TSTP Solution File: SWV302-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV302-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 Apr 30 16:44:08 EDT 2024
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1165
% Syntax : Number of formulae : 1841 ( 730 unt; 0 def)
% Number of atoms : 3514 ( 398 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 2825 (1152 ~;1078 |; 0 &)
% ( 595 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 633 ( 631 usr; 596 prp; 0-3 aty)
% Number of functors : 123 ( 123 usr; 39 con; 0-4 aty)
% Number of variables : 2075 (2075 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4726,plain,
$false,
inference(avatar_sat_refutation,[],[f1517,f1522,f1527,f1532,f1537,f1542,f1547,f1552,f1557,f1562,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1637,f1642,f1647,f1652,f1657,f1662,f1667,f1672,f1677,f1682,f1687,f1692,f1697,f1702,f1707,f1712,f1717,f1722,f1727,f1732,f1737,f1742,f1747,f1752,f1757,f1762,f1767,f1771,f1776,f1781,f1785,f1789,f1794,f1799,f1804,f1809,f1814,f1819,f1823,f1827,f1831,f1835,f1839,f1843,f1847,f1851,f1855,f1859,f1863,f1867,f1871,f1875,f1879,f1883,f1887,f1891,f1895,f1899,f1903,f1907,f1911,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1951,f1955,f1959,f1963,f1967,f1971,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2067,f2071,f2075,f2079,f2083,f2087,f2091,f2095,f2099,f2103,f2107,f2111,f2115,f2119,f2123,f2127,f2131,f2135,f2139,f2143,f2147,f2151,f2155,f2159,f2163,f2167,f2171,f2175,f2179,f2183,f2187,f2191,f2195,f2199,f2203,f2207,f2211,f2215,f2219,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2267,f2271,f2275,f2279,f2283,f2287,f2291,f2295,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2331,f2335,f2339,f2343,f2347,f2351,f2355,f2359,f2363,f2367,f2371,f2375,f2379,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2435,f2439,f2443,f2447,f2451,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2491,f2495,f2499,f2503,f2507,f2511,f2515,f2519,f2523,f2527,f2531,f2535,f2539,f2543,f2547,f2551,f2555,f2559,f2563,f2567,f2571,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2603,f2607,f2611,f2615,f2619,f2623,f2627,f2631,f2635,f2639,f2643,f2647,f2651,f2655,f2659,f2663,f2667,f2671,f2675,f2679,f2683,f2687,f2691,f2695,f2699,f2703,f2708,f2712,f2716,f2721,f2726,f2730,f2734,f3045,f3049,f3053,f3057,f3061,f3065,f3069,f3073,f3077,f3082,f3086,f3090,f3094,f3098,f3102,f3106,f3110,f3114,f3118,f3122,f3126,f3131,f3135,f3139,f3143,f3147,f3151,f3155,f3160,f3164,f3168,f3172,f3176,f3180,f3184,f3188,f3192,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3228,f3232,f3236,f3240,f3244,f3248,f3262,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3320,f3324,f3328,f3332,f3336,f3340,f3344,f3348,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3384,f3388,f3392,f3396,f3400,f3406,f3435,f3441,f3446,f3455,f3462,f3467,f3479,f3484,f3493,f3501,f3503,f3507,f3511,f3515,f3519,f3523,f3527,f3531,f3535,f3539,f3543,f3547,f3551,f3555,f3559,f3563,f3567,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3600,f3604,f3608,f3612,f3616,f3620,f3624,f3628,f3632,f3636,f3640,f3644,f3665,f3671,f3675,f3679,f3683,f3687,f3691,f3695,f3699,f3703,f3707,f3711,f3715,f3719,f3723,f3727,f3731,f3735,f3739,f3743,f3747,f3751,f3755,f3759,f3763,f3767,f3771,f3775,f3779,f3783,f3787,f3791,f3795,f3799,f3803,f3807,f3838,f3854,f3863,f3867,f3871,f3875,f3879,f3883,f3887,f3891,f3895,f3899,f3903,f3907,f3911,f3915,f3919,f3929,f3933,f3943,f3957,f3961,f3969,f3973,f3977,f3981,f3985,f3989,f3993,f3997,f4001,f4005,f4017,f4021,f4025,f4029,f4033,f4037,f4041,f4045,f4049,f4053,f4065,f4069,f4073,f4077,f4081,f4085,f4089,f4093,f4097,f4101,f4105,f4109,f4113,f4117,f4121,f4125,f4129,f4133,f4137,f4141,f4145,f4149,f4153,f4157,f4186,f4226,f4246,f4256,f4260,f4264,f4268,f4272,f4276,f4280,f4284,f4288,f4292,f4296,f4300,f4305,f4309,f4313,f4317,f4346,f4350,f4355,f4359,f4363,f4367,f4371,f4375,f4379,f4383,f4387,f4391,f4395,f4400,f4404,f4408,f4412,f4416,f4443,f4474,f4478,f4482,f4486,f4490,f4494,f4498,f4502,f4507,f4511,f4515,f4519,f4523,f4527,f4531,f4535,f4539,f4543,f4547,f4552,f4638,f4642,f4647,f4651,f4655,f4659,f4663,f4667,f4671,f4675,f4679,f4683,f4687,f4720,f4722,f4725]) ).
fof(f4725,plain,
( ~ spl0_377
| ~ spl0_595 ),
inference(avatar_contradiction_clause,[],[f4723]) ).
fof(f4723,plain,
( $false
| ~ spl0_377
| ~ spl0_595 ),
inference(resolution,[],[f3430,f4719]) ).
fof(f4719,plain,
( ! [X24] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_595 ),
inference(avatar_component_clause,[],[f4718]) ).
fof(f4718,plain,
( spl0_595
<=> ! [X24] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f3430,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f3428]) ).
fof(f3428,plain,
( spl0_377
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f4722,plain,
( ~ spl0_379
| ~ spl0_595 ),
inference(avatar_contradiction_clause,[],[f4721]) ).
fof(f4721,plain,
( $false
| ~ spl0_379
| ~ spl0_595 ),
inference(resolution,[],[f4719,f3439]) ).
fof(f3439,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f3438]) ).
fof(f3438,plain,
( spl0_379
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f4720,plain,
( spl0_595
| spl0_319
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1484,f1816,f3157,f4718]) ).
fof(f3157,plain,
( spl0_319
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f1816,plain,
( spl0_62
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1484,axiom,
! [X24] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X24,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f4687,plain,
spl0_594,
inference(avatar_split_clause,[],[f1507,f4685]) ).
fof(f4685,plain,
( spl0_594
<=> ! [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_594])]) ).
fof(f1507,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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__eq__iff1_0) ).
fof(f4683,plain,
spl0_593,
inference(avatar_split_clause,[],[f1437,f4681]) ).
fof(f4681,plain,
( spl0_593
<=> ! [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_593])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f4679,plain,
spl0_592,
inference(avatar_split_clause,[],[f1393,f4677]) ).
fof(f4677,plain,
( spl0_592
<=> ! [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_592])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OHash__synth_0) ).
fof(f4675,plain,
spl0_591,
inference(avatar_split_clause,[],[f1318,f4673]) ).
fof(f4673,plain,
( spl0_591
<=> ! [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_591])]) ).
fof(f1318,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4671,plain,
spl0_590,
inference(avatar_split_clause,[],[f1315,f4669]) ).
fof(f4669,plain,
( spl0_590
<=> ! [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_590])]) ).
fof(f1315,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4667,plain,
spl0_589,
inference(avatar_split_clause,[],[f1314,f4665]) ).
fof(f4665,plain,
( spl0_589
<=> ! [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_589])]) ).
fof(f1314,axiom,
! [X1,X12,X13] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4663,plain,
spl0_588,
inference(avatar_split_clause,[],[f1243,f4661]) ).
fof(f4661,plain,
( spl0_588
<=> ! [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_588])]) ).
fof(f1243,axiom,
! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4659,plain,
spl0_587,
inference(avatar_split_clause,[],[f1236,f4657]) ).
fof(f4657,plain,
( spl0_587
<=> ! [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_587])]) ).
fof(f1236,axiom,
! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4655,plain,
spl0_586,
inference(avatar_split_clause,[],[f1216,f4653]) ).
fof(f4653,plain,
( spl0_586
<=> ! [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_586])]) ).
fof(f1216,axiom,
! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4651,plain,
spl0_585,
inference(avatar_split_clause,[],[f1210,f4649]) ).
fof(f4649,plain,
( spl0_585
<=> ! [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_585])]) ).
fof(f1210,axiom,
! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f4647,plain,
( spl0_584
| ~ spl0_513
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4580,f4504,f4111,f4644]) ).
fof(f4644,plain,
( spl0_584
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f4111,plain,
( spl0_513
<=> ! [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_513])]) ).
fof(f4504,plain,
( spl0_570
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f4580,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_513
| ~ spl0_570 ),
inference(resolution,[],[f4506,f4112]) ).
fof(f4112,plain,
( ! [X54,X4] :
( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| c_in(X4,c_Event_Oused(X54),tc_Message_Omsg) )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f4111]) ).
fof(f4506,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_570 ),
inference(avatar_component_clause,[],[f4504]) ).
fof(f4642,plain,
spl0_583,
inference(avatar_split_clause,[],[f81,f4640]) ).
fof(f4640,plain,
( spl0_583
<=> ! [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_583])]) ).
fof(f81,axiom,
! [X18,X1,X12] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4638,plain,
spl0_582,
inference(avatar_split_clause,[],[f47,f4636]) ).
fof(f4636,plain,
( spl0_582
<=> ! [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_582])]) ).
fof(f47,axiom,
! [X1,X12,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4552,plain,
( spl0_581
| ~ spl0_513
| ~ spl0_540 ),
inference(avatar_split_clause,[],[f4328,f4302,f4111,f4549]) ).
fof(f4549,plain,
( spl0_581
<=> c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f4302,plain,
( spl0_540
<=> c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f4328,plain,
( c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_513
| ~ spl0_540 ),
inference(resolution,[],[f4304,f4112]) ).
fof(f4304,plain,
( c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_540 ),
inference(avatar_component_clause,[],[f4302]) ).
fof(f4547,plain,
spl0_580,
inference(avatar_split_clause,[],[f1353,f4545]) ).
fof(f4545,plain,
( spl0_580
<=> ! [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_580])]) ).
fof(f1353,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f4543,plain,
spl0_579,
inference(avatar_split_clause,[],[f1350,f4541]) ).
fof(f4541,plain,
( spl0_579
<=> ! [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_579])]) ).
fof(f1350,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f4539,plain,
spl0_578,
inference(avatar_split_clause,[],[f1332,f4537]) ).
fof(f4537,plain,
( spl0_578
<=> ! [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_578])]) ).
fof(f1332,axiom,
! [X1,X53,X12,X32] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f4535,plain,
spl0_577,
inference(avatar_split_clause,[],[f1328,f4533]) ).
fof(f4533,plain,
( spl0_577
<=> ! [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_577])]) ).
fof(f1328,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4531,plain,
spl0_576,
inference(avatar_split_clause,[],[f1322,f4529]) ).
fof(f4529,plain,
( spl0_576
<=> ! [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_576])]) ).
fof(f1322,axiom,
! [X1,X53,X12,X32] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f4527,plain,
spl0_575,
inference(avatar_split_clause,[],[f1321,f4525]) ).
fof(f4525,plain,
( spl0_575
<=> ! [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_575])]) ).
fof(f1321,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f4523,plain,
spl0_574,
inference(avatar_split_clause,[],[f1310,f4521]) ).
fof(f4521,plain,
( spl0_574
<=> ! [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_574])]) ).
fof(f1310,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f4519,plain,
spl0_573,
inference(avatar_split_clause,[],[f1309,f4517]) ).
fof(f4517,plain,
( spl0_573
<=> ! [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_573])]) ).
fof(f1309,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f4515,plain,
spl0_572,
inference(avatar_split_clause,[],[f1305,f4513]) ).
fof(f4513,plain,
( spl0_572
<=> ! [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_572])]) ).
fof(f1305,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f4511,plain,
spl0_571,
inference(avatar_split_clause,[],[f1304,f4509]) ).
fof(f4509,plain,
( spl0_571
<=> ! [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_571])]) ).
fof(f1304,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f4507,plain,
( spl0_570
| ~ spl0_519
| ~ spl0_540 ),
inference(avatar_split_clause,[],[f4327,f4302,f4135,f4504]) ).
fof(f4135,plain,
( spl0_519
<=> ! [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_519])]) ).
fof(f4327,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_519
| ~ spl0_540 ),
inference(resolution,[],[f4304,f4136]) ).
fof(f4136,plain,
( ! [X65,X53,X64] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg)
| c_in(X65,c_Message_Oparts(X64),tc_Message_Omsg) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f4135]) ).
fof(f4502,plain,
spl0_569,
inference(avatar_split_clause,[],[f1300,f4500]) ).
fof(f4500,plain,
( spl0_569
<=> ! [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_569])]) ).
fof(f1300,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f4498,plain,
spl0_568,
inference(avatar_split_clause,[],[f1299,f4496]) ).
fof(f4496,plain,
( spl0_568
<=> ! [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_568])]) ).
fof(f1299,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f4494,plain,
spl0_567,
inference(avatar_split_clause,[],[f1295,f4492]) ).
fof(f4492,plain,
( spl0_567
<=> ! [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_567])]) ).
fof(f1295,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f4490,plain,
spl0_566,
inference(avatar_split_clause,[],[f1294,f4488]) ).
fof(f4488,plain,
( spl0_566
<=> ! [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_566])]) ).
fof(f1294,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f4486,plain,
spl0_565,
inference(avatar_split_clause,[],[f1263,f4484]) ).
fof(f4484,plain,
( spl0_565
<=> ! [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_565])]) ).
fof(f1263,axiom,
! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f4482,plain,
spl0_564,
inference(avatar_split_clause,[],[f127,f4480]) ).
fof(f4480,plain,
( spl0_564
<=> ! [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_564])]) ).
fof(f127,axiom,
! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f4478,plain,
spl0_563,
inference(avatar_split_clause,[],[f125,f4476]) ).
fof(f4476,plain,
( spl0_563
<=> ! [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_563])]) ).
fof(f125,axiom,
! [X2,X1,X34,X33] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f4474,plain,
spl0_562,
inference(avatar_split_clause,[],[f80,f4472]) ).
fof(f4472,plain,
( spl0_562
<=> ! [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_562])]) ).
fof(f80,axiom,
! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f4443,plain,
( spl0_404
| ~ spl0_513
| ~ spl0_546 ),
inference(avatar_split_clause,[],[f4396,f4352,f4111,f3569]) ).
fof(f3569,plain,
( spl0_404
<=> c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f4352,plain,
( spl0_546
<=> c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f4396,plain,
( c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_513
| ~ spl0_546 ),
inference(resolution,[],[f4354,f4112]) ).
fof(f4354,plain,
( c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_546 ),
inference(avatar_component_clause,[],[f4352]) ).
fof(f4416,plain,
spl0_561,
inference(avatar_split_clause,[],[f1448,f4414]) ).
fof(f4414,plain,
( spl0_561
<=> ! [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_561])]) ).
fof(f1448,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/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__privateKey_0) ).
fof(f4412,plain,
spl0_560,
inference(avatar_split_clause,[],[f1405,f4410]) ).
fof(f4410,plain,
( spl0_560
<=> ! [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_560])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).
fof(f4408,plain,
spl0_559,
inference(avatar_split_clause,[],[f1404,f4406]) ).
fof(f4406,plain,
( spl0_559
<=> ! [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_559])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
fof(f4404,plain,
spl0_558,
inference(avatar_split_clause,[],[f1357,f4402]) ).
fof(f4402,plain,
( spl0_558
<=> ! [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_558])]) ).
fof(f1357,axiom,
! [X3,X0] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f4400,plain,
spl0_557,
inference(avatar_split_clause,[],[f1356,f4398]) ).
fof(f4398,plain,
( spl0_557
<=> ! [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_557])]) ).
fof(f1356,axiom,
! [X3,X0] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f4395,plain,
spl0_556,
inference(avatar_split_clause,[],[f1336,f4393]) ).
fof(f4393,plain,
( spl0_556
<=> ! [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_556])]) ).
fof(f1336,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f4391,plain,
spl0_555,
inference(avatar_split_clause,[],[f1284,f4389]) ).
fof(f4389,plain,
( spl0_555
<=> ! [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_555])]) ).
fof(f1284,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f4387,plain,
spl0_554,
inference(avatar_split_clause,[],[f1283,f4385]) ).
fof(f4385,plain,
( spl0_554
<=> ! [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_554])]) ).
fof(f1283,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f4383,plain,
spl0_553,
inference(avatar_split_clause,[],[f1178,f4381]) ).
fof(f4381,plain,
( spl0_553
<=> ! [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_553])]) ).
fof(f1178,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f4379,plain,
spl0_552,
inference(avatar_split_clause,[],[f1177,f4377]) ).
fof(f4377,plain,
( spl0_552
<=> ! [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_552])]) ).
fof(f1177,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f4375,plain,
spl0_551,
inference(avatar_split_clause,[],[f119,f4373]) ).
fof(f4373,plain,
( spl0_551
<=> ! [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_551])]) ).
fof(f119,axiom,
! [X28,X1,X5] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f4371,plain,
spl0_550,
inference(avatar_split_clause,[],[f99,f4369]) ).
fof(f4369,plain,
( spl0_550
<=> ! [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_550])]) ).
fof(f99,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f4367,plain,
spl0_549,
inference(avatar_split_clause,[],[f96,f4365]) ).
fof(f4365,plain,
( spl0_549
<=> ! [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_549])]) ).
fof(f96,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f4363,plain,
spl0_548,
inference(avatar_split_clause,[],[f59,f4361]) ).
fof(f4361,plain,
( spl0_548
<=> ! [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_548])]) ).
fof(f59,axiom,
! [X0,X1,X26,X12] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f4359,plain,
spl0_547,
inference(avatar_split_clause,[],[f48,f4357]) ).
fof(f4357,plain,
( spl0_547
<=> ! [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_547])]) ).
fof(f48,axiom,
! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f4355,plain,
( spl0_546
| ~ spl0_520
| ~ spl0_540 ),
inference(avatar_split_clause,[],[f4326,f4302,f4139,f4352]) ).
fof(f4139,plain,
( spl0_520
<=> ! [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_520])]) ).
fof(f4326,plain,
( c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_520
| ~ spl0_540 ),
inference(resolution,[],[f4304,f4140]) ).
fof(f4140,plain,
( ! [X65,X53,X64] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f4139]) ).
fof(f4350,plain,
spl0_545,
inference(avatar_split_clause,[],[f43,f4348]) ).
fof(f4348,plain,
( spl0_545
<=> ! [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_545])]) ).
fof(f43,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f4346,plain,
spl0_544,
inference(avatar_split_clause,[],[f27,f4344]) ).
fof(f4344,plain,
( spl0_544
<=> ! [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_544])]) ).
fof(f27,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f4317,plain,
spl0_543,
inference(avatar_split_clause,[],[f1290,f4315]) ).
fof(f4315,plain,
( spl0_543
<=> ! [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_543])]) ).
fof(f1290,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f4313,plain,
spl0_542,
inference(avatar_split_clause,[],[f1200,f4311]) ).
fof(f4311,plain,
( spl0_542
<=> ! [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_542])]) ).
fof(f1200,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f4309,plain,
spl0_541,
inference(avatar_split_clause,[],[f1199,f4307]) ).
fof(f4307,plain,
( spl0_541
<=> ! [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_541])]) ).
fof(f1199,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f4305,plain,
( spl0_540
| ~ spl0_62
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f4251,f4143,f1816,f4302]) ).
fof(f4143,plain,
( spl0_521
<=> ! [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_521])]) ).
fof(f4251,plain,
( c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_62
| ~ spl0_521 ),
inference(resolution,[],[f4144,f1818]) ).
fof(f1818,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f4144,plain,
( ! [X63,X53,X64] :
( ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oparts(X64),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) )
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f4143]) ).
fof(f4300,plain,
spl0_539,
inference(avatar_split_clause,[],[f1195,f4298]) ).
fof(f4298,plain,
( spl0_539
<=> ! [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_539])]) ).
fof(f1195,axiom,
! [X1,X19,X20] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f4296,plain,
spl0_538,
inference(avatar_split_clause,[],[f1194,f4294]) ).
fof(f4294,plain,
( spl0_538
<=> ! [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_538])]) ).
fof(f1194,axiom,
! [X1,X19,X20] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f4292,plain,
spl0_537,
inference(avatar_split_clause,[],[f1193,f4290]) ).
fof(f4290,plain,
( spl0_537
<=> ! [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_537])]) ).
fof(f1193,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f4288,plain,
spl0_536,
inference(avatar_split_clause,[],[f1192,f4286]) ).
fof(f4286,plain,
( spl0_536
<=> ! [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_536])]) ).
fof(f1192,axiom,
! [X1,X12] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f4284,plain,
spl0_535,
inference(avatar_split_clause,[],[f111,f4282]) ).
fof(f4282,plain,
( spl0_535
<=> ! [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_535])]) ).
fof(f111,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4280,plain,
spl0_534,
inference(avatar_split_clause,[],[f108,f4278]) ).
fof(f4278,plain,
( spl0_534
<=> ! [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_534])]) ).
fof(f108,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4276,plain,
spl0_533,
inference(avatar_split_clause,[],[f104,f4274]) ).
fof(f4274,plain,
( spl0_533
<=> ! [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_533])]) ).
fof(f104,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f4272,plain,
spl0_532,
inference(avatar_split_clause,[],[f100,f4270]) ).
fof(f4270,plain,
( spl0_532
<=> ! [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_532])]) ).
fof(f100,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f4268,plain,
spl0_531,
inference(avatar_split_clause,[],[f97,f4266]) ).
fof(f4266,plain,
( spl0_531
<=> ! [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_531])]) ).
fof(f97,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f4264,plain,
spl0_530,
inference(avatar_split_clause,[],[f31,f4262]) ).
fof(f4262,plain,
( spl0_530
<=> ! [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_530])]) ).
fof(f31,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f4260,plain,
spl0_529,
inference(avatar_split_clause,[],[f30,f4258]) ).
fof(f4258,plain,
( spl0_529
<=> ! [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_529])]) ).
fof(f30,axiom,
! [X1,X19,X20] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f4256,plain,
spl0_528,
inference(avatar_split_clause,[],[f29,f4254]) ).
fof(f4254,plain,
( spl0_528
<=> ! [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_528])]) ).
fof(f29,axiom,
! [X1,X18,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f4246,plain,
( spl0_527
| ~ spl0_4
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f4238,f4111,f1529,f4243]) ).
fof(f4243,plain,
( spl0_527
<=> c_in(v_X,c_Event_Oused(v_evs2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f1529,plain,
( spl0_4
<=> c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4238,plain,
( c_in(v_X,c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_4
| ~ spl0_513 ),
inference(resolution,[],[f4112,f1531]) ).
fof(f1531,plain,
( c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f4226,plain,
( spl0_526
| ~ spl0_304
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f4167,f3971,f3096,f4224]) ).
fof(f4224,plain,
( spl0_526
<=> ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f3096,plain,
( spl0_304
<=> ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f3971,plain,
( spl0_482
<=> ! [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_482])]) ).
fof(f4167,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_304
| ~ spl0_482 ),
inference(resolution,[],[f3972,f3097]) ).
fof(f3097,plain,
( ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg)
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3972,plain,
( ! [X1,X12,X13] :
( c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f4186,plain,
( spl0_525
| ~ spl0_68
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f4175,f3975,f1841,f4184]) ).
fof(f4184,plain,
( spl0_525
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1841,plain,
( spl0_68
<=> ! [X0,X1] : c_in(X0,c_UNIV,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f3975,plain,
( spl0_483
<=> ! [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_483])]) ).
fof(f4175,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_68
| ~ spl0_483 ),
inference(resolution,[],[f3976,f1842]) ).
fof(f1842,plain,
( ! [X0,X1] : c_in(X0,c_UNIV,X1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f3976,plain,
( ! [X1,X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f3975]) ).
fof(f4157,plain,
spl0_524,
inference(avatar_split_clause,[],[f1449,f4155]) ).
fof(f4155,plain,
( spl0_524
<=> ! [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_524])]) ).
fof(f1449,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/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f4153,plain,
spl0_523,
inference(avatar_split_clause,[],[f1446,f4151]) ).
fof(f4151,plain,
( spl0_523
<=> ! [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_523])]) ).
fof(f1446,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/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).
fof(f4149,plain,
spl0_522,
inference(avatar_split_clause,[],[f1445,f4147]) ).
fof(f4147,plain,
( spl0_522
<=> ! [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_522])]) ).
fof(f1445,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/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).
fof(f4145,plain,
spl0_521,
inference(avatar_split_clause,[],[f1441,f4143]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f4141,plain,
spl0_520,
inference(avatar_split_clause,[],[f1401,f4139]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f4137,plain,
spl0_519,
inference(avatar_split_clause,[],[f1400,f4135]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f4133,plain,
spl0_518,
inference(avatar_split_clause,[],[f1396,f4131]) ).
fof(f4131,plain,
( spl0_518
<=> ! [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_518])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f4129,plain,
spl0_517,
inference(avatar_split_clause,[],[f1395,f4127]) ).
fof(f4127,plain,
( spl0_517
<=> ! [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_517])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f4125,plain,
spl0_516,
inference(avatar_split_clause,[],[f1369,f4123]) ).
fof(f4123,plain,
( spl0_516
<=> ! [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_516])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_2) ).
fof(f4121,plain,
spl0_515,
inference(avatar_split_clause,[],[f1368,f4119]) ).
fof(f4119,plain,
( spl0_515
<=> ! [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_515])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_1) ).
fof(f4117,plain,
spl0_514,
inference(avatar_split_clause,[],[f1367,f4115]) ).
fof(f4115,plain,
( spl0_514
<=> ! [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_514])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__1__iff1_0) ).
fof(f4113,plain,
spl0_513,
inference(avatar_split_clause,[],[f1360,f4111]) ).
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/sandbox/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(f4109,plain,
spl0_512,
inference(avatar_split_clause,[],[f1346,f4107]) ).
fof(f4107,plain,
( spl0_512
<=> ! [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_512])]) ).
fof(f1346,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f4105,plain,
( spl0_511
| ~ spl0_454
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f3857,f3793,f3789,f4103]) ).
fof(f4103,plain,
( spl0_511
<=> ! [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_511])]) ).
fof(f3789,plain,
( spl0_454
<=> ! [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_454])]) ).
fof(f3793,plain,
( spl0_455
<=> ! [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_455])]) ).
fof(f3857,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_454
| ~ spl0_455 ),
inference(resolution,[],[f3794,f3790]) ).
fof(f3790,plain,
( ! [X4,X64] :
( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f3789]) ).
fof(f3794,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_455 ),
inference(avatar_component_clause,[],[f3793]) ).
fof(f4101,plain,
spl0_510,
inference(avatar_split_clause,[],[f1344,f4099]) ).
fof(f4099,plain,
( spl0_510
<=> ! [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_510])]) ).
fof(f1344,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f4097,plain,
spl0_509,
inference(avatar_split_clause,[],[f1338,f4095]) ).
fof(f4095,plain,
( spl0_509
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1338,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f4093,plain,
spl0_508,
inference(avatar_split_clause,[],[f1324,f4091]) ).
fof(f4091,plain,
( spl0_508
<=> ! [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_508])]) ).
fof(f1324,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f4089,plain,
spl0_507,
inference(avatar_split_clause,[],[f1323,f4087]) ).
fof(f4087,plain,
( spl0_507
<=> ! [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_507])]) ).
fof(f1323,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f4085,plain,
spl0_506,
inference(avatar_split_clause,[],[f1317,f4083]) ).
fof(f4083,plain,
( spl0_506
<=> ! [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_506])]) ).
fof(f1317,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f4081,plain,
spl0_505,
inference(avatar_split_clause,[],[f1316,f4079]) ).
fof(f4079,plain,
( spl0_505
<=> ! [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_505])]) ).
fof(f1316,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f4077,plain,
spl0_504,
inference(avatar_split_clause,[],[f1313,f4075]) ).
fof(f4075,plain,
( spl0_504
<=> ! [X13,X12,X1] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1313,axiom,
! [X1,X12,X13] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f4073,plain,
spl0_503,
inference(avatar_split_clause,[],[f1308,f4071]) ).
fof(f4071,plain,
( spl0_503
<=> ! [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_503])]) ).
fof(f1308,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f4069,plain,
spl0_502,
inference(avatar_split_clause,[],[f1307,f4067]) ).
fof(f4067,plain,
( spl0_502
<=> ! [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_502])]) ).
fof(f1307,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f4065,plain,
spl0_501,
inference(avatar_split_clause,[],[f1306,f4063]) ).
fof(f4063,plain,
( spl0_501
<=> ! [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_501])]) ).
fof(f1306,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f4053,plain,
spl0_500,
inference(avatar_split_clause,[],[f1303,f4051]) ).
fof(f4051,plain,
( spl0_500
<=> ! [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_500])]) ).
fof(f1303,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f4049,plain,
spl0_499,
inference(avatar_split_clause,[],[f1302,f4047]) ).
fof(f4047,plain,
( spl0_499
<=> ! [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_499])]) ).
fof(f1302,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f4045,plain,
spl0_498,
inference(avatar_split_clause,[],[f1301,f4043]) ).
fof(f4043,plain,
( spl0_498
<=> ! [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_498])]) ).
fof(f1301,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f4041,plain,
spl0_497,
inference(avatar_split_clause,[],[f1298,f4039]) ).
fof(f4039,plain,
( spl0_497
<=> ! [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_497])]) ).
fof(f1298,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f4037,plain,
spl0_496,
inference(avatar_split_clause,[],[f1297,f4035]) ).
fof(f4035,plain,
( spl0_496
<=> ! [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_496])]) ).
fof(f1297,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f4033,plain,
spl0_495,
inference(avatar_split_clause,[],[f1296,f4031]) ).
fof(f4031,plain,
( spl0_495
<=> ! [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_495])]) ).
fof(f1296,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f4029,plain,
spl0_494,
inference(avatar_split_clause,[],[f1293,f4027]) ).
fof(f4027,plain,
( spl0_494
<=> ! [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_494])]) ).
fof(f1293,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f4025,plain,
spl0_493,
inference(avatar_split_clause,[],[f1292,f4023]) ).
fof(f4023,plain,
( spl0_493
<=> ! [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_493])]) ).
fof(f1292,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f4021,plain,
spl0_492,
inference(avatar_split_clause,[],[f1291,f4019]) ).
fof(f4019,plain,
( spl0_492
<=> ! [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_492])]) ).
fof(f1291,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f4017,plain,
spl0_491,
inference(avatar_split_clause,[],[f1247,f4015]) ).
fof(f4015,plain,
( spl0_491
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f1247,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f4005,plain,
spl0_490,
inference(avatar_split_clause,[],[f1241,f4003]) ).
fof(f4003,plain,
( spl0_490
<=> ! [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_490])]) ).
fof(f1241,axiom,
! [X41,X48,X49,X1,X18] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f4001,plain,
spl0_489,
inference(avatar_split_clause,[],[f1240,f3999]) ).
fof(f3999,plain,
( spl0_489
<=> ! [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_489])]) ).
fof(f1240,axiom,
! [X41,X48,X49,X18,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3997,plain,
spl0_488,
inference(avatar_split_clause,[],[f1225,f3995]) ).
fof(f3995,plain,
( spl0_488
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1225,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3993,plain,
spl0_487,
inference(avatar_split_clause,[],[f1171,f3991]) ).
fof(f3991,plain,
( spl0_487
<=> ! [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_487])]) ).
fof(f1171,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3989,plain,
spl0_486,
inference(avatar_split_clause,[],[f1169,f3987]) ).
fof(f3987,plain,
( spl0_486
<=> ! [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_486])]) ).
fof(f1169,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3985,plain,
spl0_485,
inference(avatar_split_clause,[],[f1167,f3983]) ).
fof(f3983,plain,
( spl0_485
<=> ! [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_485])]) ).
fof(f1167,axiom,
! [X2,X18,X1,X27] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3981,plain,
spl0_484,
inference(avatar_split_clause,[],[f120,f3979]) ).
fof(f3979,plain,
( spl0_484
<=> ! [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_484])]) ).
fof(f120,axiom,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3977,plain,
spl0_483,
inference(avatar_split_clause,[],[f110,f3975]) ).
fof(f110,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3973,plain,
spl0_482,
inference(avatar_split_clause,[],[f109,f3971]) ).
fof(f109,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3969,plain,
spl0_481,
inference(avatar_split_clause,[],[f49,f3967]) ).
fof(f3967,plain,
( spl0_481
<=> ! [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_481])]) ).
fof(f49,axiom,
! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3961,plain,
spl0_480,
inference(avatar_split_clause,[],[f2,f3959]) ).
fof(f3959,plain,
( spl0_480
<=> ! [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_480])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3957,plain,
spl0_479,
inference(avatar_split_clause,[],[f1,f3955]) ).
fof(f3955,plain,
( spl0_479
<=> ! [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_479])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3943,plain,
( spl0_478
| ~ spl0_64
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f3920,f3836,f1825,f3940]) ).
fof(f3940,plain,
( spl0_478
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1825,plain,
( spl0_64
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f3836,plain,
( spl0_459
<=> ! [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_459])]) ).
fof(f3920,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_64
| ~ spl0_459 ),
inference(resolution,[],[f3837,f1826]) ).
fof(f1826,plain,
( ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f3837,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_459 ),
inference(avatar_component_clause,[],[f3836]) ).
fof(f3933,plain,
spl0_477,
inference(avatar_split_clause,[],[f1436,f3931]) ).
fof(f3931,plain,
( spl0_477
<=> ! [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_477])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__synthD__dest_0) ).
fof(f3929,plain,
spl0_476,
inference(avatar_split_clause,[],[f1432,f3927]) ).
fof(f3927,plain,
( spl0_476
<=> ! [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_476])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OHash_0) ).
fof(f3919,plain,
spl0_475,
inference(avatar_split_clause,[],[f1429,f3917]) ).
fof(f3917,plain,
( spl0_475
<=> ! [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_475])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__partsD__dest_0) ).
fof(f3915,plain,
spl0_474,
inference(avatar_split_clause,[],[f1416,f3913]) ).
fof(f3913,plain,
( spl0_474
<=> ! [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_474])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f3911,plain,
spl0_473,
inference(avatar_split_clause,[],[f1407,f3909]) ).
fof(f3909,plain,
( spl0_473
<=> ! [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_473])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_ONonce__synth_0) ).
fof(f3907,plain,
spl0_472,
inference(avatar_split_clause,[],[f1394,f3905]) ).
fof(f3905,plain,
( spl0_472
<=> ! [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_472])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f3903,plain,
spl0_471,
inference(avatar_split_clause,[],[f1334,f3901]) ).
fof(f3901,plain,
( spl0_471
<=> ! [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_471])]) ).
fof(f1334,axiom,
! [X18,X1,X27,X13] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3899,plain,
spl0_470,
inference(avatar_split_clause,[],[f1327,f3897]) ).
fof(f3897,plain,
( spl0_470
<=> ! [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_470])]) ).
fof(f1327,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3895,plain,
spl0_469,
inference(avatar_split_clause,[],[f1326,f3893]) ).
fof(f3893,plain,
( spl0_469
<=> ! [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_469])]) ).
fof(f1326,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3891,plain,
spl0_468,
inference(avatar_split_clause,[],[f1320,f3889]) ).
fof(f3889,plain,
( spl0_468
<=> ! [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_468])]) ).
fof(f1320,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3887,plain,
spl0_467,
inference(avatar_split_clause,[],[f1319,f3885]) ).
fof(f3885,plain,
( spl0_467
<=> ! [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_467])]) ).
fof(f1319,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3883,plain,
spl0_466,
inference(avatar_split_clause,[],[f1312,f3881]) ).
fof(f3881,plain,
( spl0_466
<=> ! [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_466])]) ).
fof(f1312,axiom,
! [X1,X4,X12] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3879,plain,
( spl0_465
| ~ spl0_323
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f3823,f3713,f3174,f3877]) ).
fof(f3877,plain,
( spl0_465
<=> ! [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_465])]) ).
fof(f3174,plain,
( spl0_323
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f3713,plain,
( spl0_435
<=> ! [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_435])]) ).
fof(f3823,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_323
| ~ spl0_435 ),
inference(resolution,[],[f3714,f3175]) ).
fof(f3175,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f3714,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_435 ),
inference(avatar_component_clause,[],[f3713]) ).
fof(f3875,plain,
spl0_464,
inference(avatar_split_clause,[],[f1311,f3873]) ).
fof(f3873,plain,
( spl0_464
<=> ! [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_464])]) ).
fof(f1311,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3871,plain,
spl0_463,
inference(avatar_split_clause,[],[f1265,f3869]) ).
fof(f3869,plain,
( spl0_463
<=> ! [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_463])]) ).
fof(f1265,axiom,
! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3867,plain,
spl0_462,
inference(avatar_split_clause,[],[f1264,f3865]) ).
fof(f3865,plain,
( spl0_462
<=> ! [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_462])]) ).
fof(f1264,axiom,
! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3863,plain,
spl0_461,
inference(avatar_split_clause,[],[f1160,f3861]) ).
fof(f3861,plain,
( spl0_461
<=> ! [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_461])]) ).
fof(f1160,axiom,
! [X40,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3854,plain,
( spl0_460
| ~ spl0_322
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f3822,f3713,f3170,f3852]) ).
fof(f3852,plain,
( spl0_460
<=> ! [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_460])]) ).
fof(f3170,plain,
( spl0_322
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f3822,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_322
| ~ spl0_435 ),
inference(resolution,[],[f3714,f3171]) ).
fof(f3171,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f3838,plain,
( spl0_459
| ~ spl0_329
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f3819,f3709,f3198,f3836]) ).
fof(f3198,plain,
( spl0_329
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f3709,plain,
( spl0_434
<=> ! [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_434])]) ).
fof(f3819,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_329
| ~ spl0_434 ),
inference(resolution,[],[f3710,f3199]) ).
fof(f3199,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint)
| c_0 = X15 )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f3710,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_434 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f3807,plain,
spl0_458,
inference(avatar_split_clause,[],[f1503,f3805]) ).
fof(f3805,plain,
( spl0_458
<=> ! [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_458])]) ).
fof(f1503,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,[],[f1386,f1399]) ).
fof(f1386,axiom,
! [X65,X63,X53,X66] : c_Message_OHPair(X53,X65) != c_Message_Omsg_OCrypt(X63,X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__6__iff1_0) ).
fof(f3803,plain,
spl0_457,
inference(avatar_split_clause,[],[f1462,f3801]) ).
fof(f3801,plain,
( spl0_457
<=> ! [X4,X27,X12,X78] :
( X12 = X78
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X78) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1462,axiom,
! [X78,X27,X4,X12] :
( X12 = X78
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X78) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__inject__iff1_1) ).
fof(f3799,plain,
spl0_456,
inference(avatar_split_clause,[],[f1461,f3797]) ).
fof(f3797,plain,
( spl0_456
<=> ! [X4,X78,X12,X27] :
( X4 = X27
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X78) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1461,axiom,
! [X78,X27,X4,X12] :
( X4 = X27
| c_Public_OpublicKey(X27,X12) != c_Public_OpublicKey(X4,X78) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__inject__iff1_0) ).
fof(f3795,plain,
spl0_455,
inference(avatar_split_clause,[],[f1450,f3793]) ).
fof(f1450,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/sandbox/benchmark/theBenchmark.p',cls_Public_Oanalz__spies__pubK_0) ).
fof(f3791,plain,
spl0_454,
inference(avatar_split_clause,[],[f1440,f3789]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f3787,plain,
spl0_453,
inference(avatar_split_clause,[],[f1426,f3785]) ).
fof(f3785,plain,
( spl0_453
<=> ! [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_453])]) ).
fof(f1426,axiom,
! [X70,X59,X57,X69] :
( X57 = X59
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_1) ).
fof(f3783,plain,
spl0_452,
inference(avatar_split_clause,[],[f1425,f3781]) ).
fof(f3781,plain,
( spl0_452
<=> ! [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_452])]) ).
fof(f1425,axiom,
! [X70,X59,X57,X69] :
( X69 = X70
| c_Message_Omsg_OCrypt(X70,X57) != c_Message_Omsg_OCrypt(X69,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_0) ).
fof(f3779,plain,
spl0_451,
inference(avatar_split_clause,[],[f1424,f3777]) ).
fof(f3777,plain,
( spl0_451
<=> ! [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_451])]) ).
fof(f1424,axiom,
! [X72,X73,X71,X74] :
( X72 = X74
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_1) ).
fof(f3775,plain,
spl0_450,
inference(avatar_split_clause,[],[f1423,f3773]) ).
fof(f3773,plain,
( spl0_450
<=> ! [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_450])]) ).
fof(f1423,axiom,
! [X72,X73,X71,X74] :
( X71 = X73
| c_Message_Omsg_OMPair(X71,X72) != c_Message_Omsg_OMPair(X73,X74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_0) ).
fof(f3771,plain,
spl0_449,
inference(avatar_split_clause,[],[f1373,f3769]) ).
fof(f3769,plain,
( spl0_449
<=> ! [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_449])]) ).
fof(f1373,axiom,
! [X58,X59,X57,X60] :
( X57 = X59
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__3__iff1_1) ).
fof(f3767,plain,
spl0_448,
inference(avatar_split_clause,[],[f1372,f3765]) ).
fof(f3765,plain,
( spl0_448
<=> ! [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_448])]) ).
fof(f1372,axiom,
! [X58,X59,X57,X60] :
( X58 = X60
| c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_ONotes(X60,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__3__iff1_0) ).
fof(f3763,plain,
spl0_447,
inference(avatar_split_clause,[],[f1371,f3761]) ).
fof(f3761,plain,
( spl0_447
<=> ! [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_447])]) ).
fof(f1371,axiom,
! [X58,X59,X57,X60] :
( X57 = X59
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__2__iff1_1) ).
fof(f3759,plain,
spl0_446,
inference(avatar_split_clause,[],[f1370,f3757]) ).
fof(f3757,plain,
( spl0_446
<=> ! [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_446])]) ).
fof(f1370,axiom,
! [X58,X59,X57,X60] :
( X58 = X60
| c_Event_Oevent_OGets(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Oinject__2__iff1_0) ).
fof(f3755,plain,
spl0_445,
inference(avatar_split_clause,[],[f1285,f3753]) ).
fof(f3753,plain,
( spl0_445
<=> ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1285,axiom,
! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3751,plain,
spl0_444,
inference(avatar_split_clause,[],[f1260,f3749]) ).
fof(f3749,plain,
( spl0_444
<=> ! [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_444])]) ).
fof(f1260,axiom,
! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3747,plain,
spl0_443,
inference(avatar_split_clause,[],[f1259,f3745]) ).
fof(f3745,plain,
( spl0_443
<=> ! [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_443])]) ).
fof(f1259,axiom,
! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3743,plain,
spl0_442,
inference(avatar_split_clause,[],[f1258,f3741]) ).
fof(f3741,plain,
( spl0_442
<=> ! [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_442])]) ).
fof(f1258,axiom,
! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3739,plain,
spl0_441,
inference(avatar_split_clause,[],[f1257,f3737]) ).
fof(f3737,plain,
( spl0_441
<=> ! [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_441])]) ).
fof(f1257,axiom,
! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3735,plain,
spl0_440,
inference(avatar_split_clause,[],[f1246,f3733]) ).
fof(f3733,plain,
( spl0_440
<=> ! [X25,X1,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1246,axiom,
! [X1,X25,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3731,plain,
spl0_439,
inference(avatar_split_clause,[],[f1235,f3729]) ).
fof(f3729,plain,
( spl0_439
<=> ! [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_439])]) ).
fof(f1235,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3727,plain,
spl0_438,
inference(avatar_split_clause,[],[f1231,f3725]) ).
fof(f3725,plain,
( spl0_438
<=> ! [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_438])]) ).
fof(f1231,axiom,
! [X46,X47,X44,X45] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3723,plain,
spl0_437,
inference(avatar_split_clause,[],[f1230,f3721]) ).
fof(f3721,plain,
( spl0_437
<=> ! [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_437])]) ).
fof(f1230,axiom,
! [X46,X47,X44,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3719,plain,
spl0_436,
inference(avatar_split_clause,[],[f1209,f3717]) ).
fof(f3717,plain,
( spl0_436
<=> ! [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_436])]) ).
fof(f1209,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3715,plain,
spl0_435,
inference(avatar_split_clause,[],[f1208,f3713]) ).
fof(f1208,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3711,plain,
spl0_434,
inference(avatar_split_clause,[],[f1205,f3709]) ).
fof(f1205,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3707,plain,
spl0_433,
inference(avatar_split_clause,[],[f1204,f3705]) ).
fof(f3705,plain,
( spl0_433
<=> ! [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_433])]) ).
fof(f1204,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3703,plain,
spl0_432,
inference(avatar_split_clause,[],[f1181,f3701]) ).
fof(f3701,plain,
( spl0_432
<=> ! [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_432])]) ).
fof(f1181,axiom,
! [X2,X1,X9,X7,X16] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f3699,plain,
spl0_431,
inference(avatar_split_clause,[],[f1180,f3697]) ).
fof(f3697,plain,
( spl0_431
<=> ! [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_431])]) ).
fof(f1180,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
fof(f3695,plain,
spl0_430,
inference(avatar_split_clause,[],[f1179,f3693]) ).
fof(f3693,plain,
( spl0_430
<=> ! [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_430])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).
fof(f3691,plain,
spl0_429,
inference(avatar_split_clause,[],[f1166,f3689]) ).
fof(f3689,plain,
( spl0_429
<=> ! [X41,X1,X18] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f1166,axiom,
! [X41,X18,X1] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3687,plain,
spl0_428,
inference(avatar_split_clause,[],[f1163,f3685]) ).
fof(f3685,plain,
( spl0_428
<=> ! [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_428])]) ).
fof(f1163,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3683,plain,
spl0_427,
inference(avatar_split_clause,[],[f1162,f3681]) ).
fof(f3681,plain,
( spl0_427
<=> ! [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_427])]) ).
fof(f1162,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3679,plain,
spl0_426,
inference(avatar_split_clause,[],[f105,f3677]) ).
fof(f3677,plain,
( spl0_426
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f105,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3675,plain,
spl0_425,
inference(avatar_split_clause,[],[f103,f3673]) ).
fof(f3673,plain,
( spl0_425
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f103,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3671,plain,
spl0_424,
inference(avatar_split_clause,[],[f102,f3669]) ).
fof(f3669,plain,
( spl0_424
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f102,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3665,plain,
( spl0_423
| ~ spl0_337
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f3661,f3594,f3230,f3663]) ).
fof(f3663,plain,
( spl0_423
<=> ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_OinitState(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f3230,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f3594,plain,
( spl0_410
<=> ! [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_410])]) ).
fof(f3661,plain,
( ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_OinitState(X1),tc_Message_Omsg)
| ~ spl0_337
| ~ spl0_410 ),
inference(resolution,[],[f3595,f3231]) ).
fof(f3231,plain,
( ! [X7,X13] : ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oparts(c_Event_OinitState(X13)),tc_Message_Omsg)
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f3595,plain,
( ! [X53,X64] :
( c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg)
| ~ c_in(X53,X64,tc_Message_Omsg) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f3594]) ).
fof(f3644,plain,
( spl0_422
| ~ spl0_337
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f3488,f3481,f3230,f3642]) ).
fof(f3642,plain,
( spl0_422
<=> ! [X0] : ~ c_in(v_NB,c_Message_Oparts(c_Event_OinitState(X0)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f3481,plain,
( spl0_385
<=> v_NB = c_Message_Omsg_ONonce(v_NBa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f3488,plain,
( ! [X0] : ~ c_in(v_NB,c_Message_Oparts(c_Event_OinitState(X0)),tc_Message_Omsg)
| ~ spl0_337
| ~ spl0_385 ),
inference(superposition,[],[f3231,f3483]) ).
fof(f3483,plain,
( v_NB = c_Message_Omsg_ONonce(v_NBa)
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f3481]) ).
fof(f3640,plain,
spl0_421,
inference(avatar_split_clause,[],[f1501,f3638]) ).
fof(f3638,plain,
( spl0_421
<=> ! [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_421])]) ).
fof(f1501,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/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0) ).
fof(f3636,plain,
spl0_420,
inference(avatar_split_clause,[],[f1498,f3634]) ).
fof(f3634,plain,
( spl0_420
<=> ! [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_420])]) ).
fof(f1498,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/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__5__iff1_0) ).
fof(f3632,plain,
spl0_419,
inference(avatar_split_clause,[],[f1497,f3630]) ).
fof(f3630,plain,
( spl0_419
<=> ! [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_419])]) ).
fof(f1497,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/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__2__iff1_0) ).
fof(f3628,plain,
spl0_418,
inference(avatar_split_clause,[],[f1495,f3626]) ).
fof(f3626,plain,
( spl0_418
<=> ! [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_418])]) ).
fof(f1495,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,[],[f1392,f1399]) ).
fof(f1392,axiom,
! [X65,X7,X53] : c_Message_OHPair(X53,X65) != c_Message_Omsg_ONumber(X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_ANumber_AN_A_61_61_62_AR_0) ).
fof(f3624,plain,
spl0_417,
inference(avatar_split_clause,[],[f1493,f3622]) ).
fof(f3622,plain,
( spl0_417
<=> ! [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_417])]) ).
fof(f1493,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,[],[f1390,f1399]) ).
fof(f1390,axiom,
! [X65,X63,X53] : c_Message_Omsg_OKey(X63) != c_Message_OHPair(X53,X65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AKey_AK_A_61_61_62_AR_0) ).
fof(f3620,plain,
spl0_416,
inference(avatar_split_clause,[],[f1472,f3618]) ).
fof(f3618,plain,
( spl0_416
<=> ! [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_416])]) ).
fof(f1472,axiom,
! [X63] :
( ~ c_in(X63,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OsymKeys__invKey__iff__iff2_0) ).
fof(f3616,plain,
spl0_415,
inference(avatar_split_clause,[],[f1471,f3614]) ).
fof(f3614,plain,
( spl0_415
<=> ! [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_415])]) ).
fof(f1471,axiom,
! [X63] :
( c_in(X63,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X63),c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OsymKeys__invKey__iff__iff1_0) ).
fof(f3612,plain,
spl0_414,
inference(avatar_split_clause,[],[f1470,f3610]) ).
fof(f3610,plain,
( spl0_414
<=> ! [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_414])]) ).
fof(f1470,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/sandbox/benchmark/theBenchmark.p',cls_Public_Ospies__pubK_0) ).
fof(f3608,plain,
spl0_413,
inference(avatar_split_clause,[],[f1458,f3606]) ).
fof(f3606,plain,
( spl0_413
<=> ! [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_413])]) ).
fof(f1458,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/sandbox/benchmark/theBenchmark.p',cls_Public_OprivateKey__into__used_0) ).
fof(f3604,plain,
spl0_412,
inference(avatar_split_clause,[],[f1455,f3602]) ).
fof(f3602,plain,
( spl0_412
<=> ! [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_412])]) ).
fof(f1455,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/sandbox/benchmark/theBenchmark.p',cls_Public_OpriK__in__initState_0) ).
fof(f3600,plain,
spl0_411,
inference(avatar_split_clause,[],[f1433,f3598]) ).
fof(f3598,plain,
( spl0_411
<=> ! [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_411])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f3596,plain,
spl0_410,
inference(avatar_split_clause,[],[f1427,f3594]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3592,plain,
spl0_409,
inference(avatar_split_clause,[],[f1415,f3590]) ).
fof(f3590,plain,
( spl0_409
<=> ! [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_409])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3588,plain,
spl0_408,
inference(avatar_split_clause,[],[f1349,f3586]) ).
fof(f3586,plain,
( spl0_408
<=> ! [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_408])]) ).
fof(f1349,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3584,plain,
spl0_407,
inference(avatar_split_clause,[],[f1348,f3582]) ).
fof(f3582,plain,
( spl0_407
<=> ! [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_407])]) ).
fof(f1348,axiom,
! [X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3580,plain,
spl0_406,
inference(avatar_split_clause,[],[f1345,f3578]) ).
fof(f3578,plain,
( spl0_406
<=> ! [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_406])]) ).
fof(f1345,axiom,
! [X2,X18,X1,X27] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f3576,plain,
spl0_405,
inference(avatar_split_clause,[],[f1330,f3574]) ).
fof(f3574,plain,
( spl0_405
<=> ! [X13,X12,X1] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1330,axiom,
! [X1,X12,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3572,plain,
( ~ spl0_404
| spl0_3
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f3485,f3481,f1524,f3569]) ).
fof(f1524,plain,
( spl0_3
<=> c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3485,plain,
( ~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
| spl0_3
| ~ spl0_385 ),
inference(superposition,[],[f1526,f3483]) ).
fof(f1526,plain,
( ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f3567,plain,
spl0_403,
inference(avatar_split_clause,[],[f1329,f3565]) ).
fof(f3565,plain,
( spl0_403
<=> ! [X13,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1329,axiom,
! [X1,X12,X13] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3563,plain,
spl0_402,
inference(avatar_split_clause,[],[f1267,f3561]) ).
fof(f3561,plain,
( spl0_402
<=> ! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1267,axiom,
! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3559,plain,
spl0_401,
inference(avatar_split_clause,[],[f1266,f3557]) ).
fof(f3557,plain,
( spl0_401
<=> ! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1266,axiom,
! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3555,plain,
spl0_400,
inference(avatar_split_clause,[],[f1248,f3553]) ).
fof(f3553,plain,
( spl0_400
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1248,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3551,plain,
spl0_399,
inference(avatar_split_clause,[],[f1232,f3549]) ).
fof(f3549,plain,
( spl0_399
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1232,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3547,plain,
spl0_398,
inference(avatar_split_clause,[],[f1228,f3545]) ).
fof(f3545,plain,
( spl0_398
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1228,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff1_0) ).
fof(f3543,plain,
spl0_397,
inference(avatar_split_clause,[],[f1223,f3541]) ).
fof(f3541,plain,
( spl0_397
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1223,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(f3539,plain,
spl0_396,
inference(avatar_split_clause,[],[f1222,f3537]) ).
fof(f3537,plain,
( spl0_396
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1222,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_0) ).
fof(f3535,plain,
spl0_395,
inference(avatar_split_clause,[],[f1186,f3533]) ).
fof(f3533,plain,
( spl0_395
<=> ! [X5,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1186,axiom,
! [X1,X5,X12] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).
fof(f3531,plain,
spl0_394,
inference(avatar_split_clause,[],[f1175,f3529]) ).
fof(f3529,plain,
( spl0_394
<=> ! [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_394])]) ).
fof(f1175,axiom,
! [X2,X18,X1,X16] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3527,plain,
spl0_393,
inference(avatar_split_clause,[],[f1172,f3525]) ).
fof(f3525,plain,
( spl0_393
<=> ! [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_393])]) ).
fof(f1172,axiom,
! [X2,X1,X9,X7] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3523,plain,
spl0_392,
inference(avatar_split_clause,[],[f63,f3521]) ).
fof(f3521,plain,
( spl0_392
<=> ! [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_392])]) ).
fof(f63,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3519,plain,
spl0_391,
inference(avatar_split_clause,[],[f62,f3517]) ).
fof(f3517,plain,
( spl0_391
<=> ! [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_391])]) ).
fof(f62,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3515,plain,
spl0_390,
inference(avatar_split_clause,[],[f38,f3513]) ).
fof(f3513,plain,
( spl0_390
<=> ! [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_390])]) ).
fof(f38,axiom,
! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3511,plain,
spl0_389,
inference(avatar_split_clause,[],[f35,f3509]) ).
fof(f3509,plain,
( spl0_389
<=> ! [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_389])]) ).
fof(f35,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3507,plain,
spl0_388,
inference(avatar_split_clause,[],[f34,f3505]) ).
fof(f3505,plain,
( spl0_388
<=> ! [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_388])]) ).
fof(f34,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3503,plain,
( spl0_379
| ~ spl0_377
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3502,f3432,f3428,f3438]) ).
fof(f3432,plain,
( spl0_378
<=> v_x = v_X ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f3502,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377
| ~ spl0_378 ),
inference(forward_demodulation,[],[f3430,f3434]) ).
fof(f3434,plain,
( v_x = v_X
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3432]) ).
fof(f3501,plain,
( spl0_387
| ~ spl0_377
| ~ spl0_378
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f3496,f3452,f3432,f3428,f3498]) ).
fof(f3498,plain,
( spl0_387
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f3452,plain,
( spl0_381
<=> v_A = v_Aa ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f3496,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377
| ~ spl0_378
| ~ spl0_381 ),
inference(forward_demodulation,[],[f3495,f3434]) ).
fof(f3495,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377
| ~ spl0_381 ),
inference(forward_demodulation,[],[f3430,f3454]) ).
fof(f3454,plain,
( v_A = v_Aa
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f3493,plain,
( spl0_377
| spl0_386 ),
inference(avatar_split_clause,[],[f1490,f3490,f3428]) ).
fof(f3490,plain,
( spl0_386
<=> v_NA = c_Message_Omsg_ONonce(v_NAa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f1490,axiom,
( v_NA = c_Message_Omsg_ONonce(v_NAa)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3484,plain,
( spl0_377
| spl0_385 ),
inference(avatar_split_clause,[],[f1481,f3481,f3428]) ).
fof(f1481,axiom,
( v_NB = c_Message_Omsg_ONonce(v_NBa)
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f3479,plain,
( ~ spl0_384
| spl0_377
| ~ spl0_378
| ~ spl0_380
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f3470,f3452,f3443,f3432,f3428,f3476]) ).
fof(f3476,plain,
( spl0_384
<=> c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f3443,plain,
( spl0_380
<=> v_B = v_Ba ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f3470,plain,
( ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| spl0_377
| ~ spl0_378
| ~ spl0_380
| ~ spl0_381 ),
inference(forward_demodulation,[],[f3469,f3434]) ).
fof(f3469,plain,
( ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| spl0_377
| ~ spl0_380
| ~ spl0_381 ),
inference(forward_demodulation,[],[f3468,f3454]) ).
fof(f3468,plain,
( ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| spl0_377
| ~ spl0_380 ),
inference(forward_demodulation,[],[f3429,f3445]) ).
fof(f3445,plain,
( v_B = v_Ba
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f3443]) ).
fof(f3429,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| spl0_377 ),
inference(avatar_component_clause,[],[f3428]) ).
fof(f3467,plain,
( spl0_383
| ~ spl0_377
| ~ spl0_378
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f3457,f3443,f3432,f3428,f3464]) ).
fof(f3464,plain,
( spl0_383
<=> c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f3457,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377
| ~ spl0_378
| ~ spl0_380 ),
inference(forward_demodulation,[],[f3456,f3434]) ).
fof(f3456,plain,
( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_377
| ~ spl0_380 ),
inference(forward_demodulation,[],[f3430,f3445]) ).
fof(f3462,plain,
( ~ spl0_382
| spl0_1
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f3450,f3443,f1514,f3459]) ).
fof(f3459,plain,
( spl0_382
<=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1514,plain,
( spl0_1
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3450,plain,
( ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| spl0_1
| ~ spl0_380 ),
inference(superposition,[],[f1516,f3445]) ).
fof(f1516,plain,
( ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| spl0_1 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f3455,plain,
( spl0_377
| spl0_381 ),
inference(avatar_split_clause,[],[f1491,f3452,f3428]) ).
fof(f1491,axiom,
( v_A = v_Aa
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3446,plain,
( spl0_377
| spl0_380 ),
inference(avatar_split_clause,[],[f1483,f3443,f3428]) ).
fof(f1483,axiom,
( v_B = v_Ba
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_15) ).
fof(f3441,plain,
( ~ spl0_379
| spl0_377
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f3436,f3432,f3428,f3438]) ).
fof(f3436,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| spl0_377
| ~ spl0_378 ),
inference(forward_demodulation,[],[f3429,f3434]) ).
fof(f3435,plain,
( spl0_377
| spl0_378 ),
inference(avatar_split_clause,[],[f1478,f3432,f3428]) ).
fof(f1478,axiom,
( v_x = v_X
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3406,plain,
spl0_376,
inference(avatar_split_clause,[],[f1469,f3404]) ).
fof(f3404,plain,
( spl0_376
<=> ! [X0,X3] :
( X0 = X3
| c_Public_OshrK(X0) != c_Public_OshrK(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f1469,axiom,
! [X3,X0] :
( X0 = X3
| c_Public_OshrK(X0) != c_Public_OshrK(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__injective__iff1_0) ).
fof(f3400,plain,
spl0_375,
inference(avatar_split_clause,[],[f1467,f3398]) ).
fof(f3398,plain,
( spl0_375
<=> ! [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_375])]) ).
fof(f1467,axiom,
! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(X12,X54),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__knows_0) ).
fof(f3396,plain,
spl0_374,
inference(avatar_split_clause,[],[f1464,f3394]) ).
fof(f3394,plain,
( spl0_374
<=> ! [X4,X27,X12,X78] : c_Message_OinvKey(c_Public_OpublicKey(X27,X12)) != c_Public_OpublicKey(X4,X78) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f1464,axiom,
! [X78,X27,X4,X12] : c_Message_OinvKey(c_Public_OpublicKey(X27,X12)) != c_Public_OpublicKey(X4,X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__neq__privateKey__iff1_0) ).
fof(f3392,plain,
spl0_373,
inference(avatar_split_clause,[],[f1463,f3390]) ).
fof(f3390,plain,
( spl0_373
<=> ! [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_373])]) ).
fof(f1463,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/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__into__used_0) ).
fof(f3388,plain,
spl0_372,
inference(avatar_split_clause,[],[f1460,f3386]) ).
fof(f3386,plain,
( spl0_372
<=> ! [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_372])]) ).
fof(f1460,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/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__in__initState_0) ).
fof(f3384,plain,
spl0_371,
inference(avatar_split_clause,[],[f1422,f3382]) ).
fof(f3382,plain,
( spl0_371
<=> ! [X57,X59] :
( X57 = X59
| c_Message_Omsg_OHash(X57) != c_Message_Omsg_OHash(X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1422,axiom,
! [X59,X57] :
( X57 = X59
| c_Message_Omsg_OHash(X57) != c_Message_Omsg_OHash(X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__5__iff1_0) ).
fof(f3380,plain,
spl0_370,
inference(avatar_split_clause,[],[f1421,f3378]) ).
fof(f3378,plain,
( spl0_370
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_OKey(X70) != c_Message_Omsg_OKey(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f1421,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_OKey(X70) != c_Message_Omsg_OKey(X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__4__iff1_0) ).
fof(f3376,plain,
spl0_369,
inference(avatar_split_clause,[],[f1420,f3374]) ).
fof(f3374,plain,
( spl0_369
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONonce(X70) != c_Message_Omsg_ONonce(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f1420,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONonce(X70) != c_Message_Omsg_ONonce(X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__3__iff1_0) ).
fof(f3372,plain,
spl0_368,
inference(avatar_split_clause,[],[f1419,f3370]) ).
fof(f3370,plain,
( spl0_368
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONumber(X70) != c_Message_Omsg_ONumber(X69) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f1419,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Omsg_ONumber(X70) != c_Message_Omsg_ONumber(X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__2__iff1_0) ).
fof(f3368,plain,
spl0_367,
inference(avatar_split_clause,[],[f1418,f3366]) ).
fof(f3366,plain,
( spl0_367
<=> ! [X60,X58] :
( X58 = X60
| c_Message_Omsg_OAgent(X60) != c_Message_Omsg_OAgent(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f1418,axiom,
! [X58,X60] :
( X58 = X60
| c_Message_Omsg_OAgent(X60) != c_Message_Omsg_OAgent(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__1__iff1_0) ).
fof(f3364,plain,
spl0_366,
inference(avatar_split_clause,[],[f1414,f3362]) ).
fof(f3362,plain,
( spl0_366
<=> ! [X70,X69] :
( X69 = X70
| c_Message_Oagent_OFriend(X69) != c_Message_Oagent_OFriend(X70) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1414,axiom,
! [X70,X69] :
( X69 = X70
| c_Message_Oagent_OFriend(X69) != c_Message_Oagent_OFriend(X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Oinject__iff1_0) ).
fof(f3360,plain,
( spl0_365
| ~ spl0_323
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f3255,f3198,f3174,f3358]) ).
fof(f3358,plain,
( spl0_365
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f3255,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_323
| ~ spl0_329 ),
inference(resolution,[],[f3199,f3175]) ).
fof(f3356,plain,
spl0_364,
inference(avatar_split_clause,[],[f1363,f3354]) ).
fof(f3354,plain,
( spl0_364
<=> ! [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_364])]) ).
fof(f1363,axiom,
! [X58,X59,X56,X57,X55] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_ONotes(X58,X59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__3__iff1_0) ).
fof(f3352,plain,
spl0_363,
inference(avatar_split_clause,[],[f1361,f3350]) ).
fof(f3350,plain,
( spl0_363
<=> ! [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_363])]) ).
fof(f1361,axiom,
! [X58,X59,X56,X57,X55] : c_Event_Oevent_OSays(X55,X56,X57) != c_Event_Oevent_OGets(X58,X59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__1__iff1_0) ).
fof(f3348,plain,
spl0_362,
inference(avatar_split_clause,[],[f1271,f3346]) ).
fof(f3346,plain,
( spl0_362
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1271,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3344,plain,
spl0_361,
inference(avatar_split_clause,[],[f1256,f3342]) ).
fof(f3342,plain,
( spl0_361
<=> ! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f1256,axiom,
! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3340,plain,
spl0_360,
inference(avatar_split_clause,[],[f1252,f3338]) ).
fof(f3338,plain,
( spl0_360
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f1252,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff1_0) ).
fof(f3336,plain,
spl0_359,
inference(avatar_split_clause,[],[f1244,f3334]) ).
fof(f3334,plain,
( spl0_359
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f1244,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff1_0) ).
fof(f3332,plain,
spl0_358,
inference(avatar_split_clause,[],[f1203,f3330]) ).
fof(f3330,plain,
( spl0_358
<=> ! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f1203,axiom,
! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3328,plain,
spl0_357,
inference(avatar_split_clause,[],[f1161,f3326]) ).
fof(f3326,plain,
( spl0_357
<=> ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f1161,axiom,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3324,plain,
spl0_356,
inference(avatar_split_clause,[],[f252,f3322]) ).
fof(f3322,plain,
( spl0_356
<=> ! [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_356])]) ).
fof(f252,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3320,plain,
spl0_355,
inference(avatar_split_clause,[],[f246,f3318]) ).
fof(f3318,plain,
( spl0_355
<=> ! [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_355])]) ).
fof(f246,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3316,plain,
( spl0_354
| ~ spl0_322
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f3254,f3198,f3170,f3314]) ).
fof(f3314,plain,
( spl0_354
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f3254,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_322
| ~ spl0_329 ),
inference(resolution,[],[f3199,f3171]) ).
fof(f3312,plain,
spl0_353,
inference(avatar_split_clause,[],[f196,f3310]) ).
fof(f3310,plain,
( spl0_353
<=> ! [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_353])]) ).
fof(f196,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3308,plain,
spl0_352,
inference(avatar_split_clause,[],[f94,f3306]) ).
fof(f3306,plain,
( spl0_352
<=> ! [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_352])]) ).
fof(f94,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3304,plain,
spl0_351,
inference(avatar_split_clause,[],[f93,f3302]) ).
fof(f3302,plain,
( spl0_351
<=> ! [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_351])]) ).
fof(f93,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3300,plain,
spl0_350,
inference(avatar_split_clause,[],[f92,f3298]) ).
fof(f3298,plain,
( spl0_350
<=> ! [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_350])]) ).
fof(f92,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3296,plain,
spl0_349,
inference(avatar_split_clause,[],[f91,f3294]) ).
fof(f3294,plain,
( spl0_349
<=> ! [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_349])]) ).
fof(f91,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3292,plain,
spl0_348,
inference(avatar_split_clause,[],[f89,f3290]) ).
fof(f3290,plain,
( spl0_348
<=> ! [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_348])]) ).
fof(f89,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3288,plain,
spl0_347,
inference(avatar_split_clause,[],[f88,f3286]) ).
fof(f3286,plain,
( spl0_347
<=> ! [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_347])]) ).
fof(f88,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3284,plain,
spl0_346,
inference(avatar_split_clause,[],[f87,f3282]) ).
fof(f3282,plain,
( spl0_346
<=> ! [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_346])]) ).
fof(f87,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3280,plain,
spl0_345,
inference(avatar_split_clause,[],[f86,f3278]) ).
fof(f3278,plain,
( spl0_345
<=> ! [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_345])]) ).
fof(f86,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3276,plain,
spl0_344,
inference(avatar_split_clause,[],[f37,f3274]) ).
fof(f3274,plain,
( spl0_344
<=> ! [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_344])]) ).
fof(f37,axiom,
! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3272,plain,
( spl0_343
| ~ spl0_321
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f3252,f3194,f3166,f3270]) ).
fof(f3270,plain,
( spl0_343
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f3166,plain,
( spl0_321
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f3194,plain,
( spl0_328
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f3252,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_321
| ~ spl0_328 ),
inference(resolution,[],[f3195,f3167]) ).
fof(f3167,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat)
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f3166]) ).
fof(f3195,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_nat)
| c_0 = X15 )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f3262,plain,
( spl0_342
| ~ spl0_320
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f3251,f3194,f3162,f3260]) ).
fof(f3260,plain,
( spl0_342
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f3162,plain,
( spl0_320
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f3251,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_320
| ~ spl0_328 ),
inference(resolution,[],[f3195,f3163]) ).
fof(f3163,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat)
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f3162]) ).
fof(f3248,plain,
spl0_341,
inference(avatar_split_clause,[],[f1468,f3246]) ).
fof(f3246,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f1468,axiom,
! [X54,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oused(X54),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f3244,plain,
spl0_340,
inference(avatar_split_clause,[],[f1466,f3242]) ).
fof(f3242,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f1466,axiom,
! [X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_OinitState(X12),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_0) ).
fof(f3240,plain,
spl0_339,
inference(avatar_split_clause,[],[f1456,f3238]) ).
fof(f3238,plain,
( spl0_339
<=> ! [X12,X32,X27] : c_Public_OshrK(X12) != c_Message_OinvKey(c_Public_OpublicKey(X27,X32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f1456,axiom,
! [X27,X12,X32] : c_Public_OshrK(X12) != c_Message_OinvKey(c_Public_OpublicKey(X27,X32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpriK__neq__shrK__iff1_0) ).
fof(f3236,plain,
spl0_338,
inference(avatar_split_clause,[],[f1453,f3234]) ).
fof(f3234,plain,
( spl0_338
<=> ! [X27,X12] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X27,X12)),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f1453,axiom,
! [X27,X12] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X27,X12)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__priK__iff1_0) ).
fof(f3232,plain,
spl0_337,
inference(avatar_split_clause,[],[f1447,f3230]) ).
fof(f1447,axiom,
! [X7,X13] : ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oparts(c_Event_OinitState(X13)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState__iff1_0) ).
fof(f3228,plain,
spl0_336,
inference(avatar_split_clause,[],[f1366,f3226]) ).
fof(f3226,plain,
( spl0_336
<=> ! [X57,X60,X58,X59] : c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_OGets(X60,X57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f1366,axiom,
! [X58,X59,X57,X60] : c_Event_Oevent_ONotes(X58,X59) != c_Event_Oevent_OGets(X60,X57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__6__iff1_0) ).
fof(f3224,plain,
spl0_335,
inference(avatar_split_clause,[],[f1335,f3222]) ).
fof(f3222,plain,
( spl0_335
<=> ! [X13,X0,X1] : c_in(X0,c_insert(X0,X13,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f1335,axiom,
! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3220,plain,
spl0_334,
inference(avatar_split_clause,[],[f1278,f3218]) ).
fof(f3218,plain,
( spl0_334
<=> ! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f1278,axiom,
! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f3216,plain,
spl0_333,
inference(avatar_split_clause,[],[f1277,f3214]) ).
fof(f3214,plain,
( spl0_333
<=> ! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f1277,axiom,
! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f3212,plain,
spl0_332,
inference(avatar_split_clause,[],[f1275,f3210]) ).
fof(f3210,plain,
( spl0_332
<=> ! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f1275,axiom,
! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f3208,plain,
spl0_331,
inference(avatar_split_clause,[],[f1273,f3206]) ).
fof(f3206,plain,
( spl0_331
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f1273,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f3204,plain,
spl0_330,
inference(avatar_split_clause,[],[f1269,f3202]) ).
fof(f3202,plain,
( spl0_330
<=> ! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f1269,axiom,
! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f3200,plain,
spl0_329,
inference(avatar_split_clause,[],[f1206,f3198]) ).
fof(f1206,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f3196,plain,
spl0_328,
inference(avatar_split_clause,[],[f1182,f3194]) ).
fof(f1182,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f3192,plain,
spl0_327,
inference(avatar_split_clause,[],[f95,f3190]) ).
fof(f3190,plain,
( spl0_327
<=> ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f95,axiom,
! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3188,plain,
spl0_326,
inference(avatar_split_clause,[],[f90,f3186]) ).
fof(f3186,plain,
( spl0_326
<=> ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f90,axiom,
! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3184,plain,
spl0_325,
inference(avatar_split_clause,[],[f61,f3182]) ).
fof(f3182,plain,
( spl0_325
<=> ! [X12,X1] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f61,axiom,
! [X1,X12] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3180,plain,
spl0_324,
inference(avatar_split_clause,[],[f45,f3178]) ).
fof(f3178,plain,
( spl0_324
<=> ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f45,axiom,
! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3176,plain,
spl0_323,
inference(avatar_split_clause,[],[f42,f3174]) ).
fof(f42,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3172,plain,
spl0_322,
inference(avatar_split_clause,[],[f41,f3170]) ).
fof(f41,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3168,plain,
spl0_321,
inference(avatar_split_clause,[],[f26,f3166]) ).
fof(f26,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3164,plain,
spl0_320,
inference(avatar_split_clause,[],[f25,f3162]) ).
fof(f25,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f3160,plain,
~ spl0_319,
inference(avatar_split_clause,[],[f1488,f3157]) ).
fof(f1488,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3155,plain,
spl0_318,
inference(avatar_split_clause,[],[f1459,f3153]) ).
fof(f3153,plain,
( spl0_318
<=> ! [X12,X32,X27] : c_Public_OshrK(X12) != c_Public_OpublicKey(X27,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f1459,axiom,
! [X27,X12,X32] : c_Public_OshrK(X12) != c_Public_OpublicKey(X27,X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpubK__neq__shrK__iff1_0) ).
fof(f3151,plain,
spl0_317,
inference(avatar_split_clause,[],[f1454,f3149]) ).
fof(f3149,plain,
( spl0_317
<=> ! [X27,X12] : ~ c_in(c_Public_OpublicKey(X27,X12),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f1454,axiom,
! [X27,X12] : ~ c_in(c_Public_OpublicKey(X27,X12),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__pubK__iff1_0) ).
fof(f3147,plain,
spl0_316,
inference(avatar_split_clause,[],[f1435,f3145]) ).
fof(f3145,plain,
( spl0_316
<=> ! [X64,X21] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X64),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f1435,axiom,
! [X21,X64] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X64),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_ONumber_0) ).
fof(f3143,plain,
spl0_315,
inference(avatar_split_clause,[],[f1430,f3141]) ).
fof(f3141,plain,
( spl0_315
<=> ! [X64,X75] : c_in(c_Message_Omsg_OAgent(X75),c_Message_Osynth(X64),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f1430,axiom,
! [X64,X75] : c_in(c_Message_Omsg_OAgent(X75),c_Message_Osynth(X64),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OAgent_0) ).
fof(f3139,plain,
spl0_314,
inference(avatar_split_clause,[],[f1331,f3137]) ).
fof(f3137,plain,
( spl0_314
<=> ! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f1331,axiom,
! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f3135,plain,
spl0_313,
inference(avatar_split_clause,[],[f1282,f3133]) ).
fof(f3133,plain,
( spl0_313
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f1282,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f3131,plain,
spl0_312,
inference(avatar_split_clause,[],[f1268,f3128]) ).
fof(f3128,plain,
( spl0_312
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1268,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f3126,plain,
spl0_311,
inference(avatar_split_clause,[],[f1249,f3124]) ).
fof(f3124,plain,
( spl0_311
<=> ! [X25,X1] : c_append(c_List_Olist_ONil,X25,X1) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f1249,axiom,
! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff2_0) ).
fof(f3122,plain,
spl0_310,
inference(avatar_split_clause,[],[f1238,f3120]) ).
fof(f3120,plain,
( spl0_310
<=> ! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f1238,axiom,
! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1__iff1_0) ).
fof(f3118,plain,
spl0_309,
inference(avatar_split_clause,[],[f1233,f3116]) ).
fof(f3116,plain,
( spl0_309
<=> ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f1233,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f3114,plain,
spl0_308,
inference(avatar_split_clause,[],[f1229,f3112]) ).
fof(f3112,plain,
( spl0_308
<=> ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f1229,axiom,
! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f3110,plain,
spl0_307,
inference(avatar_split_clause,[],[f1185,f3108]) ).
fof(f3108,plain,
( spl0_307
<=> ! [X5,X1] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1185,axiom,
! [X1,X5] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).
fof(f3106,plain,
spl0_306,
inference(avatar_split_clause,[],[f68,f3104]) ).
fof(f3104,plain,
( spl0_306
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f3102,plain,
spl0_305,
inference(avatar_split_clause,[],[f1465,f3100]) ).
fof(f3100,plain,
( spl0_305
<=> ! [X53] : c_in(c_Public_OshrK(X53),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1465,axiom,
! [X53] : c_in(c_Public_OshrK(X53),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK_AX_A_58_AsymKeys_0) ).
fof(f3098,plain,
spl0_304,
inference(avatar_split_clause,[],[f1428,f3096]) ).
fof(f1428,axiom,
! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__emptyE_0) ).
fof(f3094,plain,
spl0_303,
inference(avatar_split_clause,[],[f1337,f3092]) ).
fof(f3092,plain,
( spl0_303
<=> ! [X12,X1] : ~ c_less(X12,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1337,axiom,
! [X1,X12] : ~ c_less(X12,c_emptyset,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f3090,plain,
spl0_302,
inference(avatar_split_clause,[],[f1255,f3088]) ).
fof(f3088,plain,
( spl0_302
<=> ! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1255,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty__iff2_0) ).
fof(f3086,plain,
spl0_301,
inference(avatar_split_clause,[],[f1215,f3084]) ).
fof(f3084,plain,
( spl0_301
<=> ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1215,axiom,
! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff2_0) ).
fof(f3082,plain,
~ spl0_300,
inference(avatar_split_clause,[],[f1202,f3079]) ).
fof(f3079,plain,
( spl0_300
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1202,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f3077,plain,
spl0_299,
inference(avatar_split_clause,[],[f1165,f3075]) ).
fof(f3075,plain,
( spl0_299
<=> ! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1165,axiom,
! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
fof(f3073,plain,
spl0_298,
inference(avatar_split_clause,[],[f250,f3071]) ).
fof(f3071,plain,
( spl0_298
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f250,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f3069,plain,
spl0_297,
inference(avatar_split_clause,[],[f128,f3067]) ).
fof(f3067,plain,
( spl0_297
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f128,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f3065,plain,
spl0_296,
inference(avatar_split_clause,[],[f112,f3063]) ).
fof(f3063,plain,
( spl0_296
<=> ! [X12,X1] : c_lessequals(X12,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f112,axiom,
! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f3061,plain,
spl0_295,
inference(avatar_split_clause,[],[f101,f3059]) ).
fof(f3059,plain,
( spl0_295
<=> ! [X12,X1] : c_lessequals(c_emptyset,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f101,axiom,
! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f3057,plain,
spl0_294,
inference(avatar_split_clause,[],[f67,f3055]) ).
fof(f3055,plain,
( spl0_294
<=> ! [X21] : c_less(c_0,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f67,axiom,
! [X21] : c_less(c_0,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f3053,plain,
spl0_293,
inference(avatar_split_clause,[],[f65,f3051]) ).
fof(f3051,plain,
( spl0_293
<=> ! [X21] : c_less(X21,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f65,axiom,
! [X21] : c_less(X21,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f3049,plain,
spl0_292,
inference(avatar_split_clause,[],[f28,f3047]) ).
fof(f3047,plain,
( spl0_292
<=> ! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f28,axiom,
! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f3045,plain,
spl0_291,
inference(avatar_split_clause,[],[f24,f3043]) ).
fof(f3043,plain,
( spl0_291
<=> ! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f24,axiom,
! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2734,plain,
spl0_290,
inference(avatar_split_clause,[],[f1413,f2732]) ).
fof(f2732,plain,
( spl0_290
<=> ! [X70] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X70) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f1413,axiom,
! [X70] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X70),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__6__iff1_0) ).
fof(f2730,plain,
spl0_289,
inference(avatar_split_clause,[],[f1408,f2728]) ).
fof(f2728,plain,
( spl0_289
<=> ! [X69] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X69) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f1408,axiom,
! [X69] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__1__iff1_0) ).
fof(f2726,plain,
spl0_288,
inference(avatar_split_clause,[],[f1359,f2723]) ).
fof(f2723,plain,
( spl0_288
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1359,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).
fof(f2721,plain,
~ spl0_287,
inference(avatar_split_clause,[],[f1358,f2718]) ).
fof(f2718,plain,
( spl0_287
<=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1358,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0) ).
fof(f2716,plain,
spl0_286,
inference(avatar_split_clause,[],[f1333,f2714]) ).
fof(f2714,plain,
( spl0_286
<=> ! [X18,X1] : ~ c_in(X18,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1333,axiom,
! [X18,X1] : ~ c_in(X18,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2712,plain,
spl0_285,
inference(avatar_split_clause,[],[f1279,f2710]) ).
fof(f2710,plain,
( spl0_285
<=> ! [X21] : ~ c_less(X21,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1279,axiom,
! [X21] : ~ c_less(X21,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f2708,plain,
spl0_284,
inference(avatar_split_clause,[],[f1274,f2705]) ).
fof(f2705,plain,
( spl0_284
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f1274,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f2703,plain,
spl0_283,
inference(avatar_split_clause,[],[f1261,f2701]) ).
fof(f2701,plain,
( spl0_283
<=> ! [X15] : c_0 != c_Suc(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1261,axiom,
! [X15] : c_0 != c_Suc(X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f2699,plain,
spl0_282,
inference(avatar_split_clause,[],[f1159,f2697]) ).
fof(f2697,plain,
( spl0_282
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1159,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2695,plain,
spl0_281,
inference(avatar_split_clause,[],[f1158,f2693]) ).
fof(f2693,plain,
( spl0_281
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1158,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2691,plain,
spl0_280,
inference(avatar_split_clause,[],[f1157,f2689]) ).
fof(f2689,plain,
( spl0_280
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1157,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2687,plain,
spl0_279,
inference(avatar_split_clause,[],[f1156,f2685]) ).
fof(f2685,plain,
( spl0_279
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1156,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2683,plain,
spl0_278,
inference(avatar_split_clause,[],[f1155,f2681]) ).
fof(f2681,plain,
( spl0_278
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1155,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2679,plain,
spl0_277,
inference(avatar_split_clause,[],[f1154,f2677]) ).
fof(f2677,plain,
( spl0_277
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1154,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2675,plain,
spl0_276,
inference(avatar_split_clause,[],[f1067,f2673]) ).
fof(f2673,plain,
( spl0_276
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1067,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2671,plain,
spl0_275,
inference(avatar_split_clause,[],[f1059,f2669]) ).
fof(f2669,plain,
( spl0_275
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1059,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2667,plain,
spl0_274,
inference(avatar_split_clause,[],[f1058,f2665]) ).
fof(f2665,plain,
( spl0_274
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1058,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2663,plain,
spl0_273,
inference(avatar_split_clause,[],[f1048,f2661]) ).
fof(f2661,plain,
( spl0_273
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1048,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2659,plain,
spl0_272,
inference(avatar_split_clause,[],[f1047,f2657]) ).
fof(f2657,plain,
( spl0_272
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1047,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2655,plain,
spl0_271,
inference(avatar_split_clause,[],[f1046,f2653]) ).
fof(f2653,plain,
( spl0_271
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1046,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2651,plain,
spl0_270,
inference(avatar_split_clause,[],[f1044,f2649]) ).
fof(f2649,plain,
( spl0_270
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1044,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2647,plain,
spl0_269,
inference(avatar_split_clause,[],[f1043,f2645]) ).
fof(f2645,plain,
( spl0_269
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1043,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2643,plain,
spl0_268,
inference(avatar_split_clause,[],[f1042,f2641]) ).
fof(f2641,plain,
( spl0_268
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1042,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2639,plain,
spl0_267,
inference(avatar_split_clause,[],[f1041,f2637]) ).
fof(f2637,plain,
( spl0_267
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1041,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2635,plain,
spl0_266,
inference(avatar_split_clause,[],[f1040,f2633]) ).
fof(f2633,plain,
( spl0_266
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1040,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2631,plain,
spl0_265,
inference(avatar_split_clause,[],[f1024,f2629]) ).
fof(f2629,plain,
( spl0_265
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1024,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2627,plain,
spl0_264,
inference(avatar_split_clause,[],[f1023,f2625]) ).
fof(f2625,plain,
( spl0_264
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1023,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2623,plain,
spl0_263,
inference(avatar_split_clause,[],[f1022,f2621]) ).
fof(f2621,plain,
( spl0_263
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1022,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2619,plain,
spl0_262,
inference(avatar_split_clause,[],[f1021,f2617]) ).
fof(f2617,plain,
( spl0_262
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1021,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2615,plain,
spl0_261,
inference(avatar_split_clause,[],[f989,f2613]) ).
fof(f2613,plain,
( spl0_261
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f989,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2611,plain,
spl0_260,
inference(avatar_split_clause,[],[f980,f2609]) ).
fof(f2609,plain,
( spl0_260
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f980,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2607,plain,
spl0_259,
inference(avatar_split_clause,[],[f979,f2605]) ).
fof(f2605,plain,
( spl0_259
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f979,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2603,plain,
spl0_258,
inference(avatar_split_clause,[],[f976,f2601]) ).
fof(f2601,plain,
( spl0_258
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f976,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2599,plain,
spl0_257,
inference(avatar_split_clause,[],[f966,f2597]) ).
fof(f2597,plain,
( spl0_257
<=> ! [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_257])]) ).
fof(f966,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2595,plain,
spl0_256,
inference(avatar_split_clause,[],[f965,f2593]) ).
fof(f2593,plain,
( spl0_256
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f965,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2591,plain,
spl0_255,
inference(avatar_split_clause,[],[f962,f2589]) ).
fof(f2589,plain,
( spl0_255
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f962,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2587,plain,
spl0_254,
inference(avatar_split_clause,[],[f961,f2585]) ).
fof(f2585,plain,
( spl0_254
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f961,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2583,plain,
spl0_253,
inference(avatar_split_clause,[],[f957,f2581]) ).
fof(f2581,plain,
( spl0_253
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f957,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2579,plain,
spl0_252,
inference(avatar_split_clause,[],[f955,f2577]) ).
fof(f2577,plain,
( spl0_252
<=> ! [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_252])]) ).
fof(f955,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2575,plain,
spl0_251,
inference(avatar_split_clause,[],[f954,f2573]) ).
fof(f2573,plain,
( spl0_251
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f954,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2571,plain,
spl0_250,
inference(avatar_split_clause,[],[f947,f2569]) ).
fof(f2569,plain,
( spl0_250
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f947,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2567,plain,
spl0_249,
inference(avatar_split_clause,[],[f946,f2565]) ).
fof(f2565,plain,
( spl0_249
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f946,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2563,plain,
spl0_248,
inference(avatar_split_clause,[],[f941,f2561]) ).
fof(f2561,plain,
( spl0_248
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f941,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2559,plain,
spl0_247,
inference(avatar_split_clause,[],[f940,f2557]) ).
fof(f2557,plain,
( spl0_247
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f940,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2555,plain,
spl0_246,
inference(avatar_split_clause,[],[f939,f2553]) ).
fof(f2553,plain,
( spl0_246
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f939,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2551,plain,
spl0_245,
inference(avatar_split_clause,[],[f938,f2549]) ).
fof(f2549,plain,
( spl0_245
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f938,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2547,plain,
spl0_244,
inference(avatar_split_clause,[],[f937,f2545]) ).
fof(f2545,plain,
( spl0_244
<=> ! [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_244])]) ).
fof(f937,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2543,plain,
spl0_243,
inference(avatar_split_clause,[],[f936,f2541]) ).
fof(f2541,plain,
( spl0_243
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f936,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2539,plain,
spl0_242,
inference(avatar_split_clause,[],[f935,f2537]) ).
fof(f2537,plain,
( spl0_242
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f935,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2535,plain,
spl0_241,
inference(avatar_split_clause,[],[f934,f2533]) ).
fof(f2533,plain,
( spl0_241
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f934,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2531,plain,
spl0_240,
inference(avatar_split_clause,[],[f933,f2529]) ).
fof(f2529,plain,
( spl0_240
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f933,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2527,plain,
spl0_239,
inference(avatar_split_clause,[],[f924,f2525]) ).
fof(f2525,plain,
( spl0_239
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f924,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2523,plain,
spl0_238,
inference(avatar_split_clause,[],[f923,f2521]) ).
fof(f2521,plain,
( spl0_238
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f923,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2519,plain,
spl0_237,
inference(avatar_split_clause,[],[f922,f2517]) ).
fof(f2517,plain,
( spl0_237
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f922,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2515,plain,
spl0_236,
inference(avatar_split_clause,[],[f921,f2513]) ).
fof(f2513,plain,
( spl0_236
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f921,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2511,plain,
spl0_235,
inference(avatar_split_clause,[],[f920,f2509]) ).
fof(f2509,plain,
( spl0_235
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f920,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2507,plain,
spl0_234,
inference(avatar_split_clause,[],[f919,f2505]) ).
fof(f2505,plain,
( spl0_234
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f919,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2503,plain,
spl0_233,
inference(avatar_split_clause,[],[f918,f2501]) ).
fof(f2501,plain,
( spl0_233
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f918,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2499,plain,
spl0_232,
inference(avatar_split_clause,[],[f917,f2497]) ).
fof(f2497,plain,
( spl0_232
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f917,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2495,plain,
spl0_231,
inference(avatar_split_clause,[],[f916,f2493]) ).
fof(f2493,plain,
( spl0_231
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f916,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2491,plain,
spl0_230,
inference(avatar_split_clause,[],[f915,f2489]) ).
fof(f2489,plain,
( spl0_230
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f915,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2487,plain,
spl0_229,
inference(avatar_split_clause,[],[f913,f2485]) ).
fof(f2485,plain,
( spl0_229
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f913,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2483,plain,
spl0_228,
inference(avatar_split_clause,[],[f912,f2481]) ).
fof(f2481,plain,
( spl0_228
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f912,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2479,plain,
spl0_227,
inference(avatar_split_clause,[],[f911,f2477]) ).
fof(f2477,plain,
( spl0_227
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f911,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2475,plain,
spl0_226,
inference(avatar_split_clause,[],[f910,f2473]) ).
fof(f2473,plain,
( spl0_226
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f910,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2471,plain,
spl0_225,
inference(avatar_split_clause,[],[f909,f2469]) ).
fof(f2469,plain,
( spl0_225
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f909,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2467,plain,
spl0_224,
inference(avatar_split_clause,[],[f908,f2465]) ).
fof(f2465,plain,
( spl0_224
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f908,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2463,plain,
spl0_223,
inference(avatar_split_clause,[],[f883,f2461]) ).
fof(f2461,plain,
( spl0_223
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f883,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2459,plain,
spl0_222,
inference(avatar_split_clause,[],[f882,f2457]) ).
fof(f2457,plain,
( spl0_222
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f882,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2455,plain,
spl0_221,
inference(avatar_split_clause,[],[f881,f2453]) ).
fof(f2453,plain,
( spl0_221
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f881,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2451,plain,
spl0_220,
inference(avatar_split_clause,[],[f880,f2449]) ).
fof(f2449,plain,
( spl0_220
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f880,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2447,plain,
spl0_219,
inference(avatar_split_clause,[],[f879,f2445]) ).
fof(f2445,plain,
( spl0_219
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f879,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2443,plain,
spl0_218,
inference(avatar_split_clause,[],[f878,f2441]) ).
fof(f2441,plain,
( spl0_218
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f878,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2439,plain,
spl0_217,
inference(avatar_split_clause,[],[f876,f2437]) ).
fof(f2437,plain,
( spl0_217
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f876,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2435,plain,
spl0_216,
inference(avatar_split_clause,[],[f875,f2433]) ).
fof(f2433,plain,
( spl0_216
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f875,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2431,plain,
spl0_215,
inference(avatar_split_clause,[],[f874,f2429]) ).
fof(f2429,plain,
( spl0_215
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f874,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2427,plain,
spl0_214,
inference(avatar_split_clause,[],[f873,f2425]) ).
fof(f2425,plain,
( spl0_214
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f873,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2423,plain,
spl0_213,
inference(avatar_split_clause,[],[f872,f2421]) ).
fof(f2421,plain,
( spl0_213
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f872,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2419,plain,
spl0_212,
inference(avatar_split_clause,[],[f871,f2417]) ).
fof(f2417,plain,
( spl0_212
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f871,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2415,plain,
spl0_211,
inference(avatar_split_clause,[],[f870,f2413]) ).
fof(f2413,plain,
( spl0_211
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f870,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2411,plain,
spl0_210,
inference(avatar_split_clause,[],[f869,f2409]) ).
fof(f2409,plain,
( spl0_210
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f869,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2407,plain,
spl0_209,
inference(avatar_split_clause,[],[f868,f2405]) ).
fof(f2405,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f868,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2403,plain,
spl0_208,
inference(avatar_split_clause,[],[f867,f2401]) ).
fof(f2401,plain,
( spl0_208
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f867,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2399,plain,
spl0_207,
inference(avatar_split_clause,[],[f865,f2397]) ).
fof(f2397,plain,
( spl0_207
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f865,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2395,plain,
spl0_206,
inference(avatar_split_clause,[],[f864,f2393]) ).
fof(f2393,plain,
( spl0_206
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f864,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2391,plain,
spl0_205,
inference(avatar_split_clause,[],[f863,f2389]) ).
fof(f2389,plain,
( spl0_205
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f863,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2387,plain,
spl0_204,
inference(avatar_split_clause,[],[f862,f2385]) ).
fof(f2385,plain,
( spl0_204
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f862,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2383,plain,
spl0_203,
inference(avatar_split_clause,[],[f861,f2381]) ).
fof(f2381,plain,
( spl0_203
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f861,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2379,plain,
spl0_202,
inference(avatar_split_clause,[],[f847,f2377]) ).
fof(f2377,plain,
( spl0_202
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f847,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2375,plain,
spl0_201,
inference(avatar_split_clause,[],[f846,f2373]) ).
fof(f2373,plain,
( spl0_201
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f846,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2371,plain,
spl0_200,
inference(avatar_split_clause,[],[f845,f2369]) ).
fof(f2369,plain,
( spl0_200
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f845,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2367,plain,
spl0_199,
inference(avatar_split_clause,[],[f844,f2365]) ).
fof(f2365,plain,
( spl0_199
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f844,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2363,plain,
spl0_198,
inference(avatar_split_clause,[],[f843,f2361]) ).
fof(f2361,plain,
( spl0_198
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f843,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2359,plain,
spl0_197,
inference(avatar_split_clause,[],[f842,f2357]) ).
fof(f2357,plain,
( spl0_197
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f842,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2355,plain,
spl0_196,
inference(avatar_split_clause,[],[f840,f2353]) ).
fof(f2353,plain,
( spl0_196
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f840,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2351,plain,
spl0_195,
inference(avatar_split_clause,[],[f839,f2349]) ).
fof(f2349,plain,
( spl0_195
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f839,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2347,plain,
spl0_194,
inference(avatar_split_clause,[],[f838,f2345]) ).
fof(f2345,plain,
( spl0_194
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f838,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2343,plain,
spl0_193,
inference(avatar_split_clause,[],[f837,f2341]) ).
fof(f2341,plain,
( spl0_193
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f837,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2339,plain,
spl0_192,
inference(avatar_split_clause,[],[f836,f2337]) ).
fof(f2337,plain,
( spl0_192
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f836,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2335,plain,
spl0_191,
inference(avatar_split_clause,[],[f835,f2333]) ).
fof(f2333,plain,
( spl0_191
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f835,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2331,plain,
spl0_190,
inference(avatar_split_clause,[],[f834,f2329]) ).
fof(f2329,plain,
( spl0_190
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f834,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2327,plain,
spl0_189,
inference(avatar_split_clause,[],[f833,f2325]) ).
fof(f2325,plain,
( spl0_189
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f833,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2323,plain,
spl0_188,
inference(avatar_split_clause,[],[f832,f2321]) ).
fof(f2321,plain,
( spl0_188
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f832,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2319,plain,
spl0_187,
inference(avatar_split_clause,[],[f831,f2317]) ).
fof(f2317,plain,
( spl0_187
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f831,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2315,plain,
spl0_186,
inference(avatar_split_clause,[],[f829,f2313]) ).
fof(f2313,plain,
( spl0_186
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f829,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2311,plain,
spl0_185,
inference(avatar_split_clause,[],[f828,f2309]) ).
fof(f2309,plain,
( spl0_185
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f828,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2307,plain,
spl0_184,
inference(avatar_split_clause,[],[f827,f2305]) ).
fof(f2305,plain,
( spl0_184
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f827,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2303,plain,
spl0_183,
inference(avatar_split_clause,[],[f826,f2301]) ).
fof(f2301,plain,
( spl0_183
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f826,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2299,plain,
spl0_182,
inference(avatar_split_clause,[],[f825,f2297]) ).
fof(f2297,plain,
( spl0_182
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f825,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2295,plain,
spl0_181,
inference(avatar_split_clause,[],[f824,f2293]) ).
fof(f2293,plain,
( spl0_181
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f824,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2291,plain,
spl0_180,
inference(avatar_split_clause,[],[f823,f2289]) ).
fof(f2289,plain,
( spl0_180
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f823,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2287,plain,
spl0_179,
inference(avatar_split_clause,[],[f822,f2285]) ).
fof(f2285,plain,
( spl0_179
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f822,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2283,plain,
spl0_178,
inference(avatar_split_clause,[],[f821,f2281]) ).
fof(f2281,plain,
( spl0_178
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f821,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2279,plain,
spl0_177,
inference(avatar_split_clause,[],[f820,f2277]) ).
fof(f2277,plain,
( spl0_177
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f820,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2275,plain,
spl0_176,
inference(avatar_split_clause,[],[f727,f2273]) ).
fof(f2273,plain,
( spl0_176
<=> ! [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_176])]) ).
fof(f727,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2271,plain,
spl0_175,
inference(avatar_split_clause,[],[f726,f2269]) ).
fof(f2269,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f726,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2267,plain,
spl0_174,
inference(avatar_split_clause,[],[f725,f2265]) ).
fof(f2265,plain,
( spl0_174
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f725,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2263,plain,
spl0_173,
inference(avatar_split_clause,[],[f723,f2261]) ).
fof(f2261,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f723,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2259,plain,
spl0_172,
inference(avatar_split_clause,[],[f722,f2257]) ).
fof(f2257,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f722,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2255,plain,
spl0_171,
inference(avatar_split_clause,[],[f719,f2253]) ).
fof(f2253,plain,
( spl0_171
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f719,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2251,plain,
spl0_170,
inference(avatar_split_clause,[],[f718,f2249]) ).
fof(f2249,plain,
( spl0_170
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f718,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2247,plain,
spl0_169,
inference(avatar_split_clause,[],[f716,f2245]) ).
fof(f2245,plain,
( spl0_169
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f716,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2243,plain,
spl0_168,
inference(avatar_split_clause,[],[f715,f2241]) ).
fof(f2241,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f715,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2239,plain,
spl0_167,
inference(avatar_split_clause,[],[f714,f2237]) ).
fof(f2237,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f714,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2235,plain,
spl0_166,
inference(avatar_split_clause,[],[f713,f2233]) ).
fof(f2233,plain,
( spl0_166
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f713,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2231,plain,
spl0_165,
inference(avatar_split_clause,[],[f712,f2229]) ).
fof(f2229,plain,
( spl0_165
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f712,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2227,plain,
spl0_164,
inference(avatar_split_clause,[],[f711,f2225]) ).
fof(f2225,plain,
( spl0_164
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f711,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2223,plain,
spl0_163,
inference(avatar_split_clause,[],[f710,f2221]) ).
fof(f2221,plain,
( spl0_163
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f710,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2219,plain,
spl0_162,
inference(avatar_split_clause,[],[f709,f2217]) ).
fof(f2217,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f709,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2215,plain,
spl0_161,
inference(avatar_split_clause,[],[f704,f2213]) ).
fof(f2213,plain,
( spl0_161
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f704,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2211,plain,
spl0_160,
inference(avatar_split_clause,[],[f703,f2209]) ).
fof(f2209,plain,
( spl0_160
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f703,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2207,plain,
spl0_159,
inference(avatar_split_clause,[],[f702,f2205]) ).
fof(f2205,plain,
( spl0_159
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f702,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2203,plain,
spl0_158,
inference(avatar_split_clause,[],[f701,f2201]) ).
fof(f2201,plain,
( spl0_158
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f701,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2199,plain,
spl0_157,
inference(avatar_split_clause,[],[f700,f2197]) ).
fof(f2197,plain,
( spl0_157
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f700,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2195,plain,
spl0_156,
inference(avatar_split_clause,[],[f698,f2193]) ).
fof(f2193,plain,
( spl0_156
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f698,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2191,plain,
spl0_155,
inference(avatar_split_clause,[],[f696,f2189]) ).
fof(f2189,plain,
( spl0_155
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f696,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2187,plain,
spl0_154,
inference(avatar_split_clause,[],[f695,f2185]) ).
fof(f2185,plain,
( spl0_154
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f695,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2183,plain,
spl0_153,
inference(avatar_split_clause,[],[f694,f2181]) ).
fof(f2181,plain,
( spl0_153
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f694,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2179,plain,
spl0_152,
inference(avatar_split_clause,[],[f693,f2177]) ).
fof(f2177,plain,
( spl0_152
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f693,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2175,plain,
spl0_151,
inference(avatar_split_clause,[],[f692,f2173]) ).
fof(f2173,plain,
( spl0_151
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f692,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2171,plain,
spl0_150,
inference(avatar_split_clause,[],[f691,f2169]) ).
fof(f2169,plain,
( spl0_150
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f691,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2167,plain,
spl0_149,
inference(avatar_split_clause,[],[f686,f2165]) ).
fof(f2165,plain,
( spl0_149
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f686,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2163,plain,
spl0_148,
inference(avatar_split_clause,[],[f677,f2161]) ).
fof(f2161,plain,
( spl0_148
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f677,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2159,plain,
spl0_147,
inference(avatar_split_clause,[],[f676,f2157]) ).
fof(f2157,plain,
( spl0_147
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f676,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2155,plain,
spl0_146,
inference(avatar_split_clause,[],[f674,f2153]) ).
fof(f2153,plain,
( spl0_146
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f674,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f2151,plain,
spl0_145,
inference(avatar_split_clause,[],[f483,f2149]) ).
fof(f2149,plain,
( spl0_145
<=> ! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f483,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f2147,plain,
spl0_144,
inference(avatar_split_clause,[],[f454,f2145]) ).
fof(f2145,plain,
( spl0_144
<=> ! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f454,axiom,
! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2143,plain,
spl0_143,
inference(avatar_split_clause,[],[f453,f2141]) ).
fof(f2141,plain,
( spl0_143
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f453,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2139,plain,
spl0_142,
inference(avatar_split_clause,[],[f452,f2137]) ).
fof(f2137,plain,
( spl0_142
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f452,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f2135,plain,
spl0_141,
inference(avatar_split_clause,[],[f451,f2133]) ).
fof(f2133,plain,
( spl0_141
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f451,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f2131,plain,
spl0_140,
inference(avatar_split_clause,[],[f450,f2129]) ).
fof(f2129,plain,
( spl0_140
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f450,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f2127,plain,
spl0_139,
inference(avatar_split_clause,[],[f449,f2125]) ).
fof(f2125,plain,
( spl0_139
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f449,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f2123,plain,
spl0_138,
inference(avatar_split_clause,[],[f441,f2121]) ).
fof(f2121,plain,
( spl0_138
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f441,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f2119,plain,
spl0_137,
inference(avatar_split_clause,[],[f440,f2117]) ).
fof(f2117,plain,
( spl0_137
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f440,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f2115,plain,
spl0_136,
inference(avatar_split_clause,[],[f439,f2113]) ).
fof(f2113,plain,
( spl0_136
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f439,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f2111,plain,
spl0_135,
inference(avatar_split_clause,[],[f433,f2109]) ).
fof(f2109,plain,
( spl0_135
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f433,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f2107,plain,
spl0_134,
inference(avatar_split_clause,[],[f432,f2105]) ).
fof(f2105,plain,
( spl0_134
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f432,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f2103,plain,
spl0_133,
inference(avatar_split_clause,[],[f431,f2101]) ).
fof(f2101,plain,
( spl0_133
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f431,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f2099,plain,
spl0_132,
inference(avatar_split_clause,[],[f430,f2097]) ).
fof(f2097,plain,
( spl0_132
<=> ! [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_132])]) ).
fof(f430,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f2095,plain,
spl0_131,
inference(avatar_split_clause,[],[f426,f2093]) ).
fof(f2093,plain,
( spl0_131
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f426,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f2091,plain,
spl0_130,
inference(avatar_split_clause,[],[f425,f2089]) ).
fof(f2089,plain,
( spl0_130
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f425,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f2087,plain,
spl0_129,
inference(avatar_split_clause,[],[f424,f2085]) ).
fof(f2085,plain,
( spl0_129
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f424,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f2083,plain,
spl0_128,
inference(avatar_split_clause,[],[f416,f2081]) ).
fof(f2081,plain,
( spl0_128
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f416,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f2079,plain,
spl0_127,
inference(avatar_split_clause,[],[f415,f2077]) ).
fof(f2077,plain,
( spl0_127
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f415,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f2075,plain,
spl0_126,
inference(avatar_split_clause,[],[f414,f2073]) ).
fof(f2073,plain,
( spl0_126
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f414,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f2071,plain,
spl0_125,
inference(avatar_split_clause,[],[f413,f2069]) ).
fof(f2069,plain,
( spl0_125
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f413,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f2067,plain,
spl0_124,
inference(avatar_split_clause,[],[f410,f2065]) ).
fof(f2065,plain,
( spl0_124
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f410,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f2063,plain,
spl0_123,
inference(avatar_split_clause,[],[f404,f2061]) ).
fof(f2061,plain,
( spl0_123
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f404,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f2059,plain,
spl0_122,
inference(avatar_split_clause,[],[f403,f2057]) ).
fof(f2057,plain,
( spl0_122
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f403,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f2055,plain,
spl0_121,
inference(avatar_split_clause,[],[f402,f2053]) ).
fof(f2053,plain,
( spl0_121
<=> ! [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_121])]) ).
fof(f402,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f2051,plain,
spl0_120,
inference(avatar_split_clause,[],[f401,f2049]) ).
fof(f2049,plain,
( spl0_120
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f401,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f2047,plain,
spl0_119,
inference(avatar_split_clause,[],[f400,f2045]) ).
fof(f2045,plain,
( spl0_119
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f400,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f2043,plain,
spl0_118,
inference(avatar_split_clause,[],[f399,f2041]) ).
fof(f2041,plain,
( spl0_118
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f399,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f2039,plain,
spl0_117,
inference(avatar_split_clause,[],[f398,f2037]) ).
fof(f2037,plain,
( spl0_117
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f398,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f2035,plain,
spl0_116,
inference(avatar_split_clause,[],[f397,f2033]) ).
fof(f2033,plain,
( spl0_116
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f397,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f2031,plain,
spl0_115,
inference(avatar_split_clause,[],[f393,f2029]) ).
fof(f2029,plain,
( spl0_115
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f393,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f2027,plain,
spl0_114,
inference(avatar_split_clause,[],[f392,f2025]) ).
fof(f2025,plain,
( spl0_114
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f392,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f2023,plain,
spl0_113,
inference(avatar_split_clause,[],[f391,f2021]) ).
fof(f2021,plain,
( spl0_113
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f391,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f2019,plain,
spl0_112,
inference(avatar_split_clause,[],[f390,f2017]) ).
fof(f2017,plain,
( spl0_112
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f390,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f2015,plain,
spl0_111,
inference(avatar_split_clause,[],[f389,f2013]) ).
fof(f2013,plain,
( spl0_111
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f389,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f2011,plain,
spl0_110,
inference(avatar_split_clause,[],[f385,f2009]) ).
fof(f2009,plain,
( spl0_110
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f385,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f2007,plain,
spl0_109,
inference(avatar_split_clause,[],[f384,f2005]) ).
fof(f2005,plain,
( spl0_109
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f384,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f2003,plain,
spl0_108,
inference(avatar_split_clause,[],[f383,f2001]) ).
fof(f2001,plain,
( spl0_108
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f383,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1999,plain,
spl0_107,
inference(avatar_split_clause,[],[f382,f1997]) ).
fof(f1997,plain,
( spl0_107
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f382,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1995,plain,
spl0_106,
inference(avatar_split_clause,[],[f375,f1993]) ).
fof(f1993,plain,
( spl0_106
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f375,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1991,plain,
spl0_105,
inference(avatar_split_clause,[],[f374,f1989]) ).
fof(f1989,plain,
( spl0_105
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f374,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1987,plain,
spl0_104,
inference(avatar_split_clause,[],[f373,f1985]) ).
fof(f1985,plain,
( spl0_104
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f373,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1983,plain,
spl0_103,
inference(avatar_split_clause,[],[f372,f1981]) ).
fof(f1981,plain,
( spl0_103
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f372,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1979,plain,
spl0_102,
inference(avatar_split_clause,[],[f371,f1977]) ).
fof(f1977,plain,
( spl0_102
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f371,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1975,plain,
spl0_101,
inference(avatar_split_clause,[],[f370,f1973]) ).
fof(f1973,plain,
( spl0_101
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f370,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1971,plain,
spl0_100,
inference(avatar_split_clause,[],[f366,f1969]) ).
fof(f1969,plain,
( spl0_100
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f366,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1967,plain,
spl0_99,
inference(avatar_split_clause,[],[f365,f1965]) ).
fof(f1965,plain,
( spl0_99
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f365,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1963,plain,
spl0_98,
inference(avatar_split_clause,[],[f364,f1961]) ).
fof(f1961,plain,
( spl0_98
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f364,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1959,plain,
spl0_97,
inference(avatar_split_clause,[],[f363,f1957]) ).
fof(f1957,plain,
( spl0_97
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f363,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1955,plain,
spl0_96,
inference(avatar_split_clause,[],[f356,f1953]) ).
fof(f1953,plain,
( spl0_96
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f356,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1951,plain,
spl0_95,
inference(avatar_split_clause,[],[f354,f1949]) ).
fof(f1949,plain,
( spl0_95
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f354,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1947,plain,
spl0_94,
inference(avatar_split_clause,[],[f353,f1945]) ).
fof(f1945,plain,
( spl0_94
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f353,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1943,plain,
spl0_93,
inference(avatar_split_clause,[],[f352,f1941]) ).
fof(f1941,plain,
( spl0_93
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f352,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1939,plain,
spl0_92,
inference(avatar_split_clause,[],[f347,f1937]) ).
fof(f1937,plain,
( spl0_92
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f347,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1935,plain,
spl0_91,
inference(avatar_split_clause,[],[f346,f1933]) ).
fof(f1933,plain,
( spl0_91
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f346,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1931,plain,
spl0_90,
inference(avatar_split_clause,[],[f345,f1929]) ).
fof(f1929,plain,
( spl0_90
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f345,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1927,plain,
spl0_89,
inference(avatar_split_clause,[],[f344,f1925]) ).
fof(f1925,plain,
( spl0_89
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f344,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1923,plain,
spl0_88,
inference(avatar_split_clause,[],[f343,f1921]) ).
fof(f1921,plain,
( spl0_88
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f343,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1919,plain,
spl0_87,
inference(avatar_split_clause,[],[f338,f1917]) ).
fof(f1917,plain,
( spl0_87
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f338,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1915,plain,
spl0_86,
inference(avatar_split_clause,[],[f337,f1913]) ).
fof(f1913,plain,
( spl0_86
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f337,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1911,plain,
spl0_85,
inference(avatar_split_clause,[],[f336,f1909]) ).
fof(f1909,plain,
( spl0_85
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f336,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1907,plain,
spl0_84,
inference(avatar_split_clause,[],[f335,f1905]) ).
fof(f1905,plain,
( spl0_84
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f335,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1903,plain,
spl0_83,
inference(avatar_split_clause,[],[f334,f1901]) ).
fof(f1901,plain,
( spl0_83
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f334,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1899,plain,
spl0_82,
inference(avatar_split_clause,[],[f333,f1897]) ).
fof(f1897,plain,
( spl0_82
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f333,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1895,plain,
spl0_81,
inference(avatar_split_clause,[],[f332,f1893]) ).
fof(f1893,plain,
( spl0_81
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f332,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1891,plain,
spl0_80,
inference(avatar_split_clause,[],[f328,f1889]) ).
fof(f1889,plain,
( spl0_80
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f328,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1887,plain,
spl0_79,
inference(avatar_split_clause,[],[f327,f1885]) ).
fof(f1885,plain,
( spl0_79
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f327,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1883,plain,
spl0_78,
inference(avatar_split_clause,[],[f326,f1881]) ).
fof(f1881,plain,
( spl0_78
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f326,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1879,plain,
spl0_77,
inference(avatar_split_clause,[],[f319,f1877]) ).
fof(f1877,plain,
( spl0_77
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f319,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1875,plain,
spl0_76,
inference(avatar_split_clause,[],[f260,f1873]) ).
fof(f1873,plain,
( spl0_76
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f260,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1871,plain,
spl0_75,
inference(avatar_split_clause,[],[f259,f1869]) ).
fof(f1869,plain,
( spl0_75
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f259,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1867,plain,
spl0_74,
inference(avatar_split_clause,[],[f258,f1865]) ).
fof(f1865,plain,
( spl0_74
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f258,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1863,plain,
spl0_73,
inference(avatar_split_clause,[],[f257,f1861]) ).
fof(f1861,plain,
( spl0_73
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f257,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1859,plain,
spl0_72,
inference(avatar_split_clause,[],[f256,f1857]) ).
fof(f1857,plain,
( spl0_72
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f256,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1855,plain,
spl0_71,
inference(avatar_split_clause,[],[f255,f1853]) ).
fof(f1853,plain,
( spl0_71
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f255,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1851,plain,
spl0_70,
inference(avatar_split_clause,[],[f254,f1849]) ).
fof(f1849,plain,
( spl0_70
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f254,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1847,plain,
spl0_69,
inference(avatar_split_clause,[],[f253,f1845]) ).
fof(f1845,plain,
( spl0_69
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f253,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1843,plain,
spl0_68,
inference(avatar_split_clause,[],[f98,f1841]) ).
fof(f98,axiom,
! [X0,X1] : c_in(X0,c_UNIV,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1839,plain,
spl0_67,
inference(avatar_split_clause,[],[f66,f1837]) ).
fof(f1837,plain,
( spl0_67
<=> ! [X21] : ~ c_less(X21,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f66,axiom,
! [X21] : ~ c_less(X21,X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1835,plain,
spl0_66,
inference(avatar_split_clause,[],[f64,f1833]) ).
fof(f1833,plain,
( spl0_66
<=> ! [X21] : c_lessequals(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f64,axiom,
! [X21] : c_lessequals(c_0,X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1831,plain,
spl0_65,
inference(avatar_split_clause,[],[f40,f1829]) ).
fof(f1829,plain,
( spl0_65
<=> ! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f40,axiom,
! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1827,plain,
spl0_64,
inference(avatar_split_clause,[],[f39,f1825]) ).
fof(f39,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1823,plain,
spl0_63,
inference(avatar_split_clause,[],[f23,f1821]) ).
fof(f1821,plain,
( spl0_63
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f23,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1819,plain,
spl0_62,
inference(avatar_split_clause,[],[f1487,f1816]) ).
fof(f1487,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1814,plain,
~ spl0_61,
inference(avatar_split_clause,[],[f1452,f1811]) ).
fof(f1811,plain,
( spl0_61
<=> c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1452,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__2__iff1_0) ).
fof(f1809,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f1410,f1806]) ).
fof(f1806,plain,
( spl0_60
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1410,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).
fof(f1804,plain,
~ spl0_59,
inference(avatar_split_clause,[],[f1325,f1801]) ).
fof(f1801,plain,
( spl0_59
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1325,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1799,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f1280,f1796]) ).
fof(f1796,plain,
( spl0_58
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1280,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1794,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f1188,f1791]) ).
fof(f1791,plain,
( spl0_57
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1188,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1789,plain,
spl0_56,
inference(avatar_split_clause,[],[f249,f1787]) ).
fof(f1787,plain,
( spl0_56
<=> ! [X37] : class_Orderings_Oorder(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f249,axiom,
! [X37] : class_Orderings_Oorder(tc_set(X37)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1785,plain,
spl0_55,
inference(avatar_split_clause,[],[f248,f1783]) ).
fof(f1783,plain,
( spl0_55
<=> ! [X37] : class_Orderings_Oord(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f248,axiom,
! [X37] : class_Orderings_Oord(tc_set(X37)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1781,plain,
spl0_54,
inference(avatar_split_clause,[],[f126,f1778]) ).
fof(f1778,plain,
( spl0_54
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1776,plain,
spl0_53,
inference(avatar_split_clause,[],[f124,f1773]) ).
fof(f1773,plain,
( spl0_53
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1771,plain,
spl0_52,
inference(avatar_split_clause,[],[f123,f1769]) ).
fof(f1769,plain,
( spl0_52
<=> ! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f123,axiom,
! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1767,plain,
spl0_51,
inference(avatar_split_clause,[],[f244,f1764]) ).
fof(f1764,plain,
( spl0_51
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1762,plain,
spl0_50,
inference(avatar_split_clause,[],[f243,f1759]) ).
fof(f1759,plain,
( spl0_50
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1757,plain,
spl0_49,
inference(avatar_split_clause,[],[f242,f1754]) ).
fof(f1754,plain,
( spl0_49
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1752,plain,
spl0_48,
inference(avatar_split_clause,[],[f241,f1749]) ).
fof(f1749,plain,
( spl0_48
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1747,plain,
spl0_47,
inference(avatar_split_clause,[],[f236,f1744]) ).
fof(f1744,plain,
( spl0_47
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1742,plain,
spl0_46,
inference(avatar_split_clause,[],[f235,f1739]) ).
fof(f1739,plain,
( spl0_46
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1737,plain,
spl0_45,
inference(avatar_split_clause,[],[f234,f1734]) ).
fof(f1734,plain,
( spl0_45
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1732,plain,
spl0_44,
inference(avatar_split_clause,[],[f233,f1729]) ).
fof(f1729,plain,
( spl0_44
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1727,plain,
spl0_43,
inference(avatar_split_clause,[],[f232,f1724]) ).
fof(f1724,plain,
( spl0_43
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1722,plain,
spl0_42,
inference(avatar_split_clause,[],[f231,f1719]) ).
fof(f1719,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1717,plain,
spl0_41,
inference(avatar_split_clause,[],[f230,f1714]) ).
fof(f1714,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1712,plain,
spl0_40,
inference(avatar_split_clause,[],[f229,f1709]) ).
fof(f1709,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1707,plain,
spl0_39,
inference(avatar_split_clause,[],[f228,f1704]) ).
fof(f1704,plain,
( spl0_39
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1702,plain,
spl0_38,
inference(avatar_split_clause,[],[f227,f1699]) ).
fof(f1699,plain,
( spl0_38
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1697,plain,
spl0_37,
inference(avatar_split_clause,[],[f226,f1694]) ).
fof(f1694,plain,
( spl0_37
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1692,plain,
spl0_36,
inference(avatar_split_clause,[],[f225,f1689]) ).
fof(f1689,plain,
( spl0_36
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1687,plain,
spl0_35,
inference(avatar_split_clause,[],[f221,f1684]) ).
fof(f1684,plain,
( spl0_35
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1682,plain,
spl0_34,
inference(avatar_split_clause,[],[f210,f1679]) ).
fof(f1679,plain,
( spl0_34
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1677,plain,
spl0_33,
inference(avatar_split_clause,[],[f195,f1674]) ).
fof(f1674,plain,
( spl0_33
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1672,plain,
spl0_32,
inference(avatar_split_clause,[],[f194,f1669]) ).
fof(f1669,plain,
( spl0_32
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1667,plain,
spl0_31,
inference(avatar_split_clause,[],[f183,f1664]) ).
fof(f1664,plain,
( spl0_31
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1662,plain,
spl0_30,
inference(avatar_split_clause,[],[f181,f1659]) ).
fof(f1659,plain,
( spl0_30
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1657,plain,
spl0_29,
inference(avatar_split_clause,[],[f180,f1654]) ).
fof(f1654,plain,
( spl0_29
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1652,plain,
spl0_28,
inference(avatar_split_clause,[],[f178,f1649]) ).
fof(f1649,plain,
( spl0_28
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1647,plain,
spl0_27,
inference(avatar_split_clause,[],[f177,f1644]) ).
fof(f1644,plain,
( spl0_27
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1642,plain,
spl0_26,
inference(avatar_split_clause,[],[f176,f1639]) ).
fof(f1639,plain,
( spl0_26
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1637,plain,
spl0_25,
inference(avatar_split_clause,[],[f175,f1634]) ).
fof(f1634,plain,
( spl0_25
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1632,plain,
spl0_24,
inference(avatar_split_clause,[],[f174,f1629]) ).
fof(f1629,plain,
( spl0_24
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1627,plain,
spl0_23,
inference(avatar_split_clause,[],[f173,f1624]) ).
fof(f1624,plain,
( spl0_23
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1622,plain,
spl0_22,
inference(avatar_split_clause,[],[f172,f1619]) ).
fof(f1619,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1617,plain,
spl0_21,
inference(avatar_split_clause,[],[f171,f1614]) ).
fof(f1614,plain,
( spl0_21
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1612,plain,
spl0_20,
inference(avatar_split_clause,[],[f170,f1609]) ).
fof(f1609,plain,
( spl0_20
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1607,plain,
spl0_19,
inference(avatar_split_clause,[],[f169,f1604]) ).
fof(f1604,plain,
( spl0_19
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1602,plain,
spl0_18,
inference(avatar_split_clause,[],[f168,f1599]) ).
fof(f1599,plain,
( spl0_18
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1597,plain,
spl0_17,
inference(avatar_split_clause,[],[f167,f1594]) ).
fof(f1594,plain,
( spl0_17
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1592,plain,
spl0_16,
inference(avatar_split_clause,[],[f166,f1589]) ).
fof(f1589,plain,
( spl0_16
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1587,plain,
spl0_15,
inference(avatar_split_clause,[],[f165,f1584]) ).
fof(f1584,plain,
( spl0_15
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1582,plain,
spl0_14,
inference(avatar_split_clause,[],[f164,f1579]) ).
fof(f1579,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1577,plain,
spl0_13,
inference(avatar_split_clause,[],[f162,f1574]) ).
fof(f1574,plain,
( spl0_13
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1572,plain,
spl0_12,
inference(avatar_split_clause,[],[f161,f1569]) ).
fof(f1569,plain,
( spl0_12
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1567,plain,
spl0_11,
inference(avatar_split_clause,[],[f160,f1564]) ).
fof(f1564,plain,
( spl0_11
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1562,plain,
spl0_10,
inference(avatar_split_clause,[],[f159,f1559]) ).
fof(f1559,plain,
( spl0_10
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1557,plain,
spl0_9,
inference(avatar_split_clause,[],[f158,f1554]) ).
fof(f1554,plain,
( spl0_9
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1552,plain,
spl0_8,
inference(avatar_split_clause,[],[f157,f1549]) ).
fof(f1549,plain,
( spl0_8
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1547,plain,
spl0_7,
inference(avatar_split_clause,[],[f156,f1544]) ).
fof(f1544,plain,
( spl0_7
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1542,plain,
spl0_6,
inference(avatar_split_clause,[],[f155,f1539]) ).
fof(f1539,plain,
( spl0_6
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1537,plain,
spl0_5,
inference(avatar_split_clause,[],[f154,f1534]) ).
fof(f1534,plain,
( spl0_5
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f1532,plain,
spl0_4,
inference(avatar_split_clause,[],[f1486,f1529]) ).
fof(f1486,axiom,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1527,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f1485,f1524]) ).
fof(f1485,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1522,plain,
spl0_2,
inference(avatar_split_clause,[],[f1477,f1519]) ).
fof(f1519,plain,
( spl0_2
<=> c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1477,axiom,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1517,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f1476,f1514]) ).
fof(f1476,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV302-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:33:13 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9035)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (9040)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)
% 0.20/0.41 % (9038)WARNING: value z3 for option sas not known
% 0.20/0.41 % (9036)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.41 % (9037)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.41 % (9039)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.41 % (9038)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)
% 0.20/0.41 % (9041)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)
% 0.20/0.41 % (9042)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)
% 0.20/0.46 % (9040)First to succeed.
% 0.20/0.48 % (9040)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (9040)------------------------------
% 0.20/0.50 % (9040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.50 % (9040)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (9040)Memory used [KB]: 3227
% 0.20/0.50 % (9040)Time elapsed: 0.076 s
% 0.20/0.50 % (9040)Instructions burned: 164 (million)
% 0.20/0.50 % (9040)------------------------------
% 0.20/0.50 % (9040)------------------------------
% 0.20/0.50 % (9035)Success in time 0.134 s
%------------------------------------------------------------------------------