TSTP Solution File: SWV748-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV748-1 : 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 : n026.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 11:10:55 EDT 2024
% Result : Unsatisfiable 2.43s 0.72s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 952
% Syntax : Number of formulae : 1637 ( 626 unt; 0 def)
% Number of atoms : 3431 ( 587 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 3080 (1286 ~;1293 |; 0 &)
% ( 501 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 518 ( 516 usr; 502 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 24 con; 0-4 aty)
% Number of variables : 2790 (2790 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8366,plain,
$false,
inference(avatar_sat_refutation,[],[f681,f686,f691,f696,f701,f710,f715,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f789,f794,f799,f804,f809,f814,f819,f823,f828,f834,f842,f843,f848,f853,f854,f859,f864,f868,f873,f877,f881,f885,f889,f893,f897,f901,f905,f909,f913,f917,f921,f925,f929,f933,f937,f941,f945,f949,f953,f957,f961,f965,f969,f973,f977,f988,f992,f996,f1000,f1004,f1008,f1012,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1049,f1053,f1064,f1068,f1072,f1076,f1080,f1084,f1088,f1092,f1096,f1100,f1105,f1109,f1113,f1117,f1121,f1125,f1129,f1133,f1152,f1159,f1165,f1166,f1171,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1217,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1253,f1257,f1261,f1265,f1269,f1273,f1277,f1281,f1285,f1289,f1307,f1328,f1363,f1367,f1371,f1375,f1379,f1383,f1387,f1394,f1398,f1402,f1406,f1410,f1414,f1418,f1422,f1426,f1430,f1435,f1439,f1443,f1447,f1451,f1456,f1461,f1471,f1486,f1506,f1511,f1515,f1519,f1523,f1527,f1531,f1535,f1539,f1543,f1547,f1551,f1556,f1560,f1564,f1568,f1572,f1576,f1580,f1584,f1588,f1592,f1596,f1601,f1605,f1609,f1696,f1700,f1704,f1708,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1776,f1780,f1784,f1788,f1930,f1936,f1940,f1944,f1948,f1952,f1956,f1960,f1964,f1969,f1973,f1977,f1981,f1985,f1989,f1993,f1997,f2001,f2005,f2009,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2188,f2362,f2384,f2388,f2392,f2396,f2400,f2404,f2409,f2413,f2417,f2421,f2425,f2429,f2433,f2437,f2441,f2445,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2491,f2495,f2499,f2503,f2507,f2511,f2515,f2519,f2523,f2527,f2531,f2536,f2540,f2545,f2551,f2987,f3040,f3051,f3057,f3063,f3067,f3071,f3075,f3079,f3083,f3087,f3091,f3095,f3099,f3103,f3107,f3111,f3115,f3119,f3123,f3137,f3141,f3145,f3149,f3153,f3157,f3161,f3165,f3169,f3181,f3444,f3645,f3649,f3653,f3657,f3661,f3665,f3669,f3673,f3677,f3681,f3685,f3689,f3693,f3697,f3701,f3705,f3709,f3713,f3717,f3721,f3725,f3729,f4032,f4059,f4063,f4067,f4071,f4076,f4080,f4084,f4088,f4092,f4096,f4100,f4104,f4108,f4112,f4116,f4121,f4125,f4310,f4388,f4392,f4396,f4400,f4404,f4408,f4412,f4416,f4420,f4424,f4428,f4432,f4674,f4686,f4690,f4694,f4698,f4702,f4706,f4710,f4714,f4718,f4722,f4726,f5113,f5117,f5121,f5125,f5129,f5133,f5137,f5141,f5145,f5149,f5153,f5157,f5161,f5165,f5169,f5486,f5490,f5494,f5498,f5502,f5506,f5510,f5514,f5518,f5522,f5526,f5532,f5536,f5540,f5544,f5712,f6006,f6010,f6014,f6018,f6022,f6026,f6030,f6034,f6038,f6306,f6310,f6314,f6318,f6322,f6326,f6330,f6334,f6338,f6342,f6346,f6863,f6867,f6871,f6904,f6908,f6912,f6916,f6920,f6924,f6929,f7100,f7104,f7108,f7112,f7116,f7274,f7278,f7282,f7286,f7290,f7294,f7390,f7394,f7398,f7402,f7406,f7492,f7505,f7510,f7514,f7518,f7753,f7762,f7766,f7770,f7775,f7821,f7834,f7838,f7957,f8008,f8012,f8020,f8024,f8044,f8048,f8062,f8082,f8086,f8091,f8097,f8102,f8106,f8110,f8114,f8118,f8167,f8171,f8179,f8195,f8239,f8246,f8250,f8255,f8280,f8293,f8301,f8315,f8319,f8321,f8329,f8334,f8344,f8348,f8355,f8357,f8364,f8365]) ).
fof(f8365,plain,
( spl0_480
| ~ spl0_201
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f8360,f3054,f1746,f8088]) ).
fof(f8088,plain,
( spl0_480
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f1746,plain,
( spl0_201
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f3054,plain,
( spl0_287
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f8360,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_201
| ~ spl0_287 ),
inference(resolution,[],[f3055,f1747]) ).
fof(f1747,plain,
( ! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f3055,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f3054]) ).
fof(f8364,plain,
( spl0_342
| ~ spl0_132
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f8363,f3054,f1283,f4073]) ).
fof(f4073,plain,
( spl0_342
<=> hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),hAPP(c_Message_Omsg_OKey,v_KAB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f1283,plain,
( spl0_132
<=> ! [X54,X4,X5] :
( hBOOL(hAPP(X54,X4))
| ~ hBOOL(c_in(X4,X54,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f8363,plain,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),hAPP(c_Message_Omsg_OKey,v_KAB)))
| ~ spl0_132
| ~ spl0_287 ),
inference(resolution,[],[f3055,f1284]) ).
fof(f1284,plain,
( ! [X54,X4,X5] :
( ~ hBOOL(c_in(X4,X54,X5))
| hBOOL(hAPP(X54,X4)) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f8357,plain,
( spl0_287
| spl0_1
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f8267,f839,f678,f3054]) ).
fof(f678,plain,
( spl0_1
<=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f839,plain,
( spl0_33
<=> v_A = v_Aa ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f8267,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_33 ),
inference(forward_demodulation,[],[f639,f841]) ).
fof(f841,plain,
( v_A = v_Aa
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f639,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(duplicate_literal_removal,[],[f566]) ).
fof(f566,axiom,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_32) ).
fof(f8355,plain,
( spl0_1
| ~ spl0_33
| ~ spl0_41
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f8260,f4716,f879,f839,f678]) ).
fof(f879,plain,
( spl0_41
<=> ! [X5,X10] : c_lessequals(X10,X10,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f4716,plain,
( spl0_377
<=> ! [X0] :
( ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool))
| hBOOL(c_in(v_Aa,X0,tc_Message_Oagent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f8260,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_33
| ~ spl0_41
| ~ spl0_377 ),
inference(forward_demodulation,[],[f7333,f841]) ).
fof(f7333,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_41
| ~ spl0_377 ),
inference(resolution,[],[f4717,f880]) ).
fof(f880,plain,
( ! [X10,X5] : c_lessequals(X10,X10,tc_fun(X5,tc_bool))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f4717,plain,
( ! [X0] :
( ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool))
| hBOOL(c_in(v_Aa,X0,tc_Message_Oagent)) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f4716]) ).
fof(f8348,plain,
( spl0_501
| ~ spl0_104
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8218,f1449,f1168,f8346]) ).
fof(f8346,plain,
( spl0_501
<=> ! [X0] : ~ hBOOL(c_in(v_NA,c_Message_Oparts(c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f1168,plain,
( spl0_104
<=> c_Message_Omsg_ONonce(v_NAa) = v_NA ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1449,plain,
( spl0_157
<=> ! [X34,X11] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f8218,plain,
( ! [X0] : ~ hBOOL(c_in(v_NA,c_Message_Oparts(c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg))
| ~ spl0_104
| ~ spl0_157 ),
inference(superposition,[],[f1450,f1170]) ).
fof(f1170,plain,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1450,plain,
( ! [X11,X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg))
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f8344,plain,
( spl0_500
| ~ spl0_104
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f8217,f1385,f1168,f8342]) ).
fof(f8342,plain,
( spl0_500
<=> ! [X0] : ~ hBOOL(c_in(v_NA,c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f1385,plain,
( spl0_142
<=> ! [X4,X10] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X4),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f8217,plain,
( ! [X0] : ~ hBOOL(c_in(v_NA,c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl0_104
| ~ spl0_142 ),
inference(superposition,[],[f1386,f1170]) ).
fof(f1386,plain,
( ! [X10,X4] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X4),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f8334,plain,
( spl0_499
| ~ spl0_104
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f8216,f1243,f1168,f8332]) ).
fof(f8332,plain,
( spl0_499
<=> ! [X0] : c_Message_OkeysFor(X0) = c_Message_OkeysFor(c_Set_Oinsert(v_NA,X0,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f1243,plain,
( spl0_122
<=> ! [X34,X2] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f8216,plain,
( ! [X0] : c_Message_OkeysFor(X0) = c_Message_OkeysFor(c_Set_Oinsert(v_NA,X0,tc_Message_Omsg))
| ~ spl0_104
| ~ spl0_122 ),
inference(superposition,[],[f1244,f1170]) ).
fof(f1244,plain,
( ! [X2,X34] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f8329,plain,
( ~ spl0_498
| ~ spl0_33
| spl0_221 ),
inference(avatar_split_clause,[],[f8324,f1966,f839,f8326]) ).
fof(f8326,plain,
( spl0_498
<=> c_Event_Obad = c_Set_Oinsert(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f1966,plain,
( spl0_221
<=> c_Event_Obad = c_Set_Oinsert(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f8324,plain,
( c_Event_Obad != c_Set_Oinsert(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_33
| spl0_221 ),
inference(forward_demodulation,[],[f1967,f841]) ).
fof(f1967,plain,
( c_Event_Obad != c_Set_Oinsert(v_Aa,c_Event_Obad,tc_Message_Oagent)
| spl0_221 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f8321,plain,
( spl0_153
| ~ spl0_33
| ~ spl0_221
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f8268,f7832,f1966,f839,f1432]) ).
fof(f1432,plain,
( spl0_153
<=> hBOOL(hAPP(c_Event_Obad,v_A)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f7832,plain,
( spl0_468
<=> ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),v_Aa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f8268,plain,
( hBOOL(hAPP(c_Event_Obad,v_A))
| ~ spl0_33
| ~ spl0_221
| ~ spl0_468 ),
inference(forward_demodulation,[],[f8026,f841]) ).
fof(f8026,plain,
( hBOOL(hAPP(c_Event_Obad,v_Aa))
| ~ spl0_221
| ~ spl0_468 ),
inference(superposition,[],[f7833,f1968]) ).
fof(f1968,plain,
( c_Event_Obad = c_Set_Oinsert(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f7833,plain,
( ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),v_Aa))
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f7832]) ).
fof(f8319,plain,
( spl0_497
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f8214,f1168,f1127,f8317]) ).
fof(f8317,plain,
( spl0_497
<=> ! [X0] :
( v_NA != c_Message_Omsg_ONonce(X0)
| v_NAa = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f1127,plain,
( spl0_99
<=> ! [X62,X63] :
( X62 = X63
| c_Message_Omsg_ONonce(X63) != c_Message_Omsg_ONonce(X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f8214,plain,
( ! [X0] :
( v_NA != c_Message_Omsg_ONonce(X0)
| v_NAa = X0 )
| ~ spl0_99
| ~ spl0_104 ),
inference(superposition,[],[f1128,f1170]) ).
fof(f1128,plain,
( ! [X62,X63] :
( c_Message_Omsg_ONonce(X63) != c_Message_Omsg_ONonce(X62)
| X62 = X63 )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f8315,plain,
( ~ spl0_496
| ~ spl0_91
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f8213,f1168,f1094,f8312]) ).
fof(f8312,plain,
( spl0_496
<=> hBOOL(c_in(v_NA,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f1094,plain,
( spl0_91
<=> ! [X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f8213,plain,
( ~ hBOOL(c_in(v_NA,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
| ~ spl0_91
| ~ spl0_104 ),
inference(superposition,[],[f1095,f1170]) ).
fof(f1095,plain,
( ! [X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f8301,plain,
spl0_495,
inference(avatar_split_clause,[],[f460,f8299]) ).
fof(f8299,plain,
( spl0_495
<=> ! [X42,X60,X11,X10,X25,X43] :
( ~ hBOOL(c_in(X42,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X60,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oused(X60),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X60,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OAgent(X10)))))))),X60,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f460,axiom,
! [X10,X11,X60,X42,X25,X43] :
( ~ hBOOL(c_in(X42,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X60,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oused(X60),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X60,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OAgent(X10)))))))),X60,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
fof(f8293,plain,
spl0_494,
inference(avatar_split_clause,[],[f457,f8291]) ).
fof(f8291,plain,
( spl0_494
<=> ! [X55,X11,X57,X17,X0,X56,X10,X54,X43] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X57,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),c_Message_Omsg_ONonce(X55)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f457,axiom,
! [X10,X0,X11,X56,X54,X57,X55,X17,X43] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X57,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),c_Message_Omsg_ONonce(X55)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
fof(f8280,plain,
spl0_493,
inference(avatar_split_clause,[],[f448,f8278]) ).
fof(f8278,plain,
( spl0_493
<=> ! [X42,X60,X11,X10,X25,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X60))
| ~ hBOOL(c_in(X42,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oused(X60),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X60,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OAgent(X10)))))))),X60,tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f448,axiom,
! [X10,X11,X60,X42,X25,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X60))
| ~ hBOOL(c_in(X42,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oused(X60),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X60,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X42),c_Message_Omsg_OAgent(X10)))))))),X60,tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
fof(f8255,plain,
( spl0_153
| ~ spl0_33
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8204,f1598,f839,f1432]) ).
fof(f1598,plain,
( spl0_185
<=> hBOOL(hAPP(c_Event_Obad,v_Aa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f8204,plain,
( hBOOL(hAPP(c_Event_Obad,v_A))
| ~ spl0_33
| ~ spl0_185 ),
inference(superposition,[],[f1600,f841]) ).
fof(f1600,plain,
( hBOOL(hAPP(c_Event_Obad,v_Aa))
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f8250,plain,
spl0_492,
inference(avatar_split_clause,[],[f458,f8248]) ).
fof(f8248,plain,
( spl0_492
<=> ! [X17,X55,X11,X0,X10,X58,X43] :
( ~ hBOOL(c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),hAPP(c_Message_Omsg_OKey,X17)))),X58,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f458,axiom,
! [X58,X10,X0,X11,X55,X17,X43] :
( ~ hBOOL(c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),hAPP(c_Message_Omsg_OKey,X17)))),X58,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
fof(f8246,plain,
spl0_491,
inference(avatar_split_clause,[],[f455,f8244]) ).
fof(f8244,plain,
( spl0_491
<=> ! [X17,X53,X11,X0,X10,X54,X43] :
( c_Message_Oagent_OServer = X10
| ~ hBOOL(c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X53,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f455,axiom,
! [X10,X0,X11,X54,X17,X53,X43] :
( c_Message_Oagent_OServer = X10
| ~ hBOOL(c_in(X53,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X53,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
fof(f8239,plain,
spl0_490,
inference(avatar_split_clause,[],[f443,f8237]) ).
fof(f8237,plain,
( spl0_490
<=> ! [X55,X11,X57,X17,X0,X56,X10,X54,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X56))
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X57,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),c_Message_Omsg_ONonce(X55)))),X56,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f443,axiom,
! [X10,X0,X11,X56,X54,X57,X55,X17,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X56))
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X57,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),c_Message_Omsg_ONonce(X55)))),X56,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X56,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
fof(f8195,plain,
( spl0_5
| ~ spl0_270
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f8143,f8088,f2497,f698]) ).
fof(f698,plain,
( spl0_5
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2497,plain,
( spl0_270
<=> ! [X16,X7] :
( hBOOL(c_in(X7,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f8143,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_270
| ~ spl0_480 ),
inference(resolution,[],[f8090,f2498]) ).
fof(f2498,plain,
( ! [X7,X16] :
( ~ hBOOL(c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Event_Oused(X16),tc_Message_Omsg)) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f8090,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f8088]) ).
fof(f8179,plain,
spl0_489,
inference(avatar_split_clause,[],[f340,f8177]) ).
fof(f8177,plain,
( spl0_489
<=> ! [X38,X16,X17] :
( hBOOL(c_in(X17,X38,tc_nat))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ c_lessequals(X38,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X38,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f340,axiom,
! [X38,X16,X17] :
( hBOOL(c_in(X17,X38,tc_nat))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ c_lessequals(X38,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X38,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK_0) ).
fof(f8171,plain,
spl0_488,
inference(avatar_split_clause,[],[f444,f8169]) ).
fof(f8169,plain,
( spl0_488
<=> ! [X17,X55,X11,X0,X10,X58,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X58))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),hAPP(c_Message_Omsg_OKey,X17)))),X58,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f444,axiom,
! [X58,X10,X0,X11,X55,X17,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X58))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X55),hAPP(c_Message_Omsg_OKey,X17)))),X58,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
fof(f8167,plain,
spl0_487,
inference(avatar_split_clause,[],[f440,f8165]) ).
fof(f8165,plain,
( spl0_487
<=> ! [X17,X53,X11,X0,X10,X54,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X53))
| c_Message_Oagent_OServer = X10
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X53,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f440,axiom,
! [X10,X0,X11,X54,X17,X53,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X53))
| c_Message_Oagent_OServer = X10
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X53,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X53,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
fof(f8118,plain,
spl0_486,
inference(avatar_split_clause,[],[f495,f8116]) ).
fof(f8116,plain,
( spl0_486
<=> ! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X0 = X33
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f495,axiom,
! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X0 = X33
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
fof(f8114,plain,
spl0_485,
inference(avatar_split_clause,[],[f494,f8112]) ).
fof(f8112,plain,
( spl0_485
<=> ! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X11 = X57
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f494,axiom,
! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X11 = X57
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
fof(f8110,plain,
spl0_484,
inference(avatar_split_clause,[],[f493,f8108]) ).
fof(f8108,plain,
( spl0_484
<=> ! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X43 = X68
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f493,axiom,
! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X43 = X68
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
fof(f8106,plain,
spl0_483,
inference(avatar_split_clause,[],[f492,f8104]) ).
fof(f8104,plain,
( spl0_483
<=> ! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X10 = X25
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f492,axiom,
! [X10,X0,X11,X68,X57,X16,X17,X25,X43,X33] :
( X10 = X25
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X25,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X25),c_Message_Omsg_OMPair(X68,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X57),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X33))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
fof(f8102,plain,
spl0_482,
inference(avatar_split_clause,[],[f461,f8100]) ).
fof(f8100,plain,
( spl0_482
<=> ! [X17,X10,X11,X0,X16,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f461,axiom,
! [X10,X0,X11,X16,X17,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
fof(f8097,plain,
spl0_481,
inference(avatar_split_clause,[],[f459,f8095]) ).
fof(f8095,plain,
( spl0_481
<=> ! [X17,X59,X55,X11,X10,X25] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X55),c_Event_Oused(X59),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),X59,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f459,axiom,
! [X10,X59,X11,X55,X17,X25] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X55),c_Event_Oused(X59),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),X59,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
fof(f8091,plain,
( spl0_480
| ~ spl0_103
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f7500,f7400,f1162,f8088]) ).
fof(f1162,plain,
( spl0_103
<=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f7400,plain,
( spl0_455
<=> ! [X17,X10,X11,X0,X16,X43] :
( hBOOL(c_in(X17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OMPair(X17,X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f7500,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_103
| ~ spl0_455 ),
inference(resolution,[],[f7401,f1164]) ).
fof(f1164,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f7401,plain,
( ! [X10,X0,X11,X16,X17,X43] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OMPair(X17,X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f7400]) ).
fof(f8086,plain,
spl0_479,
inference(avatar_split_clause,[],[f516,f8084]) ).
fof(f8084,plain,
( spl0_479
<=> ! [X17,X10,X11,X54,X0,X16,X43] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f516,axiom,
! [X10,X0,X11,X54,X16,X17,X43] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
fof(f8082,plain,
spl0_478,
inference(avatar_split_clause,[],[f450,f8080]) ).
fof(f8080,plain,
( spl0_478
<=> ! [X17,X10,X54,X11,X0,X16,X43] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f450,axiom,
! [X10,X0,X11,X54,X16,X17,X43] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X43),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
fof(f8062,plain,
spl0_477,
inference(avatar_split_clause,[],[f628,f8060]) ).
fof(f8060,plain,
( spl0_477
<=> ! [X0,X16,X10] :
( c_Message_Oagent_OSpy = X10
| hBOOL(c_in(X0,c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OGets(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X10,X0,X16),X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f628,plain,
! [X10,X0,X16] :
( c_Message_Oagent_OSpy = X10
| hBOOL(c_in(X0,c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OGets(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X10,X0,X16),X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(definition_unfolding,[],[f371,f136]) ).
fof(f136,axiom,
! [X10] : c_Event_OinitState(X10) = c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
fof(f371,axiom,
! [X10,X0,X16] :
( c_Message_Oagent_OSpy = X10
| hBOOL(c_in(X0,c_Event_OinitState(X10),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OGets(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_OSays(X10,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X10,X0,X16),X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
fof(f8048,plain,
spl0_476,
inference(avatar_split_clause,[],[f447,f8046]) ).
fof(f8046,plain,
( spl0_476
<=> ! [X59,X11,X55,X17,X10,X25] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X59))
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_Omsg_ONonce(X55),c_Event_Oused(X59),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),X59,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f447,axiom,
! [X10,X59,X11,X55,X17,X25] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X59))
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_Omsg_ONonce(X55),c_Event_Oused(X59),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X10,c_Message_Omsg_OCrypt(X17,c_Message_Omsg_ONonce(X55))),X59,tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X25,X11,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
fof(f8044,plain,
spl0_475,
inference(avatar_split_clause,[],[f381,f8042]) ).
fof(f8042,plain,
( spl0_475
<=> ! [X16,X17,X42] :
( X17 = X42
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(X42,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f381,axiom,
! [X16,X17,X42] :
( X17 = X42
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(X42,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X42),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
fof(f8024,plain,
spl0_474,
inference(avatar_split_clause,[],[f456,f8022]) ).
fof(f8022,plain,
( spl0_474
<=> ! [X17,X10,X11,X0,X16,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f456,axiom,
! [X10,X0,X11,X16,X17,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
fof(f8020,plain,
spl0_473,
inference(avatar_split_clause,[],[f435,f8018]) ).
fof(f8018,plain,
( spl0_473
<=> ! [X17,X10,X11,X0,X16,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f435,axiom,
! [X10,X0,X11,X16,X17,X43] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
fof(f8012,plain,
spl0_472,
inference(avatar_split_clause,[],[f525,f8010]) ).
fof(f8010,plain,
( spl0_472
<=> ! [X17,X10,X11,X34,X0,X16,X24] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f525,axiom,
! [X10,X0,X11,X16,X17,X24,X34] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),c_Message_Omsg_OAgent(X10))) = X0
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
fof(f8008,plain,
spl0_471,
inference(avatar_split_clause,[],[f446,f8006]) ).
fof(f8006,plain,
( spl0_471
<=> ! [X17,X10,X34,X11,X0,X16,X24] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f446,axiom,
! [X10,X0,X11,X16,X17,X24,X34] :
( ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
fof(f7957,plain,
spl0_470,
inference(avatar_split_clause,[],[f169,f7955]) ).
fof(f7955,plain,
( spl0_470
<=> ! [X17,X0,X23,X2] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X0,X23,tc_Message_Omsg))),tc_nat))
| hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f169,axiom,
! [X2,X0,X17,X23] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X0,X23,tc_Message_Omsg))),tc_nat))
| hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
fof(f7838,plain,
spl0_469,
inference(avatar_split_clause,[],[f162,f7836]) ).
fof(f7836,plain,
( spl0_469
<=> ! [X23,X29,X2,X30] :
( ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X29),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X30),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f162,axiom,
! [X2,X29,X23,X30] :
( ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X29),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X30),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
fof(f7834,plain,
( spl0_468
| ~ spl0_132
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f7757,f7490,f1283,f7832]) ).
fof(f7490,plain,
( spl0_457
<=> ! [X0] : hBOOL(c_in(v_Aa,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f7757,plain,
( ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),v_Aa))
| ~ spl0_132
| ~ spl0_457 ),
inference(resolution,[],[f7491,f1284]) ).
fof(f7491,plain,
( ! [X0] : hBOOL(c_in(v_Aa,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent))
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f7490]) ).
fof(f7821,plain,
spl0_467,
inference(avatar_split_clause,[],[f195,f7819]) ).
fof(f7819,plain,
( spl0_467
<=> ! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f195,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
fof(f7775,plain,
( spl0_466
| ~ spl0_46
| ~ spl0_195
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f7771,f7768,f1722,f899,f7773]) ).
fof(f7773,plain,
( spl0_466
<=> ! [X2,X0,X7] :
( hBOOL(c_in(X7,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f899,plain,
( spl0_46
<=> ! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1722,plain,
( spl0_195
<=> ! [X2] : c_Message_Oparts(c_Message_Osynth(X2)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f7768,plain,
( spl0_465
<=> ! [X2,X0,X7] :
( hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f7771,plain,
( ! [X2,X0,X7] :
( hBOOL(c_in(X7,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg)) )
| ~ spl0_46
| ~ spl0_195
| ~ spl0_465 ),
inference(forward_demodulation,[],[f7769,f1865]) ).
fof(f1865,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_195 ),
inference(superposition,[],[f1723,f900]) ).
fof(f900,plain,
( ! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1723,plain,
( ! [X2] : c_Message_Oparts(c_Message_Osynth(X2)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f7769,plain,
( ! [X2,X0,X7] :
( hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg)) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f7768]) ).
fof(f7770,plain,
spl0_465,
inference(avatar_split_clause,[],[f676,f7768]) ).
fof(f676,plain,
! [X2,X0,X7] :
( hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f675,f269]) ).
fof(f269,axiom,
! [X10,X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
fof(f675,plain,
! [X2,X0,X7] :
( ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f674,f173]) ).
fof(f173,axiom,
! [X14,X4,X5] : c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5) = c_Set_Oinsert(X4,c_List_Oset(X14,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f674,plain,
! [X2,X0,X7] :
( ~ hBOOL(c_in(X7,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(X2)),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f133,f47]) ).
fof(f47,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty2_1) ).
fof(f133,axiom,
! [X2,X0,X7] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,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(X7,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
fof(f7766,plain,
spl0_464,
inference(avatar_split_clause,[],[f487,f7764]) ).
fof(f7764,plain,
( spl0_464
<=> ! [X24,X10,X11,X34,X0,X16,X17] :
( hAPP(c_Public_OshrK,X10) = X24
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f487,axiom,
! [X10,X0,X11,X16,X34,X24,X17] :
( hAPP(c_Public_OshrK,X10) = X24
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(X24,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X17),X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
fof(f7762,plain,
spl0_463,
inference(avatar_split_clause,[],[f451,f7760]) ).
fof(f7760,plain,
( spl0_463
<=> ! [X44,X11,X10,X43] :
( ~ hBOOL(c_in(X44,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X43),c_Event_Oused(X44),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),X44,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f451,axiom,
! [X10,X11,X44,X43] :
( ~ hBOOL(c_in(X44,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Message_Omsg_ONonce(X43),c_Event_Oused(X44),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),X44,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
fof(f7753,plain,
spl0_462,
inference(avatar_split_clause,[],[f321,f7751]) ).
fof(f7751,plain,
( spl0_462
<=> ! [X17,X0,X23,X2] :
( ~ c_lessequals(X2,X23,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X23),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Set_Oinsert(X0,X23,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f321,axiom,
! [X2,X0,X17,X23] :
( ~ c_lessequals(X2,X23,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X23),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Set_Oinsert(X0,X23,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
fof(f7518,plain,
spl0_461,
inference(avatar_split_clause,[],[f333,f7516]) ).
fof(f7516,plain,
( spl0_461
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f333,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lemma2_0) ).
fof(f7514,plain,
spl0_460,
inference(avatar_split_clause,[],[f238,f7512]) ).
fof(f7512,plain,
( spl0_460
<=> ! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X23)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X23)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,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_460])]) ).
fof(f238,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X23)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X23)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
fof(f7510,plain,
spl0_459,
inference(avatar_split_clause,[],[f155,f7508]) ).
fof(f7508,plain,
( spl0_459
<=> ! [X5,X10,X9,X8] :
( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| c_lessequals(c_Set_Oimage(X8,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5,X9),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X8,X10,X5,X9),tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f155,axiom,
! [X10,X8,X9,X5] :
( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| c_lessequals(c_Set_Oimage(X8,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5,X9),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X8,X10,X5,X9),tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__Compl__subset_0) ).
fof(f7505,plain,
spl0_458,
inference(avatar_split_clause,[],[f673,f7503]) ).
fof(f7503,plain,
( spl0_458
<=> ! [X2,X0,X31] :
( hBOOL(c_in(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X31,c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f673,plain,
! [X31,X2,X0] :
( hBOOL(c_in(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X31,c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f163,f269]) ).
fof(f163,axiom,
! [X2,X31,X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X31,c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
fof(f7492,plain,
( spl0_457
| ~ spl0_117
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f7338,f4716,f1223,f7490]) ).
fof(f1223,plain,
( spl0_117
<=> ! [X6,X5,X11] : c_lessequals(X11,c_Set_Oinsert(X6,X11,X5),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f7338,plain,
( ! [X0] : hBOOL(c_in(v_Aa,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent))
| ~ spl0_117
| ~ spl0_377 ),
inference(resolution,[],[f4717,f1224]) ).
fof(f1224,plain,
( ! [X11,X6,X5] : c_lessequals(X11,c_Set_Oinsert(X6,X11,X5),tc_fun(X5,tc_bool))
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f7406,plain,
spl0_456,
inference(avatar_split_clause,[],[f670,f7404]) ).
fof(f7404,plain,
( spl0_456
<=> ! [X2,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_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f670,plain,
! [X2,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_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f669,f173]) ).
fof(f669,plain,
! [X2,X0] :
( 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(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f668,f47]) ).
fof(f668,plain,
! [X2,X0] :
( 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(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f130,f269]) ).
fof(f130,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),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(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
fof(f7402,plain,
spl0_455,
inference(avatar_split_clause,[],[f454,f7400]) ).
fof(f454,axiom,
! [X10,X0,X11,X16,X17,X43] :
( hBOOL(c_in(X17,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),c_Message_Omsg_OMPair(X43,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OMPair(X17,X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
fof(f7398,plain,
spl0_454,
inference(avatar_split_clause,[],[f436,f7396]) ).
fof(f7396,plain,
( spl0_454
<=> ! [X16,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16))),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f436,axiom,
! [X16,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16))),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f7394,plain,
spl0_453,
inference(avatar_split_clause,[],[f121,f7392]) ).
fof(f7392,plain,
( spl0_453
<=> ! [X5,X10,X11,X9,X8] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| ~ c_lessequals(c_Set_Oimage(X8,X10,X5,X9),c_Set_Oimage(X8,X11,X5,X9),tc_fun(X9,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f121,axiom,
! [X10,X11,X8,X9,X5] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| ~ c_lessequals(c_Set_Oimage(X8,X10,X5,X9),c_Set_Oimage(X8,X11,X5,X9),tc_fun(X9,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
fof(f7390,plain,
spl0_452,
inference(avatar_split_clause,[],[f65,f7388]) ).
fof(f7388,plain,
( spl0_452
<=> ! [X18,X11,X10,X5,X19] :
( ~ c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X19,tc_fun(X5,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X18,X19,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f65,axiom,
! [X10,X11,X18,X19,X5] :
( ~ c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X19,tc_fun(X5,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X18,X19,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
fof(f7294,plain,
spl0_451,
inference(avatar_split_clause,[],[f473,f7292]) ).
fof(f7292,plain,
( spl0_451
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f473,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
fof(f7290,plain,
spl0_450,
inference(avatar_split_clause,[],[f379,f7288]) ).
fof(f7288,plain,
( spl0_450
<=> ! [X41,X0,X11] :
( ~ hBOOL(c_in(X41,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,X41))),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X11,X0),X41,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f379,axiom,
! [X41,X0,X11] :
( ~ hBOOL(c_in(X41,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,X41))),tc_Message_Omsg))
| hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X11,X0),X41,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
fof(f7286,plain,
spl0_449,
inference(avatar_split_clause,[],[f198,f7284]) ).
fof(f7284,plain,
( spl0_449
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f198,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
fof(f7282,plain,
spl0_448,
inference(avatar_split_clause,[],[f51,f7280]) ).
fof(f7280,plain,
( spl0_448
<=> ! [X4,X5,X10] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) = X10
| ~ c_lessequals(X10,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f51,axiom,
! [X10,X4,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) = X10
| ~ c_lessequals(X10,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
fof(f7278,plain,
spl0_447,
inference(avatar_split_clause,[],[f41,f7276]) ).
fof(f7276,plain,
( spl0_447
<=> ! [X6,X13,X5,X15,X7] :
( X13 = X15
| X7 = X13
| c_Set_Oinsert(X6,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X7,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f41,axiom,
! [X6,X7,X15,X5,X13] :
( X13 = X15
| X7 = X13
| c_Set_Oinsert(X6,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X7,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
fof(f7274,plain,
spl0_446,
inference(avatar_split_clause,[],[f38,f7272]) ).
fof(f7272,plain,
( spl0_446
<=> ! [X5,X7,X13,X6,X15] :
( X6 = X7
| X6 = X15
| c_Set_Oinsert(X6,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X7,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f38,axiom,
! [X6,X7,X15,X5,X13] :
( X6 = X7
| X6 = X15
| c_Set_Oinsert(X6,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X7,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
fof(f7116,plain,
spl0_445,
inference(avatar_split_clause,[],[f660,f7114]) ).
fof(f7114,plain,
( spl0_445
<=> ! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,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(X1,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f660,plain,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,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(X1,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f659,f173]) ).
fof(f659,plain,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,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(X1,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f658,f173]) ).
fof(f658,plain,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f657,f47]) ).
fof(f657,plain,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f656,f10]) ).
fof(f10,axiom,
! [X10,X6,X5] : c_Set_Oinsert(X6,X10,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X10,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
fof(f656,plain,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,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(X1,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(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f1,f85]) ).
fof(f85,axiom,
! [X2,X23] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
fof(f1,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,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(X1,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(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
fof(f7112,plain,
spl0_444,
inference(avatar_split_clause,[],[f489,f7110]) ).
fof(f7110,plain,
( spl0_444
<=> ! [X2,X0,X10] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),X0),c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f489,axiom,
! [X2,X10,X0] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),X0),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
fof(f7108,plain,
spl0_443,
inference(avatar_split_clause,[],[f449,f7106]) ).
fof(f7106,plain,
( spl0_443
<=> ! [X17,X10,X34,X11,X0,X16,X61,X54] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(X61,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OMPair(X17,X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f449,axiom,
! [X10,X0,X11,X54,X16,X34,X17,X61] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X54,X10,c_Message_Omsg_OCrypt(X61,c_Message_Omsg_OMPair(X34,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OMPair(X17,X0))))),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
fof(f7104,plain,
spl0_442,
inference(avatar_split_clause,[],[f385,f7102]) ).
fof(f7102,plain,
( spl0_442
<=> ! [X44,X11,X10,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X44))
| hBOOL(c_in(c_Message_Omsg_ONonce(X43),c_Event_Oused(X44),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),X44,tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f385,axiom,
! [X10,X11,X44,X43] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X44))
| hBOOL(c_in(c_Message_Omsg_ONonce(X43),c_Event_Oused(X44),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_ONonce(X43)))),X44,tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
fof(f7100,plain,
spl0_441,
inference(avatar_split_clause,[],[f99,f7098]) ).
fof(f7098,plain,
( spl0_441
<=> ! [X0,X23,X2,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X0,X23,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f99,axiom,
! [X2,X0,X1,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X0,X23,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
fof(f6929,plain,
( spl0_440
| ~ spl0_46
| ~ spl0_195
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f6925,f6922,f1722,f899,f6927]) ).
fof(f6927,plain,
( spl0_440
<=> ! [X2,X0] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f6922,plain,
( spl0_439
<=> ! [X2,X0] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f6925,plain,
( ! [X2,X0] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) )
| ~ spl0_46
| ~ spl0_195
| ~ spl0_439 ),
inference(forward_demodulation,[],[f6923,f1865]) ).
fof(f6923,plain,
( ! [X2,X0] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f6922]) ).
fof(f6924,plain,
spl0_439,
inference(avatar_split_clause,[],[f667,f6922]) ).
fof(f667,plain,
! [X2,X0] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f116,f269]) ).
fof(f116,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
fof(f6920,plain,
spl0_438,
inference(avatar_split_clause,[],[f521,f6918]) ).
fof(f6918,plain,
( spl0_438
<=> ! [X16,X0,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f521,axiom,
! [X10,X0,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
fof(f6916,plain,
spl0_437,
inference(avatar_split_clause,[],[f329,f6914]) ).
fof(f6914,plain,
( spl0_437
<=> ! [X23,X29,X2,X30] :
( c_Message_Oanalz(X2) != c_Message_Oanalz(X30)
| c_Message_Oanalz(X23) != c_Message_Oanalz(X29)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f329,axiom,
! [X2,X29,X23,X30] :
( c_Message_Oanalz(X2) != c_Message_Oanalz(X30)
| c_Message_Oanalz(X23) != c_Message_Oanalz(X29)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X29,X30,tc_fun(tc_Message_Omsg,tc_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cong_0) ).
fof(f6912,plain,
spl0_436,
inference(avatar_split_clause,[],[f310,f6910]) ).
fof(f6910,plain,
( spl0_436
<=> ! [X4,X9,X10,X8,X5,X22] :
( X4 = X22
| ~ hBOOL(c_in(X22,X10,X5))
| ~ hBOOL(c_in(X4,X10,X5))
| ~ c_Fun_Oinj__on(X8,X10,X5,X9)
| hAPP(X8,X4) != hAPP(X8,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f310,axiom,
! [X10,X8,X9,X4,X22,X5] :
( X4 = X22
| ~ hBOOL(c_in(X22,X10,X5))
| ~ hBOOL(c_in(X4,X10,X5))
| ~ c_Fun_Oinj__on(X8,X10,X5,X9)
| hAPP(X8,X4) != hAPP(X8,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
fof(f6908,plain,
spl0_435,
inference(avatar_split_clause,[],[f160,f6906]) ).
fof(f6906,plain,
( spl0_435
<=> ! [X5,X10,X11,X9,X8] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X8,X10,X9,X5),c_Set_Oimage(X8,X11,X9,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X9,tc_bool)),X9,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f160,axiom,
! [X10,X11,X8,X9,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X8,X10,X9,X5),c_Set_Oimage(X8,X11,X9,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X9,tc_bool)),X9,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
fof(f6904,plain,
( spl0_434
| ~ spl0_235
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f6752,f6328,f2029,f6902]) ).
fof(f6902,plain,
( spl0_434
<=> ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool)),v_KAB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f2029,plain,
( spl0_235
<=> ! [X5,X11,X10] : c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f6328,plain,
( spl0_426
<=> ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),v_KAB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f6752,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool)),v_KAB))
| ~ spl0_235
| ~ spl0_426 ),
inference(superposition,[],[f6329,f2030]) ).
fof(f2030,plain,
( ! [X10,X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X5,tc_bool))
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f2029]) ).
fof(f6329,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),v_KAB))
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f6328]) ).
fof(f6871,plain,
spl0_433,
inference(avatar_split_clause,[],[f233,f6869]) ).
fof(f6869,plain,
( spl0_433
<=> ! [X5,X9,X10,X6,X8] :
( hBOOL(c_in(X6,X10,X5))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| ~ hBOOL(c_in(hAPP(X8,X6),c_Set_Oimage(X8,X10,X5,X9),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f233,axiom,
! [X10,X8,X6,X9,X5] :
( hBOOL(c_in(X6,X10,X5))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| ~ hBOOL(c_in(hAPP(X8,X6),c_Set_Oimage(X8,X10,X5,X9),X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
fof(f6867,plain,
spl0_432,
inference(avatar_split_clause,[],[f197,f6865]) ).
fof(f6865,plain,
( spl0_432
<=> ! [X2,X0,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f197,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
fof(f6863,plain,
spl0_431,
inference(avatar_split_clause,[],[f94,f6861]) ).
fof(f6861,plain,
( spl0_431
<=> ! [X5,X10,X11,X9,X8] :
( X10 = X11
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9)
| c_Set_Oimage(X8,X10,X5,X9) != c_Set_Oimage(X8,X11,X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f94,axiom,
! [X10,X11,X8,X9,X5] :
( X10 = X11
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9)
| c_Set_Oimage(X8,X10,X5,X9) != c_Set_Oimage(X8,X11,X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
fof(f6346,plain,
spl0_430,
inference(avatar_split_clause,[],[f651,f6344]) ).
fof(f6344,plain,
( spl0_430
<=> ! [X11,X16,X0,X10] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f651,plain,
! [X10,X0,X11,X16] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f650,f173]) ).
fof(f650,plain,
! [X10,X0,X11,X16] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f132,f47]) ).
fof(f132,axiom,
! [X10,X0,X11,X16] : 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(X16),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Says_0) ).
fof(f6342,plain,
spl0_429,
inference(avatar_split_clause,[],[f508,f6340]) ).
fof(f6340,plain,
( spl0_429
<=> ! [X16,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f508,axiom,
! [X10,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
fof(f6338,plain,
spl0_428,
inference(avatar_split_clause,[],[f507,f6336]) ).
fof(f6336,plain,
( spl0_428
<=> ! [X16,X10] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f507,axiom,
! [X10,X16] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
fof(f6334,plain,
spl0_427,
inference(avatar_split_clause,[],[f453,f6332]) ).
fof(f6332,plain,
( spl0_427
<=> ! [X16,X10] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f453,axiom,
! [X10,X16] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
fof(f6330,plain,
( spl0_426
| ~ spl0_132
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f6202,f5710,f1283,f6328]) ).
fof(f5710,plain,
( spl0_410
<=> ! [X0] : hBOOL(c_in(v_KAB,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f6202,plain,
( ! [X0] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),v_KAB))
| ~ spl0_132
| ~ spl0_410 ),
inference(resolution,[],[f5711,f1284]) ).
fof(f5711,plain,
( ! [X0] : hBOOL(c_in(v_KAB,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),tc_nat))
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f5710]) ).
fof(f6326,plain,
spl0_425,
inference(avatar_split_clause,[],[f452,f6324]) ).
fof(f6324,plain,
( spl0_425
<=> ! [X16,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f452,axiom,
! [X10,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X16,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
fof(f6322,plain,
spl0_424,
inference(avatar_split_clause,[],[f364,f6320]) ).
fof(f6320,plain,
( spl0_424
<=> ! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f364,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X17)),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
fof(f6318,plain,
spl0_423,
inference(avatar_split_clause,[],[f249,f6316]) ).
fof(f6316,plain,
( spl0_423
<=> ! [X18,X10,X11,X5] :
( ~ c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f249,axiom,
! [X10,X11,X18,X5] :
( ~ c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
fof(f6314,plain,
spl0_422,
inference(avatar_split_clause,[],[f240,f6312]) ).
fof(f6312,plain,
( spl0_422
<=> ! [X18,X10,X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f240,axiom,
! [X10,X11,X18,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
fof(f6310,plain,
spl0_421,
inference(avatar_split_clause,[],[f239,f6308]) ).
fof(f6308,plain,
( spl0_421
<=> ! [X18,X10,X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f239,axiom,
! [X10,X11,X18,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X11,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X18,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
fof(f6306,plain,
spl0_420,
inference(avatar_split_clause,[],[f177,f6304]) ).
fof(f6304,plain,
( spl0_420
<=> ! [X2,X7,X23] :
( hBOOL(c_in(X7,c_Message_Oparts(X2),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oparts(X23),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f177,axiom,
! [X2,X7,X23] :
( hBOOL(c_in(X7,c_Message_Oparts(X2),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oparts(X23),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
fof(f6038,plain,
spl0_419,
inference(avatar_split_clause,[],[f649,f6036]) ).
fof(f6036,plain,
( spl0_419
<=> ! [X16,X0,X10] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f649,plain,
! [X10,X0,X16] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f648,f173]) ).
fof(f648,plain,
! [X10,X0,X16] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f131,f47]) ).
fof(f131,axiom,
! [X10,X0,X16] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Notes_0) ).
fof(f6034,plain,
spl0_418,
inference(avatar_split_clause,[],[f632,f6032]) ).
fof(f6032,plain,
( spl0_418
<=> ! [X2,X32,X17] :
( ~ hBOOL(c_in(X17,X32,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X32,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f632,plain,
! [X2,X17,X32] :
( ~ hBOOL(c_in(X17,X32,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X32,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,axiom,
! [X2,X17,X32] :
( ~ hBOOL(c_in(X17,X32,tc_nat))
| ~ hBOOL(c_in(X17,X32,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X32,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
fof(f6030,plain,
spl0_417,
inference(avatar_split_clause,[],[f367,f6028]) ).
fof(f6028,plain,
( spl0_417
<=> ! [X2,X17] :
( hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f367,axiom,
! [X2,X17] :
( hBOOL(c_in(X17,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
fof(f6026,plain,
spl0_416,
inference(avatar_split_clause,[],[f343,f6024]) ).
fof(f6024,plain,
( spl0_416
<=> ! [X2,X0,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f343,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
fof(f6022,plain,
spl0_415,
inference(avatar_split_clause,[],[f314,f6020]) ).
fof(f6020,plain,
( spl0_415
<=> ! [X4,X11,X5,X10] :
( X10 = X11
| hBOOL(c_in(X4,X10,X5))
| hBOOL(c_in(X4,X11,X5))
| c_Set_Oinsert(X4,X10,X5) != c_Set_Oinsert(X4,X11,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f314,axiom,
! [X10,X11,X4,X5] :
( X10 = X11
| hBOOL(c_in(X4,X10,X5))
| hBOOL(c_in(X4,X11,X5))
| c_Set_Oinsert(X4,X10,X5) != c_Set_Oinsert(X4,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
fof(f6018,plain,
spl0_414,
inference(avatar_split_clause,[],[f184,f6016]) ).
fof(f6016,plain,
( spl0_414
<=> ! [X5,X10,X11,X9,X8] :
( X10 = X11
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| c_Set_Oimage(X8,X10,X5,X9) != c_Set_Oimage(X8,X11,X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f184,axiom,
! [X10,X11,X8,X9,X5] :
( X10 = X11
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9)
| c_Set_Oimage(X8,X10,X5,X9) != c_Set_Oimage(X8,X11,X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
fof(f6014,plain,
( spl0_413
| ~ spl0_169
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f5020,f4672,f1533,f6012]) ).
fof(f6012,plain,
( spl0_413
<=> ! [X0] : hBOOL(c_in(v_KAB,c_Lattices_Oupper__semilattice__class_Osup(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool)),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f1533,plain,
( spl0_169
<=> ! [X5,X11,X10] : c_lessequals(X10,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f4672,plain,
( spl0_368
<=> ! [X0] :
( ~ c_lessequals(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool))
| hBOOL(c_in(v_KAB,X0,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f5020,plain,
( ! [X0] : hBOOL(c_in(v_KAB,c_Lattices_Oupper__semilattice__class_Osup(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool)),tc_nat))
| ~ spl0_169
| ~ spl0_368 ),
inference(resolution,[],[f4673,f1534]) ).
fof(f1534,plain,
( ! [X10,X11,X5] : c_lessequals(X10,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f4673,plain,
( ! [X0] :
( ~ c_lessequals(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool))
| hBOOL(c_in(v_KAB,X0,tc_nat)) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f4672]) ).
fof(f6010,plain,
spl0_412,
inference(avatar_split_clause,[],[f171,f6008]) ).
fof(f6008,plain,
( spl0_412
<=> ! [X5,X4,X11,X10,X9,X8] :
( ~ hBOOL(c_in(X4,X10,X9))
| hBOOL(c_in(hAPP(X8,X4),X11,X5))
| ~ c_lessequals(c_Set_Oimage(X8,X10,X9,X5),X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f171,axiom,
! [X10,X11,X8,X9,X4,X5] :
( ~ hBOOL(c_in(X4,X10,X9))
| hBOOL(c_in(hAPP(X8,X4),X11,X5))
| ~ c_lessequals(c_Set_Oimage(X8,X10,X9,X5),X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
fof(f6006,plain,
spl0_411,
inference(avatar_split_clause,[],[f95,f6004]) ).
fof(f6004,plain,
( spl0_411
<=> ! [X2,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X23),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f95,axiom,
! [X2,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X23),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
fof(f5712,plain,
( spl0_410
| ~ spl0_168
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f5019,f4672,f1529,f5710]) ).
fof(f1529,plain,
( spl0_168
<=> ! [X5,X11,X10] : c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f5019,plain,
( ! [X0] : hBOOL(c_in(v_KAB,c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_OsymKeys,tc_fun(tc_nat,tc_bool)),tc_nat))
| ~ spl0_168
| ~ spl0_368 ),
inference(resolution,[],[f4673,f1530]) ).
fof(f1530,plain,
( ! [X10,X11,X5] : c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f5544,plain,
spl0_409,
inference(avatar_split_clause,[],[f661,f5542]) ).
fof(f5542,plain,
( spl0_409
<=> ! [X2,X0,X23] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,X23,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f661,plain,
! [X2,X0,X23] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,X23,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f156,f85]) ).
fof(f156,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,X23,tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
fof(f5540,plain,
spl0_408,
inference(avatar_split_clause,[],[f485,f5538]) ).
fof(f5538,plain,
( spl0_408
<=> ! [X16,X0,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f485,axiom,
! [X10,X0,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
fof(f5536,plain,
spl0_407,
inference(avatar_split_clause,[],[f439,f5534]) ).
fof(f5534,plain,
( spl0_407
<=> ! [X10,X0,X16,X7] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f439,axiom,
! [X10,X0,X7,X16] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
fof(f5532,plain,
spl0_406,
inference(avatar_split_clause,[],[f377,f5530]) ).
fof(f5530,plain,
( spl0_406
<=> ! [X41,X0,X11] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X41))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X41))),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X11,X0),X41,tc_Event_Oevent))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f377,axiom,
! [X41,X0,X11] :
( ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(X41))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X41))),tc_Message_Omsg))
| hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X11,X0),X41,tc_Event_Oevent))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
fof(f5526,plain,
spl0_405,
inference(avatar_split_clause,[],[f342,f5524]) ).
fof(f5524,plain,
( spl0_405
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f342,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
fof(f5522,plain,
spl0_404,
inference(avatar_split_clause,[],[f322,f5520]) ).
fof(f5520,plain,
( spl0_404
<=> ! [X2,X0,X17] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f322,axiom,
! [X2,X0,X17] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
fof(f5518,plain,
spl0_403,
inference(avatar_split_clause,[],[f193,f5516]) ).
fof(f5516,plain,
( spl0_403
<=> ! [X2,X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f193,axiom,
! [X2,X0,X1] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
fof(f5514,plain,
spl0_402,
inference(avatar_split_clause,[],[f188,f5512]) ).
fof(f5512,plain,
( spl0_402
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f188,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).
fof(f5510,plain,
spl0_401,
inference(avatar_split_clause,[],[f182,f5508]) ).
fof(f5508,plain,
( spl0_401
<=> ! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f182,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
fof(f5506,plain,
spl0_400,
inference(avatar_split_clause,[],[f181,f5504]) ).
fof(f5504,plain,
( spl0_400
<=> ! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f181,axiom,
! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
fof(f5502,plain,
spl0_399,
inference(avatar_split_clause,[],[f175,f5500]) ).
fof(f5500,plain,
( spl0_399
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f175,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
fof(f5498,plain,
spl0_398,
inference(avatar_split_clause,[],[f174,f5496]) ).
fof(f5496,plain,
( spl0_398
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f174,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
fof(f5494,plain,
spl0_397,
inference(avatar_split_clause,[],[f170,f5492]) ).
fof(f5492,plain,
( spl0_397
<=> ! [X4,X9,X10,X5,X8] :
( ~ hBOOL(c_in(X4,X10,X5))
| c_Set_Oimage(X8,X10,X5,X9) = c_Set_Oinsert(hAPP(X8,X4),c_Set_Oimage(X8,X10,X5,X9),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f170,axiom,
! [X10,X8,X9,X4,X5] :
( ~ hBOOL(c_in(X4,X10,X5))
| c_Set_Oimage(X8,X10,X5,X9) = c_Set_Oinsert(hAPP(X8,X4),c_Set_Oimage(X8,X10,X5,X9),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
fof(f5490,plain,
spl0_396,
inference(avatar_split_clause,[],[f111,f5488]) ).
fof(f5488,plain,
( spl0_396
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f111,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__cut_0) ).
fof(f5486,plain,
( spl0_395
| ~ spl0_132
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f5262,f5143,f1283,f5484]) ).
fof(f5484,plain,
( spl0_395
<=> ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_OsymKeys,tc_nat),v_KAB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f5143,plain,
( spl0_388
<=> ! [X0] : hBOOL(c_in(v_KAB,c_Set_Oinsert(X0,c_Message_OsymKeys,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f5262,plain,
( ! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_OsymKeys,tc_nat),v_KAB))
| ~ spl0_132
| ~ spl0_388 ),
inference(resolution,[],[f5144,f1284]) ).
fof(f5144,plain,
( ! [X0] : hBOOL(c_in(v_KAB,c_Set_Oinsert(X0,c_Message_OsymKeys,tc_nat),tc_nat))
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f5143]) ).
fof(f5169,plain,
spl0_394,
inference(avatar_split_clause,[],[f663,f5167]) ).
fof(f5167,plain,
( spl0_394
<=> ! [X16,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(X16),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f663,plain,
! [X0,X16] :
( 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(X16),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f662,f173]) ).
fof(f662,plain,
! [X0,X16] :
( 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(X16),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f57,f47]) ).
fof(f57,axiom,
! [X0,X16] :
( ~ hBOOL(c_in(X0,c_Event_Oused(X16),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(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
fof(f5165,plain,
spl0_393,
inference(avatar_split_clause,[],[f647,f5163]) ).
fof(f5163,plain,
( spl0_393
<=> ! [X2,X0] : c_Message_Oparts(c_Set_Oinsert(X0,X2,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(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f647,plain,
! [X2,X0] : c_Message_Oparts(c_Set_Oinsert(X0,X2,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(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f646,f173]) ).
fof(f646,plain,
! [X2,X0] : c_Message_Oparts(c_Set_Oinsert(X0,X2,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(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_demodulation,[],[f2,f47]) ).
fof(f2,axiom,
! [X2,X0] : c_Message_Oparts(c_Set_Oinsert(X0,X2,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(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert_0) ).
fof(f5161,plain,
spl0_392,
inference(avatar_split_clause,[],[f399,f5159]) ).
fof(f5159,plain,
( spl0_392
<=> ! [X4,X14,X5,X22] :
( X4 = X22
| hBOOL(c_in(X22,c_List_Oset(X14,X5),X5))
| ~ hBOOL(c_in(X22,c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f399,axiom,
! [X14,X4,X22,X5] :
( X4 = X22
| hBOOL(c_in(X22,c_List_Oset(X14,X5),X5))
| ~ hBOOL(c_in(X22,c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
fof(f5157,plain,
spl0_391,
inference(avatar_split_clause,[],[f390,f5155]) ).
fof(f5155,plain,
( spl0_391
<=> ! [X16,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f390,axiom,
! [X16,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X17,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
fof(f5153,plain,
spl0_390,
inference(avatar_split_clause,[],[f376,f5151]) ).
fof(f5151,plain,
( spl0_390
<=> ! [X16,X0,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f376,axiom,
! [X10,X0,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
fof(f5149,plain,
spl0_389,
inference(avatar_split_clause,[],[f339,f5147]) ).
fof(f5147,plain,
( spl0_389
<=> ! [X4,X14,X5,X10] :
( hBOOL(c_in(X4,X10,X5))
| ~ hBOOL(c_in(X4,c_List_Oset(X14,X5),X5))
| ~ hBOOL(c_in(X14,c_List_Olists(X10,X5),tc_List_Olist(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f339,axiom,
! [X10,X14,X4,X5] :
( hBOOL(c_in(X4,X10,X5))
| ~ hBOOL(c_in(X4,c_List_Oset(X14,X5),X5))
| ~ hBOOL(c_in(X14,c_List_Olists(X10,X5),tc_List_Olist(X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__lists__conv__set_0) ).
fof(f5145,plain,
( spl0_388
| ~ spl0_117
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f5017,f4672,f1223,f5143]) ).
fof(f5017,plain,
( ! [X0] : hBOOL(c_in(v_KAB,c_Set_Oinsert(X0,c_Message_OsymKeys,tc_nat),tc_nat))
| ~ spl0_117
| ~ spl0_368 ),
inference(resolution,[],[f4673,f1224]) ).
fof(f5141,plain,
spl0_387,
inference(avatar_split_clause,[],[f318,f5139]) ).
fof(f5139,plain,
( spl0_387
<=> ! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X2,X23,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X23) = c_Message_Oanalz(c_Set_Oinsert(X0,X23,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f318,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X2,X23,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X23) = c_Message_Oanalz(c_Set_Oinsert(X0,X23,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
fof(f5137,plain,
spl0_386,
inference(avatar_split_clause,[],[f304,f5135]) ).
fof(f5135,plain,
( spl0_386
<=> ! [X10,X11,X5,X7] :
( hBOOL(c_in(X7,X11,X5))
| hBOOL(c_in(X7,X10,X5))
| ~ hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f304,axiom,
! [X10,X11,X7,X5] :
( hBOOL(c_in(X7,X11,X5))
| hBOOL(c_in(X7,X10,X5))
| ~ hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f5133,plain,
spl0_385,
inference(avatar_split_clause,[],[f264,f5131]) ).
fof(f5131,plain,
( spl0_385
<=> ! [X4,X11,X5,X10] :
( hBOOL(c_in(X4,X10,X5))
| c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X10,c_Set_Oinsert(X4,X11,X5),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f264,axiom,
! [X10,X11,X4,X5] :
( hBOOL(c_in(X4,X10,X5))
| c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X10,c_Set_Oinsert(X4,X11,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
fof(f5129,plain,
spl0_384,
inference(avatar_split_clause,[],[f176,f5127]) ).
fof(f5127,plain,
( spl0_384
<=> ! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f176,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
fof(f5125,plain,
spl0_383,
inference(avatar_split_clause,[],[f158,f5123]) ).
fof(f5123,plain,
( spl0_383
<=> ! [X5,X4,X10,X9,X8] :
( ~ c_lessequals(X4,X10,tc_fun(X9,tc_bool))
| c_lessequals(c_Set_Oimage(X8,X4,X9,X5),c_Set_Oimage(X8,X10,X9,X5),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f158,axiom,
! [X10,X8,X9,X4,X5] :
( ~ c_lessequals(X4,X10,tc_fun(X9,tc_bool))
| c_lessequals(c_Set_Oimage(X8,X4,X9,X5),c_Set_Oimage(X8,X10,X9,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
fof(f5121,plain,
spl0_382,
inference(avatar_split_clause,[],[f107,f5119]) ).
fof(f5119,plain,
( spl0_382
<=> ! [X5,X11,X10] :
( c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f107,axiom,
! [X10,X11,X5] :
( c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
fof(f5117,plain,
spl0_381,
inference(avatar_split_clause,[],[f106,f5115]) ).
fof(f5115,plain,
( spl0_381
<=> ! [X5,X11,X10] :
( ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f106,axiom,
! [X10,X11,X5] :
( ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
fof(f5113,plain,
spl0_380,
inference(avatar_split_clause,[],[f60,f5111]) ).
fof(f5111,plain,
( spl0_380
<=> ! [X4,X11,X5,X10] :
( ~ hBOOL(c_in(X4,X11,X5))
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f60,axiom,
! [X10,X11,X4,X5] :
( ~ hBOOL(c_in(X4,X11,X5))
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f4726,plain,
spl0_379,
inference(avatar_split_clause,[],[f643,f4724]) ).
fof(f4724,plain,
( spl0_379
<=> ! [X5,X18,X11,X6] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,X11,X5),X18,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_Set_Oinsert(X6,X18,X5),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f643,plain,
! [X11,X18,X6,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,X11,X5),X18,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_Set_Oinsert(X6,X18,X5),tc_fun(X5,tc_bool)),
inference(forward_demodulation,[],[f113,f112]) ).
fof(f112,axiom,
! [X10,X11,X6,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Set_Oinsert(X6,X11,X5),tc_fun(X5,tc_bool)) = c_Set_Oinsert(X6,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f113,axiom,
! [X11,X18,X6,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,X11,X5),X18,tc_fun(X5,tc_bool)) = c_Set_Oinsert(X6,c_Lattices_Oupper__semilattice__class_Osup(X11,X18,tc_fun(X5,tc_bool)),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f4722,plain,
spl0_378,
inference(avatar_split_clause,[],[f441,f4720]) ).
fof(f4720,plain,
( spl0_378
<=> ! [X16,X0,X10] :
( c_Message_Oagent_OSpy = X10
| hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OGets(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f441,axiom,
! [X10,X0,X16] :
( c_Message_Oagent_OSpy = X10
| hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OGets(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
fof(f4718,plain,
( spl0_377
| ~ spl0_221
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2929,f2456,f1966,f4716]) ).
fof(f2456,plain,
( spl0_260
<=> ! [X4,X11,X5,X10] :
( hBOOL(c_in(X4,X11,X5))
| ~ c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f2929,plain,
( ! [X0] :
( ~ c_lessequals(c_Event_Obad,X0,tc_fun(tc_Message_Oagent,tc_bool))
| hBOOL(c_in(v_Aa,X0,tc_Message_Oagent)) )
| ~ spl0_221
| ~ spl0_260 ),
inference(superposition,[],[f2457,f1968]) ).
fof(f2457,plain,
( ! [X10,X11,X4,X5] :
( ~ c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool))
| hBOOL(c_in(X4,X11,X5)) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f4714,plain,
spl0_376,
inference(avatar_split_clause,[],[f280,f4712]) ).
fof(f4712,plain,
( spl0_376
<=> ! [X5,X6,X11,X9,X8] : c_Set_Oimage(X8,c_Set_Oinsert(X6,X11,X9),X9,X5) = c_Set_Oinsert(hAPP(X8,X6),c_Set_Oimage(X8,X11,X9,X5),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f280,axiom,
! [X11,X8,X6,X9,X5] : c_Set_Oimage(X8,c_Set_Oinsert(X6,X11,X9),X9,X5) = c_Set_Oinsert(hAPP(X8,X6),c_Set_Oimage(X8,X11,X9,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
fof(f4710,plain,
spl0_375,
inference(avatar_split_clause,[],[f191,f4708]) ).
fof(f4708,plain,
( spl0_375
<=> ! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f191,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__trans_0) ).
fof(f4706,plain,
spl0_374,
inference(avatar_split_clause,[],[f178,f4704]) ).
fof(f4704,plain,
( spl0_374
<=> ! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f178,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).
fof(f4702,plain,
spl0_373,
inference(avatar_split_clause,[],[f134,f4700]) ).
fof(f4700,plain,
( spl0_373
<=> ! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f134,axiom,
! [X2,X0,X23] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(X23),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).
fof(f4698,plain,
spl0_372,
inference(avatar_split_clause,[],[f128,f4696]) ).
fof(f4696,plain,
( spl0_372
<=> ! [X2,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f128,axiom,
! [X2,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__Un_0) ).
fof(f4694,plain,
spl0_371,
inference(avatar_split_clause,[],[f125,f4692]) ).
fof(f4692,plain,
( spl0_371
<=> ! [X9,X8,X26] :
( ~ class_Lattices_Olattice(X9)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8,X26,tc_fun(t_a,X9)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,v_x),hAPP(X26,v_x),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f125,axiom,
! [X8,X9,X26] :
( ~ class_Lattices_Olattice(X9)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8,X26,tc_fun(t_a,X9)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,v_x),hAPP(X26,v_x),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
fof(f4690,plain,
spl0_370,
inference(avatar_split_clause,[],[f112,f4688]) ).
fof(f4688,plain,
( spl0_370
<=> ! [X5,X10,X11,X6] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Set_Oinsert(X6,X11,X5),tc_fun(X5,tc_bool)) = c_Set_Oinsert(X6,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f4686,plain,
spl0_369,
inference(avatar_split_clause,[],[f84,f4684]) ).
fof(f4684,plain,
( spl0_369
<=> ! [X2,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f84,axiom,
! [X2,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__Un_0) ).
fof(f4674,plain,
( spl0_368
| ~ spl0_212
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2928,f2456,f1927,f4672]) ).
fof(f1927,plain,
( spl0_212
<=> c_Message_OsymKeys = c_Set_Oinsert(v_KAB,c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2928,plain,
( ! [X0] :
( ~ c_lessequals(c_Message_OsymKeys,X0,tc_fun(tc_nat,tc_bool))
| hBOOL(c_in(v_KAB,X0,tc_nat)) )
| ~ spl0_212
| ~ spl0_260 ),
inference(superposition,[],[f2457,f1929]) ).
fof(f1929,plain,
( c_Message_OsymKeys = c_Set_Oinsert(v_KAB,c_Message_OsymKeys,tc_nat)
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f4432,plain,
spl0_367,
inference(avatar_split_clause,[],[f491,f4430]) ).
fof(f4430,plain,
( spl0_367
<=> ! [X11,X16,X0,X10] :
( hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f491,axiom,
! [X10,X0,X11,X16] :
( hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
fof(f4428,plain,
spl0_366,
inference(avatar_split_clause,[],[f445,f4426]) ).
fof(f4426,plain,
( spl0_366
<=> ! [X11,X16,X0,X10] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f445,axiom,
! [X10,X0,X11,X16] :
( hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f4424,plain,
spl0_365,
inference(avatar_split_clause,[],[f434,f4422]) ).
fof(f4422,plain,
( spl0_365
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X17,c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f434,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X17,c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f4420,plain,
spl0_364,
inference(avatar_split_clause,[],[f402,f4418]) ).
fof(f4418,plain,
( spl0_364
<=> ! [X13,X4,X40,X7] :
( hBOOL(c_in(X4,X40,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f402,axiom,
! [X40,X7,X4,X13] :
( hBOOL(c_in(X4,X40,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
fof(f4416,plain,
spl0_363,
inference(avatar_split_clause,[],[f378,f4414]) ).
fof(f4414,plain,
( spl0_363
<=> ! [X13,X16,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f378,axiom,
! [X10,X16,X13] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
fof(f4412,plain,
spl0_362,
inference(avatar_split_clause,[],[f375,f4410]) ).
fof(f4410,plain,
( spl0_362
<=> ! [X16,X0,X10] :
( c_Message_Oagent_OSpy = X10
| c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f375,axiom,
! [X10,X0,X16] :
( c_Message_Oagent_OSpy = X10
| c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
fof(f4408,plain,
spl0_361,
inference(avatar_split_clause,[],[f274,f4406]) ).
fof(f4406,plain,
( spl0_361
<=> ! [X5,X11,X10] : c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f274,axiom,
! [X10,X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
fof(f4404,plain,
spl0_360,
inference(avatar_split_clause,[],[f194,f4402]) ).
fof(f4402,plain,
( spl0_360
<=> ! [X2,X0,X17] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f194,axiom,
! [X2,X0,X17] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
fof(f4400,plain,
spl0_359,
inference(avatar_split_clause,[],[f159,f4398]) ).
fof(f4398,plain,
( spl0_359
<=> ! [X5,X18,X6,X19] :
( ~ c_lessequals(X18,X19,tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Oinsert(X6,X18,X5),c_Set_Oinsert(X6,X19,X5),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f159,axiom,
! [X18,X19,X6,X5] :
( ~ c_lessequals(X18,X19,tc_fun(X5,tc_bool))
| c_lessequals(c_Set_Oinsert(X6,X18,X5),c_Set_Oinsert(X6,X19,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f4396,plain,
spl0_358,
inference(avatar_split_clause,[],[f149,f4394]) ).
fof(f4394,plain,
( spl0_358
<=> ! [X18,X10,X11,X5] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| c_lessequals(X10,X18,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f149,axiom,
! [X10,X11,X18,X5] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| c_lessequals(X10,X18,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
fof(f4392,plain,
spl0_357,
inference(avatar_split_clause,[],[f91,f4390]) ).
fof(f4390,plain,
( spl0_357
<=> ! [X5,X4,X8,X9,X22] :
( X4 = X22
| hAPP(X8,X4) != hAPP(X8,X22)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f91,axiom,
! [X8,X9,X4,X22,X5] :
( X4 = X22
| hAPP(X8,X4) != hAPP(X8,X22)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_injD_0) ).
fof(f4388,plain,
spl0_356,
inference(avatar_split_clause,[],[f17,f4386]) ).
fof(f4386,plain,
( spl0_356
<=> ! [X13,X5,X6] :
( X6 = X13
| c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) != c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f17,axiom,
! [X6,X5,X13] :
( X6 = X13
| c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) != c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
fof(f4310,plain,
( ~ spl0_355
| ~ spl0_131
| spl0_337 ),
inference(avatar_split_clause,[],[f4117,f4029,f1279,f4307]) ).
fof(f4307,plain,
( spl0_355
<=> hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),hAPP(c_Message_Omsg_OKey,v_KAB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f1279,plain,
( spl0_131
<=> ! [X54,X4,X5] :
( ~ hBOOL(hAPP(X54,X4))
| hBOOL(c_in(X4,X54,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f4029,plain,
( spl0_337
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f4117,plain,
( ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),hAPP(c_Message_Omsg_OKey,v_KAB)))
| ~ spl0_131
| spl0_337 ),
inference(resolution,[],[f4031,f1280]) ).
fof(f1280,plain,
( ! [X54,X4,X5] :
( hBOOL(c_in(X4,X54,X5))
| ~ hBOOL(hAPP(X54,X4)) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f4031,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg))
| spl0_337 ),
inference(avatar_component_clause,[],[f4029]) ).
fof(f4125,plain,
spl0_354,
inference(avatar_split_clause,[],[f478,f4123]) ).
fof(f4123,plain,
( spl0_354
<=> ! [X11,X16,X0,X10] :
( hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f478,axiom,
! [X10,X0,X11,X16] :
( hBOOL(c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
fof(f4121,plain,
spl0_353,
inference(avatar_split_clause,[],[f464,f4119]) ).
fof(f4119,plain,
( spl0_353
<=> ! [X10,X11,X0,X16] :
( hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f464,axiom,
! [X10,X0,X11,X16] :
( hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
fof(f4116,plain,
spl0_352,
inference(avatar_split_clause,[],[f442,f4114]) ).
fof(f4114,plain,
( spl0_352
<=> ! [X16,X0,X10] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X16) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f442,axiom,
! [X10,X0,X16] :
( hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X16) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
fof(f4112,plain,
spl0_351,
inference(avatar_split_clause,[],[f319,f4110]) ).
fof(f4110,plain,
( spl0_351
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| c_Message_Osynth(c_Message_Oanalz(X2)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f319,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| c_Message_Osynth(c_Message_Oanalz(X2)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
fof(f4108,plain,
spl0_350,
inference(avatar_split_clause,[],[f254,f4106]) ).
fof(f4106,plain,
( spl0_350
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X27,X5)
| ~ c_lessequals(X22,X27,X5)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f254,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X27,X5)
| ~ c_lessequals(X22,X27,X5)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
fof(f4104,plain,
spl0_349,
inference(avatar_split_clause,[],[f245,f4102]) ).
fof(f4102,plain,
( spl0_349
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f245,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
fof(f4100,plain,
spl0_348,
inference(avatar_split_clause,[],[f244,f4098]) ).
fof(f4098,plain,
( spl0_348
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X27,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f244,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X27,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
fof(f4096,plain,
spl0_347,
inference(avatar_split_clause,[],[f242,f4094]) ).
fof(f4094,plain,
( spl0_347
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X27,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f242,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X27,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
fof(f4092,plain,
spl0_346,
inference(avatar_split_clause,[],[f241,f4090]) ).
fof(f4090,plain,
( spl0_346
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f241,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X22,X27,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
fof(f4088,plain,
spl0_345,
inference(avatar_split_clause,[],[f186,f4086]) ).
fof(f4086,plain,
( spl0_345
<=> ! [X23,X7,X10] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X10,X23,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f186,axiom,
! [X10,X7,X23] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X10,X23,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
fof(f4084,plain,
spl0_344,
inference(avatar_split_clause,[],[f144,f4082]) ).
fof(f4082,plain,
( spl0_344
<=> ! [X18,X5,X11,X10] :
( c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f144,axiom,
! [X10,X11,X18,X5] :
( c_lessequals(X11,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
fof(f4080,plain,
spl0_343,
inference(avatar_split_clause,[],[f143,f4078]) ).
fof(f4078,plain,
( spl0_343
<=> ! [X18,X10,X11,X5] :
( c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f143,axiom,
! [X10,X11,X18,X5] :
( c_lessequals(X10,X18,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X18,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
fof(f4076,plain,
( ~ spl0_342
| ~ spl0_131
| spl0_287 ),
inference(avatar_split_clause,[],[f3059,f3054,f1279,f4073]) ).
fof(f3059,plain,
( ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),hAPP(c_Message_Omsg_OKey,v_KAB)))
| ~ spl0_131
| spl0_287 ),
inference(resolution,[],[f3056,f1280]) ).
fof(f3056,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| spl0_287 ),
inference(avatar_component_clause,[],[f3054]) ).
fof(f4071,plain,
spl0_341,
inference(avatar_split_clause,[],[f90,f4069]) ).
fof(f4069,plain,
( spl0_341
<=> ! [X4,X11,X5,X10] :
( hBOOL(hAPP(X11,X4))
| hBOOL(hAPP(X10,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f90,axiom,
! [X10,X11,X4,X5] :
( hBOOL(hAPP(X11,X4))
| hBOOL(hAPP(X10,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
fof(f4067,plain,
spl0_340,
inference(avatar_split_clause,[],[f14,f4065]) ).
fof(f4065,plain,
( spl0_340
<=> ! [X5,X11,X10] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X11
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f14,axiom,
! [X10,X11,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X11
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
fof(f4063,plain,
spl0_339,
inference(avatar_split_clause,[],[f13,f4061]) ).
fof(f4061,plain,
( spl0_339
<=> ! [X5,X11,X10] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f13,axiom,
! [X10,X11,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
fof(f4059,plain,
spl0_338,
inference(avatar_split_clause,[],[f10,f4057]) ).
fof(f4057,plain,
( spl0_338
<=> ! [X6,X5,X10] : c_Set_Oinsert(X6,X10,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X10,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f4032,plain,
( ~ spl0_337
| ~ spl0_183
| spl0_287 ),
inference(avatar_split_clause,[],[f3058,f3054,f1590,f4029]) ).
fof(f1590,plain,
( spl0_183
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f3058,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg))
| ~ spl0_183
| spl0_287 ),
inference(resolution,[],[f3056,f1591]) ).
fof(f1591,plain,
( ! [X2,X0] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,X2,tc_Message_Omsg)) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f3729,plain,
spl0_336,
inference(avatar_split_clause,[],[f517,f3727]) ).
fof(f3727,plain,
( spl0_336
<=> ! [X16,X0,X10] :
( hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f517,axiom,
! [X10,X0,X16] :
( hBOOL(c_in(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
fof(f3725,plain,
spl0_335,
inference(avatar_split_clause,[],[f499,f3723]) ).
fof(f3723,plain,
( spl0_335
<=> ! [X11,X16,X0,X10] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f499,axiom,
! [X10,X0,X11,X16] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X10,X11,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
fof(f3721,plain,
spl0_334,
inference(avatar_split_clause,[],[f498,f3719]) ).
fof(f3719,plain,
( spl0_334
<=> ! [X16,X10] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f498,axiom,
! [X10,X16] :
( ~ hBOOL(c_in(X10,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
fof(f3717,plain,
spl0_333,
inference(avatar_split_clause,[],[f425,f3715]) ).
fof(f3715,plain,
( spl0_333
<=> ! [X4,X40,X13,X7] :
( X7 = X13
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f425,axiom,
! [X40,X7,X4,X13] :
( X7 = X13
| ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
fof(f3713,plain,
spl0_332,
inference(avatar_split_clause,[],[f416,f3711]) ).
fof(f3711,plain,
( spl0_332
<=> ! [X5,X4,X10,X9,X8] :
( ~ hBOOL(c_in(X4,X10,X9))
| hBOOL(c_in(hAPP(X8,X4),c_Set_Oimage(X8,X10,X9,X5),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f416,axiom,
! [X10,X8,X9,X4,X5] :
( ~ hBOOL(c_in(X4,X10,X9))
| hBOOL(c_in(hAPP(X8,X4),c_Set_Oimage(X8,X10,X9,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
fof(f3709,plain,
( spl0_331
| ~ spl0_36
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3611,f3179,f857,f3707]) ).
fof(f3707,plain,
( spl0_331
<=> ! [X0] :
( v_KAB != X0
| v_KAB = c_Message_OinvKey(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f857,plain,
( spl0_36
<=> ! [X17] : c_Message_OinvKey(c_Message_OinvKey(X17)) = X17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f3179,plain,
( spl0_313
<=> ! [X0] :
( v_KAB != c_Message_OinvKey(X0)
| v_KAB = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3611,plain,
( ! [X0] :
( v_KAB != X0
| v_KAB = c_Message_OinvKey(X0) )
| ~ spl0_36
| ~ spl0_313 ),
inference(superposition,[],[f3180,f858]) ).
fof(f858,plain,
( ! [X17] : c_Message_OinvKey(c_Message_OinvKey(X17)) = X17
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f3180,plain,
( ! [X0] :
( v_KAB != c_Message_OinvKey(X0)
| v_KAB = X0 )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3705,plain,
spl0_330,
inference(avatar_split_clause,[],[f386,f3703]) ).
fof(f3703,plain,
( spl0_330
<=> ! [X4,X40] :
( hBOOL(c_in(X4,X40,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OshrK,X4),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f386,axiom,
! [X40,X4] :
( hBOOL(c_in(X4,X40,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Public_OshrK,X4),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
fof(f3701,plain,
spl0_329,
inference(avatar_split_clause,[],[f370,f3699]) ).
fof(f3699,plain,
( spl0_329
<=> ! [X10,X11,X0,X16] : c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f370,axiom,
! [X10,X0,X11,X16] : c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f3697,plain,
spl0_328,
inference(avatar_split_clause,[],[f358,f3695]) ).
fof(f3695,plain,
( spl0_328
<=> ! [X10,X11,X0,X16] : c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f358,axiom,
! [X10,X0,X11,X16] : c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_OSays(X10,X11,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
fof(f3693,plain,
spl0_327,
inference(avatar_split_clause,[],[f348,f3691]) ).
fof(f3691,plain,
( spl0_327
<=> ! [X4,X10] :
( hBOOL(c_in(X4,X10,tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X4),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f348,axiom,
! [X10,X4] :
( hBOOL(c_in(X4,X10,tc_nat))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X4),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
fof(f3689,plain,
spl0_326,
inference(avatar_split_clause,[],[f337,f3687]) ).
fof(f3687,plain,
( spl0_326
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f337,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
fof(f3685,plain,
spl0_325,
inference(avatar_split_clause,[],[f336,f3683]) ).
fof(f3683,plain,
( spl0_325
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f336,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
fof(f3681,plain,
spl0_324,
inference(avatar_split_clause,[],[f328,f3679]) ).
fof(f3679,plain,
( spl0_324
<=> ! [X2,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),X2,tc_fun(tc_Message_Omsg,tc_bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f328,axiom,
! [X2,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),X2,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
fof(f3677,plain,
spl0_323,
inference(avatar_split_clause,[],[f323,f3675]) ).
fof(f3675,plain,
( spl0_323
<=> ! [X2,X0,X30] :
( c_Message_Oanalz(X2) != c_Message_Oanalz(X30)
| c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X0,X30,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f323,axiom,
! [X2,X0,X30] :
( c_Message_Oanalz(X2) != c_Message_Oanalz(X30)
| c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X0,X30,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
fof(f3673,plain,
spl0_322,
inference(avatar_split_clause,[],[f303,f3671]) ).
fof(f3671,plain,
( spl0_322
<=> ! [X6,X10,X13,X5] :
( X6 = X13
| hBOOL(c_in(X6,X10,X5))
| ~ hBOOL(c_in(X6,c_Set_Oinsert(X13,X10,X5),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f303,axiom,
! [X10,X6,X5,X13] :
( X6 = X13
| hBOOL(c_in(X6,X10,X5))
| ~ hBOOL(c_in(X6,c_Set_Oinsert(X13,X10,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
fof(f3669,plain,
spl0_321,
inference(avatar_split_clause,[],[f299,f3667]) ).
fof(f3667,plain,
( spl0_321
<=> ! [X10,X11,X5,X7] :
( ~ hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,X11,X5))
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f299,axiom,
! [X10,X11,X7,X5] :
( ~ hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,X11,X5))
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
fof(f3665,plain,
spl0_320,
inference(avatar_split_clause,[],[f290,f3663]) ).
fof(f3663,plain,
( spl0_320
<=> ! [X5,X4,X9,X8,X26] :
( ~ class_HOL_Oord(X9)
| ~ c_lessequals(X8,X26,tc_fun(X5,X9))
| c_lessequals(hAPP(X8,X4),hAPP(X26,X4),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f290,axiom,
! [X8,X9,X26,X4,X5] :
( ~ class_HOL_Oord(X9)
| ~ c_lessequals(X8,X26,tc_fun(X5,X9))
| c_lessequals(hAPP(X8,X4),hAPP(X26,X4),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
fof(f3661,plain,
spl0_319,
inference(avatar_split_clause,[],[f279,f3659]) ).
fof(f3659,plain,
( spl0_319
<=> ! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X23)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f279,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X23)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
fof(f3657,plain,
spl0_318,
inference(avatar_split_clause,[],[f150,f3655]) ).
fof(f3655,plain,
( spl0_318
<=> ! [X5,X10,X11,X9,X8] :
( ~ c_Fun_Oinj__on(X8,X11,X5,X9)
| c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f150,axiom,
! [X10,X11,X8,X9,X5] :
( ~ c_Fun_Oinj__on(X8,X11,X5,X9)
| c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
fof(f3653,plain,
spl0_317,
inference(avatar_split_clause,[],[f85,f3651]) ).
fof(f3651,plain,
( spl0_317
<=> ! [X2,X23] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f3649,plain,
spl0_316,
inference(avatar_split_clause,[],[f50,f3647]) ).
fof(f3647,plain,
( spl0_316
<=> ! [X5,X10] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f50,axiom,
! [X10,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
fof(f3645,plain,
spl0_315,
inference(avatar_split_clause,[],[f24,f3643]) ).
fof(f3643,plain,
( spl0_315
<=> ! [X5,X10,X9,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) = X10
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Set_Oimage(X8,X10,X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f24,axiom,
! [X10,X8,X9,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) = X10
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Set_Oimage(X8,X10,X9,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
fof(f3444,plain,
( ~ spl0_314
| ~ spl0_107
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f3126,f3037,f1181,f3441]) ).
fof(f3441,plain,
( spl0_314
<=> 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_314])]) ).
fof(f1181,plain,
( spl0_107
<=> ! [X6,X5,X10] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Set_Oinsert(X6,X10,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f3037,plain,
( spl0_284
<=> c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f3126,plain,
( c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool))
| ~ spl0_107
| ~ spl0_284 ),
inference(superposition,[],[f1182,f3039]) ).
fof(f3039,plain,
( c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f1182,plain,
( ! [X10,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Set_Oinsert(X6,X10,X5)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f3181,plain,
( spl0_313
| ~ spl0_85
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1388,f1325,f1070,f3179]) ).
fof(f1070,plain,
( spl0_85
<=> ! [X17,X24] :
( X17 = X24
| c_Message_OinvKey(X17) != c_Message_OinvKey(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1325,plain,
( spl0_135
<=> v_KAB = c_Message_OinvKey(v_KAB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1388,plain,
( ! [X0] :
( v_KAB != c_Message_OinvKey(X0)
| v_KAB = X0 )
| ~ spl0_85
| ~ spl0_135 ),
inference(superposition,[],[f1071,f1327]) ).
fof(f1327,plain,
( v_KAB = c_Message_OinvKey(v_KAB)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1071,plain,
( ! [X17,X24] :
( c_Message_OinvKey(X17) != c_Message_OinvKey(X24)
| X17 = X24 )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f3169,plain,
spl0_312,
inference(avatar_split_clause,[],[f627,f3167]) ).
fof(f3167,plain,
( spl0_312
<=> ! [X11,X16,X0] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f627,plain,
! [X0,X11,X16] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
inference(definition_unfolding,[],[f353,f136]) ).
fof(f353,axiom,
! [X0,X11,X16] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Event_OinitState(X11)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
fof(f3165,plain,
spl0_311,
inference(avatar_split_clause,[],[f480,f3163]) ).
fof(f3163,plain,
( spl0_311
<=> ! [X16,X0,X10] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f480,axiom,
! [X10,X0,X16] :
( hBOOL(c_in(X0,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(X10,X0),c_List_Oset(X16,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
fof(f3161,plain,
spl0_310,
inference(avatar_split_clause,[],[f360,f3159]) ).
fof(f3159,plain,
( spl0_310
<=> ! [X16,X0,X10] : c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f360,axiom,
! [X10,X0,X16] : c_Set_Oinsert(X0,c_Event_Oknows(X10,X16),tc_Message_Omsg) = c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_ONotes(X10,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
fof(f3157,plain,
spl0_309,
inference(avatar_split_clause,[],[f326,f3155]) ).
fof(f3155,plain,
( spl0_309
<=> ! [X2,X23] :
( c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f326,axiom,
! [X2,X23] :
( c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
fof(f3153,plain,
spl0_308,
inference(avatar_split_clause,[],[f325,f3151]) ).
fof(f3151,plain,
( spl0_308
<=> ! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f325,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
fof(f3149,plain,
spl0_307,
inference(avatar_split_clause,[],[f302,f3147]) ).
fof(f3147,plain,
( spl0_307
<=> ! [X10,X11,X5,X7] :
( ~ hBOOL(c_in(X7,X11,X5))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f302,axiom,
! [X10,X11,X7,X5] :
( ~ hBOOL(c_in(X7,X11,X5))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
fof(f3145,plain,
spl0_306,
inference(avatar_split_clause,[],[f301,f3143]) ).
fof(f3143,plain,
( spl0_306
<=> ! [X10,X11,X5,X7] :
( ~ hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f301,axiom,
! [X10,X11,X7,X5] :
( ~ hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
fof(f3141,plain,
spl0_305,
inference(avatar_split_clause,[],[f282,f3139]) ).
fof(f3139,plain,
( spl0_305
<=> ! [X5,X11,X10,X9,X8] :
( c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f282,axiom,
! [X10,X11,X8,X9,X5] :
( c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).
fof(f3137,plain,
spl0_304,
inference(avatar_split_clause,[],[f281,f3135]) ).
fof(f3135,plain,
( spl0_304
<=> ! [X5,X10,X11,X9,X8] :
( c_Fun_Oinj__on(X8,X11,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f281,axiom,
! [X10,X11,X8,X9,X5] :
( c_Fun_Oinj__on(X8,X11,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
fof(f3123,plain,
spl0_303,
inference(avatar_split_clause,[],[f273,f3121]) ).
fof(f3121,plain,
( spl0_303
<=> ! [X2,X23] :
( c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f273,axiom,
! [X2,X23] :
( c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
fof(f3119,plain,
spl0_302,
inference(avatar_split_clause,[],[f272,f3117]) ).
fof(f3117,plain,
( spl0_302
<=> ! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f272,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
fof(f3115,plain,
spl0_301,
inference(avatar_split_clause,[],[f258,f3113]) ).
fof(f3113,plain,
( spl0_301
<=> ! [X5,X10] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f258,axiom,
! [X10,X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition_0) ).
fof(f3111,plain,
spl0_300,
inference(avatar_split_clause,[],[f257,f3109]) ).
fof(f3109,plain,
( spl0_300
<=> ! [X5,X10] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X10,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f257,axiom,
! [X10,X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X10,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition2_0) ).
fof(f3107,plain,
spl0_299,
inference(avatar_split_clause,[],[f237,f3105]) ).
fof(f3105,plain,
( spl0_299
<=> ! [X2,X23] :
( c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f237,axiom,
! [X2,X23] :
( c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
fof(f3103,plain,
spl0_298,
inference(avatar_split_clause,[],[f236,f3101]) ).
fof(f3101,plain,
( spl0_298
<=> ! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f236,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
fof(f3099,plain,
spl0_297,
inference(avatar_split_clause,[],[f234,f3097]) ).
fof(f3097,plain,
( spl0_297
<=> ! [X4,X10,X5,X22] : c_Set_Oinsert(X4,c_Set_Oinsert(X22,X10,X5),X5) = c_Set_Oinsert(X22,c_Set_Oinsert(X4,X10,X5),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f234,axiom,
! [X10,X4,X22,X5] : c_Set_Oinsert(X4,c_Set_Oinsert(X22,X10,X5),X5) = c_Set_Oinsert(X22,c_Set_Oinsert(X4,X10,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
fof(f3095,plain,
spl0_296,
inference(avatar_split_clause,[],[f201,f3093]) ).
fof(f3093,plain,
( spl0_296
<=> ! [X2,X17] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oparts(X2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f201,axiom,
! [X2,X17] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
fof(f3091,plain,
spl0_295,
inference(avatar_split_clause,[],[f189,f3089]) ).
fof(f3089,plain,
( spl0_295
<=> ! [X2,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f189,axiom,
! [X2,X17] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__synth_0) ).
fof(f3087,plain,
spl0_294,
inference(avatar_split_clause,[],[f185,f3085]) ).
fof(f3085,plain,
( spl0_294
<=> ! [X6,X23,X7] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Set_Oinsert(X6,X23,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f185,axiom,
! [X6,X7,X23] :
( ~ hBOOL(c_in(X7,c_Message_Oanalz(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oanalz(c_Set_Oinsert(X6,X23,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
fof(f3083,plain,
spl0_293,
inference(avatar_split_clause,[],[f180,f3081]) ).
fof(f3081,plain,
( spl0_293
<=> ! [X6,X23,X7] :
( ~ hBOOL(c_in(X7,c_Message_Oparts(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oparts(c_Set_Oinsert(X6,X23,tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f180,axiom,
! [X6,X7,X23] :
( ~ hBOOL(c_in(X7,c_Message_Oparts(X23),tc_Message_Omsg))
| hBOOL(c_in(X7,c_Message_Oparts(c_Set_Oinsert(X6,X23,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
fof(f3079,plain,
spl0_292,
inference(avatar_split_clause,[],[f118,f3077]) ).
fof(f3077,plain,
( spl0_292
<=> ! [X4,X5,X11,X10] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f118,axiom,
! [X10,X11,X4,X5] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
fof(f3075,plain,
spl0_291,
inference(avatar_split_clause,[],[f117,f3073]) ).
fof(f3073,plain,
( spl0_291
<=> ! [X10,X11,X13,X5] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_lessequals(X10,c_Set_Oinsert(X13,X11,X5),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f117,axiom,
! [X10,X11,X5,X13] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_lessequals(X10,c_Set_Oinsert(X13,X11,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f3071,plain,
spl0_290,
inference(avatar_split_clause,[],[f80,f3069]) ).
fof(f3069,plain,
( spl0_290
<=> ! [X5,X11,X10] :
( X10 = X11
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f80,axiom,
! [X10,X11,X5] :
( X10 = X11
| ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
fof(f3067,plain,
spl0_289,
inference(avatar_split_clause,[],[f62,f3065]) ).
fof(f3065,plain,
( spl0_289
<=> ! [X9,X10] :
( ~ class_HOL_Ouminus(X9)
| hAPP(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(t_a,X9)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(X10,v_x),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f62,axiom,
! [X10,X9] :
( ~ class_HOL_Ouminus(X9)
| hAPP(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(t_a,X9)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(X10,v_x),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__Compl__def_0) ).
fof(f3063,plain,
spl0_288,
inference(avatar_split_clause,[],[f42,f3061]) ).
fof(f3061,plain,
( spl0_288
<=> ! [X5,X10] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| ~ c_lessequals(X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f42,axiom,
! [X10,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = X10
| ~ c_lessequals(X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
fof(f3057,plain,
( ~ spl0_287
| ~ spl0_8
| spl0_286 ),
inference(avatar_split_clause,[],[f3052,f3048,f712,f3054]) ).
fof(f712,plain,
( spl0_8
<=> v_KAB = v_K ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3048,plain,
( spl0_286
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f3052,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| ~ spl0_8
| spl0_286 ),
inference(forward_demodulation,[],[f3050,f714]) ).
fof(f714,plain,
( v_KAB = v_K
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f3050,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| spl0_286 ),
inference(avatar_component_clause,[],[f3048]) ).
fof(f3051,plain,
( ~ spl0_102
| spl0_285
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f567,f3048,f3044,f1156]) ).
fof(f1156,plain,
( spl0_102
<=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f3044,plain,
( spl0_285
<=> hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f567,axiom,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_33) ).
fof(f3040,plain,
( spl0_284
| ~ spl0_4
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1665,f1566,f693,f3037]) ).
fof(f693,plain,
( spl0_4
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1566,plain,
( spl0_177
<=> ! [X6,X5,X10] :
( ~ hBOOL(c_in(X6,X10,X5))
| c_Set_Oinsert(X6,X10,X5) = X10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1665,plain,
( c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_4
| ~ spl0_177 ),
inference(resolution,[],[f1567,f695]) ).
fof(f695,plain,
( hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f1567,plain,
( ! [X10,X6,X5] :
( ~ hBOOL(c_in(X6,X10,X5))
| c_Set_Oinsert(X6,X10,X5) = X10 )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f2987,plain,
( ~ spl0_283
| spl0_5
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1332,f1279,f698,f2984]) ).
fof(f2984,plain,
( spl0_283
<=> hBOOL(hAPP(c_Event_Oused(v_evs2),hAPP(c_Message_Omsg_OKey,v_KAB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1332,plain,
( ~ hBOOL(hAPP(c_Event_Oused(v_evs2),hAPP(c_Message_Omsg_OKey,v_KAB)))
| spl0_5
| ~ spl0_131 ),
inference(resolution,[],[f1280,f700]) ).
fof(f700,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| spl0_5 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f2551,plain,
( spl0_282
| ~ spl0_23
| ~ spl0_113
| ~ spl0_162
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f2546,f2542,f1504,f1205,f791,f2548]) ).
fof(f2548,plain,
( spl0_282
<=> 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_282])]) ).
fof(f791,plain,
( spl0_23
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1205,plain,
( spl0_113
<=> ! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X5),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1504,plain,
( spl0_162
<=> ! [X9] :
( ~ class_Orderings_Obot(X9)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f2542,plain,
( spl0_281
<=> 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_281])]) ).
fof(f2546,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_23
| ~ spl0_113
| ~ spl0_162
| ~ spl0_281 ),
inference(forward_demodulation,[],[f2544,f1613]) ).
fof(f1613,plain,
( hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ spl0_23
| ~ spl0_113
| ~ spl0_162 ),
inference(forward_demodulation,[],[f1611,f1206]) ).
fof(f1206,plain,
( ! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X5),X5)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1611,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ spl0_23
| ~ spl0_162 ),
inference(resolution,[],[f1505,f793]) ).
fof(f793,plain,
( class_Orderings_Obot(tc_bool)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f1505,plain,
( ! [X9] :
( ~ class_Orderings_Obot(X9)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f2544,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_281 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2545,plain,
spl0_281,
inference(avatar_split_clause,[],[f642,f2542]) ).
fof(f642,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,[],[f54,f47]) ).
fof(f54,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/sandbox/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
fof(f2540,plain,
spl0_280,
inference(avatar_split_clause,[],[f626,f2538]) ).
fof(f2538,plain,
( spl0_280
<=> ! [X13,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f626,plain,
! [X10,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f168,f136]) ).
fof(f168,axiom,
! [X10,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_OinitState(X10),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
fof(f2536,plain,
( ~ spl0_279
| ~ spl0_113
| spl0_241 ),
inference(avatar_split_clause,[],[f2446,f2359,f1205,f2533]) ).
fof(f2533,plain,
( spl0_279
<=> c_Event_Obad = c_List_Oset(c_List_Olist_ONil(tc_Message_Oagent),tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f2359,plain,
( spl0_241
<=> c_Event_Obad = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2446,plain,
( c_Event_Obad != c_List_Oset(c_List_Olist_ONil(tc_Message_Oagent),tc_Message_Oagent)
| ~ spl0_113
| spl0_241 ),
inference(superposition,[],[f2361,f1206]) ).
fof(f2361,plain,
( c_Event_Obad != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool))
| spl0_241 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2531,plain,
spl0_278,
inference(avatar_split_clause,[],[f469,f2529]) ).
fof(f2529,plain,
( spl0_278
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f469,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_0) ).
fof(f2527,plain,
spl0_277,
inference(avatar_split_clause,[],[f468,f2525]) ).
fof(f2525,plain,
( spl0_277
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f468,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__used_1) ).
fof(f2523,plain,
spl0_276,
inference(avatar_split_clause,[],[f467,f2521]) ).
fof(f2521,plain,
( spl0_276
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f467,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
fof(f2519,plain,
spl0_275,
inference(avatar_split_clause,[],[f466,f2517]) ).
fof(f2517,plain,
( spl0_275
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f466,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
fof(f2515,plain,
spl0_274,
inference(avatar_split_clause,[],[f422,f2513]) ).
fof(f2513,plain,
( spl0_274
<=> ! [X5,X4,X9,X8] : hBOOL(c_in(hAPP(X8,X4),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X5),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f422,axiom,
! [X8,X9,X4,X5] : hBOOL(c_in(hAPP(X8,X4),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X5),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
fof(f2511,plain,
spl0_273,
inference(avatar_split_clause,[],[f398,f2509]) ).
fof(f2509,plain,
( spl0_273
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f398,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
fof(f2507,plain,
spl0_272,
inference(avatar_split_clause,[],[f397,f2505]) ).
fof(f2505,plain,
( spl0_272
<=> ! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f397,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
fof(f2503,plain,
spl0_271,
inference(avatar_split_clause,[],[f396,f2501]) ).
fof(f2501,plain,
( spl0_271
<=> ! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f396,axiom,
! [X2,X0,X17] :
( hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f2499,plain,
spl0_270,
inference(avatar_split_clause,[],[f383,f2497]) ).
fof(f383,axiom,
! [X7,X16] :
( hBOOL(c_in(X7,c_Event_Oused(X16),tc_Message_Omsg))
| ~ hBOOL(c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
fof(f2495,plain,
spl0_269,
inference(avatar_split_clause,[],[f365,f2493]) ).
fof(f2493,plain,
( spl0_269
<=> ! [X2,X0,X17] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OkeysFor(X2),tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f365,axiom,
! [X2,X0,X17] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OkeysFor(X2),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f2491,plain,
( ~ spl0_268
| ~ spl0_113
| spl0_240 ),
inference(avatar_split_clause,[],[f2405,f2185,f1205,f2488]) ).
fof(f2488,plain,
( spl0_268
<=> c_Message_OsymKeys = c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f2185,plain,
( spl0_240
<=> c_Message_OsymKeys = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2405,plain,
( c_Message_OsymKeys != c_List_Oset(c_List_Olist_ONil(tc_nat),tc_nat)
| ~ spl0_113
| spl0_240 ),
inference(superposition,[],[f2187,f1206]) ).
fof(f2187,plain,
( c_Message_OsymKeys != c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
| spl0_240 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f2486,plain,
spl0_267,
inference(avatar_split_clause,[],[f359,f2484]) ).
fof(f2484,plain,
( spl0_267
<=> ! [X13,X4,X40,X7] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X4)),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f359,axiom,
! [X40,X7,X4,X13] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X4)),c_Set_Oimage(c_Public_OpublicKey(X7),X40,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
fof(f2482,plain,
spl0_266,
inference(avatar_split_clause,[],[f324,f2480]) ).
fof(f2480,plain,
( spl0_266
<=> ! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f324,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).
fof(f2478,plain,
spl0_265,
inference(avatar_split_clause,[],[f306,f2476]) ).
fof(f2476,plain,
( spl0_265
<=> ! [X5,X7,X10] :
( ~ hBOOL(c_in(X7,X10,X5))
| ~ hBOOL(c_in(X7,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f306,axiom,
! [X10,X7,X5] :
( ~ hBOOL(c_in(X7,X10,X5))
| ~ hBOOL(c_in(X7,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
fof(f2474,plain,
spl0_264,
inference(avatar_split_clause,[],[f305,f2472]) ).
fof(f2472,plain,
( spl0_264
<=> ! [X5,X7,X10] :
( hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f305,axiom,
! [X10,X7,X5] :
( hBOOL(c_in(X7,X10,X5))
| hBOOL(c_in(X7,c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
fof(f2470,plain,
spl0_263,
inference(avatar_split_clause,[],[f283,f2468]) ).
fof(f2468,plain,
( spl0_263
<=> ! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_OkeysFor(X23),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f283,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_OkeysFor(X23),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__mono_0) ).
fof(f2466,plain,
spl0_262,
inference(avatar_split_clause,[],[f276,f2464]) ).
fof(f2464,plain,
( spl0_262
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f276,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
fof(f2462,plain,
spl0_261,
inference(avatar_split_clause,[],[f275,f2460]) ).
fof(f2460,plain,
( spl0_261
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f275,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
fof(f2458,plain,
spl0_260,
inference(avatar_split_clause,[],[f261,f2456]) ).
fof(f261,axiom,
! [X10,X11,X4,X5] :
( hBOOL(c_in(X4,X11,X5))
| ~ c_lessequals(c_Set_Oinsert(X4,X10,X5),X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f2454,plain,
spl0_259,
inference(avatar_split_clause,[],[f187,f2452]) ).
fof(f2452,plain,
( spl0_259
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(X2) = c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f187,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| c_Message_Oanalz(X2) = c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
fof(f2450,plain,
spl0_258,
inference(avatar_split_clause,[],[f179,f2448]) ).
fof(f2448,plain,
( spl0_258
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| c_Message_Oparts(X2) = c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f179,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))
| c_Message_Oparts(X2) = c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f2445,plain,
spl0_257,
inference(avatar_split_clause,[],[f161,f2443]) ).
fof(f2443,plain,
( spl0_257
<=> ! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f161,axiom,
! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).
fof(f2441,plain,
spl0_256,
inference(avatar_split_clause,[],[f154,f2439]) ).
fof(f2439,plain,
( spl0_256
<=> ! [X3,X4,X5,X28] :
( ~ hBOOL(hAPP(X3,X4))
| hBOOL(hAPP(X28,X4))
| ~ c_lessequals(X3,X28,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f154,axiom,
! [X3,X28,X4,X5] :
( ~ hBOOL(hAPP(X3,X4))
| hBOOL(hAPP(X28,X4))
| ~ c_lessequals(X3,X28,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f2437,plain,
spl0_255,
inference(avatar_split_clause,[],[f146,f2435]) ).
fof(f2435,plain,
( spl0_255
<=> ! [X4,X5,X27,X22] :
( ~ class_Orderings_Opreorder(X5)
| ~ c_lessequals(X4,X22,X5)
| ~ c_lessequals(X22,X27,X5)
| c_lessequals(X4,X27,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f146,axiom,
! [X27,X4,X5,X22] :
( ~ class_Orderings_Opreorder(X5)
| ~ c_lessequals(X4,X22,X5)
| ~ c_lessequals(X22,X27,X5)
| c_lessequals(X4,X27,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
fof(f2433,plain,
spl0_254,
inference(avatar_split_clause,[],[f145,f2431]) ).
fof(f2431,plain,
( spl0_254
<=> ! [X4,X5,X27,X22] :
( ~ class_Orderings_Oorder(X5)
| ~ c_lessequals(X22,X4,X5)
| ~ c_lessequals(X27,X22,X5)
| c_lessequals(X27,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f145,axiom,
! [X27,X4,X5,X22] :
( ~ class_Orderings_Oorder(X5)
| ~ c_lessequals(X22,X4,X5)
| ~ c_lessequals(X27,X22,X5)
| c_lessequals(X27,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
fof(f2429,plain,
spl0_253,
inference(avatar_split_clause,[],[f122,f2427]) ).
fof(f2427,plain,
( spl0_253
<=> ! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f122,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).
fof(f2425,plain,
spl0_252,
inference(avatar_split_clause,[],[f105,f2423]) ).
fof(f2423,plain,
( spl0_252
<=> ! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f105,axiom,
! [X2,X23] :
( ~ c_lessequals(X23,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).
fof(f2421,plain,
spl0_251,
inference(avatar_split_clause,[],[f101,f2419]) ).
fof(f2419,plain,
( spl0_251
<=> ! [X5,X11] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X11,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f101,axiom,
! [X11,X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X11,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
fof(f2417,plain,
spl0_250,
inference(avatar_split_clause,[],[f100,f2415]) ).
fof(f2415,plain,
( spl0_250
<=> ! [X5,X10] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f100,axiom,
! [X10,X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
fof(f2413,plain,
spl0_249,
inference(avatar_split_clause,[],[f97,f2411]) ).
fof(f2411,plain,
( spl0_249
<=> ! [X4,X10,X5,X22] :
( X4 = X22
| hBOOL(hAPP(X10,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X22,X10,X5),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f97,axiom,
! [X10,X4,X22,X5] :
( X4 = X22
| hBOOL(hAPP(X10,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X22,X10,X5),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f2409,plain,
spl0_248,
inference(avatar_split_clause,[],[f92,f2407]) ).
fof(f2407,plain,
( spl0_248
<=> ! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f92,axiom,
! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__insert_0) ).
fof(f2404,plain,
spl0_247,
inference(avatar_split_clause,[],[f81,f2402]) ).
fof(f2402,plain,
( spl0_247
<=> ! [X5,X11,X10] :
( X10 = X11
| c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f81,axiom,
! [X10,X11,X5] :
( X10 = X11
| c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X11,tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
fof(f2400,plain,
spl0_246,
inference(avatar_split_clause,[],[f72,f2398]) ).
fof(f2398,plain,
( spl0_246
<=> ! [X5,X11,X10] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f72,axiom,
! [X10,X11,X5] :
( ~ c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
fof(f2396,plain,
spl0_245,
inference(avatar_split_clause,[],[f71,f2394]) ).
fof(f2394,plain,
( spl0_245
<=> ! [X5,X11,X10] :
( ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = X10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f71,axiom,
! [X10,X11,X5] :
( ~ c_lessequals(X11,X10,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
fof(f2392,plain,
spl0_244,
inference(avatar_split_clause,[],[f70,f2390]) ).
fof(f2390,plain,
( spl0_244
<=> ! [X5,X11,X10] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) != X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f70,axiom,
! [X10,X11,X5] :
( c_lessequals(X10,X11,tc_fun(X5,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)) != X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
fof(f2388,plain,
spl0_243,
inference(avatar_split_clause,[],[f69,f2386]) ).
fof(f2386,plain,
( spl0_243
<=> ! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f69,axiom,
! [X2,X0] : c_lessequals(c_Set_Oinsert(X0,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
fof(f2384,plain,
spl0_242,
inference(avatar_split_clause,[],[f22,f2382]) ).
fof(f2382,plain,
( spl0_242
<=> ! [X13,X5,X6] :
( X6 = X13
| ~ hBOOL(c_in(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f22,axiom,
! [X6,X5,X13] :
( X6 = X13
| ~ hBOOL(c_in(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
fof(f2362,plain,
( ~ spl0_241
| ~ spl0_107
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2073,f1966,f1181,f2359]) ).
fof(f2073,plain,
( c_Event_Obad != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Oagent,tc_bool))
| ~ spl0_107
| ~ spl0_221 ),
inference(superposition,[],[f1182,f1968]) ).
fof(f2188,plain,
( ~ spl0_240
| ~ spl0_107
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2013,f1927,f1181,f2185]) ).
fof(f2013,plain,
( c_Message_OsymKeys != c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
| ~ spl0_107
| ~ spl0_212 ),
inference(superposition,[],[f1182,f1929]) ).
fof(f2047,plain,
spl0_239,
inference(avatar_split_clause,[],[f625,f2045]) ).
fof(f2045,plain,
( spl0_239
<=> ! [X13,X11,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f625,plain,
! [X10,X11,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f352,f136]) ).
fof(f352,axiom,
! [X10,X11,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_OinitState(X11),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
fof(f2043,plain,
spl0_238,
inference(avatar_split_clause,[],[f437,f2041]) ).
fof(f2041,plain,
( spl0_238
<=> ! [X13,X16,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f437,axiom,
! [X10,X16,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
fof(f2039,plain,
spl0_237,
inference(avatar_split_clause,[],[f372,f2037]) ).
fof(f2037,plain,
( spl0_237
<=> ! [X13,X4,X40] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X4)),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f372,axiom,
! [X40,X4,X13] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X4)),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
fof(f2035,plain,
spl0_236,
inference(avatar_split_clause,[],[f295,f2033]) ).
fof(f2033,plain,
( spl0_236
<=> ! [X5,X10,X13,X6] :
( ~ hBOOL(c_in(X6,X10,X5))
| hBOOL(c_in(X6,c_Set_Oinsert(X13,X10,X5),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f295,axiom,
! [X10,X6,X5,X13] :
( ~ hBOOL(c_in(X6,X10,X5))
| hBOOL(c_in(X6,c_Set_Oinsert(X13,X10,X5),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
fof(f2031,plain,
spl0_235,
inference(avatar_split_clause,[],[f269,f2029]) ).
fof(f2027,plain,
spl0_234,
inference(avatar_split_clause,[],[f226,f2025]) ).
fof(f2025,plain,
( spl0_234
<=> ! [X16,X37,X10] : c_lessequals(c_Event_Oknows(X10,X16),c_Event_Oknows(X10,c_List_Olist_OCons(X37,X16,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f226,axiom,
! [X10,X37,X16] : c_lessequals(c_Event_Oknows(X10,X16),c_Event_Oknows(X10,c_List_Olist_OCons(X37,X16,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
fof(f2023,plain,
spl0_233,
inference(avatar_split_clause,[],[f220,f2021]) ).
fof(f2021,plain,
( spl0_233
<=> ! [X34,X2] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X34),c_Message_Oanalz(X2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f220,axiom,
! [X2,X34] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X34),c_Message_Oanalz(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
fof(f2019,plain,
spl0_232,
inference(avatar_split_clause,[],[f216,f2017]) ).
fof(f2017,plain,
( spl0_232
<=> ! [X2,X35] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X35),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X35),c_Message_Oanalz(X2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f216,axiom,
! [X2,X35] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X35),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X35),c_Message_Oanalz(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
fof(f2009,plain,
spl0_231,
inference(avatar_split_clause,[],[f215,f2007]) ).
fof(f2007,plain,
( spl0_231
<=> ! [X34,X2] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X34),c_Message_Oparts(X2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f215,axiom,
! [X2,X34] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X34),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
fof(f2005,plain,
spl0_230,
inference(avatar_split_clause,[],[f213,f2003]) ).
fof(f2003,plain,
( spl0_230
<=> ! [X2,X35] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X35),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X35),c_Message_Oparts(X2),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f213,axiom,
! [X2,X35] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X35),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X35),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
fof(f2001,plain,
spl0_229,
inference(avatar_split_clause,[],[f210,f1999]) ).
fof(f1999,plain,
( spl0_229
<=> ! [X2,X36] :
( hBOOL(c_in(c_Message_Omsg_ONonce(X36),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_ONonce(X36),c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f210,axiom,
! [X2,X36] :
( hBOOL(c_in(c_Message_Omsg_ONonce(X36),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_ONonce(X36),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
fof(f1997,plain,
spl0_228,
inference(avatar_split_clause,[],[f173,f1995]) ).
fof(f1995,plain,
( spl0_228
<=> ! [X4,X5,X14] : c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5) = c_Set_Oinsert(X4,c_List_Oset(X14,X5),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1993,plain,
spl0_227,
inference(avatar_split_clause,[],[f172,f1991]) ).
fof(f1991,plain,
( spl0_227
<=> ! [X4,X5,X14] : c_lessequals(c_List_Oset(X14,X5),c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f172,axiom,
! [X14,X4,X5] : c_lessequals(c_List_Oset(X14,X5),c_List_Oset(c_List_Olist_OCons(X4,X14,X5),X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
fof(f1989,plain,
spl0_226,
inference(avatar_split_clause,[],[f141,f1987]) ).
fof(f1987,plain,
( spl0_226
<=> ! [X13,X4,X5,X6] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X13,X4,X5)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f141,axiom,
! [X6,X4,X5,X13] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X13,X4,X5)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
fof(f1985,plain,
spl0_225,
inference(avatar_split_clause,[],[f140,f1983]) ).
fof(f1983,plain,
( spl0_225
<=> ! [X5,X4,X13,X6] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X6,X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f140,axiom,
! [X6,X4,X5,X13] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X6,X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
fof(f1981,plain,
spl0_224,
inference(avatar_split_clause,[],[f139,f1979]) ).
fof(f1979,plain,
( spl0_224
<=> ! [X6,X4,X13,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X13,X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f139,axiom,
! [X6,X4,X5,X13] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X13,X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X6,X13,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
fof(f1977,plain,
spl0_223,
inference(avatar_split_clause,[],[f138,f1975]) ).
fof(f1975,plain,
( spl0_223
<=> ! [X4,X5,X27,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,X27,X5)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f138,axiom,
! [X27,X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,X27,X5)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X27,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
fof(f1973,plain,
spl0_222,
inference(avatar_split_clause,[],[f119,f1971]) ).
fof(f1971,plain,
( spl0_222
<=> ! [X5,X6,X10,X9,X8] :
( c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X6,X10,X5),X5,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f119,axiom,
! [X10,X8,X6,X9,X5] :
( c_Fun_Oinj__on(X8,X10,X5,X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X6,X10,X5),X5,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
fof(f1969,plain,
( spl0_221
| ~ spl0_6
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1667,f1566,f703,f1966]) ).
fof(f703,plain,
( spl0_6
<=> hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1667,plain,
( c_Event_Obad = c_Set_Oinsert(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_6
| ~ spl0_177 ),
inference(resolution,[],[f1567,f705]) ).
fof(f705,plain,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1964,plain,
spl0_220,
inference(avatar_split_clause,[],[f89,f1962]) ).
fof(f1962,plain,
( spl0_220
<=> ! [X4,X5,X11,X10] :
( ~ hBOOL(hAPP(X11,X4))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f89,axiom,
! [X10,X11,X4,X5] :
( ~ hBOOL(hAPP(X11,X4))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
fof(f1960,plain,
spl0_219,
inference(avatar_split_clause,[],[f88,f1958]) ).
fof(f1958,plain,
( spl0_219
<=> ! [X4,X11,X5,X10] :
( ~ hBOOL(hAPP(X10,X4))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f88,axiom,
! [X10,X11,X4,X5] :
( ~ hBOOL(hAPP(X10,X4))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f1956,plain,
spl0_218,
inference(avatar_split_clause,[],[f77,f1954]) ).
fof(f1954,plain,
( spl0_218
<=> ! [X22,X4,X5] :
( ~ class_Orderings_Oorder(X5)
| X4 = X22
| ~ c_lessequals(X4,X22,X5)
| ~ c_lessequals(X22,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f77,axiom,
! [X4,X5,X22] :
( ~ class_Orderings_Oorder(X5)
| X4 = X22
| ~ c_lessequals(X4,X22,X5)
| ~ c_lessequals(X22,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
fof(f1952,plain,
spl0_217,
inference(avatar_split_clause,[],[f46,f1950]) ).
fof(f1950,plain,
( spl0_217
<=> ! [X5] : c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f46,axiom,
! [X5] : c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__empty__eq_0) ).
fof(f1948,plain,
spl0_216,
inference(avatar_split_clause,[],[f35,f1946]) ).
fof(f1946,plain,
( spl0_216
<=> ! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f35,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__UNIV__eq_0) ).
fof(f1944,plain,
spl0_215,
inference(avatar_split_clause,[],[f19,f1942]) ).
fof(f1942,plain,
( spl0_215
<=> ! [X9,X5,X8] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_Set_Oimage(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f19,axiom,
! [X8,X9,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_Set_Oimage(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
fof(f1940,plain,
spl0_214,
inference(avatar_split_clause,[],[f12,f1938]) ).
fof(f1938,plain,
( spl0_214
<=> ! [X5,X11,X10] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Obot__class_Obot(X5) = X10
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X5) != c_Orderings_Obot__class_Obot(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f12,axiom,
! [X10,X11,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Obot__class_Obot(X5) = X10
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X5) != c_Orderings_Obot__class_Obot(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
fof(f1936,plain,
spl0_213,
inference(avatar_split_clause,[],[f11,f1934]) ).
fof(f1934,plain,
( spl0_213
<=> ! [X5,X11,X10] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Obot__class_Obot(X5) = X11
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X5) != c_Orderings_Obot__class_Obot(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f11,axiom,
! [X10,X11,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Obot__class_Obot(X5) = X11
| c_Lattices_Oupper__semilattice__class_Osup(X10,X11,X5) != c_Orderings_Obot__class_Obot(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
fof(f1930,plain,
( spl0_212
| ~ spl0_3
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1666,f1566,f688,f1927]) ).
fof(f688,plain,
( spl0_3
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1666,plain,
( c_Message_OsymKeys = c_Set_Oinsert(v_KAB,c_Message_OsymKeys,tc_nat)
| ~ spl0_3
| ~ spl0_177 ),
inference(resolution,[],[f1567,f690]) ).
fof(f690,plain,
( hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f1788,plain,
spl0_211,
inference(avatar_split_clause,[],[f476,f1786]) ).
fof(f1786,plain,
( spl0_211
<=> ! [X48,X64,X50,X49,X46,X65] :
( X46 = X48
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f476,axiom,
! [X50,X65,X48,X46,X49,X64] :
( X46 = X48
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
fof(f1784,plain,
spl0_210,
inference(avatar_split_clause,[],[f475,f1782]) ).
fof(f1782,plain,
( spl0_210
<=> ! [X48,X64,X50,X49,X46,X65] :
( X50 = X65
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f475,axiom,
! [X50,X65,X48,X46,X49,X64] :
( X50 = X65
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
fof(f1780,plain,
spl0_209,
inference(avatar_split_clause,[],[f474,f1778]) ).
fof(f1778,plain,
( spl0_209
<=> ! [X48,X46,X64,X50,X49,X65] :
( X49 = X64
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f474,axiom,
! [X50,X65,X48,X46,X49,X64] :
( X49 = X64
| c_Event_Oevent_OSays(X49,X50,X46) != c_Event_Oevent_OSays(X64,X65,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f1776,plain,
spl0_208,
inference(avatar_split_clause,[],[f432,f1774]) ).
fof(f1774,plain,
( spl0_208
<=> ! [X6,X20,X21,X5,X52] :
( X21 = X52
| c_List_Olist_OCons(X20,X21,X5) != c_List_Olist_OCons(X6,X52,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f432,axiom,
! [X21,X6,X52,X5,X20] :
( X21 = X52
| c_List_Olist_OCons(X20,X21,X5) != c_List_Olist_OCons(X6,X52,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
fof(f1772,plain,
spl0_207,
inference(avatar_split_clause,[],[f431,f1770]) ).
fof(f1770,plain,
( spl0_207
<=> ! [X5,X20,X21,X6,X52] :
( X6 = X20
| c_List_Olist_OCons(X20,X21,X5) != c_List_Olist_OCons(X6,X52,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f431,axiom,
! [X21,X6,X52,X5,X20] :
( X6 = X20
| c_List_Olist_OCons(X20,X21,X5) != c_List_Olist_OCons(X6,X52,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f1768,plain,
spl0_206,
inference(avatar_split_clause,[],[f424,f1766]) ).
fof(f1766,plain,
( spl0_206
<=> ! [X13,X25,X7,X10] :
( X10 = X25
| hAPP(c_Public_OpublicKey(X13),X10) != hAPP(c_Public_OpublicKey(X7),X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f424,axiom,
! [X10,X7,X25,X13] :
( X10 = X25
| hAPP(c_Public_OpublicKey(X13),X10) != hAPP(c_Public_OpublicKey(X7),X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
fof(f1764,plain,
spl0_205,
inference(avatar_split_clause,[],[f423,f1762]) ).
fof(f1762,plain,
( spl0_205
<=> ! [X13,X10,X25,X7] :
( X7 = X13
| hAPP(c_Public_OpublicKey(X13),X10) != hAPP(c_Public_OpublicKey(X7),X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f423,axiom,
! [X10,X7,X25,X13] :
( X7 = X13
| hAPP(c_Public_OpublicKey(X13),X10) != hAPP(c_Public_OpublicKey(X7),X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
fof(f1760,plain,
spl0_204,
inference(avatar_split_clause,[],[f410,f1758]) ).
fof(f1758,plain,
( spl0_204
<=> ! [X16,X0,X10] : c_Event_Oknows(c_Message_Oagent_OSpy,X16) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f410,axiom,
! [X10,X0,X16] : c_Event_Oknows(c_Message_Oagent_OSpy,X16) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
fof(f1756,plain,
spl0_203,
inference(avatar_split_clause,[],[f409,f1754]) ).
fof(f1754,plain,
( spl0_203
<=> ! [X13,X4,X40] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f409,axiom,
! [X40,X4,X13] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X4),c_Set_Oimage(c_Public_OshrK,X40,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
fof(f1752,plain,
spl0_202,
inference(avatar_split_clause,[],[f408,f1750]) ).
fof(f1750,plain,
( spl0_202
<=> ! [X13,X4,X40] : ~ hBOOL(c_in(hAPP(c_Public_OshrK,X4),c_Set_Oimage(c_Public_OpublicKey(X13),X40,tc_Message_Oagent,tc_nat),tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f408,axiom,
! [X40,X4,X13] : ~ hBOOL(c_in(hAPP(c_Public_OshrK,X4),c_Set_Oimage(c_Public_OpublicKey(X13),X40,tc_Message_Oagent,tc_nat),tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
fof(f1748,plain,
spl0_201,
inference(avatar_split_clause,[],[f393,f1746]) ).
fof(f393,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
fof(f1744,plain,
spl0_200,
inference(avatar_split_clause,[],[f384,f1742]) ).
fof(f1742,plain,
( spl0_200
<=> ! [X13,X16,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f384,axiom,
! [X10,X16,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
fof(f1740,plain,
spl0_199,
inference(avatar_split_clause,[],[f366,f1738]) ).
fof(f1738,plain,
( spl0_199
<=> ! [X13,X16,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oused(X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f366,axiom,
! [X10,X16,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10))),c_Event_Oused(X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
fof(f1736,plain,
spl0_198,
inference(avatar_split_clause,[],[f278,f1734]) ).
fof(f1734,plain,
( spl0_198
<=> ! [X2] : c_Message_Oanalz(c_Message_Osynth(X2)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f278,axiom,
! [X2] : c_Message_Oanalz(c_Message_Osynth(X2)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
fof(f1732,plain,
spl0_197,
inference(avatar_split_clause,[],[f209,f1730]) ).
fof(f1730,plain,
( spl0_197
<=> ! [X34] : c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f209,axiom,
! [X34] : c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
fof(f1728,plain,
spl0_196,
inference(avatar_split_clause,[],[f200,f1726]) ).
fof(f1726,plain,
( spl0_196
<=> ! [X34] : c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f200,axiom,
! [X34] : c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg) = c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X34,tc_nat,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
fof(f1724,plain,
spl0_195,
inference(avatar_split_clause,[],[f129,f1722]) ).
fof(f129,axiom,
! [X2] : c_Message_Oparts(c_Message_Osynth(X2)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
fof(f1720,plain,
spl0_194,
inference(avatar_split_clause,[],[f98,f1718]) ).
fof(f1718,plain,
( spl0_194
<=> ! [X4,X5,X10] : c_Set_Oinsert(X4,X10,X5) = c_Set_Oinsert(X4,c_Set_Oinsert(X4,X10,X5),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f98,axiom,
! [X10,X4,X5] : c_Set_Oinsert(X4,X10,X5) = c_Set_Oinsert(X4,c_Set_Oinsert(X4,X10,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
fof(f1716,plain,
spl0_193,
inference(avatar_split_clause,[],[f83,f1714]) ).
fof(f1714,plain,
( spl0_193
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| X4 = X22
| c_HOL_Ouminus__class_Ouminus(X4,X5) != c_HOL_Ouminus__class_Ouminus(X22,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f83,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oboolean__algebra(X5)
| X4 = X22
| c_HOL_Ouminus__class_Ouminus(X4,X5) != c_HOL_Ouminus__class_Ouminus(X22,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
fof(f1712,plain,
spl0_192,
inference(avatar_split_clause,[],[f75,f1710]) ).
fof(f1710,plain,
( spl0_192
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X22,X4,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f75,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X22,X4,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
fof(f1708,plain,
spl0_191,
inference(avatar_split_clause,[],[f74,f1706]) ).
fof(f1706,plain,
( spl0_191
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,X22,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) != X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f74,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,X22,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) != X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
fof(f1704,plain,
spl0_190,
inference(avatar_split_clause,[],[f73,f1702]) ).
fof(f1702,plain,
( spl0_190
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X22,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f73,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| ~ c_lessequals(X4,X22,X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
fof(f1700,plain,
spl0_189,
inference(avatar_split_clause,[],[f53,f1698]) ).
fof(f1698,plain,
( spl0_189
<=> ! [X5,X14] :
( c_List_Olist_ONil(X5) = X14
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_List_Oset(X14,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f53,axiom,
! [X14,X5] :
( c_List_Olist_ONil(X5) = X14
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_List_Oset(X14,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty_0) ).
fof(f1696,plain,
( spl0_102
| spl0_188 ),
inference(avatar_split_clause,[],[f561,f1694,f1156]) ).
fof(f1694,plain,
( spl0_188
<=> ! [X55] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(X55,hAPP(c_Message_Omsg_OKey,v_KAB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f561,axiom,
! [X55] :
( ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(X55,hAPP(c_Message_Omsg_OKey,v_KAB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_27) ).
fof(f1609,plain,
spl0_187,
inference(avatar_split_clause,[],[f623,f1607]) ).
fof(f1607,plain,
( spl0_187
<=> ! [X16,X10] : c_lessequals(c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X10,X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f623,plain,
! [X10,X16] : c_lessequals(c_Event_Oknows(X10,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X10,X16),tc_fun(tc_Message_Omsg,tc_bool)),
inference(definition_unfolding,[],[f104,f136]) ).
fof(f104,axiom,
! [X10,X16] : c_lessequals(c_Event_OinitState(X10),c_Event_Oknows(X10,X16),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
fof(f1605,plain,
spl0_186,
inference(avatar_split_clause,[],[f622,f1603]) ).
fof(f1603,plain,
( spl0_186
<=> ! [X0,X11,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f622,plain,
! [X0,X11,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(definition_unfolding,[],[f338,f136]) ).
fof(f338,axiom,
! [X0,X11,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Message_Oparts(c_Event_OinitState(X11)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
fof(f1601,plain,
( spl0_185
| ~ spl0_6
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1358,f1283,f703,f1598]) ).
fof(f1358,plain,
( hBOOL(hAPP(c_Event_Obad,v_Aa))
| ~ spl0_6
| ~ spl0_132 ),
inference(resolution,[],[f1284,f705]) ).
fof(f1596,plain,
spl0_184,
inference(avatar_split_clause,[],[f505,f1594]) ).
fof(f1594,plain,
( spl0_184
<=> ! [X16,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Event_Oknows(X10,X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f505,axiom,
! [X10,X16] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Event_Oknows(X10,X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
fof(f1592,plain,
spl0_183,
inference(avatar_split_clause,[],[f477,f1590]) ).
fof(f477,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
fof(f1588,plain,
spl0_182,
inference(avatar_split_clause,[],[f429,f1586]) ).
fof(f1586,plain,
( spl0_182
<=> ! [X9] :
( ~ class_Orderings_Otop(X9)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f429,axiom,
! [X9] :
( ~ class_Orderings_Otop(X9)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
fof(f1584,plain,
spl0_181,
inference(avatar_split_clause,[],[f414,f1582]) ).
fof(f1582,plain,
( spl0_181
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f414,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
fof(f1580,plain,
spl0_180,
inference(avatar_split_clause,[],[f389,f1578]) ).
fof(f1578,plain,
( spl0_180
<=> ! [X13,X16,X10] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oused(X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f389,axiom,
! [X10,X16,X13] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X13),X10)),c_Event_Oused(X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
fof(f1576,plain,
spl0_179,
inference(avatar_split_clause,[],[f346,f1574]) ).
fof(f1574,plain,
( spl0_179
<=> ! [X0,X17,X10] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f346,axiom,
! [X10,X0,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
fof(f1572,plain,
spl0_178,
inference(avatar_split_clause,[],[f316,f1570]) ).
fof(f1570,plain,
( spl0_178
<=> ! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f316,axiom,
! [X2,X0] :
( ~ hBOOL(c_in(X0,X2,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
fof(f1568,plain,
spl0_177,
inference(avatar_split_clause,[],[f315,f1566]) ).
fof(f315,axiom,
! [X10,X6,X5] :
( ~ hBOOL(c_in(X6,X10,X5))
| c_Set_Oinsert(X6,X10,X5) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1564,plain,
spl0_176,
inference(avatar_split_clause,[],[f284,f1562]) ).
fof(f1562,plain,
( spl0_176
<=> ! [X5,X10] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f284,axiom,
! [X10,X5] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
fof(f1560,plain,
spl0_175,
inference(avatar_split_clause,[],[f271,f1558]) ).
fof(f1558,plain,
( spl0_175
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f271,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
fof(f1556,plain,
( spl0_174
| ~ spl0_3
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1357,f1283,f688,f1553]) ).
fof(f1553,plain,
( spl0_174
<=> hBOOL(hAPP(c_Message_OsymKeys,v_KAB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1357,plain,
( hBOOL(hAPP(c_Message_OsymKeys,v_KAB))
| ~ spl0_3
| ~ spl0_132 ),
inference(resolution,[],[f1284,f690]) ).
fof(f1551,plain,
spl0_173,
inference(avatar_split_clause,[],[f270,f1549]) ).
fof(f1549,plain,
( spl0_173
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f270,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5) = c_Lattices_Oupper__semilattice__class_Osup(X22,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
fof(f1547,plain,
spl0_172,
inference(avatar_split_clause,[],[f262,f1545]) ).
fof(f1545,plain,
( spl0_172
<=> ! [X22,X4,X5,X10] :
( ~ hBOOL(hAPP(X10,X4))
| hBOOL(hAPP(c_Set_Oinsert(X22,X10,X5),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f262,axiom,
! [X10,X4,X22,X5] :
( ~ hBOOL(hAPP(X10,X4))
| hBOOL(hAPP(c_Set_Oinsert(X22,X10,X5),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f1543,plain,
spl0_171,
inference(avatar_split_clause,[],[f260,f1541]) ).
fof(f1541,plain,
( spl0_171
<=> ! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f260,axiom,
! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).
fof(f1539,plain,
spl0_170,
inference(avatar_split_clause,[],[f259,f1537]) ).
fof(f1537,plain,
( spl0_170
<=> ! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f259,axiom,
! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
fof(f1535,plain,
spl0_169,
inference(avatar_split_clause,[],[f248,f1533]) ).
fof(f248,axiom,
! [X10,X11,X5] : c_lessequals(X10,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f1531,plain,
spl0_168,
inference(avatar_split_clause,[],[f247,f1529]) ).
fof(f247,axiom,
! [X10,X11,X5] : c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X11,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f1527,plain,
spl0_167,
inference(avatar_split_clause,[],[f229,f1525]) ).
fof(f1525,plain,
( spl0_167
<=> ! [X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f229,axiom,
! [X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
fof(f1523,plain,
spl0_166,
inference(avatar_split_clause,[],[f228,f1521]) ).
fof(f1521,plain,
( spl0_166
<=> ! [X17] :
( hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f228,axiom,
! [X17] :
( hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
fof(f1519,plain,
spl0_165,
inference(avatar_split_clause,[],[f33,f1517]) ).
fof(f1517,plain,
( spl0_165
<=> ! [X5,X10] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f33,axiom,
! [X10,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
fof(f1515,plain,
spl0_164,
inference(avatar_split_clause,[],[f32,f1513]) ).
fof(f1513,plain,
( spl0_164
<=> ! [X5,X11] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X11,tc_fun(X5,tc_bool)) = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f32,axiom,
! [X11,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X11,tc_fun(X5,tc_bool)) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f1511,plain,
( spl0_163
| ~ spl0_4
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1356,f1283,f693,f1508]) ).
fof(f1508,plain,
( spl0_163
<=> hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1356,plain,
( hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2))
| ~ spl0_4
| ~ spl0_132 ),
inference(resolution,[],[f1284,f695]) ).
fof(f1506,plain,
spl0_162,
inference(avatar_split_clause,[],[f23,f1504]) ).
fof(f23,axiom,
! [X9] :
( ~ class_Orderings_Obot(X9)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
fof(f1486,plain,
( ~ spl0_161
| spl0_34
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1342,f1279,f845,f1483]) ).
fof(f1483,plain,
( spl0_161
<=> hBOOL(hAPP(c_Event_Obad,v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f845,plain,
( spl0_34
<=> hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1342,plain,
( ~ hBOOL(hAPP(c_Event_Obad,v_Ba))
| spl0_34
| ~ spl0_131 ),
inference(resolution,[],[f1280,f847]) ).
fof(f847,plain,
( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| spl0_34 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f1471,plain,
( ~ spl0_160
| spl0_2
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1341,f1279,f683,f1468]) ).
fof(f1468,plain,
( spl0_160
<=> hBOOL(hAPP(c_Event_Obad,v_B)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f683,plain,
( spl0_2
<=> hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1341,plain,
( ~ hBOOL(hAPP(c_Event_Obad,v_B))
| spl0_2
| ~ spl0_131 ),
inference(resolution,[],[f1280,f685]) ).
fof(f685,plain,
( ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))
| spl0_2 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f1461,plain,
spl0_159,
inference(avatar_split_clause,[],[f641,f1458]) ).
fof(f1458,plain,
( spl0_159
<=> 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_159])]) ).
fof(f641,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,[],[f3,f47]) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',cls_analz__empty_0) ).
fof(f1456,plain,
spl0_158,
inference(avatar_split_clause,[],[f640,f1453]) ).
fof(f1453,plain,
( spl0_158
<=> 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_158])]) ).
fof(f640,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,[],[f15,f47]) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).
fof(f1451,plain,
spl0_157,
inference(avatar_split_clause,[],[f621,f1449]) ).
fof(f621,plain,
! [X11,X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Message_Oparts(c_Event_Oknows(X11,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(definition_unfolding,[],[f347,f136]) ).
fof(f347,axiom,
! [X11,X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Message_Oparts(c_Event_OinitState(X11)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
fof(f1447,plain,
spl0_156,
inference(avatar_split_clause,[],[f533,f1445]) ).
fof(f1445,plain,
( spl0_156
<=> ! [X22,X4] :
( X4 = X22
| hAPP(c_Public_OshrK,X4) != hAPP(c_Public_OshrK,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f533,axiom,
! [X4,X22] :
( X4 = X22
| hAPP(c_Public_OshrK,X4) != hAPP(c_Public_OshrK,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
fof(f1443,plain,
spl0_155,
inference(avatar_split_clause,[],[f528,f1441]) ).
fof(f1441,plain,
( spl0_155
<=> ! [X16,X11] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Event_Oused(X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f528,axiom,
! [X11,X16] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X11)),c_Event_Oused(X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
fof(f1439,plain,
spl0_154,
inference(avatar_split_clause,[],[f520,f1437]) ).
fof(f1437,plain,
( spl0_154
<=> ! [X70,X66,X69,X67] :
( X67 = X70
| c_Message_Omsg_OMPair(X66,X67) != c_Message_Omsg_OMPair(X69,X70) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f520,axiom,
! [X70,X69,X66,X67] :
( X67 = X70
| c_Message_Omsg_OMPair(X66,X67) != c_Message_Omsg_OMPair(X69,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
fof(f1435,plain,
( ~ spl0_153
| spl0_1
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1339,f1279,f678,f1432]) ).
fof(f1339,plain,
( ~ hBOOL(hAPP(c_Event_Obad,v_A))
| spl0_1
| ~ spl0_131 ),
inference(resolution,[],[f1280,f680]) ).
fof(f680,plain,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| spl0_1 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f1430,plain,
spl0_152,
inference(avatar_split_clause,[],[f519,f1428]) ).
fof(f1428,plain,
( spl0_152
<=> ! [X69,X70,X67,X66] :
( X66 = X69
| c_Message_Omsg_OMPair(X66,X67) != c_Message_Omsg_OMPair(X69,X70) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f519,axiom,
! [X70,X69,X66,X67] :
( X66 = X69
| c_Message_Omsg_OMPair(X66,X67) != c_Message_Omsg_OMPair(X69,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
fof(f1426,plain,
spl0_151,
inference(avatar_split_clause,[],[f515,f1424]) ).
fof(f1424,plain,
( spl0_151
<=> ! [X48,X62,X46,X63] :
( X46 = X48
| c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OCrypt(X63,X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f515,axiom,
! [X48,X46,X62,X63] :
( X46 = X48
| c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OCrypt(X63,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
fof(f1422,plain,
spl0_150,
inference(avatar_split_clause,[],[f514,f1420]) ).
fof(f1420,plain,
( spl0_150
<=> ! [X48,X63,X62,X46] :
( X62 = X63
| c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OCrypt(X63,X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f514,axiom,
! [X48,X46,X62,X63] :
( X62 = X63
| c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OCrypt(X63,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
fof(f1418,plain,
spl0_149,
inference(avatar_split_clause,[],[f496,f1416]) ).
fof(f1416,plain,
( spl0_149
<=> ! [X62,X63] :
( X62 = X63
| hAPP(c_Message_Omsg_OKey,X62) != hAPP(c_Message_Omsg_OKey,X63) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f496,axiom,
! [X62,X63] :
( X62 = X63
| hAPP(c_Message_Omsg_OKey,X62) != hAPP(c_Message_Omsg_OKey,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
fof(f1414,plain,
spl0_148,
inference(avatar_split_clause,[],[f482,f1412]) ).
fof(f1412,plain,
( spl0_148
<=> ! [X45,X48,X46,X47] :
( X46 = X48
| c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_ONotes(X45,X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f482,axiom,
! [X48,X46,X47,X45] :
( X46 = X48
| c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_ONotes(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
fof(f1410,plain,
spl0_147,
inference(avatar_split_clause,[],[f481,f1408]) ).
fof(f1408,plain,
( spl0_147
<=> ! [X48,X47,X46,X45] :
( X45 = X47
| c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_ONotes(X45,X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f481,axiom,
! [X48,X46,X47,X45] :
( X45 = X47
| c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_ONotes(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
fof(f1406,plain,
spl0_146,
inference(avatar_split_clause,[],[f433,f1404]) ).
fof(f1404,plain,
( spl0_146
<=> ! [X16,X0,X10] : c_Event_Oused(X16) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f433,axiom,
! [X10,X0,X16] : c_Event_Oused(X16) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X10,X0),X16,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Gets_0) ).
fof(f1402,plain,
spl0_145,
inference(avatar_split_clause,[],[f427,f1400]) ).
fof(f1400,plain,
( spl0_145
<=> ! [X48,X47,X46,X45] :
( X45 = X47
| c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_OGets(X47,X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f427,axiom,
! [X48,X46,X47,X45] :
( X45 = X47
| c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_OGets(X47,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
fof(f1398,plain,
spl0_144,
inference(avatar_split_clause,[],[f426,f1396]) ).
fof(f1396,plain,
( spl0_144
<=> ! [X45,X48,X46,X47] :
( X46 = X48
| c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_OGets(X47,X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f426,axiom,
! [X48,X46,X47,X45] :
( X46 = X48
| c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_OGets(X47,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
fof(f1394,plain,
spl0_143,
inference(avatar_split_clause,[],[f368,f1392]) ).
fof(f1392,plain,
( spl0_143
<=> ! [X16] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),c_Event_Oused(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f368,axiom,
! [X16] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X16)),c_Event_Oused(X16),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
fof(f1387,plain,
spl0_142,
inference(avatar_split_clause,[],[f350,f1385]) ).
fof(f350,axiom,
! [X10,X4] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X4),c_Set_Oimage(c_Message_Omsg_OKey,X10,tc_nat,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
fof(f1383,plain,
spl0_141,
inference(avatar_split_clause,[],[f222,f1381]) ).
fof(f1381,plain,
( spl0_141
<=> ! [X2,X17] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f222,axiom,
! [X2,X17] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X2,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
fof(f1379,plain,
spl0_140,
inference(avatar_split_clause,[],[f221,f1377]) ).
fof(f1377,plain,
( spl0_140
<=> ! [X2,X0,X1] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f221,axiom,
! [X2,X0,X1] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
fof(f1375,plain,
spl0_139,
inference(avatar_split_clause,[],[f165,f1373]) ).
fof(f1373,plain,
( spl0_139
<=> ! [X22,X4,X5] :
( ~ class_Orderings_Olinorder(X5)
| c_lessequals(X4,X22,X5)
| c_lessequals(X22,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f165,axiom,
! [X4,X5,X22] :
( ~ class_Orderings_Olinorder(X5)
| c_lessequals(X4,X22,X5)
| c_lessequals(X22,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
fof(f1371,plain,
spl0_138,
inference(avatar_split_clause,[],[f123,f1369]) ).
fof(f1369,plain,
( spl0_138
<=> ! [X13,X25,X7,X10] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10)) != hAPP(c_Public_OpublicKey(X7),X25) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f123,axiom,
! [X10,X7,X25,X13] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10)) != hAPP(c_Public_OpublicKey(X7),X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
fof(f1367,plain,
spl0_137,
inference(avatar_split_clause,[],[f103,f1365]) ).
fof(f1365,plain,
( spl0_137
<=> ! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Otop__class_Otop(X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f103,axiom,
! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Otop__class_Otop(X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
fof(f1363,plain,
spl0_136,
inference(avatar_split_clause,[],[f102,f1361]) ).
fof(f1361,plain,
( spl0_136
<=> ! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X5),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f102,axiom,
! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Orderings_Otop__class_Otop(X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X5),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
fof(f1328,plain,
( spl0_135
| ~ spl0_3
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1309,f1247,f688,f1325]) ).
fof(f1247,plain,
( spl0_123
<=> ! [X17] :
( c_Message_OinvKey(X17) = X17
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1309,plain,
( v_KAB = c_Message_OinvKey(v_KAB)
| ~ spl0_3
| ~ spl0_123 ),
inference(resolution,[],[f1248,f690]) ).
fof(f1248,plain,
( ! [X17] :
( ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X17) = X17 )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1307,plain,
( spl0_134
| ~ spl0_17
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1290,f1185,f761,f1305]) ).
fof(f1305,plain,
( spl0_134
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f761,plain,
( spl0_17
<=> class_Lattices_Obounded__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1185,plain,
( spl0_108
<=> ! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Obot__class_Obot(X5),X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1290,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = X0
| ~ spl0_17
| ~ spl0_108 ),
inference(resolution,[],[f1186,f763]) ).
fof(f763,plain,
( class_Lattices_Obounded__lattice(tc_bool)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1186,plain,
( ! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Obot__class_Obot(X5),X5) = X4 )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1289,plain,
( spl0_133
| ~ spl0_36
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1134,f1070,f857,f1287]) ).
fof(f1287,plain,
( spl0_133
<=> ! [X0,X1] :
( c_Message_OinvKey(X1) != X0
| c_Message_OinvKey(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( c_Message_OinvKey(X1) != X0
| c_Message_OinvKey(X0) = X1 )
| ~ spl0_36
| ~ spl0_85 ),
inference(superposition,[],[f1071,f858]) ).
fof(f1285,plain,
spl0_132,
inference(avatar_split_clause,[],[f512,f1283]) ).
fof(f512,axiom,
! [X54,X4,X5] :
( hBOOL(hAPP(X54,X4))
| ~ hBOOL(c_in(X4,X54,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f1281,plain,
spl0_131,
inference(avatar_split_clause,[],[f511,f1279]) ).
fof(f511,axiom,
! [X54,X4,X5] :
( ~ hBOOL(hAPP(X54,X4))
| hBOOL(c_in(X4,X54,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1277,plain,
spl0_130,
inference(avatar_split_clause,[],[f363,f1275]) ).
fof(f1275,plain,
( spl0_130
<=> ! [X13,X10] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10)),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f363,axiom,
! [X10,X13] : ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X10)),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
fof(f1273,plain,
spl0_129,
inference(avatar_split_clause,[],[f354,f1271]) ).
fof(f1271,plain,
( spl0_129
<=> ! [X0,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f354,axiom,
! [X0,X17] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X17,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
fof(f1269,plain,
spl0_128,
inference(avatar_split_clause,[],[f286,f1267]) ).
fof(f1267,plain,
( spl0_128
<=> ! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f286,axiom,
! [X4,X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f1265,plain,
spl0_127,
inference(avatar_split_clause,[],[f256,f1263]) ).
fof(f1263,plain,
( spl0_127
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Olattice(X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f256,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
fof(f1261,plain,
spl0_126,
inference(avatar_split_clause,[],[f255,f1259]) ).
fof(f1259,plain,
( spl0_126
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Olattice(X5)
| c_lessequals(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f255,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Olattice(X5)
| c_lessequals(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
fof(f1257,plain,
spl0_125,
inference(avatar_split_clause,[],[f252,f1255]) ).
fof(f1255,plain,
( spl0_125
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f252,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X22,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
fof(f1253,plain,
spl0_124,
inference(avatar_split_clause,[],[f251,f1251]) ).
fof(f1251,plain,
( spl0_124
<=> ! [X22,X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f251,axiom,
! [X4,X5,X22] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X22,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
fof(f1249,plain,
spl0_123,
inference(avatar_split_clause,[],[f230,f1247]) ).
fof(f230,axiom,
! [X17] :
( c_Message_OinvKey(X17) = X17
| ~ hBOOL(c_in(X17,c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f1245,plain,
spl0_122,
inference(avatar_split_clause,[],[f227,f1243]) ).
fof(f227,axiom,
! [X2,X34] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X34),X2,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
fof(f1241,plain,
spl0_121,
inference(avatar_split_clause,[],[f225,f1239]) ).
fof(f1239,plain,
( spl0_121
<=> ! [X2,X10] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X10),X2,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f225,axiom,
! [X2,X10] : c_Message_OkeysFor(X2) = c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X10),X2,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
fof(f1237,plain,
spl0_120,
inference(avatar_split_clause,[],[f224,f1235]) ).
fof(f1235,plain,
( spl0_120
<=> ! [X13,X18,X10] : hAPP(c_Public_OshrK,X10) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f224,axiom,
! [X10,X18,X13] : hAPP(c_Public_OshrK,X10) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X13),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
fof(f1233,plain,
spl0_119,
inference(avatar_split_clause,[],[f124,f1231]) ).
fof(f1231,plain,
( spl0_119
<=> ! [X5,X10] : hBOOL(c_in(c_List_Olist_ONil(X5),c_List_Olists(X10,X5),tc_List_Olist(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f124,axiom,
! [X10,X5] : hBOOL(c_in(c_List_Olist_ONil(X5),c_List_Olists(X10,X5),tc_List_Olist(X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lists_ONil_0) ).
fof(f1229,plain,
spl0_118,
inference(avatar_split_clause,[],[f114,f1227]) ).
fof(f1227,plain,
( spl0_118
<=> ! [X16] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X16),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f114,axiom,
! [X16] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X16),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
fof(f1225,plain,
spl0_117,
inference(avatar_split_clause,[],[f93,f1223]) ).
fof(f93,axiom,
! [X11,X6,X5] : c_lessequals(X11,c_Set_Oinsert(X6,X11,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f1221,plain,
spl0_116,
inference(avatar_split_clause,[],[f64,f1219]) ).
fof(f1219,plain,
( spl0_116
<=> ! [X5,X10] : c_lessequals(X10,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f64,axiom,
! [X10,X5] : c_lessequals(X10,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
fof(f1217,plain,
( spl0_115
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1213,f1209,f1205,f1215]) ).
fof(f1215,plain,
( spl0_115
<=> ! [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_115])]) ).
fof(f1209,plain,
( spl0_114
<=> ! [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_114])]) ).
fof(f1213,plain,
( ! [X0] : ~ hBOOL(c_in(X0,c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg))
| ~ spl0_113
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1212,f640]) ).
fof(f1212,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_113
| ~ spl0_114 ),
inference(forward_demodulation,[],[f1210,f1206]) ).
fof(f1210,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_114 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1211,plain,
spl0_114,
inference(avatar_split_clause,[],[f55,f1209]) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
fof(f1207,plain,
spl0_113,
inference(avatar_split_clause,[],[f47,f1205]) ).
fof(f1203,plain,
spl0_112,
inference(avatar_split_clause,[],[f45,f1201]) ).
fof(f1201,plain,
( spl0_112
<=> ! [X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f45,axiom,
! [X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Otop__class_Otop(X5) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__bot__eq_0) ).
fof(f1199,plain,
spl0_111,
inference(avatar_split_clause,[],[f37,f1197]) ).
fof(f1197,plain,
( spl0_111
<=> ! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f37,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
fof(f1195,plain,
spl0_110,
inference(avatar_split_clause,[],[f34,f1193]) ).
fof(f1193,plain,
( spl0_110
<=> ! [X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Obot__class_Obot(X5) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f34,axiom,
! [X5] :
( ~ class_Lattices_Oboolean__algebra(X5)
| c_Orderings_Obot__class_Obot(X5) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
fof(f1191,plain,
spl0_109,
inference(avatar_split_clause,[],[f31,f1189]) ).
fof(f1189,plain,
( spl0_109
<=> ! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X5),X4,X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f31,axiom,
! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X5),X4,X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
fof(f1187,plain,
spl0_108,
inference(avatar_split_clause,[],[f30,f1185]) ).
fof(f30,axiom,
! [X4,X5] :
( ~ class_Lattices_Obounded__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Obot__class_Obot(X5),X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
fof(f1183,plain,
spl0_107,
inference(avatar_split_clause,[],[f27,f1181]) ).
fof(f27,axiom,
! [X10,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Set_Oinsert(X6,X10,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
fof(f1179,plain,
spl0_106,
inference(avatar_split_clause,[],[f25,f1177]) ).
fof(f1177,plain,
( spl0_106
<=> ! [X5,X10] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X10,tc_fun(X5,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f25,axiom,
! [X10,X5] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X10,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f1175,plain,
( spl0_105
| ~ spl0_16
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1138,f1078,f756,f1173]) ).
fof(f1173,plain,
( spl0_105
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f756,plain,
( spl0_16
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1078,plain,
( spl0_87
<=> ! [X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1138,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool) = X0
| ~ spl0_16
| ~ spl0_87 ),
inference(resolution,[],[f1079,f758]) ).
fof(f758,plain,
( class_Lattices_Oupper__semilattice(tc_bool)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1079,plain,
( ! [X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X5) = X4 )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1171,plain,
( spl0_102
| spl0_104 ),
inference(avatar_split_clause,[],[f543,f1168,f1156]) ).
fof(f543,axiom,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f1166,plain,
( spl0_102
| spl0_7 ),
inference(avatar_split_clause,[],[f546,f707,f1156]) ).
fof(f707,plain,
( spl0_7
<=> v_B = v_Ba ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f546,axiom,
( v_B = v_Ba
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f1165,plain,
( spl0_103
| ~ spl0_8
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1160,f1156,f712,f1162]) ).
fof(f1160,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_8
| ~ spl0_102 ),
inference(forward_demodulation,[],[f1158,f714]) ).
fof(f1158,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,plain,
( spl0_102
| spl0_33 ),
inference(avatar_split_clause,[],[f540,f839,f1156]) ).
fof(f540,axiom,
( v_A = v_Aa
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1152,plain,
( spl0_101
| ~ spl0_9
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1137,f1078,f721,f1150]) ).
fof(f1150,plain,
( spl0_101
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f721,plain,
( spl0_9
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1137,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_9
| ~ spl0_87 ),
inference(resolution,[],[f1079,f723]) ).
fof(f723,plain,
( class_Lattices_Oupper__semilattice(tc_nat)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f1133,plain,
spl0_100,
inference(avatar_split_clause,[],[f531,f1131]) ).
fof(f1131,plain,
( spl0_100
<=> ! [X48,X47,X50,X49,X46] : c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_OSays(X49,X50,X46) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f531,axiom,
! [X50,X48,X46,X49,X47] : c_Event_Oevent_ONotes(X47,X48) != c_Event_Oevent_OSays(X49,X50,X46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
fof(f1129,plain,
spl0_99,
inference(avatar_split_clause,[],[f510,f1127]) ).
fof(f510,axiom,
! [X62,X63] :
( X62 = X63
| c_Message_Omsg_ONonce(X63) != c_Message_Omsg_ONonce(X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
fof(f1125,plain,
spl0_98,
inference(avatar_split_clause,[],[f463,f1123]) ).
fof(f1123,plain,
( spl0_98
<=> ! [X45,X47] :
( X45 = X47
| c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OAgent(X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f463,axiom,
! [X47,X45] :
( X45 = X47
| c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OAgent(X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
fof(f1121,plain,
spl0_97,
inference(avatar_split_clause,[],[f419,f1119]) ).
fof(f1119,plain,
( spl0_97
<=> ! [X4,X5] : hBOOL(c_in(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f419,axiom,
! [X4,X5] : hBOOL(c_in(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
fof(f1117,plain,
spl0_96,
inference(avatar_split_clause,[],[f407,f1115]) ).
fof(f1115,plain,
( spl0_96
<=> ! [X48,X47,X50,X49,X46] : c_Event_Oevent_OGets(X47,X48) != c_Event_Oevent_OSays(X49,X50,X46) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f407,axiom,
! [X50,X48,X46,X49,X47] : c_Event_Oevent_OGets(X47,X48) != c_Event_Oevent_OSays(X49,X50,X46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
fof(f1113,plain,
spl0_95,
inference(avatar_split_clause,[],[f405,f1111]) ).
fof(f1111,plain,
( spl0_95
<=> ! [X13,X18,X10] : hAPP(c_Public_OshrK,X10) != hAPP(c_Public_OpublicKey(X13),X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f405,axiom,
! [X10,X18,X13] : hAPP(c_Public_OshrK,X10) != hAPP(c_Public_OpublicKey(X13),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
fof(f1109,plain,
spl0_94,
inference(avatar_split_clause,[],[f391,f1107]) ).
fof(f1107,plain,
( spl0_94
<=> ! [X13,X10] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X10),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f391,axiom,
! [X10,X13] : ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(X13),X10),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
fof(f1105,plain,
spl0_93,
inference(avatar_split_clause,[],[f388,f1102]) ).
fof(f1102,plain,
( spl0_93
<=> 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_93])]) ).
fof(f388,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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).
fof(f1100,plain,
spl0_92,
inference(avatar_split_clause,[],[f356,f1098]) ).
fof(f1098,plain,
( spl0_92
<=> ! [X16] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X16)),c_Event_Oused(X16),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f356,axiom,
! [X16] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X16)),c_Event_Oused(X16),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__supply1_0) ).
fof(f1096,plain,
spl0_91,
inference(avatar_split_clause,[],[f355,f1094]) ).
fof(f355,axiom,
! [X34] : ~ hBOOL(c_in(c_Message_Omsg_ONonce(X34),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
fof(f1092,plain,
spl0_90,
inference(avatar_split_clause,[],[f331,f1090]) ).
fof(f1090,plain,
( spl0_90
<=> ! [X10] : hAPP(c_Public_OshrK,X10) = c_Message_OinvKey(hAPP(c_Public_OshrK,X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f331,axiom,
! [X10] : hAPP(c_Public_OshrK,X10) = c_Message_OinvKey(hAPP(c_Public_OshrK,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
fof(f1088,plain,
spl0_89,
inference(avatar_split_clause,[],[f307,f1086]) ).
fof(f1086,plain,
( spl0_89
<=> ! [X4,X5,X10] : hBOOL(c_in(X4,c_Set_Oinsert(X4,X10,X5),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f307,axiom,
! [X10,X4,X5] : hBOOL(c_in(X4,c_Set_Oinsert(X4,X10,X5),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f1084,plain,
spl0_88,
inference(avatar_split_clause,[],[f199,f1082]) ).
fof(f1082,plain,
( spl0_88
<=> ! [X2] : c_lessequals(c_Message_Oanalz(X2),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f199,axiom,
! [X2] : c_lessequals(c_Message_Oanalz(X2),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
fof(f1080,plain,
spl0_87,
inference(avatar_split_clause,[],[f127,f1078]) ).
fof(f127,axiom,
! [X4,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X4,X4,X5) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
fof(f1076,plain,
spl0_86,
inference(avatar_split_clause,[],[f126,f1074]) ).
fof(f1074,plain,
( spl0_86
<=> ! [X5,X10] : c_Lattices_Oupper__semilattice__class_Osup(X10,X10,tc_fun(X5,tc_bool)) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f126,axiom,
! [X10,X5] : c_Lattices_Oupper__semilattice__class_Osup(X10,X10,tc_fun(X5,tc_bool)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f1072,plain,
spl0_85,
inference(avatar_split_clause,[],[f115,f1070]) ).
fof(f115,axiom,
! [X17,X24] :
( X17 = X24
| c_Message_OinvKey(X17) != c_Message_OinvKey(X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f1068,plain,
spl0_84,
inference(avatar_split_clause,[],[f18,f1066]) ).
fof(f1066,plain,
( spl0_84
<=> ! [X9,X5,X8] : c_Fun_Oinj__on(X8,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f18,axiom,
! [X8,X9,X5] : c_Fun_Oinj__on(X8,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
fof(f1064,plain,
spl0_83,
inference(avatar_split_clause,[],[f5,f1062]) ).
fof(f1062,plain,
( spl0_83
<=> ! [X6,X5] : ~ hBOOL(c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f5,axiom,
! [X6,X5] : ~ hBOOL(c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f1053,plain,
spl0_82,
inference(avatar_split_clause,[],[f620,f1051]) ).
fof(f1051,plain,
( spl0_82
<=> ! [X5,X0,X1] :
( X0 = X1
| ~ c_fequal(X0,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f620,axiom,
! [X0,X1,X5] :
( X0 = X1
| ~ c_fequal(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f1049,plain,
spl0_81,
inference(avatar_split_clause,[],[f526,f1047]) ).
fof(f1047,plain,
( spl0_81
<=> ! [X66,X67,X63] : hAPP(c_Message_Omsg_OKey,X63) != c_Message_Omsg_OMPair(X66,X67) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f526,axiom,
! [X63,X66,X67] : hAPP(c_Message_Omsg_OKey,X63) != c_Message_Omsg_OMPair(X66,X67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
fof(f1045,plain,
spl0_80,
inference(avatar_split_clause,[],[f524,f1043]) ).
fof(f1043,plain,
( spl0_80
<=> ! [X70,X48,X69,X62] : c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OMPair(X69,X70) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f524,axiom,
! [X48,X70,X69,X62] : c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_OMPair(X69,X70),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
fof(f1041,plain,
spl0_79,
inference(avatar_split_clause,[],[f483,f1039]) ).
fof(f1039,plain,
( spl0_79
<=> ! [X48,X62,X63] : c_Message_Omsg_OCrypt(X62,X48) != hAPP(c_Message_Omsg_OKey,X63) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f483,axiom,
! [X48,X62,X63] : c_Message_Omsg_OCrypt(X62,X48) != hAPP(c_Message_Omsg_OKey,X63),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
fof(f1037,plain,
spl0_78,
inference(avatar_split_clause,[],[f462,f1035]) ).
fof(f1035,plain,
( spl0_78
<=> ! [X0] : hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f462,axiom,
! [X0] : hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
fof(f1033,plain,
spl0_77,
inference(avatar_split_clause,[],[f428,f1031]) ).
fof(f1031,plain,
( spl0_77
<=> ! [X4,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f428,axiom,
! [X4,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
fof(f1029,plain,
spl0_76,
inference(avatar_split_clause,[],[f401,f1027]) ).
fof(f1027,plain,
( spl0_76
<=> ! [X45,X48,X46,X47] : c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_ONotes(X47,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f401,axiom,
! [X48,X46,X47,X45] : c_Event_Oevent_OGets(X45,X46) != c_Event_Oevent_ONotes(X47,X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
fof(f1025,plain,
spl0_75,
inference(avatar_split_clause,[],[f327,f1023]) ).
fof(f1023,plain,
( spl0_75
<=> ! [X2] : c_lessequals(X2,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f327,axiom,
! [X2] : c_lessequals(X2,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
fof(f1021,plain,
spl0_74,
inference(avatar_split_clause,[],[f268,f1019]) ).
fof(f1019,plain,
( spl0_74
<=> ! [X20,X5,X21] : c_List_Olist_ONil(X5) != c_List_Olist_OCons(X20,X21,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f268,axiom,
! [X21,X5,X20] : c_List_Olist_ONil(X5) != c_List_Olist_OCons(X20,X21,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
fof(f1017,plain,
spl0_73,
inference(avatar_split_clause,[],[f231,f1014]) ).
fof(f1014,plain,
( spl0_73
<=> 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_73])]) ).
fof(f231,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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
fof(f1012,plain,
spl0_72,
inference(avatar_split_clause,[],[f202,f1010]) ).
fof(f1010,plain,
( spl0_72
<=> ! [X2,X10] : hBOOL(c_in(c_Message_Omsg_OAgent(X10),c_Message_Osynth(X2),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f202,axiom,
! [X2,X10] : hBOOL(c_in(c_Message_Omsg_OAgent(X10),c_Message_Osynth(X2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
fof(f1008,plain,
spl0_71,
inference(avatar_split_clause,[],[f135,f1006]) ).
fof(f1006,plain,
( spl0_71
<=> ! [X2] : c_lessequals(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f135,axiom,
! [X2] : c_lessequals(X2,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
fof(f1004,plain,
spl0_70,
inference(avatar_split_clause,[],[f87,f1002]) ).
fof(f1002,plain,
( spl0_70
<=> ! [X2] : c_lessequals(X2,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f87,axiom,
! [X2] : c_lessequals(X2,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
fof(f1000,plain,
spl0_69,
inference(avatar_split_clause,[],[f63,f998]) ).
fof(f998,plain,
( spl0_69
<=> ! [X4,X5] :
( ~ class_Orderings_Otop(X5)
| c_lessequals(X4,c_Orderings_Otop__class_Otop(X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f63,axiom,
! [X4,X5] :
( ~ class_Orderings_Otop(X5)
| c_lessequals(X4,c_Orderings_Otop__class_Otop(X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
fof(f996,plain,
spl0_68,
inference(avatar_split_clause,[],[f61,f994]) ).
fof(f994,plain,
( spl0_68
<=> ! [X4,X5,X10] : hBOOL(hAPP(c_Set_Oinsert(X4,X10,X5),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f61,axiom,
! [X10,X4,X5] : hBOOL(hAPP(c_Set_Oinsert(X4,X10,X5),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f992,plain,
spl0_67,
inference(avatar_split_clause,[],[f36,f990]) ).
fof(f990,plain,
( spl0_67
<=> ! [X4,X5] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f36,axiom,
! [X4,X5] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f988,plain,
spl0_66,
inference(avatar_split_clause,[],[f26,f986]) ).
fof(f986,plain,
( spl0_66
<=> ! [X4,X5] :
( ~ class_Orderings_Obot(X5)
| c_lessequals(c_Orderings_Obot__class_Obot(X5),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f26,axiom,
! [X4,X5] :
( ~ class_Orderings_Obot(X5)
| c_lessequals(c_Orderings_Obot__class_Obot(X5),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
fof(f977,plain,
spl0_65,
inference(avatar_split_clause,[],[f601,f975]) ).
fof(f975,plain,
( spl0_65
<=> ! [X80,X81] :
( ~ class_HOL_Oord(X81)
| class_HOL_Oord(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f601,axiom,
! [X80,X81] :
( ~ class_HOL_Oord(X81)
| class_HOL_Oord(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
fof(f973,plain,
spl0_64,
inference(avatar_split_clause,[],[f600,f971]) ).
fof(f971,plain,
( spl0_64
<=> ! [X80,X81] :
( ~ class_HOL_Ouminus(X81)
| class_HOL_Ouminus(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f600,axiom,
! [X80,X81] :
( ~ class_HOL_Ouminus(X81)
| class_HOL_Ouminus(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Ouminus) ).
fof(f969,plain,
spl0_63,
inference(avatar_split_clause,[],[f599,f967]) ).
fof(f967,plain,
( spl0_63
<=> ! [X80,X81] :
( ~ class_Orderings_Obot(X81)
| class_Orderings_Obot(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f599,axiom,
! [X80,X81] :
( ~ class_Orderings_Obot(X81)
| class_Orderings_Obot(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
fof(f965,plain,
spl0_62,
inference(avatar_split_clause,[],[f598,f963]) ).
fof(f963,plain,
( spl0_62
<=> ! [X80,X81] :
( ~ class_Orderings_Otop(X81)
| class_Orderings_Otop(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f598,axiom,
! [X80,X81] :
( ~ class_Orderings_Otop(X81)
| class_Orderings_Otop(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
fof(f961,plain,
spl0_61,
inference(avatar_split_clause,[],[f597,f959]) ).
fof(f959,plain,
( spl0_61
<=> ! [X80,X81] :
( ~ class_Orderings_Oorder(X81)
| class_Orderings_Oorder(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f597,axiom,
! [X80,X81] :
( ~ class_Orderings_Oorder(X81)
| class_Orderings_Oorder(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
fof(f957,plain,
spl0_60,
inference(avatar_split_clause,[],[f596,f955]) ).
fof(f955,plain,
( spl0_60
<=> ! [X80,X81] :
( ~ class_Lattices_Olattice(X81)
| class_Lattices_Olattice(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f596,axiom,
! [X80,X81] :
( ~ class_Lattices_Olattice(X81)
| class_Lattices_Olattice(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
fof(f953,plain,
spl0_59,
inference(avatar_split_clause,[],[f595,f951]) ).
fof(f951,plain,
( spl0_59
<=> ! [X80,X81] :
( ~ class_Orderings_Opreorder(X81)
| class_Orderings_Opreorder(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f595,axiom,
! [X80,X81] :
( ~ class_Orderings_Opreorder(X81)
| class_Orderings_Opreorder(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
fof(f949,plain,
spl0_58,
inference(avatar_split_clause,[],[f594,f947]) ).
fof(f947,plain,
( spl0_58
<=> ! [X80,X81] :
( ~ class_Lattices_Oboolean__algebra(X81)
| class_Lattices_Oboolean__algebra(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f594,axiom,
! [X80,X81] :
( ~ class_Lattices_Oboolean__algebra(X81)
| class_Lattices_Oboolean__algebra(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
fof(f945,plain,
spl0_57,
inference(avatar_split_clause,[],[f593,f943]) ).
fof(f943,plain,
( spl0_57
<=> ! [X80,X81] :
( ~ class_Lattices_Obounded__lattice(X81)
| class_Lattices_Obounded__lattice(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f593,axiom,
! [X80,X81] :
( ~ class_Lattices_Obounded__lattice(X81)
| class_Lattices_Obounded__lattice(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f941,plain,
spl0_56,
inference(avatar_split_clause,[],[f592,f939]) ).
fof(f939,plain,
( spl0_56
<=> ! [X80,X81] :
( ~ class_Lattices_Olattice(X81)
| class_Lattices_Oupper__semilattice(tc_fun(X80,X81)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f592,axiom,
! [X80,X81] :
( ~ class_Lattices_Olattice(X81)
| class_Lattices_Oupper__semilattice(tc_fun(X80,X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f937,plain,
spl0_55,
inference(avatar_split_clause,[],[f513,f935]) ).
fof(f935,plain,
( spl0_55
<=> ! [X48,X62,X63] : c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_ONonce(X63) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f513,axiom,
! [X48,X62,X63] : c_Message_Omsg_OCrypt(X62,X48) != c_Message_Omsg_ONonce(X63),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
fof(f933,plain,
spl0_54,
inference(avatar_split_clause,[],[f506,f931]) ).
fof(f931,plain,
( spl0_54
<=> ! [X45,X62] : c_Message_Omsg_OAgent(X45) != hAPP(c_Message_Omsg_OKey,X62) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f506,axiom,
! [X45,X62] : c_Message_Omsg_OAgent(X45) != hAPP(c_Message_Omsg_OKey,X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
fof(f929,plain,
spl0_53,
inference(avatar_split_clause,[],[f504,f927]) ).
fof(f927,plain,
( spl0_53
<=> ! [X45,X48,X62] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OCrypt(X62,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f504,axiom,
! [X48,X45,X62] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OCrypt(X62,X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
fof(f925,plain,
spl0_52,
inference(avatar_split_clause,[],[f501,f923]) ).
fof(f923,plain,
( spl0_52
<=> ! [X66,X67,X63] : c_Message_Omsg_ONonce(X63) != c_Message_Omsg_OMPair(X66,X67) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f501,axiom,
! [X63,X66,X67] : c_Message_Omsg_ONonce(X63) != c_Message_Omsg_OMPair(X66,X67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
fof(f921,plain,
spl0_51,
inference(avatar_split_clause,[],[f486,f919]) ).
fof(f919,plain,
( spl0_51
<=> ! [X45,X66,X67] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OMPair(X66,X67) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f486,axiom,
! [X45,X66,X67] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_OMPair(X66,X67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
fof(f917,plain,
spl0_50,
inference(avatar_split_clause,[],[f472,f915]) ).
fof(f915,plain,
( spl0_50
<=> ! [X62,X63] : c_Message_Omsg_ONonce(X63) != hAPP(c_Message_Omsg_OKey,X62) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f472,axiom,
! [X62,X63] : c_Message_Omsg_ONonce(X63) != hAPP(c_Message_Omsg_OKey,X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
fof(f913,plain,
spl0_49,
inference(avatar_split_clause,[],[f465,f911]) ).
fof(f911,plain,
( spl0_49
<=> ! [X2] : c_Message_Oanalz(X2) = c_Message_Oanalz(c_Message_Oanalz(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f465,axiom,
! [X2] : c_Message_Oanalz(X2) = c_Message_Oanalz(c_Message_Oanalz(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
fof(f909,plain,
spl0_48,
inference(avatar_split_clause,[],[f430,f907]) ).
fof(f907,plain,
( spl0_48
<=> ! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oparts(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f430,axiom,
! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oparts(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
fof(f905,plain,
spl0_47,
inference(avatar_split_clause,[],[f420,f903]) ).
fof(f903,plain,
( spl0_47
<=> ! [X4,X5,X14] : c_List_Olist_OCons(X4,X14,X5) != X14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f420,axiom,
! [X14,X4,X5] : c_List_Olist_OCons(X4,X14,X5) != X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f901,plain,
spl0_46,
inference(avatar_split_clause,[],[f412,f899]) ).
fof(f412,axiom,
! [X2] : c_Message_Oparts(X2) = c_Message_Oparts(c_Message_Oanalz(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
fof(f897,plain,
spl0_45,
inference(avatar_split_clause,[],[f411,f895]) ).
fof(f895,plain,
( spl0_45
<=> ! [X2] : c_Message_Oparts(X2) = c_Message_Oanalz(c_Message_Oparts(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f411,axiom,
! [X2] : c_Message_Oparts(X2) = c_Message_Oanalz(c_Message_Oparts(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
fof(f893,plain,
spl0_44,
inference(avatar_split_clause,[],[f277,f891]) ).
fof(f891,plain,
( spl0_44
<=> ! [X2] : c_Message_Osynth(X2) = c_Message_Osynth(c_Message_Osynth(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f277,axiom,
! [X2] : c_Message_Osynth(X2) = c_Message_Osynth(c_Message_Osynth(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
fof(f889,plain,
spl0_43,
inference(avatar_split_clause,[],[f153,f887]) ).
fof(f887,plain,
( spl0_43
<=> ! [X4,X5] :
( ~ class_Orderings_Opreorder(X5)
| c_lessequals(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f153,axiom,
! [X4,X5] :
( ~ class_Orderings_Opreorder(X5)
| c_lessequals(X4,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
fof(f885,plain,
spl0_42,
inference(avatar_split_clause,[],[f152,f883]) ).
fof(f883,plain,
( spl0_42
<=> ! [X4,X5] :
( ~ class_Orderings_Oorder(X5)
| c_lessequals(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f152,axiom,
! [X4,X5] :
( ~ class_Orderings_Oorder(X5)
| c_lessequals(X4,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
fof(f881,plain,
spl0_41,
inference(avatar_split_clause,[],[f148,f879]) ).
fof(f148,axiom,
! [X10,X5] : c_lessequals(X10,X10,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
fof(f877,plain,
( spl0_40
| ~ spl0_8
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f855,f836,f712,f875]) ).
fof(f875,plain,
( spl0_40
<=> ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_KAB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f836,plain,
( spl0_32
<=> ! [X71] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X71,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f855,plain,
( ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_KAB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_8
| ~ spl0_32 ),
inference(superposition,[],[f837,f714]) ).
fof(f837,plain,
( ! [X71] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X71,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f873,plain,
~ spl0_39,
inference(avatar_split_clause,[],[f529,f870]) ).
fof(f870,plain,
( spl0_39
<=> hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f529,axiom,
~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
fof(f868,plain,
spl0_38,
inference(avatar_split_clause,[],[f518,f866]) ).
fof(f866,plain,
( spl0_38
<=> ! [X45,X62] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_ONonce(X62) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f518,axiom,
! [X45,X62] : c_Message_Omsg_OAgent(X45) != c_Message_Omsg_ONonce(X62),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
fof(f864,plain,
spl0_37,
inference(avatar_split_clause,[],[f479,f861]) ).
fof(f861,plain,
( spl0_37
<=> hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f479,axiom,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
fof(f859,plain,
spl0_36,
inference(avatar_split_clause,[],[f59,f857]) ).
fof(f59,axiom,
! [X17] : c_Message_OinvKey(c_Message_OinvKey(X17)) = X17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f854,plain,
( spl0_34
| spl0_35
| ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f634,f712,f703,f850,f845]) ).
fof(f850,plain,
( spl0_35
<=> v_KAB = hAPP(c_Public_OshrK,v_Ba) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f634,plain,
( v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_KAB = hAPP(c_Public_OshrK,v_Ba)
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f587,axiom,
( v_KAB = v_K
| v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_KAB = hAPP(c_Public_OshrK,v_Ba)
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_53) ).
fof(f853,plain,
( ~ spl0_6
| ~ spl0_35
| spl0_8 ),
inference(avatar_split_clause,[],[f638,f712,f850,f703]) ).
fof(f638,plain,
( v_KAB = v_K
| v_KAB != hAPP(c_Public_OshrK,v_Ba)
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(duplicate_literal_removal,[],[f574]) ).
fof(f574,axiom,
( v_KAB = v_K
| v_KAB = v_K
| v_KAB != hAPP(c_Public_OshrK,v_Ba)
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_40) ).
fof(f848,plain,
( ~ spl0_6
| ~ spl0_34
| spl0_8 ),
inference(avatar_split_clause,[],[f636,f712,f845,f703]) ).
fof(f636,plain,
( v_KAB = v_K
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(duplicate_literal_removal,[],[f579]) ).
fof(f579,axiom,
( v_KAB = v_K
| v_KAB = v_K
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_45) ).
fof(f843,plain,
( ~ spl0_6
| spl0_8
| spl0_27
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f717,f707,f683,f811,f712,f703]) ).
fof(f811,plain,
( spl0_27
<=> v_KAB = hAPP(c_Public_OshrK,v_B) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f717,plain,
( hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent))
| v_KAB = hAPP(c_Public_OshrK,v_B)
| v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f716,f709]) ).
fof(f709,plain,
( v_B = v_Ba
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f716,plain,
( v_KAB = hAPP(c_Public_OshrK,v_B)
| v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f634,f709]) ).
fof(f842,plain,
( spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f541,f839,f836]) ).
fof(f541,axiom,
! [X71] :
( v_A = v_Aa
| ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X71,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f834,plain,
( spl0_31
| ~ spl0_7
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f829,f825,f707,f831]) ).
fof(f831,plain,
( spl0_31
<=> hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f825,plain,
( spl0_30
<=> hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f829,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f827,f709]) ).
fof(f827,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f828,plain,
spl0_30,
inference(avatar_split_clause,[],[f539,f825]) ).
fof(f539,axiom,
hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f823,plain,
spl0_29,
inference(avatar_split_clause,[],[f619,f821]) ).
fof(f821,plain,
( spl0_29
<=> ! [X4,X5] : c_fequal(X4,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f619,axiom,
! [X4,X5] : c_fequal(X4,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f819,plain,
spl0_28,
inference(avatar_split_clause,[],[f86,f816]) ).
fof(f816,plain,
( spl0_28
<=> hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f86,axiom,
hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
fof(f814,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_27
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f719,f707,f811,f712,f703]) ).
fof(f719,plain,
( v_KAB != hAPP(c_Public_OshrK,v_B)
| v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f638,f709]) ).
fof(f809,plain,
~ spl0_26,
inference(avatar_split_clause,[],[f522,f806]) ).
fof(f806,plain,
( spl0_26
<=> c_Message_Oagent_OSpy = c_Message_Oagent_OServer ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f522,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
fof(f804,plain,
spl0_25,
inference(avatar_split_clause,[],[f618,f801]) ).
fof(f801,plain,
( spl0_25
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f618,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
fof(f799,plain,
spl0_24,
inference(avatar_split_clause,[],[f617,f796]) ).
fof(f796,plain,
( spl0_24
<=> class_HOL_Ouminus(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f617,axiom,
class_HOL_Ouminus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ouminus) ).
fof(f794,plain,
spl0_23,
inference(avatar_split_clause,[],[f616,f791]) ).
fof(f616,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
fof(f789,plain,
spl0_22,
inference(avatar_split_clause,[],[f615,f786]) ).
fof(f786,plain,
( spl0_22
<=> class_Orderings_Otop(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f615,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
fof(f784,plain,
spl0_21,
inference(avatar_split_clause,[],[f614,f781]) ).
fof(f781,plain,
( spl0_21
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f614,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f779,plain,
spl0_20,
inference(avatar_split_clause,[],[f613,f776]) ).
fof(f776,plain,
( spl0_20
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f613,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f774,plain,
spl0_19,
inference(avatar_split_clause,[],[f612,f771]) ).
fof(f771,plain,
( spl0_19
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f612,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f769,plain,
spl0_18,
inference(avatar_split_clause,[],[f611,f766]) ).
fof(f766,plain,
( spl0_18
<=> class_Lattices_Oboolean__algebra(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f611,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f764,plain,
spl0_17,
inference(avatar_split_clause,[],[f610,f761]) ).
fof(f610,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f759,plain,
spl0_16,
inference(avatar_split_clause,[],[f609,f756]) ).
fof(f609,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f754,plain,
spl0_15,
inference(avatar_split_clause,[],[f608,f751]) ).
fof(f751,plain,
( spl0_15
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f608,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
fof(f749,plain,
spl0_14,
inference(avatar_split_clause,[],[f607,f746]) ).
fof(f746,plain,
( spl0_14
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f607,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
fof(f744,plain,
spl0_13,
inference(avatar_split_clause,[],[f606,f741]) ).
fof(f741,plain,
( spl0_13
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f606,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f739,plain,
spl0_12,
inference(avatar_split_clause,[],[f605,f736]) ).
fof(f736,plain,
( spl0_12
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f605,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f734,plain,
spl0_11,
inference(avatar_split_clause,[],[f604,f731]) ).
fof(f731,plain,
( spl0_11
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f604,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f729,plain,
spl0_10,
inference(avatar_split_clause,[],[f603,f726]) ).
fof(f726,plain,
( spl0_10
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f603,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f724,plain,
spl0_9,
inference(avatar_split_clause,[],[f602,f721]) ).
fof(f602,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(f715,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f557,f712,f703]) ).
fof(f557,axiom,
( v_KAB = v_K
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_23) ).
fof(f710,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f554,f707,f703]) ).
fof(f554,axiom,
( v_B = v_Ba
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_20) ).
fof(f701,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f537,f698]) ).
fof(f537,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f696,plain,
spl0_4,
inference(avatar_split_clause,[],[f536,f693]) ).
fof(f536,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f691,plain,
spl0_3,
inference(avatar_split_clause,[],[f538,f688]) ).
fof(f538,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f686,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f535,f683]) ).
fof(f535,axiom,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f681,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f534,f678]) ).
fof(f534,axiom,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV748-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 21:07:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (11816)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (11819)WARNING: value z3 for option sas not known
% 0.22/0.41 % (11820)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.42 % (11818)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.42 % (11817)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.42 % (11821)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.42 % (11822)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.42 % (11823)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.42 % (11819)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)
% 1.48/0.60 TRYING [1]
% 1.65/0.61 TRYING [2]
% 1.81/0.70 % (11821)First to succeed.
% 1.81/0.72 % (11821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11816"
% 2.43/0.72 % (11821)Refutation found. Thanks to Tanya!
% 2.43/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.43/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.73 % (11821)------------------------------
% 2.43/0.73 % (11821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.43/0.73 % (11821)Termination reason: Refutation
% 2.43/0.73
% 2.43/0.73 % (11821)Memory used [KB]: 5548
% 2.43/0.73 % (11821)Time elapsed: 0.304 s
% 2.43/0.73 % (11821)Instructions burned: 644 (million)
% 2.43/0.73 % (11816)Success in time 0.349 s
%------------------------------------------------------------------------------