TSTP Solution File: SWV364-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV364-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 06:18:21 EDT 2024
% Result : Unsatisfiable 1.05s 0.57s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1237
% Syntax : Number of formulae : 1949 ( 768 unt; 0 def)
% Number of atoms : 3777 ( 422 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 3087 (1259 ~;1196 |; 0 &)
% ( 632 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 670 ( 668 usr; 633 prp; 0-3 aty)
% Number of functors : 128 ( 128 usr; 31 con; 0-5 aty)
% Number of variables : 2508 (2508 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5048,plain,
$false,
inference(avatar_sat_refutation,[],[f1498,f1503,f1508,f1513,f1518,f1523,f1528,f1533,f1538,f1543,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1583,f1588,f1593,f1598,f1603,f1608,f1613,f1618,f1623,f1628,f1633,f1638,f1643,f1648,f1653,f1658,f1663,f1668,f1673,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1728,f1733,f1738,f1742,f1747,f1752,f1756,f1760,f1765,f1770,f1775,f1780,f1785,f1790,f1794,f1798,f1802,f1806,f1810,f1814,f1818,f1822,f1826,f1830,f1834,f1838,f1842,f1846,f1850,f1854,f1858,f1862,f1866,f1870,f1874,f1878,f1882,f1886,f1890,f1894,f1898,f1902,f1906,f1910,f1914,f1918,f1922,f1926,f1930,f1934,f1938,f1942,f1946,f1950,f1954,f1958,f1962,f1966,f1970,f1974,f1978,f1982,f1986,f1990,f1994,f1998,f2002,f2006,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2078,f2082,f2086,f2090,f2094,f2098,f2102,f2106,f2110,f2114,f2118,f2122,f2126,f2130,f2134,f2138,f2142,f2146,f2150,f2154,f2158,f2162,f2166,f2170,f2174,f2178,f2182,f2186,f2190,f2194,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2226,f2230,f2234,f2238,f2242,f2246,f2250,f2254,f2258,f2262,f2266,f2270,f2274,f2278,f2282,f2286,f2290,f2294,f2298,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2366,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2406,f2410,f2414,f2418,f2422,f2426,f2430,f2434,f2438,f2442,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2534,f2538,f2542,f2546,f2550,f2554,f2558,f2562,f2566,f2570,f2574,f2578,f2582,f2586,f2590,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2654,f2658,f2662,f2666,f2670,f2674,f2679,f2683,f2687,f2692,f2697,f2701,f2705,f3016,f3020,f3024,f3028,f3032,f3036,f3040,f3044,f3048,f3053,f3057,f3061,f3065,f3069,f3073,f3077,f3081,f3085,f3089,f3093,f3097,f3102,f3106,f3110,f3114,f3118,f3122,f3126,f3130,f3134,f3138,f3142,f3146,f3150,f3154,f3158,f3162,f3166,f3170,f3174,f3178,f3182,f3186,f3190,f3194,f3198,f3202,f3206,f3210,f3214,f3234,f3238,f3242,f3246,f3250,f3254,f3258,f3262,f3266,f3270,f3274,f3278,f3282,f3286,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3358,f3362,f3366,f3370,f3394,f3398,f3402,f3406,f3412,f3416,f3420,f3424,f3428,f3432,f3436,f3440,f3444,f3448,f3452,f3456,f3460,f3464,f3468,f3472,f3476,f3480,f3484,f3488,f3492,f3496,f3500,f3504,f3508,f3512,f3516,f3520,f3524,f3547,f3553,f3557,f3561,f3565,f3569,f3573,f3577,f3581,f3585,f3589,f3593,f3597,f3601,f3605,f3609,f3613,f3617,f3621,f3625,f3629,f3633,f3637,f3641,f3645,f3649,f3653,f3657,f3661,f3665,f3669,f3673,f3677,f3681,f3685,f3689,f3693,f3724,f3740,f3749,f3753,f3757,f3761,f3765,f3769,f3773,f3777,f3781,f3785,f3789,f3793,f3797,f3801,f3805,f3815,f3819,f3829,f3843,f3847,f3855,f3859,f3863,f3867,f3871,f3875,f3879,f3883,f3887,f3891,f3903,f3907,f3911,f3915,f3919,f3923,f3927,f3931,f3935,f3939,f3951,f3955,f3959,f3963,f3967,f3971,f3975,f3979,f3983,f3987,f3991,f3995,f3999,f4003,f4007,f4011,f4015,f4019,f4023,f4027,f4031,f4035,f4039,f4043,f4072,f4112,f4134,f4138,f4142,f4146,f4150,f4154,f4158,f4162,f4166,f4170,f4174,f4178,f4182,f4186,f4190,f4194,f4198,f4212,f4231,f4235,f4243,f4247,f4251,f4255,f4259,f4263,f4267,f4271,f4275,f4279,f4283,f4287,f4291,f4295,f4299,f4303,f4333,f4366,f4370,f4374,f4378,f4382,f4386,f4390,f4394,f4398,f4402,f4406,f4410,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4472,f4532,f4536,f4549,f4553,f4557,f4561,f4565,f4569,f4573,f4577,f4581,f4585,f4589,f4623,f4627,f4631,f4635,f4639,f4643,f4647,f4651,f4655,f4659,f4663,f4667,f4671,f4675,f4679,f4683,f4687,f4691,f4699,f4754,f4774,f4778,f4782,f4786,f4790,f4794,f4798,f4802,f4806,f4827,f4837,f4841,f4845,f4849,f4855,f4859,f4863,f4867,f4894,f4898,f4902,f4906,f4911,f4915,f4919,f4923,f4927,f4931,f4935,f5016,f5020,f5047]) ).
fof(f5047,plain,
( spl0_2
| ~ spl0_502
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f4967,f4908,f4013,f1500]) ).
fof(f1500,plain,
( spl0_2
<=> c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f4013,plain,
( spl0_502
<=> ! [X64,X65,X53] :
( c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f4908,plain,
( spl0_624
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f4967,plain,
( c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_502
| ~ spl0_624 ),
inference(resolution,[],[f4910,f4014]) ).
fof(f4014,plain,
( ! [X65,X53,X64] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg) )
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f4013]) ).
fof(f4910,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f4908]) ).
fof(f5020,plain,
spl0_632,
inference(avatar_split_clause,[],[f121,f5018]) ).
fof(f5018,plain,
( spl0_632
<=> ! [X5,X18,X27,X1] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f121,axiom,
! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f5016,plain,
spl0_631,
inference(avatar_split_clause,[],[f74,f5014]) ).
fof(f5014,plain,
( spl0_631
<=> ! [X5,X18,X12,X27,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f74,axiom,
! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4935,plain,
spl0_630,
inference(avatar_split_clause,[],[f1287,f4933]) ).
fof(f4933,plain,
( spl0_630
<=> ! [X5,X18,X27,X2,X1] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1287,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4931,plain,
spl0_629,
inference(avatar_split_clause,[],[f1286,f4929]) ).
fof(f4929,plain,
( spl0_629
<=> ! [X5,X18,X27,X2,X1] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f1286,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4927,plain,
spl0_628,
inference(avatar_split_clause,[],[f1191,f4925]) ).
fof(f4925,plain,
( spl0_628
<=> ! [X18,X13,X12,X1] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f1191,axiom,
! [X1,X18,X12,X13] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4923,plain,
spl0_627,
inference(avatar_split_clause,[],[f1190,f4921]) ).
fof(f4921,plain,
( spl0_627
<=> ! [X18,X13,X12,X1] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1190,axiom,
! [X1,X18,X12,X13] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4919,plain,
spl0_626,
inference(avatar_split_clause,[],[f79,f4917]) ).
fof(f4917,plain,
( spl0_626
<=> ! [X12,X1,X4] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f79,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4915,plain,
spl0_625,
inference(avatar_split_clause,[],[f75,f4913]) ).
fof(f4913,plain,
( spl0_625
<=> ! [X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f75,axiom,
! [X2,X1,X27,X5] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4911,plain,
( ~ spl0_1
| spl0_624
| ~ spl0_60
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f4889,f4865,f1787,f4908,f1495]) ).
fof(f1495,plain,
( spl0_1
<=> c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1787,plain,
( spl0_60
<=> c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f4865,plain,
( spl0_619
<=> ! [X54,X53,X13] :
( ~ c_in(X54,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f4889,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_60
| ~ spl0_619 ),
inference(resolution,[],[f4866,f1789]) ).
fof(f1789,plain,
( c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f4866,plain,
( ! [X54,X53,X13] :
( ~ c_in(c_Event_Oevent_OGets(X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(X54,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_619 ),
inference(avatar_component_clause,[],[f4865]) ).
fof(f4906,plain,
spl0_623,
inference(avatar_split_clause,[],[f69,f4904]) ).
fof(f4904,plain,
( spl0_623
<=> ! [X18,X5,X2,X1] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f69,axiom,
! [X2,X18,X1,X5] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4902,plain,
spl0_622,
inference(avatar_split_clause,[],[f60,f4900]) ).
fof(f4900,plain,
( spl0_622
<=> ! [X18,X12,X1,X26] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f60,axiom,
! [X18,X1,X26,X12] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4898,plain,
spl0_621,
inference(avatar_split_clause,[],[f22,f4896]) ).
fof(f4896,plain,
( spl0_621
<=> ! [X13,X7,X12,X2,X1] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f22,axiom,
! [X2,X1,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4894,plain,
spl0_620,
inference(avatar_split_clause,[],[f21,f4892]) ).
fof(f4892,plain,
( spl0_620
<=> ! [X13,X12,X9,X2,X1] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f21,axiom,
! [X2,X1,X9,X12,X13] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4867,plain,
spl0_619,
inference(avatar_split_clause,[],[f1470,f4865]) ).
fof(f1470,axiom,
! [X54,X53,X13] :
( ~ c_in(X54,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f4863,plain,
spl0_618,
inference(avatar_split_clause,[],[f33,f4861]) ).
fof(f4861,plain,
( spl0_618
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f33,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4859,plain,
spl0_617,
inference(avatar_split_clause,[],[f32,f4857]) ).
fof(f4857,plain,
( spl0_617
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f32,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4855,plain,
( spl0_616
| ~ spl0_66
| ~ spl0_587 ),
inference(avatar_split_clause,[],[f4737,f4641,f1812,f4853]) ).
fof(f4853,plain,
( spl0_616
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f1812,plain,
( spl0_66
<=> ! [X0,X1] : c_in(X0,c_UNIV,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4641,plain,
( spl0_587
<=> ! [X5,X18,X27,X2,X1] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f4737,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2)
| ~ spl0_66
| ~ spl0_587 ),
inference(resolution,[],[f4642,f1813]) ).
fof(f1813,plain,
( ! [X0,X1] : c_in(X0,c_UNIV,X1)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f4642,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_ORange(X5,X1,X2),X2) )
| ~ spl0_587 ),
inference(avatar_component_clause,[],[f4641]) ).
fof(f4849,plain,
spl0_615,
inference(avatar_split_clause,[],[f1439,f4847]) ).
fof(f4847,plain,
( spl0_615
<=> ! [X63,X64,X53] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X63)),c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oanalz(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f1439,axiom,
! [X63,X53,X64] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X63)),c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oanalz(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f4845,plain,
spl0_614,
inference(avatar_split_clause,[],[f1242,f4843]) ).
fof(f4843,plain,
( spl0_614
<=> ! [X3,X23,X25,X1] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f1242,axiom,
! [X3,X1,X25,X23] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4841,plain,
spl0_613,
inference(avatar_split_clause,[],[f57,f4839]) ).
fof(f4839,plain,
( spl0_613
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f57,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4837,plain,
spl0_612,
inference(avatar_split_clause,[],[f56,f4835]) ).
fof(f4835,plain,
( spl0_612
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f56,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4827,plain,
( spl0_611
| ~ spl0_430
| ~ spl0_587 ),
inference(avatar_split_clause,[],[f4726,f4641,f3639,f4825]) ).
fof(f4825,plain,
( spl0_611
<=> ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f3639,plain,
( spl0_430
<=> ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f4726,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_430
| ~ spl0_587 ),
inference(resolution,[],[f4642,f3640]) ).
fof(f3640,plain,
( ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f3639]) ).
fof(f4806,plain,
spl0_610,
inference(avatar_split_clause,[],[f1417,f4804]) ).
fof(f4804,plain,
( spl0_610
<=> ! [X20,X64,X4] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X64,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f1417,axiom,
! [X4,X20,X64] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X64,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oin__parts__UnE_0) ).
fof(f4802,plain,
spl0_609,
inference(avatar_split_clause,[],[f1403,f4800]) ).
fof(f4800,plain,
( spl0_609
<=> ! [X64,X65,X53] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f1403,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f4798,plain,
spl0_608,
inference(avatar_split_clause,[],[f1402,f4796]) ).
fof(f4796,plain,
( spl0_608
<=> ! [X64,X65,X53] :
( c_in(X65,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f1402,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f4794,plain,
spl0_607,
inference(avatar_split_clause,[],[f1375,f4792]) ).
fof(f4792,plain,
( spl0_607
<=> ! [X63,X64,X53] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f1375,axiom,
! [X63,X53,X64] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f4790,plain,
( spl0_606
| ~ spl0_66
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4712,f4629,f1812,f4788]) ).
fof(f4788,plain,
( spl0_606
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f4629,plain,
( spl0_584
<=> ! [X18,X5,X27,X2,X1] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f4712,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1)
| ~ spl0_66
| ~ spl0_584 ),
inference(resolution,[],[f4630,f1813]) ).
fof(f4630,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_584 ),
inference(avatar_component_clause,[],[f4629]) ).
fof(f4786,plain,
spl0_605,
inference(avatar_split_clause,[],[f1374,f4784]) ).
fof(f4784,plain,
( spl0_605
<=> ! [X64,X53,X63] :
( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f1374,axiom,
! [X63,X53,X64] :
( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f4782,plain,
spl0_604,
inference(avatar_split_clause,[],[f1218,f4780]) ).
fof(f4780,plain,
( spl0_604
<=> ! [X23,X0,X3,X25,X1] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f1218,axiom,
! [X3,X0,X1,X25,X23] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4778,plain,
spl0_603,
inference(avatar_split_clause,[],[f1217,f4776]) ).
fof(f4776,plain,
( spl0_603
<=> ! [X3,X0,X23,X25,X1] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f1217,axiom,
! [X3,X0,X1,X25,X23] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4774,plain,
spl0_602,
inference(avatar_split_clause,[],[f1196,f4772]) ).
fof(f4772,plain,
( spl0_602
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1196,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4754,plain,
( spl0_601
| ~ spl0_430
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4701,f4629,f3639,f4752]) ).
fof(f4752,plain,
( spl0_601
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f4701,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_430
| ~ spl0_584 ),
inference(resolution,[],[f4630,f3640]) ).
fof(f4699,plain,
( spl0_600
| ~ spl0_467
| ~ spl0_557 ),
inference(avatar_split_clause,[],[f4441,f4396,f3857,f4697]) ).
fof(f4697,plain,
( spl0_600
<=> ! [X0,X1] : c_lessequals(c_Union(c_emptyset,X0),X1,tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f3857,plain,
( spl0_467
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f4396,plain,
( spl0_557
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f4441,plain,
( ! [X0,X1] : c_lessequals(c_Union(c_emptyset,X0),X1,tc_set(X0))
| ~ spl0_467
| ~ spl0_557 ),
inference(resolution,[],[f4397,f3858]) ).
fof(f3858,plain,
( ! [X1,X12,X13] :
( c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f3857]) ).
fof(f4397,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_557 ),
inference(avatar_component_clause,[],[f4396]) ).
fof(f4691,plain,
spl0_599,
inference(avatar_split_clause,[],[f1434,f4689]) ).
fof(f4689,plain,
( spl0_599
<=> ! [X64,X65,X53] :
( ~ c_in(X65,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f1434,axiom,
! [X65,X53,X64] :
( ~ c_in(X65,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
fof(f4687,plain,
spl0_598,
inference(avatar_split_clause,[],[f1431,f4685]) ).
fof(f4685,plain,
( spl0_598
<=> ! [X63,X64,X53] :
( ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f1431,axiom,
! [X63,X53,X64] :
( ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OCrypt_0) ).
fof(f4683,plain,
spl0_597,
inference(avatar_split_clause,[],[f1343,f4681]) ).
fof(f4681,plain,
( spl0_597
<=> ! [X12,X0,X1] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f1343,axiom,
! [X0,X1,X12] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
fof(f4679,plain,
spl0_596,
inference(avatar_split_clause,[],[f1342,f4677]) ).
fof(f4677,plain,
( spl0_596
<=> ! [X12,X27,X1,X18] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f1342,axiom,
! [X1,X18,X27,X12] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
fof(f4675,plain,
spl0_595,
inference(avatar_split_clause,[],[f1220,f4673]) ).
fof(f4673,plain,
( spl0_595
<=> ! [X12,X1,X23,X25] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f1220,axiom,
! [X1,X25,X12,X23] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4671,plain,
spl0_594,
inference(avatar_split_clause,[],[f1219,f4669]) ).
fof(f4669,plain,
( spl0_594
<=> ! [X23,X12,X25,X1] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1219,axiom,
! [X1,X12,X23,X25] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4667,plain,
spl0_593,
inference(avatar_split_clause,[],[f1201,f4665]) ).
fof(f4665,plain,
( spl0_593
<=> ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f1201,axiom,
! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4663,plain,
spl0_592,
inference(avatar_split_clause,[],[f1198,f4661]) ).
fof(f4661,plain,
( spl0_592
<=> ! [X2,X5,X1] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f1198,axiom,
! [X2,X1,X5] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4659,plain,
spl0_591,
inference(avatar_split_clause,[],[f1197,f4657]) ).
fof(f4657,plain,
( spl0_591
<=> ! [X2,X5,X1] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f1197,axiom,
! [X2,X1,X5] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4655,plain,
( spl0_590
| ~ spl0_468
| ~ spl0_548 ),
inference(avatar_split_clause,[],[f4361,f4331,f3861,f4653]) ).
fof(f4653,plain,
( spl0_590
<=> ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f3861,plain,
( spl0_468
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f4331,plain,
( spl0_548
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f4361,plain,
( ! [X0,X1] : c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1))
| ~ spl0_468
| ~ spl0_548 ),
inference(resolution,[],[f4332,f3862]) ).
fof(f3862,plain,
( ! [X1,X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f3861]) ).
fof(f4332,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_548 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4651,plain,
spl0_589,
inference(avatar_split_clause,[],[f114,f4649]) ).
fof(f4649,plain,
( spl0_589
<=> ! [X13,X12,X27,X2,X1] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f114,axiom,
! [X2,X1,X27,X12,X13] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4647,plain,
spl0_588,
inference(avatar_split_clause,[],[f113,f4645]) ).
fof(f4645,plain,
( spl0_588
<=> ! [X18,X13,X12,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f113,axiom,
! [X2,X18,X1,X12,X13] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4643,plain,
spl0_587,
inference(avatar_split_clause,[],[f76,f4641]) ).
fof(f76,axiom,
! [X2,X1,X18,X27,X5] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4639,plain,
spl0_586,
inference(avatar_split_clause,[],[f72,f4637]) ).
fof(f4637,plain,
( spl0_586
<=> ! [X12,X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f72,axiom,
! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4635,plain,
spl0_585,
inference(avatar_split_clause,[],[f71,f4633]) ).
fof(f4633,plain,
( spl0_585
<=> ! [X1,X28] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f71,axiom,
! [X28,X1] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4631,plain,
spl0_584,
inference(avatar_split_clause,[],[f70,f4629]) ).
fof(f70,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4627,plain,
spl0_583,
inference(avatar_split_clause,[],[f58,f4625]) ).
fof(f4625,plain,
( spl0_583
<=> ! [X12,X0,X1,X26] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f58,axiom,
! [X0,X1,X26,X12] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4623,plain,
spl0_582,
inference(avatar_split_clause,[],[f46,f4621]) ).
fof(f4621,plain,
( spl0_582
<=> ! [X24,X23,X12,X1] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f46,axiom,
! [X1,X24,X12,X23] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4589,plain,
( spl0_581
| ~ spl0_66
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f4308,f4241,f1812,f4587]) ).
fof(f4587,plain,
( spl0_581
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f4241,plain,
( spl0_532
<=> ! [X12,X1,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f4308,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_66
| ~ spl0_532 ),
inference(resolution,[],[f4242,f1813]) ).
fof(f4242,plain,
( ! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f4241]) ).
fof(f4585,plain,
spl0_580,
inference(avatar_split_clause,[],[f1487,f4583]) ).
fof(f4583,plain,
( spl0_580
<=> ! [X65,X53,X67,X66] :
( X53 = X66
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X66,X67)),X67) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1487,plain,
! [X65,X53,X66,X67] :
( X53 = X66
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X66,X67)),X67) ),
inference(definition_unfolding,[],[f1379,f1399,f1399]) ).
fof(f1399,axiom,
! [X0,X53] : c_Message_OHPair(X53,X0) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__eq__HPair__iff2_0) ).
fof(f1379,axiom,
! [X65,X53,X66,X67] :
( X53 = X66
| c_Message_OHPair(X53,X65) != c_Message_OHPair(X66,X67) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHPair__eq__iff1_0) ).
fof(f4581,plain,
spl0_579,
inference(avatar_split_clause,[],[f1437,f4579]) ).
fof(f4579,plain,
( spl0_579
<=> ! [X54,X53,X12,X13] :
( c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X12,X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f1437,axiom,
! [X54,X53,X12,X13] :
( c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X12,X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f4577,plain,
spl0_578,
inference(avatar_split_clause,[],[f1393,f4575]) ).
fof(f4575,plain,
( spl0_578
<=> ! [X64,X53] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f1393,axiom,
! [X53,X64] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHash__synth_0) ).
fof(f4573,plain,
spl0_577,
inference(avatar_split_clause,[],[f1318,f4571]) ).
fof(f4571,plain,
( spl0_577
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f1318,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4569,plain,
spl0_576,
inference(avatar_split_clause,[],[f1315,f4567]) ).
fof(f4567,plain,
( spl0_576
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f1315,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4565,plain,
spl0_575,
inference(avatar_split_clause,[],[f1314,f4563]) ).
fof(f4563,plain,
( spl0_575
<=> ! [X13,X12,X1] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f1314,axiom,
! [X1,X12,X13] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4561,plain,
spl0_574,
inference(avatar_split_clause,[],[f1243,f4559]) ).
fof(f4559,plain,
( spl0_574
<=> ! [X25,X1,X3] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f1243,axiom,
! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4557,plain,
spl0_573,
inference(avatar_split_clause,[],[f1236,f4555]) ).
fof(f4555,plain,
( spl0_573
<=> ! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f1236,axiom,
! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4553,plain,
spl0_572,
inference(avatar_split_clause,[],[f1216,f4551]) ).
fof(f4551,plain,
( spl0_572
<=> ! [X25,X5,X1] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f1216,axiom,
! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4549,plain,
spl0_571,
inference(avatar_split_clause,[],[f1210,f4547]) ).
fof(f4547,plain,
( spl0_571
<=> ! [X5,X1,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f1210,axiom,
! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f4536,plain,
spl0_570,
inference(avatar_split_clause,[],[f81,f4534]) ).
fof(f4534,plain,
( spl0_570
<=> ! [X12,X1,X18] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f81,axiom,
! [X18,X1,X12] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4532,plain,
spl0_569,
inference(avatar_split_clause,[],[f47,f4530]) ).
fof(f4530,plain,
( spl0_569
<=> ! [X12,X1,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f47,axiom,
! [X1,X12,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4472,plain,
( spl0_568
| ~ spl0_294
| ~ spl0_558 ),
inference(avatar_split_clause,[],[f4462,f4400,f3034,f4470]) ).
fof(f4470,plain,
( spl0_568
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f3034,plain,
( spl0_294
<=> ! [X12,X1] : c_lessequals(X12,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f4400,plain,
( spl0_558
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f4462,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_294
| ~ spl0_558 ),
inference(resolution,[],[f4401,f3035]) ).
fof(f3035,plain,
( ! [X1,X12] : c_lessequals(X12,X12,tc_set(X1))
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f3034]) ).
fof(f4401,plain,
( ! [X3,X0,X1] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1))
| c_lessequals(X3,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_558 ),
inference(avatar_component_clause,[],[f4400]) ).
fof(f4438,plain,
spl0_567,
inference(avatar_split_clause,[],[f1353,f4436]) ).
fof(f4436,plain,
( spl0_567
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f1353,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f4434,plain,
spl0_566,
inference(avatar_split_clause,[],[f1350,f4432]) ).
fof(f4432,plain,
( spl0_566
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f1350,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f4430,plain,
spl0_565,
inference(avatar_split_clause,[],[f1332,f4428]) ).
fof(f4428,plain,
( spl0_565
<=> ! [X53,X12,X32,X1] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1332,axiom,
! [X1,X53,X12,X32] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f4426,plain,
spl0_564,
inference(avatar_split_clause,[],[f1328,f4424]) ).
fof(f4424,plain,
( spl0_564
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f1328,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4422,plain,
spl0_563,
inference(avatar_split_clause,[],[f1322,f4420]) ).
fof(f4420,plain,
( spl0_563
<=> ! [X53,X12,X32,X1] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f1322,axiom,
! [X1,X53,X12,X32] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f4418,plain,
spl0_562,
inference(avatar_split_clause,[],[f1321,f4416]) ).
fof(f4416,plain,
( spl0_562
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f1321,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f4414,plain,
spl0_561,
inference(avatar_split_clause,[],[f1310,f4412]) ).
fof(f4412,plain,
( spl0_561
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f1310,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f4410,plain,
spl0_560,
inference(avatar_split_clause,[],[f1309,f4408]) ).
fof(f4408,plain,
( spl0_560
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f1309,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f4406,plain,
spl0_559,
inference(avatar_split_clause,[],[f1305,f4404]) ).
fof(f4404,plain,
( spl0_559
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f1305,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f4402,plain,
spl0_558,
inference(avatar_split_clause,[],[f1304,f4400]) ).
fof(f1304,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f4398,plain,
( spl0_557
| ~ spl0_284
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f4334,f4253,f2685,f4396]) ).
fof(f2685,plain,
( spl0_284
<=> ! [X18,X1] : ~ c_in(X18,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f4253,plain,
( spl0_535
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f4334,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_284
| ~ spl0_535 ),
inference(resolution,[],[f4254,f2686]) ).
fof(f2686,plain,
( ! [X18,X1] : ~ c_in(X18,c_emptyset,X1)
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f4254,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1))
| ~ c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f4253]) ).
fof(f4394,plain,
spl0_556,
inference(avatar_split_clause,[],[f1300,f4392]) ).
fof(f4392,plain,
( spl0_556
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1300,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f4390,plain,
spl0_555,
inference(avatar_split_clause,[],[f1299,f4388]) ).
fof(f4388,plain,
( spl0_555
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f1299,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f4386,plain,
spl0_554,
inference(avatar_split_clause,[],[f1295,f4384]) ).
fof(f4384,plain,
( spl0_554
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f1295,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f4382,plain,
spl0_553,
inference(avatar_split_clause,[],[f1294,f4380]) ).
fof(f4380,plain,
( spl0_553
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f1294,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f4378,plain,
spl0_552,
inference(avatar_split_clause,[],[f1263,f4376]) ).
fof(f4376,plain,
( spl0_552
<=> ! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f1263,axiom,
! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f4374,plain,
spl0_551,
inference(avatar_split_clause,[],[f127,f4372]) ).
fof(f4372,plain,
( spl0_551
<=> ! [X35,X36,X2,X1] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f127,axiom,
! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f4370,plain,
spl0_550,
inference(avatar_split_clause,[],[f125,f4368]) ).
fof(f4368,plain,
( spl0_550
<=> ! [X34,X33,X2,X1] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f125,axiom,
! [X2,X1,X34,X33] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f4366,plain,
spl0_549,
inference(avatar_split_clause,[],[f80,f4364]) ).
fof(f4364,plain,
( spl0_549
<=> ! [X12,X1,X4] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f80,axiom,
! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f4333,plain,
( spl0_548
| ~ spl0_284
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f4317,f4249,f2685,f4331]) ).
fof(f4249,plain,
( spl0_534
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f4317,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_284
| ~ spl0_534 ),
inference(resolution,[],[f4250,f2686]) ).
fof(f4250,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1))
| c_in(X12,c_Inter(X32,X1),X1) )
| ~ spl0_534 ),
inference(avatar_component_clause,[],[f4249]) ).
fof(f4303,plain,
spl0_547,
inference(avatar_split_clause,[],[f1445,f4301]) ).
fof(f4301,plain,
( spl0_547
<=> ! [X54,X27,X12] :
( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f1445,axiom,
! [X54,X27,X12] :
( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__privateKey_0) ).
fof(f4299,plain,
spl0_546,
inference(avatar_split_clause,[],[f1405,f4297]) ).
fof(f4297,plain,
( spl0_546
<=> ! [X64,X65,X53] :
( c_in(X65,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f1405,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).
fof(f4295,plain,
spl0_545,
inference(avatar_split_clause,[],[f1404,f4293]) ).
fof(f4293,plain,
( spl0_545
<=> ! [X64,X65,X53] :
( c_in(X53,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1404,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
fof(f4291,plain,
spl0_544,
inference(avatar_split_clause,[],[f1357,f4289]) ).
fof(f4289,plain,
( spl0_544
<=> ! [X0,X3] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f1357,axiom,
! [X3,X0] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f4287,plain,
spl0_543,
inference(avatar_split_clause,[],[f1356,f4285]) ).
fof(f4285,plain,
( spl0_543
<=> ! [X0,X3] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f1356,axiom,
! [X3,X0] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f4283,plain,
( spl0_542
| ~ spl0_293
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f4215,f4164,f3030,f4281]) ).
fof(f4281,plain,
( spl0_542
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f3030,plain,
( spl0_293
<=> ! [X12,X1] : c_lessequals(c_emptyset,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f4164,plain,
( spl0_520
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f4215,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_293
| ~ spl0_520 ),
inference(resolution,[],[f4165,f3031]) ).
fof(f3031,plain,
( ! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1))
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f3030]) ).
fof(f4165,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13 )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f4164]) ).
fof(f4279,plain,
spl0_541,
inference(avatar_split_clause,[],[f1336,f4277]) ).
fof(f4277,plain,
( spl0_541
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1336,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f4275,plain,
spl0_540,
inference(avatar_split_clause,[],[f1284,f4273]) ).
fof(f4273,plain,
( spl0_540
<=> ! [X2,X41,X18,X27,X52,X1] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f1284,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f4271,plain,
spl0_539,
inference(avatar_split_clause,[],[f1283,f4269]) ).
fof(f4269,plain,
( spl0_539
<=> ! [X52,X41,X18,X27,X2,X1] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f1283,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f4267,plain,
spl0_538,
inference(avatar_split_clause,[],[f1178,f4265]) ).
fof(f4265,plain,
( spl0_538
<=> ! [X9,X7,X8,X10,X2,X1] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1178,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f4263,plain,
spl0_537,
inference(avatar_split_clause,[],[f1177,f4261]) ).
fof(f4261,plain,
( spl0_537
<=> ! [X7,X10,X8,X9,X2,X1] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1177,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f4259,plain,
spl0_536,
inference(avatar_split_clause,[],[f119,f4257]) ).
fof(f4257,plain,
( spl0_536
<=> ! [X5,X1,X28] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f119,axiom,
! [X28,X1,X5] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f4255,plain,
spl0_535,
inference(avatar_split_clause,[],[f99,f4253]) ).
fof(f99,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f4251,plain,
spl0_534,
inference(avatar_split_clause,[],[f96,f4249]) ).
fof(f96,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f4247,plain,
spl0_533,
inference(avatar_split_clause,[],[f59,f4245]) ).
fof(f4245,plain,
( spl0_533
<=> ! [X0,X12,X1,X26] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f59,axiom,
! [X0,X1,X26,X12] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f4243,plain,
spl0_532,
inference(avatar_split_clause,[],[f48,f4241]) ).
fof(f48,axiom,
! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f4235,plain,
spl0_531,
inference(avatar_split_clause,[],[f43,f4233]) ).
fof(f4233,plain,
( spl0_531
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f43,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f4231,plain,
spl0_530,
inference(avatar_split_clause,[],[f27,f4229]) ).
fof(f4229,plain,
( spl0_530
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f27,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f4212,plain,
( spl0_529
| ~ spl0_293
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f4201,f4156,f3030,f4210]) ).
fof(f4210,plain,
( spl0_529
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f4156,plain,
( spl0_518
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f4201,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_293
| ~ spl0_518 ),
inference(resolution,[],[f4157,f3031]) ).
fof(f4157,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13
| c_less(X12,X13,tc_set(X1)) )
| ~ spl0_518 ),
inference(avatar_component_clause,[],[f4156]) ).
fof(f4198,plain,
spl0_528,
inference(avatar_split_clause,[],[f1290,f4196]) ).
fof(f4196,plain,
( spl0_528
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f1290,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f4194,plain,
spl0_527,
inference(avatar_split_clause,[],[f1200,f4192]) ).
fof(f4192,plain,
( spl0_527
<=> ! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f1200,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f4190,plain,
spl0_526,
inference(avatar_split_clause,[],[f1199,f4188]) ).
fof(f4188,plain,
( spl0_526
<=> ! [X16,X21,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f1199,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f4186,plain,
( spl0_525
| ~ spl0_307
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f4076,f3881,f3087,f4184]) ).
fof(f4184,plain,
( spl0_525
<=> ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f3087,plain,
( spl0_307
<=> ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f3881,plain,
( spl0_473
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f4076,plain,
( ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 )
| ~ spl0_307
| ~ spl0_473 ),
inference(superposition,[],[f3882,f3088]) ).
fof(f3088,plain,
( ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3882,plain,
( ! [X1,X25,X23,X43] :
( c_append(X25,X23,X1) != c_append(X43,X23,X1)
| X25 = X43 )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f3881]) ).
fof(f4182,plain,
spl0_524,
inference(avatar_split_clause,[],[f1195,f4180]) ).
fof(f4180,plain,
( spl0_524
<=> ! [X20,X1,X19] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1195,axiom,
! [X1,X19,X20] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f4178,plain,
spl0_523,
inference(avatar_split_clause,[],[f1194,f4176]) ).
fof(f4176,plain,
( spl0_523
<=> ! [X20,X1,X19] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1194,axiom,
! [X1,X19,X20] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f4174,plain,
spl0_522,
inference(avatar_split_clause,[],[f1193,f4172]) ).
fof(f4172,plain,
( spl0_522
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1193,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f4170,plain,
spl0_521,
inference(avatar_split_clause,[],[f1192,f4168]) ).
fof(f4168,plain,
( spl0_521
<=> ! [X12,X1] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1192,axiom,
! [X1,X12] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f4166,plain,
spl0_520,
inference(avatar_split_clause,[],[f111,f4164]) ).
fof(f111,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4162,plain,
spl0_519,
inference(avatar_split_clause,[],[f108,f4160]) ).
fof(f4160,plain,
( spl0_519
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f108,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4158,plain,
spl0_518,
inference(avatar_split_clause,[],[f104,f4156]) ).
fof(f104,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f4154,plain,
spl0_517,
inference(avatar_split_clause,[],[f100,f4152]) ).
fof(f4152,plain,
( spl0_517
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f100,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f4150,plain,
spl0_516,
inference(avatar_split_clause,[],[f97,f4148]) ).
fof(f4148,plain,
( spl0_516
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f97,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f4146,plain,
spl0_515,
inference(avatar_split_clause,[],[f31,f4144]) ).
fof(f4144,plain,
( spl0_515
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f31,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f4142,plain,
( spl0_514
| ~ spl0_308
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f4046,f3853,f3091,f4140]) ).
fof(f4140,plain,
( spl0_514
<=> ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f3091,plain,
( spl0_308
<=> ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f3853,plain,
( spl0_466
<=> ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f4046,plain,
( ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat)
| ~ spl0_308
| ~ spl0_466 ),
inference(superposition,[],[f3854,f3092]) ).
fof(f3092,plain,
( ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1))
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f3854,plain,
( ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat)
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f3853]) ).
fof(f4138,plain,
spl0_513,
inference(avatar_split_clause,[],[f30,f4136]) ).
fof(f4136,plain,
( spl0_513
<=> ! [X20,X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f30,axiom,
! [X1,X19,X20] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f4134,plain,
spl0_512,
inference(avatar_split_clause,[],[f29,f4132]) ).
fof(f4132,plain,
( spl0_512
<=> ! [X12,X1,X18] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f29,axiom,
! [X1,X18,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f4112,plain,
( spl0_511
| ~ spl0_302
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f4053,f3857,f3067,f4110]) ).
fof(f4110,plain,
( spl0_511
<=> ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f3067,plain,
( spl0_302
<=> ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f4053,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_302
| ~ spl0_467 ),
inference(resolution,[],[f3858,f3068]) ).
fof(f3068,plain,
( ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg)
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f3067]) ).
fof(f4072,plain,
( spl0_510
| ~ spl0_66
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f4061,f3861,f1812,f4070]) ).
fof(f4070,plain,
( spl0_510
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f4061,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_66
| ~ spl0_468 ),
inference(resolution,[],[f3862,f1813]) ).
fof(f4043,plain,
spl0_509,
inference(avatar_split_clause,[],[f1446,f4041]) ).
fof(f4041,plain,
( spl0_509
<=> ! [X54,X12] :
( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1446,axiom,
! [X54,X12] :
( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f4039,plain,
spl0_508,
inference(avatar_split_clause,[],[f1443,f4037]) ).
fof(f4037,plain,
( spl0_508
<=> ! [X64,X65,X53] :
( c_in(X53,c_Event_Oused(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Event_Oused(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f1443,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Event_Oused(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Event_Oused(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).
fof(f4035,plain,
spl0_507,
inference(avatar_split_clause,[],[f1442,f4033]) ).
fof(f4033,plain,
( spl0_507
<=> ! [X64,X65,X53] :
( c_in(X65,c_Event_Oused(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Event_Oused(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1442,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Event_Oused(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Event_Oused(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).
fof(f4031,plain,
spl0_506,
inference(avatar_split_clause,[],[f1441,f4029]) ).
fof(f4029,plain,
( spl0_506
<=> ! [X63,X64,X53] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oparts(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1441,axiom,
! [X63,X53,X64] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f4027,plain,
spl0_505,
inference(avatar_split_clause,[],[f1401,f4025]) ).
fof(f4025,plain,
( spl0_505
<=> ! [X64,X65,X53] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f1401,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f4023,plain,
spl0_504,
inference(avatar_split_clause,[],[f1400,f4021]) ).
fof(f4021,plain,
( spl0_504
<=> ! [X64,X65,X53] :
( c_in(X65,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1400,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f4019,plain,
spl0_503,
inference(avatar_split_clause,[],[f1396,f4017]) ).
fof(f4017,plain,
( spl0_503
<=> ! [X64,X65,X53] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f1396,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f4015,plain,
spl0_502,
inference(avatar_split_clause,[],[f1395,f4013]) ).
fof(f1395,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f4011,plain,
spl0_501,
inference(avatar_split_clause,[],[f1369,f4009]) ).
fof(f4009,plain,
( spl0_501
<=> ! [X61,X57,X56,X59,X55,X62] :
( X57 = X59
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f1369,axiom,
! [X59,X56,X57,X55,X62,X61] :
( X57 = X59
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_2) ).
fof(f4007,plain,
spl0_500,
inference(avatar_split_clause,[],[f1368,f4005]) ).
fof(f4005,plain,
( spl0_500
<=> ! [X61,X57,X56,X59,X55,X62] :
( X56 = X62
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f1368,axiom,
! [X59,X56,X57,X55,X62,X61] :
( X56 = X62
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_1) ).
fof(f4003,plain,
spl0_499,
inference(avatar_split_clause,[],[f1367,f4001]) ).
fof(f4001,plain,
( spl0_499
<=> ! [X61,X55,X56,X59,X57,X62] :
( X55 = X61
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f1367,axiom,
! [X59,X56,X57,X55,X62,X61] :
( X55 = X61
| c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OSays(X61,X62,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_0) ).
fof(f3999,plain,
spl0_498,
inference(avatar_split_clause,[],[f1360,f3997]) ).
fof(f3997,plain,
( spl0_498
<=> ! [X54,X4] :
( c_in(X4,c_Event_Oused(X54),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f1360,axiom,
! [X54,X4] :
( c_in(X4,c_Event_Oused(X54),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f3995,plain,
spl0_497,
inference(avatar_split_clause,[],[f1346,f3993]) ).
fof(f3993,plain,
( spl0_497
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f1346,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3991,plain,
( spl0_496
| ~ spl0_439
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f3743,f3679,f3675,f3989]) ).
fof(f3989,plain,
( spl0_496
<=> ! [X2,X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f3675,plain,
( spl0_439
<=> ! [X4,X64] :
( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f3679,plain,
( spl0_440
<=> ! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f3743,plain,
( ! [X2,X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ spl0_439
| ~ spl0_440 ),
inference(resolution,[],[f3680,f3676]) ).
fof(f3676,plain,
( ! [X4,X64] :
( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f3680,plain,
( ! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f3679]) ).
fof(f3987,plain,
spl0_495,
inference(avatar_split_clause,[],[f1344,f3985]) ).
fof(f3985,plain,
( spl0_495
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f1344,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3983,plain,
spl0_494,
inference(avatar_split_clause,[],[f1338,f3981]) ).
fof(f3981,plain,
( spl0_494
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f1338,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f3979,plain,
spl0_493,
inference(avatar_split_clause,[],[f1324,f3977]) ).
fof(f3977,plain,
( spl0_493
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f1324,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3975,plain,
spl0_492,
inference(avatar_split_clause,[],[f1323,f3973]) ).
fof(f3973,plain,
( spl0_492
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f1323,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3971,plain,
spl0_491,
inference(avatar_split_clause,[],[f1317,f3969]) ).
fof(f3969,plain,
( spl0_491
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f1317,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3967,plain,
spl0_490,
inference(avatar_split_clause,[],[f1316,f3965]) ).
fof(f3965,plain,
( spl0_490
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f1316,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3963,plain,
spl0_489,
inference(avatar_split_clause,[],[f1313,f3961]) ).
fof(f3961,plain,
( spl0_489
<=> ! [X13,X12,X1] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1313,axiom,
! [X1,X12,X13] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3959,plain,
spl0_488,
inference(avatar_split_clause,[],[f1308,f3957]) ).
fof(f3957,plain,
( spl0_488
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1308,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3955,plain,
spl0_487,
inference(avatar_split_clause,[],[f1307,f3953]) ).
fof(f3953,plain,
( spl0_487
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f1307,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3951,plain,
spl0_486,
inference(avatar_split_clause,[],[f1306,f3949]) ).
fof(f3949,plain,
( spl0_486
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f1306,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3939,plain,
spl0_485,
inference(avatar_split_clause,[],[f1303,f3937]) ).
fof(f3937,plain,
( spl0_485
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f1303,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3935,plain,
spl0_484,
inference(avatar_split_clause,[],[f1302,f3933]) ).
fof(f3933,plain,
( spl0_484
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f1302,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3931,plain,
spl0_483,
inference(avatar_split_clause,[],[f1301,f3929]) ).
fof(f3929,plain,
( spl0_483
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f1301,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3927,plain,
spl0_482,
inference(avatar_split_clause,[],[f1298,f3925]) ).
fof(f3925,plain,
( spl0_482
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f1298,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3923,plain,
spl0_481,
inference(avatar_split_clause,[],[f1297,f3921]) ).
fof(f3921,plain,
( spl0_481
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f1297,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3919,plain,
spl0_480,
inference(avatar_split_clause,[],[f1296,f3917]) ).
fof(f3917,plain,
( spl0_480
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f1296,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3915,plain,
spl0_479,
inference(avatar_split_clause,[],[f1293,f3913]) ).
fof(f3913,plain,
( spl0_479
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f1293,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3911,plain,
spl0_478,
inference(avatar_split_clause,[],[f1292,f3909]) ).
fof(f3909,plain,
( spl0_478
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1292,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3907,plain,
spl0_477,
inference(avatar_split_clause,[],[f1291,f3905]) ).
fof(f3905,plain,
( spl0_477
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f1291,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3903,plain,
spl0_476,
inference(avatar_split_clause,[],[f1247,f3901]) ).
fof(f3901,plain,
( spl0_476
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f1247,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3891,plain,
spl0_475,
inference(avatar_split_clause,[],[f1241,f3889]) ).
fof(f3889,plain,
( spl0_475
<=> ! [X18,X41,X49,X48,X1] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f1241,axiom,
! [X41,X48,X49,X1,X18] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3887,plain,
spl0_474,
inference(avatar_split_clause,[],[f1240,f3885]) ).
fof(f3885,plain,
( spl0_474
<=> ! [X41,X18,X49,X48,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f1240,axiom,
! [X41,X48,X49,X18,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3883,plain,
spl0_473,
inference(avatar_split_clause,[],[f1225,f3881]) ).
fof(f1225,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3879,plain,
spl0_472,
inference(avatar_split_clause,[],[f1171,f3877]) ).
fof(f3877,plain,
( spl0_472
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f1171,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3875,plain,
spl0_471,
inference(avatar_split_clause,[],[f1169,f3873]) ).
fof(f3873,plain,
( spl0_471
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f1169,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3871,plain,
spl0_470,
inference(avatar_split_clause,[],[f1167,f3869]) ).
fof(f3869,plain,
( spl0_470
<=> ! [X2,X18,X27,X1] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1167,axiom,
! [X2,X18,X1,X27] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3867,plain,
spl0_469,
inference(avatar_split_clause,[],[f120,f3865]) ).
fof(f3865,plain,
( spl0_469
<=> ! [X18,X5,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f120,axiom,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3863,plain,
spl0_468,
inference(avatar_split_clause,[],[f110,f3861]) ).
fof(f110,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3859,plain,
spl0_467,
inference(avatar_split_clause,[],[f109,f3857]) ).
fof(f109,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3855,plain,
spl0_466,
inference(avatar_split_clause,[],[f49,f3853]) ).
fof(f49,axiom,
! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3847,plain,
spl0_465,
inference(avatar_split_clause,[],[f2,f3845]) ).
fof(f3845,plain,
( spl0_465
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3843,plain,
spl0_464,
inference(avatar_split_clause,[],[f1,f3841]) ).
fof(f3841,plain,
( spl0_464
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3829,plain,
( spl0_463
| ~ spl0_62
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f3806,f3722,f1796,f3826]) ).
fof(f3826,plain,
( spl0_463
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f1796,plain,
( spl0_62
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f3722,plain,
( spl0_444
<=> ! [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_444])]) ).
fof(f3806,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_62
| ~ spl0_444 ),
inference(resolution,[],[f3723,f1797]) ).
fof(f1797,plain,
( ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f3723,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f3722]) ).
fof(f3819,plain,
spl0_462,
inference(avatar_split_clause,[],[f1436,f3817]) ).
fof(f3817,plain,
( spl0_462
<=> ! [X64,X53] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f1436,axiom,
! [X53,X64] :
( c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__synthD__dest_0) ).
fof(f3815,plain,
spl0_461,
inference(avatar_split_clause,[],[f1432,f3813]) ).
fof(f3813,plain,
( spl0_461
<=> ! [X64,X53] :
( ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f1432,axiom,
! [X53,X64] :
( ~ c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OHash_0) ).
fof(f3805,plain,
spl0_460,
inference(avatar_split_clause,[],[f1429,f3803]) ).
fof(f3803,plain,
( spl0_460
<=> ! [X64,X53] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X64)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1429,axiom,
! [X53,X64] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__partsD__dest_0) ).
fof(f3801,plain,
spl0_459,
inference(avatar_split_clause,[],[f1416,f3799]) ).
fof(f3799,plain,
( spl0_459
<=> ! [X64,X53] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X64)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f1416,axiom,
! [X53,X64] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f3797,plain,
spl0_458,
inference(avatar_split_clause,[],[f1407,f3795]) ).
fof(f3795,plain,
( spl0_458
<=> ! [X64,X21] :
( c_in(c_Message_Omsg_ONonce(X21),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1407,axiom,
! [X21,X64] :
( c_in(c_Message_Omsg_ONonce(X21),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_ONonce__synth_0) ).
fof(f3793,plain,
spl0_457,
inference(avatar_split_clause,[],[f1394,f3791]) ).
fof(f3791,plain,
( spl0_457
<=> ! [X64,X63] :
( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X63),c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1394,axiom,
! [X63,X64] :
( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X63),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f3789,plain,
spl0_456,
inference(avatar_split_clause,[],[f1334,f3787]) ).
fof(f3787,plain,
( spl0_456
<=> ! [X18,X13,X27,X1] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1334,axiom,
! [X18,X1,X27,X13] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3785,plain,
spl0_455,
inference(avatar_split_clause,[],[f1327,f3783]) ).
fof(f3783,plain,
( spl0_455
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1327,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3781,plain,
spl0_454,
inference(avatar_split_clause,[],[f1326,f3779]) ).
fof(f3779,plain,
( spl0_454
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1326,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3777,plain,
spl0_453,
inference(avatar_split_clause,[],[f1320,f3775]) ).
fof(f3775,plain,
( spl0_453
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1320,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3773,plain,
spl0_452,
inference(avatar_split_clause,[],[f1319,f3771]) ).
fof(f3771,plain,
( spl0_452
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1319,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3769,plain,
spl0_451,
inference(avatar_split_clause,[],[f1312,f3767]) ).
fof(f3767,plain,
( spl0_451
<=> ! [X12,X1,X4] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f1312,axiom,
! [X1,X4,X12] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3765,plain,
( spl0_450
| ~ spl0_320
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f3709,f3595,f3140,f3763]) ).
fof(f3763,plain,
( spl0_450
<=> ! [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_450])]) ).
fof(f3140,plain,
( spl0_320
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f3595,plain,
( spl0_419
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f3709,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_320
| ~ spl0_419 ),
inference(resolution,[],[f3596,f3141]) ).
fof(f3141,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f3596,plain,
( ! [X11,X42] :
( ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f3595]) ).
fof(f3761,plain,
spl0_449,
inference(avatar_split_clause,[],[f1311,f3759]) ).
fof(f3759,plain,
( spl0_449
<=> ! [X12,X1,X4] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1311,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3757,plain,
spl0_448,
inference(avatar_split_clause,[],[f1265,f3755]) ).
fof(f3755,plain,
( spl0_448
<=> ! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1265,axiom,
! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3753,plain,
spl0_447,
inference(avatar_split_clause,[],[f1264,f3751]) ).
fof(f3751,plain,
( spl0_447
<=> ! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1264,axiom,
! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3749,plain,
spl0_446,
inference(avatar_split_clause,[],[f1160,f3747]) ).
fof(f3747,plain,
( spl0_446
<=> ! [X0,X1,X40] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1160,axiom,
! [X40,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3740,plain,
( spl0_445
| ~ spl0_319
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f3708,f3595,f3136,f3738]) ).
fof(f3738,plain,
( spl0_445
<=> ! [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_445])]) ).
fof(f3136,plain,
( spl0_319
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f3708,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_319
| ~ spl0_419 ),
inference(resolution,[],[f3596,f3137]) ).
fof(f3137,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f3136]) ).
fof(f3724,plain,
( spl0_444
| ~ spl0_326
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f3705,f3591,f3164,f3722]) ).
fof(f3164,plain,
( spl0_326
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f3591,plain,
( spl0_418
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f3705,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_326
| ~ spl0_418 ),
inference(resolution,[],[f3592,f3165]) ).
fof(f3165,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint)
| c_0 = X15 )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f3164]) ).
fof(f3592,plain,
( ! [X11,X42] :
( c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f3591]) ).
fof(f3693,plain,
spl0_443,
inference(avatar_split_clause,[],[f1484,f3691]) ).
fof(f3691,plain,
( spl0_443
<=> ! [X66,X53,X65,X63] : c_Message_Omsg_OCrypt(X63,X66) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1484,plain,
! [X65,X63,X53,X66] : c_Message_Omsg_OCrypt(X63,X66) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1388,f1399]) ).
fof(f1388,axiom,
! [X65,X63,X53,X66] : c_Message_OHPair(X53,X65) != c_Message_Omsg_OCrypt(X63,X66),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_ACrypt_AK_AX_H_A_61_61_62_AR_0) ).
fof(f3689,plain,
spl0_442,
inference(avatar_split_clause,[],[f1459,f3687]) ).
fof(f3687,plain,
( spl0_442
<=> ! [X12,X27,X76,X4] :
( X12 = X76
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1459,axiom,
! [X76,X27,X4,X12] :
( X12 = X76
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpublicKey__inject__iff1_1) ).
fof(f3685,plain,
spl0_441,
inference(avatar_split_clause,[],[f1458,f3683]) ).
fof(f3683,plain,
( spl0_441
<=> ! [X4,X12,X27,X76] :
( X4 = X27
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1458,axiom,
! [X76,X27,X4,X12] :
( X4 = X27
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpublicKey__inject__iff1_0) ).
fof(f3681,plain,
spl0_440,
inference(avatar_split_clause,[],[f1447,f3679]) ).
fof(f1447,axiom,
! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__spies__pubK_0) ).
fof(f3677,plain,
spl0_439,
inference(avatar_split_clause,[],[f1440,f3675]) ).
fof(f1440,axiom,
! [X4,X64] :
( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f3673,plain,
spl0_438,
inference(avatar_split_clause,[],[f1426,f3671]) ).
fof(f3671,plain,
( spl0_438
<=> ! [X70,X57,X69,X59] :
( X57 = X59
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f1426,axiom,
! [X70,X59,X57,X69] :
( X57 = X59
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_1) ).
fof(f3669,plain,
spl0_437,
inference(avatar_split_clause,[],[f1425,f3667]) ).
fof(f3667,plain,
( spl0_437
<=> ! [X69,X59,X57,X70] :
( X69 = X70
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f1425,axiom,
! [X70,X59,X57,X69] :
( X69 = X70
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_0) ).
fof(f3665,plain,
spl0_436,
inference(avatar_split_clause,[],[f1424,f3663]) ).
fof(f3663,plain,
( spl0_436
<=> ! [X73,X72,X71,X74] :
( X72 = X74
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f1424,axiom,
! [X72,X73,X71,X74] :
( X72 = X74
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_1) ).
fof(f3661,plain,
spl0_435,
inference(avatar_split_clause,[],[f1423,f3659]) ).
fof(f3659,plain,
( spl0_435
<=> ! [X74,X71,X73,X72] :
( X71 = X73
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f1423,axiom,
! [X72,X73,X71,X74] :
( X71 = X73
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_0) ).
fof(f3657,plain,
spl0_434,
inference(avatar_split_clause,[],[f1373,f3655]) ).
fof(f3655,plain,
( spl0_434
<=> ! [X60,X57,X59,X58] :
( X57 = X59
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f1373,axiom,
! [X58,X59,X57,X60] :
( X57 = X59
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__3__iff1_1) ).
fof(f3653,plain,
spl0_433,
inference(avatar_split_clause,[],[f1372,f3651]) ).
fof(f3651,plain,
( spl0_433
<=> ! [X59,X57,X58,X60] :
( X58 = X60
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f1372,axiom,
! [X58,X59,X57,X60] :
( X58 = X60
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__3__iff1_0) ).
fof(f3649,plain,
spl0_432,
inference(avatar_split_clause,[],[f1371,f3647]) ).
fof(f3647,plain,
( spl0_432
<=> ! [X60,X57,X59,X58] :
( X57 = X59
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1371,axiom,
! [X58,X59,X57,X60] :
( X57 = X59
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__2__iff1_1) ).
fof(f3645,plain,
spl0_431,
inference(avatar_split_clause,[],[f1370,f3643]) ).
fof(f3643,plain,
( spl0_431
<=> ! [X59,X57,X58,X60] :
( X58 = X60
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f1370,axiom,
! [X58,X59,X57,X60] :
( X58 = X60
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__2__iff1_0) ).
fof(f3641,plain,
spl0_430,
inference(avatar_split_clause,[],[f1285,f3639]) ).
fof(f1285,axiom,
! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3637,plain,
spl0_429,
inference(avatar_split_clause,[],[f1260,f3635]) ).
fof(f3635,plain,
( spl0_429
<=> ! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f1260,axiom,
! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3633,plain,
spl0_428,
inference(avatar_split_clause,[],[f1259,f3631]) ).
fof(f3631,plain,
( spl0_428
<=> ! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1259,axiom,
! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3629,plain,
spl0_427,
inference(avatar_split_clause,[],[f1258,f3627]) ).
fof(f3627,plain,
( spl0_427
<=> ! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f1258,axiom,
! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3625,plain,
spl0_426,
inference(avatar_split_clause,[],[f1257,f3623]) ).
fof(f3623,plain,
( spl0_426
<=> ! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1257,axiom,
! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3621,plain,
spl0_425,
inference(avatar_split_clause,[],[f1246,f3619]) ).
fof(f3619,plain,
( spl0_425
<=> ! [X25,X1,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f1246,axiom,
! [X1,X25,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3617,plain,
spl0_424,
inference(avatar_split_clause,[],[f1235,f3615]) ).
fof(f3615,plain,
( spl0_424
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f1235,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3613,plain,
spl0_423,
inference(avatar_split_clause,[],[f1231,f3611]) ).
fof(f3611,plain,
( spl0_423
<=> ! [X45,X44,X46,X47] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f1231,axiom,
! [X46,X47,X44,X45] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3609,plain,
spl0_422,
inference(avatar_split_clause,[],[f1230,f3607]) ).
fof(f3607,plain,
( spl0_422
<=> ! [X44,X47,X46,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f1230,axiom,
! [X46,X47,X44,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3605,plain,
spl0_421,
inference(avatar_split_clause,[],[f1209,f3603]) ).
fof(f3603,plain,
( spl0_421
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f1209,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3601,plain,
( spl0_420
| ~ spl0_334
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f3542,f3478,f3196,f3599]) ).
fof(f3599,plain,
( spl0_420
<=> ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_OinitState(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f3196,plain,
( spl0_334
<=> ! [X13,X7] : ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oparts(c_Event_OinitState(X13)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f3478,plain,
( spl0_395
<=> ! [X64,X53] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f3542,plain,
( ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_OinitState(X1),tc_Message_Omsg)
| ~ spl0_334
| ~ spl0_395 ),
inference(resolution,[],[f3479,f3197]) ).
fof(f3197,plain,
( ! [X7,X13] : ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oparts(c_Event_OinitState(X13)),tc_Message_Omsg)
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f3479,plain,
( ! [X53,X64] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X53,X64,tc_Message_Omsg) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f3478]) ).
fof(f3597,plain,
spl0_419,
inference(avatar_split_clause,[],[f1208,f3595]) ).
fof(f1208,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3593,plain,
spl0_418,
inference(avatar_split_clause,[],[f1205,f3591]) ).
fof(f1205,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3589,plain,
spl0_417,
inference(avatar_split_clause,[],[f1204,f3587]) ).
fof(f3587,plain,
( spl0_417
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f1204,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3585,plain,
spl0_416,
inference(avatar_split_clause,[],[f1179,f3583]) ).
fof(f3583,plain,
( spl0_416
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f1179,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).
fof(f3581,plain,
spl0_415,
inference(avatar_split_clause,[],[f1176,f3579]) ).
fof(f3579,plain,
( spl0_415
<=> ! [X9,X7,X16,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f1176,axiom,
! [X2,X1,X9,X7,X16] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
fof(f3577,plain,
spl0_414,
inference(avatar_split_clause,[],[f1174,f3575]) ).
fof(f3575,plain,
( spl0_414
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f1174,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f3573,plain,
spl0_413,
inference(avatar_split_clause,[],[f1166,f3571]) ).
fof(f3571,plain,
( spl0_413
<=> ! [X41,X1,X18] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f1166,axiom,
! [X41,X18,X1] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3569,plain,
spl0_412,
inference(avatar_split_clause,[],[f1163,f3567]) ).
fof(f3567,plain,
( spl0_412
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f1163,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3565,plain,
spl0_411,
inference(avatar_split_clause,[],[f1162,f3563]) ).
fof(f3563,plain,
( spl0_411
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1162,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3561,plain,
spl0_410,
inference(avatar_split_clause,[],[f105,f3559]) ).
fof(f3559,plain,
( spl0_410
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f105,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3557,plain,
spl0_409,
inference(avatar_split_clause,[],[f103,f3555]) ).
fof(f3555,plain,
( spl0_409
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f103,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3553,plain,
spl0_408,
inference(avatar_split_clause,[],[f102,f3551]) ).
fof(f3551,plain,
( spl0_408
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f102,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3547,plain,
( ~ spl0_407
| spl0_2
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f3540,f3474,f1500,f3544]) ).
fof(f3544,plain,
( spl0_407
<=> c_in(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f3474,plain,
( spl0_394
<=> ! [X64,X53] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f3540,plain,
( ~ c_in(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)
| spl0_2
| ~ spl0_394 ),
inference(resolution,[],[f3475,f1502]) ).
fof(f1502,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f3475,plain,
( ! [X53,X64] :
( c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(X53,X64,tc_Message_Omsg) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3524,plain,
spl0_406,
inference(avatar_split_clause,[],[f1482,f3522]) ).
fof(f3522,plain,
( spl0_406
<=> ! [X53,X65,X68] : c_Message_Omsg_OHash(X68) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1482,plain,
! [X65,X68,X53] : c_Message_Omsg_OHash(X68) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1385,f1399]) ).
fof(f1385,axiom,
! [X65,X68,X53] : c_Message_OHPair(X53,X65) != c_Message_Omsg_OHash(X68),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__5__iff1_0) ).
fof(f3520,plain,
spl0_405,
inference(avatar_split_clause,[],[f1480,f3518]) ).
fof(f3518,plain,
( spl0_405
<=> ! [X53,X65,X7] : c_Message_Omsg_ONonce(X7) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1480,plain,
! [X65,X7,X53] : c_Message_Omsg_ONonce(X7) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1382,f1399]) ).
fof(f1382,axiom,
! [X65,X7,X53] : c_Message_OHPair(X53,X65) != c_Message_Omsg_ONonce(X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__2__iff1_0) ).
fof(f3516,plain,
spl0_404,
inference(avatar_split_clause,[],[f1478,f3514]) ).
fof(f3514,plain,
( spl0_404
<=> ! [X53,X65,X7] : c_Message_Omsg_ONumber(X7) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1478,plain,
! [X65,X7,X53] : c_Message_Omsg_ONumber(X7) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1383,f1399]) ).
fof(f1383,axiom,
! [X65,X7,X53] : c_Message_OHPair(X53,X65) != c_Message_Omsg_ONumber(X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__3__iff1_0) ).
fof(f3512,plain,
spl0_403,
inference(avatar_split_clause,[],[f1476,f3510]) ).
fof(f3510,plain,
( spl0_403
<=> ! [X12,X53,X65] : c_Message_Omsg_OAgent(X12) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1476,plain,
! [X65,X53,X12] : c_Message_Omsg_OAgent(X12) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1387,f1399]) ).
fof(f1387,axiom,
! [X65,X53,X12] : c_Message_OHPair(X53,X65) != c_Message_Omsg_OAgent(X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0) ).
fof(f3508,plain,
spl0_402,
inference(avatar_split_clause,[],[f1474,f3506]) ).
fof(f3506,plain,
( spl0_402
<=> ! [X53,X65,X63] : c_Message_Omsg_OKey(X63) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1474,plain,
! [X65,X63,X53] : c_Message_Omsg_OKey(X63) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X53,X65)),X65),
inference(definition_unfolding,[],[f1384,f1399]) ).
fof(f1384,axiom,
! [X65,X63,X53] : c_Message_Omsg_OKey(X63) != c_Message_OHPair(X53,X65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__4__iff1_0) ).
fof(f3504,plain,
spl0_401,
inference(avatar_split_clause,[],[f1469,f3502]) ).
fof(f3502,plain,
( spl0_401
<=> ! [X63] :
( ~ c_in(X63,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1469,axiom,
! [X63] :
( ~ c_in(X63,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OsymKeys__invKey__iff__iff2_0) ).
fof(f3500,plain,
spl0_400,
inference(avatar_split_clause,[],[f1468,f3498]) ).
fof(f3498,plain,
( spl0_400
<=> ! [X63] :
( c_in(X63,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1468,axiom,
! [X63] :
( c_in(X63,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OsymKeys__invKey__iff__iff1_0) ).
fof(f3496,plain,
spl0_399,
inference(avatar_split_clause,[],[f1467,f3494]) ).
fof(f3494,plain,
( spl0_399
<=> ! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1467,axiom,
! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X54),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Ospies__pubK_0) ).
fof(f3492,plain,
spl0_398,
inference(avatar_split_clause,[],[f1455,f3490]) ).
fof(f3490,plain,
( spl0_398
<=> ! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oused(X54),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1455,axiom,
! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oused(X54),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OprivateKey__into__used_0) ).
fof(f3488,plain,
spl0_397,
inference(avatar_split_clause,[],[f1452,f3486]) ).
fof(f3486,plain,
( spl0_397
<=> ! [X27,X12] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_OinitState(X12),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1452,axiom,
! [X27,X12] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_OinitState(X12),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpriK__in__initState_0) ).
fof(f3484,plain,
spl0_396,
inference(avatar_split_clause,[],[f1433,f3482]) ).
fof(f3482,plain,
( spl0_396
<=> ! [X64,X53] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1433,axiom,
! [X53,X64] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f3480,plain,
spl0_395,
inference(avatar_split_clause,[],[f1427,f3478]) ).
fof(f1427,axiom,
! [X53,X64] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3476,plain,
spl0_394,
inference(avatar_split_clause,[],[f1415,f3474]) ).
fof(f1415,axiom,
! [X53,X64] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3472,plain,
spl0_393,
inference(avatar_split_clause,[],[f1349,f3470]) ).
fof(f3470,plain,
( spl0_393
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1349,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3468,plain,
spl0_392,
inference(avatar_split_clause,[],[f1348,f3466]) ).
fof(f3466,plain,
( spl0_392
<=> ! [X5,X1] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1348,axiom,
! [X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3464,plain,
spl0_391,
inference(avatar_split_clause,[],[f1345,f3462]) ).
fof(f3462,plain,
( spl0_391
<=> ! [X2,X27,X1,X18] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f1345,axiom,
! [X2,X18,X1,X27] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f3460,plain,
spl0_390,
inference(avatar_split_clause,[],[f1330,f3458]) ).
fof(f3458,plain,
( spl0_390
<=> ! [X13,X12,X1] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f1330,axiom,
! [X1,X12,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3456,plain,
spl0_389,
inference(avatar_split_clause,[],[f1329,f3454]) ).
fof(f3454,plain,
( spl0_389
<=> ! [X13,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f1329,axiom,
! [X1,X12,X13] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3452,plain,
spl0_388,
inference(avatar_split_clause,[],[f1267,f3450]) ).
fof(f3450,plain,
( spl0_388
<=> ! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f1267,axiom,
! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3448,plain,
spl0_387,
inference(avatar_split_clause,[],[f1266,f3446]) ).
fof(f3446,plain,
( spl0_387
<=> ! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f1266,axiom,
! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3444,plain,
spl0_386,
inference(avatar_split_clause,[],[f1248,f3442]) ).
fof(f3442,plain,
( spl0_386
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f1248,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3440,plain,
spl0_385,
inference(avatar_split_clause,[],[f1232,f3438]) ).
fof(f3438,plain,
( spl0_385
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f1232,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3436,plain,
spl0_384,
inference(avatar_split_clause,[],[f1228,f3434]) ).
fof(f3434,plain,
( spl0_384
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f1228,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff1_0) ).
fof(f3432,plain,
spl0_383,
inference(avatar_split_clause,[],[f1223,f3430]) ).
fof(f3430,plain,
( spl0_383
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1223,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(f3428,plain,
spl0_382,
inference(avatar_split_clause,[],[f1222,f3426]) ).
fof(f3426,plain,
( spl0_382
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1222,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_0) ).
fof(f3424,plain,
spl0_381,
inference(avatar_split_clause,[],[f1184,f3422]) ).
fof(f3422,plain,
( spl0_381
<=> ! [X5,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f1184,axiom,
! [X1,X5,X12] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3420,plain,
spl0_380,
inference(avatar_split_clause,[],[f1175,f3418]) ).
fof(f3418,plain,
( spl0_380
<=> ! [X2,X16,X1,X18] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f1175,axiom,
! [X2,X18,X1,X16] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3416,plain,
spl0_379,
inference(avatar_split_clause,[],[f1172,f3414]) ).
fof(f3414,plain,
( spl0_379
<=> ! [X2,X1,X7,X9] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f1172,axiom,
! [X2,X1,X9,X7] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3412,plain,
spl0_378,
inference(avatar_split_clause,[],[f63,f3410]) ).
fof(f3410,plain,
( spl0_378
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f63,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3406,plain,
spl0_377,
inference(avatar_split_clause,[],[f62,f3404]) ).
fof(f3404,plain,
( spl0_377
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f62,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3402,plain,
spl0_376,
inference(avatar_split_clause,[],[f38,f3400]) ).
fof(f3400,plain,
( spl0_376
<=> ! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f38,axiom,
! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3398,plain,
spl0_375,
inference(avatar_split_clause,[],[f35,f3396]) ).
fof(f3396,plain,
( spl0_375
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f35,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3394,plain,
spl0_374,
inference(avatar_split_clause,[],[f34,f3392]) ).
fof(f3392,plain,
( spl0_374
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f34,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3370,plain,
spl0_373,
inference(avatar_split_clause,[],[f1466,f3368]) ).
fof(f3368,plain,
( spl0_373
<=> ! [X0,X3] :
( X0 = X3
| c_Public_OshrK(X0) != c_Public_OshrK(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f1466,axiom,
! [X3,X0] :
( X0 = X3
| c_Public_OshrK(X0) != c_Public_OshrK(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__injective__iff1_0) ).
fof(f3366,plain,
spl0_372,
inference(avatar_split_clause,[],[f1464,f3364]) ).
fof(f3364,plain,
( spl0_372
<=> ! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(X12,X54),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f1464,axiom,
! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(X12,X54),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__knows_0) ).
fof(f3362,plain,
spl0_371,
inference(avatar_split_clause,[],[f1461,f3360]) ).
fof(f3360,plain,
( spl0_371
<=> ! [X4,X27,X76,X12] : c_Message_OinvKey(c_Public_OpublicKey(X27,X12)) != c_Public_OpublicKey(X4,X76) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1461,axiom,
! [X76,X27,X4,X12] : c_Message_OinvKey(c_Public_OpublicKey(X27,X12)) != c_Public_OpublicKey(X4,X76),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpublicKey__neq__privateKey__iff1_0) ).
fof(f3358,plain,
spl0_370,
inference(avatar_split_clause,[],[f1460,f3356]) ).
fof(f3356,plain,
( spl0_370
<=> ! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_Oused(X54),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f1460,axiom,
! [X54,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_Oused(X54),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpublicKey__into__used_0) ).
fof(f3354,plain,
spl0_369,
inference(avatar_split_clause,[],[f1457,f3352]) ).
fof(f3352,plain,
( spl0_369
<=> ! [X13,X27,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_OinitState(X13),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f1457,axiom,
! [X27,X12,X13] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_OinitState(X13),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpublicKey__in__initState_0) ).
fof(f3350,plain,
( spl0_368
| ~ spl0_320
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f3221,f3164,f3140,f3348]) ).
fof(f3348,plain,
( spl0_368
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f3221,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_320
| ~ spl0_326 ),
inference(resolution,[],[f3165,f3141]) ).
fof(f3346,plain,
spl0_367,
inference(avatar_split_clause,[],[f1422,f3344]) ).
fof(f3344,plain,
( spl0_367
<=> ! [X57,X59] :
( X57 = X59
| c_Message_Omsg_OHash(X57) != c_Message_Omsg_OHash(X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f1422,axiom,
! [X59,X57] :
( X57 = X59
| c_Message_Omsg_OHash(X57) != c_Message_Omsg_OHash(X59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__5__iff1_0) ).
fof(f3342,plain,
spl0_366,
inference(avatar_split_clause,[],[f1421,f3340]) ).
fof(f3340,plain,
( spl0_366
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_OKey(X70) != c_Message_Omsg_OKey(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1421,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_OKey(X70) != c_Message_Omsg_OKey(X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__4__iff1_0) ).
fof(f3338,plain,
spl0_365,
inference(avatar_split_clause,[],[f1420,f3336]) ).
fof(f3336,plain,
( spl0_365
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONonce(X70) != c_Message_Omsg_ONonce(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f1420,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONonce(X70) != c_Message_Omsg_ONonce(X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__3__iff1_0) ).
fof(f3334,plain,
spl0_364,
inference(avatar_split_clause,[],[f1419,f3332]) ).
fof(f3332,plain,
( spl0_364
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONumber(X70) != c_Message_Omsg_ONumber(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f1419,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONumber(X70) != c_Message_Omsg_ONumber(X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__2__iff1_0) ).
fof(f3330,plain,
spl0_363,
inference(avatar_split_clause,[],[f1418,f3328]) ).
fof(f3328,plain,
( spl0_363
<=> ! [X60,X58] :
( X58 = X60
| c_Message_Omsg_OAgent(X60) != c_Message_Omsg_OAgent(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f1418,axiom,
! [X58,X60] :
( X58 = X60
| c_Message_Omsg_OAgent(X60) != c_Message_Omsg_OAgent(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__1__iff1_0) ).
fof(f3326,plain,
spl0_362,
inference(avatar_split_clause,[],[f1414,f3324]) ).
fof(f3324,plain,
( spl0_362
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Oagent_OFriend(X69) != c_Message_Oagent_OFriend(X70) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1414,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Oagent_OFriend(X69) != c_Message_Oagent_OFriend(X70) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Oinject__iff1_0) ).
fof(f3322,plain,
spl0_361,
inference(avatar_split_clause,[],[f1364,f3320]) ).
fof(f3320,plain,
( spl0_361
<=> ! [X55,X59,X57,X56,X58] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_ONotes(X58,X59) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f1364,axiom,
! [X58,X59,X56,X57,X55] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_ONotes(X58,X59),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__4__iff1_0) ).
fof(f3318,plain,
spl0_360,
inference(avatar_split_clause,[],[f1362,f3316]) ).
fof(f3316,plain,
( spl0_360
<=> ! [X55,X59,X57,X56,X58] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OGets(X58,X59) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f1362,axiom,
! [X58,X59,X56,X57,X55] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OGets(X58,X59),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__2__iff1_0) ).
fof(f3314,plain,
spl0_359,
inference(avatar_split_clause,[],[f1271,f3312]) ).
fof(f3312,plain,
( spl0_359
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f1271,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3310,plain,
spl0_358,
inference(avatar_split_clause,[],[f1256,f3308]) ).
fof(f3308,plain,
( spl0_358
<=> ! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f1256,axiom,
! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3306,plain,
( spl0_357
| ~ spl0_319
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f3220,f3164,f3136,f3304]) ).
fof(f3304,plain,
( spl0_357
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f3220,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_319
| ~ spl0_326 ),
inference(resolution,[],[f3165,f3137]) ).
fof(f3302,plain,
spl0_356,
inference(avatar_split_clause,[],[f1252,f3300]) ).
fof(f3300,plain,
( spl0_356
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f1252,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff1_0) ).
fof(f3298,plain,
spl0_355,
inference(avatar_split_clause,[],[f1214,f3296]) ).
fof(f3296,plain,
( spl0_355
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f1214,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f3294,plain,
spl0_354,
inference(avatar_split_clause,[],[f1203,f3292]) ).
fof(f3292,plain,
( spl0_354
<=> ! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f1203,axiom,
! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3290,plain,
spl0_353,
inference(avatar_split_clause,[],[f1161,f3288]) ).
fof(f3288,plain,
( spl0_353
<=> ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f1161,axiom,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3286,plain,
spl0_352,
inference(avatar_split_clause,[],[f252,f3284]) ).
fof(f3284,plain,
( spl0_352
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f252,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3282,plain,
spl0_351,
inference(avatar_split_clause,[],[f246,f3280]) ).
fof(f3280,plain,
( spl0_351
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f246,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3278,plain,
spl0_350,
inference(avatar_split_clause,[],[f196,f3276]) ).
fof(f3276,plain,
( spl0_350
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f196,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3274,plain,
spl0_349,
inference(avatar_split_clause,[],[f94,f3272]) ).
fof(f3272,plain,
( spl0_349
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f94,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3270,plain,
spl0_348,
inference(avatar_split_clause,[],[f93,f3268]) ).
fof(f3268,plain,
( spl0_348
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f93,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3266,plain,
spl0_347,
inference(avatar_split_clause,[],[f92,f3264]) ).
fof(f3264,plain,
( spl0_347
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f92,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3262,plain,
( spl0_346
| ~ spl0_318
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f3218,f3160,f3132,f3260]) ).
fof(f3260,plain,
( spl0_346
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f3132,plain,
( spl0_318
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f3160,plain,
( spl0_325
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f3218,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_318
| ~ spl0_325 ),
inference(resolution,[],[f3161,f3133]) ).
fof(f3133,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat)
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f3161,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_nat)
| c_0 = X15 )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3258,plain,
spl0_345,
inference(avatar_split_clause,[],[f91,f3256]) ).
fof(f3256,plain,
( spl0_345
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f91,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3254,plain,
spl0_344,
inference(avatar_split_clause,[],[f89,f3252]) ).
fof(f3252,plain,
( spl0_344
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f89,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3250,plain,
spl0_343,
inference(avatar_split_clause,[],[f88,f3248]) ).
fof(f3248,plain,
( spl0_343
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f88,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3246,plain,
spl0_342,
inference(avatar_split_clause,[],[f87,f3244]) ).
fof(f3244,plain,
( spl0_342
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f87,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3242,plain,
spl0_341,
inference(avatar_split_clause,[],[f86,f3240]) ).
fof(f3240,plain,
( spl0_341
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f86,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3238,plain,
spl0_340,
inference(avatar_split_clause,[],[f37,f3236]) ).
fof(f3236,plain,
( spl0_340
<=> ! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f37,axiom,
! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3234,plain,
( spl0_339
| ~ spl0_317
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f3217,f3160,f3128,f3232]) ).
fof(f3232,plain,
( spl0_339
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f3128,plain,
( spl0_317
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f3217,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_317
| ~ spl0_325 ),
inference(resolution,[],[f3161,f3129]) ).
fof(f3129,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat)
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f3214,plain,
spl0_338,
inference(avatar_split_clause,[],[f1465,f3212]) ).
fof(f3212,plain,
( spl0_338
<=> ! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oused(X54),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f1465,axiom,
! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oused(X54),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f3210,plain,
spl0_337,
inference(avatar_split_clause,[],[f1463,f3208]) ).
fof(f3208,plain,
( spl0_337
<=> ! [X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_OinitState(X12),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f1463,axiom,
! [X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_OinitState(X12),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_0) ).
fof(f3206,plain,
spl0_336,
inference(avatar_split_clause,[],[f1453,f3204]) ).
fof(f3204,plain,
( spl0_336
<=> ! [X12,X32,X27] : c_Public_OshrK(X12) != c_Message_OinvKey(c_Public_OpublicKey(X27,X32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f1453,axiom,
! [X27,X12,X32] : c_Public_OshrK(X12) != c_Message_OinvKey(c_Public_OpublicKey(X27,X32)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpriK__neq__shrK__iff1_0) ).
fof(f3202,plain,
spl0_335,
inference(avatar_split_clause,[],[f1450,f3200]) ).
fof(f3200,plain,
( spl0_335
<=> ! [X27,X12] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X27,X12)),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f1450,axiom,
! [X27,X12] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X27,X12)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__priK__iff1_0) ).
fof(f3198,plain,
spl0_334,
inference(avatar_split_clause,[],[f1444,f3196]) ).
fof(f1444,axiom,
! [X7,X13] : ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oparts(c_Event_OinitState(X13)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState__iff1_0) ).
fof(f3194,plain,
spl0_333,
inference(avatar_split_clause,[],[f1365,f3192]) ).
fof(f3192,plain,
( spl0_333
<=> ! [X57,X60,X58,X59] : c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f1365,axiom,
! [X58,X59,X57,X60] : c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_OGets(X60,X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__5__iff1_0) ).
fof(f3190,plain,
spl0_332,
inference(avatar_split_clause,[],[f1335,f3188]) ).
fof(f3188,plain,
( spl0_332
<=> ! [X13,X0,X1] : c_in(X0,c_insert(X0,X13,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f1335,axiom,
! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3186,plain,
spl0_331,
inference(avatar_split_clause,[],[f1278,f3184]) ).
fof(f3184,plain,
( spl0_331
<=> ! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f1278,axiom,
! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f3182,plain,
spl0_330,
inference(avatar_split_clause,[],[f1277,f3180]) ).
fof(f3180,plain,
( spl0_330
<=> ! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f1277,axiom,
! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f3178,plain,
spl0_329,
inference(avatar_split_clause,[],[f1275,f3176]) ).
fof(f3176,plain,
( spl0_329
<=> ! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f1275,axiom,
! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f3174,plain,
spl0_328,
inference(avatar_split_clause,[],[f1273,f3172]) ).
fof(f3172,plain,
( spl0_328
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f1273,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f3170,plain,
spl0_327,
inference(avatar_split_clause,[],[f1269,f3168]) ).
fof(f3168,plain,
( spl0_327
<=> ! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f1269,axiom,
! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f3166,plain,
spl0_326,
inference(avatar_split_clause,[],[f1206,f3164]) ).
fof(f1206,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f3162,plain,
spl0_325,
inference(avatar_split_clause,[],[f1182,f3160]) ).
fof(f1182,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f3158,plain,
spl0_324,
inference(avatar_split_clause,[],[f95,f3156]) ).
fof(f3156,plain,
( spl0_324
<=> ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f95,axiom,
! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3154,plain,
spl0_323,
inference(avatar_split_clause,[],[f90,f3152]) ).
fof(f3152,plain,
( spl0_323
<=> ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f90,axiom,
! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3150,plain,
spl0_322,
inference(avatar_split_clause,[],[f61,f3148]) ).
fof(f3148,plain,
( spl0_322
<=> ! [X12,X1] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f61,axiom,
! [X1,X12] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3146,plain,
spl0_321,
inference(avatar_split_clause,[],[f45,f3144]) ).
fof(f3144,plain,
( spl0_321
<=> ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f45,axiom,
! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3142,plain,
spl0_320,
inference(avatar_split_clause,[],[f42,f3140]) ).
fof(f42,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3138,plain,
spl0_319,
inference(avatar_split_clause,[],[f41,f3136]) ).
fof(f41,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3134,plain,
spl0_318,
inference(avatar_split_clause,[],[f26,f3132]) ).
fof(f26,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3130,plain,
spl0_317,
inference(avatar_split_clause,[],[f25,f3128]) ).
fof(f25,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f3126,plain,
spl0_316,
inference(avatar_split_clause,[],[f1456,f3124]) ).
fof(f3124,plain,
( spl0_316
<=> ! [X12,X32,X27] : c_Public_OshrK(X12) != c_Public_OpublicKey(X27,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f1456,axiom,
! [X27,X12,X32] : c_Public_OshrK(X12) != c_Public_OpublicKey(X27,X32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OpubK__neq__shrK__iff1_0) ).
fof(f3122,plain,
spl0_315,
inference(avatar_split_clause,[],[f1451,f3120]) ).
fof(f3120,plain,
( spl0_315
<=> ! [X27,X12] : ~ c_in(c_Public_OpublicKey(X27,X12),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f1451,axiom,
! [X27,X12] : ~ c_in(c_Public_OpublicKey(X27,X12),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__pubK__iff1_0) ).
fof(f3118,plain,
spl0_314,
inference(avatar_split_clause,[],[f1435,f3116]) ).
fof(f3116,plain,
( spl0_314
<=> ! [X64,X21] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X64),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f1435,axiom,
! [X21,X64] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X64),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_ONumber_0) ).
fof(f3114,plain,
spl0_313,
inference(avatar_split_clause,[],[f1430,f3112]) ).
fof(f3112,plain,
( spl0_313
<=> ! [X64,X75] : c_in(c_Message_Omsg_OAgent(X75),c_Message_Osynth(X64),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f1430,axiom,
! [X64,X75] : c_in(c_Message_Omsg_OAgent(X75),c_Message_Osynth(X64),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OAgent_0) ).
fof(f3110,plain,
spl0_312,
inference(avatar_split_clause,[],[f1331,f3108]) ).
fof(f3108,plain,
( spl0_312
<=> ! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1331,axiom,
! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f3106,plain,
spl0_311,
inference(avatar_split_clause,[],[f1282,f3104]) ).
fof(f3104,plain,
( spl0_311
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f1282,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f3102,plain,
spl0_310,
inference(avatar_split_clause,[],[f1268,f3099]) ).
fof(f3099,plain,
( spl0_310
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f1268,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f3097,plain,
spl0_309,
inference(avatar_split_clause,[],[f1238,f3095]) ).
fof(f3095,plain,
( spl0_309
<=> ! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f1238,axiom,
! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1__iff1_0) ).
fof(f3093,plain,
spl0_308,
inference(avatar_split_clause,[],[f1233,f3091]) ).
fof(f1233,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f3089,plain,
spl0_307,
inference(avatar_split_clause,[],[f1229,f3087]) ).
fof(f1229,axiom,
! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f3085,plain,
spl0_306,
inference(avatar_split_clause,[],[f1227,f3083]) ).
fof(f3083,plain,
( spl0_306
<=> ! [X25,X1] : c_append(c_List_Olist_ONil,X25,X1) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f1227,axiom,
! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f3081,plain,
spl0_305,
inference(avatar_split_clause,[],[f1185,f3079]) ).
fof(f3079,plain,
( spl0_305
<=> ! [X5,X1] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1185,axiom,
! [X1,X5] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).
fof(f3077,plain,
spl0_304,
inference(avatar_split_clause,[],[f68,f3075]) ).
fof(f3075,plain,
( spl0_304
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f3073,plain,
spl0_303,
inference(avatar_split_clause,[],[f1462,f3071]) ).
fof(f3071,plain,
( spl0_303
<=> ! [X53] : c_in(c_Public_OshrK(X53),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1462,axiom,
! [X53] : c_in(c_Public_OshrK(X53),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK_AX_A_58_AsymKeys_0) ).
fof(f3069,plain,
spl0_302,
inference(avatar_split_clause,[],[f1428,f3067]) ).
fof(f1428,axiom,
! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__emptyE_0) ).
fof(f3065,plain,
spl0_301,
inference(avatar_split_clause,[],[f1337,f3063]) ).
fof(f3063,plain,
( spl0_301
<=> ! [X12,X1] : ~ c_less(X12,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1337,axiom,
! [X1,X12] : ~ c_less(X12,c_emptyset,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f3061,plain,
spl0_300,
inference(avatar_split_clause,[],[f1253,f3059]) ).
fof(f3059,plain,
( spl0_300
<=> ! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1253,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff2_0) ).
fof(f3057,plain,
spl0_299,
inference(avatar_split_clause,[],[f1215,f3055]) ).
fof(f3055,plain,
( spl0_299
<=> ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1215,axiom,
! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff2_0) ).
fof(f3053,plain,
~ spl0_298,
inference(avatar_split_clause,[],[f1202,f3050]) ).
fof(f3050,plain,
( spl0_298
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1202,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f3048,plain,
spl0_297,
inference(avatar_split_clause,[],[f1164,f3046]) ).
fof(f3046,plain,
( spl0_297
<=> ! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f1164,axiom,
! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f3044,plain,
spl0_296,
inference(avatar_split_clause,[],[f250,f3042]) ).
fof(f3042,plain,
( spl0_296
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f250,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f3040,plain,
spl0_295,
inference(avatar_split_clause,[],[f128,f3038]) ).
fof(f3038,plain,
( spl0_295
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f128,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f3036,plain,
spl0_294,
inference(avatar_split_clause,[],[f112,f3034]) ).
fof(f112,axiom,
! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f3032,plain,
spl0_293,
inference(avatar_split_clause,[],[f101,f3030]) ).
fof(f101,axiom,
! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f3028,plain,
spl0_292,
inference(avatar_split_clause,[],[f67,f3026]) ).
fof(f3026,plain,
( spl0_292
<=> ! [X21] : c_less(c_0,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f67,axiom,
! [X21] : c_less(c_0,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f3024,plain,
spl0_291,
inference(avatar_split_clause,[],[f65,f3022]) ).
fof(f3022,plain,
( spl0_291
<=> ! [X21] : c_less(X21,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f65,axiom,
! [X21] : c_less(X21,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f3020,plain,
spl0_290,
inference(avatar_split_clause,[],[f28,f3018]) ).
fof(f3018,plain,
( spl0_290
<=> ! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f28,axiom,
! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f3016,plain,
spl0_289,
inference(avatar_split_clause,[],[f24,f3014]) ).
fof(f3014,plain,
( spl0_289
<=> ! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f24,axiom,
! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2705,plain,
spl0_288,
inference(avatar_split_clause,[],[f1412,f2703]) ).
fof(f2703,plain,
( spl0_288
<=> ! [X70] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X70) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1412,axiom,
! [X70] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X70),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__5__iff1_0) ).
fof(f2701,plain,
spl0_287,
inference(avatar_split_clause,[],[f1409,f2699]) ).
fof(f2699,plain,
( spl0_287
<=> ! [X69] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X69) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1409,axiom,
! [X69] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__2__iff1_0) ).
fof(f2697,plain,
spl0_286,
inference(avatar_split_clause,[],[f1359,f2694]) ).
fof(f2694,plain,
( spl0_286
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1359,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).
fof(f2692,plain,
~ spl0_285,
inference(avatar_split_clause,[],[f1358,f2689]) ).
fof(f2689,plain,
( spl0_285
<=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1358,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0) ).
fof(f2687,plain,
spl0_284,
inference(avatar_split_clause,[],[f1333,f2685]) ).
fof(f1333,axiom,
! [X18,X1] : ~ c_in(X18,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2683,plain,
spl0_283,
inference(avatar_split_clause,[],[f1279,f2681]) ).
fof(f2681,plain,
( spl0_283
<=> ! [X21] : ~ c_less(X21,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1279,axiom,
! [X21] : ~ c_less(X21,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f2679,plain,
spl0_282,
inference(avatar_split_clause,[],[f1274,f2676]) ).
fof(f2676,plain,
( spl0_282
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1274,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f2674,plain,
spl0_281,
inference(avatar_split_clause,[],[f1261,f2672]) ).
fof(f2672,plain,
( spl0_281
<=> ! [X15] : c_0 != c_Suc(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1261,axiom,
! [X15] : c_0 != c_Suc(X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f2670,plain,
spl0_280,
inference(avatar_split_clause,[],[f1159,f2668]) ).
fof(f2668,plain,
( spl0_280
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1159,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2666,plain,
spl0_279,
inference(avatar_split_clause,[],[f1158,f2664]) ).
fof(f2664,plain,
( spl0_279
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1158,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2662,plain,
spl0_278,
inference(avatar_split_clause,[],[f1157,f2660]) ).
fof(f2660,plain,
( spl0_278
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1157,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2658,plain,
spl0_277,
inference(avatar_split_clause,[],[f1156,f2656]) ).
fof(f2656,plain,
( spl0_277
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1156,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2654,plain,
spl0_276,
inference(avatar_split_clause,[],[f1155,f2652]) ).
fof(f2652,plain,
( spl0_276
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1155,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2650,plain,
spl0_275,
inference(avatar_split_clause,[],[f1154,f2648]) ).
fof(f2648,plain,
( spl0_275
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1154,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2646,plain,
spl0_274,
inference(avatar_split_clause,[],[f1067,f2644]) ).
fof(f2644,plain,
( spl0_274
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1067,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2642,plain,
spl0_273,
inference(avatar_split_clause,[],[f1059,f2640]) ).
fof(f2640,plain,
( spl0_273
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1059,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2638,plain,
spl0_272,
inference(avatar_split_clause,[],[f1058,f2636]) ).
fof(f2636,plain,
( spl0_272
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1058,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2634,plain,
spl0_271,
inference(avatar_split_clause,[],[f1048,f2632]) ).
fof(f2632,plain,
( spl0_271
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1048,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2630,plain,
spl0_270,
inference(avatar_split_clause,[],[f1047,f2628]) ).
fof(f2628,plain,
( spl0_270
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1047,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2626,plain,
spl0_269,
inference(avatar_split_clause,[],[f1046,f2624]) ).
fof(f2624,plain,
( spl0_269
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1046,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2622,plain,
spl0_268,
inference(avatar_split_clause,[],[f1044,f2620]) ).
fof(f2620,plain,
( spl0_268
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1044,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2618,plain,
spl0_267,
inference(avatar_split_clause,[],[f1043,f2616]) ).
fof(f2616,plain,
( spl0_267
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1043,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2614,plain,
spl0_266,
inference(avatar_split_clause,[],[f1042,f2612]) ).
fof(f2612,plain,
( spl0_266
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1042,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2610,plain,
spl0_265,
inference(avatar_split_clause,[],[f1041,f2608]) ).
fof(f2608,plain,
( spl0_265
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1041,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2606,plain,
spl0_264,
inference(avatar_split_clause,[],[f1040,f2604]) ).
fof(f2604,plain,
( spl0_264
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1040,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2602,plain,
spl0_263,
inference(avatar_split_clause,[],[f1024,f2600]) ).
fof(f2600,plain,
( spl0_263
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1024,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2598,plain,
spl0_262,
inference(avatar_split_clause,[],[f1023,f2596]) ).
fof(f2596,plain,
( spl0_262
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1023,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2594,plain,
spl0_261,
inference(avatar_split_clause,[],[f1022,f2592]) ).
fof(f2592,plain,
( spl0_261
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1022,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2590,plain,
spl0_260,
inference(avatar_split_clause,[],[f1021,f2588]) ).
fof(f2588,plain,
( spl0_260
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f1021,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2586,plain,
spl0_259,
inference(avatar_split_clause,[],[f989,f2584]) ).
fof(f2584,plain,
( spl0_259
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f989,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2582,plain,
spl0_258,
inference(avatar_split_clause,[],[f980,f2580]) ).
fof(f2580,plain,
( spl0_258
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f980,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2578,plain,
spl0_257,
inference(avatar_split_clause,[],[f979,f2576]) ).
fof(f2576,plain,
( spl0_257
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f979,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2574,plain,
spl0_256,
inference(avatar_split_clause,[],[f976,f2572]) ).
fof(f2572,plain,
( spl0_256
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f976,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2570,plain,
spl0_255,
inference(avatar_split_clause,[],[f966,f2568]) ).
fof(f2568,plain,
( spl0_255
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f966,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2566,plain,
spl0_254,
inference(avatar_split_clause,[],[f965,f2564]) ).
fof(f2564,plain,
( spl0_254
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f965,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2562,plain,
spl0_253,
inference(avatar_split_clause,[],[f962,f2560]) ).
fof(f2560,plain,
( spl0_253
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f962,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2558,plain,
spl0_252,
inference(avatar_split_clause,[],[f961,f2556]) ).
fof(f2556,plain,
( spl0_252
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f961,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2554,plain,
spl0_251,
inference(avatar_split_clause,[],[f957,f2552]) ).
fof(f2552,plain,
( spl0_251
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f957,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2550,plain,
spl0_250,
inference(avatar_split_clause,[],[f955,f2548]) ).
fof(f2548,plain,
( spl0_250
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f955,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2546,plain,
spl0_249,
inference(avatar_split_clause,[],[f954,f2544]) ).
fof(f2544,plain,
( spl0_249
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f954,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2542,plain,
spl0_248,
inference(avatar_split_clause,[],[f947,f2540]) ).
fof(f2540,plain,
( spl0_248
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f947,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2538,plain,
spl0_247,
inference(avatar_split_clause,[],[f946,f2536]) ).
fof(f2536,plain,
( spl0_247
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f946,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2534,plain,
spl0_246,
inference(avatar_split_clause,[],[f941,f2532]) ).
fof(f2532,plain,
( spl0_246
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f941,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2530,plain,
spl0_245,
inference(avatar_split_clause,[],[f940,f2528]) ).
fof(f2528,plain,
( spl0_245
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f940,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2526,plain,
spl0_244,
inference(avatar_split_clause,[],[f939,f2524]) ).
fof(f2524,plain,
( spl0_244
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f939,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2522,plain,
spl0_243,
inference(avatar_split_clause,[],[f938,f2520]) ).
fof(f2520,plain,
( spl0_243
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f938,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2518,plain,
spl0_242,
inference(avatar_split_clause,[],[f937,f2516]) ).
fof(f2516,plain,
( spl0_242
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f937,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2514,plain,
spl0_241,
inference(avatar_split_clause,[],[f936,f2512]) ).
fof(f2512,plain,
( spl0_241
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f936,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2510,plain,
spl0_240,
inference(avatar_split_clause,[],[f935,f2508]) ).
fof(f2508,plain,
( spl0_240
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f935,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2506,plain,
spl0_239,
inference(avatar_split_clause,[],[f934,f2504]) ).
fof(f2504,plain,
( spl0_239
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f934,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2502,plain,
spl0_238,
inference(avatar_split_clause,[],[f933,f2500]) ).
fof(f2500,plain,
( spl0_238
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f933,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2498,plain,
spl0_237,
inference(avatar_split_clause,[],[f924,f2496]) ).
fof(f2496,plain,
( spl0_237
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f924,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2494,plain,
spl0_236,
inference(avatar_split_clause,[],[f923,f2492]) ).
fof(f2492,plain,
( spl0_236
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f923,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2490,plain,
spl0_235,
inference(avatar_split_clause,[],[f922,f2488]) ).
fof(f2488,plain,
( spl0_235
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f922,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2486,plain,
spl0_234,
inference(avatar_split_clause,[],[f921,f2484]) ).
fof(f2484,plain,
( spl0_234
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f921,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2482,plain,
spl0_233,
inference(avatar_split_clause,[],[f920,f2480]) ).
fof(f2480,plain,
( spl0_233
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f920,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2478,plain,
spl0_232,
inference(avatar_split_clause,[],[f919,f2476]) ).
fof(f2476,plain,
( spl0_232
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f919,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2474,plain,
spl0_231,
inference(avatar_split_clause,[],[f918,f2472]) ).
fof(f2472,plain,
( spl0_231
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f918,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2470,plain,
spl0_230,
inference(avatar_split_clause,[],[f917,f2468]) ).
fof(f2468,plain,
( spl0_230
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f917,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2466,plain,
spl0_229,
inference(avatar_split_clause,[],[f916,f2464]) ).
fof(f2464,plain,
( spl0_229
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f916,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2462,plain,
spl0_228,
inference(avatar_split_clause,[],[f915,f2460]) ).
fof(f2460,plain,
( spl0_228
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f915,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2458,plain,
spl0_227,
inference(avatar_split_clause,[],[f913,f2456]) ).
fof(f2456,plain,
( spl0_227
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f913,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2454,plain,
spl0_226,
inference(avatar_split_clause,[],[f912,f2452]) ).
fof(f2452,plain,
( spl0_226
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f912,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2450,plain,
spl0_225,
inference(avatar_split_clause,[],[f911,f2448]) ).
fof(f2448,plain,
( spl0_225
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f911,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2446,plain,
spl0_224,
inference(avatar_split_clause,[],[f910,f2444]) ).
fof(f2444,plain,
( spl0_224
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f910,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2442,plain,
spl0_223,
inference(avatar_split_clause,[],[f909,f2440]) ).
fof(f2440,plain,
( spl0_223
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f909,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2438,plain,
spl0_222,
inference(avatar_split_clause,[],[f908,f2436]) ).
fof(f2436,plain,
( spl0_222
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f908,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2434,plain,
spl0_221,
inference(avatar_split_clause,[],[f883,f2432]) ).
fof(f2432,plain,
( spl0_221
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f883,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2430,plain,
spl0_220,
inference(avatar_split_clause,[],[f882,f2428]) ).
fof(f2428,plain,
( spl0_220
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f882,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2426,plain,
spl0_219,
inference(avatar_split_clause,[],[f881,f2424]) ).
fof(f2424,plain,
( spl0_219
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f881,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2422,plain,
spl0_218,
inference(avatar_split_clause,[],[f880,f2420]) ).
fof(f2420,plain,
( spl0_218
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f880,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2418,plain,
spl0_217,
inference(avatar_split_clause,[],[f879,f2416]) ).
fof(f2416,plain,
( spl0_217
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f879,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2414,plain,
spl0_216,
inference(avatar_split_clause,[],[f878,f2412]) ).
fof(f2412,plain,
( spl0_216
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f878,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2410,plain,
spl0_215,
inference(avatar_split_clause,[],[f876,f2408]) ).
fof(f2408,plain,
( spl0_215
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f876,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2406,plain,
spl0_214,
inference(avatar_split_clause,[],[f875,f2404]) ).
fof(f2404,plain,
( spl0_214
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f875,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2402,plain,
spl0_213,
inference(avatar_split_clause,[],[f874,f2400]) ).
fof(f2400,plain,
( spl0_213
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f874,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2398,plain,
spl0_212,
inference(avatar_split_clause,[],[f873,f2396]) ).
fof(f2396,plain,
( spl0_212
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f873,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2394,plain,
spl0_211,
inference(avatar_split_clause,[],[f872,f2392]) ).
fof(f2392,plain,
( spl0_211
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f872,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2390,plain,
spl0_210,
inference(avatar_split_clause,[],[f871,f2388]) ).
fof(f2388,plain,
( spl0_210
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f871,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2386,plain,
spl0_209,
inference(avatar_split_clause,[],[f870,f2384]) ).
fof(f2384,plain,
( spl0_209
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f870,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2382,plain,
spl0_208,
inference(avatar_split_clause,[],[f869,f2380]) ).
fof(f2380,plain,
( spl0_208
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f869,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2378,plain,
spl0_207,
inference(avatar_split_clause,[],[f868,f2376]) ).
fof(f2376,plain,
( spl0_207
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f868,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2374,plain,
spl0_206,
inference(avatar_split_clause,[],[f867,f2372]) ).
fof(f2372,plain,
( spl0_206
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f867,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2370,plain,
spl0_205,
inference(avatar_split_clause,[],[f865,f2368]) ).
fof(f2368,plain,
( spl0_205
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f865,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2366,plain,
spl0_204,
inference(avatar_split_clause,[],[f864,f2364]) ).
fof(f2364,plain,
( spl0_204
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f864,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2362,plain,
spl0_203,
inference(avatar_split_clause,[],[f863,f2360]) ).
fof(f2360,plain,
( spl0_203
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f863,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2358,plain,
spl0_202,
inference(avatar_split_clause,[],[f862,f2356]) ).
fof(f2356,plain,
( spl0_202
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f862,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2354,plain,
spl0_201,
inference(avatar_split_clause,[],[f861,f2352]) ).
fof(f2352,plain,
( spl0_201
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f861,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2350,plain,
spl0_200,
inference(avatar_split_clause,[],[f847,f2348]) ).
fof(f2348,plain,
( spl0_200
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f847,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2346,plain,
spl0_199,
inference(avatar_split_clause,[],[f846,f2344]) ).
fof(f2344,plain,
( spl0_199
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f846,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2342,plain,
spl0_198,
inference(avatar_split_clause,[],[f845,f2340]) ).
fof(f2340,plain,
( spl0_198
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f845,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2338,plain,
spl0_197,
inference(avatar_split_clause,[],[f844,f2336]) ).
fof(f2336,plain,
( spl0_197
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f844,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2334,plain,
spl0_196,
inference(avatar_split_clause,[],[f843,f2332]) ).
fof(f2332,plain,
( spl0_196
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f843,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2330,plain,
spl0_195,
inference(avatar_split_clause,[],[f842,f2328]) ).
fof(f2328,plain,
( spl0_195
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f842,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2326,plain,
spl0_194,
inference(avatar_split_clause,[],[f840,f2324]) ).
fof(f2324,plain,
( spl0_194
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f840,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2322,plain,
spl0_193,
inference(avatar_split_clause,[],[f839,f2320]) ).
fof(f2320,plain,
( spl0_193
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f839,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2318,plain,
spl0_192,
inference(avatar_split_clause,[],[f838,f2316]) ).
fof(f2316,plain,
( spl0_192
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f838,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2314,plain,
spl0_191,
inference(avatar_split_clause,[],[f837,f2312]) ).
fof(f2312,plain,
( spl0_191
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f837,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2310,plain,
spl0_190,
inference(avatar_split_clause,[],[f836,f2308]) ).
fof(f2308,plain,
( spl0_190
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f836,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2306,plain,
spl0_189,
inference(avatar_split_clause,[],[f835,f2304]) ).
fof(f2304,plain,
( spl0_189
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f835,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2302,plain,
spl0_188,
inference(avatar_split_clause,[],[f834,f2300]) ).
fof(f2300,plain,
( spl0_188
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f834,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2298,plain,
spl0_187,
inference(avatar_split_clause,[],[f833,f2296]) ).
fof(f2296,plain,
( spl0_187
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f833,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2294,plain,
spl0_186,
inference(avatar_split_clause,[],[f832,f2292]) ).
fof(f2292,plain,
( spl0_186
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f832,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2290,plain,
spl0_185,
inference(avatar_split_clause,[],[f831,f2288]) ).
fof(f2288,plain,
( spl0_185
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f831,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2286,plain,
spl0_184,
inference(avatar_split_clause,[],[f829,f2284]) ).
fof(f2284,plain,
( spl0_184
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f829,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2282,plain,
spl0_183,
inference(avatar_split_clause,[],[f828,f2280]) ).
fof(f2280,plain,
( spl0_183
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f828,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2278,plain,
spl0_182,
inference(avatar_split_clause,[],[f827,f2276]) ).
fof(f2276,plain,
( spl0_182
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f827,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2274,plain,
spl0_181,
inference(avatar_split_clause,[],[f826,f2272]) ).
fof(f2272,plain,
( spl0_181
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f826,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2270,plain,
spl0_180,
inference(avatar_split_clause,[],[f825,f2268]) ).
fof(f2268,plain,
( spl0_180
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f825,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2266,plain,
spl0_179,
inference(avatar_split_clause,[],[f824,f2264]) ).
fof(f2264,plain,
( spl0_179
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f824,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2262,plain,
spl0_178,
inference(avatar_split_clause,[],[f823,f2260]) ).
fof(f2260,plain,
( spl0_178
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f823,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2258,plain,
spl0_177,
inference(avatar_split_clause,[],[f822,f2256]) ).
fof(f2256,plain,
( spl0_177
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f822,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2254,plain,
spl0_176,
inference(avatar_split_clause,[],[f821,f2252]) ).
fof(f2252,plain,
( spl0_176
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f821,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2250,plain,
spl0_175,
inference(avatar_split_clause,[],[f820,f2248]) ).
fof(f2248,plain,
( spl0_175
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f820,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2246,plain,
spl0_174,
inference(avatar_split_clause,[],[f727,f2244]) ).
fof(f2244,plain,
( spl0_174
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f727,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2242,plain,
spl0_173,
inference(avatar_split_clause,[],[f726,f2240]) ).
fof(f2240,plain,
( spl0_173
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f726,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2238,plain,
spl0_172,
inference(avatar_split_clause,[],[f725,f2236]) ).
fof(f2236,plain,
( spl0_172
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f725,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2234,plain,
spl0_171,
inference(avatar_split_clause,[],[f723,f2232]) ).
fof(f2232,plain,
( spl0_171
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f723,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2230,plain,
spl0_170,
inference(avatar_split_clause,[],[f722,f2228]) ).
fof(f2228,plain,
( spl0_170
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f722,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2226,plain,
spl0_169,
inference(avatar_split_clause,[],[f719,f2224]) ).
fof(f2224,plain,
( spl0_169
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f719,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2222,plain,
spl0_168,
inference(avatar_split_clause,[],[f718,f2220]) ).
fof(f2220,plain,
( spl0_168
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f718,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2218,plain,
spl0_167,
inference(avatar_split_clause,[],[f716,f2216]) ).
fof(f2216,plain,
( spl0_167
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f716,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2214,plain,
spl0_166,
inference(avatar_split_clause,[],[f715,f2212]) ).
fof(f2212,plain,
( spl0_166
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f715,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2210,plain,
spl0_165,
inference(avatar_split_clause,[],[f714,f2208]) ).
fof(f2208,plain,
( spl0_165
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f714,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2206,plain,
spl0_164,
inference(avatar_split_clause,[],[f713,f2204]) ).
fof(f2204,plain,
( spl0_164
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f713,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2202,plain,
spl0_163,
inference(avatar_split_clause,[],[f712,f2200]) ).
fof(f2200,plain,
( spl0_163
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f712,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2198,plain,
spl0_162,
inference(avatar_split_clause,[],[f711,f2196]) ).
fof(f2196,plain,
( spl0_162
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f711,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2194,plain,
spl0_161,
inference(avatar_split_clause,[],[f710,f2192]) ).
fof(f2192,plain,
( spl0_161
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f710,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2190,plain,
spl0_160,
inference(avatar_split_clause,[],[f709,f2188]) ).
fof(f2188,plain,
( spl0_160
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f709,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2186,plain,
spl0_159,
inference(avatar_split_clause,[],[f704,f2184]) ).
fof(f2184,plain,
( spl0_159
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f704,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2182,plain,
spl0_158,
inference(avatar_split_clause,[],[f703,f2180]) ).
fof(f2180,plain,
( spl0_158
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f703,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2178,plain,
spl0_157,
inference(avatar_split_clause,[],[f702,f2176]) ).
fof(f2176,plain,
( spl0_157
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f702,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2174,plain,
spl0_156,
inference(avatar_split_clause,[],[f701,f2172]) ).
fof(f2172,plain,
( spl0_156
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f701,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2170,plain,
spl0_155,
inference(avatar_split_clause,[],[f700,f2168]) ).
fof(f2168,plain,
( spl0_155
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f700,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2166,plain,
spl0_154,
inference(avatar_split_clause,[],[f698,f2164]) ).
fof(f2164,plain,
( spl0_154
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f698,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2162,plain,
spl0_153,
inference(avatar_split_clause,[],[f696,f2160]) ).
fof(f2160,plain,
( spl0_153
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f696,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2158,plain,
spl0_152,
inference(avatar_split_clause,[],[f695,f2156]) ).
fof(f2156,plain,
( spl0_152
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f695,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2154,plain,
spl0_151,
inference(avatar_split_clause,[],[f694,f2152]) ).
fof(f2152,plain,
( spl0_151
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f694,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2150,plain,
spl0_150,
inference(avatar_split_clause,[],[f693,f2148]) ).
fof(f2148,plain,
( spl0_150
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f693,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2146,plain,
spl0_149,
inference(avatar_split_clause,[],[f692,f2144]) ).
fof(f2144,plain,
( spl0_149
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f692,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2142,plain,
spl0_148,
inference(avatar_split_clause,[],[f691,f2140]) ).
fof(f2140,plain,
( spl0_148
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f691,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2138,plain,
spl0_147,
inference(avatar_split_clause,[],[f686,f2136]) ).
fof(f2136,plain,
( spl0_147
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f686,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2134,plain,
spl0_146,
inference(avatar_split_clause,[],[f677,f2132]) ).
fof(f2132,plain,
( spl0_146
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f677,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2130,plain,
spl0_145,
inference(avatar_split_clause,[],[f676,f2128]) ).
fof(f2128,plain,
( spl0_145
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f676,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2126,plain,
spl0_144,
inference(avatar_split_clause,[],[f674,f2124]) ).
fof(f2124,plain,
( spl0_144
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f674,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f2122,plain,
spl0_143,
inference(avatar_split_clause,[],[f483,f2120]) ).
fof(f2120,plain,
( spl0_143
<=> ! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f483,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f2118,plain,
spl0_142,
inference(avatar_split_clause,[],[f454,f2116]) ).
fof(f2116,plain,
( spl0_142
<=> ! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f454,axiom,
! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2114,plain,
spl0_141,
inference(avatar_split_clause,[],[f453,f2112]) ).
fof(f2112,plain,
( spl0_141
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f453,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2110,plain,
spl0_140,
inference(avatar_split_clause,[],[f452,f2108]) ).
fof(f2108,plain,
( spl0_140
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f452,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f2106,plain,
spl0_139,
inference(avatar_split_clause,[],[f451,f2104]) ).
fof(f2104,plain,
( spl0_139
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f451,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f2102,plain,
spl0_138,
inference(avatar_split_clause,[],[f450,f2100]) ).
fof(f2100,plain,
( spl0_138
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f450,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f2098,plain,
spl0_137,
inference(avatar_split_clause,[],[f449,f2096]) ).
fof(f2096,plain,
( spl0_137
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f449,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f2094,plain,
spl0_136,
inference(avatar_split_clause,[],[f441,f2092]) ).
fof(f2092,plain,
( spl0_136
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f441,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f2090,plain,
spl0_135,
inference(avatar_split_clause,[],[f440,f2088]) ).
fof(f2088,plain,
( spl0_135
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f440,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f2086,plain,
spl0_134,
inference(avatar_split_clause,[],[f439,f2084]) ).
fof(f2084,plain,
( spl0_134
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f439,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f2082,plain,
spl0_133,
inference(avatar_split_clause,[],[f433,f2080]) ).
fof(f2080,plain,
( spl0_133
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f433,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f2078,plain,
spl0_132,
inference(avatar_split_clause,[],[f432,f2076]) ).
fof(f2076,plain,
( spl0_132
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f432,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f2074,plain,
spl0_131,
inference(avatar_split_clause,[],[f431,f2072]) ).
fof(f2072,plain,
( spl0_131
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f431,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f2070,plain,
spl0_130,
inference(avatar_split_clause,[],[f430,f2068]) ).
fof(f2068,plain,
( spl0_130
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f430,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f2066,plain,
spl0_129,
inference(avatar_split_clause,[],[f426,f2064]) ).
fof(f2064,plain,
( spl0_129
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f426,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f2062,plain,
spl0_128,
inference(avatar_split_clause,[],[f425,f2060]) ).
fof(f2060,plain,
( spl0_128
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f425,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f2058,plain,
spl0_127,
inference(avatar_split_clause,[],[f424,f2056]) ).
fof(f2056,plain,
( spl0_127
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f424,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f2054,plain,
spl0_126,
inference(avatar_split_clause,[],[f416,f2052]) ).
fof(f2052,plain,
( spl0_126
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f416,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f2050,plain,
spl0_125,
inference(avatar_split_clause,[],[f415,f2048]) ).
fof(f2048,plain,
( spl0_125
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f415,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f2046,plain,
spl0_124,
inference(avatar_split_clause,[],[f414,f2044]) ).
fof(f2044,plain,
( spl0_124
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f414,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f2042,plain,
spl0_123,
inference(avatar_split_clause,[],[f413,f2040]) ).
fof(f2040,plain,
( spl0_123
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f413,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f2038,plain,
spl0_122,
inference(avatar_split_clause,[],[f410,f2036]) ).
fof(f2036,plain,
( spl0_122
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f410,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f2034,plain,
spl0_121,
inference(avatar_split_clause,[],[f404,f2032]) ).
fof(f2032,plain,
( spl0_121
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f404,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f2030,plain,
spl0_120,
inference(avatar_split_clause,[],[f403,f2028]) ).
fof(f2028,plain,
( spl0_120
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f403,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f2026,plain,
spl0_119,
inference(avatar_split_clause,[],[f402,f2024]) ).
fof(f2024,plain,
( spl0_119
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f402,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f2022,plain,
spl0_118,
inference(avatar_split_clause,[],[f401,f2020]) ).
fof(f2020,plain,
( spl0_118
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f401,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f2018,plain,
spl0_117,
inference(avatar_split_clause,[],[f400,f2016]) ).
fof(f2016,plain,
( spl0_117
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f400,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f2014,plain,
spl0_116,
inference(avatar_split_clause,[],[f399,f2012]) ).
fof(f2012,plain,
( spl0_116
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f399,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f2010,plain,
spl0_115,
inference(avatar_split_clause,[],[f398,f2008]) ).
fof(f2008,plain,
( spl0_115
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f398,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f2006,plain,
spl0_114,
inference(avatar_split_clause,[],[f397,f2004]) ).
fof(f2004,plain,
( spl0_114
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f397,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f2002,plain,
spl0_113,
inference(avatar_split_clause,[],[f393,f2000]) ).
fof(f2000,plain,
( spl0_113
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f393,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1998,plain,
spl0_112,
inference(avatar_split_clause,[],[f392,f1996]) ).
fof(f1996,plain,
( spl0_112
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f392,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1994,plain,
spl0_111,
inference(avatar_split_clause,[],[f391,f1992]) ).
fof(f1992,plain,
( spl0_111
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f391,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1990,plain,
spl0_110,
inference(avatar_split_clause,[],[f390,f1988]) ).
fof(f1988,plain,
( spl0_110
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f390,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1986,plain,
spl0_109,
inference(avatar_split_clause,[],[f389,f1984]) ).
fof(f1984,plain,
( spl0_109
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f389,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1982,plain,
spl0_108,
inference(avatar_split_clause,[],[f385,f1980]) ).
fof(f1980,plain,
( spl0_108
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f385,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1978,plain,
spl0_107,
inference(avatar_split_clause,[],[f384,f1976]) ).
fof(f1976,plain,
( spl0_107
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f384,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1974,plain,
spl0_106,
inference(avatar_split_clause,[],[f383,f1972]) ).
fof(f1972,plain,
( spl0_106
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f383,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1970,plain,
spl0_105,
inference(avatar_split_clause,[],[f382,f1968]) ).
fof(f1968,plain,
( spl0_105
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f382,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1966,plain,
spl0_104,
inference(avatar_split_clause,[],[f375,f1964]) ).
fof(f1964,plain,
( spl0_104
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f375,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1962,plain,
spl0_103,
inference(avatar_split_clause,[],[f374,f1960]) ).
fof(f1960,plain,
( spl0_103
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f374,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1958,plain,
spl0_102,
inference(avatar_split_clause,[],[f373,f1956]) ).
fof(f1956,plain,
( spl0_102
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f373,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1954,plain,
spl0_101,
inference(avatar_split_clause,[],[f372,f1952]) ).
fof(f1952,plain,
( spl0_101
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f372,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1950,plain,
spl0_100,
inference(avatar_split_clause,[],[f371,f1948]) ).
fof(f1948,plain,
( spl0_100
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f371,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1946,plain,
spl0_99,
inference(avatar_split_clause,[],[f370,f1944]) ).
fof(f1944,plain,
( spl0_99
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f370,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1942,plain,
spl0_98,
inference(avatar_split_clause,[],[f366,f1940]) ).
fof(f1940,plain,
( spl0_98
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f366,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1938,plain,
spl0_97,
inference(avatar_split_clause,[],[f365,f1936]) ).
fof(f1936,plain,
( spl0_97
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f365,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1934,plain,
spl0_96,
inference(avatar_split_clause,[],[f364,f1932]) ).
fof(f1932,plain,
( spl0_96
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f364,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1930,plain,
spl0_95,
inference(avatar_split_clause,[],[f363,f1928]) ).
fof(f1928,plain,
( spl0_95
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f363,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1926,plain,
spl0_94,
inference(avatar_split_clause,[],[f356,f1924]) ).
fof(f1924,plain,
( spl0_94
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f356,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1922,plain,
spl0_93,
inference(avatar_split_clause,[],[f354,f1920]) ).
fof(f1920,plain,
( spl0_93
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f354,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1918,plain,
spl0_92,
inference(avatar_split_clause,[],[f353,f1916]) ).
fof(f1916,plain,
( spl0_92
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f353,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1914,plain,
spl0_91,
inference(avatar_split_clause,[],[f352,f1912]) ).
fof(f1912,plain,
( spl0_91
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f352,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1910,plain,
spl0_90,
inference(avatar_split_clause,[],[f347,f1908]) ).
fof(f1908,plain,
( spl0_90
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f347,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1906,plain,
spl0_89,
inference(avatar_split_clause,[],[f346,f1904]) ).
fof(f1904,plain,
( spl0_89
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f346,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1902,plain,
spl0_88,
inference(avatar_split_clause,[],[f345,f1900]) ).
fof(f1900,plain,
( spl0_88
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f345,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1898,plain,
spl0_87,
inference(avatar_split_clause,[],[f344,f1896]) ).
fof(f1896,plain,
( spl0_87
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f344,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1894,plain,
spl0_86,
inference(avatar_split_clause,[],[f343,f1892]) ).
fof(f1892,plain,
( spl0_86
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f343,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1890,plain,
spl0_85,
inference(avatar_split_clause,[],[f338,f1888]) ).
fof(f1888,plain,
( spl0_85
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f338,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1886,plain,
spl0_84,
inference(avatar_split_clause,[],[f337,f1884]) ).
fof(f1884,plain,
( spl0_84
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f337,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1882,plain,
spl0_83,
inference(avatar_split_clause,[],[f336,f1880]) ).
fof(f1880,plain,
( spl0_83
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f336,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1878,plain,
spl0_82,
inference(avatar_split_clause,[],[f335,f1876]) ).
fof(f1876,plain,
( spl0_82
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f335,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1874,plain,
spl0_81,
inference(avatar_split_clause,[],[f334,f1872]) ).
fof(f1872,plain,
( spl0_81
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f334,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1870,plain,
spl0_80,
inference(avatar_split_clause,[],[f333,f1868]) ).
fof(f1868,plain,
( spl0_80
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f333,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1866,plain,
spl0_79,
inference(avatar_split_clause,[],[f332,f1864]) ).
fof(f1864,plain,
( spl0_79
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f332,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1862,plain,
spl0_78,
inference(avatar_split_clause,[],[f328,f1860]) ).
fof(f1860,plain,
( spl0_78
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f328,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1858,plain,
spl0_77,
inference(avatar_split_clause,[],[f327,f1856]) ).
fof(f1856,plain,
( spl0_77
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f327,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1854,plain,
spl0_76,
inference(avatar_split_clause,[],[f326,f1852]) ).
fof(f1852,plain,
( spl0_76
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f326,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1850,plain,
spl0_75,
inference(avatar_split_clause,[],[f319,f1848]) ).
fof(f1848,plain,
( spl0_75
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f319,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1846,plain,
spl0_74,
inference(avatar_split_clause,[],[f260,f1844]) ).
fof(f1844,plain,
( spl0_74
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f260,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1842,plain,
spl0_73,
inference(avatar_split_clause,[],[f259,f1840]) ).
fof(f1840,plain,
( spl0_73
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f259,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1838,plain,
spl0_72,
inference(avatar_split_clause,[],[f258,f1836]) ).
fof(f1836,plain,
( spl0_72
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f258,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1834,plain,
spl0_71,
inference(avatar_split_clause,[],[f257,f1832]) ).
fof(f1832,plain,
( spl0_71
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f257,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1830,plain,
spl0_70,
inference(avatar_split_clause,[],[f256,f1828]) ).
fof(f1828,plain,
( spl0_70
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f256,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1826,plain,
spl0_69,
inference(avatar_split_clause,[],[f255,f1824]) ).
fof(f1824,plain,
( spl0_69
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f255,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1822,plain,
spl0_68,
inference(avatar_split_clause,[],[f254,f1820]) ).
fof(f1820,plain,
( spl0_68
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f254,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1818,plain,
spl0_67,
inference(avatar_split_clause,[],[f253,f1816]) ).
fof(f1816,plain,
( spl0_67
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f253,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1814,plain,
spl0_66,
inference(avatar_split_clause,[],[f98,f1812]) ).
fof(f98,axiom,
! [X0,X1] : c_in(X0,c_UNIV,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1810,plain,
spl0_65,
inference(avatar_split_clause,[],[f66,f1808]) ).
fof(f1808,plain,
( spl0_65
<=> ! [X21] : ~ c_less(X21,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f66,axiom,
! [X21] : ~ c_less(X21,X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1806,plain,
spl0_64,
inference(avatar_split_clause,[],[f64,f1804]) ).
fof(f1804,plain,
( spl0_64
<=> ! [X21] : c_lessequals(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f64,axiom,
! [X21] : c_lessequals(c_0,X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1802,plain,
spl0_63,
inference(avatar_split_clause,[],[f40,f1800]) ).
fof(f1800,plain,
( spl0_63
<=> ! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f40,axiom,
! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1798,plain,
spl0_62,
inference(avatar_split_clause,[],[f39,f1796]) ).
fof(f39,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1794,plain,
spl0_61,
inference(avatar_split_clause,[],[f23,f1792]) ).
fof(f1792,plain,
( spl0_61
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f23,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1790,plain,
spl0_60,
inference(avatar_split_clause,[],[f1471,f1787]) ).
fof(f1471,axiom,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1785,plain,
~ spl0_59,
inference(avatar_split_clause,[],[f1448,f1782]) ).
fof(f1782,plain,
( spl0_59
<=> c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1448,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__1__iff1_0) ).
fof(f1780,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f1411,f1777]) ).
fof(f1777,plain,
( spl0_58
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1411,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4__iff1_0) ).
fof(f1775,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f1325,f1772]) ).
fof(f1772,plain,
( spl0_57
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1325,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1770,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f1281,f1767]) ).
fof(f1767,plain,
( spl0_56
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1281,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1765,plain,
~ spl0_55,
inference(avatar_split_clause,[],[f1189,f1762]) ).
fof(f1762,plain,
( spl0_55
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1189,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1760,plain,
spl0_54,
inference(avatar_split_clause,[],[f249,f1758]) ).
fof(f1758,plain,
( spl0_54
<=> ! [X37] : class_Orderings_Oorder(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f249,axiom,
! [X37] : class_Orderings_Oorder(tc_set(X37)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1756,plain,
spl0_53,
inference(avatar_split_clause,[],[f248,f1754]) ).
fof(f1754,plain,
( spl0_53
<=> ! [X37] : class_Orderings_Oord(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f248,axiom,
! [X37] : class_Orderings_Oord(tc_set(X37)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1752,plain,
spl0_52,
inference(avatar_split_clause,[],[f126,f1749]) ).
fof(f1749,plain,
( spl0_52
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1747,plain,
spl0_51,
inference(avatar_split_clause,[],[f124,f1744]) ).
fof(f1744,plain,
( spl0_51
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1742,plain,
spl0_50,
inference(avatar_split_clause,[],[f123,f1740]) ).
fof(f1740,plain,
( spl0_50
<=> ! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f123,axiom,
! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1738,plain,
spl0_49,
inference(avatar_split_clause,[],[f244,f1735]) ).
fof(f1735,plain,
( spl0_49
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1733,plain,
spl0_48,
inference(avatar_split_clause,[],[f243,f1730]) ).
fof(f1730,plain,
( spl0_48
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1728,plain,
spl0_47,
inference(avatar_split_clause,[],[f242,f1725]) ).
fof(f1725,plain,
( spl0_47
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1723,plain,
spl0_46,
inference(avatar_split_clause,[],[f241,f1720]) ).
fof(f1720,plain,
( spl0_46
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1718,plain,
spl0_45,
inference(avatar_split_clause,[],[f236,f1715]) ).
fof(f1715,plain,
( spl0_45
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1713,plain,
spl0_44,
inference(avatar_split_clause,[],[f235,f1710]) ).
fof(f1710,plain,
( spl0_44
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1708,plain,
spl0_43,
inference(avatar_split_clause,[],[f234,f1705]) ).
fof(f1705,plain,
( spl0_43
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1703,plain,
spl0_42,
inference(avatar_split_clause,[],[f233,f1700]) ).
fof(f1700,plain,
( spl0_42
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1698,plain,
spl0_41,
inference(avatar_split_clause,[],[f232,f1695]) ).
fof(f1695,plain,
( spl0_41
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1693,plain,
spl0_40,
inference(avatar_split_clause,[],[f231,f1690]) ).
fof(f1690,plain,
( spl0_40
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1688,plain,
spl0_39,
inference(avatar_split_clause,[],[f230,f1685]) ).
fof(f1685,plain,
( spl0_39
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1683,plain,
spl0_38,
inference(avatar_split_clause,[],[f229,f1680]) ).
fof(f1680,plain,
( spl0_38
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1678,plain,
spl0_37,
inference(avatar_split_clause,[],[f228,f1675]) ).
fof(f1675,plain,
( spl0_37
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1673,plain,
spl0_36,
inference(avatar_split_clause,[],[f227,f1670]) ).
fof(f1670,plain,
( spl0_36
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1668,plain,
spl0_35,
inference(avatar_split_clause,[],[f226,f1665]) ).
fof(f1665,plain,
( spl0_35
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1663,plain,
spl0_34,
inference(avatar_split_clause,[],[f225,f1660]) ).
fof(f1660,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1658,plain,
spl0_33,
inference(avatar_split_clause,[],[f221,f1655]) ).
fof(f1655,plain,
( spl0_33
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1653,plain,
spl0_32,
inference(avatar_split_clause,[],[f210,f1650]) ).
fof(f1650,plain,
( spl0_32
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1648,plain,
spl0_31,
inference(avatar_split_clause,[],[f195,f1645]) ).
fof(f1645,plain,
( spl0_31
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1643,plain,
spl0_30,
inference(avatar_split_clause,[],[f194,f1640]) ).
fof(f1640,plain,
( spl0_30
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1638,plain,
spl0_29,
inference(avatar_split_clause,[],[f183,f1635]) ).
fof(f1635,plain,
( spl0_29
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1633,plain,
spl0_28,
inference(avatar_split_clause,[],[f181,f1630]) ).
fof(f1630,plain,
( spl0_28
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1628,plain,
spl0_27,
inference(avatar_split_clause,[],[f180,f1625]) ).
fof(f1625,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1623,plain,
spl0_26,
inference(avatar_split_clause,[],[f178,f1620]) ).
fof(f1620,plain,
( spl0_26
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1618,plain,
spl0_25,
inference(avatar_split_clause,[],[f177,f1615]) ).
fof(f1615,plain,
( spl0_25
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1613,plain,
spl0_24,
inference(avatar_split_clause,[],[f176,f1610]) ).
fof(f1610,plain,
( spl0_24
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1608,plain,
spl0_23,
inference(avatar_split_clause,[],[f175,f1605]) ).
fof(f1605,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1603,plain,
spl0_22,
inference(avatar_split_clause,[],[f174,f1600]) ).
fof(f1600,plain,
( spl0_22
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1598,plain,
spl0_21,
inference(avatar_split_clause,[],[f173,f1595]) ).
fof(f1595,plain,
( spl0_21
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1593,plain,
spl0_20,
inference(avatar_split_clause,[],[f172,f1590]) ).
fof(f1590,plain,
( spl0_20
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1588,plain,
spl0_19,
inference(avatar_split_clause,[],[f171,f1585]) ).
fof(f1585,plain,
( spl0_19
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1583,plain,
spl0_18,
inference(avatar_split_clause,[],[f170,f1580]) ).
fof(f1580,plain,
( spl0_18
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1578,plain,
spl0_17,
inference(avatar_split_clause,[],[f169,f1575]) ).
fof(f1575,plain,
( spl0_17
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1573,plain,
spl0_16,
inference(avatar_split_clause,[],[f168,f1570]) ).
fof(f1570,plain,
( spl0_16
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1568,plain,
spl0_15,
inference(avatar_split_clause,[],[f167,f1565]) ).
fof(f1565,plain,
( spl0_15
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1563,plain,
spl0_14,
inference(avatar_split_clause,[],[f166,f1560]) ).
fof(f1560,plain,
( spl0_14
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1558,plain,
spl0_13,
inference(avatar_split_clause,[],[f165,f1555]) ).
fof(f1555,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1553,plain,
spl0_12,
inference(avatar_split_clause,[],[f164,f1550]) ).
fof(f1550,plain,
( spl0_12
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1548,plain,
spl0_11,
inference(avatar_split_clause,[],[f162,f1545]) ).
fof(f1545,plain,
( spl0_11
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1543,plain,
spl0_10,
inference(avatar_split_clause,[],[f161,f1540]) ).
fof(f1540,plain,
( spl0_10
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1538,plain,
spl0_9,
inference(avatar_split_clause,[],[f160,f1535]) ).
fof(f1535,plain,
( spl0_9
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1533,plain,
spl0_8,
inference(avatar_split_clause,[],[f159,f1530]) ).
fof(f1530,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1528,plain,
spl0_7,
inference(avatar_split_clause,[],[f158,f1525]) ).
fof(f1525,plain,
( spl0_7
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1523,plain,
spl0_6,
inference(avatar_split_clause,[],[f157,f1520]) ).
fof(f1520,plain,
( spl0_6
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1518,plain,
spl0_5,
inference(avatar_split_clause,[],[f156,f1515]) ).
fof(f1515,plain,
( spl0_5
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1513,plain,
spl0_4,
inference(avatar_split_clause,[],[f155,f1510]) ).
fof(f1510,plain,
( spl0_4
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1508,plain,
spl0_3,
inference(avatar_split_clause,[],[f154,f1505]) ).
fof(f1505,plain,
( spl0_3
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f1503,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f1473,f1500]) ).
fof(f1473,axiom,
~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1498,plain,
spl0_1,
inference(avatar_split_clause,[],[f1472,f1495]) ).
fof(f1472,axiom,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV364-1 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.39 % Computer : n002.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sun May 19 06:47:23 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.40 % (19902)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.45 % (19905)WARNING: value z3 for option sas not known
% 0.26/0.45 % (19906)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.26/0.45 % (19903)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.26/0.45 % (19909)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)
% 0.26/0.45 % (19908)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)
% 0.26/0.45 % (19907)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)
% 0.26/0.45 % (19904)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.26/0.45 % (19905)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)
% 0.26/0.52 TRYING [1]
% 0.26/0.54 TRYING [2]
% 0.26/0.54 % (19907)First to succeed.
% 1.05/0.56 % (19907)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19902"
% 1.05/0.57 % (19907)Refutation found. Thanks to Tanya!
% 1.05/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.05/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.16/0.58 % (19907)------------------------------
% 1.16/0.58 % (19907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.58 % (19907)Termination reason: Refutation
% 1.16/0.58
% 1.16/0.58 % (19907)Memory used [KB]: 3363
% 1.16/0.58 % (19907)Time elapsed: 0.118 s
% 1.16/0.58 % (19907)Instructions burned: 193 (million)
% 1.16/0.58 % (19902)Success in time 0.184 s
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