TSTP Solution File: LCL436-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL436-1 : 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 : n032.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 07:45:50 EDT 2024
% Result : Unsatisfiable 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1092
% Syntax : Number of formulae : 1705 ( 663 unt; 0 def)
% Number of atoms : 3315 ( 309 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2700 (1090 ~;1053 |; 0 &)
% ( 557 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 595 ( 593 usr; 558 prp; 0-3 aty)
% Number of functors : 109 ( 109 usr; 24 con; 0-5 aty)
% Number of variables : 2123 (2123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4647,plain,
$false,
inference(avatar_sat_refutation,[],[f1380,f1385,f1390,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,f1629,f1634,f1639,f1643,f1647,f1651,f1656,f1660,f1664,f1668,f1672,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,f2855,f2859,f2864,f2868,f2872,f2876,f2880,f2884,f2888,f2892,f2896,f2900,f2904,f2908,f2912,f2916,f2920,f2924,f2928,f2932,f2937,f2941,f2945,f2949,f2954,f2958,f2962,f2966,f2970,f2974,f2978,f2982,f2986,f2990,f2994,f2998,f3002,f3006,f3010,f3014,f3018,f3038,f3042,f3046,f3050,f3054,f3058,f3062,f3066,f3070,f3074,f3078,f3082,f3086,f3090,f3094,f3098,f3102,f3106,f3110,f3114,f3118,f3122,f3133,f3137,f3143,f3147,f3151,f3155,f3159,f3163,f3167,f3171,f3175,f3179,f3185,f3189,f3193,f3197,f3201,f3205,f3209,f3213,f3217,f3240,f3244,f3248,f3252,f3256,f3260,f3264,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3320,f3324,f3328,f3332,f3353,f3372,f3380,f3384,f3388,f3392,f3396,f3400,f3404,f3408,f3412,f3416,f3420,f3431,f3435,f3439,f3443,f3447,f3451,f3455,f3459,f3463,f3467,f3471,f3475,f3479,f3483,f3487,f3491,f3495,f3505,f3509,f3513,f3517,f3521,f3525,f3529,f3533,f3537,f3541,f3546,f3550,f3554,f3558,f3562,f3566,f3570,f3574,f3578,f3582,f3586,f3613,f3671,f3675,f3679,f3683,f3687,f3691,f3695,f3699,f3703,f3707,f3711,f3715,f3719,f3723,f3727,f3732,f3736,f3750,f3766,f3770,f3774,f3778,f3782,f3786,f3790,f3794,f3798,f3802,f3806,f3810,f3814,f3818,f3822,f3834,f3879,f3883,f3887,f3891,f3895,f3899,f3903,f3907,f3911,f3915,f3919,f3923,f3927,f3931,f3935,f3939,f3943,f3947,f3951,f3955,f4051,f4055,f4059,f4063,f4067,f4071,f4075,f4079,f4083,f4087,f4091,f4129,f4133,f4137,f4141,f4145,f4149,f4153,f4157,f4161,f4165,f4169,f4173,f4177,f4181,f4185,f4189,f4193,f4246,f4271,f4275,f4279,f4295,f4299,f4303,f4307,f4312,f4316,f4343,f4347,f4351,f4355,f4359,f4363,f4367,f4371,f4375,f4379,f4384,f4464,f4468,f4498,f4502,f4506,f4510,f4514,f4521,f4598,f4602,f4606,f4610,f4614,f4618,f4643,f4646]) ).
fof(f4646,plain,
( spl0_526
| ~ spl0_557 ),
inference(avatar_contradiction_clause,[],[f4644]) ).
fof(f4644,plain,
( $false
| spl0_526
| ~ spl0_557 ),
inference(resolution,[],[f4642,f4294]) ).
fof(f4294,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| spl0_526 ),
inference(avatar_component_clause,[],[f4292]) ).
fof(f4292,plain,
( spl0_526
<=> c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f4642,plain,
( ! [X59,X1,X8,X7,X20] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Oop_A_N_62(X59,X20,X1),X1),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Opl_Oop_A_N_62(X7,X20,X1),X1),X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| ~ spl0_557 ),
inference(avatar_component_clause,[],[f4641]) ).
fof(f4641,plain,
( spl0_557
<=> ! [X59,X20,X8,X1,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Oop_A_N_62(X59,X20,X1),X1),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Opl_Oop_A_N_62(X7,X20,X1),X1),X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f4643,plain,
spl0_557,
inference(avatar_split_clause,[],[f1371,f4641]) ).
fof(f1371,axiom,
! [X59,X1,X8,X7,X20] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Oop_A_N_62(X59,X20,X1),X1),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Opl_Oop_A_N_62(X7,X20,X1),X1),X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
fof(f4618,plain,
spl0_556,
inference(avatar_split_clause,[],[f1370,f4616]) ).
fof(f4616,plain,
( spl0_556
<=> ! [X59,X7,X8,X1] :
( ~ c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1370,axiom,
! [X59,X1,X8,X7] :
( ~ c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f4614,plain,
spl0_555,
inference(avatar_split_clause,[],[f330,f4612]) ).
fof(f4612,plain,
( spl0_555
<=> ! [X4,X20,X12,X1] :
( ~ c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Otrancl(X20,X1),tc_prod(X1,X1))
| c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f330,axiom,
! [X1,X4,X12,X20] :
( ~ c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Otrancl(X20,X1),tc_prod(X1,X1))
| c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(f4610,plain,
spl0_554,
inference(avatar_split_clause,[],[f286,f4608]) ).
fof(f4608,plain,
( spl0_554
<=> ! [X11,X20,X49,X1] :
( ~ c_in(X49,c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11))
| c_Pair(c_Main_OconverseE__2(X20,X49,X11,X1),c_Main_OconverseE__1(X20,X49,X11,X1),X1,X11) = X49 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f286,axiom,
! [X49,X11,X1,X20] :
( ~ c_in(X49,c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11))
| c_Pair(c_Main_OconverseE__2(X20,X49,X11,X1),c_Main_OconverseE__1(X20,X49,X11,X1),X1,X11) = X49 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_1) ).
fof(f4606,plain,
spl0_553,
inference(avatar_split_clause,[],[f205,f4604]) ).
fof(f4604,plain,
( spl0_553
<=> ! [X9,X20,X29,X1] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X9,X29,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f205,axiom,
! [X29,X1,X9,X20] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X9,X29,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f4602,plain,
spl0_552,
inference(avatar_split_clause,[],[f202,f4600]) ).
fof(f4600,plain,
( spl0_552
<=> ! [X9,X20,X29,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X9,X29,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f202,axiom,
! [X29,X1,X9,X20] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X9,X29,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f4598,plain,
spl0_551,
inference(avatar_split_clause,[],[f72,f4596]) ).
fof(f4596,plain,
( spl0_551
<=> ! [X28,X19,X27,X1] :
( ~ c_in(X28,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f72,axiom,
! [X28,X1,X19,X27] :
( ~ c_in(X28,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(f4521,plain,
( ~ spl0_550
| ~ spl0_521
| spl0_542 ),
inference(avatar_split_clause,[],[f4459,f4381,f4191,f4518]) ).
fof(f4518,plain,
( spl0_550
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f4191,plain,
( spl0_521
<=> ! [X1,X8,X7,X59] :
( ~ c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f4381,plain,
( spl0_542
<=> c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f4459,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ spl0_521
| spl0_542 ),
inference(resolution,[],[f4383,f4192]) ).
fof(f4192,plain,
( ! [X59,X1,X8,X7] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| ~ c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) )
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f4191]) ).
fof(f4383,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| spl0_542 ),
inference(avatar_component_clause,[],[f4381]) ).
fof(f4514,plain,
spl0_549,
inference(avatar_split_clause,[],[f281,f4512]) ).
fof(f4512,plain,
( spl0_549
<=> ! [X19,X11,X12,X1,X20] :
( ~ c_in(X12,c_Relation_OImage(X20,X19,X11,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X19,X12,X20,X11,X1),X12,X11,X1),X20,tc_prod(X11,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f281,axiom,
! [X11,X1,X19,X12,X20] :
( ~ c_in(X12,c_Relation_OImage(X20,X19,X11,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X19,X12,X20,X11,X1),X12,X11,X1),X20,tc_prod(X11,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f4510,plain,
spl0_548,
inference(avatar_split_clause,[],[f223,f4508]) ).
fof(f4508,plain,
( spl0_548
<=> ! [X19,X11,X40,X21,X1] :
( ~ c_in(X40,c_Datatype__Universe_Ouprod(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Main_OuprodE__1(X19,X21,X40,X1,X11),X19,tc_set(tc_Datatype__Universe_Onode(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f223,axiom,
! [X40,X21,X11,X1,X19] :
( ~ c_in(X40,c_Datatype__Universe_Ouprod(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Main_OuprodE__1(X19,X21,X40,X1,X11),X19,tc_set(tc_Datatype__Universe_Onode(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f4506,plain,
spl0_547,
inference(avatar_split_clause,[],[f222,f4504]) ).
fof(f4504,plain,
( spl0_547
<=> ! [X19,X11,X40,X21,X1] :
( ~ c_in(X40,c_Datatype__Universe_Ouprod(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Main_OuprodE__2(X19,X21,X40,X1,X11),X21,tc_set(tc_Datatype__Universe_Onode(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f222,axiom,
! [X40,X21,X11,X1,X19] :
( ~ c_in(X40,c_Datatype__Universe_Ouprod(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Main_OuprodE__2(X19,X21,X40,X1,X11),X21,tc_set(tc_Datatype__Universe_Onode(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f4502,plain,
spl0_546,
inference(avatar_split_clause,[],[f140,f4500]) ).
fof(f4500,plain,
( spl0_546
<=> ! [X4,X11,X12,X1,X20] :
( ~ c_in(c_Pair(X12,X4,X11,X1),X20,tc_prod(X11,X1))
| c_in(c_Pair(X4,X12,X1,X11),c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f140,axiom,
! [X11,X1,X4,X12,X20] :
( ~ c_in(c_Pair(X12,X4,X11,X1),X20,tc_prod(X11,X1))
| c_in(c_Pair(X4,X12,X1,X11),c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff2_0) ).
fof(f4498,plain,
spl0_545,
inference(avatar_split_clause,[],[f139,f4496]) ).
fof(f4496,plain,
( spl0_545
<=> ! [X4,X11,X12,X1,X20] :
( c_in(c_Pair(X12,X4,X11,X1),X20,tc_prod(X11,X1))
| ~ c_in(c_Pair(X4,X12,X1,X11),c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f139,axiom,
! [X11,X1,X4,X12,X20] :
( c_in(c_Pair(X12,X4,X11,X1),X20,tc_prod(X11,X1))
| ~ c_in(c_Pair(X4,X12,X1,X11),c_Relation_Oconverse(X20,X11,X1),tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff1_0) ).
fof(f4468,plain,
spl0_544,
inference(avatar_split_clause,[],[f329,f4466]) ).
fof(f4466,plain,
( spl0_544
<=> ! [X4,X20,X12,X1] :
( ~ c_in(c_Pair(X4,X12,X1,X1),X20,tc_prod(X1,X1))
| c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Otrancl(X20,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f329,axiom,
! [X1,X4,X12,X20] :
( ~ c_in(c_Pair(X4,X12,X1,X1),X20,tc_prod(X1,X1))
| c_in(c_Pair(X4,X12,X1,X1),c_Transitive__Closure_Otrancl(X20,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f4464,plain,
spl0_543,
inference(avatar_split_clause,[],[f282,f4462]) ).
fof(f4462,plain,
( spl0_543
<=> ! [X4,X19,X11,X12,X1,X20] :
( ~ c_in(X4,X19,X1)
| c_in(X12,c_Relation_OImage(X20,X19,X1,X11),X11)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f282,axiom,
! [X11,X1,X19,X4,X12,X20] :
( ~ c_in(X4,X19,X1)
| c_in(X12,c_Relation_OImage(X20,X19,X1,X11),X11)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4384,plain,
( ~ spl0_542
| ~ spl0_521
| spl0_526 ),
inference(avatar_split_clause,[],[f4338,f4292,f4191,f4381]) ).
fof(f4338,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ spl0_521
| spl0_526 ),
inference(resolution,[],[f4294,f4192]) ).
fof(f4379,plain,
spl0_541,
inference(avatar_split_clause,[],[f287,f4377]) ).
fof(f4377,plain,
( spl0_541
<=> ! [X1,X40,X19] :
( ~ c_in(X40,c_Relation_Odiag(X19,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X19,X40,X1),c_Main_OdiagE__1(X19,X40,X1),X1,X1) = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f287,axiom,
! [X40,X1,X19] :
( ~ c_in(X40,c_Relation_Odiag(X19,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X19,X40,X1),c_Main_OdiagE__1(X19,X40,X1),X1,X1) = X40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4375,plain,
spl0_540,
inference(avatar_split_clause,[],[f283,f4373]) ).
fof(f4373,plain,
( spl0_540
<=> ! [X11,X12,X1,X20] :
( ~ c_in(X12,c_Relation_ORange(X20,X11,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X12,X20,X1,X11),X12,X11,X1),X20,tc_prod(X11,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f283,axiom,
! [X11,X1,X12,X20] :
( ~ c_in(X12,c_Relation_ORange(X20,X11,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X12,X20,X1,X11),X12,X11,X1),X20,tc_prod(X11,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4371,plain,
spl0_539,
inference(avatar_split_clause,[],[f277,f4369]) ).
fof(f4369,plain,
( spl0_539
<=> ! [X4,X11,X1,X20] :
( ~ c_in(X4,c_Relation_ODomain(X20,X1,X11),X1)
| c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X20,X1,X11),X1,X11),X20,tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f277,axiom,
! [X11,X1,X4,X20] :
( ~ c_in(X4,c_Relation_ODomain(X20,X1,X11),X1)
| c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X20,X1,X11),X1,X11),X20,tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4367,plain,
spl0_538,
inference(avatar_split_clause,[],[f268,f4365]) ).
fof(f4365,plain,
( spl0_538
<=> ! [X48,X4,X19,X1] :
( ~ c_in(X4,X19,X1)
| ~ c_in(X48,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X4,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f268,axiom,
! [X48,X1,X19,X4] :
( ~ c_in(X4,X19,X1)
| ~ c_in(X48,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X4,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4363,plain,
spl0_537,
inference(avatar_split_clause,[],[f230,f4361]) ).
fof(f4361,plain,
( spl0_537
<=> ! [X19,X11,X14,X21,X1] :
( ~ c_in(X14,X21,tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Datatype__Universe_OIn1(X14,X1,X11),c_Datatype__Universe_Ousum(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f230,axiom,
! [X21,X11,X1,X19,X14] :
( ~ c_in(X14,X21,tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Datatype__Universe_OIn1(X14,X1,X11),c_Datatype__Universe_Ousum(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4359,plain,
spl0_536,
inference(avatar_split_clause,[],[f229,f4357]) ).
fof(f4357,plain,
( spl0_536
<=> ! [X11,X19,X13,X21,X1] :
( ~ c_in(X13,X19,tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Datatype__Universe_OIn0(X13,X1,X11),c_Datatype__Universe_Ousum(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f229,axiom,
! [X21,X11,X1,X19,X13] :
( ~ c_in(X13,X19,tc_set(tc_Datatype__Universe_Onode(X1,X11)))
| c_in(c_Datatype__Universe_OIn0(X13,X1,X11),c_Datatype__Universe_Ousum(X19,X21,X1,X11),tc_set(tc_Datatype__Universe_Onode(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4355,plain,
spl0_535,
inference(avatar_split_clause,[],[f138,f4353]) ).
fof(f4353,plain,
( spl0_535
<=> ! [X4,X11,X12,X1,X20] :
( ~ c_in(c_Pair(X4,X12,X11,X1),X20,tc_prod(X11,X1))
| c_in(X12,c_Relation_OImage(X20,c_insert(X4,c_emptyset,X11),X11,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f138,axiom,
! [X11,X1,X4,X12,X20] :
( ~ c_in(c_Pair(X4,X12,X11,X1),X20,tc_prod(X11,X1))
| c_in(X12,c_Relation_OImage(X20,c_insert(X4,c_emptyset,X11),X11,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4351,plain,
spl0_534,
inference(avatar_split_clause,[],[f137,f4349]) ).
fof(f4349,plain,
( spl0_534
<=> ! [X4,X11,X12,X1,X20] :
( c_in(c_Pair(X4,X12,X11,X1),X20,tc_prod(X11,X1))
| ~ c_in(X12,c_Relation_OImage(X20,c_insert(X4,c_emptyset,X11),X11,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f137,axiom,
! [X11,X1,X4,X12,X20] :
( c_in(c_Pair(X4,X12,X11,X1),X20,tc_prod(X11,X1))
| ~ c_in(X12,c_Relation_OImage(X20,c_insert(X4,c_emptyset,X11),X11,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4347,plain,
spl0_533,
inference(avatar_split_clause,[],[f42,f4345]) ).
fof(f4345,plain,
( spl0_533
<=> ! [X4,X19,X21,X1] :
( ~ c_in(c_minus(X19,X21,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X19,c_insert(X4,X21,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f42,axiom,
! [X21,X1,X19,X4] :
( ~ c_in(c_minus(X19,X21,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X19,c_insert(X4,X21,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4343,plain,
spl0_532,
inference(avatar_split_clause,[],[f41,f4341]) ).
fof(f4341,plain,
( spl0_532
<=> ! [X4,X19,X21,X1] :
( c_in(c_minus(X19,X21,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X19,c_insert(X4,X21,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f41,axiom,
! [X21,X1,X19,X4] :
( c_in(c_minus(X19,X21,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X19,c_insert(X4,X21,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4316,plain,
spl0_531,
inference(avatar_split_clause,[],[f241,f4314]) ).
fof(f4314,plain,
( spl0_531
<=> ! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X19,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f241,axiom,
! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X19,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4312,plain,
spl0_530,
inference(avatar_split_clause,[],[f240,f4310]) ).
fof(f4310,plain,
( spl0_530
<=> ! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X19,X1),X19,tc_set(X1))
| c_in(c_Union(X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f240,axiom,
! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X19,X1),X19,tc_set(X1))
| c_in(c_Union(X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4307,plain,
spl0_529,
inference(avatar_split_clause,[],[f265,f4305]) ).
fof(f4305,plain,
( spl0_529
<=> ! [X20,X27,X1] :
( c_List_Olist_ONil = X27
| ~ c_in(c_Pair(X27,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f265,axiom,
! [X1,X27,X20] :
( c_List_Olist_ONil = X27
| ~ c_in(c_Pair(X27,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4303,plain,
spl0_528,
inference(avatar_split_clause,[],[f264,f4301]) ).
fof(f4301,plain,
( spl0_528
<=> ! [X20,X27,X1] :
( c_List_Olist_ONil = X27
| ~ c_in(c_Pair(c_List_Olist_ONil,X27,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f264,axiom,
! [X1,X27,X20] :
( c_List_Olist_ONil = X27
| ~ c_in(c_Pair(c_List_Olist_ONil,X27,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4299,plain,
spl0_527,
inference(avatar_split_clause,[],[f93,f4297]) ).
fof(f4297,plain,
( spl0_527
<=> ! [X28,X29,X27,X1] :
( c_List_Orev(X27,X1) != c_List_Olist_OCons(X29,X28,X1)
| c_append(c_List_Orev(X28,X1),c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) = X27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f93,axiom,
! [X28,X29,X1,X27] :
( c_List_Orev(X27,X1) != c_List_Olist_OCons(X29,X28,X1)
| c_append(c_List_Orev(X28,X1),c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4295,plain,
( ~ spl0_526
| spl0_304
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f4267,f4191,f2951,f4292]) ).
fof(f2951,plain,
( spl0_304
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f4267,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| spl0_304
| ~ spl0_521 ),
inference(resolution,[],[f4192,f2953]) ).
fof(f2953,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| spl0_304 ),
inference(avatar_component_clause,[],[f2951]) ).
fof(f4279,plain,
spl0_525,
inference(avatar_split_clause,[],[f69,f4277]) ).
fof(f4277,plain,
( spl0_525
<=> ! [X28,X9,X29,X27,X1] :
( X9 = X29
| c_append(X27,c_List_Olist_OCons(X9,c_List_Olist_ONil,X1),X1) != c_append(X28,c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f69,axiom,
! [X28,X29,X1,X9,X27] :
( X9 = X29
| c_append(X27,c_List_Olist_OCons(X9,c_List_Olist_ONil,X1),X1) != c_append(X28,c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4275,plain,
spl0_524,
inference(avatar_split_clause,[],[f68,f4273]) ).
fof(f4273,plain,
( spl0_524
<=> ! [X9,X29,X27,X28,X1] :
( X27 = X28
| c_append(X27,c_List_Olist_OCons(X9,c_List_Olist_ONil,X1),X1) != c_append(X28,c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f68,axiom,
! [X28,X29,X1,X9,X27] :
( X27 = X28
| c_append(X27,c_List_Olist_OCons(X9,c_List_Olist_ONil,X1),X1) != c_append(X28,c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4271,plain,
spl0_523,
inference(avatar_split_clause,[],[f47,f4269]) ).
fof(f4269,plain,
( spl0_523
<=> ! [X22,X1,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f47,axiom,
! [X1,X22,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4246,plain,
( spl0_522
| ~ spl0_383
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4218,f4167,f3314,f4244]) ).
fof(f4244,plain,
( spl0_522
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f3314,plain,
( spl0_383
<=> ! [X4,X1] : c_in(c_Pair(X4,X4,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f4167,plain,
( spl0_515
<=> ! [X4,X11,X12,X1,X20] :
( c_in(X4,c_Relation_ODomain(X20,X1,X11),X1)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f4218,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_383
| ~ spl0_515 ),
inference(resolution,[],[f4168,f3315]) ).
fof(f3315,plain,
( ! [X1,X4] : c_in(c_Pair(X4,X4,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f3314]) ).
fof(f4168,plain,
( ! [X11,X1,X4,X12,X20] :
( ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11))
| c_in(X4,c_Relation_ODomain(X20,X1,X11),X1) )
| ~ spl0_515 ),
inference(avatar_component_clause,[],[f4167]) ).
fof(f4193,plain,
spl0_521,
inference(avatar_split_clause,[],[f1373,f4191]) ).
fof(f1373,axiom,
! [X59,X1,X8,X7] :
( ~ c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f4189,plain,
spl0_520,
inference(avatar_split_clause,[],[f322,f4187]) ).
fof(f4187,plain,
( spl0_520
<=> ! [X19,X11,X12,X21,X1] :
( ~ c_in(X12,X21,X1)
| c_in(c_Sum__Type_OInr(X12,X1,X11),c_Sum__Type_OPlus(X19,X21,X11,X1),tc_sum(X11,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f322,axiom,
! [X21,X11,X1,X19,X12] :
( ~ c_in(X12,X21,X1)
| c_in(c_Sum__Type_OInr(X12,X1,X11),c_Sum__Type_OPlus(X19,X21,X11,X1),tc_sum(X11,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4185,plain,
spl0_519,
inference(avatar_split_clause,[],[f321,f4183]) ).
fof(f4183,plain,
( spl0_519
<=> ! [X4,X19,X11,X21,X1] :
( ~ c_in(X4,X19,X1)
| c_in(c_Sum__Type_OInl(X4,X1,X11),c_Sum__Type_OPlus(X19,X21,X1,X11),tc_sum(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f321,axiom,
! [X21,X11,X1,X19,X4] :
( ~ c_in(X4,X19,X1)
| c_in(c_Sum__Type_OInl(X4,X1,X11),c_Sum__Type_OPlus(X19,X21,X1,X11),tc_sum(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4181,plain,
spl0_518,
inference(avatar_split_clause,[],[f284,f4179]) ).
fof(f4179,plain,
( spl0_518
<=> ! [X4,X11,X20,X12,X1] :
( c_in(X12,c_Relation_ORange(X20,X1,X11),X11)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f284,axiom,
! [X11,X1,X4,X12,X20] :
( c_in(X12,c_Relation_ORange(X20,X1,X11),X11)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4177,plain,
spl0_517,
inference(avatar_split_clause,[],[f280,f4175]) ).
fof(f4175,plain,
( spl0_517
<=> ! [X19,X11,X12,X1,X20] :
( ~ c_in(X12,c_Relation_OImage(X20,X19,X11,X1),X1)
| c_in(c_Main_OImageE__1(X19,X12,X20,X11,X1),X19,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f280,axiom,
! [X11,X1,X19,X12,X20] :
( ~ c_in(X12,c_Relation_OImage(X20,X19,X11,X1),X1)
| c_in(c_Main_OImageE__1(X19,X12,X20,X11,X1),X19,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4173,plain,
spl0_516,
inference(avatar_split_clause,[],[f279,f4171]) ).
fof(f4171,plain,
( spl0_516
<=> ! [X1,X7] :
( ~ c_in(X7,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X7,X1),c_Main_OIdE__1(X7,X1),X1,X1) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f279,axiom,
! [X1,X7] :
( ~ c_in(X7,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X7,X1),c_Main_OIdE__1(X7,X1),X1,X1) = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4169,plain,
spl0_515,
inference(avatar_split_clause,[],[f278,f4167]) ).
fof(f278,axiom,
! [X11,X1,X4,X12,X20] :
( c_in(X4,c_Relation_ODomain(X20,X1,X11),X1)
| ~ c_in(c_Pair(X4,X12,X1,X11),X20,tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4165,plain,
spl0_514,
inference(avatar_split_clause,[],[f266,f4163]) ).
fof(f4163,plain,
( spl0_514
<=> ! [X9,X48,X1,X19] :
( c_in(X48,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X9,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f266,axiom,
! [X48,X1,X19,X9] :
( c_in(X48,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X9,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4161,plain,
( spl0_513
| ~ spl0_65
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f3840,f3800,f1686,f4159]) ).
fof(f4159,plain,
( spl0_513
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f1686,plain,
( spl0_65
<=> ! [X9,X1] : c_in(X9,c_UNIV,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f3800,plain,
( spl0_467
<=> ! [X27,X1,X19] :
( ~ c_in(c_Main_Oin__listsI__1(X19,X27,X1),X19,X1)
| c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f3840,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_65
| ~ spl0_467 ),
inference(resolution,[],[f3801,f1687]) ).
fof(f1687,plain,
( ! [X1,X9] : c_in(X9,c_UNIV,X1)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f3801,plain,
( ! [X1,X19,X27] :
( ~ c_in(c_Main_Oin__listsI__1(X19,X27,X1),X19,X1)
| c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1)) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f3800]) ).
fof(f4157,plain,
spl0_512,
inference(avatar_split_clause,[],[f254,f4155]) ).
fof(f4155,plain,
( spl0_512
<=> ! [X19,X27,X1,X47] :
( c_in(X47,X19,X1)
| ~ c_in(X47,c_List_Oset(X27,X1),X1)
| ~ c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f254,axiom,
! [X47,X1,X19,X27] :
( c_in(X47,X19,X1)
| ~ c_in(X47,c_List_Oset(X27,X1),X1)
| ~ c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4153,plain,
spl0_511,
inference(avatar_split_clause,[],[f193,f4151]) ).
fof(f4151,plain,
( spl0_511
<=> ! [X12,X4,X1,X19] :
( c_lessequals(X19,c_insert(X12,c_emptyset,X1),tc_set(X1))
| c_insert(X4,X19,X1) != c_insert(X12,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f193,axiom,
! [X1,X19,X4,X12] :
( c_lessequals(X19,c_insert(X12,c_emptyset,X1),tc_set(X1))
| c_insert(X4,X19,X1) != c_insert(X12,c_emptyset,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
fof(f4149,plain,
spl0_510,
inference(avatar_split_clause,[],[f191,f4147]) ).
fof(f4147,plain,
( spl0_510
<=> ! [X9,X1,X19] :
( ~ c_lessequals(X19,c_insert(X9,c_emptyset,X1),tc_set(X1))
| c_insert(X9,c_emptyset,X1) = c_insert(X9,X19,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f191,axiom,
! [X1,X19,X9] :
( ~ c_lessequals(X19,c_insert(X9,c_emptyset,X1),tc_set(X1))
| c_insert(X9,c_emptyset,X1) = c_insert(X9,X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
fof(f4145,plain,
spl0_509,
inference(avatar_split_clause,[],[f71,f4143]) ).
fof(f4143,plain,
( spl0_509
<=> ! [X27,X1,X28,X19] :
( c_in(X28,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f71,axiom,
! [X28,X1,X19,X27] :
( c_in(X28,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4141,plain,
spl0_508,
inference(avatar_split_clause,[],[f70,f4139]) ).
fof(f4139,plain,
( spl0_508
<=> ! [X28,X19,X27,X1] :
( c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f70,axiom,
! [X28,X1,X19,X27] :
( c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X27,X28,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4137,plain,
spl0_507,
inference(avatar_split_clause,[],[f52,f4135]) ).
fof(f4135,plain,
( spl0_507
<=> ! [X18,X24,X15] :
( ~ c_Divides_Oop_Advd(X15,X24,tc_nat)
| ~ c_Divides_Oop_Advd(X15,X18,tc_nat)
| c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f52,axiom,
! [X18,X15,X24] :
( ~ c_Divides_Oop_Advd(X15,X24,tc_nat)
| ~ c_Divides_Oop_Advd(X15,X18,tc_nat)
| c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4133,plain,
spl0_506,
inference(avatar_split_clause,[],[f49,f4131]) ).
fof(f4131,plain,
( spl0_506
<=> ! [X11,X20,X1] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(tc_prod(X11,X1)))
| c_in(c_Relation_Oconverse(X20,X11,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f49,axiom,
! [X11,X1,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(tc_prod(X11,X1)))
| c_in(c_Relation_Oconverse(X20,X11,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4129,plain,
spl0_505,
inference(avatar_split_clause,[],[f48,f4127]) ).
fof(f4127,plain,
( spl0_505
<=> ! [X11,X20,X1] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(tc_prod(X11,X1)))
| ~ c_in(c_Relation_Oconverse(X20,X11,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f48,axiom,
! [X11,X1,X20] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(tc_prod(X11,X1)))
| ~ c_in(c_Relation_Oconverse(X20,X11,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4091,plain,
spl0_504,
inference(avatar_split_clause,[],[f1368,f4089]) ).
fof(f4089,plain,
( spl0_504
<=> ! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Ofalse,X1),c_PropLog_Opl_Ofalse,X1),X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1368,axiom,
! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Ofalse,X1),c_PropLog_Opl_Ofalse,X1),X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_ODN_0) ).
fof(f4087,plain,
spl0_503,
inference(avatar_split_clause,[],[f289,f4085]) ).
fof(f4085,plain,
( spl0_503
<=> ! [X4,X1,X19] :
( ~ c_in(X4,X19,X1)
| c_in(c_Pair(X4,X4,X1,X1),c_Relation_Odiag(X19,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f289,axiom,
! [X1,X19,X4] :
( ~ c_in(X4,X19,X1)
| c_in(c_Pair(X4,X4,X1,X1),c_Relation_Odiag(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4083,plain,
( spl0_502
| ~ spl0_291
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f3977,f3901,f2898,f4081]) ).
fof(f4081,plain,
( spl0_502
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f2898,plain,
( spl0_291
<=> ! [X1,X19] : c_lessequals(X19,X19,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3901,plain,
( spl0_480
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X29,X9,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X9,X1),c_SetInterval_OgreaterThan(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f3977,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_291
| ~ spl0_480 ),
inference(resolution,[],[f3902,f2899]) ).
fof(f2899,plain,
( ! [X1,X19] : c_lessequals(X19,X19,tc_set(X1))
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f3902,plain,
( ! [X29,X1,X9] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X9,X1),c_SetInterval_OgreaterThan(X29,X1),tc_set(X1))
| c_lessequals(X29,X9,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f3901]) ).
fof(f4079,plain,
spl0_501,
inference(avatar_split_clause,[],[f255,f4077]) ).
fof(f4077,plain,
( spl0_501
<=> ! [X27,X1,X19] :
( c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X19,X27,X1),c_List_Oset(X27,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f255,axiom,
! [X1,X19,X27] :
( c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X19,X27,X1),c_List_Oset(X27,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4075,plain,
spl0_500,
inference(avatar_split_clause,[],[f169,f4073]) ).
fof(f4073,plain,
( spl0_500
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f169,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4071,plain,
spl0_499,
inference(avatar_split_clause,[],[f166,f4069]) ).
fof(f4069,plain,
( spl0_499
<=> ! [X21,X1,X19] :
( ~ c_lessequals(X21,X19,tc_set(X1))
| c_lessequals(c_uminus(X19,tc_set(X1)),c_uminus(X21,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f166,axiom,
! [X21,X1,X19] :
( ~ c_lessequals(X21,X19,tc_set(X1))
| c_lessequals(c_uminus(X19,tc_set(X1)),c_uminus(X21,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4067,plain,
spl0_498,
inference(avatar_split_clause,[],[f165,f4065]) ).
fof(f4065,plain,
( spl0_498
<=> ! [X21,X1,X19] :
( c_lessequals(X21,X19,tc_set(X1))
| ~ c_lessequals(c_uminus(X19,tc_set(X1)),c_uminus(X21,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f165,axiom,
! [X21,X1,X19] :
( c_lessequals(X21,X19,tc_set(X1))
| ~ c_lessequals(c_uminus(X19,tc_set(X1)),c_uminus(X21,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4063,plain,
spl0_497,
inference(avatar_split_clause,[],[f94,f4061]) ).
fof(f4061,plain,
( spl0_497
<=> ! [X29,X1,X28] : c_List_Olist_OCons(X29,X28,X1) = c_List_Orev(c_append(c_List_Orev(X28,X1),c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f94,axiom,
! [X28,X29,X1] : c_List_Olist_OCons(X29,X28,X1) = c_List_Orev(c_append(c_List_Orev(X28,X1),c_List_Olist_OCons(X29,c_List_Olist_ONil,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4059,plain,
spl0_496,
inference(avatar_split_clause,[],[f87,f4057]) ).
fof(f4057,plain,
( spl0_496
<=> ! [X27,X1] :
( c_List_Oremdups(X27,X1) = X27
| c_Nat_Osize(X27,tc_List_Olist(X1)) != c_Nat_Osize(c_List_Oremdups(X27,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f87,axiom,
! [X1,X27] :
( c_List_Oremdups(X27,X1) = X27
| c_Nat_Osize(X27,tc_List_Olist(X1)) != c_Nat_Osize(c_List_Oremdups(X27,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4055,plain,
spl0_495,
inference(avatar_split_clause,[],[f67,f4053]) ).
fof(f4053,plain,
( spl0_495
<=> ! [X20,X1,X28] : ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f67,axiom,
! [X28,X1,X20] : ~ c_in(c_Pair(c_List_Olist_ONil,X28,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4051,plain,
spl0_494,
inference(avatar_split_clause,[],[f61,f4049]) ).
fof(f4049,plain,
( spl0_494
<=> ! [X20,X27,X1] : ~ c_in(c_Pair(X27,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f61,axiom,
! [X1,X27,X20] : ~ c_in(c_Pair(X27,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X20,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f3955,plain,
spl0_493,
inference(avatar_split_clause,[],[f335,f3953]) ).
fof(f3953,plain,
( spl0_493
<=> ! [X55,X54,X11,X1] :
( ~ c_Wellfounded__Recursion_Owf(X54,X11)
| ~ c_Wellfounded__Recursion_Owf(X55,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X1,X11),tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f335,axiom,
! [X11,X1,X54,X55] :
( ~ c_Wellfounded__Recursion_Owf(X54,X11)
| ~ c_Wellfounded__Recursion_Owf(X55,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X55,X54,X1,X11),tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f3951,plain,
spl0_492,
inference(avatar_split_clause,[],[f333,f3949]) ).
fof(f3949,plain,
( spl0_492
<=> ! [X53,X11,X52,X1] :
( ~ c_Relation_Otrans(X52,X11)
| ~ c_Relation_Otrans(X53,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X1,X11),tc_prod(X1,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f333,axiom,
! [X11,X1,X52,X53] :
( ~ c_Relation_Otrans(X52,X11)
| ~ c_Relation_Otrans(X53,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X53,X52,X1,X11),tc_prod(X1,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f3947,plain,
spl0_491,
inference(avatar_split_clause,[],[f288,f3945]) ).
fof(f3945,plain,
( spl0_491
<=> ! [X1,X40,X19] :
( c_in(c_Main_OdiagE__1(X19,X40,X1),X19,X1)
| ~ c_in(X40,c_Relation_Odiag(X19,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f288,axiom,
! [X40,X1,X19] :
( c_in(c_Main_OdiagE__1(X19,X40,X1),X19,X1)
| ~ c_in(X40,c_Relation_Odiag(X19,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f3943,plain,
spl0_490,
inference(avatar_split_clause,[],[f204,f3941]) ).
fof(f3941,plain,
( spl0_490
<=> ! [X29,X20,X1,X9] :
( c_Wellfounded__Recursion_Owf(X20,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f204,axiom,
! [X29,X1,X9,X20] :
( c_Wellfounded__Recursion_Owf(X20,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f3939,plain,
( spl0_489
| ~ spl0_59
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f3861,f3816,f1662,f3937]) ).
fof(f3937,plain,
( spl0_489
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1662,plain,
( spl0_59
<=> ! [X4,X1] : ~ c_in(X4,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f3816,plain,
( spl0_471
<=> ! [X1,X19,X42] :
( ~ c_in(X19,c_Union(X42,X1),X1)
| c_in(c_Main_OUnionE__1(X19,X42,X1),X42,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f3861,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_59
| ~ spl0_471 ),
inference(resolution,[],[f3817,f1663]) ).
fof(f1663,plain,
( ! [X1,X4] : ~ c_in(X4,c_emptyset,X1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f3817,plain,
( ! [X1,X19,X42] :
( c_in(c_Main_OUnionE__1(X19,X42,X1),X42,tc_set(X1))
| ~ c_in(X19,c_Union(X42,X1),X1) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f3816]) ).
fof(f3935,plain,
spl0_488,
inference(avatar_split_clause,[],[f201,f3933]) ).
fof(f3933,plain,
( spl0_488
<=> ! [X29,X20,X1,X9] :
( c_Wellfounded__Recursion_Oacyclic(X20,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f201,axiom,
! [X29,X1,X9,X20] :
( c_Wellfounded__Recursion_Oacyclic(X20,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X29,X9,X1,X1),X20,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f3931,plain,
spl0_487,
inference(avatar_split_clause,[],[f183,f3929]) ).
fof(f3929,plain,
( spl0_487
<=> ! [X41,X19,X42,X1] :
( ~ c_in(X19,X41,X1)
| ~ c_in(X41,X42,tc_set(X1))
| c_in(X19,c_Union(X42,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f183,axiom,
! [X41,X1,X19,X42] :
( ~ c_in(X19,X41,X1)
| ~ c_in(X41,X42,tc_set(X1))
| c_in(X19,c_Union(X42,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f3927,plain,
spl0_486,
inference(avatar_split_clause,[],[f179,f3925]) ).
fof(f3925,plain,
( spl0_486
<=> ! [X40,X19,X21,X1] :
( c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| ~ c_in(X40,c_union(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f179,axiom,
! [X40,X21,X1,X19] :
( c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| ~ c_in(X40,c_union(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f3923,plain,
spl0_485,
inference(avatar_split_clause,[],[f173,f3921]) ).
fof(f3921,plain,
( spl0_485
<=> ! [X41,X19,X42,X1] :
( c_in(X19,X41,X1)
| ~ c_in(X41,X42,tc_set(X1))
| ~ c_in(X19,c_Inter(X42,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f173,axiom,
! [X41,X1,X19,X42] :
( c_in(X19,X41,X1)
| ~ c_in(X41,X42,tc_set(X1))
| ~ c_in(X19,c_Inter(X42,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f3919,plain,
spl0_484,
inference(avatar_split_clause,[],[f172,f3917]) ).
fof(f3917,plain,
( spl0_484
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X21,X1)
| ~ c_in(X40,X19,X1)
| c_in(X40,c_inter(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f172,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X21,X1)
| ~ c_in(X40,X19,X1)
| c_in(X40,c_inter(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f3915,plain,
spl0_483,
inference(avatar_split_clause,[],[f161,f3913]) ).
fof(f3913,plain,
( spl0_483
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X9,X29,X1)
| c_lessequals(c_SetInterval_OlessThan(X9,X1),c_SetInterval_OlessThan(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f161,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X9,X29,X1)
| c_lessequals(c_SetInterval_OlessThan(X9,X1),c_SetInterval_OlessThan(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f3911,plain,
spl0_482,
inference(avatar_split_clause,[],[f160,f3909]) ).
fof(f3909,plain,
( spl0_482
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X9,X29,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X9,X1),c_SetInterval_OlessThan(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f160,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X9,X29,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X9,X1),c_SetInterval_OlessThan(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f3907,plain,
spl0_481,
inference(avatar_split_clause,[],[f156,f3905]) ).
fof(f3905,plain,
( spl0_481
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X29,X9,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X9,X1),c_SetInterval_OgreaterThan(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f156,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X29,X9,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X9,X1),c_SetInterval_OgreaterThan(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f3903,plain,
spl0_480,
inference(avatar_split_clause,[],[f155,f3901]) ).
fof(f155,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X29,X9,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X9,X1),c_SetInterval_OgreaterThan(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f3899,plain,
spl0_479,
inference(avatar_split_clause,[],[f151,f3897]) ).
fof(f3897,plain,
( spl0_479
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X9,X29,X1)
| c_lessequals(c_SetInterval_OatMost(X9,X1),c_SetInterval_OatMost(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f151,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X9,X29,X1)
| c_lessequals(c_SetInterval_OatMost(X9,X1),c_SetInterval_OatMost(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f3895,plain,
( spl0_478
| ~ spl0_59
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f3847,f3808,f1662,f3893]) ).
fof(f3893,plain,
( spl0_478
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f3808,plain,
( spl0_469
<=> ! [X1,X19,X42] :
( c_in(X19,c_Inter(X42,X1),X1)
| c_in(c_Main_OInterI__1(X19,X42,X1),X42,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f3847,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_59
| ~ spl0_469 ),
inference(resolution,[],[f3809,f1663]) ).
fof(f3809,plain,
( ! [X1,X19,X42] :
( c_in(c_Main_OInterI__1(X19,X42,X1),X42,tc_set(X1))
| c_in(X19,c_Inter(X42,X1),X1) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f3808]) ).
fof(f3891,plain,
spl0_477,
inference(avatar_split_clause,[],[f150,f3889]) ).
fof(f3889,plain,
( spl0_477
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X9,X29,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X9,X1),c_SetInterval_OatMost(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f150,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X9,X29,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X9,X1),c_SetInterval_OatMost(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f3887,plain,
spl0_476,
inference(avatar_split_clause,[],[f146,f3885]) ).
fof(f3885,plain,
( spl0_476
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X29,X9,X1)
| c_lessequals(c_SetInterval_OatLeast(X9,X1),c_SetInterval_OatLeast(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f146,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X29,X9,X1)
| c_lessequals(c_SetInterval_OatLeast(X9,X1),c_SetInterval_OatLeast(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f3883,plain,
spl0_475,
inference(avatar_split_clause,[],[f145,f3881]) ).
fof(f3881,plain,
( spl0_475
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X29,X9,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X9,X1),c_SetInterval_OatLeast(X29,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f145,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X29,X9,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X9,X1),c_SetInterval_OatLeast(X29,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f3879,plain,
spl0_474,
inference(avatar_split_clause,[],[f114,f3877]) ).
fof(f3877,plain,
( spl0_474
<=> ! [X18,X24] :
( c_less(c_0,X18,tc_nat)
| c_less(c_0,X24,tc_nat)
| ~ c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f114,axiom,
! [X18,X24] :
( c_less(c_0,X18,tc_nat)
| c_less(c_0,X24,tc_nat)
| ~ c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f3834,plain,
( spl0_473
| ~ spl0_290
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f3759,f3730,f2894,f3832]) ).
fof(f3832,plain,
( spl0_473
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f2894,plain,
( spl0_290
<=> ! [X1,X19] : c_lessequals(c_emptyset,X19,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f3730,plain,
( spl0_455
<=> ! [X21,X1,X19] :
( X19 = X21
| ~ c_lessequals(X19,X21,tc_set(X1))
| ~ c_lessequals(X21,X19,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f3759,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_290
| ~ spl0_455 ),
inference(resolution,[],[f3731,f2895]) ).
fof(f2895,plain,
( ! [X1,X19] : c_lessequals(c_emptyset,X19,tc_set(X1))
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f3731,plain,
( ! [X21,X1,X19] :
( ~ c_lessequals(X21,X19,tc_set(X1))
| ~ c_lessequals(X19,X21,tc_set(X1))
| X19 = X21 )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f3730]) ).
fof(f3822,plain,
spl0_472,
inference(avatar_split_clause,[],[f327,f3820]) ).
fof(f3820,plain,
( spl0_472
<=> ! [X20,X1,X7] :
( ~ c_in(X7,X20,tc_prod(X1,X1))
| c_in(X7,c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f327,axiom,
! [X1,X7,X20] :
( ~ c_in(X7,X20,tc_prod(X1,X1))
| c_in(X7,c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3818,plain,
spl0_471,
inference(avatar_split_clause,[],[f307,f3816]) ).
fof(f307,axiom,
! [X1,X19,X42] :
( ~ c_in(X19,c_Union(X42,X1),X1)
| c_in(c_Main_OUnionE__1(X19,X42,X1),X42,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3814,plain,
( spl0_470
| ~ spl0_290
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f3751,f3721,f2894,f3812]) ).
fof(f3812,plain,
( spl0_470
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f3721,plain,
( spl0_453
<=> ! [X21,X1,X19] :
( X19 = X21
| ~ c_lessequals(X19,X21,tc_set(X1))
| c_less(X19,X21,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f3751,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_290
| ~ spl0_453 ),
inference(resolution,[],[f3722,f2895]) ).
fof(f3722,plain,
( ! [X21,X1,X19] :
( ~ c_lessequals(X19,X21,tc_set(X1))
| X19 = X21
| c_less(X19,X21,tc_set(X1)) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f3721]) ).
fof(f3810,plain,
spl0_469,
inference(avatar_split_clause,[],[f304,f3808]) ).
fof(f304,axiom,
! [X1,X19,X42] :
( c_in(X19,c_Inter(X42,X1),X1)
| c_in(c_Main_OInterI__1(X19,X42,X1),X42,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3806,plain,
spl0_468,
inference(avatar_split_clause,[],[f267,f3804]) ).
fof(f3804,plain,
( spl0_468
<=> ! [X48,X19,X9,X1] :
( c_in(X9,X19,X1)
| ~ c_in(c_List_Olist_OCons(X9,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f267,axiom,
! [X48,X1,X19,X9] :
( c_in(X9,X19,X1)
| ~ c_in(c_List_Olist_OCons(X9,X48,X1),c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3802,plain,
spl0_467,
inference(avatar_split_clause,[],[f256,f3800]) ).
fof(f256,axiom,
! [X1,X19,X27] :
( ~ c_in(c_Main_Oin__listsI__1(X19,X27,X1),X19,X1)
| c_in(X27,c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3798,plain,
spl0_466,
inference(avatar_split_clause,[],[f251,f3796]) ).
fof(f3796,plain,
( spl0_466
<=> ! [X45,X18] :
( c_0 != c_Divides_Oop_Amod(X18,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X18),tc_IntDef_Oint) = X18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f251,axiom,
! [X18,X45] :
( c_0 != c_Divides_Oop_Amod(X18,X45,tc_IntDef_Oint)
| c_times(X45,c_Main_Ozmod__eq__0D__dest__1(X45,X18),tc_IntDef_Oint) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3794,plain,
spl0_465,
inference(avatar_split_clause,[],[f235,f3792]) ).
fof(f3792,plain,
( spl0_465
<=> ! [X45,X18] :
( c_0 != c_Divides_Oop_Amod(X18,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X18),tc_nat) = X18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f235,axiom,
! [X18,X45] :
( c_0 != c_Divides_Oop_Amod(X18,X45,tc_nat)
| c_times(X45,c_Main_Omod__eq__0D__dest__1(X45,X18),tc_nat) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3790,plain,
spl0_464,
inference(avatar_split_clause,[],[f208,f3788]) ).
fof(f3788,plain,
( spl0_464
<=> ! [X29,X9] :
( ~ c_less(X9,X29,tc_nat)
| c_in(c_Pair(X9,X29,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f208,axiom,
! [X29,X9] :
( ~ c_less(X9,X29,tc_nat)
| c_in(c_Pair(X9,X29,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f3786,plain,
spl0_463,
inference(avatar_split_clause,[],[f207,f3784]) ).
fof(f3784,plain,
( spl0_463
<=> ! [X29,X9] :
( c_less(X9,X29,tc_nat)
| ~ c_in(c_Pair(X9,X29,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f207,axiom,
! [X29,X9] :
( c_less(X9,X29,tc_nat)
| ~ c_in(c_Pair(X9,X29,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f3782,plain,
spl0_462,
inference(avatar_split_clause,[],[f187,f3780]) ).
fof(f3780,plain,
( spl0_462
<=> ! [X4,X19,X12,X1] :
( X4 = X12
| c_in(X4,X19,X1)
| ~ c_in(X4,c_insert(X12,X19,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f187,axiom,
! [X1,X19,X4,X12] :
( X4 = X12
| c_in(X4,X19,X1)
| ~ c_in(X4,c_insert(X12,X19,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3778,plain,
spl0_461,
inference(avatar_split_clause,[],[f135,f3776]) ).
fof(f3776,plain,
( spl0_461
<=> ! [X4,X11,X0,X12,X39,X1] :
( X12 = X39
| c_Pair(X4,X12,X1,X11) != c_Pair(X0,X39,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f135,axiom,
! [X39,X0,X11,X1,X4,X12] :
( X12 = X39
| c_Pair(X4,X12,X1,X11) != c_Pair(X0,X39,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3774,plain,
spl0_460,
inference(avatar_split_clause,[],[f134,f3772]) ).
fof(f3772,plain,
( spl0_460
<=> ! [X4,X11,X0,X12,X1,X39] :
( X0 = X4
| c_Pair(X4,X12,X1,X11) != c_Pair(X0,X39,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f134,axiom,
! [X39,X0,X11,X1,X4,X12] :
( X0 = X4
| c_Pair(X4,X12,X1,X11) != c_Pair(X0,X39,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3770,plain,
spl0_459,
inference(avatar_split_clause,[],[f29,f3768]) ).
fof(f3768,plain,
( spl0_459
<=> ! [X17,X11,X14,X13,X16,X1] :
( X14 = X17
| c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OScons(X16,X17,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f29,axiom,
! [X11,X1,X16,X14,X17,X13] :
( X14 = X17
| c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OScons(X16,X17,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3766,plain,
spl0_458,
inference(avatar_split_clause,[],[f28,f3764]) ).
fof(f3764,plain,
( spl0_458
<=> ! [X17,X11,X13,X14,X16,X1] :
( X13 = X16
| c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OScons(X16,X17,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f28,axiom,
! [X11,X1,X16,X14,X17,X13] :
( X13 = X16
| c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OScons(X16,X17,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3750,plain,
( spl0_457
| ~ spl0_384
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f3728,f3685,f3318,f3748]) ).
fof(f3748,plain,
( spl0_457
<=> ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f3318,plain,
( spl0_384
<=> ! [X21,X1,X19] :
( ~ c_less(X19,X21,tc_set(X1))
| ~ c_lessequals(X21,X19,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f3685,plain,
( spl0_444
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f3728,plain,
( ! [X0,X1] : ~ c_less(c_UNIV,X0,tc_set(X1))
| ~ spl0_384
| ~ spl0_444 ),
inference(resolution,[],[f3686,f3319]) ).
fof(f3319,plain,
( ! [X21,X1,X19] :
( ~ c_lessequals(X21,X19,tc_set(X1))
| ~ c_less(X19,X21,tc_set(X1)) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f3318]) ).
fof(f3686,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f3685]) ).
fof(f3736,plain,
spl0_456,
inference(avatar_split_clause,[],[f1369,f3734]) ).
fof(f3734,plain,
( spl0_456
<=> ! [X59,X7,X8,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Oop_A_N_62(X59,X7,X1),X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1369,axiom,
! [X59,X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Oop_A_N_62(X59,X7,X1),X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
fof(f3732,plain,
spl0_455,
inference(avatar_split_clause,[],[f319,f3730]) ).
fof(f319,axiom,
! [X21,X1,X19] :
( X19 = X21
| ~ c_lessequals(X19,X21,tc_set(X1))
| ~ c_lessequals(X21,X19,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3727,plain,
spl0_454,
inference(avatar_split_clause,[],[f316,f3725]) ).
fof(f3725,plain,
( spl0_454
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| ~ c_lessequals(X19,X21,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f316,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X19,X1)
| c_in(X40,X21,X1)
| ~ c_lessequals(X19,X21,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3723,plain,
spl0_453,
inference(avatar_split_clause,[],[f312,f3721]) ).
fof(f312,axiom,
! [X21,X1,X19] :
( X19 = X21
| ~ c_lessequals(X19,X21,tc_set(X1))
| c_less(X19,X21,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3719,plain,
spl0_452,
inference(avatar_split_clause,[],[f308,f3717]) ).
fof(f3717,plain,
( spl0_452
<=> ! [X1,X19,X42] :
( ~ c_in(X19,c_Union(X42,X1),X1)
| c_in(X19,c_Main_OUnionE__1(X19,X42,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f308,axiom,
! [X1,X19,X42] :
( ~ c_in(X19,c_Union(X42,X1),X1)
| c_in(X19,c_Main_OUnionE__1(X19,X42,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3715,plain,
spl0_451,
inference(avatar_split_clause,[],[f305,f3713]) ).
fof(f3713,plain,
( spl0_451
<=> ! [X1,X19,X42] :
( c_in(X19,c_Inter(X42,X1),X1)
| ~ c_in(X19,c_Main_OInterI__1(X19,X42,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f305,axiom,
! [X1,X19,X42] :
( c_in(X19,c_Inter(X42,X1),X1)
| ~ c_in(X19,c_Main_OInterI__1(X19,X42,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3711,plain,
spl0_450,
inference(avatar_split_clause,[],[f239,f3709]) ).
fof(f3709,plain,
( spl0_450
<=> ! [X22,X1,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f239,axiom,
! [X1,X22,X23] :
( ~ c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3707,plain,
spl0_449,
inference(avatar_split_clause,[],[f238,f3705]) ).
fof(f3705,plain,
( spl0_449
<=> ! [X22,X1,X23] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f238,axiom,
! [X1,X22,X23] :
( ~ c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3703,plain,
spl0_448,
inference(avatar_split_clause,[],[f237,f3701]) ).
fof(f3701,plain,
( spl0_448
<=> ! [X4,X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X4,X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f237,axiom,
! [X1,X19,X4] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X4,X19,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3699,plain,
spl0_447,
inference(avatar_split_clause,[],[f141,f3697]) ).
fof(f3697,plain,
( spl0_447
<=> ! [X4,X12,X1] :
( X4 = X12
| ~ c_in(c_Pair(X4,X12,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f141,axiom,
! [X1,X4,X12] :
( X4 = X12
| ~ c_in(c_Pair(X4,X12,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3695,plain,
spl0_446,
inference(avatar_split_clause,[],[f51,f3693]) ).
fof(f3693,plain,
( spl0_446
<=> ! [X18,X24,X15] :
( c_Divides_Oop_Advd(X15,X24,tc_nat)
| ~ c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f51,axiom,
! [X18,X15,X24] :
( c_Divides_Oop_Advd(X15,X24,tc_nat)
| ~ c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3691,plain,
spl0_445,
inference(avatar_split_clause,[],[f50,f3689]) ).
fof(f3689,plain,
( spl0_445
<=> ! [X18,X24,X15] :
( c_Divides_Oop_Advd(X15,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f50,axiom,
! [X18,X15,X24] :
( c_Divides_Oop_Advd(X15,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X15,c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3687,plain,
( spl0_444
| ~ spl0_65
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f3661,f3580,f1686,f3685]) ).
fof(f3580,plain,
( spl0_437
<=> ! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X19,X21,X1),X21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f3661,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_65
| ~ spl0_437 ),
inference(resolution,[],[f3581,f1687]) ).
fof(f3581,plain,
( ! [X21,X1,X19] :
( ~ c_in(c_Main_OsubsetI__1(X19,X21,X1),X21,X1)
| c_lessequals(X19,X21,tc_set(X1)) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f3580]) ).
fof(f3683,plain,
spl0_443,
inference(avatar_split_clause,[],[f46,f3681]) ).
fof(f3681,plain,
( spl0_443
<=> ! [X22,X1,X23] :
( c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f46,axiom,
! [X1,X22,X23] :
( c_in(X23,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3679,plain,
spl0_442,
inference(avatar_split_clause,[],[f45,f3677]) ).
fof(f3677,plain,
( spl0_442
<=> ! [X22,X1,X23] :
( c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f45,axiom,
! [X1,X22,X23] :
( c_in(X22,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X22,X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3675,plain,
spl0_441,
inference(avatar_split_clause,[],[f44,f3673]) ).
fof(f3673,plain,
( spl0_441
<=> ! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X19,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f44,axiom,
! [X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X19,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3671,plain,
spl0_440,
inference(avatar_split_clause,[],[f43,f3669]) ).
fof(f3669,plain,
( spl0_440
<=> ! [X1,X19] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X19,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f43,axiom,
! [X1,X19] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X19,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3613,plain,
( ~ spl0_439
| spl0_304
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f3593,f3437,f2951,f3610]) ).
fof(f3610,plain,
( spl0_439
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),v_H,tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f3437,plain,
( spl0_403
<=> ! [X1,X8,X7] :
( ~ c_in(X7,X8,tc_PropLog_Opl(X1))
| c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f3593,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),v_H,tc_PropLog_Opl(t_a))
| spl0_304
| ~ spl0_403 ),
inference(resolution,[],[f3438,f2953]) ).
fof(f3438,plain,
( ! [X1,X8,X7] :
( c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
| ~ c_in(X7,X8,tc_PropLog_Opl(X1)) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f3437]) ).
fof(f3586,plain,
spl0_438,
inference(avatar_split_clause,[],[f328,f3584]) ).
fof(f3584,plain,
( spl0_438
<=> ! [X20,X1,X4] : c_in(c_Pair(X4,X4,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f328,axiom,
! [X1,X4,X20] : c_in(c_Pair(X4,X4,X1,X1),c_Transitive__Closure_Ortrancl(X20,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3582,plain,
spl0_437,
inference(avatar_split_clause,[],[f318,f3580]) ).
fof(f318,axiom,
! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X19,X21,X1),X21,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3578,plain,
spl0_436,
inference(avatar_split_clause,[],[f317,f3576]) ).
fof(f3576,plain,
( spl0_436
<=> ! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X19,X21,X1),X19,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f317,axiom,
! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X19,X21,X1),X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3574,plain,
spl0_435,
inference(avatar_split_clause,[],[f257,f3572]) ).
fof(f3572,plain,
( spl0_435
<=> ! [X27,X1] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X27,X1),tc_List_Olist(X1)),c_Nat_Osize(X27,tc_List_Olist(X1)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f257,axiom,
! [X1,X27] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X27,X1),tc_List_Olist(X1)),c_Nat_Osize(X27,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3570,plain,
spl0_434,
inference(avatar_split_clause,[],[f210,f3568]) ).
fof(f3568,plain,
( spl0_434
<=> ! [X9,X11,X29,X1] :
( X9 = X29
| c_Datatype__Universe_ONumb(X9,X1,X11) != c_Datatype__Universe_ONumb(X29,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f210,axiom,
! [X29,X11,X1,X9] :
( X9 = X29
| c_Datatype__Universe_ONumb(X9,X1,X11) != c_Datatype__Universe_ONumb(X29,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3566,plain,
spl0_433,
inference(avatar_split_clause,[],[f209,f3564]) ).
fof(f3564,plain,
( spl0_433
<=> ! [X9,X11,X29,X1] :
( X9 = X29
| c_Datatype__Universe_OLeaf(X9,X1,X11) != c_Datatype__Universe_OLeaf(X29,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f209,axiom,
! [X29,X11,X1,X9] :
( X9 = X29
| c_Datatype__Universe_OLeaf(X9,X1,X11) != c_Datatype__Universe_OLeaf(X29,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3562,plain,
spl0_432,
inference(avatar_split_clause,[],[f197,f3560]) ).
fof(f3560,plain,
( spl0_432
<=> ! [X9,X11,X29,X1] :
( X9 = X29
| c_Sum__Type_OInr(X9,X11,X1) != c_Sum__Type_OInr(X29,X11,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f197,axiom,
! [X29,X11,X1,X9] :
( X9 = X29
| c_Sum__Type_OInr(X9,X11,X1) != c_Sum__Type_OInr(X29,X11,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3558,plain,
spl0_431,
inference(avatar_split_clause,[],[f195,f3556]) ).
fof(f3556,plain,
( spl0_431
<=> ! [X9,X11,X29,X1] :
( X9 = X29
| c_Sum__Type_OInl(X9,X1,X11) != c_Sum__Type_OInl(X29,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f195,axiom,
! [X29,X11,X1,X9] :
( X9 = X29
| c_Sum__Type_OInl(X9,X1,X11) != c_Sum__Type_OInl(X29,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3554,plain,
spl0_430,
inference(avatar_split_clause,[],[f192,f3552]) ).
fof(f3552,plain,
( spl0_430
<=> ! [X4,X19,X12,X1] :
( X4 = X12
| c_insert(X4,X19,X1) != c_insert(X12,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f192,axiom,
! [X1,X19,X4,X12] :
( X4 = X12
| c_insert(X4,X19,X1) != c_insert(X12,c_emptyset,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
fof(f3550,plain,
spl0_429,
inference(avatar_split_clause,[],[f175,f3548]) ).
fof(f3548,plain,
( spl0_429
<=> ! [X21,X1,X19] :
( ~ c_lessequals(X19,X21,tc_set(X1))
| c_in(X19,c_Pow(X21,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f175,axiom,
! [X21,X1,X19] :
( ~ c_lessequals(X19,X21,tc_set(X1))
| c_in(X19,c_Pow(X21,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3546,plain,
( spl0_428
| ~ spl0_61
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f3496,f3351,f1670,f3543]) ).
fof(f3543,plain,
( spl0_428
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1670,plain,
( spl0_61
<=> ! [X18] : c_Divides_Oop_Advd(X18,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3351,plain,
( spl0_388
<=> ! [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_388])]) ).
fof(f3496,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_61
| ~ spl0_388 ),
inference(resolution,[],[f3352,f1671]) ).
fof(f1671,plain,
( ! [X18] : c_Divides_Oop_Advd(X18,c_0,tc_IntDef_Oint)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f3352,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f3541,plain,
spl0_427,
inference(avatar_split_clause,[],[f174,f3539]) ).
fof(f3539,plain,
( spl0_427
<=> ! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| ~ c_in(X19,c_Pow(X21,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f174,axiom,
! [X21,X1,X19] :
( c_lessequals(X19,X21,tc_set(X1))
| ~ c_in(X19,c_Pow(X21,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3537,plain,
spl0_426,
inference(avatar_split_clause,[],[f168,f3535]) ).
fof(f3535,plain,
( spl0_426
<=> ! [X40,X19,X21,X1] :
( c_in(X40,X19,X1)
| ~ c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f168,axiom,
! [X40,X21,X1,X19] :
( c_in(X40,X19,X1)
| ~ c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3533,plain,
spl0_425,
inference(avatar_split_clause,[],[f167,f3531]) ).
fof(f3531,plain,
( spl0_425
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X21,X1)
| ~ c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f167,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X21,X1)
| ~ c_in(X40,c_minus(X19,X21,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3529,plain,
spl0_424,
inference(avatar_split_clause,[],[f164,f3527]) ).
fof(f3527,plain,
( spl0_424
<=> ! [X21,X1,X19] :
( X19 = X21
| c_uminus(X19,tc_set(X1)) != c_uminus(X21,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f164,axiom,
! [X21,X1,X19] :
( X19 = X21
| c_uminus(X19,tc_set(X1)) != c_uminus(X21,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3525,plain,
spl0_423,
inference(avatar_split_clause,[],[f159,f3523]) ).
fof(f3523,plain,
( spl0_423
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X37,X15,X1)
| c_in(X37,c_SetInterval_OlessThan(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f159,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X37,X15,X1)
| c_in(X37,c_SetInterval_OlessThan(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3521,plain,
spl0_422,
inference(avatar_split_clause,[],[f158,f3519]) ).
fof(f3519,plain,
( spl0_422
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| c_less(X37,X15,X1)
| ~ c_in(X37,c_SetInterval_OlessThan(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f158,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| c_less(X37,X15,X1)
| ~ c_in(X37,c_SetInterval_OlessThan(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3517,plain,
spl0_421,
inference(avatar_split_clause,[],[f157,f3515]) ).
fof(f3515,plain,
( spl0_421
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OlessThan(X9,X1) != c_SetInterval_OlessThan(X29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f157,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OlessThan(X9,X1) != c_SetInterval_OlessThan(X29,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3513,plain,
spl0_420,
inference(avatar_split_clause,[],[f154,f3511]) ).
fof(f3511,plain,
( spl0_420
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X15,X37,X1)
| c_in(X37,c_SetInterval_OgreaterThan(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f154,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X15,X37,X1)
| c_in(X37,c_SetInterval_OgreaterThan(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3509,plain,
spl0_419,
inference(avatar_split_clause,[],[f153,f3507]) ).
fof(f3507,plain,
( spl0_419
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| c_less(X15,X37,X1)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f153,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| c_less(X15,X37,X1)
| ~ c_in(X37,c_SetInterval_OgreaterThan(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3505,plain,
spl0_418,
inference(avatar_split_clause,[],[f152,f3503]) ).
fof(f3503,plain,
( spl0_418
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OgreaterThan(X9,X1) != c_SetInterval_OgreaterThan(X29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f152,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OgreaterThan(X9,X1) != c_SetInterval_OgreaterThan(X29,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3495,plain,
spl0_417,
inference(avatar_split_clause,[],[f149,f3493]) ).
fof(f3493,plain,
( spl0_417
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X37,X15,X1)
| c_in(X37,c_SetInterval_OatMost(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f149,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X37,X15,X1)
| c_in(X37,c_SetInterval_OatMost(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3491,plain,
spl0_416,
inference(avatar_split_clause,[],[f148,f3489]) ).
fof(f3489,plain,
( spl0_416
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X37,X15,X1)
| ~ c_in(X37,c_SetInterval_OatMost(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f148,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X37,X15,X1)
| ~ c_in(X37,c_SetInterval_OatMost(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3487,plain,
spl0_415,
inference(avatar_split_clause,[],[f147,f3485]) ).
fof(f3485,plain,
( spl0_415
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OatMost(X9,X1) != c_SetInterval_OatMost(X29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f147,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OatMost(X9,X1) != c_SetInterval_OatMost(X29,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3483,plain,
spl0_414,
inference(avatar_split_clause,[],[f144,f3481]) ).
fof(f3481,plain,
( spl0_414
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X15,X37,X1)
| c_in(X37,c_SetInterval_OatLeast(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f144,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X15,X37,X1)
| c_in(X37,c_SetInterval_OatLeast(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3479,plain,
spl0_413,
inference(avatar_split_clause,[],[f143,f3477]) ).
fof(f3477,plain,
( spl0_413
<=> ! [X37,X1,X15] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X15,X37,X1)
| ~ c_in(X37,c_SetInterval_OatLeast(X15,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f143,axiom,
! [X1,X37,X15] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X15,X37,X1)
| ~ c_in(X37,c_SetInterval_OatLeast(X15,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3475,plain,
spl0_412,
inference(avatar_split_clause,[],[f142,f3473]) ).
fof(f3473,plain,
( spl0_412
<=> ! [X29,X9,X1] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OatLeast(X9,X1) != c_SetInterval_OatLeast(X29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f142,axiom,
! [X29,X1,X9] :
( ~ class_Orderings_Olinorder(X1)
| X9 = X29
| c_SetInterval_OatLeast(X9,X1) != c_SetInterval_OatLeast(X29,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3471,plain,
spl0_411,
inference(avatar_split_clause,[],[f98,f3469]) ).
fof(f3469,plain,
( spl0_411
<=> ! [X30,X27,X28,X1] :
( X28 = X30
| c_append(X27,X28,X1) != c_append(X27,X30,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f98,axiom,
! [X28,X1,X27,X30] :
( X28 = X30
| c_append(X27,X28,X1) != c_append(X27,X30,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3467,plain,
spl0_410,
inference(avatar_split_clause,[],[f92,f3465]) ).
fof(f3465,plain,
( spl0_410
<=> ! [X35,X4,X0,X36,X1] :
( X35 = X36
| c_List_Olist_OCons(X0,X35,X1) != c_List_Olist_OCons(X4,X36,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f92,axiom,
! [X0,X36,X1,X4,X35] :
( X35 = X36
| c_List_Olist_OCons(X0,X35,X1) != c_List_Olist_OCons(X4,X36,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3463,plain,
spl0_409,
inference(avatar_split_clause,[],[f91,f3461]) ).
fof(f3461,plain,
( spl0_409
<=> ! [X35,X4,X0,X36,X1] :
( X0 = X4
| c_List_Olist_OCons(X0,X35,X1) != c_List_Olist_OCons(X4,X36,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f91,axiom,
! [X0,X36,X1,X4,X35] :
( X0 = X4
| c_List_Olist_OCons(X0,X35,X1) != c_List_Olist_OCons(X4,X36,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3459,plain,
spl0_408,
inference(avatar_split_clause,[],[f76,f3457]) ).
fof(f3457,plain,
( spl0_408
<=> ! [X30,X27,X28,X1] :
( X28 = X30
| c_append(X28,X27,X1) != c_append(X30,X27,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f76,axiom,
! [X28,X1,X27,X30] :
( X28 = X30
| c_append(X28,X27,X1) != c_append(X30,X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3455,plain,
( spl0_407
| ~ spl0_316
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f3348,f3274,f3000,f3453]) ).
fof(f3453,plain,
( spl0_407
<=> ! [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_407])]) ).
fof(f3000,plain,
( spl0_316
<=> ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3274,plain,
( spl0_373
<=> ! [X25,X26] :
( c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X25,tc_IntDef_Oint),X26,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f3348,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_373 ),
inference(resolution,[],[f3275,f3001]) ).
fof(f3001,plain,
( ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3000]) ).
fof(f3275,plain,
( ! [X26,X25] :
( ~ c_Divides_Oop_Advd(c_uminus(X25,tc_IntDef_Oint),X26,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f3274]) ).
fof(f3451,plain,
spl0_406,
inference(avatar_split_clause,[],[f22,f3449]) ).
fof(f3449,plain,
( spl0_406
<=> ! [X11,X13,X14,X1] :
( X13 = X14
| c_Datatype__Universe_OIn1(X14,X1,X11) != c_Datatype__Universe_OIn1(X13,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f22,axiom,
! [X11,X1,X14,X13] :
( X13 = X14
| c_Datatype__Universe_OIn1(X14,X1,X11) != c_Datatype__Universe_OIn1(X13,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3447,plain,
spl0_405,
inference(avatar_split_clause,[],[f20,f3445]) ).
fof(f3445,plain,
( spl0_405
<=> ! [X11,X13,X14,X1] :
( X13 = X14
| c_Datatype__Universe_OIn0(X13,X1,X11) != c_Datatype__Universe_OIn0(X14,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f20,axiom,
! [X11,X1,X14,X13] :
( X13 = X14
| c_Datatype__Universe_OIn0(X13,X1,X11) != c_Datatype__Universe_OIn0(X14,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3443,plain,
spl0_404,
inference(avatar_split_clause,[],[f18,f3441]) ).
fof(f3441,plain,
( spl0_404
<=> ! [X4,X11,X12,X1] :
( X4 = X12
| c_Datatype__Universe_OAtom(X4,X1,X11) != c_Datatype__Universe_OAtom(X12,X1,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f18,axiom,
! [X11,X1,X4,X12] :
( X4 = X12
| c_Datatype__Universe_OAtom(X4,X1,X11) != c_Datatype__Universe_OAtom(X12,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3439,plain,
spl0_403,
inference(avatar_split_clause,[],[f10,f3437]) ).
fof(f10,axiom,
! [X1,X8,X7] :
( ~ c_in(X7,X8,tc_PropLog_Opl(X1))
| c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f3435,plain,
spl0_402,
inference(avatar_split_clause,[],[f9,f3433]) ).
fof(f3433,plain,
( spl0_402
<=> ! [X5,X3,X2,X6,X1] :
( X3 = X6
| c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Oop_A_N_62(X5,X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f9,axiom,
! [X2,X3,X1,X6,X5] :
( X3 = X6
| c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Oop_A_N_62(X5,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Oinject__2__iff1_1) ).
fof(f3431,plain,
spl0_401,
inference(avatar_split_clause,[],[f8,f3429]) ).
fof(f3429,plain,
( spl0_401
<=> ! [X5,X3,X6,X2,X1] :
( X2 = X5
| c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Oop_A_N_62(X5,X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f8,axiom,
! [X2,X3,X1,X6,X5] :
( X2 = X5
| c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Oop_A_N_62(X5,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Oinject__2__iff1_0) ).
fof(f3420,plain,
spl0_400,
inference(avatar_split_clause,[],[f185,f3418]) ).
fof(f3418,plain,
( spl0_400
<=> ! [X4,X12,X21,X1] :
( ~ c_in(X4,X21,X1)
| c_in(X4,c_insert(X12,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f185,axiom,
! [X21,X1,X4,X12] :
( ~ c_in(X4,X21,X1)
| c_in(X4,c_insert(X12,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3416,plain,
spl0_399,
inference(avatar_split_clause,[],[f178,f3414]) ).
fof(f3414,plain,
( spl0_399
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X19,X1)
| c_in(X40,c_union(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f178,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X19,X1)
| c_in(X40,c_union(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3412,plain,
spl0_398,
inference(avatar_split_clause,[],[f177,f3410]) ).
fof(f3410,plain,
( spl0_398
<=> ! [X40,X19,X21,X1] :
( ~ c_in(X40,X21,X1)
| c_in(X40,c_union(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f177,axiom,
! [X40,X21,X1,X19] :
( ~ c_in(X40,X21,X1)
| c_in(X40,c_union(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3408,plain,
spl0_397,
inference(avatar_split_clause,[],[f171,f3406]) ).
fof(f3406,plain,
( spl0_397
<=> ! [X40,X19,X21,X1] :
( c_in(X40,X19,X1)
| ~ c_in(X40,c_inter(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f171,axiom,
! [X40,X21,X1,X19] :
( c_in(X40,X19,X1)
| ~ c_in(X40,c_inter(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3404,plain,
( spl0_396
| ~ spl0_291
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f3374,f3318,f2898,f3402]) ).
fof(f3402,plain,
( spl0_396
<=> ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f3374,plain,
( ! [X0,X1] : ~ c_less(X0,X0,tc_set(X1))
| ~ spl0_291
| ~ spl0_384 ),
inference(resolution,[],[f3319,f2899]) ).
fof(f3400,plain,
spl0_395,
inference(avatar_split_clause,[],[f170,f3398]) ).
fof(f3398,plain,
( spl0_395
<=> ! [X40,X19,X21,X1] :
( c_in(X40,X21,X1)
| ~ c_in(X40,c_inter(X19,X21,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f170,axiom,
! [X40,X21,X1,X19] :
( c_in(X40,X21,X1)
| ~ c_in(X40,c_inter(X19,X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3396,plain,
spl0_394,
inference(avatar_split_clause,[],[f163,f3394]) ).
fof(f3394,plain,
( spl0_394
<=> ! [X1,X40,X19] :
( c_in(X40,X19,X1)
| c_in(X40,c_uminus(X19,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f163,axiom,
! [X40,X1,X19] :
( c_in(X40,X19,X1)
| c_in(X40,c_uminus(X19,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3392,plain,
spl0_393,
inference(avatar_split_clause,[],[f162,f3390]) ).
fof(f3390,plain,
( spl0_393
<=> ! [X1,X40,X19] :
( ~ c_in(X40,X19,X1)
| ~ c_in(X40,c_uminus(X19,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f162,axiom,
! [X40,X1,X19] :
( ~ c_in(X40,X19,X1)
| ~ c_in(X40,c_uminus(X19,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3388,plain,
spl0_392,
inference(avatar_split_clause,[],[f116,f3386]) ).
fof(f3386,plain,
( spl0_392
<=> ! [X18,X24] :
( ~ c_less(c_0,X24,tc_nat)
| c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f116,axiom,
! [X18,X24] :
( ~ c_less(c_0,X24,tc_nat)
| c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3384,plain,
spl0_391,
inference(avatar_split_clause,[],[f115,f3382]) ).
fof(f3382,plain,
( spl0_391
<=> ! [X18,X24] :
( ~ c_less(c_0,X18,tc_nat)
| c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f115,axiom,
! [X18,X24] :
( ~ c_less(c_0,X18,tc_nat)
| c_less(c_0,c_plus(X18,X24,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3380,plain,
spl0_390,
inference(avatar_split_clause,[],[f11,f3378]) ).
fof(f3378,plain,
( spl0_390
<=> ! [X9,X1,X10] :
( c_Datatype_Ooption_OSome(X9,X1) = X10
| ~ c_in(X9,c_Datatype_Oo2s(X10,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f11,axiom,
! [X10,X1,X9] :
( c_Datatype_Ooption_OSome(X9,X1) = X10
| ~ c_in(X9,c_Datatype_Oo2s(X10,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3372,plain,
( spl0_389
| ~ spl0_315
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f3347,f3274,f2996,f3370]) ).
fof(f3370,plain,
( spl0_389
<=> ! [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_389])]) ).
fof(f2996,plain,
( spl0_315
<=> ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3347,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_373 ),
inference(resolution,[],[f3275,f2997]) ).
fof(f2997,plain,
( ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f2996]) ).
fof(f3353,plain,
( spl0_388
| ~ spl0_306
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f3344,f3270,f2960,f3351]) ).
fof(f2960,plain,
( spl0_306
<=> ! [X18] :
( c_0 = X18
| ~ c_Divides_Oop_Advd(c_0,X18,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3270,plain,
( spl0_372
<=> ! [X25,X26] :
( ~ c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X25,c_uminus(X26,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f3344,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_306
| ~ spl0_372 ),
inference(resolution,[],[f3271,f2961]) ).
fof(f2961,plain,
( ! [X18] :
( ~ c_Divides_Oop_Advd(c_0,X18,tc_IntDef_Oint)
| c_0 = X18 )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f3271,plain,
( ! [X26,X25] :
( c_Divides_Oop_Advd(X25,c_uminus(X26,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f3270]) ).
fof(f3332,plain,
spl0_387,
inference(avatar_split_clause,[],[f1372,f3330]) ).
fof(f3330,plain,
( spl0_387
<=> ! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f1372,axiom,
! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f3328,plain,
spl0_386,
inference(avatar_split_clause,[],[f313,f3326]) ).
fof(f3326,plain,
( spl0_386
<=> ! [X4,X12,X1] :
( X4 = X12
| ~ c_in(X12,c_insert(X4,c_emptyset,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f313,axiom,
! [X1,X4,X12] :
( X4 = X12
| ~ c_in(X12,c_insert(X4,c_emptyset,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3324,plain,
spl0_385,
inference(avatar_split_clause,[],[f311,f3322]) ).
fof(f3322,plain,
( spl0_385
<=> ! [X21,X1,X19] :
( ~ c_less(X19,X21,tc_set(X1))
| c_lessequals(X19,X21,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f311,axiom,
! [X21,X1,X19] :
( ~ c_less(X19,X21,tc_set(X1))
| c_lessequals(X19,X21,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3320,plain,
spl0_384,
inference(avatar_split_clause,[],[f310,f3318]) ).
fof(f310,axiom,
! [X21,X1,X19] :
( ~ c_less(X19,X21,tc_set(X1))
| ~ c_lessequals(X21,X19,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3316,plain,
spl0_383,
inference(avatar_split_clause,[],[f136,f3314]) ).
fof(f136,axiom,
! [X1,X4] : c_in(c_Pair(X4,X4,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3312,plain,
spl0_382,
inference(avatar_split_clause,[],[f111,f3310]) ).
fof(f3310,plain,
( spl0_382
<=> ! [X18,X24] :
( ~ c_less(X18,X24,tc_nat)
| c_less(c_Suc(X18),c_Suc(X24),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f111,axiom,
! [X18,X24] :
( ~ c_less(X18,X24,tc_nat)
| c_less(c_Suc(X18),c_Suc(X24),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3308,plain,
spl0_381,
inference(avatar_split_clause,[],[f110,f3306]) ).
fof(f3306,plain,
( spl0_381
<=> ! [X18,X24] :
( c_less(X18,X24,tc_nat)
| ~ c_less(c_Suc(X18),c_Suc(X24),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f110,axiom,
! [X18,X24] :
( c_less(X18,X24,tc_nat)
| ~ c_less(c_Suc(X18),c_Suc(X24),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3304,plain,
spl0_380,
inference(avatar_split_clause,[],[f109,f3302]) ).
fof(f3302,plain,
( spl0_380
<=> ! [X18,X24] :
( ~ c_lessequals(X24,X18,tc_nat)
| c_lessequals(c_Suc(X24),c_Suc(X18),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f109,axiom,
! [X18,X24] :
( ~ c_lessequals(X24,X18,tc_nat)
| c_lessequals(c_Suc(X24),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3300,plain,
spl0_379,
inference(avatar_split_clause,[],[f108,f3298]) ).
fof(f3298,plain,
( spl0_379
<=> ! [X18,X24] :
( c_lessequals(X24,X18,tc_nat)
| ~ c_lessequals(c_Suc(X24),c_Suc(X18),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f108,axiom,
! [X18,X24] :
( c_lessequals(X24,X18,tc_nat)
| ~ c_lessequals(c_Suc(X24),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3296,plain,
spl0_378,
inference(avatar_split_clause,[],[f97,f3294]) ).
fof(f3294,plain,
( spl0_378
<=> ! [X27,X28,X1] :
( X27 = X28
| c_List_Orev(X27,X1) != c_List_Orev(X28,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f97,axiom,
! [X28,X1,X27] :
( X27 = X28
| c_List_Orev(X27,X1) != c_List_Orev(X28,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3292,plain,
spl0_377,
inference(avatar_split_clause,[],[f86,f3290]) ).
fof(f3290,plain,
( spl0_377
<=> ! [X27,X1] :
( c_List_Olist_ONil = X27
| c_less(c_0,c_Nat_Osize(X27,tc_List_Olist(X1)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f86,axiom,
! [X1,X27] :
( c_List_Olist_ONil = X27
| c_less(c_0,c_Nat_Osize(X27,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3288,plain,
spl0_376,
inference(avatar_split_clause,[],[f82,f3286]) ).
fof(f3286,plain,
( spl0_376
<=> ! [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_376])]) ).
fof(f82,axiom,
! [X31,X34,X32,X33] :
( X32 = X34
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3284,plain,
spl0_375,
inference(avatar_split_clause,[],[f81,f3282]) ).
fof(f3282,plain,
( spl0_375
<=> ! [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_375])]) ).
fof(f81,axiom,
! [X31,X34,X32,X33] :
( X31 = X33
| c_List_Ochar_OChar(X31,X32) != c_List_Ochar_OChar(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3280,plain,
spl0_374,
inference(avatar_split_clause,[],[f60,f3278]) ).
fof(f3278,plain,
( spl0_374
<=> ! [X25,X26] :
( ~ c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X25,tc_IntDef_Oint),X26,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f60,axiom,
! [X26,X25] :
( ~ c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X25,tc_IntDef_Oint),X26,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3276,plain,
spl0_373,
inference(avatar_split_clause,[],[f59,f3274]) ).
fof(f59,axiom,
! [X26,X25] :
( c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X25,tc_IntDef_Oint),X26,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3272,plain,
spl0_372,
inference(avatar_split_clause,[],[f56,f3270]) ).
fof(f56,axiom,
! [X26,X25] :
( ~ c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X25,c_uminus(X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3268,plain,
spl0_371,
inference(avatar_split_clause,[],[f55,f3266]) ).
fof(f3266,plain,
( spl0_371
<=> ! [X25,X26] :
( c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X25,c_uminus(X26,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f55,axiom,
! [X26,X25] :
( c_Divides_Oop_Advd(X25,X26,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X25,c_uminus(X26,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3264,plain,
spl0_370,
inference(avatar_split_clause,[],[f32,f3262]) ).
fof(f3262,plain,
( spl0_370
<=> ! [X15,X11,X14,X13,X1] : c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_ONumb(X15,X1,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f32,axiom,
! [X11,X1,X14,X15,X13] : c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_ONumb(X15,X1,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f3260,plain,
spl0_369,
inference(avatar_split_clause,[],[f25,f3258]) ).
fof(f3258,plain,
( spl0_369
<=> ! [X4,X11,X14,X13,X1] : c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OLeaf(X4,X1,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f25,axiom,
! [X11,X1,X14,X4,X13] : c_Datatype__Universe_OScons(X13,X14,X1,X11) != c_Datatype__Universe_OLeaf(X4,X1,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f3256,plain,
spl0_368,
inference(avatar_split_clause,[],[f19,f3254]) ).
fof(f3254,plain,
( spl0_368
<=> ! [X4,X11,X13,X14,X1] : c_Datatype__Universe_OAtom(X4,X1,X11) != c_Datatype__Universe_OScons(X13,X14,X1,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f19,axiom,
! [X11,X1,X14,X4,X13] : c_Datatype__Universe_OAtom(X4,X1,X11) != c_Datatype__Universe_OScons(X13,X14,X1,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3252,plain,
spl0_367,
inference(avatar_split_clause,[],[f17,f3250]) ).
fof(f3250,plain,
( spl0_367
<=> ! [X4,X0,X1] :
( X0 = X4
| c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( X0 = X4
| c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3248,plain,
spl0_366,
inference(avatar_split_clause,[],[f14,f3246]) ).
fof(f3246,plain,
( spl0_366
<=> ! [X9,X1] :
( c_Datatype_Ooption_ONone = X9
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X9,X1),X1) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f14,axiom,
! [X1,X9] :
( c_Datatype_Ooption_ONone = X9
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X9,X1),X1) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3244,plain,
spl0_365,
inference(avatar_split_clause,[],[f13,f3242]) ).
fof(f3242,plain,
( spl0_365
<=> ! [X9,X1] :
( c_Datatype_Ooption_ONone = X9
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X9,X1),X1) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f13,axiom,
! [X1,X9] :
( c_Datatype_Ooption_ONone = X9
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X9,X1),X1) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3240,plain,
spl0_364,
inference(avatar_split_clause,[],[f7,f3238]) ).
fof(f3238,plain,
( spl0_364
<=> ! [X4,X0,X1] :
( X0 = X4
| c_PropLog_Opl_Ovar(X0,X1) != c_PropLog_Opl_Ovar(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f7,axiom,
! [X0,X1,X4] :
( X0 = X4
| c_PropLog_Opl_Ovar(X0,X1) != c_PropLog_Opl_Ovar(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Oinject__1__iff1_0) ).
fof(f3217,plain,
spl0_363,
inference(avatar_split_clause,[],[f271,f3215]) ).
fof(f3215,plain,
( spl0_363
<=> ! [X20,X1] :
( ~ c_Wellfounded__Recursion_Owf(X20,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X20,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f271,axiom,
! [X1,X20] :
( ~ c_Wellfounded__Recursion_Owf(X20,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X20,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3213,plain,
spl0_362,
inference(avatar_split_clause,[],[f270,f3211]) ).
fof(f3211,plain,
( spl0_362
<=> ! [X20,X1] :
( ~ c_Wellfounded__Recursion_Owf(X20,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X20,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f270,axiom,
! [X1,X20] :
( ~ c_Wellfounded__Recursion_Owf(X20,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X20,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3209,plain,
spl0_361,
inference(avatar_split_clause,[],[f246,f3207]) ).
fof(f3207,plain,
( spl0_361
<=> ! [X18,X24] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X24)),tc_IntDef_Oint),c_IntDef_Oint(X18),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f246,axiom,
! [X18,X24] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X24)),tc_IntDef_Oint),c_IntDef_Oint(X18),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3205,plain,
spl0_360,
inference(avatar_split_clause,[],[f243,f3203]) ).
fof(f3203,plain,
( spl0_360
<=> ! [X18,X24] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),X24,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f243,axiom,
! [X18,X24] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),X24,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3201,plain,
spl0_359,
inference(avatar_split_clause,[],[f242,f3199]) ).
fof(f3199,plain,
( spl0_359
<=> ! [X18,X24] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),X18,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f242,axiom,
! [X18,X24] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X18,X24,tc_nat,tc_nat)),X18,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3197,plain,
spl0_358,
inference(avatar_split_clause,[],[f200,f3195]) ).
fof(f3195,plain,
( spl0_358
<=> ! [X20,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X20,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X20,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f200,axiom,
! [X1,X20] :
( ~ c_Wellfounded__Recursion_Oacyclic(X20,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X20,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3193,plain,
spl0_357,
inference(avatar_split_clause,[],[f199,f3191]) ).
fof(f3191,plain,
( spl0_357
<=> ! [X20,X1] :
( c_Wellfounded__Recursion_Oacyclic(X20,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X20,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f199,axiom,
! [X1,X20] :
( c_Wellfounded__Recursion_Oacyclic(X20,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X20,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3189,plain,
spl0_356,
inference(avatar_split_clause,[],[f198,f3187]) ).
fof(f3187,plain,
( spl0_356
<=> ! [X11,X12,X1,X4] : c_Sum__Type_OInl(X4,X1,X11) != c_Sum__Type_OInr(X12,X11,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f198,axiom,
! [X11,X1,X4,X12] : c_Sum__Type_OInl(X4,X1,X11) != c_Sum__Type_OInr(X12,X11,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
fof(f3185,plain,
spl0_355,
inference(avatar_split_clause,[],[f181,f3183]) ).
fof(f3183,plain,
( spl0_355
<=> ! [X21,X1,X19] :
( c_emptyset = X21
| c_emptyset != c_union(X19,X21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f181,axiom,
! [X21,X1,X19] :
( c_emptyset = X21
| c_emptyset != c_union(X19,X21,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3179,plain,
spl0_354,
inference(avatar_split_clause,[],[f180,f3177]) ).
fof(f3177,plain,
( spl0_354
<=> ! [X21,X1,X19] :
( c_emptyset = X19
| c_emptyset != c_union(X19,X21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f180,axiom,
! [X21,X1,X19] :
( c_emptyset = X19
| c_emptyset != c_union(X19,X21,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3175,plain,
spl0_353,
inference(avatar_split_clause,[],[f118,f3173]) ).
fof(f3173,plain,
( spl0_353
<=> ! [X18,X24] :
( c_0 = X24
| c_0 != c_plus(X18,X24,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f118,axiom,
! [X18,X24] :
( c_0 = X24
| c_0 != c_plus(X18,X24,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3171,plain,
spl0_352,
inference(avatar_split_clause,[],[f117,f3169]) ).
fof(f3169,plain,
( spl0_352
<=> ! [X18,X24] :
( c_0 = X18
| c_0 != c_plus(X18,X24,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f117,axiom,
! [X18,X24] :
( c_0 = X18
| c_0 != c_plus(X18,X24,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3167,plain,
spl0_351,
inference(avatar_split_clause,[],[f101,f3165]) ).
fof(f3165,plain,
( spl0_351
<=> ! [X27,X28,X1] :
( c_List_Olist_ONil = X28
| c_append(X27,X28,X1) != X27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f101,axiom,
! [X28,X1,X27] :
( c_List_Olist_ONil = X28
| c_append(X27,X28,X1) != X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3163,plain,
spl0_350,
inference(avatar_split_clause,[],[f99,f3161]) ).
fof(f3161,plain,
( spl0_350
<=> ! [X27,X28,X1] :
( c_List_Olist_ONil = X27
| c_append(X27,X28,X1) != X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f99,axiom,
! [X28,X1,X27] :
( c_List_Olist_ONil = X27
| c_append(X27,X28,X1) != X28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3159,plain,
spl0_349,
inference(avatar_split_clause,[],[f83,f3157]) ).
fof(f3157,plain,
( spl0_349
<=> ! [X27,X1] :
( c_List_Olist_ONil = X27
| c_0 != c_Nat_Osize(X27,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f83,axiom,
! [X1,X27] :
( c_List_Olist_ONil = X27
| c_0 != c_Nat_Osize(X27,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3155,plain,
spl0_348,
inference(avatar_split_clause,[],[f63,f3153]) ).
fof(f3153,plain,
( spl0_348
<=> ! [X27,X28,X1] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X27,X28,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f63,axiom,
! [X28,X1,X27] :
( c_List_Olist_ONil = X28
| c_List_Olist_ONil != c_append(X27,X28,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_1) ).
fof(f3151,plain,
spl0_347,
inference(avatar_split_clause,[],[f62,f3149]) ).
fof(f3149,plain,
( spl0_347
<=> ! [X27,X1,X28] :
( c_List_Olist_ONil = X27
| c_List_Olist_ONil != c_append(X27,X28,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f62,axiom,
! [X28,X1,X27] :
( c_List_Olist_ONil = X27
| c_List_Olist_ONil != c_append(X27,X28,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f3147,plain,
spl0_346,
inference(avatar_split_clause,[],[f35,f3145]) ).
fof(f3145,plain,
( spl0_346
<=> ! [X20,X1,X19] :
( c_emptyset = X19
| c_emptyset != c_Equiv__Relations_Oquotient(X19,X20,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f35,axiom,
! [X1,X19,X20] :
( c_emptyset = X19
| c_emptyset != c_Equiv__Relations_Oquotient(X19,X20,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3143,plain,
spl0_345,
inference(avatar_split_clause,[],[f26,f3141]) ).
fof(f3141,plain,
( spl0_345
<=> ! [X4,X11,X1,X15] : c_Datatype__Universe_OLeaf(X4,X1,X11) != c_Datatype__Universe_ONumb(X15,X1,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f26,axiom,
! [X11,X1,X4,X15] : c_Datatype__Universe_OLeaf(X4,X1,X11) != c_Datatype__Universe_ONumb(X15,X1,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3137,plain,
spl0_344,
inference(avatar_split_clause,[],[f23,f3135]) ).
fof(f3135,plain,
( spl0_344
<=> ! [X13,X11,X1,X14] : c_Datatype__Universe_OIn0(X13,X1,X11) != c_Datatype__Universe_OIn1(X14,X1,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f23,axiom,
! [X11,X1,X14,X13] : c_Datatype__Universe_OIn0(X13,X1,X11) != c_Datatype__Universe_OIn1(X14,X1,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3133,plain,
( spl0_343
| ~ spl0_306
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f3033,f3000,f2960,f3131]) ).
fof(f3131,plain,
( spl0_343
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f3033,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_316 ),
inference(resolution,[],[f3001,f2961]) ).
fof(f3122,plain,
( spl0_342
| ~ spl0_306
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f3032,f2996,f2960,f3120]) ).
fof(f3120,plain,
( spl0_342
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f3032,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_306
| ~ spl0_315 ),
inference(resolution,[],[f2997,f2961]) ).
fof(f3118,plain,
spl0_341,
inference(avatar_split_clause,[],[f460,f3116]) ).
fof(f3116,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f460,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_sum(X57,X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3114,plain,
spl0_340,
inference(avatar_split_clause,[],[f454,f3112]) ).
fof(f3112,plain,
( spl0_340
<=> ! [X57,X56] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_prod(X57,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f454,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_prod(X57,X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3110,plain,
spl0_339,
inference(avatar_split_clause,[],[f404,f3108]) ).
fof(f3108,plain,
( spl0_339
<=> ! [X57,X56] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_fun(X57,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f404,axiom,
! [X56,X57] :
( ~ class_Finite__Set_Ofinite(X57)
| ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_fun(X57,X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3106,plain,
spl0_338,
inference(avatar_split_clause,[],[f302,f3104]) ).
fof(f3104,plain,
( spl0_338
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f302,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/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3102,plain,
spl0_337,
inference(avatar_split_clause,[],[f301,f3100]) ).
fof(f3100,plain,
( spl0_337
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f301,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3098,plain,
spl0_336,
inference(avatar_split_clause,[],[f300,f3096]) ).
fof(f3096,plain,
( spl0_336
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f300,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/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3094,plain,
spl0_335,
inference(avatar_split_clause,[],[f299,f3092]) ).
fof(f3092,plain,
( spl0_335
<=> ! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f299,axiom,
! [X48,X44] : c_in(c_SetInterval_OgreaterThanAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3090,plain,
spl0_334,
inference(avatar_split_clause,[],[f297,f3088]) ).
fof(f3088,plain,
( spl0_334
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f297,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/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3086,plain,
spl0_333,
inference(avatar_split_clause,[],[f296,f3084]) ).
fof(f3084,plain,
( spl0_333
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f296,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastLessThan(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3082,plain,
spl0_332,
inference(avatar_split_clause,[],[f295,f3080]) ).
fof(f3080,plain,
( spl0_332
<=> ! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f295,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/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3078,plain,
( spl0_331
| ~ spl0_305
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f3031,f2992,f2956,f3076]) ).
fof(f3076,plain,
( spl0_331
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f2956,plain,
( spl0_305
<=> ! [X18] :
( c_0 = X18
| ~ c_Divides_Oop_Advd(c_0,X18,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f2992,plain,
( spl0_314
<=> ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3031,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_305
| ~ spl0_314 ),
inference(resolution,[],[f2993,f2957]) ).
fof(f2957,plain,
( ! [X18] :
( ~ c_Divides_Oop_Advd(c_0,X18,tc_nat)
| c_0 = X18 )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f2993,plain,
( ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_nat),tc_nat)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f3074,plain,
spl0_330,
inference(avatar_split_clause,[],[f294,f3072]) ).
fof(f3072,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f294,axiom,
! [X48,X44] : c_in(c_SetInterval_OatLeastAtMost(X48,X44,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3070,plain,
spl0_329,
inference(avatar_split_clause,[],[f245,f3068]) ).
fof(f3068,plain,
( spl0_329
<=> ! [X18,X24] : c_lessequals(c_uminus(c_IntDef_Oint(X24),tc_IntDef_Oint),c_IntDef_Oint(X18),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f245,axiom,
! [X18,X24] : c_lessequals(c_uminus(c_IntDef_Oint(X24),tc_IntDef_Oint),c_IntDef_Oint(X18),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3066,plain,
spl0_328,
inference(avatar_split_clause,[],[f122,f3064]) ).
fof(f3064,plain,
( spl0_328
<=> ! [X24] :
( c_0 = X24
| ~ c_less(X24,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f122,axiom,
! [X24] :
( c_0 = X24
| ~ c_less(X24,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3062,plain,
spl0_327,
inference(avatar_split_clause,[],[f107,f3060]) ).
fof(f3060,plain,
( spl0_327
<=> ! [X18,X24] :
( X18 = X24
| c_Suc(X18) != c_Suc(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f107,axiom,
! [X18,X24] :
( X18 = X24
| c_Suc(X18) != c_Suc(X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3058,plain,
spl0_326,
inference(avatar_split_clause,[],[f105,f3056]) ).
fof(f3056,plain,
( spl0_326
<=> ! [X27,X1] :
( c_List_Olist_ONil = X27
| c_emptyset != c_List_Oset(X27,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f105,axiom,
! [X1,X27] :
( c_List_Olist_ONil = X27
| c_emptyset != c_List_Oset(X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty__iff1_0) ).
fof(f3054,plain,
spl0_325,
inference(avatar_split_clause,[],[f65,f3052]) ).
fof(f3052,plain,
( spl0_325
<=> ! [X27,X1] :
( c_List_Olist_ONil = X27
| c_List_Olist_ONil != c_List_Orev(X27,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f65,axiom,
! [X1,X27] :
( c_List_Olist_ONil = X27
| c_List_Olist_ONil != c_List_Orev(X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f3050,plain,
spl0_324,
inference(avatar_split_clause,[],[f54,f3048]) ).
fof(f3048,plain,
( spl0_324
<=> ! [X18,X24] :
( X18 = X24
| c_IntDef_Oint(X18) != c_IntDef_Oint(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f54,axiom,
! [X18,X24] :
( X18 = X24
| c_IntDef_Oint(X18) != c_IntDef_Oint(X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3046,plain,
spl0_323,
inference(avatar_split_clause,[],[f12,f3044]) ).
fof(f3044,plain,
( spl0_323
<=> ! [X9,X1] : c_in(X9,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X9,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f12,axiom,
! [X1,X9] : c_in(X9,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X9,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3042,plain,
spl0_322,
inference(avatar_split_clause,[],[f5,f3040]) ).
fof(f3040,plain,
( spl0_322
<=> ! [X2,X4,X1,X3] : c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Ovar(X4,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f5,axiom,
! [X2,X3,X1,X4] : c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) != c_PropLog_Opl_Ovar(X4,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Odistinct__5__iff1_0) ).
fof(f3038,plain,
( spl0_321
| ~ spl0_305
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3030,f2988,f2956,f3036]) ).
fof(f3036,plain,
( spl0_321
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f2988,plain,
( spl0_313
<=> ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3030,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_305
| ~ spl0_313 ),
inference(resolution,[],[f2989,f2957]) ).
fof(f2989,plain,
( ! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_nat),tc_nat)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f3018,plain,
spl0_320,
inference(avatar_split_clause,[],[f303,f3016]) ).
fof(f3016,plain,
( spl0_320
<=> ! [X15] : c_in(c_SetInterval_OlessThan(X15,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f303,axiom,
! [X15] : c_in(c_SetInterval_OlessThan(X15,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3014,plain,
spl0_319,
inference(avatar_split_clause,[],[f298,f3012]) ).
fof(f3012,plain,
( spl0_319
<=> ! [X15] : c_in(c_SetInterval_OatMost(X15,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f298,axiom,
! [X15] : c_in(c_SetInterval_OatMost(X15,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3010,plain,
spl0_318,
inference(avatar_split_clause,[],[f269,f3008]) ).
fof(f3008,plain,
( spl0_318
<=> ! [X1,X19] : c_in(c_List_Olist_ONil,c_List_Olists(X19,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f269,axiom,
! [X1,X19] : c_in(c_List_Olist_ONil,c_List_Olists(X19,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3006,plain,
spl0_317,
inference(avatar_split_clause,[],[f253,f3004]) ).
fof(f3004,plain,
( spl0_317
<=> ! [X27,X1] : c_in(c_List_Oset(X27,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f253,axiom,
! [X1,X27] : c_in(c_List_Oset(X27,X1),c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3002,plain,
spl0_316,
inference(avatar_split_clause,[],[f250,f3000]) ).
fof(f250,axiom,
! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f2998,plain,
spl0_315,
inference(avatar_split_clause,[],[f249,f2996]) ).
fof(f249,axiom,
! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f2994,plain,
spl0_314,
inference(avatar_split_clause,[],[f234,f2992]) ).
fof(f234,axiom,
! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X18,X15,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f2990,plain,
spl0_313,
inference(avatar_split_clause,[],[f233,f2988]) ).
fof(f233,axiom,
! [X18,X15] : c_Divides_Oop_Advd(X15,c_times(X15,X18,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f2986,plain,
spl0_312,
inference(avatar_split_clause,[],[f186,f2984]) ).
fof(f2984,plain,
( spl0_312
<=> ! [X9,X21,X1] : c_in(X9,c_insert(X9,X21,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f186,axiom,
! [X21,X1,X9] : c_in(X9,c_insert(X9,X21,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f2982,plain,
spl0_311,
inference(avatar_split_clause,[],[f129,f2980]) ).
fof(f2980,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(f129,axiom,
! [X38,X37] : ~ c_less(c_plus(X38,X37,tc_nat),X37,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f2978,plain,
spl0_310,
inference(avatar_split_clause,[],[f128,f2976]) ).
fof(f2976,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(f128,axiom,
! [X38,X37] : ~ c_less(c_plus(X37,X38,tc_nat),X37,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f2974,plain,
spl0_309,
inference(avatar_split_clause,[],[f126,f2972]) ).
fof(f2972,plain,
( spl0_309
<=> ! [X24] :
( c_0 = X24
| c_less(c_0,X24,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f126,axiom,
! [X24] :
( c_0 = X24
| c_less(c_0,X24,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f2970,plain,
spl0_308,
inference(avatar_split_clause,[],[f124,f2968]) ).
fof(f2968,plain,
( spl0_308
<=> ! [X24] :
( c_0 = X24
| ~ c_less(X24,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f124,axiom,
! [X24] :
( c_0 = X24
| ~ c_less(X24,c_1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f2966,plain,
spl0_307,
inference(avatar_split_clause,[],[f120,f2964]) ).
fof(f2964,plain,
( spl0_307
<=> ! [X37] :
( c_0 = X37
| ~ c_lessequals(X37,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f120,axiom,
! [X37] :
( c_0 = X37
| ~ c_lessequals(X37,c_0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f2962,plain,
spl0_306,
inference(avatar_split_clause,[],[f57,f2960]) ).
fof(f57,axiom,
! [X18] :
( c_0 = X18
| ~ c_Divides_Oop_Advd(c_0,X18,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f2958,plain,
spl0_305,
inference(avatar_split_clause,[],[f33,f2956]) ).
fof(f33,axiom,
! [X18] :
( c_0 = X18
| ~ c_Divides_Oop_Advd(c_0,X18,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f2954,plain,
~ spl0_304,
inference(avatar_split_clause,[],[f1374,f2951]) ).
fof(f1374,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2949,plain,
spl0_303,
inference(avatar_split_clause,[],[f276,f2947]) ).
fof(f2947,plain,
( spl0_303
<=> ! [X9,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X9,X9,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f276,axiom,
! [X1,X9] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X9,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2945,plain,
spl0_302,
inference(avatar_split_clause,[],[f182,f2943]) ).
fof(f2943,plain,
( spl0_302
<=> ! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f182,axiom,
! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f2941,plain,
spl0_301,
inference(avatar_split_clause,[],[f133,f2939]) ).
fof(f2939,plain,
( spl0_301
<=> ! [X9,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X9,X9,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f133,axiom,
! [X1,X9] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X9,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f2937,plain,
spl0_300,
inference(avatar_split_clause,[],[f119,f2934]) ).
fof(f2934,plain,
( spl0_300
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f119,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f2932,plain,
spl0_299,
inference(avatar_split_clause,[],[f90,f2930]) ).
fof(f2930,plain,
( spl0_299
<=> ! [X0,X1,X35] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X35,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f90,axiom,
! [X0,X1,X35] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X35,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f2928,plain,
spl0_298,
inference(avatar_split_clause,[],[f84,f2926]) ).
fof(f2926,plain,
( spl0_298
<=> ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f84,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2924,plain,
spl0_297,
inference(avatar_split_clause,[],[f80,f2922]) ).
fof(f2922,plain,
( spl0_297
<=> ! [X27,X1] : c_append(X27,c_List_Olist_ONil,X1) = X27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f80,axiom,
! [X1,X27] : c_append(X27,c_List_Olist_ONil,X1) = X27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f2920,plain,
spl0_296,
inference(avatar_split_clause,[],[f78,f2918]) ).
fof(f2918,plain,
( spl0_296
<=> ! [X28,X1] : c_append(c_List_Olist_ONil,X28,X1) = X28 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f78,axiom,
! [X28,X1] : c_append(c_List_Olist_ONil,X28,X1) = X28,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f2916,plain,
spl0_295,
inference(avatar_split_clause,[],[f38,f2914]) ).
fof(f2914,plain,
( spl0_295
<=> ! [X20,X1] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X20,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f38,axiom,
! [X1,X20] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X20,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f2912,plain,
spl0_294,
inference(avatar_split_clause,[],[f3,f2910]) ).
fof(f2910,plain,
( spl0_294
<=> ! [X2,X1,X3] : c_PropLog_Opl_Ofalse != c_PropLog_Opl_Oop_A_N_62(X2,X3,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3,axiom,
! [X2,X3,X1] : c_PropLog_Opl_Ofalse != c_PropLog_Opl_Oop_A_N_62(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Odistinct__3__iff1_0) ).
fof(f2908,plain,
spl0_293,
inference(avatar_split_clause,[],[f458,f2906]) ).
fof(f2906,plain,
( spl0_293
<=> ! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_set(X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f458,axiom,
! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_set(X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f2904,plain,
spl0_292,
inference(avatar_split_clause,[],[f336,f2902]) ).
fof(f2902,plain,
( spl0_292
<=> ! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f336,axiom,
! [X56] :
( ~ class_Finite__Set_Ofinite(X56)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f2900,plain,
spl0_291,
inference(avatar_split_clause,[],[f320,f2898]) ).
fof(f320,axiom,
! [X1,X19] : c_lessequals(X19,X19,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2896,plain,
spl0_290,
inference(avatar_split_clause,[],[f309,f2894]) ).
fof(f309,axiom,
! [X1,X19] : c_lessequals(c_emptyset,X19,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2892,plain,
spl0_289,
inference(avatar_split_clause,[],[f275,f2890]) ).
fof(f2890,plain,
( spl0_289
<=> ! [X24] : c_less(c_0,c_Suc(X24),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f275,axiom,
! [X24] : c_less(c_0,c_Suc(X24),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2888,plain,
spl0_288,
inference(avatar_split_clause,[],[f273,f2886]) ).
fof(f2886,plain,
( spl0_288
<=> ! [X24] : c_less(X24,c_Suc(X24),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f273,axiom,
! [X24] : c_less(X24,c_Suc(X24),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2884,plain,
spl0_287,
inference(avatar_split_clause,[],[f236,f2882]) ).
fof(f2882,plain,
( spl0_287
<=> ! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f236,axiom,
! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2880,plain,
spl0_286,
inference(avatar_split_clause,[],[f232,f2878]) ).
fof(f2878,plain,
( spl0_286
<=> ! [X15] : c_Divides_Oop_Advd(c_Suc(c_0),X15,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f232,axiom,
! [X15] : c_Divides_Oop_Advd(c_Suc(c_0),X15,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2876,plain,
spl0_285,
inference(avatar_split_clause,[],[f188,f2874]) ).
fof(f2874,plain,
( spl0_285
<=> ! [X1,X19] : ~ c_less(X19,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f188,axiom,
! [X1,X19] : ~ c_less(X19,c_emptyset,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2872,plain,
spl0_284,
inference(avatar_split_clause,[],[f104,f2870]) ).
fof(f2870,plain,
( spl0_284
<=> ! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f104,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff2_0) ).
fof(f2868,plain,
spl0_283,
inference(avatar_split_clause,[],[f66,f2866]) ).
fof(f2866,plain,
( spl0_283
<=> ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f66,axiom,
! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff2_0) ).
fof(f2864,plain,
~ spl0_282,
inference(avatar_split_clause,[],[f53,f2861]) ).
fof(f2861,plain,
( spl0_282
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f53,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f2859,plain,
spl0_281,
inference(avatar_split_clause,[],[f15,f2857]) ).
fof(f2857,plain,
( spl0_281
<=> ! [X0,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f15,axiom,
! [X0,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f2855,plain,
spl0_280,
inference(avatar_split_clause,[],[f1,f2853]) ).
fof(f2853,plain,
( spl0_280
<=> ! [X0,X1] : c_PropLog_Opl_Ofalse != c_PropLog_Opl_Ovar(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1,axiom,
! [X0,X1] : c_PropLog_Opl_Ofalse != c_PropLog_Opl_Ovar(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Opl_Odistinct__1__iff1_0) ).
fof(f2544,plain,
spl0_279,
inference(avatar_split_clause,[],[f1367,f2542]) ).
fof(f2542,plain,
( spl0_279
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1367,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2540,plain,
spl0_278,
inference(avatar_split_clause,[],[f1366,f2538]) ).
fof(f2538,plain,
( spl0_278
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1366,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2536,plain,
spl0_277,
inference(avatar_split_clause,[],[f1365,f2534]) ).
fof(f2534,plain,
( spl0_277
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1365,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2532,plain,
spl0_276,
inference(avatar_split_clause,[],[f1364,f2530]) ).
fof(f2530,plain,
( spl0_276
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1364,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2528,plain,
spl0_275,
inference(avatar_split_clause,[],[f1363,f2526]) ).
fof(f2526,plain,
( spl0_275
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1363,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2524,plain,
spl0_274,
inference(avatar_split_clause,[],[f1362,f2522]) ).
fof(f2522,plain,
( spl0_274
<=> ! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1362,axiom,
! [X58] :
( ~ class_Wellfounded__Recursion_Owellorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2520,plain,
spl0_273,
inference(avatar_split_clause,[],[f1275,f2518]) ).
fof(f2518,plain,
( spl0_273
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1275,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2516,plain,
spl0_272,
inference(avatar_split_clause,[],[f1267,f2514]) ).
fof(f2514,plain,
( spl0_272
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1267,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2512,plain,
spl0_271,
inference(avatar_split_clause,[],[f1266,f2510]) ).
fof(f2510,plain,
( spl0_271
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1266,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2508,plain,
spl0_270,
inference(avatar_split_clause,[],[f1256,f2506]) ).
fof(f2506,plain,
( spl0_270
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1256,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2504,plain,
spl0_269,
inference(avatar_split_clause,[],[f1255,f2502]) ).
fof(f2502,plain,
( spl0_269
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1255,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2500,plain,
spl0_268,
inference(avatar_split_clause,[],[f1254,f2498]) ).
fof(f2498,plain,
( spl0_268
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1254,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2496,plain,
spl0_267,
inference(avatar_split_clause,[],[f1252,f2494]) ).
fof(f2494,plain,
( spl0_267
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1252,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2492,plain,
spl0_266,
inference(avatar_split_clause,[],[f1251,f2490]) ).
fof(f2490,plain,
( spl0_266
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1251,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2488,plain,
spl0_265,
inference(avatar_split_clause,[],[f1250,f2486]) ).
fof(f2486,plain,
( spl0_265
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1250,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2484,plain,
spl0_264,
inference(avatar_split_clause,[],[f1249,f2482]) ).
fof(f2482,plain,
( spl0_264
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1249,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2480,plain,
spl0_263,
inference(avatar_split_clause,[],[f1248,f2478]) ).
fof(f2478,plain,
( spl0_263
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1248,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2476,plain,
spl0_262,
inference(avatar_split_clause,[],[f1232,f2474]) ).
fof(f2474,plain,
( spl0_262
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1232,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2472,plain,
spl0_261,
inference(avatar_split_clause,[],[f1231,f2470]) ).
fof(f2470,plain,
( spl0_261
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1231,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2468,plain,
spl0_260,
inference(avatar_split_clause,[],[f1230,f2466]) ).
fof(f2466,plain,
( spl0_260
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f1230,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2464,plain,
spl0_259,
inference(avatar_split_clause,[],[f1229,f2462]) ).
fof(f2462,plain,
( spl0_259
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1229,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2460,plain,
spl0_258,
inference(avatar_split_clause,[],[f1197,f2458]) ).
fof(f2458,plain,
( spl0_258
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f1197,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2456,plain,
spl0_257,
inference(avatar_split_clause,[],[f1188,f2454]) ).
fof(f2454,plain,
( spl0_257
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1188,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2452,plain,
spl0_256,
inference(avatar_split_clause,[],[f1187,f2450]) ).
fof(f2450,plain,
( spl0_256
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f1187,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2448,plain,
spl0_255,
inference(avatar_split_clause,[],[f1184,f2446]) ).
fof(f2446,plain,
( spl0_255
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f1184,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2444,plain,
spl0_254,
inference(avatar_split_clause,[],[f1174,f2442]) ).
fof(f2442,plain,
( spl0_254
<=> ! [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_254])]) ).
fof(f1174,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2440,plain,
spl0_253,
inference(avatar_split_clause,[],[f1173,f2438]) ).
fof(f2438,plain,
( spl0_253
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1173,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2436,plain,
spl0_252,
inference(avatar_split_clause,[],[f1170,f2434]) ).
fof(f2434,plain,
( spl0_252
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f1170,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2432,plain,
spl0_251,
inference(avatar_split_clause,[],[f1169,f2430]) ).
fof(f2430,plain,
( spl0_251
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1169,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2428,plain,
spl0_250,
inference(avatar_split_clause,[],[f1165,f2426]) ).
fof(f2426,plain,
( spl0_250
<=> ! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f1165,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2424,plain,
spl0_249,
inference(avatar_split_clause,[],[f1163,f2422]) ).
fof(f2422,plain,
( spl0_249
<=> ! [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_249])]) ).
fof(f1163,axiom,
! [X58] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2420,plain,
spl0_248,
inference(avatar_split_clause,[],[f1162,f2418]) ).
fof(f2418,plain,
( spl0_248
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1162,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2416,plain,
spl0_247,
inference(avatar_split_clause,[],[f1155,f2414]) ).
fof(f2414,plain,
( spl0_247
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f1155,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2412,plain,
spl0_246,
inference(avatar_split_clause,[],[f1154,f2410]) ).
fof(f2410,plain,
( spl0_246
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f1154,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2408,plain,
spl0_245,
inference(avatar_split_clause,[],[f1149,f2406]) ).
fof(f2406,plain,
( spl0_245
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f1149,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2404,plain,
spl0_244,
inference(avatar_split_clause,[],[f1148,f2402]) ).
fof(f2402,plain,
( spl0_244
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f1148,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2400,plain,
spl0_243,
inference(avatar_split_clause,[],[f1147,f2398]) ).
fof(f2398,plain,
( spl0_243
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f1147,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2396,plain,
spl0_242,
inference(avatar_split_clause,[],[f1146,f2394]) ).
fof(f2394,plain,
( spl0_242
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f1146,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2392,plain,
spl0_241,
inference(avatar_split_clause,[],[f1145,f2390]) ).
fof(f2390,plain,
( spl0_241
<=> ! [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_241])]) ).
fof(f1145,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2388,plain,
spl0_240,
inference(avatar_split_clause,[],[f1144,f2386]) ).
fof(f2386,plain,
( spl0_240
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f1144,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2384,plain,
spl0_239,
inference(avatar_split_clause,[],[f1143,f2382]) ).
fof(f2382,plain,
( spl0_239
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f1143,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2380,plain,
spl0_238,
inference(avatar_split_clause,[],[f1142,f2378]) ).
fof(f2378,plain,
( spl0_238
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1142,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2376,plain,
spl0_237,
inference(avatar_split_clause,[],[f1141,f2374]) ).
fof(f2374,plain,
( spl0_237
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1141,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2372,plain,
spl0_236,
inference(avatar_split_clause,[],[f1132,f2370]) ).
fof(f2370,plain,
( spl0_236
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1132,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2368,plain,
spl0_235,
inference(avatar_split_clause,[],[f1131,f2366]) ).
fof(f2366,plain,
( spl0_235
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1131,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2364,plain,
spl0_234,
inference(avatar_split_clause,[],[f1130,f2362]) ).
fof(f2362,plain,
( spl0_234
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f1130,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2360,plain,
spl0_233,
inference(avatar_split_clause,[],[f1129,f2358]) ).
fof(f2358,plain,
( spl0_233
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f1129,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2356,plain,
spl0_232,
inference(avatar_split_clause,[],[f1128,f2354]) ).
fof(f2354,plain,
( spl0_232
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1128,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2352,plain,
spl0_231,
inference(avatar_split_clause,[],[f1127,f2350]) ).
fof(f2350,plain,
( spl0_231
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f1127,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2348,plain,
spl0_230,
inference(avatar_split_clause,[],[f1126,f2346]) ).
fof(f2346,plain,
( spl0_230
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1126,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2344,plain,
spl0_229,
inference(avatar_split_clause,[],[f1125,f2342]) ).
fof(f2342,plain,
( spl0_229
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1125,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2340,plain,
spl0_228,
inference(avatar_split_clause,[],[f1124,f2338]) ).
fof(f2338,plain,
( spl0_228
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1124,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2336,plain,
spl0_227,
inference(avatar_split_clause,[],[f1123,f2334]) ).
fof(f2334,plain,
( spl0_227
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1123,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2332,plain,
spl0_226,
inference(avatar_split_clause,[],[f1121,f2330]) ).
fof(f2330,plain,
( spl0_226
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f1121,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2328,plain,
spl0_225,
inference(avatar_split_clause,[],[f1120,f2326]) ).
fof(f2326,plain,
( spl0_225
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1120,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2324,plain,
spl0_224,
inference(avatar_split_clause,[],[f1119,f2322]) ).
fof(f2322,plain,
( spl0_224
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f1119,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2320,plain,
spl0_223,
inference(avatar_split_clause,[],[f1118,f2318]) ).
fof(f2318,plain,
( spl0_223
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1118,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2316,plain,
spl0_222,
inference(avatar_split_clause,[],[f1117,f2314]) ).
fof(f2314,plain,
( spl0_222
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1117,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2312,plain,
spl0_221,
inference(avatar_split_clause,[],[f1116,f2310]) ).
fof(f2310,plain,
( spl0_221
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1116,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__semidom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2308,plain,
spl0_220,
inference(avatar_split_clause,[],[f1091,f2306]) ).
fof(f2306,plain,
( spl0_220
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1091,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2304,plain,
spl0_219,
inference(avatar_split_clause,[],[f1090,f2302]) ).
fof(f2302,plain,
( spl0_219
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1090,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2300,plain,
spl0_218,
inference(avatar_split_clause,[],[f1089,f2298]) ).
fof(f2298,plain,
( spl0_218
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1089,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2296,plain,
spl0_217,
inference(avatar_split_clause,[],[f1088,f2294]) ).
fof(f2294,plain,
( spl0_217
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1088,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2292,plain,
spl0_216,
inference(avatar_split_clause,[],[f1087,f2290]) ).
fof(f2290,plain,
( spl0_216
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Olordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1087,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Olordered__ring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2288,plain,
spl0_215,
inference(avatar_split_clause,[],[f1086,f2286]) ).
fof(f2286,plain,
( spl0_215
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1086,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2284,plain,
spl0_214,
inference(avatar_split_clause,[],[f1084,f2282]) ).
fof(f2282,plain,
( spl0_214
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1084,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2280,plain,
spl0_213,
inference(avatar_split_clause,[],[f1083,f2278]) ).
fof(f2278,plain,
( spl0_213
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1083,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2276,plain,
spl0_212,
inference(avatar_split_clause,[],[f1082,f2274]) ).
fof(f2274,plain,
( spl0_212
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f1082,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2272,plain,
spl0_211,
inference(avatar_split_clause,[],[f1081,f2270]) ).
fof(f2270,plain,
( spl0_211
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1081,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2268,plain,
spl0_210,
inference(avatar_split_clause,[],[f1080,f2266]) ).
fof(f2266,plain,
( spl0_210
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1080,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2264,plain,
spl0_209,
inference(avatar_split_clause,[],[f1079,f2262]) ).
fof(f2262,plain,
( spl0_209
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1079,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2260,plain,
spl0_208,
inference(avatar_split_clause,[],[f1078,f2258]) ).
fof(f2258,plain,
( spl0_208
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f1078,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2256,plain,
spl0_207,
inference(avatar_split_clause,[],[f1077,f2254]) ).
fof(f2254,plain,
( spl0_207
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1077,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2252,plain,
spl0_206,
inference(avatar_split_clause,[],[f1076,f2250]) ).
fof(f2250,plain,
( spl0_206
<=> ! [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_206])]) ).
fof(f1076,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2248,plain,
spl0_205,
inference(avatar_split_clause,[],[f1075,f2246]) ).
fof(f2246,plain,
( spl0_205
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1075,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2244,plain,
spl0_204,
inference(avatar_split_clause,[],[f1073,f2242]) ).
fof(f2242,plain,
( spl0_204
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1073,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2240,plain,
spl0_203,
inference(avatar_split_clause,[],[f1072,f2238]) ).
fof(f2238,plain,
( spl0_203
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1072,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2236,plain,
spl0_202,
inference(avatar_split_clause,[],[f1071,f2234]) ).
fof(f2234,plain,
( spl0_202
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1071,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2232,plain,
spl0_201,
inference(avatar_split_clause,[],[f1070,f2230]) ).
fof(f2230,plain,
( spl0_201
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f1070,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2228,plain,
spl0_200,
inference(avatar_split_clause,[],[f1069,f2226]) ).
fof(f2226,plain,
( spl0_200
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1069,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2224,plain,
spl0_199,
inference(avatar_split_clause,[],[f1055,f2222]) ).
fof(f2222,plain,
( spl0_199
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semidom(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1055,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semidom(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2220,plain,
spl0_198,
inference(avatar_split_clause,[],[f1054,f2218]) ).
fof(f2218,plain,
( spl0_198
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f1054,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2216,plain,
spl0_197,
inference(avatar_split_clause,[],[f1053,f2214]) ).
fof(f2214,plain,
( spl0_197
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f1053,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2212,plain,
spl0_196,
inference(avatar_split_clause,[],[f1052,f2210]) ).
fof(f2210,plain,
( spl0_196
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1052,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2208,plain,
spl0_195,
inference(avatar_split_clause,[],[f1051,f2206]) ).
fof(f2206,plain,
( spl0_195
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1051,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2204,plain,
spl0_194,
inference(avatar_split_clause,[],[f1050,f2202]) ).
fof(f2202,plain,
( spl0_194
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1050,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2200,plain,
spl0_193,
inference(avatar_split_clause,[],[f1048,f2198]) ).
fof(f2198,plain,
( spl0_193
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1048,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2196,plain,
spl0_192,
inference(avatar_split_clause,[],[f1047,f2194]) ).
fof(f2194,plain,
( spl0_192
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Olordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1047,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Olordered__ring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2192,plain,
spl0_191,
inference(avatar_split_clause,[],[f1046,f2190]) ).
fof(f2190,plain,
( spl0_191
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__ring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1046,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__ring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2188,plain,
spl0_190,
inference(avatar_split_clause,[],[f1045,f2186]) ).
fof(f2186,plain,
( spl0_190
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1045,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oaxclass__abs__if(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2184,plain,
spl0_189,
inference(avatar_split_clause,[],[f1044,f2182]) ).
fof(f2182,plain,
( spl0_189
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1044,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2180,plain,
spl0_188,
inference(avatar_split_clause,[],[f1043,f2178]) ).
fof(f2178,plain,
( spl0_188
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1043,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2176,plain,
spl0_187,
inference(avatar_split_clause,[],[f1042,f2174]) ).
fof(f2174,plain,
( spl0_187
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1042,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2172,plain,
spl0_186,
inference(avatar_split_clause,[],[f1041,f2170]) ).
fof(f2170,plain,
( spl0_186
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1041,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2168,plain,
spl0_185,
inference(avatar_split_clause,[],[f1040,f2166]) ).
fof(f2166,plain,
( spl0_185
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1040,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2164,plain,
spl0_184,
inference(avatar_split_clause,[],[f1039,f2162]) ).
fof(f2162,plain,
( spl0_184
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1039,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2160,plain,
spl0_183,
inference(avatar_split_clause,[],[f1037,f2158]) ).
fof(f2158,plain,
( spl0_183
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1037,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2156,plain,
spl0_182,
inference(avatar_split_clause,[],[f1036,f2154]) ).
fof(f2154,plain,
( spl0_182
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1036,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2152,plain,
spl0_181,
inference(avatar_split_clause,[],[f1035,f2150]) ).
fof(f2150,plain,
( spl0_181
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1035,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2148,plain,
spl0_180,
inference(avatar_split_clause,[],[f1034,f2146]) ).
fof(f2146,plain,
( spl0_180
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1034,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2144,plain,
spl0_179,
inference(avatar_split_clause,[],[f1033,f2142]) ).
fof(f2142,plain,
( spl0_179
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1033,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2140,plain,
spl0_178,
inference(avatar_split_clause,[],[f1032,f2138]) ).
fof(f2138,plain,
( spl0_178
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1032,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2136,plain,
spl0_177,
inference(avatar_split_clause,[],[f1031,f2134]) ).
fof(f2134,plain,
( spl0_177
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1031,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2132,plain,
spl0_176,
inference(avatar_split_clause,[],[f1030,f2130]) ).
fof(f2130,plain,
( spl0_176
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1030,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2128,plain,
spl0_175,
inference(avatar_split_clause,[],[f1029,f2126]) ).
fof(f2126,plain,
( spl0_175
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1029,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2124,plain,
spl0_174,
inference(avatar_split_clause,[],[f1028,f2122]) ).
fof(f2122,plain,
( spl0_174
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1028,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__idom(X58)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2120,plain,
spl0_173,
inference(avatar_split_clause,[],[f935,f2118]) ).
fof(f2118,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f935,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2116,plain,
spl0_172,
inference(avatar_split_clause,[],[f934,f2114]) ).
fof(f2114,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f934,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2112,plain,
spl0_171,
inference(avatar_split_clause,[],[f933,f2110]) ).
fof(f2110,plain,
( spl0_171
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f933,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2108,plain,
spl0_170,
inference(avatar_split_clause,[],[f931,f2106]) ).
fof(f2106,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f931,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2104,plain,
spl0_169,
inference(avatar_split_clause,[],[f930,f2102]) ).
fof(f2102,plain,
( spl0_169
<=> ! [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_169])]) ).
fof(f930,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Ring__and__Field_Oordered__semiring__strict(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2100,plain,
spl0_168,
inference(avatar_split_clause,[],[f927,f2098]) ).
fof(f2098,plain,
( spl0_168
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f927,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2096,plain,
spl0_167,
inference(avatar_split_clause,[],[f926,f2094]) ).
fof(f2094,plain,
( spl0_167
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f926,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2092,plain,
spl0_166,
inference(avatar_split_clause,[],[f924,f2090]) ).
fof(f2090,plain,
( spl0_166
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f924,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2088,plain,
spl0_165,
inference(avatar_split_clause,[],[f923,f2086]) ).
fof(f2086,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f923,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2084,plain,
spl0_164,
inference(avatar_split_clause,[],[f922,f2082]) ).
fof(f2082,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f922,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2080,plain,
spl0_163,
inference(avatar_split_clause,[],[f921,f2078]) ).
fof(f2078,plain,
( spl0_163
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f921,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2076,plain,
spl0_162,
inference(avatar_split_clause,[],[f920,f2074]) ).
fof(f2074,plain,
( spl0_162
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f920,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2072,plain,
spl0_161,
inference(avatar_split_clause,[],[f919,f2070]) ).
fof(f2070,plain,
( spl0_161
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f919,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2068,plain,
spl0_160,
inference(avatar_split_clause,[],[f918,f2066]) ).
fof(f2066,plain,
( spl0_160
<=> ! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f918,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2064,plain,
spl0_159,
inference(avatar_split_clause,[],[f917,f2062]) ).
fof(f2062,plain,
( spl0_159
<=> ! [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_159])]) ).
fof(f917,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X58)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2060,plain,
spl0_158,
inference(avatar_split_clause,[],[f912,f2058]) ).
fof(f2058,plain,
( spl0_158
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f912,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2056,plain,
spl0_157,
inference(avatar_split_clause,[],[f911,f2054]) ).
fof(f2054,plain,
( spl0_157
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f911,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2052,plain,
spl0_156,
inference(avatar_split_clause,[],[f910,f2050]) ).
fof(f2050,plain,
( spl0_156
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f910,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__cancel__semiring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2048,plain,
spl0_155,
inference(avatar_split_clause,[],[f909,f2046]) ).
fof(f2046,plain,
( spl0_155
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f909,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2044,plain,
spl0_154,
inference(avatar_split_clause,[],[f908,f2042]) ).
fof(f2042,plain,
( spl0_154
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f908,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2040,plain,
spl0_153,
inference(avatar_split_clause,[],[f906,f2038]) ).
fof(f2038,plain,
( spl0_153
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f906,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__join(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2036,plain,
spl0_152,
inference(avatar_split_clause,[],[f904,f2034]) ).
fof(f2034,plain,
( spl0_152
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f904,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__meet(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2032,plain,
spl0_151,
inference(avatar_split_clause,[],[f903,f2030]) ).
fof(f2030,plain,
( spl0_151
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f903,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2028,plain,
spl0_150,
inference(avatar_split_clause,[],[f902,f2026]) ).
fof(f2026,plain,
( spl0_150
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f902,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2024,plain,
spl0_149,
inference(avatar_split_clause,[],[f901,f2022]) ).
fof(f2022,plain,
( spl0_149
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f901,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2020,plain,
spl0_148,
inference(avatar_split_clause,[],[f900,f2018]) ).
fof(f2018,plain,
( spl0_148
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f900,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2016,plain,
spl0_147,
inference(avatar_split_clause,[],[f899,f2014]) ).
fof(f2014,plain,
( spl0_147
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f899,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Olordered__ab__group__abs(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2012,plain,
spl0_146,
inference(avatar_split_clause,[],[f894,f2010]) ).
fof(f2010,plain,
( spl0_146
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f894,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2008,plain,
spl0_145,
inference(avatar_split_clause,[],[f885,f2006]) ).
fof(f2006,plain,
( spl0_145
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f885,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2004,plain,
spl0_144,
inference(avatar_split_clause,[],[f884,f2002]) ).
fof(f2002,plain,
( spl0_144
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f884,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2000,plain,
spl0_143,
inference(avatar_split_clause,[],[f882,f1998]) ).
fof(f1998,plain,
( spl0_143
<=> ! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__ring(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f882,axiom,
! [X58] :
( ~ class_Ring__and__Field_Olordered__ring(X58)
| class_Ring__and__Field_Opordered__ring(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f1996,plain,
spl0_142,
inference(avatar_split_clause,[],[f691,f1994]) ).
fof(f1994,plain,
( spl0_142
<=> ! [X58] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f691,axiom,
! [X58] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f1992,plain,
spl0_141,
inference(avatar_split_clause,[],[f662,f1990]) ).
fof(f1990,plain,
( spl0_141
<=> ! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f662,axiom,
! [X58] :
( ~ class_Orderings_Oorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f1988,plain,
spl0_140,
inference(avatar_split_clause,[],[f661,f1986]) ).
fof(f1986,plain,
( spl0_140
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f661,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f1984,plain,
spl0_139,
inference(avatar_split_clause,[],[f660,f1982]) ).
fof(f1982,plain,
( spl0_139
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f660,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f1980,plain,
spl0_138,
inference(avatar_split_clause,[],[f659,f1978]) ).
fof(f1978,plain,
( spl0_138
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f659,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f1976,plain,
spl0_137,
inference(avatar_split_clause,[],[f658,f1974]) ).
fof(f1974,plain,
( spl0_137
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f658,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f1972,plain,
spl0_136,
inference(avatar_split_clause,[],[f657,f1970]) ).
fof(f1970,plain,
( spl0_136
<=> ! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f657,axiom,
! [X58] :
( ~ class_Orderings_Olinorder(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f1968,plain,
spl0_135,
inference(avatar_split_clause,[],[f649,f1966]) ).
fof(f1966,plain,
( spl0_135
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f649,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f1964,plain,
spl0_134,
inference(avatar_split_clause,[],[f648,f1962]) ).
fof(f1962,plain,
( spl0_134
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f648,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f1960,plain,
spl0_133,
inference(avatar_split_clause,[],[f647,f1958]) ).
fof(f1958,plain,
( spl0_133
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f647,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f1956,plain,
spl0_132,
inference(avatar_split_clause,[],[f641,f1954]) ).
fof(f1954,plain,
( spl0_132
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f641,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f1952,plain,
spl0_131,
inference(avatar_split_clause,[],[f640,f1950]) ).
fof(f1950,plain,
( spl0_131
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f640,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f1948,plain,
spl0_130,
inference(avatar_split_clause,[],[f639,f1946]) ).
fof(f1946,plain,
( spl0_130
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f639,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f1944,plain,
spl0_129,
inference(avatar_split_clause,[],[f638,f1942]) ).
fof(f1942,plain,
( spl0_129
<=> ! [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_129])]) ).
fof(f638,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f1940,plain,
spl0_128,
inference(avatar_split_clause,[],[f634,f1938]) ).
fof(f1938,plain,
( spl0_128
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f634,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f1936,plain,
spl0_127,
inference(avatar_split_clause,[],[f633,f1934]) ).
fof(f1934,plain,
( spl0_127
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f633,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f1932,plain,
spl0_126,
inference(avatar_split_clause,[],[f632,f1930]) ).
fof(f1930,plain,
( spl0_126
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f632,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f1928,plain,
spl0_125,
inference(avatar_split_clause,[],[f624,f1926]) ).
fof(f1926,plain,
( spl0_125
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f624,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f1924,plain,
spl0_124,
inference(avatar_split_clause,[],[f623,f1922]) ).
fof(f1922,plain,
( spl0_124
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f623,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f1920,plain,
spl0_123,
inference(avatar_split_clause,[],[f622,f1918]) ).
fof(f1918,plain,
( spl0_123
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f622,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f1916,plain,
spl0_122,
inference(avatar_split_clause,[],[f621,f1914]) ).
fof(f1914,plain,
( spl0_122
<=> ! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f621,axiom,
! [X58] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f1912,plain,
spl0_121,
inference(avatar_split_clause,[],[f618,f1910]) ).
fof(f1910,plain,
( spl0_121
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Olinorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f618,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Olinorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f1908,plain,
spl0_120,
inference(avatar_split_clause,[],[f612,f1906]) ).
fof(f1906,plain,
( spl0_120
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f612,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f1904,plain,
spl0_119,
inference(avatar_split_clause,[],[f611,f1902]) ).
fof(f1902,plain,
( spl0_119
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f611,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f1900,plain,
spl0_118,
inference(avatar_split_clause,[],[f610,f1898]) ).
fof(f1898,plain,
( spl0_118
<=> ! [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_118])]) ).
fof(f610,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f1896,plain,
spl0_117,
inference(avatar_split_clause,[],[f609,f1894]) ).
fof(f1894,plain,
( spl0_117
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f609,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f1892,plain,
spl0_116,
inference(avatar_split_clause,[],[f608,f1890]) ).
fof(f1890,plain,
( spl0_116
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f608,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f1888,plain,
spl0_115,
inference(avatar_split_clause,[],[f607,f1886]) ).
fof(f1886,plain,
( spl0_115
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f607,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f1884,plain,
spl0_114,
inference(avatar_split_clause,[],[f606,f1882]) ).
fof(f1882,plain,
( spl0_114
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f606,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f1880,plain,
spl0_113,
inference(avatar_split_clause,[],[f605,f1878]) ).
fof(f1878,plain,
( spl0_113
<=> ! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f605,axiom,
! [X58] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f1876,plain,
spl0_112,
inference(avatar_split_clause,[],[f601,f1874]) ).
fof(f1874,plain,
( spl0_112
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f601,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1872,plain,
spl0_111,
inference(avatar_split_clause,[],[f600,f1870]) ).
fof(f1870,plain,
( spl0_111
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f600,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1868,plain,
spl0_110,
inference(avatar_split_clause,[],[f599,f1866]) ).
fof(f1866,plain,
( spl0_110
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f599,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1864,plain,
spl0_109,
inference(avatar_split_clause,[],[f598,f1862]) ).
fof(f1862,plain,
( spl0_109
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f598,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1860,plain,
spl0_108,
inference(avatar_split_clause,[],[f597,f1858]) ).
fof(f1858,plain,
( spl0_108
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f597,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1856,plain,
spl0_107,
inference(avatar_split_clause,[],[f593,f1854]) ).
fof(f1854,plain,
( spl0_107
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f593,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1852,plain,
spl0_106,
inference(avatar_split_clause,[],[f592,f1850]) ).
fof(f1850,plain,
( spl0_106
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f592,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1848,plain,
spl0_105,
inference(avatar_split_clause,[],[f591,f1846]) ).
fof(f1846,plain,
( spl0_105
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f591,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1844,plain,
spl0_104,
inference(avatar_split_clause,[],[f590,f1842]) ).
fof(f1842,plain,
( spl0_104
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f590,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1840,plain,
spl0_103,
inference(avatar_split_clause,[],[f583,f1838]) ).
fof(f1838,plain,
( spl0_103
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f583,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1836,plain,
spl0_102,
inference(avatar_split_clause,[],[f582,f1834]) ).
fof(f1834,plain,
( spl0_102
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f582,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1832,plain,
spl0_101,
inference(avatar_split_clause,[],[f581,f1830]) ).
fof(f1830,plain,
( spl0_101
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f581,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1828,plain,
spl0_100,
inference(avatar_split_clause,[],[f580,f1826]) ).
fof(f1826,plain,
( spl0_100
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f580,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1824,plain,
spl0_99,
inference(avatar_split_clause,[],[f579,f1822]) ).
fof(f1822,plain,
( spl0_99
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f579,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1820,plain,
spl0_98,
inference(avatar_split_clause,[],[f578,f1818]) ).
fof(f1818,plain,
( spl0_98
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f578,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1816,plain,
spl0_97,
inference(avatar_split_clause,[],[f574,f1814]) ).
fof(f1814,plain,
( spl0_97
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f574,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1812,plain,
spl0_96,
inference(avatar_split_clause,[],[f573,f1810]) ).
fof(f1810,plain,
( spl0_96
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f573,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1808,plain,
spl0_95,
inference(avatar_split_clause,[],[f572,f1806]) ).
fof(f1806,plain,
( spl0_95
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f572,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1804,plain,
spl0_94,
inference(avatar_split_clause,[],[f571,f1802]) ).
fof(f1802,plain,
( spl0_94
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f571,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1800,plain,
spl0_93,
inference(avatar_split_clause,[],[f564,f1798]) ).
fof(f1798,plain,
( spl0_93
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f564,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1796,plain,
spl0_92,
inference(avatar_split_clause,[],[f562,f1794]) ).
fof(f1794,plain,
( spl0_92
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f562,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1792,plain,
spl0_91,
inference(avatar_split_clause,[],[f561,f1790]) ).
fof(f1790,plain,
( spl0_91
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f561,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1788,plain,
spl0_90,
inference(avatar_split_clause,[],[f560,f1786]) ).
fof(f1786,plain,
( spl0_90
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f560,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1784,plain,
spl0_89,
inference(avatar_split_clause,[],[f555,f1782]) ).
fof(f1782,plain,
( spl0_89
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f555,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1780,plain,
spl0_88,
inference(avatar_split_clause,[],[f554,f1778]) ).
fof(f1778,plain,
( spl0_88
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f554,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1776,plain,
spl0_87,
inference(avatar_split_clause,[],[f553,f1774]) ).
fof(f1774,plain,
( spl0_87
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f553,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1772,plain,
spl0_86,
inference(avatar_split_clause,[],[f552,f1770]) ).
fof(f1770,plain,
( spl0_86
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f552,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1768,plain,
spl0_85,
inference(avatar_split_clause,[],[f551,f1766]) ).
fof(f1766,plain,
( spl0_85
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f551,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1764,plain,
spl0_84,
inference(avatar_split_clause,[],[f546,f1762]) ).
fof(f1762,plain,
( spl0_84
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f546,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1760,plain,
spl0_83,
inference(avatar_split_clause,[],[f545,f1758]) ).
fof(f1758,plain,
( spl0_83
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f545,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X58)
| class_OrderedGroup_Olordered__ab__group(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1756,plain,
spl0_82,
inference(avatar_split_clause,[],[f544,f1754]) ).
fof(f1754,plain,
( spl0_82
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f544,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1752,plain,
spl0_81,
inference(avatar_split_clause,[],[f543,f1750]) ).
fof(f1750,plain,
( spl0_81
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f543,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1748,plain,
spl0_80,
inference(avatar_split_clause,[],[f542,f1746]) ).
fof(f1746,plain,
( spl0_80
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f542,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1744,plain,
spl0_79,
inference(avatar_split_clause,[],[f541,f1742]) ).
fof(f1742,plain,
( spl0_79
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f541,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1740,plain,
spl0_78,
inference(avatar_split_clause,[],[f540,f1738]) ).
fof(f1738,plain,
( spl0_78
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f540,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1736,plain,
spl0_77,
inference(avatar_split_clause,[],[f536,f1734]) ).
fof(f1734,plain,
( spl0_77
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f536,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1732,plain,
spl0_76,
inference(avatar_split_clause,[],[f535,f1730]) ).
fof(f1730,plain,
( spl0_76
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f535,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1728,plain,
spl0_75,
inference(avatar_split_clause,[],[f534,f1726]) ).
fof(f1726,plain,
( spl0_75
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Olorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f534,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_LOrder_Olorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1724,plain,
spl0_74,
inference(avatar_split_clause,[],[f527,f1722]) ).
fof(f1722,plain,
( spl0_74
<=> ! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f527,axiom,
! [X58] :
( ~ class_OrderedGroup_Olordered__ab__group(X58)
| class_OrderedGroup_Opordered__ab__group__add(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1720,plain,
spl0_73,
inference(avatar_split_clause,[],[f468,f1718]) ).
fof(f1718,plain,
( spl0_73
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f468,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1716,plain,
spl0_72,
inference(avatar_split_clause,[],[f467,f1714]) ).
fof(f1714,plain,
( spl0_72
<=> ! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f467,axiom,
! [X58] :
( ~ class_LOrder_Omeet__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1712,plain,
spl0_71,
inference(avatar_split_clause,[],[f466,f1710]) ).
fof(f1710,plain,
( spl0_71
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f466,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Ojoin__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1708,plain,
spl0_70,
inference(avatar_split_clause,[],[f465,f1706]) ).
fof(f1706,plain,
( spl0_70
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f465,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1704,plain,
spl0_69,
inference(avatar_split_clause,[],[f464,f1702]) ).
fof(f1702,plain,
( spl0_69
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f464,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1700,plain,
spl0_68,
inference(avatar_split_clause,[],[f463,f1698]) ).
fof(f1698,plain,
( spl0_68
<=> ! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f463,axiom,
! [X58] :
( ~ class_LOrder_Olorder(X58)
| class_LOrder_Omeet__semilorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1696,plain,
spl0_67,
inference(avatar_split_clause,[],[f462,f1694]) ).
fof(f1694,plain,
( spl0_67
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f462,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oorder(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1692,plain,
spl0_66,
inference(avatar_split_clause,[],[f461,f1690]) ).
fof(f1690,plain,
( spl0_66
<=> ! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f461,axiom,
! [X58] :
( ~ class_LOrder_Ojoin__semilorder(X58)
| class_Orderings_Oord(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1688,plain,
spl0_65,
inference(avatar_split_clause,[],[f306,f1686]) ).
fof(f306,axiom,
! [X1,X9] : c_in(X9,c_UNIV,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1684,plain,
spl0_64,
inference(avatar_split_clause,[],[f274,f1682]) ).
fof(f1682,plain,
( spl0_64
<=> ! [X24] : ~ c_less(X24,X24,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f274,axiom,
! [X24] : ~ c_less(X24,X24,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1680,plain,
spl0_63,
inference(avatar_split_clause,[],[f272,f1678]) ).
fof(f1678,plain,
( spl0_63
<=> ! [X24] : c_lessequals(c_0,X24,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f272,axiom,
! [X24] : c_lessequals(c_0,X24,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1676,plain,
spl0_62,
inference(avatar_split_clause,[],[f248,f1674]) ).
fof(f1674,plain,
( spl0_62
<=> ! [X18] : c_Divides_Oop_Advd(c_1,X18,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f248,axiom,
! [X18] : c_Divides_Oop_Advd(c_1,X18,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1672,plain,
spl0_61,
inference(avatar_split_clause,[],[f247,f1670]) ).
fof(f247,axiom,
! [X18] : c_Divides_Oop_Advd(X18,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1668,plain,
spl0_60,
inference(avatar_split_clause,[],[f231,f1666]) ).
fof(f1666,plain,
( spl0_60
<=> ! [X18] : c_Divides_Oop_Advd(X18,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f231,axiom,
! [X18] : c_Divides_Oop_Advd(X18,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1664,plain,
spl0_59,
inference(avatar_split_clause,[],[f184,f1662]) ).
fof(f184,axiom,
! [X1,X4] : ~ c_in(X4,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f1660,plain,
spl0_58,
inference(avatar_split_clause,[],[f130,f1658]) ).
fof(f1658,plain,
( spl0_58
<=> ! [X24] : ~ c_less(X24,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f130,axiom,
! [X24] : ~ c_less(X24,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f1656,plain,
spl0_57,
inference(avatar_split_clause,[],[f125,f1653]) ).
fof(f1653,plain,
( spl0_57
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f125,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f1651,plain,
spl0_56,
inference(avatar_split_clause,[],[f112,f1649]) ).
fof(f1649,plain,
( spl0_56
<=> ! [X18] : c_0 != c_Suc(X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f112,axiom,
! [X18] : c_0 != c_Suc(X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f1647,plain,
spl0_55,
inference(avatar_split_clause,[],[f457,f1645]) ).
fof(f1645,plain,
( spl0_55
<=> ! [X56] : class_Orderings_Oorder(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f457,axiom,
! [X56] : class_Orderings_Oorder(tc_set(X56)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1643,plain,
spl0_54,
inference(avatar_split_clause,[],[f456,f1641]) ).
fof(f1641,plain,
( spl0_54
<=> ! [X56] : class_Orderings_Oord(tc_set(X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f456,axiom,
! [X56] : class_Orderings_Oord(tc_set(X56)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1639,plain,
spl0_53,
inference(avatar_split_clause,[],[f334,f1636]) ).
fof(f1636,plain,
( spl0_53
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f334,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1634,plain,
spl0_52,
inference(avatar_split_clause,[],[f332,f1631]) ).
fof(f1631,plain,
( spl0_52
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f332,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1629,plain,
spl0_51,
inference(avatar_split_clause,[],[f331,f1627]) ).
fof(f1627,plain,
( spl0_51
<=> ! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f331,axiom,
! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1625,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f176,f1622]) ).
fof(f1622,plain,
( spl0_50
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f176,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1620,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f132,f1617]) ).
fof(f1617,plain,
( spl0_49
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f132,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1615,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f40,f1612]) ).
fof(f1612,plain,
( spl0_48
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f40,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1610,plain,
spl0_47,
inference(avatar_split_clause,[],[f452,f1607]) ).
fof(f1607,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f452,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1605,plain,
spl0_46,
inference(avatar_split_clause,[],[f451,f1602]) ).
fof(f1602,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f451,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1600,plain,
spl0_45,
inference(avatar_split_clause,[],[f450,f1597]) ).
fof(f1597,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f450,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1595,plain,
spl0_44,
inference(avatar_split_clause,[],[f449,f1592]) ).
fof(f1592,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f449,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1590,plain,
spl0_43,
inference(avatar_split_clause,[],[f444,f1587]) ).
fof(f1587,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f444,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1585,plain,
spl0_42,
inference(avatar_split_clause,[],[f443,f1582]) ).
fof(f1582,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f443,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1580,plain,
spl0_41,
inference(avatar_split_clause,[],[f442,f1577]) ).
fof(f1577,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f442,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1575,plain,
spl0_40,
inference(avatar_split_clause,[],[f441,f1572]) ).
fof(f1572,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f441,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1570,plain,
spl0_39,
inference(avatar_split_clause,[],[f440,f1567]) ).
fof(f1567,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f440,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1565,plain,
spl0_38,
inference(avatar_split_clause,[],[f439,f1562]) ).
fof(f1562,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f439,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1560,plain,
spl0_37,
inference(avatar_split_clause,[],[f438,f1557]) ).
fof(f1557,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f438,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1555,plain,
spl0_36,
inference(avatar_split_clause,[],[f437,f1552]) ).
fof(f1552,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f437,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1550,plain,
spl0_35,
inference(avatar_split_clause,[],[f436,f1547]) ).
fof(f1547,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f436,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1545,plain,
spl0_34,
inference(avatar_split_clause,[],[f435,f1542]) ).
fof(f1542,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f435,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1540,plain,
spl0_33,
inference(avatar_split_clause,[],[f434,f1537]) ).
fof(f1537,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f434,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1535,plain,
spl0_32,
inference(avatar_split_clause,[],[f433,f1532]) ).
fof(f1532,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f433,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1530,plain,
spl0_31,
inference(avatar_split_clause,[],[f429,f1527]) ).
fof(f1527,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f429,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1525,plain,
spl0_30,
inference(avatar_split_clause,[],[f418,f1522]) ).
fof(f1522,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f418,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1520,plain,
spl0_29,
inference(avatar_split_clause,[],[f403,f1517]) ).
fof(f1517,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f403,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1515,plain,
spl0_28,
inference(avatar_split_clause,[],[f402,f1512]) ).
fof(f1512,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f402,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1510,plain,
spl0_27,
inference(avatar_split_clause,[],[f391,f1507]) ).
fof(f1507,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f391,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1505,plain,
spl0_26,
inference(avatar_split_clause,[],[f389,f1502]) ).
fof(f1502,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f389,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1500,plain,
spl0_25,
inference(avatar_split_clause,[],[f388,f1497]) ).
fof(f1497,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f388,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1495,plain,
spl0_24,
inference(avatar_split_clause,[],[f386,f1492]) ).
fof(f1492,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f386,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1490,plain,
spl0_23,
inference(avatar_split_clause,[],[f385,f1487]) ).
fof(f1487,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f385,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1485,plain,
spl0_22,
inference(avatar_split_clause,[],[f384,f1482]) ).
fof(f1482,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f384,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1480,plain,
spl0_21,
inference(avatar_split_clause,[],[f383,f1477]) ).
fof(f1477,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f383,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1475,plain,
spl0_20,
inference(avatar_split_clause,[],[f382,f1472]) ).
fof(f1472,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f382,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1470,plain,
spl0_19,
inference(avatar_split_clause,[],[f381,f1467]) ).
fof(f1467,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f381,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1465,plain,
spl0_18,
inference(avatar_split_clause,[],[f380,f1462]) ).
fof(f1462,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f380,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1460,plain,
spl0_17,
inference(avatar_split_clause,[],[f379,f1457]) ).
fof(f1457,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f379,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1455,plain,
spl0_16,
inference(avatar_split_clause,[],[f378,f1452]) ).
fof(f1452,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f378,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1450,plain,
spl0_15,
inference(avatar_split_clause,[],[f377,f1447]) ).
fof(f1447,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f377,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1445,plain,
spl0_14,
inference(avatar_split_clause,[],[f376,f1442]) ).
fof(f1442,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f376,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1440,plain,
spl0_13,
inference(avatar_split_clause,[],[f375,f1437]) ).
fof(f1437,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f375,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1435,plain,
spl0_12,
inference(avatar_split_clause,[],[f374,f1432]) ).
fof(f1432,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f374,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1430,plain,
spl0_11,
inference(avatar_split_clause,[],[f373,f1427]) ).
fof(f1427,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f373,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1425,plain,
spl0_10,
inference(avatar_split_clause,[],[f372,f1422]) ).
fof(f1422,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f372,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1420,plain,
spl0_9,
inference(avatar_split_clause,[],[f370,f1417]) ).
fof(f1417,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f370,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1415,plain,
spl0_8,
inference(avatar_split_clause,[],[f369,f1412]) ).
fof(f1412,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1410,plain,
spl0_7,
inference(avatar_split_clause,[],[f368,f1407]) ).
fof(f1407,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f368,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1405,plain,
spl0_6,
inference(avatar_split_clause,[],[f367,f1402]) ).
fof(f1402,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f367,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1400,plain,
spl0_5,
inference(avatar_split_clause,[],[f366,f1397]) ).
fof(f1397,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f366,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1395,plain,
spl0_4,
inference(avatar_split_clause,[],[f365,f1392]) ).
fof(f1392,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f365,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1390,plain,
spl0_3,
inference(avatar_split_clause,[],[f364,f1387]) ).
fof(f1387,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f364,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1385,plain,
spl0_2,
inference(avatar_split_clause,[],[f363,f1382]) ).
fof(f1382,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f363,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1380,plain,
spl0_1,
inference(avatar_split_clause,[],[f362,f1377]) ).
fof(f1377,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f362,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL436-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 13:43:09 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.30 % (2172)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (2175)WARNING: value z3 for option sas not known
% 0.14/0.32 % (2173)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (2175)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)
% 0.14/0.32 % (2179)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)
% 0.14/0.32 % (2178)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)
% 0.14/0.32 % (2177)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)
% 0.14/0.33 % (2176)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.33 % (2174)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.40 % (2177)First to succeed.
% 0.14/0.41 TRYING [2]
% 0.14/0.42 % (2177)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2172"
% 0.14/0.42 % (2177)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (2177)------------------------------
% 0.14/0.43 % (2177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.43 % (2177)Termination reason: Refutation
% 0.14/0.43
% 0.14/0.43 % (2177)Memory used [KB]: 3216
% 0.14/0.43 % (2177)Time elapsed: 0.099 s
% 0.14/0.43 % (2177)Instructions burned: 172 (million)
% 0.14/0.43 % (2172)Success in time 0.132 s
%------------------------------------------------------------------------------