( spl0_302
<=> ! [X4,X11] :
( ~ class_Orderings_Oorder(X11)
| ~ c_less(X4,X4,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f148,axiom,
! [X11,X4] :
( ~ class_Orderings_Oorder(X11)
| ~ c_less(X4,X4,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f2957,plain,
spl0_301,
inference(avatar_split_clause,[],[f134,f2954]) ).
fof(f2954,plain,
( spl0_301
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f134,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(f2952,plain,
spl0_300,
inference(avatar_split_clause,[],[f115,f2950]) ).
fof(f2950,plain,
( spl0_300
<=> ! [X29,X11] : c_append(c_List_Olist_ONil,X29,X11) = X29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f115,axiom,
! [X29,X11] : c_append(c_List_Olist_ONil,X29,X11) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff2_0) ).
fof(f2948,plain,
spl0_299,
inference(avatar_split_clause,[],[f105,f2946]) ).
fof(f2946,plain,
( spl0_299
<=> ! [X12,X11,X35] : c_List_Olist_ONil != c_List_Olist_OCons(X12,X35,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f105,axiom,
! [X11,X35,X12] : c_List_Olist_ONil != c_List_Olist_OCons(X12,X35,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f2944,plain,
spl0_298,
inference(avatar_split_clause,[],[f99,f2942]) ).
fof(f2942,plain,
( spl0_298
<=> ! [X11] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f99,axiom,
! [X11] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2940,plain,
spl0_297,
inference(avatar_split_clause,[],[f95,f2938]) ).
fof(f2938,plain,
( spl0_297
<=> ! [X11,X28] : c_append(X28,c_List_Olist_ONil,X11) = X28 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f95,axiom,
! [X28,X11] : c_append(X28,c_List_Olist_ONil,X11) = X28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f2936,plain,
spl0_296,
inference(avatar_split_clause,[],[f53,f2934]) ).
fof(f2934,plain,
( spl0_296
<=> ! [X2,X11] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X2,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f53,axiom,
! [X2,X11] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X2,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f2932,plain,
spl0_295,
inference(avatar_split_clause,[],[f473,f2930]) ).
fof(f2930,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(f473,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(f2928,plain,
spl0_294,
inference(avatar_split_clause,[],[f351,f2926]) ).
fof(f2926,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(f351,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(f2924,plain,
spl0_293,
inference(avatar_split_clause,[],[f335,f2922]) ).
fof(f335,axiom,
! [X11,X22] : c_lessequals(X22,X22,tc_set(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2920,plain,
spl0_292,
inference(avatar_split_clause,[],[f324,f2918]) ).
fof(f324,axiom,
! [X11,X22] : c_lessequals(c_emptyset,X22,tc_set(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2916,plain,
spl0_291,
inference(avatar_split_clause,[],[f290,f2914]) ).
fof(f2914,plain,
( spl0_291
<=> ! [X26] : c_less(c_0,c_Suc(X26),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f290,axiom,
! [X26] : c_less(c_0,c_Suc(X26),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2912,plain,
spl0_290,
inference(avatar_split_clause,[],[f288,f2910]) ).
fof(f2910,plain,
( spl0_290
<=> ! [X26] : c_less(X26,c_Suc(X26),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f288,axiom,
! [X26] : c_less(X26,c_Suc(X26),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2908,plain,
spl0_289,
inference(avatar_split_clause,[],[f251,f2906]) ).
fof(f2906,plain,
( spl0_289
<=> ! [X11] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f251,axiom,
! [X11] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2904,plain,
spl0_288,
inference(avatar_split_clause,[],[f247,f2902]) ).
fof(f2902,plain,
( spl0_288
<=> ! [X18] : c_Divides_Oop_Advd(c_Suc(c_0),X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f247,axiom,
! [X18] : c_Divides_Oop_Advd(c_Suc(c_0),X18,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2900,plain,
spl0_287,
inference(avatar_split_clause,[],[f203,f2898]) ).
fof(f2898,plain,
( spl0_287
<=> ! [X22,X11] : ~ c_less(X22,c_emptyset,tc_set(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f203,axiom,
! [X11,X22] : ~ c_less(X22,c_emptyset,tc_set(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2896,plain,
spl0_286,
inference(avatar_split_clause,[],[f119,f2894]) ).
fof(f2894,plain,
( spl0_286
<=> ! [X11] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f119,axiom,
! [X11] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff2_0) ).
fof(f2892,plain,
spl0_285,
inference(avatar_split_clause,[],[f111,f2890]) ).
fof(f2890,plain,
( spl0_285
<=> ! [X11] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f111,axiom,
! [X11] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff2_0) ).
fof(f2888,plain,
~ spl0_284,
inference(avatar_split_clause,[],[f68,f2885]) ).
fof(f2885,plain,
( spl0_284
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f68,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(f2883,plain,
spl0_283,
inference(avatar_split_clause,[],[f30,f2881]) ).
fof(f2881,plain,
( spl0_283
<=> ! [X12,X11] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X12,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f30,axiom,
! [X11,X12] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X12,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f2879,plain,
spl0_282,
inference(avatar_split_clause,[],[f19,f2877]) ).
fof(f2877,plain,
( spl0_282
<=> ! [X6,X5] : c_Comb_Ocomb_OS != c_Comb_Ocomb_Oop_A_D_D(X5,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f19,axiom,
! [X6,X5] : c_Comb_Ocomb_OS != c_Comb_Ocomb_Oop_A_D_D(X5,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__6__iff1_0) ).
fof(f2875,plain,
spl0_281,
inference(avatar_split_clause,[],[f17,f2873]) ).
fof(f2873,plain,
( spl0_281
<=> ! [X6,X5] : c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X5,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f17,axiom,
! [X6,X5] : c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X5,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__4__iff1_0) ).
fof(f2564,plain,
spl0_280,
inference(avatar_split_clause,[],[f1382,f2562]) ).
fof(f2562,plain,
( spl0_280
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1382,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2560,plain,
spl0_279,
inference(avatar_split_clause,[],[f1381,f2558]) ).
fof(f2558,plain,
( spl0_279
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1381,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2556,plain,
spl0_278,
inference(avatar_split_clause,[],[f1380,f2554]) ).
fof(f2554,plain,
( spl0_278
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1380,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(f2552,plain,
spl0_277,
inference(avatar_split_clause,[],[f1379,f2550]) ).
fof(f2550,plain,
( spl0_277
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1379,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(f2548,plain,
spl0_276,
inference(avatar_split_clause,[],[f1378,f2546]) ).
fof(f2546,plain,
( spl0_276
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1378,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2544,plain,
spl0_275,
inference(avatar_split_clause,[],[f1377,f2542]) ).
fof(f2542,plain,
( spl0_275
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1377,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2540,plain,
spl0_274,
inference(avatar_split_clause,[],[f1290,f2538]) ).
fof(f2538,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(f1290,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(f2536,plain,
spl0_273,
inference(avatar_split_clause,[],[f1282,f2534]) ).
fof(f2534,plain,
( spl0_273
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1282,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(f2532,plain,
spl0_272,
inference(avatar_split_clause,[],[f1281,f2530]) ).
fof(f2530,plain,
( spl0_272
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1281,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(f2528,plain,
spl0_271,
inference(avatar_split_clause,[],[f1271,f2526]) ).
fof(f2526,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(f1271,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(f2524,plain,
spl0_270,
inference(avatar_split_clause,[],[f1270,f2522]) ).
fof(f2522,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(f1270,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(f2520,plain,
spl0_269,
inference(avatar_split_clause,[],[f1269,f2518]) ).
fof(f2518,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(f1269,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(f2516,plain,
spl0_268,
inference(avatar_split_clause,[],[f1267,f2514]) ).
fof(f2514,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(f1267,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(f2512,plain,
spl0_267,
inference(avatar_split_clause,[],[f1266,f2510]) ).
fof(f2510,plain,
( spl0_267
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1266,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(f2508,plain,
spl0_266,
inference(avatar_split_clause,[],[f1265,f2506]) ).
fof(f2506,plain,
( spl0_266
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1265,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(f2504,plain,
spl0_265,
inference(avatar_split_clause,[],[f1264,f2502]) ).
fof(f2502,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(f1264,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(f2500,plain,
spl0_264,
inference(avatar_split_clause,[],[f1263,f2498]) ).
fof(f2498,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(f1263,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(f2496,plain,
spl0_263,
inference(avatar_split_clause,[],[f1247,f2494]) ).
fof(f2494,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(f1247,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(f2492,plain,
spl0_262,
inference(avatar_split_clause,[],[f1246,f2490]) ).
fof(f2490,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(f1246,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(f2488,plain,
spl0_261,
inference(avatar_split_clause,[],[f1245,f2486]) ).
fof(f2486,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(f1245,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(f2484,plain,
spl0_260,
inference(avatar_split_clause,[],[f1244,f2482]) ).
fof(f2482,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(f1244,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(f2480,plain,
spl0_259,
inference(avatar_split_clause,[],[f1212,f2478]) ).
fof(f2478,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(f1212,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(f2476,plain,
spl0_258,
inference(avatar_split_clause,[],[f1203,f2474]) ).
fof(f2474,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(f1203,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(f2472,plain,
spl0_257,
inference(avatar_split_clause,[],[f1202,f2470]) ).
fof(f2470,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(f1202,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(f2468,plain,
spl0_256,
inference(avatar_split_clause,[],[f1199,f2466]) ).
fof(f2466,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(f1199,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(f2464,plain,
spl0_255,
inference(avatar_split_clause,[],[f1189,f2462]) ).
fof(f2462,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(f1189,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(f2460,plain,
spl0_254,
inference(avatar_split_clause,[],[f1188,f2458]) ).
fof(f2458,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(f1188,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(f2456,plain,
spl0_253,
inference(avatar_split_clause,[],[f1185,f2454]) ).
fof(f2454,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(f1185,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(f2452,plain,
spl0_252,
inference(avatar_split_clause,[],[f1184,f2450]) ).
fof(f2450,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(f1184,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(f2448,plain,
spl0_251,
inference(avatar_split_clause,[],[f1180,f2446]) ).
fof(f2446,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(f1180,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(f2444,plain,
spl0_250,
inference(avatar_split_clause,[],[f1178,f2442]) ).
fof(f2442,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(f1178,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(f2440,plain,
spl0_249,
inference(avatar_split_clause,[],[f1177,f2438]) ).
fof(f2438,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(f1177,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(f2436,plain,
spl0_248,
inference(avatar_split_clause,[],[f1170,f2434]) ).
fof(f2434,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(f1170,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(f2432,plain,
spl0_247,
inference(avatar_split_clause,[],[f1169,f2430]) ).
fof(f2430,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(f1169,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(f2428,plain,
spl0_246,
inference(avatar_split_clause,[],[f1164,f2426]) ).
fof(f2426,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(f1164,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(f2424,plain,
spl0_245,
inference(avatar_split_clause,[],[f1163,f2422]) ).
fof(f2422,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(f1163,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(f2420,plain,
spl0_244,
inference(avatar_split_clause,[],[f1162,f2418]) ).
fof(f2418,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(f1162,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(f2416,plain,
spl0_243,
inference(avatar_split_clause,[],[f1161,f2414]) ).
fof(f2414,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(f1161,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(f2412,plain,
spl0_242,
inference(avatar_split_clause,[],[f1160,f2410]) ).
fof(f2410,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(f1160,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(f2408,plain,
spl0_241,
inference(avatar_split_clause,[],[f1159,f2406]) ).
fof(f2406,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(f1159,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(f2404,plain,
spl0_240,
inference(avatar_split_clause,[],[f1158,f2402]) ).
fof(f2402,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(f1158,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(f2400,plain,
spl0_239,
inference(avatar_split_clause,[],[f1157,f2398]) ).
fof(f2398,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(f1157,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(f2396,plain,
spl0_238,
inference(avatar_split_clause,[],[f1156,f2394]) ).
fof(f2394,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(f1156,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(f2392,plain,
spl0_237,
inference(avatar_split_clause,[],[f1147,f2390]) ).
fof(f2390,plain,
( spl0_237
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1147,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(f2388,plain,
spl0_236,
inference(avatar_split_clause,[],[f1146,f2386]) ).
fof(f2386,plain,
( spl0_236
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1146,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(f2384,plain,
spl0_235,
inference(avatar_split_clause,[],[f1145,f2382]) ).
fof(f2382,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(f1145,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(f2380,plain,
spl0_234,
inference(avatar_split_clause,[],[f1144,f2378]) ).
fof(f2378,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(f1144,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(f2376,plain,
spl0_233,
inference(avatar_split_clause,[],[f1143,f2374]) ).
fof(f2374,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(f1143,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(f2372,plain,
spl0_232,
inference(avatar_split_clause,[],[f1142,f2370]) ).
fof(f2370,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(f1142,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(f2368,plain,
spl0_231,
inference(avatar_split_clause,[],[f1141,f2366]) ).
fof(f2366,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(f1141,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(f2364,plain,
spl0_230,
inference(avatar_split_clause,[],[f1140,f2362]) ).
fof(f2362,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(f1140,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(f2360,plain,
spl0_229,
inference(avatar_split_clause,[],[f1139,f2358]) ).
fof(f2358,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(f1139,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(f2356,plain,
spl0_228,
inference(avatar_split_clause,[],[f1138,f2354]) ).
fof(f2354,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(f1138,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(f2352,plain,
spl0_227,
inference(avatar_split_clause,[],[f1136,f2350]) ).
fof(f2350,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(f1136,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(f2348,plain,
spl0_226,
inference(avatar_split_clause,[],[f1135,f2346]) ).
fof(f2346,plain,
( spl0_226
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1135,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(f2344,plain,
spl0_225,
inference(avatar_split_clause,[],[f1134,f2342]) ).
fof(f2342,plain,
( spl0_225
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1134,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(f2340,plain,
spl0_224,
inference(avatar_split_clause,[],[f1133,f2338]) ).
fof(f2338,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(f1133,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(f2336,plain,
spl0_223,
inference(avatar_split_clause,[],[f1132,f2334]) ).
fof(f2334,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(f1132,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(f2332,plain,
spl0_222,
inference(avatar_split_clause,[],[f1131,f2330]) ).
fof(f2330,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(f1131,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(f2328,plain,
spl0_221,
inference(avatar_split_clause,[],[f1106,f2326]) ).
fof(f2326,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(f1106,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(f2324,plain,
spl0_220,
inference(avatar_split_clause,[],[f1105,f2322]) ).
fof(f2322,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(f1105,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(f2320,plain,
spl0_219,
inference(avatar_split_clause,[],[f1104,f2318]) ).
fof(f2318,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(f1104,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(f2316,plain,
spl0_218,
inference(avatar_split_clause,[],[f1103,f2314]) ).
fof(f2314,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(f1103,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(f2312,plain,
spl0_217,
inference(avatar_split_clause,[],[f1102,f2310]) ).
fof(f2310,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(f1102,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(f2308,plain,
spl0_216,
inference(avatar_split_clause,[],[f1101,f2306]) ).
fof(f2306,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(f1101,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(f2304,plain,
spl0_215,
inference(avatar_split_clause,[],[f1099,f2302]) ).
fof(f2302,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(f1099,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(f2300,plain,
spl0_214,
inference(avatar_split_clause,[],[f1098,f2298]) ).
fof(f2298,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(f1098,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(f2296,plain,
spl0_213,
inference(avatar_split_clause,[],[f1097,f2294]) ).
fof(f2294,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(f1097,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(f2292,plain,
spl0_212,
inference(avatar_split_clause,[],[f1096,f2290]) ).
fof(f2290,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(f1096,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(f2288,plain,
spl0_211,
inference(avatar_split_clause,[],[f1095,f2286]) ).
fof(f2286,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(f1095,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(f2284,plain,
spl0_210,
inference(avatar_split_clause,[],[f1094,f2282]) ).
fof(f2282,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(f1094,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(f2280,plain,
spl0_209,
inference(avatar_split_clause,[],[f1093,f2278]) ).
fof(f2278,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(f1093,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(f2276,plain,
spl0_208,
inference(avatar_split_clause,[],[f1092,f2274]) ).
fof(f2274,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(f1092,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(f2272,plain,
spl0_207,
inference(avatar_split_clause,[],[f1091,f2270]) ).
fof(f2270,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(f1091,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(f2268,plain,
spl0_206,
inference(avatar_split_clause,[],[f1090,f2266]) ).
fof(f2266,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(f1090,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(f2264,plain,
spl0_205,
inference(avatar_split_clause,[],[f1088,f2262]) ).
fof(f2262,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(f1088,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(f2260,plain,
spl0_204,
inference(avatar_split_clause,[],[f1087,f2258]) ).
fof(f2258,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(f1087,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(f2256,plain,
spl0_203,
inference(avatar_split_clause,[],[f1086,f2254]) ).
fof(f2254,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(f1086,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(f2252,plain,
spl0_202,
inference(avatar_split_clause,[],[f1085,f2250]) ).
fof(f2250,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(f1085,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(f2248,plain,
spl0_201,
inference(avatar_split_clause,[],[f1084,f2246]) ).
fof(f2246,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(f1084,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(f2244,plain,
spl0_200,
inference(avatar_split_clause,[],[f1070,f2242]) ).
fof(f2242,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(f1070,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(f2240,plain,
spl0_199,
inference(avatar_split_clause,[],[f1069,f2238]) ).
fof(f2238,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(f1069,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(f2236,plain,
spl0_198,
inference(avatar_split_clause,[],[f1068,f2234]) ).
fof(f2234,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(f1068,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(f2232,plain,
spl0_197,
inference(avatar_split_clause,[],[f1067,f2230]) ).
fof(f2230,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(f1067,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(f2228,plain,
spl0_196,
inference(avatar_split_clause,[],[f1066,f2226]) ).
fof(f2226,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(f1066,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(f2224,plain,
spl0_195,
inference(avatar_split_clause,[],[f1065,f2222]) ).
fof(f2222,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(f1065,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(f2220,plain,
spl0_194,
inference(avatar_split_clause,[],[f1063,f2218]) ).
fof(f2218,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(f1063,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(f2216,plain,
spl0_193,
inference(avatar_split_clause,[],[f1062,f2214]) ).
fof(f2214,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(f1062,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(f2212,plain,
spl0_192,
inference(avatar_split_clause,[],[f1061,f2210]) ).
fof(f2210,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(f1061,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(f2208,plain,
spl0_191,
inference(avatar_split_clause,[],[f1060,f2206]) ).
fof(f2206,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(f1060,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(f2204,plain,
spl0_190,
inference(avatar_split_clause,[],[f1059,f2202]) ).
fof(f2202,plain,
( spl0_190
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1059,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(f2200,plain,
spl0_189,
inference(avatar_split_clause,[],[f1058,f2198]) ).
fof(f2198,plain,
( spl0_189
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1058,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(f2196,plain,
spl0_188,
inference(avatar_split_clause,[],[f1057,f2194]) ).
fof(f2194,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(f1057,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(f2192,plain,
spl0_187,
inference(avatar_split_clause,[],[f1056,f2190]) ).
fof(f2190,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(f1056,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(f2188,plain,
spl0_186,
inference(avatar_split_clause,[],[f1055,f2186]) ).
fof(f2186,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(f1055,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(f2184,plain,
spl0_185,
inference(avatar_split_clause,[],[f1054,f2182]) ).
fof(f2182,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(f1054,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(f2180,plain,
spl0_184,
inference(avatar_split_clause,[],[f1052,f2178]) ).
fof(f2178,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(f1052,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(f2176,plain,
spl0_183,
inference(avatar_split_clause,[],[f1051,f2174]) ).
fof(f2174,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(f1051,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(f2172,plain,
spl0_182,
inference(avatar_split_clause,[],[f1050,f2170]) ).
fof(f2170,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(f1050,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(f2168,plain,
spl0_181,
inference(avatar_split_clause,[],[f1049,f2166]) ).
fof(f2166,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(f1049,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(f2164,plain,
spl0_180,
inference(avatar_split_clause,[],[f1048,f2162]) ).
fof(f2162,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(f1048,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(f2160,plain,
spl0_179,
inference(avatar_split_clause,[],[f1047,f2158]) ).
fof(f2158,plain,
( spl0_179
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1047,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(f2156,plain,
spl0_178,
inference(avatar_split_clause,[],[f1046,f2154]) ).
fof(f2154,plain,
( spl0_178
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1046,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(f2152,plain,
spl0_177,
inference(avatar_split_clause,[],[f1045,f2150]) ).
fof(f2150,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(f1045,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(f2148,plain,
spl0_176,
inference(avatar_split_clause,[],[f1044,f2146]) ).
fof(f2146,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(f1044,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(f2144,plain,
spl0_175,
inference(avatar_split_clause,[],[f1043,f2142]) ).
fof(f2142,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(f1043,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(f2140,plain,
spl0_174,
inference(avatar_split_clause,[],[f950,f2138]) ).
fof(f2138,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(f950,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(f2136,plain,
spl0_173,
inference(avatar_split_clause,[],[f949,f2134]) ).
fof(f2134,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(f949,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(f2132,plain,
spl0_172,
inference(avatar_split_clause,[],[f948,f2130]) ).
fof(f2130,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(f948,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(f2128,plain,
spl0_171,
inference(avatar_split_clause,[],[f946,f2126]) ).
fof(f2126,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(f946,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(f2124,plain,
spl0_170,
inference(avatar_split_clause,[],[f945,f2122]) ).
fof(f2122,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(f945,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(f2120,plain,
spl0_169,
inference(avatar_split_clause,[],[f942,f2118]) ).
fof(f2118,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(f942,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(f2116,plain,
spl0_168,
inference(avatar_split_clause,[],[f941,f2114]) ).
fof(f2114,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(f941,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(f2112,plain,
spl0_167,
inference(avatar_split_clause,[],[f939,f2110]) ).
fof(f2110,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(f939,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(f2108,plain,
spl0_166,
inference(avatar_split_clause,[],[f938,f2106]) ).
fof(f2106,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(f938,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(f2104,plain,
spl0_165,
inference(avatar_split_clause,[],[f937,f2102]) ).
fof(f2102,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(f937,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(f2100,plain,
spl0_164,
inference(avatar_split_clause,[],[f936,f2098]) ).
fof(f2098,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(f936,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(f2096,plain,
spl0_163,
inference(avatar_split_clause,[],[f935,f2094]) ).
fof(f2094,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(f935,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(f2092,plain,
spl0_162,
inference(avatar_split_clause,[],[f934,f2090]) ).
fof(f2090,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(f934,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(f2088,plain,
spl0_161,
inference(avatar_split_clause,[],[f933,f2086]) ).
fof(f2086,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(f933,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(f2084,plain,
spl0_160,
inference(avatar_split_clause,[],[f932,f2082]) ).
fof(f2082,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(f932,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(f2080,plain,
spl0_159,
inference(avatar_split_clause,[],[f927,f2078]) ).
fof(f2078,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(f927,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(f2076,plain,
spl0_158,
inference(avatar_split_clause,[],[f926,f2074]) ).
fof(f2074,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(f926,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(f2072,plain,
spl0_157,
inference(avatar_split_clause,[],[f925,f2070]) ).
fof(f2070,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(f925,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(f2068,plain,
spl0_156,
inference(avatar_split_clause,[],[f924,f2066]) ).
fof(f2066,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(f924,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(f2064,plain,
spl0_155,
inference(avatar_split_clause,[],[f923,f2062]) ).
fof(f2062,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(f923,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(f2060,plain,
spl0_154,
inference(avatar_split_clause,[],[f921,f2058]) ).
fof(f2058,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(f921,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(f2056,plain,
spl0_153,
inference(avatar_split_clause,[],[f919,f2054]) ).
fof(f2054,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(f919,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(f2052,plain,
spl0_152,
inference(avatar_split_clause,[],[f918,f2050]) ).
fof(f2050,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(f918,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(f2048,plain,
spl0_151,
inference(avatar_split_clause,[],[f917,f2046]) ).
fof(f2046,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(f917,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(f2044,plain,
spl0_150,
inference(avatar_split_clause,[],[f916,f2042]) ).
fof(f2042,plain,
( spl0_150
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f916,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(f2040,plain,
spl0_149,
inference(avatar_split_clause,[],[f915,f2038]) ).
fof(f2038,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(f915,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(f2036,plain,
spl0_148,
inference(avatar_split_clause,[],[f914,f2034]) ).
fof(f2034,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(f914,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(f2032,plain,
spl0_147,
inference(avatar_split_clause,[],[f909,f2030]) ).
fof(f2030,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(f909,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(f2028,plain,
spl0_146,
inference(avatar_split_clause,[],[f900,f2026]) ).
fof(f2026,plain,
( spl0_146
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f900,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(f2024,plain,
spl0_145,
inference(avatar_split_clause,[],[f899,f2022]) ).
fof(f2022,plain,
( spl0_145
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f899,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(f2020,plain,
spl0_144,
inference(avatar_split_clause,[],[f897,f2018]) ).
fof(f2018,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(f897,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(f2016,plain,
spl0_143,
inference(avatar_split_clause,[],[f706,f2014]) ).
fof(f2014,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(f706,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(f2012,plain,
spl0_142,
inference(avatar_split_clause,[],[f677,f2010]) ).
fof(f2010,plain,
( spl0_142
<=> ! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f677,axiom,
! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2008,plain,
spl0_141,
inference(avatar_split_clause,[],[f676,f2006]) ).
fof(f2006,plain,
( spl0_141
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f676,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2004,plain,
spl0_140,
inference(avatar_split_clause,[],[f675,f2002]) ).
fof(f2002,plain,
( spl0_140
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f675,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f2000,plain,
spl0_139,
inference(avatar_split_clause,[],[f674,f1998]) ).
fof(f1998,plain,
( spl0_139
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f674,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f1996,plain,
spl0_138,
inference(avatar_split_clause,[],[f673,f1994]) ).
fof(f1994,plain,
( spl0_138
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f673,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f1992,plain,
spl0_137,
inference(avatar_split_clause,[],[f672,f1990]) ).
fof(f1990,plain,
( spl0_137
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f672,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f1988,plain,
spl0_136,
inference(avatar_split_clause,[],[f664,f1986]) ).
fof(f1986,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(f664,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(f1984,plain,
spl0_135,
inference(avatar_split_clause,[],[f663,f1982]) ).
fof(f1982,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(f663,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(f1980,plain,
spl0_134,
inference(avatar_split_clause,[],[f662,f1978]) ).
fof(f1978,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(f662,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(f1976,plain,
spl0_133,
inference(avatar_split_clause,[],[f656,f1974]) ).
fof(f1974,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(f656,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(f1972,plain,
spl0_132,
inference(avatar_split_clause,[],[f655,f1970]) ).
fof(f1970,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(f655,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(f1968,plain,
spl0_131,
inference(avatar_split_clause,[],[f654,f1966]) ).
fof(f1966,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(f654,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(f1964,plain,
spl0_130,
inference(avatar_split_clause,[],[f653,f1962]) ).
fof(f1962,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(f653,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(f1960,plain,
spl0_129,
inference(avatar_split_clause,[],[f649,f1958]) ).
fof(f1958,plain,
( spl0_129
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f649,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(f1956,plain,
spl0_128,
inference(avatar_split_clause,[],[f648,f1954]) ).
fof(f1954,plain,
( spl0_128
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f648,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(f1952,plain,
spl0_127,
inference(avatar_split_clause,[],[f647,f1950]) ).
fof(f1950,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(f647,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(f1948,plain,
spl0_126,
inference(avatar_split_clause,[],[f639,f1946]) ).
fof(f1946,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(f639,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(f1944,plain,
spl0_125,
inference(avatar_split_clause,[],[f638,f1942]) ).
fof(f1942,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(f638,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(f1940,plain,
spl0_124,
inference(avatar_split_clause,[],[f637,f1938]) ).
fof(f1938,plain,
( spl0_124
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f637,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(f1936,plain,
spl0_123,
inference(avatar_split_clause,[],[f636,f1934]) ).
fof(f1934,plain,
( spl0_123
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f636,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(f1932,plain,
spl0_122,
inference(avatar_split_clause,[],[f633,f1930]) ).
fof(f1930,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(f633,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(f1928,plain,
spl0_121,
inference(avatar_split_clause,[],[f627,f1926]) ).
fof(f1926,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(f627,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(f1924,plain,
spl0_120,
inference(avatar_split_clause,[],[f626,f1922]) ).
fof(f1922,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(f626,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(f1920,plain,
spl0_119,
inference(avatar_split_clause,[],[f625,f1918]) ).
fof(f1918,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(f625,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(f1916,plain,
spl0_118,
inference(avatar_split_clause,[],[f624,f1914]) ).
fof(f1914,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(f624,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(f1912,plain,
spl0_117,
inference(avatar_split_clause,[],[f623,f1910]) ).
fof(f1910,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(f623,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(f1908,plain,
spl0_116,
inference(avatar_split_clause,[],[f622,f1906]) ).
fof(f1906,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(f622,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(f1904,plain,
spl0_115,
inference(avatar_split_clause,[],[f621,f1902]) ).
fof(f1902,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(f621,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(f1900,plain,
spl0_114,
inference(avatar_split_clause,[],[f620,f1898]) ).
fof(f1898,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(f620,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(f1896,plain,
spl0_113,
inference(avatar_split_clause,[],[f616,f1894]) ).
fof(f1894,plain,
( spl0_113
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f616,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(f1892,plain,
spl0_112,
inference(avatar_split_clause,[],[f615,f1890]) ).
fof(f1890,plain,
( spl0_112
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f615,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(f1888,plain,
spl0_111,
inference(avatar_split_clause,[],[f614,f1886]) ).
fof(f1886,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(f614,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(f1884,plain,
spl0_110,
inference(avatar_split_clause,[],[f613,f1882]) ).
fof(f1882,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(f613,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(f1880,plain,
spl0_109,
inference(avatar_split_clause,[],[f612,f1878]) ).
fof(f1878,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(f612,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(f1876,plain,
spl0_108,
inference(avatar_split_clause,[],[f608,f1874]) ).
fof(f1874,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(f608,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(f1872,plain,
spl0_107,
inference(avatar_split_clause,[],[f607,f1870]) ).
fof(f1870,plain,
( spl0_107
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f607,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(f1868,plain,
spl0_106,
inference(avatar_split_clause,[],[f606,f1866]) ).
fof(f1866,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(f606,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(f1864,plain,
spl0_105,
inference(avatar_split_clause,[],[f605,f1862]) ).
fof(f1862,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(f605,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(f1860,plain,
spl0_104,
inference(avatar_split_clause,[],[f598,f1858]) ).
fof(f1858,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(f598,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(f1856,plain,
spl0_103,
inference(avatar_split_clause,[],[f597,f1854]) ).
fof(f1854,plain,
( spl0_103
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f597,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(f1852,plain,
spl0_102,
inference(avatar_split_clause,[],[f596,f1850]) ).
fof(f1850,plain,
( spl0_102
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f596,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(f1848,plain,
spl0_101,
inference(avatar_split_clause,[],[f595,f1846]) ).
fof(f1846,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(f595,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(f1844,plain,
spl0_100,
inference(avatar_split_clause,[],[f594,f1842]) ).
fof(f1842,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(f594,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(f1840,plain,
spl0_99,
inference(avatar_split_clause,[],[f593,f1838]) ).
fof(f1838,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(f593,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(f1836,plain,
spl0_98,
inference(avatar_split_clause,[],[f589,f1834]) ).
fof(f1834,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(f589,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(f1832,plain,
spl0_97,
inference(avatar_split_clause,[],[f588,f1830]) ).
fof(f1830,plain,
( spl0_97
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f588,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(f1828,plain,
spl0_96,
inference(avatar_split_clause,[],[f587,f1826]) ).
fof(f1826,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(f587,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(f1824,plain,
spl0_95,
inference(avatar_split_clause,[],[f586,f1822]) ).
fof(f1822,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(f586,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(f1820,plain,
spl0_94,
inference(avatar_split_clause,[],[f579,f1818]) ).
fof(f1818,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(f579,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(f1816,plain,
spl0_93,
inference(avatar_split_clause,[],[f577,f1814]) ).
fof(f1814,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(f577,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(f1812,plain,
spl0_92,
inference(avatar_split_clause,[],[f576,f1810]) ).
fof(f1810,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(f576,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(f1808,plain,
spl0_91,
inference(avatar_split_clause,[],[f575,f1806]) ).
fof(f1806,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(f575,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(f1804,plain,
spl0_90,
inference(avatar_split_clause,[],[f570,f1802]) ).
fof(f1802,plain,
( spl0_90
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f570,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(f1800,plain,
spl0_89,
inference(avatar_split_clause,[],[f569,f1798]) ).
fof(f1798,plain,
( spl0_89
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f569,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(f1796,plain,
spl0_88,
inference(avatar_split_clause,[],[f568,f1794]) ).
fof(f1794,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(f568,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(f1792,plain,
spl0_87,
inference(avatar_split_clause,[],[f567,f1790]) ).
fof(f1790,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(f567,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(f1788,plain,
spl0_86,
inference(avatar_split_clause,[],[f566,f1786]) ).
fof(f1786,plain,
( spl0_86
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f566,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(f1784,plain,
spl0_85,
inference(avatar_split_clause,[],[f561,f1782]) ).
fof(f1782,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(f561,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(f1780,plain,
spl0_84,
inference(avatar_split_clause,[],[f560,f1778]) ).
fof(f1778,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(f560,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(f1776,plain,
spl0_83,
inference(avatar_split_clause,[],[f559,f1774]) ).
fof(f1774,plain,
( spl0_83
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f559,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(f1772,plain,
spl0_82,
inference(avatar_split_clause,[],[f558,f1770]) ).
fof(f1770,plain,
( spl0_82
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f558,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(f1768,plain,
spl0_81,
inference(avatar_split_clause,[],[f557,f1766]) ).
fof(f1766,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(f557,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(f1764,plain,
spl0_80,
inference(avatar_split_clause,[],[f556,f1762]) ).
fof(f1762,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(f556,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(f1760,plain,
spl0_79,
inference(avatar_split_clause,[],[f555,f1758]) ).
fof(f1758,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(f555,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(f1756,plain,
spl0_78,
inference(avatar_split_clause,[],[f551,f1754]) ).
fof(f1754,plain,
( spl0_78
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f551,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(f1752,plain,
spl0_77,
inference(avatar_split_clause,[],[f550,f1750]) ).
fof(f1750,plain,
( spl0_77
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f550,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(f1748,plain,
spl0_76,
inference(avatar_split_clause,[],[f549,f1746]) ).
fof(f1746,plain,
( spl0_76
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f549,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(f1744,plain,
spl0_75,
inference(avatar_split_clause,[],[f542,f1742]) ).
fof(f1742,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(f542,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(f1740,plain,
spl0_74,
inference(avatar_split_clause,[],[f483,f1738]) ).
fof(f1738,plain,
( spl0_74
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f483,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1736,plain,
spl0_73,
inference(avatar_split_clause,[],[f482,f1734]) ).
fof(f1734,plain,
( spl0_73
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f482,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1732,plain,
spl0_72,
inference(avatar_split_clause,[],[f481,f1730]) ).
fof(f1730,plain,
( spl0_72
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f481,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1728,plain,
spl0_71,
inference(avatar_split_clause,[],[f480,f1726]) ).
fof(f1726,plain,
( spl0_71
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f480,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1724,plain,
spl0_70,
inference(avatar_split_clause,[],[f479,f1722]) ).
fof(f1722,plain,
( spl0_70
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f479,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1720,plain,
spl0_69,
inference(avatar_split_clause,[],[f478,f1718]) ).
fof(f1718,plain,
( spl0_69
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f478,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1716,plain,
spl0_68,
inference(avatar_split_clause,[],[f477,f1714]) ).
fof(f1714,plain,
( spl0_68
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f477,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1712,plain,
spl0_67,
inference(avatar_split_clause,[],[f476,f1710]) ).
fof(f1710,plain,
( spl0_67
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f476,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1708,plain,
spl0_66,
inference(avatar_split_clause,[],[f321,f1706]) ).
fof(f321,axiom,
! [X11,X4] : c_in(X4,c_UNIV,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1704,plain,
spl0_65,
inference(avatar_split_clause,[],[f289,f1702]) ).
fof(f1702,plain,
( spl0_65
<=> ! [X26] : ~ c_less(X26,X26,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f289,axiom,
! [X26] : ~ c_less(X26,X26,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1700,plain,
spl0_64,
inference(avatar_split_clause,[],[f287,f1698]) ).
fof(f1698,plain,
( spl0_64
<=> ! [X26] : c_lessequals(c_0,X26,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f287,axiom,
! [X26] : c_lessequals(c_0,X26,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1696,plain,
spl0_63,
inference(avatar_split_clause,[],[f263,f1694]) ).
fof(f1694,plain,
( spl0_63
<=> ! [X21] : c_Divides_Oop_Advd(c_1,X21,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f263,axiom,
! [X21] : c_Divides_Oop_Advd(c_1,X21,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1692,plain,
spl0_62,
inference(avatar_split_clause,[],[f262,f1690]) ).
fof(f1690,plain,
( spl0_62
<=> ! [X21] : c_Divides_Oop_Advd(X21,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f262,axiom,
! [X21] : c_Divides_Oop_Advd(X21,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1688,plain,
spl0_61,
inference(avatar_split_clause,[],[f246,f1686]) ).
fof(f1686,plain,
( spl0_61
<=> ! [X21] : c_Divides_Oop_Advd(X21,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f246,axiom,
! [X21] : c_Divides_Oop_Advd(X21,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1684,plain,
spl0_60,
inference(avatar_split_clause,[],[f199,f1682]) ).
fof(f1682,plain,
( spl0_60
<=> ! [X13,X11] : ~ c_in(X13,c_emptyset,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f199,axiom,
! [X11,X13] : ~ c_in(X13,c_emptyset,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f1680,plain,
spl0_59,
inference(avatar_split_clause,[],[f145,f1678]) ).
fof(f1678,plain,
( spl0_59
<=> ! [X26] : ~ c_less(X26,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f145,axiom,
! [X26] : ~ c_less(X26,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f1676,plain,
spl0_58,
inference(avatar_split_clause,[],[f140,f1673]) ).
fof(f1673,plain,
( spl0_58
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f140,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f1671,plain,
spl0_57,
inference(avatar_split_clause,[],[f127,f1669]) ).
fof(f1669,plain,
( spl0_57
<=> ! [X21] : c_0 != c_Suc(X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f127,axiom,
! [X21] : c_0 != c_Suc(X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f1667,plain,
spl0_56,
inference(avatar_split_clause,[],[f472,f1665]) ).
fof(f1665,plain,
( spl0_56
<=> ! [X56] : class_Orderings_Oorder(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f472,axiom,
! [X56] : class_Orderings_Oorder(tc_set(X56)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1663,plain,
spl0_55,
inference(avatar_split_clause,[],[f471,f1661]) ).
fof(f1661,plain,
( spl0_55
<=> ! [X56] : class_Orderings_Oord(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f471,axiom,
! [X56] : class_Orderings_Oord(tc_set(X56)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1659,plain,
spl0_54,
inference(avatar_split_clause,[],[f349,f1656]) ).
fof(f1656,plain,
( spl0_54
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f349,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(f1654,plain,
spl0_53,
inference(avatar_split_clause,[],[f347,f1651]) ).
fof(f1651,plain,
( spl0_53
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f347,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(f1649,plain,
spl0_52,
inference(avatar_split_clause,[],[f346,f1647]) ).
fof(f1647,plain,
( spl0_52
<=> ! [X11] : c_Wellfounded__Recursion_Owf(c_emptyset,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f346,axiom,
! [X11] : c_Wellfounded__Recursion_Owf(c_emptyset,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1645,plain,
~ spl0_51,
inference(avatar_split_clause,[],[f191,f1642]) ).
fof(f1642,plain,
( spl0_51
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f191,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1640,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f147,f1637]) ).
fof(f1637,plain,
( spl0_50
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f147,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1635,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f54,f1632]) ).
fof(f1632,plain,
( spl0_49
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f54,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1630,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f15,f1627]) ).
fof(f1627,plain,
( spl0_48
<=> c_Comb_Ocomb_OK = c_Comb_Ocomb_OS ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f15,axiom,
c_Comb_Ocomb_OK != c_Comb_Ocomb_OS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__2__iff1_0) ).
fof(f1625,plain,
spl0_47,
inference(avatar_split_clause,[],[f467,f1622]) ).
fof(f1622,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f467,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1620,plain,
spl0_46,
inference(avatar_split_clause,[],[f466,f1617]) ).
fof(f1617,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f466,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1615,plain,
spl0_45,
inference(avatar_split_clause,[],[f465,f1612]) ).
fof(f1612,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f465,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1610,plain,
spl0_44,
inference(avatar_split_clause,[],[f464,f1607]) ).
fof(f1607,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f464,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1605,plain,
spl0_43,
inference(avatar_split_clause,[],[f459,f1602]) ).
fof(f1602,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f459,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1600,plain,
spl0_42,
inference(avatar_split_clause,[],[f458,f1597]) ).
fof(f1597,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f458,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1595,plain,
spl0_41,
inference(avatar_split_clause,[],[f457,f1592]) ).
fof(f1592,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f457,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1590,plain,
spl0_40,
inference(avatar_split_clause,[],[f456,f1587]) ).
fof(f1587,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f456,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1585,plain,
spl0_39,
inference(avatar_split_clause,[],[f455,f1582]) ).
fof(f1582,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f455,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1580,plain,
spl0_38,
inference(avatar_split_clause,[],[f454,f1577]) ).
fof(f1577,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f454,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1575,plain,
spl0_37,
inference(avatar_split_clause,[],[f453,f1572]) ).
fof(f1572,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f453,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1570,plain,
spl0_36,
inference(avatar_split_clause,[],[f452,f1567]) ).
fof(f1567,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f452,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1565,plain,
spl0_35,
inference(avatar_split_clause,[],[f451,f1562]) ).
fof(f1562,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f451,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1560,plain,
spl0_34,
inference(avatar_split_clause,[],[f450,f1557]) ).
fof(f1557,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f450,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1555,plain,
spl0_33,
inference(avatar_split_clause,[],[f449,f1552]) ).
fof(f1552,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f449,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1550,plain,
spl0_32,
inference(avatar_split_clause,[],[f448,f1547]) ).
fof(f1547,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f448,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1545,plain,
spl0_31,
inference(avatar_split_clause,[],[f444,f1542]) ).
fof(f1542,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f444,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1540,plain,
spl0_30,
inference(avatar_split_clause,[],[f433,f1537]) ).
fof(f1537,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f433,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1535,plain,
spl0_29,
inference(avatar_split_clause,[],[f418,f1532]) ).
fof(f1532,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f418,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1530,plain,
spl0_28,
inference(avatar_split_clause,[],[f417,f1527]) ).
fof(f1527,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f417,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1525,plain,
spl0_27,
inference(avatar_split_clause,[],[f406,f1522]) ).
fof(f1522,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f406,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1520,plain,
spl0_26,
inference(avatar_split_clause,[],[f404,f1517]) ).
fof(f1517,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f404,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1515,plain,
spl0_25,
inference(avatar_split_clause,[],[f403,f1512]) ).
fof(f1512,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f403,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1510,plain,
spl0_24,
inference(avatar_split_clause,[],[f401,f1507]) ).
fof(f1507,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f401,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1505,plain,
spl0_23,
inference(avatar_split_clause,[],[f400,f1502]) ).
fof(f1502,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f400,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1500,plain,
spl0_22,
inference(avatar_split_clause,[],[f399,f1497]) ).
fof(f1497,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f399,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1495,plain,
spl0_21,
inference(avatar_split_clause,[],[f398,f1492]) ).
fof(f1492,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f398,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1490,plain,
spl0_20,
inference(avatar_split_clause,[],[f397,f1487]) ).
fof(f1487,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f397,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1485,plain,
spl0_19,
inference(avatar_split_clause,[],[f396,f1482]) ).
fof(f1482,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f396,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1480,plain,
spl0_18,
inference(avatar_split_clause,[],[f395,f1477]) ).
fof(f1477,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f395,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1475,plain,
spl0_17,
inference(avatar_split_clause,[],[f394,f1472]) ).
fof(f1472,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f394,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1470,plain,
spl0_16,
inference(avatar_split_clause,[],[f393,f1467]) ).
fof(f1467,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f393,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1465,plain,
spl0_15,
inference(avatar_split_clause,[],[f392,f1462]) ).
fof(f1462,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f392,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1460,plain,
spl0_14,
inference(avatar_split_clause,[],[f391,f1457]) ).
fof(f1457,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f391,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1455,plain,
spl0_13,
inference(avatar_split_clause,[],[f390,f1452]) ).
fof(f1452,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f390,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1450,plain,
spl0_12,
inference(avatar_split_clause,[],[f389,f1447]) ).
fof(f1447,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f389,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1445,plain,
spl0_11,
inference(avatar_split_clause,[],[f388,f1442]) ).
fof(f1442,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f388,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1440,plain,
spl0_10,
inference(avatar_split_clause,[],[f387,f1437]) ).
fof(f1437,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f387,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1435,plain,
spl0_9,
inference(avatar_split_clause,[],[f385,f1432]) ).
fof(f1432,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f385,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1430,plain,
spl0_8,
inference(avatar_split_clause,[],[f384,f1427]) ).
fof(f1427,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f384,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1425,plain,
spl0_7,
inference(avatar_split_clause,[],[f383,f1422]) ).
fof(f1422,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f383,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1420,plain,
spl0_6,
inference(avatar_split_clause,[],[f382,f1417]) ).
fof(f1417,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f382,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1415,plain,
spl0_5,
inference(avatar_split_clause,[],[f381,f1412]) ).
fof(f1412,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f381,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1410,plain,
spl0_4,
inference(avatar_split_clause,[],[f380,f1407]) ).
fof(f1407,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f380,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1405,plain,
spl0_3,
inference(avatar_split_clause,[],[f379,f1402]) ).
fof(f1402,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f379,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1400,plain,
spl0_2,
inference(avatar_split_clause,[],[f378,f1397]) ).
fof(f1397,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f378,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1395,plain,
spl0_1,
inference(avatar_split_clause,[],[f377,f1392]) ).
fof(f1392,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f377,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL124-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:27:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (28090)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (28093)WARNING: value z3 for option sas not known
% 0.22/0.40 % (28094)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (28091)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40 % (28092)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (28095)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.40 % (28096)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.40 % (28093)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40 % (28097)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.45 % (28095)First to succeed.
% 0.22/0.47 % (28095)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28090"
% 0.22/0.47 % (28095)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (28095)------------------------------
% 0.22/0.49 % (28095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49 % (28095)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (28095)Memory used [KB]: 2699
% 0.22/0.49 % (28095)Time elapsed: 0.068 s
% 0.22/0.49 % (28095)Instructions burned: 116 (million)
% 0.22/0.49 % (28090)Success in time 0.125 s
%------------------------------------------------------------------------------