TSTP Solution File: SWV724-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV724-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 11:10:32 EDT 2024
% Result : Unsatisfiable 2.19s 0.66s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 841
% Syntax : Number of formulae : 1408 ( 609 unt; 0 def)
% Number of atoms : 2698 ( 528 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 2199 ( 909 ~; 855 |; 0 &)
% ( 435 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 448 ( 446 usr; 436 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 16 con; 0-9 aty)
% Number of variables : 2555 (2555 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7364,plain,
$false,
inference(avatar_sat_refutation,[],[f647,f652,f657,f662,f667,f672,f677,f682,f687,f692,f697,f702,f707,f712,f717,f722,f726,f731,f735,f739,f748,f749,f753,f757,f761,f765,f769,f773,f777,f782,f787,f791,f795,f799,f803,f807,f811,f815,f819,f823,f827,f831,f835,f839,f843,f847,f851,f855,f859,f863,f867,f871,f875,f879,f883,f887,f891,f895,f899,f910,f914,f918,f922,f926,f930,f934,f938,f942,f946,f950,f954,f958,f962,f967,f971,f983,f987,f991,f995,f999,f1003,f1007,f1011,f1015,f1019,f1023,f1027,f1031,f1035,f1039,f1043,f1047,f1051,f1055,f1059,f1063,f1068,f1088,f1096,f1100,f1104,f1108,f1112,f1116,f1120,f1124,f1128,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1166,f1170,f1174,f1178,f1182,f1186,f1190,f1194,f1202,f1243,f1247,f1251,f1255,f1259,f1263,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1308,f1313,f1317,f1321,f1325,f1329,f1334,f1339,f1370,f1374,f1379,f1383,f1387,f1391,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1423,f1427,f1431,f1435,f1439,f1443,f1447,f1451,f1455,f1466,f1501,f1541,f1545,f1549,f1553,f1557,f1561,f1565,f1569,f1573,f1577,f1581,f1590,f1594,f1598,f1602,f1606,f1610,f1614,f1618,f1622,f1626,f1631,f1635,f1639,f1760,f1784,f1788,f1792,f1796,f1800,f1804,f1809,f1817,f1821,f1825,f1829,f1833,f1837,f1841,f1845,f1846,f1850,f1854,f1858,f1862,f1866,f1870,f1874,f1878,f1882,f1886,f1890,f1894,f1898,f1902,f1979,f2285,f2289,f2293,f2297,f2301,f2305,f2311,f2315,f2319,f2323,f2327,f2331,f2335,f2339,f2343,f2347,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2400,f2404,f2408,f2413,f2419,f2667,f2897,f2901,f2905,f2909,f2913,f2917,f2921,f2925,f2929,f2933,f2937,f2941,f2945,f2949,f2967,f2971,f2975,f2979,f2983,f2987,f2991,f2995,f2999,f3003,f3007,f3011,f3015,f3019,f3023,f3287,f3451,f3455,f3459,f3463,f3467,f3471,f3475,f3479,f3483,f3487,f3491,f3495,f3499,f3503,f3507,f3511,f3515,f3519,f3523,f3527,f3531,f3535,f3539,f3543,f3547,f3757,f3841,f3845,f3849,f3857,f3861,f3865,f3869,f3873,f3877,f3881,f3885,f3889,f3893,f3897,f3901,f3905,f3909,f4131,f4135,f4143,f4147,f4151,f4155,f4159,f4163,f4167,f4171,f4175,f4179,f4183,f4187,f4191,f4461,f4466,f4470,f4474,f4478,f4482,f4486,f4490,f4494,f4498,f4502,f4506,f4782,f4864,f4868,f4872,f4876,f4880,f4884,f4888,f4892,f4896,f4900,f4904,f5096,f5184,f5188,f5192,f5196,f5200,f5204,f5208,f5209,f5215,f5219,f5223,f5227,f5231,f5235,f5239,f5652,f5762,f5766,f5770,f5774,f5778,f5782,f5786,f6027,f6031,f6035,f6039,f6045,f6049,f6053,f6057,f6405,f6486,f6507,f6511,f6515,f6519,f6524,f6698,f6702,f6706,f6710,f6714,f6718,f6722,f6723,f6896,f6900,f6901,f6905,f6909,f6913,f6917,f6997,f7001,f7005,f7009,f7085,f7089,f7104,f7113,f7117,f7347,f7351,f7355,f7360,f7363]) ).
fof(f7363,plain,
( ~ spl0_22
| ~ spl0_315
| spl0_374 ),
inference(avatar_split_clause,[],[f6040,f5093,f3541,f745]) ).
fof(f745,plain,
( spl0_22
<=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3541,plain,
( spl0_315
<=> ! [X25,X5] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f5093,plain,
( spl0_374
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f6040,plain,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_315
| spl0_374 ),
inference(resolution,[],[f5095,f3542]) ).
fof(f3542,plain,
( ! [X5,X25] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent)) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f3541]) ).
fof(f5095,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))
| spl0_374 ),
inference(avatar_component_clause,[],[f5093]) ).
fof(f7360,plain,
( spl0_435
| ~ spl0_46
| ~ spl0_177
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f7356,f7353,f1555,f845,f7358]) ).
fof(f7358,plain,
( spl0_435
<=> ! [X22,X0,X1] :
( hBOOL(c_in(X22,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f845,plain,
( spl0_46
<=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1555,plain,
( spl0_177
<=> ! [X1] : c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f7353,plain,
( spl0_434
<=> ! [X22,X0,X1] :
( hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f7356,plain,
( ! [X0,X1,X22] :
( hBOOL(c_in(X22,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) )
| ~ spl0_46
| ~ spl0_177
| ~ spl0_434 ),
inference(forward_demodulation,[],[f7354,f1644]) ).
fof(f1644,plain,
( ! [X0] : c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ spl0_46
| ~ spl0_177 ),
inference(superposition,[],[f1556,f846]) ).
fof(f846,plain,
( ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f1556,plain,
( ! [X1] : c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f7354,plain,
( ! [X0,X1,X22] :
( hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) )
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f7353]) ).
fof(f7355,plain,
spl0_434,
inference(avatar_split_clause,[],[f642,f7353]) ).
fof(f642,plain,
! [X0,X1,X22] :
( hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f641,f254]) ).
fof(f254,axiom,
! [X8,X7,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,X5,tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f641,plain,
! [X0,X1,X22] :
( ~ hBOOL(c_in(X22,c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f640,f419]) ).
fof(f419,axiom,
! [X54,X8,X9] : c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8) = c_Set_Oinsert(X9,c_List_Oset(X54,X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f640,plain,
! [X0,X1,X22] :
( ~ hBOOL(c_in(X22,c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f44,f377]) ).
fof(f377,axiom,
! [X8] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_1) ).
fof(f44,axiom,
! [X0,X1,X22] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
fof(f7351,plain,
spl0_433,
inference(avatar_split_clause,[],[f446,f7349]) ).
fof(f7349,plain,
( spl0_433
<=> ! [X35,X0,X2,X1] :
( ~ c_lessequals(X1,X35,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X35),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Set_Oinsert(X0,X35,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f446,axiom,
! [X2,X0,X1,X35] :
( ~ c_lessequals(X1,X35,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X35),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Set_Oinsert(X0,X35,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
fof(f7347,plain,
spl0_432,
inference(avatar_split_clause,[],[f169,f7345]) ).
fof(f7345,plain,
( spl0_432
<=> ! [X58,X7,X5,X26] :
( ~ hBOOL(c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X26),c_Event_Oused(X58),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_ONonce(X26)))),X58,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f169,axiom,
! [X58,X26,X7,X5] :
( ~ hBOOL(c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X26),c_Event_Oused(X58),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_ONonce(X26)))),X58,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
fof(f7117,plain,
spl0_431,
inference(avatar_split_clause,[],[f294,f7115]) ).
fof(f7115,plain,
( spl0_431
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f294,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma2_0) ).
fof(f7113,plain,
spl0_430,
inference(avatar_split_clause,[],[f86,f7111]) ).
fof(f7111,plain,
( spl0_430
<=> ! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X35)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X35)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f86,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X35)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X35)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
fof(f7104,plain,
( spl0_22
| ~ spl0_89
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f4286,f1976,f1033,f745]) ).
fof(f1033,plain,
( spl0_89
<=> ! [X9,X5,X8] : hBOOL(c_in(X9,c_Set_Oinsert(X9,X5,X8),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1976,plain,
( spl0_227
<=> c_Event_Obad = c_Set_Oinsert(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f4286,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_89
| ~ spl0_227 ),
inference(superposition,[],[f1034,f1978]) ).
fof(f1978,plain,
( c_Event_Obad = c_Set_Oinsert(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f1034,plain,
( ! [X8,X9,X5] : hBOOL(c_in(X9,c_Set_Oinsert(X9,X5,X8),X8))
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f7089,plain,
spl0_429,
inference(avatar_split_clause,[],[f639,f7087]) ).
fof(f7087,plain,
( spl0_429
<=> ! [X61,X0,X1] :
( hBOOL(c_in(X61,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X61,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f639,plain,
! [X0,X1,X61] :
( hBOOL(c_in(X61,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X61,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f438,f254]) ).
fof(f438,axiom,
! [X0,X1,X61] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X61,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X61,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
fof(f7085,plain,
spl0_428,
inference(avatar_split_clause,[],[f351,f7083]) ).
fof(f7083,plain,
( spl0_428
<=> ! [X48,X46,X47,X8,X44,X10,X45,X42,X43,X20] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OCrypt(X10,X20),X8) = hAPP(hAPP(hAPP(X48,X10),X20),c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,X20,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f351,axiom,
! [X48,X46,X10,X47,X8,X44,X45,X42,X43,X20] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OCrypt(X10,X20),X8) = hAPP(hAPP(hAPP(X48,X10),X20),c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,X20,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I7_J_0) ).
fof(f7009,plain,
spl0_427,
inference(avatar_split_clause,[],[f636,f7007]) ).
fof(f7007,plain,
( spl0_427
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f636,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f635,f419]) ).
fof(f635,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f634,f377]) ).
fof(f634,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f172,f254]) ).
fof(f172,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
fof(f7005,plain,
spl0_426,
inference(avatar_split_clause,[],[f593,f7003]) ).
fof(f7003,plain,
( spl0_426
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f593,plain,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(definition_unfolding,[],[f405,f266]) ).
fof(f266,axiom,
! [X0,X9] : c_Message_OHPair(X0,X9) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X9)),X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__eq__HPair_2) ).
fof(f405,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_OHPair(X0,X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_HPair__synth__analz_0) ).
fof(f7001,plain,
spl0_425,
inference(avatar_split_clause,[],[f356,f6999]) ).
fof(f6999,plain,
( spl0_425
<=> ! [X7,X8,X5,X69,X52] :
( ~ c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X69,tc_fun(X8,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X52,X69,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f356,axiom,
! [X8,X69,X7,X52,X5] :
( ~ c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X69,tc_fun(X8,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X52,X69,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).
fof(f6997,plain,
spl0_424,
inference(avatar_split_clause,[],[f148,f6995]) ).
fof(f6995,plain,
( spl0_424
<=> ! [X2,X26,X0,X5,X25,X7] :
( hBOOL(c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X26,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X2,X0))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f148,axiom,
! [X2,X0,X26,X7,X5,X25] :
( hBOOL(c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X26,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X2,X0))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
fof(f6917,plain,
spl0_423,
inference(avatar_split_clause,[],[f518,f6915]) ).
fof(f6915,plain,
( spl0_423
<=> ! [X0,X76,X7] :
( ~ hBOOL(c_in(X76,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X76))),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X7,X0),X76,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f518,axiom,
! [X0,X76,X7] :
( ~ hBOOL(c_in(X76,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X76))),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X7,X0),X76,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
fof(f6913,plain,
spl0_422,
inference(avatar_split_clause,[],[f442,f6911]) ).
fof(f6911,plain,
( spl0_422
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f442,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
fof(f6909,plain,
spl0_421,
inference(avatar_split_clause,[],[f416,f6907]) ).
fof(f6907,plain,
( spl0_421
<=> ! [X9,X5,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) = X5
| ~ c_lessequals(X5,c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f416,axiom,
! [X8,X9,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) = X5
| ~ c_lessequals(X5,c_Set_Oinsert(X9,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
fof(f6905,plain,
spl0_420,
inference(avatar_split_clause,[],[f238,f6903]) ).
fof(f6903,plain,
( spl0_420
<=> ! [X8,X4,X64,X22,X37] :
( X4 = X64
| X4 = X22
| c_Set_Oinsert(X37,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) != c_Set_Oinsert(X22,c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f238,axiom,
! [X37,X8,X4,X22,X64] :
( X4 = X64
| X4 = X22
| c_Set_Oinsert(X37,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) != c_Set_Oinsert(X22,c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
fof(f6901,plain,
( spl0_131
| ~ spl0_69
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f4285,f1976,f944,f1265]) ).
fof(f1265,plain,
( spl0_131
<=> hBOOL(hAPP(c_Event_Obad,v_A)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f944,plain,
( spl0_69
<=> ! [X9,X5,X8] : hBOOL(hAPP(c_Set_Oinsert(X9,X5,X8),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f4285,plain,
( hBOOL(hAPP(c_Event_Obad,v_A))
| ~ spl0_69
| ~ spl0_227 ),
inference(superposition,[],[f945,f1978]) ).
fof(f945,plain,
( ! [X8,X9,X5] : hBOOL(hAPP(c_Set_Oinsert(X9,X5,X8),X9))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f6900,plain,
spl0_419,
inference(avatar_split_clause,[],[f236,f6898]) ).
fof(f6898,plain,
( spl0_419
<=> ! [X37,X4,X64,X8,X22] :
( X22 = X37
| X4 = X22
| c_Set_Oinsert(X37,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) != c_Set_Oinsert(X22,c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f236,axiom,
! [X37,X8,X4,X22,X64] :
( X22 = X37
| X4 = X22
| c_Set_Oinsert(X37,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) != c_Set_Oinsert(X22,c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
fof(f6896,plain,
spl0_418,
inference(avatar_split_clause,[],[f1,f6894]) ).
fof(f6894,plain,
( spl0_418
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
fof(f6723,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_204
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f6406,f6051,f1806,f644,f745]) ).
fof(f644,plain,
( spl0_1
<=> hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1806,plain,
( spl0_204
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f6051,plain,
( spl0_402
<=> ! [X25,X5] :
( hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f6406,plain,
( ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_204
| ~ spl0_402 ),
inference(resolution,[],[f6052,f1808]) ).
fof(f1808,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f6052,plain,
( ! [X5,X25] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent)) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f6051]) ).
fof(f6722,plain,
spl0_417,
inference(avatar_split_clause,[],[f622,f6720]) ).
fof(f6720,plain,
( spl0_417
<=> ! [X0,X1,X3] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f622,plain,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f621,f419]) ).
fof(f621,plain,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f620,f419]) ).
fof(f620,plain,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f619,f377]) ).
fof(f619,plain,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f618,f259]) ).
fof(f259,axiom,
! [X37,X8,X5] : c_Set_Oinsert(X37,X5,X8) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X5,tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
fof(f618,plain,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f81,f201]) ).
fof(f201,axiom,
! [X1,X35] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un_0) ).
fof(f81,axiom,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
fof(f6718,plain,
spl0_416,
inference(avatar_split_clause,[],[f526,f6716]) ).
fof(f6716,plain,
( spl0_416
<=> ! [X5,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),X0),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f526,axiom,
! [X0,X1,X5] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),X0),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
fof(f6714,plain,
spl0_415,
inference(avatar_split_clause,[],[f409,f6712]) ).
fof(f6712,plain,
( spl0_415
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f409,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__synth__analz_0) ).
fof(f6710,plain,
spl0_414,
inference(avatar_split_clause,[],[f222,f6708]) ).
fof(f6708,plain,
( spl0_414
<=> ! [X2,X33,X60,X0,X6,X5,X25,X7] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X33,X5,c_Message_Omsg_OCrypt(X60,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X2,X0))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f222,axiom,
! [X2,X0,X6,X7,X5,X25,X60,X33] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X33,X5,c_Message_Omsg_OCrypt(X60,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X2,X0))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
fof(f6706,plain,
spl0_413,
inference(avatar_split_clause,[],[f221,f6704]) ).
fof(f6704,plain,
( spl0_413
<=> ! [X48,X46,X47,X8,X44,X45,X42,X43,X20] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OHash(X20),X8) = hAPP(hAPP(X46,X20),c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,X20,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f221,axiom,
! [X48,X46,X47,X8,X44,X45,X42,X43,X20] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OHash(X20),X8) = hAPP(hAPP(X46,X20),c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,X20,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I5_J_0) ).
fof(f6702,plain,
spl0_412,
inference(avatar_split_clause,[],[f200,f6700]) ).
fof(f6700,plain,
( spl0_412
<=> ! [X58,X7,X5,X26] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X58))
| hBOOL(c_in(c_Message_Omsg_ONonce(X26),c_Event_Oused(X58),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_ONonce(X26)))),X58,tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f200,axiom,
! [X58,X26,X7,X5] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X58))
| hBOOL(c_in(c_Message_Omsg_ONonce(X26),c_Event_Oused(X58),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_ONonce(X26)))),X58,tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
fof(f6698,plain,
spl0_411,
inference(avatar_split_clause,[],[f160,f6696]) ).
fof(f6696,plain,
( spl0_411
<=> ! [X35,X0,X3,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Oparts(c_Set_Oinsert(X0,X35,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f160,axiom,
! [X3,X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Oparts(c_Set_Oinsert(X0,X35,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
fof(f6524,plain,
( spl0_410
| ~ spl0_46
| ~ spl0_177
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f6520,f6517,f1555,f845,f6522]) ).
fof(f6522,plain,
( spl0_410
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f6517,plain,
( spl0_409
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f6520,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) )
| ~ spl0_46
| ~ spl0_177
| ~ spl0_409 ),
inference(forward_demodulation,[],[f6518,f1644]) ).
fof(f6518,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f6517]) ).
fof(f6519,plain,
spl0_409,
inference(avatar_split_clause,[],[f633,f6517]) ).
fof(f633,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f21,f254]) ).
fof(f21,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
fof(f6515,plain,
spl0_408,
inference(avatar_split_clause,[],[f529,f6513]) ).
fof(f6513,plain,
( spl0_408
<=> ! [X25,X5,X0] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f529,axiom,
! [X0,X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f6511,plain,
spl0_407,
inference(avatar_split_clause,[],[f462,f6509]) ).
fof(f6509,plain,
( spl0_407
<=> ! [X35,X75,X74,X1] :
( c_Message_Oanalz(X1) != c_Message_Oanalz(X75)
| c_Message_Oanalz(X35) != c_Message_Oanalz(X74)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X74,X75,tc_fun(tc_Message_Omsg,tc_bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f462,axiom,
! [X1,X35,X74,X75] :
( c_Message_Oanalz(X1) != c_Message_Oanalz(X75)
| c_Message_Oanalz(X35) != c_Message_Oanalz(X74)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X74,X75,tc_fun(tc_Message_Omsg,tc_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cong_0) ).
fof(f6507,plain,
spl0_406,
inference(avatar_split_clause,[],[f352,f6505]) ).
fof(f6505,plain,
( spl0_406
<=> ! [X17,X36,X7,X5,X8] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X36,X5,X17,X8),c_Set_Oimage(X36,X7,X17,X8),tc_fun(X8,tc_bool)) = c_Set_Oimage(X36,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X17,tc_bool)),X17,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f352,axiom,
! [X36,X8,X7,X17,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X36,X5,X17,X8),c_Set_Oimage(X36,X7,X17,X8),tc_fun(X8,tc_bool)) = c_Set_Oimage(X36,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X17,tc_bool)),X17,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
fof(f6486,plain,
spl0_405,
inference(avatar_split_clause,[],[f443,f6484]) ).
fof(f6484,plain,
( spl0_405
<=> ! [X2,X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f443,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
fof(f6405,plain,
( ~ spl0_404
| ~ spl0_122
| spl0_374 ),
inference(avatar_split_clause,[],[f6041,f5093,f1188,f6402]) ).
fof(f6402,plain,
( spl0_404
<=> hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1188,plain,
( spl0_122
<=> ! [X9,X8,X33] :
( ~ hBOOL(hAPP(X33,X9))
| hBOOL(c_in(X9,X33,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f6041,plain,
( ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))
| ~ spl0_122
| spl0_374 ),
inference(resolution,[],[f5095,f1189]) ).
fof(f1189,plain,
( ! [X8,X9,X33] :
( hBOOL(c_in(X9,X33,X8))
| ~ hBOOL(hAPP(X33,X9)) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f6057,plain,
spl0_403,
inference(avatar_split_clause,[],[f611,f6055]) ).
fof(f6055,plain,
( spl0_403
<=> ! [X5,X25,X0,X7] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f611,plain,
! [X0,X7,X5,X25] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f610,f419]) ).
fof(f610,plain,
! [X0,X7,X5,X25] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f79,f377]) ).
fof(f79,axiom,
! [X0,X7,X5,X25] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Says_0) ).
fof(f6053,plain,
spl0_402,
inference(avatar_split_clause,[],[f531,f6051]) ).
fof(f531,axiom,
! [X5,X25] :
( hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
fof(f6049,plain,
spl0_401,
inference(avatar_split_clause,[],[f530,f6047]) ).
fof(f6047,plain,
( spl0_401
<=> ! [X25,X5] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f530,axiom,
! [X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
fof(f6045,plain,
spl0_400,
inference(avatar_split_clause,[],[f497,f6043]) ).
fof(f6043,plain,
( spl0_400
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f497,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
fof(f6039,plain,
spl0_399,
inference(avatar_split_clause,[],[f165,f6037]) ).
fof(f6037,plain,
( spl0_399
<=> ! [X22,X1,X35] :
( hBOOL(c_in(X22,c_Message_Oparts(X1),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(X35),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f165,axiom,
! [X1,X22,X35] :
( hBOOL(c_in(X22,c_Message_Oparts(X1),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(X35),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
fof(f6035,plain,
spl0_398,
inference(avatar_split_clause,[],[f103,f6033]) ).
fof(f6033,plain,
( spl0_398
<=> ! [X7,X8,X5,X52] :
( ~ c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f103,axiom,
! [X8,X7,X52,X5] :
( ~ c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).
fof(f6031,plain,
spl0_397,
inference(avatar_split_clause,[],[f93,f6029]) ).
fof(f6029,plain,
( spl0_397
<=> ! [X7,X8,X5,X52] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X7,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f93,axiom,
! [X8,X7,X52,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X7,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
fof(f6027,plain,
spl0_396,
inference(avatar_split_clause,[],[f92,f6025]) ).
fof(f6025,plain,
( spl0_396
<=> ! [X7,X8,X5,X52] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X7,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X5,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f92,axiom,
! [X8,X7,X52,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X7,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X5,X52,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f5786,plain,
spl0_395,
inference(avatar_split_clause,[],[f609,f5784]) ).
fof(f5784,plain,
( spl0_395
<=> ! [X5,X25,X0] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f609,plain,
! [X0,X5,X25] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f608,f419]) ).
fof(f608,plain,
! [X0,X5,X25] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f173,f377]) ).
fof(f173,axiom,
! [X0,X5,X25] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Notes_0) ).
fof(f5782,plain,
spl0_394,
inference(avatar_split_clause,[],[f599,f5780]) ).
fof(f5780,plain,
( spl0_394
<=> ! [X2,X1,X68] :
( ~ hBOOL(c_in(X2,X68,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X68,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f599,plain,
! [X2,X1,X68] :
( ~ hBOOL(c_in(X2,X68,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X68,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f341,axiom,
! [X2,X1,X68] :
( ~ hBOOL(c_in(X2,X68,tc_nat))
| ~ hBOOL(c_in(X2,X68,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X68,tc_nat,tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
fof(f5778,plain,
spl0_393,
inference(avatar_split_clause,[],[f337,f5776]) ).
fof(f5776,plain,
( spl0_393
<=> ! [X2,X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f337,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
fof(f5774,plain,
spl0_392,
inference(avatar_split_clause,[],[f314,f5772]) ).
fof(f5772,plain,
( spl0_392
<=> ! [X5,X7,X9,X8] :
( X5 = X7
| hBOOL(c_in(X9,X5,X8))
| hBOOL(c_in(X9,X7,X8))
| c_Set_Oinsert(X9,X5,X8) != c_Set_Oinsert(X9,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f314,axiom,
! [X8,X9,X7,X5] :
( X5 = X7
| hBOOL(c_in(X9,X5,X8))
| hBOOL(c_in(X9,X7,X8))
| c_Set_Oinsert(X9,X5,X8) != c_Set_Oinsert(X9,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
fof(f5770,plain,
spl0_391,
inference(avatar_split_clause,[],[f166,f5768]) ).
fof(f5768,plain,
( spl0_391
<=> ! [X1,X35] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X35),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X35),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f166,axiom,
! [X1,X35] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X35),X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X35),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
fof(f5766,plain,
spl0_390,
inference(avatar_split_clause,[],[f43,f5764]) ).
fof(f5764,plain,
( spl0_390
<=> ! [X5,X17,X36,X7,X9,X8] :
( ~ hBOOL(c_in(X9,X5,X17))
| hBOOL(c_in(hAPP(X36,X9),X7,X8))
| ~ c_lessequals(c_Set_Oimage(X36,X5,X17,X8),X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f43,axiom,
! [X36,X8,X9,X7,X17,X5] :
( ~ hBOOL(c_in(X9,X5,X17))
| hBOOL(c_in(hAPP(X36,X9),X7,X8))
| ~ c_lessequals(c_Set_Oimage(X36,X5,X17,X8),X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
fof(f5762,plain,
spl0_389,
inference(avatar_split_clause,[],[f3,f5760]) ).
fof(f5760,plain,
( spl0_389
<=> ! [X2,X1] :
( hBOOL(c_in(X2,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f3,axiom,
! [X2,X1] :
( hBOOL(c_in(X2,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
fof(f5652,plain,
( spl0_131
| ~ spl0_69
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f4285,f1976,f944,f1265]) ).
fof(f5239,plain,
spl0_388,
inference(avatar_split_clause,[],[f625,f5237]) ).
fof(f5237,plain,
( spl0_388
<=> ! [X0,X1,X35] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,X35,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f625,plain,
! [X0,X1,X35] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,X35,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f412,f201]) ).
fof(f412,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,X35,tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
fof(f5235,plain,
spl0_387,
inference(avatar_split_clause,[],[f515,f5233]) ).
fof(f5233,plain,
( spl0_387
<=> ! [X0,X5,X25,X22] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f515,axiom,
! [X0,X22,X25,X5] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
fof(f5231,plain,
spl0_386,
inference(avatar_split_clause,[],[f505,f5229]) ).
fof(f5229,plain,
( spl0_386
<=> ! [X0,X1,X3] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f505,axiom,
! [X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cut_0) ).
fof(f5227,plain,
spl0_385,
inference(avatar_split_clause,[],[f501,f5225]) ).
fof(f5225,plain,
( spl0_385
<=> ! [X25,X5,X0] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f501,axiom,
! [X0,X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
fof(f5223,plain,
spl0_384,
inference(avatar_split_clause,[],[f478,f5221]) ).
fof(f5221,plain,
( spl0_384
<=> ! [X0,X76,X7] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X76))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X76))),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X7,X0),X76,tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f478,axiom,
! [X0,X76,X7] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X76))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X76))),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X7,X0),X76,tc_Event_Oevent))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
fof(f5219,plain,
spl0_383,
inference(avatar_split_clause,[],[f370,f5217]) ).
fof(f5217,plain,
( spl0_383
<=> ! [X2,X0,X1] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f370,axiom,
! [X2,X0,X1] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
fof(f5215,plain,
spl0_382,
inference(avatar_split_clause,[],[f339,f5213]) ).
fof(f5213,plain,
( spl0_382
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f339,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
fof(f5209,plain,
( ~ spl0_151
| spl0_21
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1813,f1188,f741,f1376]) ).
fof(f1376,plain,
( spl0_151
<=> hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f741,plain,
( spl0_21
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1813,plain,
( ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))
| spl0_21
| ~ spl0_122 ),
inference(resolution,[],[f743,f1189]) ).
fof(f743,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| spl0_21 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f5208,plain,
spl0_381,
inference(avatar_split_clause,[],[f269,f5206]) ).
fof(f5206,plain,
( spl0_381
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f269,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
fof(f5204,plain,
spl0_380,
inference(avatar_split_clause,[],[f252,f5202]) ).
fof(f5202,plain,
( spl0_380
<=> ! [X0,X1,X3] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f252,axiom,
! [X3,X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
fof(f5200,plain,
spl0_379,
inference(avatar_split_clause,[],[f178,f5198]) ).
fof(f5198,plain,
( spl0_379
<=> ! [X0,X1,X3] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f178,axiom,
! [X3,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X3,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
fof(f5196,plain,
spl0_378,
inference(avatar_split_clause,[],[f177,f5194]) ).
fof(f5194,plain,
( spl0_378
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f177,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
fof(f5192,plain,
spl0_377,
inference(avatar_split_clause,[],[f176,f5190]) ).
fof(f5190,plain,
( spl0_377
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f176,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
fof(f5188,plain,
spl0_376,
inference(avatar_split_clause,[],[f146,f5186]) ).
fof(f5186,plain,
( spl0_376
<=> ! [X0,X1,X3] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f146,axiom,
! [X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__cut_0) ).
fof(f5184,plain,
spl0_375,
inference(avatar_split_clause,[],[f134,f5182]) ).
fof(f5182,plain,
( spl0_375
<=> ! [X5,X17,X36,X9,X8] :
( ~ hBOOL(c_in(X9,X5,X8))
| c_Set_Oimage(X36,X5,X8,X17) = c_Set_Oinsert(hAPP(X36,X9),c_Set_Oimage(X36,X5,X8,X17),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f134,axiom,
! [X36,X8,X9,X17,X5] :
( ~ hBOOL(c_in(X9,X5,X8))
| c_Set_Oimage(X36,X5,X8,X17) = c_Set_Oinsert(hAPP(X36,X9),c_Set_Oimage(X36,X5,X8,X17),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
fof(f5096,plain,
( ~ spl0_374
| spl0_21
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1812,f1441,f741,f5093]) ).
fof(f1441,plain,
( spl0_167
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1812,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))
| spl0_21
| ~ spl0_167 ),
inference(resolution,[],[f743,f1442]) ).
fof(f1442,plain,
( ! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f4904,plain,
spl0_373,
inference(avatar_split_clause,[],[f627,f4902]) ).
fof(f4902,plain,
( spl0_373
<=> ! [X25,X0] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f627,plain,
! [X0,X25] :
( c_lessequals(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f626,f419]) ).
fof(f626,plain,
! [X0,X25] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f33,f377]) ).
fof(f33,axiom,
! [X0,X25] :
( ~ hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
fof(f4900,plain,
spl0_372,
inference(avatar_split_clause,[],[f607,f4898]) ).
fof(f4898,plain,
( spl0_372
<=> ! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f607,plain,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f606,f419]) ).
fof(f606,plain,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f406,f377]) ).
fof(f406,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert_0) ).
fof(f4896,plain,
spl0_371,
inference(avatar_split_clause,[],[f499,f4894]) ).
fof(f4894,plain,
( spl0_371
<=> ! [X25,X5,X0] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f499,axiom,
! [X0,X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
fof(f4892,plain,
spl0_370,
inference(avatar_split_clause,[],[f451,f4890]) ).
fof(f4890,plain,
( spl0_370
<=> ! [X5,X54,X9,X8] :
( hBOOL(c_in(X9,X5,X8))
| ~ hBOOL(c_in(X9,c_List_Oset(X54,X8),X8))
| ~ hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f451,axiom,
! [X8,X54,X9,X5] :
( hBOOL(c_in(X9,X5,X8))
| ~ hBOOL(c_in(X9,c_List_Oset(X54,X8),X8))
| ~ hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_0) ).
fof(f4888,plain,
spl0_369,
inference(avatar_split_clause,[],[f424,f4886]) ).
fof(f4886,plain,
( spl0_369
<=> ! [X5,X17,X36,X9,X8] :
( ~ c_lessequals(X9,X5,tc_fun(X17,tc_bool))
| c_lessequals(c_Set_Oimage(X36,X9,X17,X8),c_Set_Oimage(X36,X5,X17,X8),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f424,axiom,
! [X36,X8,X9,X17,X5] :
( ~ c_lessequals(X9,X5,tc_fun(X17,tc_bool))
| c_lessequals(c_Set_Oimage(X36,X9,X17,X8),c_Set_Oimage(X36,X5,X17,X8),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
fof(f4884,plain,
spl0_368,
inference(avatar_split_clause,[],[f363,f4882]) ).
fof(f4882,plain,
( spl0_368
<=> ! [X5,X7,X9,X8] :
( ~ hBOOL(c_in(X9,X7,X8))
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f363,axiom,
! [X8,X9,X7,X5] :
( ~ hBOOL(c_in(X9,X7,X8))
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f4880,plain,
spl0_367,
inference(avatar_split_clause,[],[f353,f4878]) ).
fof(f4878,plain,
( spl0_367
<=> ! [X0,X1,X3] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f353,axiom,
! [X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
fof(f4876,plain,
spl0_366,
inference(avatar_split_clause,[],[f326,f4874]) ).
fof(f4874,plain,
( spl0_366
<=> ! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ c_lessequals(X1,X35,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X35) = c_Message_Oanalz(c_Set_Oinsert(X0,X35,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f326,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ c_lessequals(X1,X35,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X35) = c_Message_Oanalz(c_Set_Oinsert(X0,X35,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
fof(f4872,plain,
spl0_365,
inference(avatar_split_clause,[],[f309,f4870]) ).
fof(f4870,plain,
( spl0_365
<=> ! [X7,X8,X5,X22] :
( hBOOL(c_in(X22,X7,X8))
| hBOOL(c_in(X22,X5,X8))
| ~ hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f309,axiom,
! [X8,X7,X22,X5] :
( hBOOL(c_in(X22,X7,X8))
| hBOOL(c_in(X22,X5,X8))
| ~ hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f4868,plain,
spl0_364,
inference(avatar_split_clause,[],[f136,f4866]) ).
fof(f4866,plain,
( spl0_364
<=> ! [X5,X7,X9,X8] :
( hBOOL(c_in(X9,X5,X8))
| c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X5,c_Set_Oinsert(X9,X7,X8),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f136,axiom,
! [X8,X9,X7,X5] :
( hBOOL(c_in(X9,X5,X8))
| c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X5,c_Set_Oinsert(X9,X7,X8),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
fof(f4864,plain,
spl0_363,
inference(avatar_split_clause,[],[f99,f4862]) ).
fof(f4862,plain,
( spl0_363
<=> ! [X54,X50,X9,X8] :
( X9 = X50
| hBOOL(c_in(X50,c_List_Oset(X54,X8),X8))
| ~ hBOOL(c_in(X50,c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f99,axiom,
! [X50,X54,X8,X9] :
( X9 = X50
| hBOOL(c_in(X50,c_List_Oset(X54,X8),X8))
| ~ hBOOL(c_in(X50,c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
fof(f4782,plain,
( ~ spl0_362
| ~ spl0_120
| spl0_351 ),
inference(avatar_split_clause,[],[f4507,f4463,f1180,f4779]) ).
fof(f4779,plain,
( spl0_362
<=> c_Event_Obad = c_List_Oset(c_List_Olist_ONil(tc_Message_Oagent),tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1180,plain,
( spl0_120
<=> ! [X8] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X8),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f4463,plain,
( spl0_351
<=> c_Event_Obad = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f4507,plain,
( c_Event_Obad != c_List_Oset(c_List_Olist_ONil(tc_Message_Oagent),tc_Message_Oagent)
| ~ spl0_120
| spl0_351 ),
inference(superposition,[],[f4465,f1181]) ).
fof(f1181,plain,
( ! [X8] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X8),X8)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f4465,plain,
( c_Event_Obad != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool))
| spl0_351 ),
inference(avatar_component_clause,[],[f4463]) ).
fof(f4506,plain,
spl0_361,
inference(avatar_split_clause,[],[f603,f4504]) ).
fof(f4504,plain,
( spl0_361
<=> ! [X37,X7,X8,X52] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X37,X7,X8),X52,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Set_Oinsert(X37,X52,X8),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f603,plain,
! [X37,X8,X7,X52] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X37,X7,X8),X52,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Set_Oinsert(X37,X52,X8),tc_fun(X8,tc_bool)),
inference(forward_demodulation,[],[f144,f145]) ).
fof(f145,axiom,
! [X37,X8,X7,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Set_Oinsert(X37,X7,X8),tc_fun(X8,tc_bool)) = c_Set_Oinsert(X37,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f144,axiom,
! [X37,X8,X7,X52] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X37,X7,X8),X52,tc_fun(X8,tc_bool)) = c_Set_Oinsert(X37,c_Lattices_Oupper__semilattice__class_Osup(X7,X52,tc_fun(X8,tc_bool)),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f4502,plain,
spl0_360,
inference(avatar_split_clause,[],[f504,f4500]) ).
fof(f4500,plain,
( spl0_360
<=> ! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f504,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__trans_0) ).
fof(f4498,plain,
spl0_359,
inference(avatar_split_clause,[],[f480,f4496]) ).
fof(f4496,plain,
( spl0_359
<=> ! [X25,X5,X0] :
( c_Message_Oagent_OSpy = X5
| hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f480,axiom,
! [X0,X5,X25] :
( c_Message_Oagent_OSpy = X5
| hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OGets(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
fof(f4494,plain,
spl0_358,
inference(avatar_split_clause,[],[f374,f4492]) ).
fof(f4492,plain,
( spl0_358
<=> ! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f374,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__trans_0) ).
fof(f4490,plain,
spl0_357,
inference(avatar_split_clause,[],[f354,f4488]) ).
fof(f4488,plain,
( spl0_357
<=> ! [X37,X17,X36,X8,X7] : c_Set_Oinsert(hAPP(X36,X37),c_Set_Oimage(X36,X7,X17,X8),X8) = c_Set_Oimage(X36,c_Set_Oinsert(X37,X7,X17),X17,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f354,axiom,
! [X36,X37,X8,X7,X17] : c_Set_Oinsert(hAPP(X36,X37),c_Set_Oimage(X36,X7,X17,X8),X8) = c_Set_Oimage(X36,c_Set_Oinsert(X37,X7,X17),X17,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
fof(f4486,plain,
spl0_356,
inference(avatar_split_clause,[],[f203,f4484]) ).
fof(f4484,plain,
( spl0_356
<=> ! [X1,X35] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f203,axiom,
! [X1,X35] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__Un_0) ).
fof(f4482,plain,
spl0_355,
inference(avatar_split_clause,[],[f196,f4480]) ).
fof(f4480,plain,
( spl0_355
<=> ! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f196,axiom,
! [X0,X1,X35] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X35),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
fof(f4478,plain,
spl0_354,
inference(avatar_split_clause,[],[f145,f4476]) ).
fof(f4476,plain,
( spl0_354
<=> ! [X37,X7,X5,X8] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Set_Oinsert(X37,X7,X8),tc_fun(X8,tc_bool)) = c_Set_Oinsert(X37,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f4474,plain,
spl0_353,
inference(avatar_split_clause,[],[f61,f4472]) ).
fof(f4472,plain,
( spl0_353
<=> ! [X1,X35] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f61,axiom,
! [X1,X35] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Un_0) ).
fof(f4470,plain,
spl0_352,
inference(avatar_split_clause,[],[f57,f4468]) ).
fof(f4468,plain,
( spl0_352
<=> ! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f57,axiom,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__synth_0) ).
fof(f4466,plain,
( ~ spl0_351
| ~ spl0_119
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f4288,f1976,f1176,f4463]) ).
fof(f1176,plain,
( spl0_119
<=> ! [X5,X8,X37] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Set_Oinsert(X37,X5,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f4288,plain,
( c_Event_Obad != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool))
| ~ spl0_119
| ~ spl0_227 ),
inference(superposition,[],[f1177,f1978]) ).
fof(f1177,plain,
( ! [X8,X37,X5] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Set_Oinsert(X37,X5,X8)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f4461,plain,
spl0_350,
inference(avatar_split_clause,[],[f52,f4459]) ).
fof(f4459,plain,
( spl0_350
<=> ! [X38,X36,X17] :
( ~ class_Lattices_Olattice(X17)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X36,X38,tc_fun(t_a,X17)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X36,v_x),hAPP(X38,v_x),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f52,axiom,
! [X38,X36,X17] :
( ~ class_Lattices_Olattice(X17)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X36,X38,tc_fun(t_a,X17)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X36,v_x),hAPP(X38,v_x),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
fof(f4191,plain,
spl0_349,
inference(avatar_split_clause,[],[f525,f4189]) ).
fof(f4189,plain,
( spl0_349
<=> ! [X25,X5,X4] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f525,axiom,
! [X4,X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
fof(f4187,plain,
spl0_348,
inference(avatar_split_clause,[],[f495,f4185]) ).
fof(f4185,plain,
( spl0_348
<=> ! [X5,X25,X0,X7] :
( hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f495,axiom,
! [X0,X7,X5,X25] :
( hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f4183,plain,
spl0_347,
inference(avatar_split_clause,[],[f426,f4181]) ).
fof(f4181,plain,
( spl0_347
<=> ! [X37,X8,X69,X52] :
( ~ c_lessequals(X52,X69,tc_fun(X8,tc_bool))
| c_lessequals(c_Set_Oinsert(X37,X52,X8),c_Set_Oinsert(X37,X69,X8),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f426,axiom,
! [X8,X37,X69,X52] :
( ~ c_lessequals(X52,X69,tc_fun(X8,tc_bool))
| c_lessequals(c_Set_Oinsert(X37,X52,X8),c_Set_Oinsert(X37,X69,X8),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f4179,plain,
spl0_346,
inference(avatar_split_clause,[],[f415,f4177]) ).
fof(f4177,plain,
( spl0_346
<=> ! [X25,X5,X0] :
( c_Message_Oagent_OSpy = X5
| c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg) = c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f415,axiom,
! [X0,X5,X25] :
( c_Message_Oagent_OSpy = X5
| c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg) = c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
fof(f4175,plain,
spl0_345,
inference(avatar_split_clause,[],[f392,f4173]) ).
fof(f4173,plain,
( spl0_345
<=> ! [X7,X8,X5,X52] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| c_lessequals(X5,X52,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f392,axiom,
! [X8,X7,X52,X5] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| c_lessequals(X5,X52,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
fof(f4171,plain,
spl0_344,
inference(avatar_split_clause,[],[f295,f4169]) ).
fof(f4169,plain,
( spl0_344
<=> ! [X5,X25,X0,X7] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f295,axiom,
! [X0,X7,X5,X25] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f4167,plain,
spl0_343,
inference(avatar_split_clause,[],[f291,f4165]) ).
fof(f4165,plain,
( spl0_343
<=> ! [X40,X48,X46,X47,X8,X44,X45,X39,X42,X43] : hAPP(hAPP(X47,X39),X40) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OMPair(X39,X40),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f291,axiom,
! [X40,X39,X46,X48,X47,X8,X44,X45,X42,X43] : hAPP(hAPP(X47,X39),X40) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OMPair(X39,X40),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I55_J_0) ).
fof(f4163,plain,
spl0_342,
inference(avatar_split_clause,[],[f263,f4161]) ).
fof(f4161,plain,
( spl0_342
<=> ! [X48,X46,X47,X8,X44,X10,X45,X42,X43,X20] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OCrypt(X10,X20),X8) = hAPP(hAPP(X48,X10),X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f263,axiom,
! [X48,X46,X10,X47,X8,X44,X45,X42,X43,X20] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OCrypt(X10,X20),X8) = hAPP(hAPP(X48,X10),X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I56_J_0) ).
fof(f4159,plain,
spl0_341,
inference(avatar_split_clause,[],[f260,f4157]) ).
fof(f4157,plain,
( spl0_341
<=> ! [X5,X8,X7] : c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f260,axiom,
! [X8,X7,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
fof(f4155,plain,
spl0_340,
inference(avatar_split_clause,[],[f205,f4153]) ).
fof(f4153,plain,
( spl0_340
<=> ! [X54,X5,X8] :
( hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8)))
| hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(X5,X54,X8),c_List_Oset(X54,X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f205,axiom,
! [X54,X8,X5] :
( hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8)))
| hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(X5,X54,X8),c_List_Oset(X54,X8),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_1) ).
fof(f4151,plain,
spl0_339,
inference(avatar_split_clause,[],[f115,f4149]) ).
fof(f4149,plain,
( spl0_339
<=> ! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f115,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
fof(f4147,plain,
spl0_338,
inference(avatar_split_clause,[],[f113,f4145]) ).
fof(f4145,plain,
( spl0_338
<=> ! [X4,X37,X8] :
( X4 = X37
| c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) != c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f113,axiom,
! [X37,X8,X4] :
( X4 = X37
| c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) != c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
fof(f4143,plain,
spl0_337,
inference(avatar_split_clause,[],[f31,f4141]) ).
fof(f4141,plain,
( spl0_337
<=> ! [X22,X9,X23,X4] :
( hBOOL(c_in(X9,X23,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f31,axiom,
! [X9,X4,X22,X23] :
( hBOOL(c_in(X9,X23,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
fof(f4135,plain,
( spl0_336
| spl0_22
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f4124,f3907,f745,f4133]) ).
fof(f4133,plain,
( spl0_336
<=> ! [X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f3907,plain,
( spl0_334
<=> ! [X25,X5,X0] :
( hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X25) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f4124,plain,
( ! [X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,X1),X0,tc_Event_Oevent))
| spl0_22
| ~ spl0_334 ),
inference(resolution,[],[f3908,f747]) ).
fof(f747,plain,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| spl0_22 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f3908,plain,
( ! [X0,X5,X25] :
( hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X25) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f3907]) ).
fof(f4131,plain,
spl0_335,
inference(avatar_split_clause,[],[f16,f4129]) ).
fof(f4129,plain,
( spl0_335
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X2,c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X2,c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f3909,plain,
spl0_334,
inference(avatar_split_clause,[],[f519,f3907]) ).
fof(f519,axiom,
! [X0,X5,X25] :
( hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X25) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
fof(f3905,plain,
spl0_333,
inference(avatar_split_clause,[],[f507,f3903]) ).
fof(f3903,plain,
( spl0_333
<=> ! [X22,X5,X35] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X5,X35,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f507,axiom,
! [X22,X35,X5] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X5,X35,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
fof(f3901,plain,
spl0_332,
inference(avatar_split_clause,[],[f479,f3899]) ).
fof(f3899,plain,
( spl0_332
<=> ! [X5,X25,X0,X7] :
( hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f479,axiom,
! [X0,X7,X5,X25] :
( hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
fof(f3897,plain,
( spl0_331
| ~ spl0_212
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f3851,f3755,f1843,f3895]) ).
fof(f3895,plain,
( spl0_331
<=> ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),v_evs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f1843,plain,
( spl0_212
<=> ! [X5,X8,X7] : c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,X5,tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f3755,plain,
( spl0_317
<=> ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),v_evs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f3851,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),v_evs))
| ~ spl0_212
| ~ spl0_317 ),
inference(superposition,[],[f3756,f1844]) ).
fof(f1844,plain,
( ! [X8,X7,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X7,X5,tc_fun(X8,tc_bool))
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f3756,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),v_evs))
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f3755]) ).
fof(f3893,plain,
spl0_330,
inference(avatar_split_clause,[],[f421,f3891]) ).
fof(f3891,plain,
( spl0_330
<=> ! [X0,X5,X25,X7] :
( hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f421,axiom,
! [X0,X7,X5,X25] :
( hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
fof(f3889,plain,
spl0_329,
inference(avatar_split_clause,[],[f387,f3887]) ).
fof(f3887,plain,
( spl0_329
<=> ! [X52,X5,X8,X7] :
( c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f387,axiom,
! [X8,X7,X52,X5] :
( c_lessequals(X7,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
fof(f3885,plain,
spl0_328,
inference(avatar_split_clause,[],[f386,f3883]) ).
fof(f3883,plain,
( spl0_328
<=> ! [X7,X8,X5,X52] :
( c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f386,axiom,
! [X8,X7,X52,X5] :
( c_lessequals(X5,X52,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X52,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
fof(f3881,plain,
spl0_327,
inference(avatar_split_clause,[],[f329,f3879]) ).
fof(f3879,plain,
( spl0_327
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f329,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
fof(f3877,plain,
spl0_326,
inference(avatar_split_clause,[],[f259,f3875]) ).
fof(f3875,plain,
( spl0_326
<=> ! [X5,X8,X37] : c_Set_Oinsert(X37,X5,X8) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X5,tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f3873,plain,
spl0_325,
inference(avatar_split_clause,[],[f245,f3871]) ).
fof(f3871,plain,
( spl0_325
<=> ! [X5,X8,X7] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f245,axiom,
! [X8,X7,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).
fof(f3869,plain,
spl0_324,
inference(avatar_split_clause,[],[f244,f3867]) ).
fof(f3867,plain,
( spl0_324
<=> ! [X5,X7,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X7
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f244,axiom,
! [X8,X7,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X7
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).
fof(f3865,plain,
spl0_323,
inference(avatar_split_clause,[],[f186,f3863]) ).
fof(f3863,plain,
( spl0_323
<=> ! [X5,X7,X9,X8] :
( hBOOL(hAPP(X7,X9))
| hBOOL(hAPP(X5,X9))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f186,axiom,
! [X8,X9,X7,X5] :
( hBOOL(hAPP(X7,X9))
| hBOOL(hAPP(X5,X9))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
fof(f3861,plain,
spl0_322,
inference(avatar_split_clause,[],[f108,f3859]) ).
fof(f3859,plain,
( spl0_322
<=> ! [X53,X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X53,X8)
| ~ c_lessequals(X50,X53,X8)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f108,axiom,
! [X50,X8,X9,X53] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X53,X8)
| ~ c_lessequals(X50,X53,X8)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
fof(f3857,plain,
spl0_321,
inference(avatar_split_clause,[],[f98,f3855]) ).
fof(f3855,plain,
( spl0_321
<=> ! [X53,X50,X9,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f98,axiom,
! [X50,X8,X9,X53] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
fof(f3849,plain,
spl0_320,
inference(avatar_split_clause,[],[f97,f3847]) ).
fof(f3847,plain,
( spl0_320
<=> ! [X53,X50,X9,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X53,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f97,axiom,
! [X50,X8,X9,X53] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X53,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
fof(f3845,plain,
spl0_319,
inference(avatar_split_clause,[],[f95,f3843]) ).
fof(f3843,plain,
( spl0_319
<=> ! [X53,X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X53,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f95,axiom,
! [X50,X8,X9,X53] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X53,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
fof(f3841,plain,
spl0_318,
inference(avatar_split_clause,[],[f94,f3839]) ).
fof(f3839,plain,
( spl0_318
<=> ! [X53,X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f94,axiom,
! [X50,X8,X9,X53] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X53,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X50,X53,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
fof(f3757,plain,
( spl0_317
| ~ spl0_123
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f3649,f3485,f1192,f3755]) ).
fof(f1192,plain,
( spl0_123
<=> ! [X9,X8,X33] :
( hBOOL(hAPP(X33,X9))
| ~ hBOOL(c_in(X9,X33,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f3485,plain,
( spl0_301
<=> ! [X0] : hBOOL(c_in(v_evs,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f3649,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),v_evs))
| ~ spl0_123
| ~ spl0_301 ),
inference(resolution,[],[f3486,f1193]) ).
fof(f1193,plain,
( ! [X8,X9,X33] :
( ~ hBOOL(c_in(X9,X33,X8))
| hBOOL(hAPP(X33,X9)) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f3486,plain,
( ! [X0] : hBOOL(c_in(v_evs,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f3485]) ).
fof(f3547,plain,
spl0_316,
inference(avatar_split_clause,[],[f586,f3545]) ).
fof(f3545,plain,
( spl0_316
<=> ! [X51,X0,X3,X49] :
( X0 = X49
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),X3) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X49,X51)),X51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f586,plain,
! [X51,X3,X0,X49] :
( X0 = X49
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X3)),X3) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X49,X51)),X51) ),
inference(definition_unfolding,[],[f75,f266,f266]) ).
fof(f75,axiom,
! [X51,X3,X0,X49] :
( X0 = X49
| c_Message_OHPair(X0,X3) != c_Message_OHPair(X49,X51) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_HPair__eq_0) ).
fof(f3543,plain,
spl0_315,
inference(avatar_split_clause,[],[f536,f3541]) ).
fof(f536,axiom,
! [X5,X25] :
( ~ hBOOL(c_in(X5,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
fof(f3539,plain,
spl0_314,
inference(avatar_split_clause,[],[f493,f3537]) ).
fof(f3537,plain,
( spl0_314
<=> ! [X9,X23] :
( hBOOL(c_in(X9,X23,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f493,axiom,
! [X9,X23] :
( hBOOL(c_in(X9,X23,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
fof(f3535,plain,
spl0_313,
inference(avatar_split_clause,[],[f472,f3533]) ).
fof(f3533,plain,
( spl0_313
<=> ! [X48,X46,X47,X8,X44,X10,X45,X42,X43] : hAPP(X45,X10) = c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,hAPP(c_Message_Omsg_OKey,X10),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f472,axiom,
! [X10,X46,X48,X47,X8,X44,X45,X42,X43] : hAPP(X45,X10) = c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,hAPP(c_Message_Omsg_OKey,X10),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I4_J_0) ).
fof(f3531,plain,
( spl0_312
| ~ spl0_154
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2957,f2907,f1389,f3529]) ).
fof(f3529,plain,
( spl0_312
<=> ! [X0] : hBOOL(c_in(v_evs,c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1389,plain,
( spl0_154
<=> ! [X5,X8,X7] : c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f2907,plain,
( spl0_265
<=> ! [X0] :
( ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| hBOOL(c_in(v_evs,X0,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f2957,plain,
( ! [X0] : hBOOL(c_in(v_evs,c_Lattices_Oupper__semilattice__class_Osup(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_154
| ~ spl0_265 ),
inference(resolution,[],[f2908,f1390]) ).
fof(f1390,plain,
( ! [X8,X7,X5] : c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f2908,plain,
( ! [X0] :
( ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| hBOOL(c_in(v_evs,X0,tc_List_Olist(tc_Event_Oevent))) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f3527,plain,
spl0_311,
inference(avatar_split_clause,[],[f463,f3525]) ).
fof(f3525,plain,
( spl0_311
<=> ! [X48,X43,X44,X47,X46,X8,X42,X10,X45] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,hAPP(c_Message_Omsg_OKey,X10),X8) = hAPP(X45,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f463,axiom,
! [X48,X46,X10,X47,X8,X44,X45,X42,X43] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,hAPP(c_Message_Omsg_OKey,X10),X8) = hAPP(X45,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I53_J_0) ).
fof(f3523,plain,
spl0_310,
inference(avatar_split_clause,[],[f461,f3521]) ).
fof(f3521,plain,
( spl0_310
<=> ! [X1,X35] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X35),X1,tc_fun(tc_Message_Omsg,tc_bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f461,axiom,
! [X1,X35] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X35),X1,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
fof(f3519,plain,
spl0_309,
inference(avatar_split_clause,[],[f454,f3517]) ).
fof(f3517,plain,
( spl0_309
<=> ! [X0,X75,X1] :
( c_Message_Oanalz(X1) != c_Message_Oanalz(X75)
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X0,X75,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f454,axiom,
! [X0,X1,X75] :
( c_Message_Oanalz(X1) != c_Message_Oanalz(X75)
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X0,X75,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
fof(f3515,plain,
spl0_308,
inference(avatar_split_clause,[],[f452,f3513]) ).
fof(f3513,plain,
( spl0_308
<=> ! [X54,X5,X8] :
( ~ hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(X5,X54,X8),X5,X8))
| hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f452,axiom,
! [X54,X8,X5] :
( ~ hBOOL(c_in(c_List_Osko__List__Xin__lists__conv__set__1__1(X5,X54,X8),X5,X8))
| hBOOL(c_in(X54,c_List_Olists(X5,X8),tc_List_Olist(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_2) ).
fof(f3511,plain,
spl0_307,
inference(avatar_split_clause,[],[f401,f3509]) ).
fof(f3509,plain,
( spl0_307
<=> ! [X36,X5,X17,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) = X5
| c_Set_Oimage(X36,X5,X17,X8) != c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f401,axiom,
! [X36,X8,X17,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) = X5
| c_Set_Oimage(X36,X5,X17,X8) != c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
fof(f3507,plain,
spl0_306,
inference(avatar_split_clause,[],[f372,f3505]) ).
fof(f3505,plain,
( spl0_306
<=> ! [X0,X5,X25,X7] : c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f372,axiom,
! [X0,X7,X5,X25] : c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f3503,plain,
spl0_305,
inference(avatar_split_clause,[],[f343,f3501]) ).
fof(f3501,plain,
( spl0_305
<=> ! [X0,X5,X25,X7] : c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg) = c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f343,axiom,
! [X0,X7,X5,X25] : c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg) = c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X7,X0),X25,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
fof(f3499,plain,
spl0_304,
inference(avatar_split_clause,[],[f333,f3497]) ).
fof(f3497,plain,
( spl0_304
<=> ! [X9,X5] :
( hBOOL(c_in(X9,X5,tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f333,axiom,
! [X9,X5] :
( hBOOL(c_in(X9,X5,tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X9),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
fof(f3495,plain,
spl0_303,
inference(avatar_split_clause,[],[f325,f3493]) ).
fof(f3493,plain,
( spl0_303
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f325,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
fof(f3491,plain,
spl0_302,
inference(avatar_split_clause,[],[f324,f3489]) ).
fof(f3489,plain,
( spl0_302
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f324,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
fof(f3487,plain,
( spl0_301
| ~ spl0_153
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2956,f2907,f1385,f3485]) ).
fof(f1385,plain,
( spl0_153
<=> ! [X5,X8,X7] : c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2956,plain,
( ! [X0] : hBOOL(c_in(v_evs,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_153
| ~ spl0_265 ),
inference(resolution,[],[f2908,f1386]) ).
fof(f1386,plain,
( ! [X8,X7,X5] : c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f3483,plain,
spl0_300,
inference(avatar_split_clause,[],[f319,f3481]) ).
fof(f3481,plain,
( spl0_300
<=> ! [X5,X17,X36,X9,X8] :
( ~ hBOOL(c_in(X9,X5,X8))
| hBOOL(c_in(hAPP(X36,X9),c_Set_Oimage(X36,X5,X8,X17),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f319,axiom,
! [X36,X8,X9,X17,X5] :
( ~ hBOOL(c_in(X9,X5,X8))
| hBOOL(c_in(hAPP(X36,X9),c_Set_Oimage(X36,X5,X8,X17),X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f3479,plain,
spl0_299,
inference(avatar_split_clause,[],[f308,f3477]) ).
fof(f3477,plain,
( spl0_299
<=> ! [X37,X4,X5,X8] :
( X4 = X37
| hBOOL(c_in(X37,X5,X8))
| ~ hBOOL(c_in(X37,c_Set_Oinsert(X4,X5,X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f308,axiom,
! [X37,X8,X4,X5] :
( X4 = X37
| hBOOL(c_in(X37,X5,X8))
| ~ hBOOL(c_in(X37,c_Set_Oinsert(X4,X5,X8),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
fof(f3475,plain,
spl0_298,
inference(avatar_split_clause,[],[f298,f3473]) ).
fof(f3473,plain,
( spl0_298
<=> ! [X7,X5,X8,X66] :
( ~ hBOOL(c_in(X66,X5,X8))
| hBOOL(c_in(X66,X7,X8))
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f298,axiom,
! [X8,X7,X66,X5] :
( ~ hBOOL(c_in(X66,X5,X8))
| hBOOL(c_in(X66,X7,X8))
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
fof(f3471,plain,
spl0_297,
inference(avatar_split_clause,[],[f292,f3469]) ).
fof(f3469,plain,
( spl0_297
<=> ! [X38,X9,X17,X36,X8] :
( ~ class_HOL_Oord(X17)
| ~ c_lessequals(X36,X38,tc_fun(X8,X17))
| c_lessequals(hAPP(X36,X9),hAPP(X38,X9),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f292,axiom,
! [X38,X36,X8,X9,X17] :
( ~ class_HOL_Oord(X17)
| ~ c_lessequals(X36,X38,tc_fun(X8,X17))
| c_lessequals(hAPP(X36,X9),hAPP(X38,X9),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
fof(f3467,plain,
spl0_296,
inference(avatar_split_clause,[],[f280,f3465]) ).
fof(f3465,plain,
( spl0_296
<=> ! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X35)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f280,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X35)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
fof(f3463,plain,
spl0_295,
inference(avatar_split_clause,[],[f201,f3461]) ).
fof(f3461,plain,
( spl0_295
<=> ! [X1,X35] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f3459,plain,
spl0_294,
inference(avatar_split_clause,[],[f147,f3457]) ).
fof(f3457,plain,
( spl0_294
<=> ! [X5,X25,X0,X7] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f147,axiom,
! [X0,X7,X5,X25] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X7,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
fof(f3455,plain,
spl0_293,
inference(avatar_split_clause,[],[f116,f3453]) ).
fof(f3453,plain,
( spl0_293
<=> ! [X25,X5,X0] :
( hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f116,axiom,
! [X0,X5,X25] :
( hBOOL(c_in(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
fof(f3451,plain,
spl0_292,
inference(avatar_split_clause,[],[f30,f3449]) ).
fof(f3449,plain,
( spl0_292
<=> ! [X4,X23,X9,X22] :
( X4 = X22
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f30,axiom,
! [X9,X4,X22,X23] :
( X4 = X22
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
fof(f3287,plain,
( spl0_291
| ~ spl0_123
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f3169,f3005,f1192,f3285]) ).
fof(f3285,plain,
( spl0_291
<=> ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),v_evs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3005,plain,
( spl0_286
<=> ! [X0] : hBOOL(c_in(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f3169,plain,
( ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),v_evs))
| ~ spl0_123
| ~ spl0_286 ),
inference(resolution,[],[f3006,f1193]) ).
fof(f3006,plain,
( ! [X0] : hBOOL(c_in(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f3023,plain,
spl0_290,
inference(avatar_split_clause,[],[f591,f3021]) ).
fof(f3021,plain,
( spl0_290
<=> ! [X25,X0,X7] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f591,plain,
! [X0,X7,X25] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
inference(definition_unfolding,[],[f281,f378]) ).
fof(f378,axiom,
! [X5] : c_Event_OinitState(X5) = c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
fof(f281,axiom,
! [X0,X7,X25] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_OinitState(X7)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
fof(f3019,plain,
spl0_289,
inference(avatar_split_clause,[],[f513,f3017]) ).
fof(f3017,plain,
( spl0_289
<=> ! [X2,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f513,axiom,
! [X2,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth_0) ).
fof(f3015,plain,
spl0_288,
inference(avatar_split_clause,[],[f508,f3013]) ).
fof(f3013,plain,
( spl0_288
<=> ! [X22,X37,X35] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Set_Oinsert(X37,X35,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f508,axiom,
! [X37,X22,X35] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oanalz(c_Set_Oinsert(X37,X35,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
fof(f3011,plain,
spl0_287,
inference(avatar_split_clause,[],[f459,f3009]) ).
fof(f3009,plain,
( spl0_287
<=> ! [X1,X35] :
( c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f459,axiom,
! [X1,X35] :
( c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
fof(f3007,plain,
( spl0_286
| ~ spl0_116
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2955,f2907,f1164,f3005]) ).
fof(f1164,plain,
( spl0_116
<=> ! [X37,X8,X7] : c_lessequals(X7,c_Set_Oinsert(X37,X7,X8),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2955,plain,
( ! [X0] : hBOOL(c_in(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_116
| ~ spl0_265 ),
inference(resolution,[],[f2908,f1165]) ).
fof(f1165,plain,
( ! [X37,X8,X7] : c_lessequals(X7,c_Set_Oinsert(X37,X7,X8),tc_fun(X8,tc_bool))
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f3003,plain,
spl0_285,
inference(avatar_split_clause,[],[f458,f3001]) ).
fof(f3001,plain,
( spl0_285
<=> ! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f458,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
fof(f2999,plain,
spl0_284,
inference(avatar_split_clause,[],[f433,f2997]) ).
fof(f2997,plain,
( spl0_284
<=> ! [X22,X37,X35] :
( ~ hBOOL(c_in(X22,c_Message_Oparts(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(c_Set_Oinsert(X37,X35,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f433,axiom,
! [X37,X22,X35] :
( ~ hBOOL(c_in(X22,c_Message_Oparts(X35),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(c_Set_Oinsert(X37,X35,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
fof(f2995,plain,
spl0_283,
inference(avatar_split_clause,[],[f411,f2993]) ).
fof(f2993,plain,
( spl0_283
<=> ! [X2,X1] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f411,axiom,
! [X2,X1] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
fof(f2991,plain,
spl0_282,
inference(avatar_split_clause,[],[f376,f2989]) ).
fof(f2989,plain,
( spl0_282
<=> ! [X48,X46,X47,X8,X44,X45,X42,X43,X20] : hAPP(X46,X20) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OHash(X20),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f376,axiom,
! [X48,X46,X47,X8,X44,X45,X42,X43,X20] : hAPP(X46,X20) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OHash(X20),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I54_J_0) ).
fof(f2987,plain,
spl0_281,
inference(avatar_split_clause,[],[f364,f2985]) ).
fof(f2985,plain,
( spl0_281
<=> ! [X48,X46,X13,X47,X8,X44,X45,X42,X43] : hAPP(X42,X13) = c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OAgent(X13),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f364,axiom,
! [X48,X46,X47,X8,X44,X45,X42,X13,X43] : hAPP(X42,X13) = c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OAgent(X13),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I1_J_0) ).
fof(f2983,plain,
spl0_280,
inference(avatar_split_clause,[],[f361,f2981]) ).
fof(f2981,plain,
( spl0_280
<=> ! [X48,X46,X13,X47,X8,X44,X45,X42,X43] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OAgent(X13),X8) = hAPP(X42,X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f361,axiom,
! [X48,X46,X47,X8,X44,X45,X42,X43,X13] : c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_OAgent(X13),X8) = hAPP(X42,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I50_J_0) ).
fof(f2979,plain,
spl0_279,
inference(avatar_split_clause,[],[f345,f2977]) ).
fof(f2977,plain,
( spl0_279
<=> ! [X5,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| ~ c_lessequals(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f345,axiom,
! [X8,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = X5
| ~ c_lessequals(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).
fof(f2975,plain,
spl0_278,
inference(avatar_split_clause,[],[f342,f2973]) ).
fof(f2973,plain,
( spl0_278
<=> ! [X5,X25,X0] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f342,axiom,
! [X0,X5,X25] :
( hBOOL(c_in(X0,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X5,X0),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
fof(f2971,plain,
spl0_277,
inference(avatar_split_clause,[],[f303,f2969]) ).
fof(f2969,plain,
( spl0_277
<=> ! [X7,X8,X5,X22] :
( ~ hBOOL(c_in(X22,X7,X8))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f303,axiom,
! [X8,X7,X22,X5] :
( ~ hBOOL(c_in(X22,X7,X8))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
fof(f2967,plain,
spl0_276,
inference(avatar_split_clause,[],[f302,f2965]) ).
fof(f2965,plain,
( spl0_276
<=> ! [X7,X8,X5,X22] :
( ~ hBOOL(c_in(X22,X5,X8))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f302,axiom,
! [X8,X7,X22,X5] :
( ~ hBOOL(c_in(X22,X5,X8))
| hBOOL(c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
fof(f2949,plain,
spl0_275,
inference(avatar_split_clause,[],[f258,f2947]) ).
fof(f2947,plain,
( spl0_275
<=> ! [X1,X35] :
( c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f258,axiom,
! [X1,X35] :
( c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
fof(f2945,plain,
spl0_274,
inference(avatar_split_clause,[],[f257,f2943]) ).
fof(f2943,plain,
( spl0_274
<=> ! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f257,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
fof(f2941,plain,
spl0_273,
inference(avatar_split_clause,[],[f215,f2939]) ).
fof(f2939,plain,
( spl0_273
<=> ! [X5,X7,X8] :
( X5 = X7
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X5,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f215,axiom,
! [X8,X7,X5] :
( X5 = X7
| ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(X7,X5,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
fof(f2937,plain,
spl0_272,
inference(avatar_split_clause,[],[f191,f2935]) ).
fof(f2935,plain,
( spl0_272
<=> ! [X25,X5,X0] : c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) = c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f191,axiom,
! [X0,X5,X25] : c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_ONotes(X5,X0),X25,tc_Event_Oevent)) = c_Set_Oinsert(X0,c_Event_Oknows(X5,X25),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
fof(f2933,plain,
spl0_271,
inference(avatar_split_clause,[],[f127,f2931]) ).
fof(f2931,plain,
( spl0_271
<=> ! [X48,X46,X47,X8,X44,X10,X45,X42,X43] : hAPP(X43,X10) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONumber(X10),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f127,axiom,
! [X10,X46,X48,X47,X8,X44,X45,X42,X43] : hAPP(X43,X10) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONumber(X10),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I51_J_0) ).
fof(f2929,plain,
spl0_270,
inference(avatar_split_clause,[],[f82,f2927]) ).
fof(f2927,plain,
( spl0_270
<=> ! [X48,X46,X47,X8,X44,X10,X45,X42,X43] : hAPP(X44,X10) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONonce(X10),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f82,axiom,
! [X10,X46,X48,X47,X8,X44,X45,X42,X43] : hAPP(X44,X10) = c_Message_Omsg_Omsg__case(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONonce(X10),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I52_J_0) ).
fof(f2925,plain,
spl0_269,
inference(avatar_split_clause,[],[f78,f2923]) ).
fof(f2923,plain,
( spl0_269
<=> ! [X1,X35] :
( c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f78,axiom,
! [X1,X35] :
( c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
fof(f2921,plain,
spl0_268,
inference(avatar_split_clause,[],[f77,f2919]) ).
fof(f2919,plain,
( spl0_268
<=> ! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f77,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
fof(f2917,plain,
spl0_267,
inference(avatar_split_clause,[],[f76,f2915]) ).
fof(f2915,plain,
( spl0_267
<=> ! [X48,X43,X47,X46,X44,X42,X10,X45,X8] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONonce(X10),X8) = hAPP(X44,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f76,axiom,
! [X48,X46,X10,X47,X8,X44,X45,X42,X43] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONonce(X10),X8) = hAPP(X44,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I3_J_0) ).
fof(f2913,plain,
spl0_266,
inference(avatar_split_clause,[],[f71,f2911]) ).
fof(f2911,plain,
( spl0_266
<=> ! [X5,X50,X9,X8] : c_Set_Oinsert(X9,c_Set_Oinsert(X50,X5,X8),X8) = c_Set_Oinsert(X50,c_Set_Oinsert(X9,X5,X8),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f71,axiom,
! [X50,X8,X9,X5] : c_Set_Oinsert(X9,c_Set_Oinsert(X50,X5,X8),X8) = c_Set_Oinsert(X50,c_Set_Oinsert(X9,X5,X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
fof(f2909,plain,
( spl0_265
| ~ spl0_173
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f2485,f2295,f1538,f2907]) ).
fof(f1538,plain,
( spl0_173
<=> c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f2295,plain,
( spl0_231
<=> ! [X5,X7,X9,X8] :
( hBOOL(c_in(X9,X7,X8))
| ~ c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2485,plain,
( ! [X0] :
( ~ c_lessequals(c_NS__Shared__Mirabelle_Ons__shared,X0,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| hBOOL(c_in(v_evs,X0,tc_List_Olist(tc_Event_Oevent))) )
| ~ spl0_173
| ~ spl0_231 ),
inference(superposition,[],[f2296,f1540]) ).
fof(f1540,plain,
( c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f2296,plain,
( ! [X8,X9,X7,X5] :
( ~ c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool))
| hBOOL(c_in(X9,X7,X8)) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f2905,plain,
spl0_264,
inference(avatar_split_clause,[],[f67,f2903]) ).
fof(f2903,plain,
( spl0_264
<=> ! [X48,X44,X47,X46,X8,X42,X10,X45,X43] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONumber(X10),X8) = hAPP(X43,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f67,axiom,
! [X48,X46,X10,X47,X8,X44,X45,X42,X43] : c_Message_Omsg_Omsg__rec(X42,X43,X44,X45,X46,X47,X48,c_Message_Omsg_ONumber(X10),X8) = hAPP(X43,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Orecs_I2_J_0) ).
fof(f2901,plain,
spl0_263,
inference(avatar_split_clause,[],[f20,f2899]) ).
fof(f2899,plain,
( spl0_263
<=> ! [X4,X7,X5,X8] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_lessequals(X5,c_Set_Oinsert(X4,X7,X8),tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f20,axiom,
! [X8,X7,X4,X5] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_lessequals(X5,c_Set_Oinsert(X4,X7,X8),tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f2897,plain,
spl0_262,
inference(avatar_split_clause,[],[f19,f2895]) ).
fof(f2895,plain,
( spl0_262
<=> ! [X9,X5,X8,X7] :
( c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f19,axiom,
! [X8,X9,X7,X5] :
( c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
fof(f2667,plain,
( ~ spl0_261
| ~ spl0_119
| ~ spl0_120
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f2456,f1757,f1180,f1176,f2664]) ).
fof(f2664,plain,
( spl0_261
<=> c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1757,plain,
( spl0_197
<=> c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f2456,plain,
( c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_119
| ~ spl0_120
| ~ spl0_197 ),
inference(forward_demodulation,[],[f2452,f1181]) ).
fof(f2452,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))
| ~ spl0_119
| ~ spl0_197 ),
inference(superposition,[],[f1177,f1759]) ).
fof(f1759,plain,
( c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f2419,plain,
( spl0_260
| ~ spl0_14
| ~ spl0_120
| ~ spl0_152
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2414,f2410,f1381,f1180,f709,f2416]) ).
fof(f2416,plain,
( spl0_260
<=> c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a) = c_Orderings_Obot__class_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f709,plain,
( spl0_14
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1381,plain,
( spl0_152
<=> ! [X17] :
( ~ class_Orderings_Obot(X17)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X17)),v_x) = c_Orderings_Obot__class_Obot(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f2410,plain,
( spl0_259
<=> hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2414,plain,
( c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ spl0_14
| ~ spl0_120
| ~ spl0_152
| ~ spl0_259 ),
inference(forward_demodulation,[],[f2412,f1474]) ).
fof(f1474,plain,
( hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ spl0_14
| ~ spl0_120
| ~ spl0_152 ),
inference(forward_demodulation,[],[f1472,f1181]) ).
fof(f1472,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ spl0_14
| ~ spl0_152 ),
inference(resolution,[],[f1382,f711]) ).
fof(f711,plain,
( class_Orderings_Obot(tc_bool)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1382,plain,
( ! [X17] :
( ~ class_Orderings_Obot(X17)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X17)),v_x) = c_Orderings_Obot__class_Obot(X17) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f2412,plain,
( hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a)
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f2410]) ).
fof(f2413,plain,
spl0_259,
inference(avatar_split_clause,[],[f602,f2410]) ).
fof(f602,plain,
hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_in(v_x,c_List_Oset(c_List_Olist_ONil(t_a),t_a),t_a),
inference(forward_demodulation,[],[f240,f377]) ).
fof(f240,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
fof(f2408,plain,
spl0_258,
inference(avatar_split_clause,[],[f582,f2406]) ).
fof(f2406,plain,
( spl0_258
<=> ! [X4,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f582,plain,
! [X4,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f91,f378]) ).
fof(f91,axiom,
! [X4,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_OinitState(X5),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
fof(f2404,plain,
spl0_257,
inference(avatar_split_clause,[],[f506,f2402]) ).
fof(f2402,plain,
( spl0_257
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(X1) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f506,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(X1) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
fof(f2400,plain,
spl0_256,
inference(avatar_split_clause,[],[f503,f2398]) ).
fof(f2398,plain,
( spl0_256
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f503,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f2396,plain,
spl0_255,
inference(avatar_split_clause,[],[f502,f2394]) ).
fof(f2394,plain,
( spl0_255
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f502,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X3,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f2392,plain,
spl0_254,
inference(avatar_split_clause,[],[f500,f2390]) ).
fof(f2390,plain,
( spl0_254
<=> ! [X22,X25] :
( hBOOL(c_in(X22,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f500,axiom,
! [X22,X25] :
( hBOOL(c_in(X22,c_Event_Oused(X25),tc_Message_Omsg))
| ~ hBOOL(c_in(X22,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
fof(f2388,plain,
spl0_253,
inference(avatar_split_clause,[],[f455,f2386]) ).
fof(f2386,plain,
( spl0_253
<=> ! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f455,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X35),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
fof(f2384,plain,
spl0_252,
inference(avatar_split_clause,[],[f434,f2382]) ).
fof(f2382,plain,
( spl0_252
<=> ! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f434,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert_0) ).
fof(f2380,plain,
spl0_251,
inference(avatar_split_clause,[],[f414,f2378]) ).
fof(f2378,plain,
( spl0_251
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X3,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f414,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X3,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
fof(f2376,plain,
spl0_250,
inference(avatar_split_clause,[],[f413,f2374]) ).
fof(f2374,plain,
( spl0_250
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f413,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
fof(f2372,plain,
spl0_249,
inference(avatar_split_clause,[],[f400,f2370]) ).
fof(f2370,plain,
( spl0_249
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X3,c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Event_Oused(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f400,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X3,c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Event_Oused(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_1) ).
fof(f2368,plain,
spl0_248,
inference(avatar_split_clause,[],[f399,f2366]) ).
fof(f2366,plain,
( spl0_248
<=> ! [X0,X1,X3] :
( hBOOL(c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Event_Oused(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f399,axiom,
! [X3,X0,X1] :
( hBOOL(c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X3),c_Event_Oused(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_0) ).
fof(f2364,plain,
spl0_247,
inference(avatar_split_clause,[],[f396,f2362]) ).
fof(f2362,plain,
( spl0_247
<=> ! [X59,X9,X8,X72] :
( ~ hBOOL(hAPP(X59,X9))
| hBOOL(hAPP(X72,X9))
| ~ c_lessequals(X59,X72,tc_fun(X8,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f396,axiom,
! [X72,X59,X8,X9] :
( ~ hBOOL(hAPP(X59,X9))
| hBOOL(hAPP(X72,X9))
| ~ c_lessequals(X59,X72,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f2360,plain,
spl0_246,
inference(avatar_split_clause,[],[f389,f2358]) ).
fof(f2358,plain,
( spl0_246
<=> ! [X53,X50,X9,X8] :
( ~ class_Orderings_Opreorder(X8)
| ~ c_lessequals(X9,X50,X8)
| ~ c_lessequals(X50,X53,X8)
| c_lessequals(X9,X53,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f389,axiom,
! [X50,X8,X9,X53] :
( ~ class_Orderings_Opreorder(X8)
| ~ c_lessequals(X9,X50,X8)
| ~ c_lessequals(X50,X53,X8)
| c_lessequals(X9,X53,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
fof(f2356,plain,
spl0_245,
inference(avatar_split_clause,[],[f388,f2354]) ).
fof(f2354,plain,
( spl0_245
<=> ! [X53,X50,X9,X8] :
( ~ class_Orderings_Oorder(X8)
| ~ c_lessequals(X50,X9,X8)
| ~ c_lessequals(X53,X50,X8)
| c_lessequals(X53,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f388,axiom,
! [X50,X8,X9,X53] :
( ~ class_Orderings_Oorder(X8)
| ~ c_lessequals(X50,X9,X8)
| ~ c_lessequals(X53,X50,X8)
| c_lessequals(X53,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
fof(f2352,plain,
( spl0_244
| ~ spl0_123
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2307,f1806,f1192,f2349]) ).
fof(f2349,plain,
( spl0_244
<=> hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2307,plain,
( hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))
| ~ spl0_123
| ~ spl0_204 ),
inference(resolution,[],[f1808,f1193]) ).
fof(f2347,plain,
spl0_243,
inference(avatar_split_clause,[],[f262,f2345]) ).
fof(f2345,plain,
( spl0_243
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f262,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
fof(f2343,plain,
spl0_242,
inference(avatar_split_clause,[],[f261,f2341]) ).
fof(f2341,plain,
( spl0_242
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f261,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
fof(f2339,plain,
spl0_241,
inference(avatar_split_clause,[],[f239,f2337]) ).
fof(f2337,plain,
( spl0_241
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f239,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f2335,plain,
spl0_240,
inference(avatar_split_clause,[],[f230,f2333]) ).
fof(f2333,plain,
( spl0_240
<=> ! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f230,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
fof(f2331,plain,
spl0_239,
inference(avatar_split_clause,[],[f228,f2329]) ).
fof(f2329,plain,
( spl0_239
<=> ! [X5,X8,X7] :
( c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) != X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f228,axiom,
! [X8,X7,X5] :
( c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
fof(f2327,plain,
spl0_238,
inference(avatar_split_clause,[],[f227,f2325]) ).
fof(f2325,plain,
( spl0_238
<=> ! [X5,X8,X7] :
( ~ c_lessequals(X7,X5,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f227,axiom,
! [X8,X7,X5] :
( ~ c_lessequals(X7,X5,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f2323,plain,
spl0_237,
inference(avatar_split_clause,[],[f226,f2321]) ).
fof(f2321,plain,
( spl0_237
<=> ! [X5,X8,X7] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f226,axiom,
! [X8,X7,X5] :
( ~ c_lessequals(X5,X7,tc_fun(X8,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
fof(f2319,plain,
spl0_236,
inference(avatar_split_clause,[],[f184,f2317]) ).
fof(f2317,plain,
( spl0_236
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f184,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f2315,plain,
spl0_235,
inference(avatar_split_clause,[],[f175,f2313]) ).
fof(f2313,plain,
( spl0_235
<=> ! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f175,axiom,
! [X0,X1] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__insert_0) ).
fof(f2311,plain,
spl0_234,
inference(avatar_split_clause,[],[f163,f2309]) ).
fof(f2309,plain,
( spl0_234
<=> ! [X9,X50,X5,X8] :
( X9 = X50
| hBOOL(hAPP(X5,X9))
| ~ hBOOL(hAPP(c_Set_Oinsert(X50,X5,X8),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f163,axiom,
! [X50,X8,X9,X5] :
( X9 = X50
| hBOOL(hAPP(X5,X9))
| ~ hBOOL(hAPP(c_Set_Oinsert(X50,X5,X8),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f2305,plain,
spl0_233,
inference(avatar_split_clause,[],[f151,f2303]) ).
fof(f2303,plain,
( spl0_233
<=> ! [X22,X9,X23,X4] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X9)),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f151,axiom,
! [X9,X4,X22,X23] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X9)),c_Set_Oimage(c_Public_OpublicKey(X22),X23,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
fof(f2301,plain,
spl0_232,
inference(avatar_split_clause,[],[f150,f2299]) ).
fof(f2299,plain,
( spl0_232
<=> ! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f150,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X35),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__mono_0) ).
fof(f2297,plain,
spl0_231,
inference(avatar_split_clause,[],[f131,f2295]) ).
fof(f131,axiom,
! [X8,X9,X7,X5] :
( hBOOL(c_in(X9,X7,X8))
| ~ c_lessequals(c_Set_Oinsert(X9,X5,X8),X7,tc_fun(X8,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f2293,plain,
spl0_230,
inference(avatar_split_clause,[],[f48,f2291]) ).
fof(f2291,plain,
( spl0_230
<=> ! [X4,X37,X8] :
( X4 = X37
| ~ hBOOL(c_in(X4,c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f48,axiom,
! [X37,X8,X4] :
( X4 = X37
| ~ hBOOL(c_in(X4,c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).
fof(f2289,plain,
spl0_229,
inference(avatar_split_clause,[],[f42,f2287]) ).
fof(f2287,plain,
( spl0_229
<=> ! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f42,axiom,
! [X1,X35] :
( ~ c_lessequals(X35,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X35),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
fof(f2285,plain,
spl0_228,
inference(avatar_split_clause,[],[f2,f2283]) ).
fof(f2283,plain,
( spl0_228
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OkeysFor(X1),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OkeysFor(X1),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f1979,plain,
( spl0_227
| ~ spl0_22
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1810,f1417,f745,f1976]) ).
fof(f1417,plain,
( spl0_161
<=> ! [X5,X8,X37] :
( ~ hBOOL(c_in(X37,X5,X8))
| c_Set_Oinsert(X37,X5,X8) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1810,plain,
( c_Event_Obad = c_Set_Oinsert(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_22
| ~ spl0_161 ),
inference(resolution,[],[f746,f1418]) ).
fof(f1418,plain,
( ! [X37,X8,X5] :
( ~ hBOOL(c_in(X37,X5,X8))
| c_Set_Oinsert(X37,X5,X8) = X5 )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f746,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f1902,plain,
spl0_226,
inference(avatar_split_clause,[],[f581,f1900]) ).
fof(f1900,plain,
( spl0_226
<=> ! [X4,X5,X7] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f581,plain,
! [X7,X4,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f335,f378]) ).
fof(f335,axiom,
! [X7,X4,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_OinitState(X7),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
fof(f1898,plain,
spl0_225,
inference(avatar_split_clause,[],[f528,f1896]) ).
fof(f1896,plain,
( spl0_225
<=> ! [X25,X5,X4] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f528,axiom,
! [X4,X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
fof(f1894,plain,
spl0_224,
inference(avatar_split_clause,[],[f435,f1892]) ).
fof(f1892,plain,
( spl0_224
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f435,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OHash_0) ).
fof(f1890,plain,
spl0_223,
inference(avatar_split_clause,[],[f419,f1888]) ).
fof(f1888,plain,
( spl0_223
<=> ! [X54,X9,X8] : c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8) = c_Set_Oinsert(X9,c_List_Oset(X54,X8),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1886,plain,
spl0_222,
inference(avatar_split_clause,[],[f385,f1884]) ).
fof(f1884,plain,
( spl0_222
<=> ! [X37,X4,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X37,X9,X8)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f385,axiom,
! [X8,X37,X9,X4] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X37,X9,X8)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).
fof(f1882,plain,
spl0_221,
inference(avatar_split_clause,[],[f384,f1880]) ).
fof(f1880,plain,
( spl0_221
<=> ! [X9,X37,X8,X4] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X4,X9,X8)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f384,axiom,
! [X8,X37,X9,X4] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X4,X9,X8)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).
fof(f1878,plain,
spl0_220,
inference(avatar_split_clause,[],[f383,f1876]) ).
fof(f1876,plain,
( spl0_220
<=> ! [X37,X4,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X37,X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f383,axiom,
! [X8,X37,X9,X4] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X37,X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).
fof(f1874,plain,
spl0_219,
inference(avatar_split_clause,[],[f382,f1872]) ).
fof(f1872,plain,
( spl0_219
<=> ! [X37,X4,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X4,X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f382,axiom,
! [X8,X37,X9,X4] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X4,X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X37,X4,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).
fof(f1870,plain,
spl0_218,
inference(avatar_split_clause,[],[f371,f1868]) ).
fof(f1868,plain,
( spl0_218
<=> ! [X6,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X6),c_Message_Oparts(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f371,axiom,
! [X1,X6] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X6),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
fof(f1866,plain,
spl0_217,
inference(avatar_split_clause,[],[f350,f1864]) ).
fof(f1864,plain,
( spl0_217
<=> ! [X54,X9,X8] : c_lessequals(c_List_Oset(X54,X8),c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8),tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f350,axiom,
! [X54,X8,X9] : c_lessequals(c_List_Oset(X54,X8),c_List_Oset(c_List_Olist_OCons(X9,X54,X8),X8),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
fof(f1862,plain,
spl0_216,
inference(avatar_split_clause,[],[f297,f1860]) ).
fof(f1860,plain,
( spl0_216
<=> ! [X37,X4,X7,X8] :
( ~ hBOOL(c_in(X37,X7,X8))
| hBOOL(c_in(X37,c_Set_Oinsert(X4,X7,X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f297,axiom,
! [X37,X8,X7,X4] :
( ~ hBOOL(c_in(X37,X7,X8))
| hBOOL(c_in(X37,c_Set_Oinsert(X4,X7,X8),X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f1858,plain,
spl0_215,
inference(avatar_split_clause,[],[f283,f1856]) ).
fof(f1856,plain,
( spl0_215
<=> ! [X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f283,axiom,
! [X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Hash_0) ).
fof(f1854,plain,
spl0_214,
inference(avatar_split_clause,[],[f279,f1852]) ).
fof(f1852,plain,
( spl0_214
<=> ! [X57,X1] :
( hBOOL(c_in(c_Message_Omsg_ONonce(X57),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_ONonce(X57),c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f279,axiom,
! [X1,X57] :
( hBOOL(c_in(c_Message_Omsg_ONonce(X57),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_ONonce(X57),c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
fof(f1850,plain,
spl0_213,
inference(avatar_split_clause,[],[f268,f1848]) ).
fof(f1848,plain,
( spl0_213
<=> ! [X36,X17,X8] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = c_Set_Oimage(X36,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f268,axiom,
! [X36,X8,X17] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) = c_Set_Oimage(X36,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
fof(f1846,plain,
( spl0_131
| ~ spl0_22
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1811,f1192,f745,f1265]) ).
fof(f1811,plain,
( hBOOL(hAPP(c_Event_Obad,v_A))
| ~ spl0_22
| ~ spl0_123 ),
inference(resolution,[],[f746,f1193]) ).
fof(f1845,plain,
spl0_212,
inference(avatar_split_clause,[],[f254,f1843]) ).
fof(f1841,plain,
spl0_211,
inference(avatar_split_clause,[],[f251,f1839]) ).
fof(f1839,plain,
( spl0_211
<=> ! [X1,X55] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X55),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X55),c_Message_Oanalz(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f251,axiom,
! [X1,X55] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X55),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X55),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
fof(f1837,plain,
spl0_210,
inference(avatar_split_clause,[],[f247,f1835]) ).
fof(f1835,plain,
( spl0_210
<=> ! [X5,X8,X7] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Orderings_Obot__class_Obot(X8) = X7
| c_Orderings_Obot__class_Obot(X8) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f247,axiom,
! [X8,X7,X5] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Orderings_Obot__class_Obot(X8) = X7
| c_Orderings_Obot__class_Obot(X8) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
fof(f1833,plain,
spl0_209,
inference(avatar_split_clause,[],[f246,f1831]) ).
fof(f1831,plain,
( spl0_209
<=> ! [X5,X8,X7] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Orderings_Obot__class_Obot(X8) = X5
| c_Orderings_Obot__class_Obot(X8) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f246,axiom,
! [X8,X7,X5] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Orderings_Obot__class_Obot(X8) = X5
| c_Orderings_Obot__class_Obot(X8) != c_Lattices_Oupper__semilattice__class_Osup(X5,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
fof(f1829,plain,
spl0_208,
inference(avatar_split_clause,[],[f218,f1827]) ).
fof(f1827,plain,
( spl0_208
<=> ! [X50,X9,X8] :
( ~ class_Orderings_Oorder(X8)
| X9 = X50
| ~ c_lessequals(X9,X50,X8)
| ~ c_lessequals(X50,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f218,axiom,
! [X50,X8,X9] :
( ~ class_Orderings_Oorder(X8)
| X9 = X50
| ~ c_lessequals(X9,X50,X8)
| ~ c_lessequals(X50,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
fof(f1825,plain,
spl0_207,
inference(avatar_split_clause,[],[f214,f1823]) ).
fof(f1823,plain,
( spl0_207
<=> ! [X9,X23,X4] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X9)),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f214,axiom,
! [X9,X4,X23] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X9)),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
fof(f1821,plain,
spl0_206,
inference(avatar_split_clause,[],[f210,f1819]) ).
fof(f1819,plain,
( spl0_206
<=> ! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f210,axiom,
! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Hash_0) ).
fof(f1817,plain,
spl0_205,
inference(avatar_split_clause,[],[f188,f1815]) ).
fof(f1815,plain,
( spl0_205
<=> ! [X5,X7,X9,X8] :
( ~ hBOOL(hAPP(X5,X9))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f188,axiom,
! [X8,X9,X7,X5] :
( ~ hBOOL(hAPP(X5,X9))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f1809,plain,
( spl0_204
| ~ spl0_21
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1767,f1624,f741,f1806]) ).
fof(f1624,plain,
( spl0_193
<=> ! [X22,X1] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1767,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_21
| ~ spl0_193 ),
inference(resolution,[],[f1625,f742]) ).
fof(f742,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f1625,plain,
( ! [X1,X22] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(X1),tc_Message_Omsg)) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1804,plain,
spl0_203,
inference(avatar_split_clause,[],[f187,f1802]) ).
fof(f1802,plain,
( spl0_203
<=> ! [X9,X5,X7,X8] :
( ~ hBOOL(hAPP(X7,X9))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f187,axiom,
! [X8,X9,X7,X5] :
( ~ hBOOL(hAPP(X7,X9))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
fof(f1800,plain,
spl0_202,
inference(avatar_split_clause,[],[f179,f1798]) ).
fof(f1798,plain,
( spl0_202
<=> ! [X1,X55] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X55),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X55),c_Message_Oparts(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f179,axiom,
! [X1,X55] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X55),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X55),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
fof(f1796,plain,
spl0_201,
inference(avatar_split_clause,[],[f167,f1794]) ).
fof(f1794,plain,
( spl0_201
<=> ! [X6,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(X6),c_Message_Oparts(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f167,axiom,
! [X1,X6] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(X6),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Number_0) ).
fof(f1792,plain,
spl0_200,
inference(avatar_split_clause,[],[f152,f1790]) ).
fof(f1790,plain,
( spl0_200
<=> ! [X6,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X6),c_Message_Oanalz(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f152,axiom,
! [X1,X6] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X6),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
fof(f1788,plain,
spl0_199,
inference(avatar_split_clause,[],[f139,f1786]) ).
fof(f1786,plain,
( spl0_199
<=> ! [X25,X5,X56] : c_lessequals(c_Event_Oknows(X5,X25),c_Event_Oknows(X5,c_List_Olist_OCons(X56,X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f139,axiom,
! [X56,X5,X25] : c_lessequals(c_Event_Oknows(X5,X25),c_Event_Oknows(X5,c_List_Olist_OCons(X56,X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
fof(f1784,plain,
spl0_198,
inference(avatar_split_clause,[],[f58,f1782]) ).
fof(f1782,plain,
( spl0_198
<=> ! [X6,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(X6),c_Message_Oanalz(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f58,axiom,
! [X1,X6] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(X6),c_Message_Oanalz(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Number_0) ).
fof(f1760,plain,
( spl0_197
| ~ spl0_21
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1504,f1417,f741,f1757]) ).
fof(f1504,plain,
( c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_21
| ~ spl0_161 ),
inference(resolution,[],[f1418,f742]) ).
fof(f1639,plain,
spl0_196,
inference(avatar_split_clause,[],[f527,f1637]) ).
fof(f1637,plain,
( spl0_196
<=> ! [X25,X5,X4] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f527,axiom,
! [X4,X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
fof(f1635,plain,
spl0_195,
inference(avatar_split_clause,[],[f514,f1633]) ).
fof(f1633,plain,
( spl0_195
<=> ! [X6] : c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f514,axiom,
! [X6] : c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
fof(f1631,plain,
( ~ spl0_194
| ~ spl0_119
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1583,f1538,f1176,f1628]) ).
fof(f1628,plain,
( spl0_194
<=> c_NS__Shared__Mirabelle_Ons__shared = c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1583,plain,
( c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ spl0_119
| ~ spl0_173 ),
inference(superposition,[],[f1177,f1540]) ).
fof(f1626,plain,
spl0_193,
inference(avatar_split_clause,[],[f510,f1624]) ).
fof(f510,axiom,
! [X1,X22] :
( ~ hBOOL(c_in(X22,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X22,c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
fof(f1622,plain,
spl0_192,
inference(avatar_split_clause,[],[f488,f1620]) ).
fof(f1620,plain,
( spl0_192
<=> ! [X5,X25,X0] : c_Event_Oknows(c_Message_Oagent_OSpy,X25) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f488,axiom,
! [X0,X5,X25] : c_Event_Oknows(c_Message_Oagent_OSpy,X25) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
fof(f1618,plain,
spl0_191,
inference(avatar_split_clause,[],[f428,f1616]) ).
fof(f1616,plain,
( spl0_191
<=> ! [X54,X8] :
( c_List_Olist_ONil(X8) = X54
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_List_Oset(X54,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f428,axiom,
! [X8,X54] :
( c_List_Olist_ONil(X8) = X54
| c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_List_Oset(X54,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_0) ).
fof(f1614,plain,
spl0_190,
inference(avatar_split_clause,[],[f398,f1612]) ).
fof(f1612,plain,
( spl0_190
<=> ! [X37,X63,X62,X73,X8] :
( X63 = X73
| c_List_Olist_OCons(X62,X63,X8) != c_List_Olist_OCons(X37,X73,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f398,axiom,
! [X73,X8,X37,X62,X63] :
( X63 = X73
| c_List_Olist_OCons(X62,X63,X8) != c_List_Olist_OCons(X37,X73,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
fof(f1610,plain,
spl0_189,
inference(avatar_split_clause,[],[f397,f1608]) ).
fof(f1608,plain,
( spl0_189
<=> ! [X37,X63,X62,X73,X8] :
( X37 = X62
| c_List_Olist_OCons(X62,X63,X8) != c_List_Olist_OCons(X37,X73,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f397,axiom,
! [X73,X37,X8,X62,X63] :
( X37 = X62
| c_List_Olist_OCons(X62,X63,X8) != c_List_Olist_OCons(X37,X73,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f1606,plain,
spl0_188,
inference(avatar_split_clause,[],[f369,f1604]) ).
fof(f1604,plain,
( spl0_188
<=> ! [X18,X19,X20,X71,X70,X15] :
( X18 = X70
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f369,axiom,
! [X70,X71,X18,X19,X15,X20] :
( X18 = X70
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f1602,plain,
spl0_187,
inference(avatar_split_clause,[],[f368,f1600]) ).
fof(f1600,plain,
( spl0_187
<=> ! [X15,X18,X20,X71,X70,X19] :
( X19 = X71
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f368,axiom,
! [X70,X71,X18,X19,X15,X20] :
( X19 = X71
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
fof(f1598,plain,
spl0_186,
inference(avatar_split_clause,[],[f367,f1596]) ).
fof(f1596,plain,
( spl0_186
<=> ! [X18,X19,X20,X71,X70,X15] :
( X15 = X20
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f367,axiom,
! [X70,X71,X18,X19,X15,X20] :
( X15 = X20
| c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OSays(X70,X71,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
fof(f1594,plain,
spl0_185,
inference(avatar_split_clause,[],[f288,f1592]) ).
fof(f1592,plain,
( spl0_185
<=> ! [X25,X5,X4] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oused(X25),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f288,axiom,
! [X4,X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5))),c_Event_Oused(X25),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
fof(f1590,plain,
spl0_184,
inference(avatar_split_clause,[],[f286,f1588]) ).
fof(f1588,plain,
( spl0_184
<=> ! [X4,X9,X23] : ~ hBOOL(c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OpublicKey(X4),X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f286,axiom,
! [X9,X4,X23] : ~ hBOOL(c_in(hAPP(c_Public_OshrK,X9),c_Set_Oimage(c_Public_OpublicKey(X4),X23,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
fof(f1581,plain,
spl0_183,
inference(avatar_split_clause,[],[f267,f1579]) ).
fof(f1579,plain,
( spl0_183
<=> ! [X1] : c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f267,axiom,
! [X1] : c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth_0) ).
fof(f1577,plain,
spl0_182,
inference(avatar_split_clause,[],[f225,f1575]) ).
fof(f1575,plain,
( spl0_182
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X50,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = X50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f225,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X9,X50,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = X50 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
fof(f1573,plain,
spl0_181,
inference(avatar_split_clause,[],[f224,f1571]) ).
fof(f1571,plain,
( spl0_181
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X9,X50,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) != X50 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f224,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X9,X50,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) != X50 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
fof(f1569,plain,
spl0_180,
inference(avatar_split_clause,[],[f223,f1567]) ).
fof(f1567,plain,
( spl0_180
<=> ! [X9,X50,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X50,X9,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f223,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| ~ c_lessequals(X50,X9,X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
fof(f1565,plain,
spl0_179,
inference(avatar_split_clause,[],[f162,f1563]) ).
fof(f1563,plain,
( spl0_179
<=> ! [X9,X5,X8] : c_Set_Oinsert(X9,X5,X8) = c_Set_Oinsert(X9,c_Set_Oinsert(X9,X5,X8),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f162,axiom,
! [X8,X9,X5] : c_Set_Oinsert(X9,X5,X8) = c_Set_Oinsert(X9,c_Set_Oinsert(X9,X5,X8),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
fof(f1561,plain,
spl0_178,
inference(avatar_split_clause,[],[f111,f1559]) ).
fof(f1559,plain,
( spl0_178
<=> ! [X6] : c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f111,axiom,
! [X6] : c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X6,tc_nat,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
fof(f1557,plain,
spl0_177,
inference(avatar_split_clause,[],[f64,f1555]) ).
fof(f64,axiom,
! [X1] : c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__synth_0) ).
fof(f1553,plain,
spl0_176,
inference(avatar_split_clause,[],[f63,f1551]) ).
fof(f1551,plain,
( spl0_176
<=> ! [X5,X4,X29,X22] :
( X4 = X22
| hAPP(c_Public_OpublicKey(X4),X5) != hAPP(c_Public_OpublicKey(X22),X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f63,axiom,
! [X29,X4,X22,X5] :
( X4 = X22
| hAPP(c_Public_OpublicKey(X4),X5) != hAPP(c_Public_OpublicKey(X22),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
fof(f1549,plain,
spl0_175,
inference(avatar_split_clause,[],[f62,f1547]) ).
fof(f1547,plain,
( spl0_175
<=> ! [X29,X22,X5,X4] :
( X5 = X29
| hAPP(c_Public_OpublicKey(X4),X5) != hAPP(c_Public_OpublicKey(X22),X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f62,axiom,
! [X29,X4,X5,X22] :
( X5 = X29
| hAPP(c_Public_OpublicKey(X4),X5) != hAPP(c_Public_OpublicKey(X22),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
fof(f1545,plain,
spl0_174,
inference(avatar_split_clause,[],[f51,f1543]) ).
fof(f1543,plain,
( spl0_174
<=> ! [X9,X23,X4] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f51,axiom,
! [X9,X4,X23] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X9),c_Set_Oimage(c_Public_OshrK,X23,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
fof(f1541,plain,
( spl0_173
| ~ spl0_1
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1513,f1417,f644,f1538]) ).
fof(f1513,plain,
( c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_1
| ~ spl0_161 ),
inference(resolution,[],[f1418,f646]) ).
fof(f646,plain,
( hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1501,plain,
( spl0_172
| ~ spl0_31
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1235,f1192,f784,f1498]) ).
fof(f1498,plain,
( spl0_172
<=> hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f784,plain,
( spl0_31
<=> hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1235,plain,
( hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))
| ~ spl0_31
| ~ spl0_123 ),
inference(resolution,[],[f1193,f786]) ).
fof(f786,plain,
( hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1466,plain,
( ~ spl0_171
| spl0_30
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1227,f1188,f779,f1463]) ).
fof(f1463,plain,
( spl0_171
<=> hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OServer)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f779,plain,
( spl0_30
<=> hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1227,plain,
( ~ hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OServer))
| spl0_30
| ~ spl0_122 ),
inference(resolution,[],[f1189,f781]) ).
fof(f781,plain,
( ~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent))
| spl0_30 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1455,plain,
spl0_170,
inference(avatar_split_clause,[],[f576,f1453]) ).
fof(f1453,plain,
( spl0_170
<=> ! [X25,X5] : c_lessequals(c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X5,X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f576,plain,
! [X5,X25] : c_lessequals(c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X5,X25),tc_fun(tc_Message_Omsg,tc_bool)),
inference(definition_unfolding,[],[f156,f378]) ).
fof(f156,axiom,
! [X5,X25] : c_lessequals(c_Event_OinitState(X5),c_Event_Oknows(X5,X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
fof(f1451,plain,
spl0_169,
inference(avatar_split_clause,[],[f575,f1449]) ).
fof(f1449,plain,
( spl0_169
<=> ! [X2,X0,X7] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f575,plain,
! [X2,X0,X7] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(definition_unfolding,[],[f181,f378]) ).
fof(f181,axiom,
! [X2,X0,X7] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(c_Event_OinitState(X7)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
fof(f1447,plain,
spl0_168,
inference(avatar_split_clause,[],[f537,f1445]) ).
fof(f1445,plain,
( spl0_168
<=> ! [X25,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oknows(X5,X25),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f537,axiom,
! [X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oknows(X5,X25),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
fof(f1443,plain,
spl0_167,
inference(avatar_split_clause,[],[f533,f1441]) ).
fof(f533,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
fof(f1439,plain,
spl0_166,
inference(avatar_split_clause,[],[f365,f1437]) ).
fof(f1437,plain,
( spl0_166
<=> ! [X44,X43,X42,X10,X8] : hAPP(X43,X10) = c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OFriend(X10),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f365,axiom,
! [X10,X8,X44,X42,X43] : hAPP(X43,X10) = c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OFriend(X10),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I2_J_0) ).
fof(f1435,plain,
spl0_165,
inference(avatar_split_clause,[],[f331,f1433]) ).
fof(f1433,plain,
( spl0_165
<=> ! [X25,X5,X4] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oused(X25),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f331,axiom,
! [X4,X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X4),X5)),c_Event_Oused(X25),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
fof(f1431,plain,
spl0_164,
inference(avatar_split_clause,[],[f330,f1429]) ).
fof(f1429,plain,
( spl0_164
<=> ! [X2,X5,X0] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f330,axiom,
! [X2,X0,X5] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
fof(f1427,plain,
spl0_163,
inference(avatar_split_clause,[],[f322,f1425]) ).
fof(f1425,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f322,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
fof(f1423,plain,
spl0_162,
inference(avatar_split_clause,[],[f320,f1421]) ).
fof(f1421,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f320,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
fof(f1419,plain,
spl0_161,
inference(avatar_split_clause,[],[f315,f1417]) ).
fof(f315,axiom,
! [X37,X8,X5] :
( ~ hBOOL(c_in(X37,X5,X8))
| c_Set_Oinsert(X37,X5,X8) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1415,plain,
spl0_160,
inference(avatar_split_clause,[],[f276,f1413]) ).
fof(f1413,plain,
( spl0_160
<=> ! [X44,X43,X42,X10,X8] : hAPP(X43,X10) = c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OFriend(X10),X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f276,axiom,
! [X10,X8,X44,X42,X43] : hAPP(X43,X10) = c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OFriend(X10),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I9_J_0) ).
fof(f1411,plain,
spl0_159,
inference(avatar_split_clause,[],[f256,f1409]) ).
fof(f1409,plain,
( spl0_159
<=> ! [X9,X50,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f256,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f1407,plain,
spl0_158,
inference(avatar_split_clause,[],[f255,f1405]) ).
fof(f1405,plain,
( spl0_158
<=> ! [X9,X50,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f255,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8) = c_Lattices_Oupper__semilattice__class_Osup(X50,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f1403,plain,
spl0_157,
inference(avatar_split_clause,[],[f195,f1401]) ).
fof(f1401,plain,
( spl0_157
<=> ! [X5,X8] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = X5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f195,axiom,
! [X8,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
fof(f1399,plain,
spl0_156,
inference(avatar_split_clause,[],[f194,f1397]) ).
fof(f1397,plain,
( spl0_156
<=> ! [X7,X8] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7,tc_fun(X8,tc_bool)) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f194,axiom,
! [X8,X7] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7,tc_fun(X8,tc_bool)) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f1395,plain,
spl0_155,
inference(avatar_split_clause,[],[f133,f1393]) ).
fof(f1393,plain,
( spl0_155
<=> ! [X9,X5,X50,X8] :
( ~ hBOOL(hAPP(X5,X9))
| hBOOL(hAPP(c_Set_Oinsert(X50,X5,X8),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f133,axiom,
! [X50,X8,X9,X5] :
( ~ hBOOL(hAPP(X5,X9))
| hBOOL(hAPP(c_Set_Oinsert(X50,X5,X8),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f1391,plain,
spl0_154,
inference(avatar_split_clause,[],[f102,f1389]) ).
fof(f102,axiom,
! [X8,X7,X5] : c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f1387,plain,
spl0_153,
inference(avatar_split_clause,[],[f101,f1385]) ).
fof(f101,axiom,
! [X8,X7,X5] : c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X5,X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f1383,plain,
spl0_152,
inference(avatar_split_clause,[],[f27,f1381]) ).
fof(f27,axiom,
! [X17] :
( ~ class_Orderings_Obot(X17)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X17)),v_x) = c_Orderings_Obot__class_Obot(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
fof(f1379,plain,
( spl0_151
| ~ spl0_21
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1231,f1192,f741,f1376]) ).
fof(f1231,plain,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))
| ~ spl0_21
| ~ spl0_123 ),
inference(resolution,[],[f1193,f742]) ).
fof(f1374,plain,
spl0_150,
inference(avatar_split_clause,[],[f9,f1372]) ).
fof(f1372,plain,
( spl0_150
<=> ! [X2] :
( hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f9,axiom,
! [X2] :
( hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
fof(f1370,plain,
spl0_149,
inference(avatar_split_clause,[],[f8,f1368]) ).
fof(f1368,plain,
( spl0_149
<=> ! [X2] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f8,axiom,
! [X2] :
( ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_OinvKey(X2),c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
fof(f1339,plain,
spl0_148,
inference(avatar_split_clause,[],[f601,f1336]) ).
fof(f1336,plain,
( spl0_148
<=> c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f601,plain,
c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f456,f377]) ).
fof(f456,axiom,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__empty_0) ).
fof(f1334,plain,
spl0_147,
inference(avatar_split_clause,[],[f600,f1331]) ).
fof(f1331,plain,
( spl0_147
<=> c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f600,plain,
c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) = c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f141,f377]) ).
fof(f141,axiom,
c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__empty_0) ).
fof(f1329,plain,
spl0_146,
inference(avatar_split_clause,[],[f574,f1327]) ).
fof(f1327,plain,
( spl0_146
<=> ! [X6,X7] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X6),c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f574,plain,
! [X6,X7] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X6),c_Message_Oparts(c_Event_Oknows(X7,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(definition_unfolding,[],[f357,f378]) ).
fof(f357,axiom,
! [X6,X7] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X6),c_Message_Oparts(c_Event_OinitState(X7)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
fof(f1325,plain,
spl0_145,
inference(avatar_split_clause,[],[f541,f1323]) ).
fof(f1323,plain,
( spl0_145
<=> ! [X50,X9] :
( X9 = X50
| hAPP(c_Public_OshrK,X9) != hAPP(c_Public_OshrK,X50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f541,axiom,
! [X50,X9] :
( X9 = X50
| hAPP(c_Public_OshrK,X9) != hAPP(c_Public_OshrK,X50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
fof(f1321,plain,
spl0_144,
inference(avatar_split_clause,[],[f535,f1319]) ).
fof(f1319,plain,
( spl0_144
<=> ! [X14,X10] :
( X10 = X14
| hAPP(c_Message_Omsg_OKey,X10) != hAPP(c_Message_Omsg_OKey,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f535,axiom,
! [X10,X14] :
( X10 = X14
| hAPP(c_Message_Omsg_OKey,X10) != hAPP(c_Message_Omsg_OKey,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
fof(f1317,plain,
spl0_143,
inference(avatar_split_clause,[],[f523,f1315]) ).
fof(f1315,plain,
( spl0_143
<=> ! [X25,X5] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oused(X25),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f523,axiom,
! [X5,X25] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X5)),c_Event_Oused(X25),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
fof(f1313,plain,
( spl0_142
| ~ spl0_1
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1238,f1192,f644,f1310]) ).
fof(f1310,plain,
( spl0_142
<=> hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1238,plain,
( hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs))
| ~ spl0_1
| ~ spl0_123 ),
inference(resolution,[],[f1193,f646]) ).
fof(f1308,plain,
spl0_141,
inference(avatar_split_clause,[],[f441,f1306]) ).
fof(f1306,plain,
( spl0_141
<=> ! [X50,X9,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_lessequals(X9,X50,X8)
| c_lessequals(X50,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f441,axiom,
! [X50,X8,X9] :
( ~ class_Orderings_Olinorder(X8)
| c_lessequals(X9,X50,X8)
| c_lessequals(X50,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
fof(f1304,plain,
spl0_140,
inference(avatar_split_clause,[],[f440,f1302]) ).
fof(f1302,plain,
( spl0_140
<=> ! [X29,X22,X5,X4] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5)) != hAPP(c_Public_OpublicKey(X22),X29) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f440,axiom,
! [X29,X4,X5,X22] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5)) != hAPP(c_Public_OpublicKey(X22),X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
fof(f1300,plain,
spl0_139,
inference(avatar_split_clause,[],[f425,f1298]) ).
fof(f1298,plain,
( spl0_139
<=> ! [X5,X25,X0] : c_Event_Oused(X25) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f425,axiom,
! [X0,X5,X25] : c_Event_Oused(X25) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X0),X25,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Gets_0) ).
fof(f1296,plain,
spl0_138,
inference(avatar_split_clause,[],[f340,f1294]) ).
fof(f1294,plain,
( spl0_138
<=> ! [X5,X0] : ~ hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f340,axiom,
! [X0,X5] : ~ hBOOL(c_in(c_Message_Omsg_OHash(X0),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Hash__notin__image__Key_0) ).
fof(f1292,plain,
spl0_137,
inference(avatar_split_clause,[],[f334,f1290]) ).
fof(f1290,plain,
( spl0_137
<=> ! [X9,X5] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X9),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f334,axiom,
! [X9,X5] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X9),c_Set_Oimage(c_Message_Omsg_OKey,X5,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
fof(f1288,plain,
spl0_136,
inference(avatar_split_clause,[],[f234,f1286]) ).
fof(f1286,plain,
( spl0_136
<=> ! [X15,X13,X21,X20] :
( X13 = X21
| c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_ONotes(X13,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f234,axiom,
! [X21,X15,X13,X20] :
( X13 = X21
| c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_ONotes(X13,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
fof(f1284,plain,
spl0_135,
inference(avatar_split_clause,[],[f233,f1282]) ).
fof(f1282,plain,
( spl0_135
<=> ! [X13,X20,X21,X15] :
( X15 = X20
| c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_ONotes(X13,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f233,axiom,
! [X21,X15,X13,X20] :
( X15 = X20
| c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_ONotes(X13,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
fof(f1280,plain,
spl0_134,
inference(avatar_split_clause,[],[f207,f1278]) ).
fof(f1278,plain,
( spl0_134
<=> ! [X15,X13,X21,X20] :
( X13 = X21
| c_Event_Oevent_OGets(X21,X15) != c_Event_Oevent_OGets(X13,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f207,axiom,
! [X21,X15,X13,X20] :
( X13 = X21
| c_Event_Oevent_OGets(X21,X15) != c_Event_Oevent_OGets(X13,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
fof(f1276,plain,
spl0_133,
inference(avatar_split_clause,[],[f206,f1274]) ).
fof(f1274,plain,
( spl0_133
<=> ! [X13,X20,X21,X15] :
( X15 = X20
| c_Event_Oevent_OGets(X21,X15) != c_Event_Oevent_OGets(X13,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f206,axiom,
! [X21,X15,X13,X20] :
( X15 = X20
| c_Event_Oevent_OGets(X21,X15) != c_Event_Oevent_OGets(X13,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
fof(f1272,plain,
spl0_132,
inference(avatar_split_clause,[],[f120,f1270]) ).
fof(f1270,plain,
( spl0_132
<=> ! [X11,X39,X12,X40] :
( X12 = X40
| c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OMPair(X39,X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f120,axiom,
! [X40,X39,X11,X12] :
( X12 = X40
| c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OMPair(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
fof(f1268,plain,
( ~ spl0_131
| spl0_22
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1226,f1188,f745,f1265]) ).
fof(f1226,plain,
( ~ hBOOL(hAPP(c_Event_Obad,v_A))
| spl0_22
| ~ spl0_122 ),
inference(resolution,[],[f1189,f747]) ).
fof(f1263,plain,
spl0_130,
inference(avatar_split_clause,[],[f119,f1261]) ).
fof(f1261,plain,
( spl0_130
<=> ! [X40,X11,X12,X39] :
( X11 = X39
| c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OMPair(X39,X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f119,axiom,
! [X40,X39,X11,X12] :
( X11 = X39
| c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OMPair(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
fof(f1259,plain,
spl0_129,
inference(avatar_split_clause,[],[f89,f1257]) ).
fof(f1257,plain,
( spl0_129
<=> ! [X25] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f89,axiom,
! [X25] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
fof(f1255,plain,
spl0_128,
inference(avatar_split_clause,[],[f88,f1253]) ).
fof(f1253,plain,
( spl0_128
<=> ! [X20,X10,X14,X15] :
( X15 = X20
| c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OCrypt(X10,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f88,axiom,
! [X10,X14,X15,X20] :
( X15 = X20
| c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OCrypt(X10,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
fof(f1251,plain,
spl0_127,
inference(avatar_split_clause,[],[f87,f1249]) ).
fof(f1249,plain,
( spl0_127
<=> ! [X20,X14,X10,X15] :
( X10 = X14
| c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OCrypt(X10,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f87,axiom,
! [X10,X14,X15,X20] :
( X10 = X14
| c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OCrypt(X10,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
fof(f1247,plain,
spl0_126,
inference(avatar_split_clause,[],[f15,f1245]) ).
fof(f1245,plain,
( spl0_126
<=> ! [X0,X1,X3] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f15,axiom,
! [X3,X0,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X3),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
fof(f1243,plain,
spl0_125,
inference(avatar_split_clause,[],[f14,f1241]) ).
fof(f1241,plain,
( spl0_125
<=> ! [X2,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f14,axiom,
! [X2,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
fof(f1202,plain,
( ~ spl0_2
| spl0_124
| ~ spl0_98
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1197,f1136,f1086,f1200,f649]) ).
fof(f649,plain,
( spl0_2
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1200,plain,
( spl0_124
<=> ! [X0] : c_lessequals(X0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1086,plain,
( spl0_98
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1136,plain,
( spl0_109
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1197,plain,
( ! [X0] :
( c_lessequals(X0,X0,tc_nat)
| ~ class_Lattices_Oupper__semilattice(tc_nat) )
| ~ spl0_98
| ~ spl0_109 ),
inference(superposition,[],[f1137,f1087]) ).
fof(f1087,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1137,plain,
( ! [X50,X8,X9] :
( c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8)
| ~ class_Lattices_Oupper__semilattice(X8) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1194,plain,
spl0_123,
inference(avatar_split_clause,[],[f540,f1192]) ).
fof(f540,axiom,
! [X8,X9,X33] :
( hBOOL(hAPP(X33,X9))
| ~ hBOOL(c_in(X9,X33,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f1190,plain,
spl0_122,
inference(avatar_split_clause,[],[f539,f1188]) ).
fof(f539,axiom,
! [X8,X9,X33] :
( ~ hBOOL(hAPP(X33,X9))
| hBOOL(c_in(X9,X33,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1186,plain,
spl0_121,
inference(avatar_split_clause,[],[f404,f1184]) ).
fof(f1184,plain,
( spl0_121
<=> ! [X52,X5,X4] : hAPP(c_Public_OshrK,X5) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f404,axiom,
! [X52,X4,X5] : hAPP(c_Public_OshrK,X5) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X52)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
fof(f1182,plain,
spl0_120,
inference(avatar_split_clause,[],[f377,f1180]) ).
fof(f1178,plain,
spl0_119,
inference(avatar_split_clause,[],[f348,f1176]) ).
fof(f348,axiom,
! [X8,X37,X5] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Set_Oinsert(X37,X5,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
fof(f1174,plain,
spl0_118,
inference(avatar_split_clause,[],[f193,f1172]) ).
fof(f1172,plain,
( spl0_118
<=> ! [X9,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X8),X9,X8) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f193,axiom,
! [X8,X9] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X8),X9,X8) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
fof(f1170,plain,
spl0_117,
inference(avatar_split_clause,[],[f192,f1168]) ).
fof(f1168,plain,
( spl0_117
<=> ! [X9,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Obot__class_Obot(X8),X8) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f192,axiom,
! [X8,X9] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,c_Orderings_Obot__class_Obot(X8),X8) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
fof(f1166,plain,
spl0_116,
inference(avatar_split_clause,[],[f171,f1164]) ).
fof(f171,axiom,
! [X37,X8,X7] : c_lessequals(X7,c_Set_Oinsert(X37,X7,X8),tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f1162,plain,
spl0_115,
inference(avatar_split_clause,[],[f154,f1160]) ).
fof(f1160,plain,
( spl0_115
<=> ! [X5,X8] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X5,tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f154,axiom,
! [X8,X5] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X5,tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f1158,plain,
spl0_114,
inference(avatar_split_clause,[],[f143,f1156]) ).
fof(f1156,plain,
( spl0_114
<=> ! [X25] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f143,axiom,
! [X25] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
fof(f1154,plain,
spl0_113,
inference(avatar_split_clause,[],[f124,f1152]) ).
fof(f1152,plain,
( spl0_113
<=> ! [X2,X0] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f124,axiom,
! [X2,X0] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
fof(f1150,plain,
spl0_112,
inference(avatar_split_clause,[],[f110,f1148]) ).
fof(f1148,plain,
( spl0_112
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Olattice(X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f110,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Olattice(X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f1146,plain,
spl0_111,
inference(avatar_split_clause,[],[f109,f1144]) ).
fof(f1144,plain,
( spl0_111
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Olattice(X8)
| c_lessequals(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f109,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Olattice(X8)
| c_lessequals(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f1142,plain,
spl0_110,
inference(avatar_split_clause,[],[f106,f1140]) ).
fof(f1140,plain,
( spl0_110
<=> ! [X50,X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f106,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X50,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f1138,plain,
spl0_109,
inference(avatar_split_clause,[],[f105,f1136]) ).
fof(f105,axiom,
! [X50,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X50,X8),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f1134,plain,
( spl0_108
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1130,f1126,f1132]) ).
fof(f1132,plain,
( spl0_108
<=> ! [X0] : ~ hBOOL(c_in(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1126,plain,
( spl0_107
<=> ! [X0] : ~ hBOOL(c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1130,plain,
( ! [X0] : ~ hBOOL(c_in(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1129,f600]) ).
fof(f1129,plain,
( ! [X0] : ~ hBOOL(c_in(X0,c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg))
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1127,f377]) ).
fof(f1127,plain,
( ! [X0] : ~ hBOOL(c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1128,plain,
spl0_107,
inference(avatar_split_clause,[],[f55,f1126]) ).
fof(f55,axiom,
! [X0] : ~ hBOOL(c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
fof(f1124,plain,
spl0_106,
inference(avatar_split_clause,[],[f50,f1122]) ).
fof(f1122,plain,
( spl0_106
<=> ! [X5,X8] : hBOOL(c_in(c_List_Olist_ONil(X8),c_List_Olists(X5,X8),tc_List_Olist(X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f50,axiom,
! [X8,X5] : hBOOL(c_in(c_List_Olist_ONil(X8),c_List_Olists(X5,X8),tc_List_Olist(X8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_ONil_0) ).
fof(f1120,plain,
spl0_105,
inference(avatar_split_clause,[],[f17,f1118]) ).
fof(f1118,plain,
( spl0_105
<=> ! [X4,X5] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5)),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f17,axiom,
! [X4,X5] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X4),X5)),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
fof(f1116,plain,
spl0_104,
inference(avatar_split_clause,[],[f13,f1114]) ).
fof(f1114,plain,
( spl0_104
<=> ! [X5,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X5),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f13,axiom,
! [X1,X5] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X5),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
fof(f1112,plain,
spl0_103,
inference(avatar_split_clause,[],[f12,f1110]) ).
fof(f1110,plain,
( spl0_103
<=> ! [X6,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f12,axiom,
! [X1,X6] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X6),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
fof(f1108,plain,
( spl0_102
| ~ spl0_9
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1073,f1001,f684,f1106]) ).
fof(f1106,plain,
( spl0_102
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f684,plain,
( spl0_9
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1001,plain,
( spl0_81
<=> ! [X9,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X9,X8) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1073,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0
| ~ spl0_9
| ~ spl0_81 ),
inference(resolution,[],[f1002,f686]) ).
fof(f686,plain,
( class_Lattices_Oupper__semilattice(tc_bool)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f1002,plain,
( ! [X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X9,X8) = X9 )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1104,plain,
spl0_101,
inference(avatar_split_clause,[],[f11,f1102]) ).
fof(f1102,plain,
( spl0_101
<=> ! [X6,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f11,axiom,
! [X1,X6] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(X6),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Number_0) ).
fof(f1100,plain,
spl0_100,
inference(avatar_split_clause,[],[f10,f1098]) ).
fof(f1098,plain,
( spl0_100
<=> ! [X0,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f10,axiom,
! [X0,X1] : c_Message_OkeysFor(X1) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Hash_0) ).
fof(f1096,plain,
spl0_99,
inference(avatar_split_clause,[],[f7,f1094]) ).
fof(f1094,plain,
( spl0_99
<=> ! [X2] :
( c_Message_OinvKey(X2) = X2
| ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f7,axiom,
! [X2] :
( c_Message_OinvKey(X2) = X2
| ~ hBOOL(c_in(X2,c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f1088,plain,
( spl0_98
| ~ spl0_2
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1072,f1001,f649,f1086]) ).
fof(f1072,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_2
| ~ spl0_81 ),
inference(resolution,[],[f1002,f651]) ).
fof(f651,plain,
( class_Lattices_Oupper__semilattice(tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f1068,plain,
spl0_97,
inference(avatar_split_clause,[],[f494,f1065]) ).
fof(f1065,plain,
( spl0_97
<=> c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f494,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).
fof(f1063,plain,
spl0_96,
inference(avatar_split_clause,[],[f491,f1061]) ).
fof(f1061,plain,
( spl0_96
<=> ! [X5] : hAPP(c_Public_OshrK,X5) = c_Message_OinvKey(hAPP(c_Public_OshrK,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f491,axiom,
! [X5] : hAPP(c_Public_OshrK,X5) = c_Message_OinvKey(hAPP(c_Public_OshrK,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
fof(f1059,plain,
spl0_95,
inference(avatar_split_clause,[],[f490,f1057]) ).
fof(f1057,plain,
( spl0_95
<=> ! [X52,X5,X4] : hAPP(c_Public_OshrK,X5) != hAPP(c_Public_OpublicKey(X4),X52) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f490,axiom,
! [X52,X4,X5] : hAPP(c_Public_OshrK,X5) != hAPP(c_Public_OpublicKey(X4),X52),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
fof(f1055,plain,
spl0_94,
inference(avatar_split_clause,[],[f483,f1053]) ).
fof(f1053,plain,
( spl0_94
<=> ! [X44,X8,X43,X42] : c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OSpy,X8) = X44 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f483,axiom,
! [X8,X44,X42,X43] : c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OSpy,X8) = X44,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I3_J_0) ).
fof(f1051,plain,
spl0_93,
inference(avatar_split_clause,[],[f481,f1049]) ).
fof(f1049,plain,
( spl0_93
<=> ! [X44,X8,X43,X42] : c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OSpy,X8) = X44 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f481,axiom,
! [X8,X44,X42,X43] : c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OSpy,X8) = X44,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I10_J_0) ).
fof(f1047,plain,
spl0_92,
inference(avatar_split_clause,[],[f439,f1045]) ).
fof(f1045,plain,
( spl0_92
<=> ! [X13,X21] :
( X13 = X21
| c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OAgent(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f439,axiom,
! [X21,X13] :
( X13 = X21
| c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OAgent(X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
fof(f1043,plain,
spl0_91,
inference(avatar_split_clause,[],[f418,f1041]) ).
fof(f1041,plain,
( spl0_91
<=> ! [X44,X43,X42,X8] : c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OServer,X8) = X42 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f418,axiom,
! [X8,X44,X42,X43] : c_Message_Oagent_Oagent__rec(X42,X43,X44,c_Message_Oagent_OServer,X8) = X42,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I1_J_0) ).
fof(f1039,plain,
spl0_90,
inference(avatar_split_clause,[],[f349,f1037]) ).
fof(f1037,plain,
( spl0_90
<=> ! [X20,X15] :
( X15 = X20
| c_Message_Omsg_OHash(X20) != c_Message_Omsg_OHash(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f349,axiom,
! [X15,X20] :
( X15 = X20
| c_Message_Omsg_OHash(X20) != c_Message_Omsg_OHash(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
fof(f1035,plain,
spl0_89,
inference(avatar_split_clause,[],[f310,f1033]) ).
fof(f310,axiom,
! [X8,X9,X5] : hBOOL(c_in(X9,c_Set_Oinsert(X9,X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f1031,plain,
spl0_88,
inference(avatar_split_clause,[],[f307,f1029]) ).
fof(f1029,plain,
( spl0_88
<=> ! [X37,X8] : ~ hBOOL(c_in(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f307,axiom,
! [X37,X8] : ~ hBOOL(c_in(X37,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f1027,plain,
spl0_87,
inference(avatar_split_clause,[],[f290,f1025]) ).
fof(f1025,plain,
( spl0_87
<=> ! [X14,X10] :
( X10 = X14
| c_Message_Oagent_OFriend(X14) != c_Message_Oagent_OFriend(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f290,axiom,
! [X10,X14] :
( X10 = X14
| c_Message_Oagent_OFriend(X14) != c_Message_Oagent_OFriend(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
fof(f1023,plain,
spl0_86,
inference(avatar_split_clause,[],[f289,f1021]) ).
fof(f1021,plain,
( spl0_86
<=> ! [X1] : c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f289,axiom,
! [X1] : c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
fof(f1019,plain,
spl0_85,
inference(avatar_split_clause,[],[f248,f1017]) ).
fof(f1017,plain,
( spl0_85
<=> ! [X44,X43,X42,X8] : c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OServer,X8) = X42 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f248,axiom,
! [X8,X44,X42,X43] : c_Message_Oagent_Oagent__case(X42,X43,X44,c_Message_Oagent_OServer,X8) = X42,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I8_J_0) ).
fof(f1015,plain,
spl0_84,
inference(avatar_split_clause,[],[f157,f1013]) ).
fof(f1013,plain,
( spl0_84
<=> ! [X14,X10] :
( X10 = X14
| c_Message_Omsg_ONumber(X10) != c_Message_Omsg_ONumber(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f157,axiom,
! [X10,X14] :
( X10 = X14
| c_Message_Omsg_ONumber(X10) != c_Message_Omsg_ONumber(X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I2_J_0) ).
fof(f1011,plain,
spl0_83,
inference(avatar_split_clause,[],[f112,f1009]) ).
fof(f1009,plain,
( spl0_83
<=> ! [X6] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X6),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f112,axiom,
! [X6] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X6),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
fof(f1007,plain,
spl0_82,
inference(avatar_split_clause,[],[f65,f1005]) ).
fof(f1005,plain,
( spl0_82
<=> ! [X14,X10] :
( X10 = X14
| c_Message_Omsg_ONonce(X10) != c_Message_Omsg_ONonce(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f65,axiom,
! [X10,X14] :
( X10 = X14
| c_Message_Omsg_ONonce(X10) != c_Message_Omsg_ONonce(X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
fof(f1003,plain,
spl0_81,
inference(avatar_split_clause,[],[f60,f1001]) ).
fof(f60,axiom,
! [X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X9,X9,X8) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f999,plain,
spl0_80,
inference(avatar_split_clause,[],[f59,f997]) ).
fof(f997,plain,
( spl0_80
<=> ! [X5,X8] : c_Lattices_Oupper__semilattice__class_Osup(X5,X5,tc_fun(X8,tc_bool)) = X5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f59,axiom,
! [X8,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,X5,tc_fun(X8,tc_bool)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f995,plain,
spl0_79,
inference(avatar_split_clause,[],[f45,f993]) ).
fof(f993,plain,
( spl0_79
<=> ! [X15,X18,X19,X20,X21] : c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_ONotes(X21,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f45,axiom,
! [X21,X18,X19,X15,X20] : c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_ONotes(X21,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
fof(f991,plain,
spl0_78,
inference(avatar_split_clause,[],[f29,f989]) ).
fof(f989,plain,
( spl0_78
<=> ! [X15,X18,X19,X20,X21] : c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OGets(X21,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f29,axiom,
! [X21,X18,X19,X15,X20] : c_Event_Oevent_OSays(X18,X19,X20) != c_Event_Oevent_OGets(X21,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
fof(f987,plain,
spl0_77,
inference(avatar_split_clause,[],[f24,f985]) ).
fof(f985,plain,
( spl0_77
<=> ! [X2,X16] :
( X2 = X16
| c_Message_OinvKey(X2) != c_Message_OinvKey(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f24,axiom,
! [X2,X16] :
( X2 = X16
| c_Message_OinvKey(X2) != c_Message_OinvKey(X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f983,plain,
spl0_76,
inference(avatar_split_clause,[],[f6,f981]) ).
fof(f981,plain,
( spl0_76
<=> ! [X4,X5] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X5),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f6,axiom,
! [X4,X5] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X4),X5),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
fof(f971,plain,
spl0_75,
inference(avatar_split_clause,[],[f567,f969]) ).
fof(f969,plain,
( spl0_75
<=> ! [X0,X8,X3] :
( X0 = X3
| ~ c_fequal(X0,X3,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f567,axiom,
! [X3,X0,X8] :
( X0 = X3
| ~ c_fequal(X0,X3,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f967,plain,
spl0_74,
inference(avatar_split_clause,[],[f520,f964]) ).
fof(f964,plain,
( spl0_74
<=> hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f520,axiom,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
fof(f962,plain,
spl0_73,
inference(avatar_split_clause,[],[f475,f960]) ).
fof(f960,plain,
( spl0_73
<=> ! [X11,X12,X10] : c_Message_Omsg_OMPair(X11,X12) != hAPP(c_Message_Omsg_OKey,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f475,axiom,
! [X10,X11,X12] : c_Message_Omsg_OMPair(X11,X12) != hAPP(c_Message_Omsg_OKey,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
fof(f958,plain,
spl0_72,
inference(avatar_split_clause,[],[f469,f956]) ).
fof(f956,plain,
( spl0_72
<=> ! [X15,X14,X10] : c_Message_Omsg_OCrypt(X14,X15) != hAPP(c_Message_Omsg_OKey,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f469,axiom,
! [X10,X14,X15] : c_Message_Omsg_OCrypt(X14,X15) != hAPP(c_Message_Omsg_OKey,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
fof(f954,plain,
spl0_71,
inference(avatar_split_clause,[],[f460,f952]) ).
fof(f952,plain,
( spl0_71
<=> ! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f460,axiom,
! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
fof(f950,plain,
spl0_70,
inference(avatar_split_clause,[],[f375,f948]) ).
fof(f948,plain,
( spl0_70
<=> ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f375,axiom,
! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
fof(f946,plain,
spl0_69,
inference(avatar_split_clause,[],[f362,f944]) ).
fof(f362,axiom,
! [X8,X9,X5] : hBOOL(hAPP(c_Set_Oinsert(X9,X5,X8),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f942,plain,
spl0_68,
inference(avatar_split_clause,[],[f232,f940]) ).
fof(f940,plain,
( spl0_68
<=> ! [X8,X62,X63] : c_List_Olist_ONil(X8) != c_List_Olist_OCons(X62,X63,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f232,axiom,
! [X8,X62,X63] : c_List_Olist_ONil(X8) != c_List_Olist_OCons(X62,X63,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
fof(f938,plain,
spl0_67,
inference(avatar_split_clause,[],[f220,f936]) ).
fof(f936,plain,
( spl0_67
<=> ! [X13,X20,X21,X15] : c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_OGets(X13,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f220,axiom,
! [X21,X15,X13,X20] : c_Event_Oevent_ONotes(X21,X15) != c_Event_Oevent_OGets(X13,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
fof(f934,plain,
spl0_66,
inference(avatar_split_clause,[],[f204,f932]) ).
fof(f932,plain,
( spl0_66
<=> ! [X9,X8] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f204,axiom,
! [X8,X9] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f930,plain,
spl0_65,
inference(avatar_split_clause,[],[f197,f928]) ).
fof(f928,plain,
( spl0_65
<=> ! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f197,axiom,
! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
fof(f926,plain,
spl0_64,
inference(avatar_split_clause,[],[f155,f924]) ).
fof(f924,plain,
( spl0_64
<=> ! [X9,X8] :
( ~ class_Orderings_Obot(X8)
| c_lessequals(c_Orderings_Obot__class_Obot(X8),X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f155,axiom,
! [X8,X9] :
( ~ class_Orderings_Obot(X8)
| c_lessequals(c_Orderings_Obot__class_Obot(X8),X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
fof(f922,plain,
spl0_63,
inference(avatar_split_clause,[],[f153,f920]) ).
fof(f920,plain,
( spl0_63
<=> ! [X57,X1] : hBOOL(c_in(c_Message_Omsg_ONumber(X57),c_Message_Osynth(X1),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f153,axiom,
! [X1,X57] : hBOOL(c_in(c_Message_Omsg_ONumber(X57),c_Message_Osynth(X1),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Number__synth_0) ).
fof(f918,plain,
spl0_62,
inference(avatar_split_clause,[],[f129,f916]) ).
fof(f916,plain,
( spl0_62
<=> ! [X5,X1] : hBOOL(c_in(c_Message_Omsg_OAgent(X5),c_Message_Osynth(X1),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f129,axiom,
! [X1,X5] : hBOOL(c_in(c_Message_Omsg_OAgent(X5),c_Message_Osynth(X1),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
fof(f914,plain,
spl0_61,
inference(avatar_split_clause,[],[f53,f912]) ).
fof(f912,plain,
( spl0_61
<=> ! [X39,X40,X14,X15] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OMPair(X39,X40) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f53,axiom,
! [X40,X39,X14,X15] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OMPair(X39,X40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
fof(f910,plain,
spl0_60,
inference(avatar_split_clause,[],[f5,f908]) ).
fof(f908,plain,
( spl0_60
<=> ! [X0] : hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f5,axiom,
! [X0] : hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
fof(f899,plain,
spl0_59,
inference(avatar_split_clause,[],[f551,f897]) ).
fof(f897,plain,
( spl0_59
<=> ! [X77,X78] :
( ~ class_HOL_Oord(X78)
| class_HOL_Oord(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f551,axiom,
! [X78,X77] :
( ~ class_HOL_Oord(X78)
| class_HOL_Oord(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
fof(f895,plain,
spl0_58,
inference(avatar_split_clause,[],[f550,f893]) ).
fof(f893,plain,
( spl0_58
<=> ! [X77,X78] :
( ~ class_Orderings_Obot(X78)
| class_Orderings_Obot(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f550,axiom,
! [X78,X77] :
( ~ class_Orderings_Obot(X78)
| class_Orderings_Obot(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
fof(f891,plain,
spl0_57,
inference(avatar_split_clause,[],[f549,f889]) ).
fof(f889,plain,
( spl0_57
<=> ! [X77,X78] :
( ~ class_Orderings_Oorder(X78)
| class_Orderings_Oorder(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f549,axiom,
! [X78,X77] :
( ~ class_Orderings_Oorder(X78)
| class_Orderings_Oorder(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
fof(f887,plain,
spl0_56,
inference(avatar_split_clause,[],[f548,f885]) ).
fof(f885,plain,
( spl0_56
<=> ! [X77,X78] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Olattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f548,axiom,
! [X78,X77] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Olattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f883,plain,
spl0_55,
inference(avatar_split_clause,[],[f547,f881]) ).
fof(f881,plain,
( spl0_55
<=> ! [X77,X78] :
( ~ class_Orderings_Opreorder(X78)
| class_Orderings_Opreorder(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f547,axiom,
! [X78,X77] :
( ~ class_Orderings_Opreorder(X78)
| class_Orderings_Opreorder(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
fof(f879,plain,
spl0_54,
inference(avatar_split_clause,[],[f546,f877]) ).
fof(f877,plain,
( spl0_54
<=> ! [X77,X78] :
( ~ class_Lattices_Obounded__lattice(X78)
| class_Lattices_Obounded__lattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f546,axiom,
! [X78,X77] :
( ~ class_Lattices_Obounded__lattice(X78)
| class_Lattices_Obounded__lattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f875,plain,
spl0_53,
inference(avatar_split_clause,[],[f545,f873]) ).
fof(f873,plain,
( spl0_53
<=> ! [X77,X78] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Oupper__semilattice(tc_fun(X77,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f545,axiom,
! [X78,X77] :
( ~ class_Lattices_Olattice(X78)
| class_Lattices_Oupper__semilattice(tc_fun(X77,X78)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f871,plain,
spl0_52,
inference(avatar_split_clause,[],[f532,f869]) ).
fof(f869,plain,
( spl0_52
<=> ! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f532,axiom,
! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
fof(f867,plain,
spl0_51,
inference(avatar_split_clause,[],[f476,f865]) ).
fof(f865,plain,
( spl0_51
<=> ! [X15,X10] : c_Message_Omsg_OHash(X15) != hAPP(c_Message_Omsg_OKey,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f476,axiom,
! [X10,X15] : c_Message_Omsg_OHash(X15) != hAPP(c_Message_Omsg_OKey,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I38_J_0) ).
fof(f863,plain,
spl0_50,
inference(avatar_split_clause,[],[f467,f861]) ).
fof(f861,plain,
( spl0_50
<=> ! [X14,X10] : c_Message_Omsg_ONumber(X10) != hAPP(c_Message_Omsg_OKey,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f467,axiom,
! [X10,X14] : c_Message_Omsg_ONumber(X10) != hAPP(c_Message_Omsg_OKey,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I23_J_0) ).
fof(f859,plain,
spl0_49,
inference(avatar_split_clause,[],[f466,f857]) ).
fof(f857,plain,
( spl0_49
<=> ! [X14,X10] : c_Message_Omsg_ONonce(X10) != hAPP(c_Message_Omsg_OKey,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f466,axiom,
! [X10,X14] : c_Message_Omsg_ONonce(X10) != hAPP(c_Message_Omsg_OKey,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
fof(f855,plain,
spl0_48,
inference(avatar_split_clause,[],[f465,f853]) ).
fof(f853,plain,
( spl0_48
<=> ! [X13,X14] : c_Message_Omsg_OAgent(X13) != hAPP(c_Message_Omsg_OKey,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f465,axiom,
! [X14,X13] : c_Message_Omsg_OAgent(X13) != hAPP(c_Message_Omsg_OKey,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
fof(f851,plain,
spl0_47,
inference(avatar_split_clause,[],[f457,f849]) ).
fof(f849,plain,
( spl0_47
<=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f457,axiom,
! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
fof(f847,plain,
spl0_46,
inference(avatar_split_clause,[],[f453,f845]) ).
fof(f453,axiom,
! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
fof(f843,plain,
spl0_45,
inference(avatar_split_clause,[],[f395,f841]) ).
fof(f841,plain,
( spl0_45
<=> ! [X9,X8] :
( ~ class_Orderings_Opreorder(X8)
| c_lessequals(X9,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f395,axiom,
! [X8,X9] :
( ~ class_Orderings_Opreorder(X8)
| c_lessequals(X9,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f839,plain,
spl0_44,
inference(avatar_split_clause,[],[f394,f837]) ).
fof(f837,plain,
( spl0_44
<=> ! [X9,X8] :
( ~ class_Orderings_Oorder(X8)
| c_lessequals(X9,X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f394,axiom,
! [X8,X9] :
( ~ class_Orderings_Oorder(X8)
| c_lessequals(X9,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f835,plain,
spl0_43,
inference(avatar_split_clause,[],[f390,f833]) ).
fof(f833,plain,
( spl0_43
<=> ! [X9,X8] : c_lessequals(X9,X9,tc_fun(X8,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f390,axiom,
! [X8,X9] : c_lessequals(X9,X9,tc_fun(X8,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f831,plain,
spl0_42,
inference(avatar_split_clause,[],[f275,f829]) ).
fof(f829,plain,
( spl0_42
<=> ! [X54,X9,X8] : c_List_Olist_OCons(X9,X54,X8) != X54 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f275,axiom,
! [X54,X8,X9] : c_List_Olist_OCons(X9,X54,X8) != X54,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f827,plain,
spl0_41,
inference(avatar_split_clause,[],[f271,f825]) ).
fof(f825,plain,
( spl0_41
<=> ! [X11,X12,X10] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_ONumber(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f271,axiom,
! [X10,X11,X12] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_ONumber(X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I26_J_0) ).
fof(f823,plain,
spl0_40,
inference(avatar_split_clause,[],[f265,f821]) ).
fof(f821,plain,
( spl0_40
<=> ! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f265,axiom,
! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).
fof(f819,plain,
spl0_39,
inference(avatar_split_clause,[],[f213,f817]) ).
fof(f817,plain,
( spl0_39
<=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f213,axiom,
! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
fof(f815,plain,
spl0_38,
inference(avatar_split_clause,[],[f168,f813]) ).
fof(f813,plain,
( spl0_38
<=> ! [X13,X12,X11] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OAgent(X13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f168,axiom,
! [X11,X12,X13] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OAgent(X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
fof(f811,plain,
spl0_37,
inference(avatar_split_clause,[],[f158,f809]) ).
fof(f809,plain,
( spl0_37
<=> ! [X11,X20,X12] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OHash(X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f158,axiom,
! [X11,X12,X20] : c_Message_Omsg_OMPair(X11,X12) != c_Message_Omsg_OHash(X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I44_J_0) ).
fof(f807,plain,
spl0_36,
inference(avatar_split_clause,[],[f80,f805]) ).
fof(f805,plain,
( spl0_36
<=> ! [X10,X14,X15] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OCrypt(X14,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f80,axiom,
! [X10,X14,X15] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OCrypt(X14,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
fof(f803,plain,
spl0_35,
inference(avatar_split_clause,[],[f54,f801]) ).
fof(f801,plain,
( spl0_35
<=> ! [X13,X14,X15] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OCrypt(X14,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f54,axiom,
! [X14,X15,X13] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OCrypt(X14,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
fof(f799,plain,
spl0_34,
inference(avatar_split_clause,[],[f47,f797]) ).
fof(f797,plain,
( spl0_34
<=> ! [X20,X14,X15] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OHash(X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f47,axiom,
! [X14,X15,X20] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_OHash(X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
fof(f795,plain,
spl0_33,
inference(avatar_split_clause,[],[f26,f793]) ).
fof(f793,plain,
( spl0_33
<=> ! [X15,X14,X10] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_ONumber(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f26,axiom,
! [X10,X14,X15] : c_Message_Omsg_OCrypt(X14,X15) != c_Message_Omsg_ONumber(X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I29_J_0) ).
fof(f791,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f789]) ).
fof(f789,plain,
( spl0_32
<=> ! [X11,X12,X10] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OMPair(X11,X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f22,axiom,
! [X10,X11,X12] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OMPair(X11,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
fof(f787,plain,
spl0_31,
inference(avatar_split_clause,[],[f534,f784]) ).
fof(f534,axiom,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
fof(f782,plain,
~ spl0_30,
inference(avatar_split_clause,[],[f521,f779]) ).
fof(f521,axiom,
~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
fof(f777,plain,
spl0_29,
inference(avatar_split_clause,[],[f366,f775]) ).
fof(f775,plain,
( spl0_29
<=> ! [X2] : c_Message_OinvKey(c_Message_OinvKey(X2)) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f366,axiom,
! [X2] : c_Message_OinvKey(c_Message_OinvKey(X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f773,plain,
spl0_28,
inference(avatar_split_clause,[],[f273,f771]) ).
fof(f771,plain,
( spl0_28
<=> ! [X13,X15] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OHash(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f273,axiom,
! [X15,X13] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_OHash(X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I14_J_0) ).
fof(f769,plain,
spl0_27,
inference(avatar_split_clause,[],[f185,f767]) ).
fof(f767,plain,
( spl0_27
<=> ! [X13,X14] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_ONonce(X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f185,axiom,
! [X14,X13] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_ONonce(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
fof(f765,plain,
spl0_26,
inference(avatar_split_clause,[],[f149,f763]) ).
fof(f763,plain,
( spl0_26
<=> ! [X10,X15] : c_Message_Omsg_ONumber(X10) != c_Message_Omsg_OHash(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f149,axiom,
! [X10,X15] : c_Message_Omsg_ONumber(X10) != c_Message_Omsg_OHash(X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I25_J_0) ).
fof(f761,plain,
spl0_25,
inference(avatar_split_clause,[],[f132,f759]) ).
fof(f759,plain,
( spl0_25
<=> ! [X10,X15] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OHash(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f132,axiom,
! [X10,X15] : c_Message_Omsg_ONonce(X10) != c_Message_Omsg_OHash(X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
fof(f757,plain,
spl0_24,
inference(avatar_split_clause,[],[f83,f755]) ).
fof(f755,plain,
( spl0_24
<=> ! [X13,X14] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_ONumber(X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f83,axiom,
! [X14,X13] : c_Message_Omsg_OAgent(X13) != c_Message_Omsg_ONumber(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I9_J_0) ).
fof(f753,plain,
spl0_23,
inference(avatar_split_clause,[],[f28,f751]) ).
fof(f751,plain,
( spl0_23
<=> ! [X14,X10] : c_Message_Omsg_ONumber(X10) != c_Message_Omsg_ONonce(X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f28,axiom,
! [X10,X14] : c_Message_Omsg_ONumber(X10) != c_Message_Omsg_ONonce(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I21_J_0) ).
fof(f749,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f544,f745,f741]) ).
fof(f544,axiom,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f748,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f543,f745,f741]) ).
fof(f543,axiom,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f739,plain,
spl0_20,
inference(avatar_split_clause,[],[f566,f737]) ).
fof(f737,plain,
( spl0_20
<=> ! [X9,X8] : c_fequal(X9,X9,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f566,axiom,
! [X8,X9] : c_fequal(X9,X9,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f735,plain,
spl0_19,
inference(avatar_split_clause,[],[f482,f733]) ).
fof(f733,plain,
( spl0_19
<=> ! [X10] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f482,axiom,
! [X10] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
fof(f731,plain,
spl0_18,
inference(avatar_split_clause,[],[f199,f728]) ).
fof(f728,plain,
( spl0_18
<=> hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f199,axiom,
hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
fof(f726,plain,
spl0_17,
inference(avatar_split_clause,[],[f69,f724]) ).
fof(f724,plain,
( spl0_17
<=> ! [X14] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f69,axiom,
! [X14] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
fof(f722,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f487,f719]) ).
fof(f719,plain,
( spl0_16
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f487,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
fof(f717,plain,
spl0_15,
inference(avatar_split_clause,[],[f565,f714]) ).
fof(f714,plain,
( spl0_15
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f565,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f712,plain,
spl0_14,
inference(avatar_split_clause,[],[f564,f709]) ).
fof(f564,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
fof(f707,plain,
spl0_13,
inference(avatar_split_clause,[],[f563,f704]) ).
fof(f704,plain,
( spl0_13
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f563,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f702,plain,
spl0_12,
inference(avatar_split_clause,[],[f562,f699]) ).
fof(f699,plain,
( spl0_12
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f562,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f697,plain,
spl0_11,
inference(avatar_split_clause,[],[f561,f694]) ).
fof(f694,plain,
( spl0_11
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f561,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f692,plain,
spl0_10,
inference(avatar_split_clause,[],[f560,f689]) ).
fof(f689,plain,
( spl0_10
<=> class_Lattices_Obounded__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f560,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f687,plain,
spl0_9,
inference(avatar_split_clause,[],[f559,f684]) ).
fof(f559,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f682,plain,
spl0_8,
inference(avatar_split_clause,[],[f558,f679]) ).
fof(f679,plain,
( spl0_8
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f558,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
fof(f677,plain,
spl0_7,
inference(avatar_split_clause,[],[f557,f674]) ).
fof(f674,plain,
( spl0_7
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f557,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
fof(f672,plain,
spl0_6,
inference(avatar_split_clause,[],[f556,f669]) ).
fof(f669,plain,
( spl0_6
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f556,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f667,plain,
spl0_5,
inference(avatar_split_clause,[],[f555,f664]) ).
fof(f664,plain,
( spl0_5
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f555,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f662,plain,
spl0_4,
inference(avatar_split_clause,[],[f554,f659]) ).
fof(f659,plain,
( spl0_4
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f554,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f657,plain,
spl0_3,
inference(avatar_split_clause,[],[f553,f654]) ).
fof(f654,plain,
( spl0_3
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f553,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f652,plain,
spl0_2,
inference(avatar_split_clause,[],[f552,f649]) ).
fof(f552,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(f647,plain,
spl0_1,
inference(avatar_split_clause,[],[f542,f644]) ).
fof(f542,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV724-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 21:01:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (11737)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (11740)WARNING: value z3 for option sas not known
% 0.17/0.37 % (11738)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.37 % (11743)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)
% 0.17/0.37 % (11739)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.37 % (11744)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)
% 0.17/0.37 % (11741)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.37 % (11740)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)
% 0.17/0.37 % (11742)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)
% 0.17/0.51 TRYING [1]
% 0.17/0.53 TRYING [2]
% 2.09/0.64 % (11742)First to succeed.
% 2.19/0.66 % (11742)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11737"
% 2.19/0.66 % (11742)Refutation found. Thanks to Tanya!
% 2.19/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.19/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.67 % (11742)------------------------------
% 2.19/0.67 % (11742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.19/0.67 % (11742)Termination reason: Refutation
% 2.19/0.67
% 2.19/0.67 % (11742)Memory used [KB]: 5026
% 2.19/0.67 % (11742)Time elapsed: 0.291 s
% 2.19/0.67 % (11742)Instructions burned: 527 (million)
% 2.19/0.67 % (11737)Success in time 0.332 s
%------------------------------------------------------------------------------