TSTP Solution File: SWV343-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV343-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.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 : Wed Aug 31 18:56:29 EDT 2022
% Result : Unsatisfiable 28.03s 4.00s
% Output : Refutation 28.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 960
% Syntax : Number of formulae : 2541 ( 497 unt; 0 def)
% Number of atoms : 6425 ( 948 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 7211 (3327 ~;3439 |; 0 &)
% ( 445 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 511 ( 509 usr; 446 prp; 0-3 aty)
% Number of functors : 188 ( 188 usr; 63 con; 0-6 aty)
% Number of variables : 3435 (3435 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14116,plain,
$false,
inference(avatar_smt_refutation,[],[f3216,f3221,f3226,f3231,f3236,f3241,f3246,f3251,f3256,f3261,f3266,f3271,f3276,f3282,f3287,f3292,f3297,f3302,f3307,f3311,f3316,f3324,f3329,f3334,f3339,f3344,f3351,f3356,f3361,f3366,f3371,f3376,f3381,f3386,f3391,f3397,f3402,f3407,f3412,f3417,f3422,f3427,f3432,f3437,f3442,f3447,f3452,f3457,f3462,f3467,f3472,f3477,f3482,f3487,f3492,f3497,f3502,f3507,f3512,f3517,f3522,f3527,f3532,f3538,f3543,f3548,f3553,f3558,f3563,f3568,f3573,f3578,f3583,f3590,f3595,f3611,f3615,f3619,f3623,f3628,f3632,f3636,f3641,f3646,f3652,f3658,f3663,f3668,f3673,f3678,f3683,f3684,f3689,f3694,f3700,f3706,f3707,f3712,f3717,f3722,f3727,f3732,f3737,f3742,f3747,f3752,f3757,f3759,f3764,f3770,f3776,f3781,f3786,f3791,f3794,f3795,f3801,f3806,f3811,f3812,f3817,f3818,f3819,f3820,f3826,f3831,f3836,f3841,f3846,f3856,f3861,f3866,f3872,f3877,f3878,f3883,f3888,f3893,f3894,f3899,f3905,f3910,f3915,f3920,f3925,f3926,f3931,f3936,f3941,f3948,f3953,f3958,f3963,f3971,f3977,f3982,f3987,f3992,f3998,f4003,f4008,f4014,f4019,f4024,f4035,f4039,f4044,f4045,f4050,f4055,f4060,f4065,f4071,f4077,f4078,f4086,f4093,f4101,f4106,f4112,f4117,f4122,f4138,f4139,f4144,f4150,f4155,f4160,f4165,f4170,f4176,f4184,f4189,f4199,f4204,f4209,f4214,f4221,f4230,f4238,f4240,f4245,f4250,f4255,f4289,f4296,f4303,f4308,f4379,f4405,f4459,f4475,f4484,f4489,f4495,f4510,f4519,f4594,f4709,f4795,f4800,f4813,f4882,f4898,f4911,f4938,f5739,f5743,f5803,f7468,f7478,f7487,f7498,f7517,f7526,f7535,f7544,f7555,f7569,f7577,f7590,f7603,f7616,f7626,f7628,f7635,f7646,f7652,f7664,f7675,f7683,f7689,f7700,f7711,f7722,f7733,f7746,f7758,f7761,f7767,f7773,f7790,f7792,f7801,f7812,f7821,f7822,f7832,f7847,f7856,f7863,f7873,f7882,f7894,f7904,f7910,f7917,f7922,f7930,f7938,f7946,f7947,f7952,f7967,f7975,f7982,f7987,f7991,f8003,f8012,f8020,f8029,f8033,f8040,f8041,f8048,f8051,f8052,f8061,f8062,f8069,f8095,f8103,f8106,f8112,f8121,f8124,f8126,f8132,f8144,f8163,f8167,f8168,f8188,f8194,f8197,f8204,f8215,f8221,f8234,f8248,f8254,f8258,f8263,f8276,f8283,f8294,f8299,f8308,f8320,f8325,f8331,f8332,f8339,f8343,f8350,f8355,f8371,f8373,f8378,f8385,f8392,f8400,f8406,f8413,f8428,f8434,f8443,f8448,f8450,f8460,f8465,f8472,f8483,f8488,f8492,f8501,f8505,f8512,f8517,f8523,f8525,f8533,f8540,f8544,f8552,f8562,f8574,f8575,f8584,f8593,f8604,f8609,f8610,f8616,f8621,f8626,f8629,f8641,f8647,f8652,f8658,f8663,f8668,f8670,f8676,f8685,f8696,f8702,f8709,f8715,f8728,f8746,f8758,f8767,f8775,f8778,f8784,f8789,f8791,f8797,f8799,f8802,f8805,f8816,f8825,f8830,f8837,f8839,f8850,f8859,f8865,f8870,f8872,f8879,f8884,f8887,f8889,f8895,f8897,f8902,f8905,f8908,f8909,f8919,f8924,f8931,f8934,f8938,f8940,f8948,f8966,f8969,f8999,f9021,f9038,f9044,f9049,f9052,f9054,f9056,f9066,f9069,f9078,f9086,f9091,f9097,f9106,f9112,f9117,f9119,f9120,f9128,f9132,f9133,f9152,f9163,f9166,f9174,f9177,f9187,f9190,f9197,f9198,f9211,f9213,f9218,f9234,f9238,f9242,f9249,f9257,f9262,f9270,f9273,f9278,f9284,f9303,f9315,f9336,f9343,f9352,f9356,f9359,f9369,f9374,f9380,f9385,f9391,f9396,f9398,f9405,f9419,f9429,f9432,f9442,f9449,f9463,f9469,f9474,f9481,f9483,f9486,f9488,f9500,f9505,f9508,f9513,f9516,f9529,f9531,f9537,f9542,f9545,f9552,f9560,f9570,f9576,f9579,f9580,f9586,f9589,f9591,f9605,f9610,f9612,f9614,f9621,f9625,f9634,f9642,f9658,f12593,f12594,f12595,f12596,f12609,f12614,f12632,f12662,f12672,f12679,f12687,f12692,f12699,f12778,f12800,f12806,f12870,f12876,f12877,f12878,f12883,f12902,f12914,f12922,f12925,f12932,f12939,f12944,f12952,f12965,f13046,f13259,f13264,f13482,f13486,f13892,f13958,f13966,f13989,f13991,f13997,f13998,f14003,f14008,f14031,f14036,f14066,f14114,f14115]) ).
fof(f14115,plain,
( spl0_94
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f14108,f13994,f3686]) ).
fof(f3686,plain,
( spl0_94
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f13994,plain,
( spl0_439
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f14108,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_439 ),
inference(resolution,[],[f13996,f2774]) ).
fof(f2774,axiom,
! [X4,X102] :
( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg)
| c_in(X4,c_Event_Oused(X102),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f13996,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f13994]) ).
fof(f14114,plain,
( spl0_445
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f14109,f13994,f14111]) ).
fof(f14111,plain,
( spl0_445
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f14109,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_439 ),
inference(resolution,[],[f13996,f2870]) ).
fof(f2870,axiom,
! [X88,X86] :
( ~ c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| c_Message_Oparts(X88) = c_Message_Oparts(c_insert(X86,X88,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
fof(f14066,plain,
( spl0_444
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f14061,f4706,f14063]) ).
fof(f14063,plain,
( spl0_444
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f4706,plain,
( spl0_208
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f14061,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(forward_demodulation,[],[f14038,f2869]) ).
fof(f2869,axiom,
! [X88] : c_Message_Oparts(X88) = c_Message_Oparts(c_Message_Oanalz(X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f14038,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4980,f4708]) ).
fof(f4708,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f4706]) ).
fof(f4980,plain,
! [X18,X16,X17] :
( ~ c_in(c_Message_Omsg_OMPair(X18,X16),X17,tc_Message_Omsg)
| c_in(X16,c_Message_Oparts(X17),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f4977,f2862]) ).
fof(f2862,axiom,
! [X88] : c_Message_Oparts(X88) = c_Message_Oanalz(c_Message_Oparts(X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
fof(f4977,plain,
! [X18,X16,X17] :
( ~ c_in(c_Message_Omsg_OMPair(X18,X16),X17,tc_Message_Omsg)
| c_in(X16,c_Message_Oanalz(c_Message_Oparts(X17)),tc_Message_Omsg) ),
inference(resolution,[],[f4538,f2767]) ).
fof(f2767,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f4538,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f2833,f2847]) ).
fof(f2847,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f2833,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X87,c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f14036,plain,
( spl0_443
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f14025,f13986,f14033]) ).
fof(f14033,plain,
( spl0_443
<=> c_in(c_Message_Omsg_OAgent(v_A),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f13986,plain,
( spl0_438
<=> c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f14025,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_438 ),
inference(resolution,[],[f13988,f2774]) ).
fof(f13988,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f13986]) ).
fof(f14031,plain,
( spl0_442
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f14026,f13986,f14028]) ).
fof(f14028,plain,
( spl0_442
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_A),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f14026,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_A),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_438 ),
inference(resolution,[],[f13988,f2870]) ).
fof(f14008,plain,
( spl0_441
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13982,f13963,f14005]) ).
fof(f14005,plain,
( spl0_441
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f13963,plain,
( spl0_437
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f13982,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_437 ),
inference(resolution,[],[f13965,f2870]) ).
fof(f13965,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f13963]) ).
fof(f14003,plain,
( spl0_440
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13981,f13963,f14000]) ).
fof(f14000,plain,
( spl0_440
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f13981,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_437 ),
inference(resolution,[],[f13965,f2774]) ).
fof(f13998,plain,
( spl0_439
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13980,f13963,f13994]) ).
fof(f13980,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_437 ),
inference(resolution,[],[f13965,f2728]) ).
fof(f2728,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
| c_in(X87,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f13997,plain,
( spl0_439
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13992,f13963,f13994]) ).
fof(f13992,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_437 ),
inference(forward_demodulation,[],[f13984,f2862]) ).
fof(f13984,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_437 ),
inference(resolution,[],[f13965,f4538]) ).
fof(f13991,plain,
( spl0_438
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13990,f13963,f13986]) ).
fof(f13990,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_437 ),
inference(forward_demodulation,[],[f13983,f2862]) ).
fof(f13983,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_437 ),
inference(resolution,[],[f13965,f4541]) ).
fof(f4541,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f2834,f2847]) ).
fof(f2834,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f13989,plain,
( spl0_438
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f13979,f13963,f13986]) ).
fof(f13979,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_437 ),
inference(resolution,[],[f13965,f2729]) ).
fof(f2729,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f13966,plain,
( spl0_437
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f13961,f4792,f13963]) ).
fof(f4792,plain,
( spl0_209
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f13961,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_209 ),
inference(forward_demodulation,[],[f13932,f2869]) ).
fof(f13932,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_209 ),
inference(resolution,[],[f4829,f4794]) ).
fof(f4794,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f4792]) ).
fof(f4829,plain,
! [X2,X3,X4] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg)
| c_in(X3,c_Message_Oparts(X4),tc_Message_Omsg) ),
inference(resolution,[],[f2767,f2935]) ).
fof(f2935,axiom,
! [X91,X88,X86] :
( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oparts(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f13958,plain,
( spl0_436
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f13953,f4797,f13955]) ).
fof(f13955,plain,
( spl0_436
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f4797,plain,
( spl0_210
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f13953,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210 ),
inference(forward_demodulation,[],[f13933,f2869]) ).
fof(f13933,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_210 ),
inference(resolution,[],[f4829,f4799]) ).
fof(f4799,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f4797]) ).
fof(f13892,plain,
( spl0_435
| spl0_3
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f13874,f4293,f3828,f3223,f13890]) ).
fof(f13890,plain,
( spl0_435
<=> ! [X22] : c_Nat_Osize(c_Message_Omsg_OHash(X22),tc_Message_Omsg) != c_Nat_Osize(X22,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f3223,plain,
( spl0_3
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3828,plain,
( spl0_119
<=> c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f4293,plain,
( spl0_193
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f13874,plain,
( ! [X22] :
( c_0 = c_1
| c_Nat_Osize(c_Message_Omsg_OHash(X22),tc_Message_Omsg) != c_Nat_Osize(X22,tc_Message_Omsg) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f5113,f4446]) ).
fof(f4446,plain,
( ! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_1,tc_nat)
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4277,f4295]) ).
fof(f4295,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f4293]) ).
fof(f4277,plain,
( ! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3130,f3830]) ).
fof(f3830,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f3828]) ).
fof(f3130,plain,
! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f2764,f2544]) ).
fof(f2544,axiom,
! [X14] : c_Suc(X14) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X14,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f2764,axiom,
! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Osize__5_0) ).
fof(f5113,plain,
! [X3,X4] :
( c_plus(X3,X4,tc_nat) != X3
| c_0 = X4 ),
inference(superposition,[],[f2081,f2026]) ).
fof(f2026,axiom,
! [X3] : c_plus(X3,c_0,tc_nat) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).
fof(f2081,axiom,
! [X21,X16,X15] :
( c_plus(X16,X15,tc_nat) != c_plus(X16,X21,tc_nat)
| X15 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel_0) ).
fof(f13486,plain,
( spl0_3
| spl0_434
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f13476,f4293,f3828,f13484,f3223]) ).
fof(f13484,plain,
( spl0_434
<=> ! [X9,X8,X10] : c_Nat_Osize(X8,tc_List_Olist(X9)) != c_Nat_Osize(c_List_Olist_OCons(X10,X8,X9),tc_List_Olist(X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f13476,plain,
( ! [X10,X8,X9] :
( c_Nat_Osize(X8,tc_List_Olist(X9)) != c_Nat_Osize(c_List_Olist_OCons(X10,X8,X9),tc_List_Olist(X9))
| c_0 = c_1 )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f5113,f4447]) ).
fof(f4447,plain,
( ! [X18,X1,X64] : c_Nat_Osize(c_List_Olist_OCons(X18,X64,X1),tc_List_Olist(X1)) = c_plus(c_Nat_Osize(X64,tc_List_Olist(X1)),c_1,tc_nat)
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4278,f4295]) ).
fof(f4278,plain,
( ! [X18,X1,X64] : c_Nat_Osize(c_List_Olist_OCons(X18,X64,X1),tc_List_Olist(X1)) = c_plus(c_Nat_Osize(X64,tc_List_Olist(X1)),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3150,f3830]) ).
fof(f3150,plain,
! [X18,X1,X64] : c_Nat_Osize(c_List_Olist_OCons(X18,X64,X1),tc_List_Olist(X1)) = c_plus(c_Nat_Osize(X64,tc_List_Olist(X1)),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1627,f2544]) ).
fof(f1627,axiom,
! [X18,X1,X64] : c_Nat_Osize(c_List_Olist_OCons(X18,X64,X1),tc_List_Olist(X1)) = c_plus(c_Nat_Osize(X64,tc_List_Olist(X1)),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Osize__2_0) ).
fof(f13482,plain,
( spl0_3
| spl0_433
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f13477,f4293,f3828,f13480,f3223]) ).
fof(f13480,plain,
( spl0_433
<=> ! [X11,X12] : c_plus(c_Nat_Osize(X11,tc_Message_Omsg),c_Nat_Osize(X12,tc_Message_Omsg),tc_nat) != c_Nat_Osize(c_Message_Omsg_OMPair(X11,X12),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f13477,plain,
( ! [X11,X12] :
( c_plus(c_Nat_Osize(X11,tc_Message_Omsg),c_Nat_Osize(X12,tc_Message_Omsg),tc_nat) != c_Nat_Osize(c_Message_Omsg_OMPair(X11,X12),tc_Message_Omsg)
| c_0 = c_1 )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f5113,f4431]) ).
fof(f4431,plain,
( ! [X98,X99] : c_Nat_Osize(c_Message_Omsg_OMPair(X98,X99),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X98,tc_Message_Omsg),c_Nat_Osize(X99,tc_Message_Omsg),tc_nat),c_1,tc_nat)
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4260,f4295]) ).
fof(f4260,plain,
( ! [X98,X99] : c_Nat_Osize(c_Message_Omsg_OMPair(X98,X99),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X98,tc_Message_Omsg),c_Nat_Osize(X99,tc_Message_Omsg),tc_nat),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_119 ),
inference(backward_demodulation,[],[f2995,f3830]) ).
fof(f2995,plain,
! [X98,X99] : c_Nat_Osize(c_Message_Omsg_OMPair(X98,X99),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X98,tc_Message_Omsg),c_Nat_Osize(X99,tc_Message_Omsg),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f2765,f2544]) ).
fof(f2765,axiom,
! [X98,X99] : c_Nat_Osize(c_Message_Omsg_OMPair(X98,X99),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X98,tc_Message_Omsg),c_Nat_Osize(X99,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Osize__6_0) ).
fof(f13264,plain,
( spl0_432
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f13252,f4879,f13261]) ).
fof(f13261,plain,
( spl0_432
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f4879,plain,
( spl0_212
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f13252,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_212 ),
inference(resolution,[],[f4881,f2870]) ).
fof(f4881,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f4879]) ).
fof(f13259,plain,
( spl0_431
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f13251,f4879,f13256]) ).
fof(f13256,plain,
( spl0_431
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f13251,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_212 ),
inference(resolution,[],[f4881,f2774]) ).
fof(f13046,plain,
( spl0_429
| spl0_430
| ~ spl0_148
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f13039,f4507,f3989,f13044,f13041]) ).
fof(f13041,plain,
( spl0_429
<=> ! [X3] : ~ c_in(c_Message_Omsg_OKey(v_K),c_insert(c_Message_Omsg_ONonce(X3),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f13044,plain,
( spl0_430
<=> ! [X4] : c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_Message_Oanalz(c_insert(X4,c_insert(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_insert(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f3989,plain,
( spl0_148
<=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f4507,plain,
( spl0_205
<=> v_K = c_Message_OinvKey(v_K) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f13039,plain,
( ! [X3,X4] :
( c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_Message_Oanalz(c_insert(X4,c_insert(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_insert(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg),tc_Message_Omsg))
| ~ c_in(c_Message_Omsg_OKey(v_K),c_insert(c_Message_Omsg_ONonce(X3),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_205 ),
inference(forward_subsumption_demodulation,[],[f13032,f105]) ).
fof(f105,axiom,
! [X18,X1,X27] :
( ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1)
| X18 = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f13032,plain,
( ! [X3,X4] :
( c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_Message_Oanalz(c_insert(X4,c_insert(c_Message_Omsg_ONonce(X3),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X4),c_insert(c_Message_Omsg_ONonce(X3),c_emptyset,tc_Message_Omsg),tc_Message_Omsg))
| ~ c_in(c_Message_Omsg_OKey(v_K),c_insert(c_Message_Omsg_ONonce(X3),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_205 ),
inference(superposition,[],[f11799,f4562]) ).
fof(f4562,plain,
( ! [X0] : c_insert(c_Message_Omsg_ONonce(X0),c_emptyset,tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X0),c_emptyset,tc_Message_Omsg))
| ~ spl0_148 ),
inference(superposition,[],[f2860,f3991]) ).
fof(f3991,plain,
( c_emptyset = c_Message_Oanalz(c_emptyset)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f3989]) ).
fof(f2860,axiom,
! [X88,X7] : c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X7),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__insert__Nonce_0) ).
fof(f11799,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_insert(c_Message_Omsg_OCrypt(v_K,X1),c_Message_Oanalz(c_insert(X1,X0,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X1),X0,tc_Message_Omsg)) )
| ~ spl0_205 ),
inference(superposition,[],[f2848,f4509]) ).
fof(f4509,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f4507]) ).
fof(f2848,axiom,
! [X91,X88,X86] :
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X91)),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X91,X86),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oanalz(c_insert(X86,X88,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__Crypt__if_0) ).
fof(f12965,plain,
spl0_242,
inference(avatar_contradiction_clause,[],[f12964]) ).
fof(f12964,plain,
( $false
| spl0_242 ),
inference(resolution,[],[f12919,f7599]) ).
fof(f7599,plain,
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| spl0_242 ),
inference(avatar_component_clause,[],[f7597]) ).
fof(f7597,plain,
( spl0_242
<=> c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f12919,plain,
! [X2] : c_lessequals(X2,X2,tc_nat),
inference(superposition,[],[f2040,f2102]) ).
fof(f2102,axiom,
! [X3] : c_minus(X3,c_0,tc_nat) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_N_Odiff__0_0) ).
fof(f2040,axiom,
! [X21,X15] : c_lessequals(c_minus(X15,X21,tc_nat),X15,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__le__self_0) ).
fof(f12952,plain,
( spl0_269
| spl0_276 ),
inference(avatar_split_clause,[],[f12945,f7867,f7809]) ).
fof(f7809,plain,
( spl0_269
<=> c_0 = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f7867,plain,
( spl0_276
<=> c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f12945,plain,
( c_0 = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| spl0_276 ),
inference(resolution,[],[f2089,f7869]) ).
fof(f7869,plain,
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| spl0_276 ),
inference(avatar_component_clause,[],[f7867]) ).
fof(f2089,axiom,
! [X21] :
( c_less(c_0,X21,tc_nat)
| c_0 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f12944,plain,
( spl0_428
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f12933,f12929,f12941]) ).
fof(f12941,plain,
( spl0_428
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f12929,plain,
( spl0_426
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f12933,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_426 ),
inference(resolution,[],[f12931,f2774]) ).
fof(f12931,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f12929]) ).
fof(f12939,plain,
( spl0_427
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f12934,f12929,f12936]) ).
fof(f12936,plain,
( spl0_427
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f12934,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_426 ),
inference(resolution,[],[f12931,f2870]) ).
fof(f12932,plain,
( spl0_426
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f12927,f12867,f12929]) ).
fof(f12867,plain,
( spl0_419
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f12927,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_419 ),
inference(resolution,[],[f12869,f2852]) ).
fof(f2852,axiom,
! [X88,X86] :
( ~ c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f12869,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f12867]) ).
fof(f12925,plain,
( spl0_422
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f12923,f12908,f12896]) ).
fof(f12896,plain,
( spl0_422
<=> c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f12908,plain,
( spl0_424
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f12923,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_424 ),
inference(resolution,[],[f12910,f2831]) ).
fof(f2831,axiom,
! [X91,X88] :
( ~ c_in(c_Message_Omsg_OKey(X91),c_Message_Osynth(X88),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X91),X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).
fof(f12910,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f12908]) ).
fof(f12922,plain,
~ spl0_422,
inference(avatar_contradiction_clause,[],[f12921]) ).
fof(f12921,plain,
( $false
| ~ spl0_422 ),
inference(resolution,[],[f12898,f2672]) ).
fof(f2672,axiom,
! [X1,X4] : ~ c_in(X4,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).
fof(f12898,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f12896]) ).
fof(f12914,plain,
( spl0_424
| spl0_425
| ~ spl0_205
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f12893,f4895,f4507,f12912,f12908]) ).
fof(f12912,plain,
( spl0_425
<=> ! [X18] : c_insert(c_Message_Omsg_OCrypt(v_K,X18),c_Message_Osynth(c_emptyset),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X18),c_Message_Osynth(c_emptyset),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f4895,plain,
( spl0_213
<=> c_Message_Osynth(c_emptyset) = c_Message_Oanalz(c_Message_Osynth(c_emptyset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f12893,plain,
( ! [X18] :
( c_insert(c_Message_Omsg_OCrypt(v_K,X18),c_Message_Osynth(c_emptyset),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X18),c_Message_Osynth(c_emptyset),tc_Message_Omsg))
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg) )
| ~ spl0_205
| ~ spl0_213 ),
inference(superposition,[],[f11607,f4897]) ).
fof(f4897,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oanalz(c_Message_Osynth(c_emptyset))
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f4895]) ).
fof(f11607,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_insert(c_Message_Omsg_OCrypt(v_K,X1),c_Message_Oanalz(X0),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X1),X0,tc_Message_Omsg)) )
| ~ spl0_205 ),
inference(superposition,[],[f2849,f4509]) ).
fof(f2849,axiom,
! [X91,X88,X86] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X91)),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X91,X86),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__Crypt__if_1) ).
fof(f12902,plain,
( spl0_422
| spl0_423
| ~ spl0_148
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f12886,f4507,f3989,f12900,f12896]) ).
fof(f12900,plain,
( spl0_423
<=> ! [X0] : c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f12886,plain,
( ! [X0] :
( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_205 ),
inference(superposition,[],[f11607,f3991]) ).
fof(f12883,plain,
( spl0_421
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12862,f4706,f12880]) ).
fof(f12880,plain,
( spl0_421
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f12862,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4708,f2852]) ).
fof(f12878,plain,
( spl0_419
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12860,f4706,f12867]) ).
fof(f12860,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4708,f2834]) ).
fof(f12877,plain,
( spl0_420
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12861,f4706,f12873]) ).
fof(f12873,plain,
( spl0_420
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f12861,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4708,f2833]) ).
fof(f12876,plain,
( spl0_420
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12871,f4706,f12873]) ).
fof(f12871,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(forward_demodulation,[],[f12864,f2854]) ).
fof(f2854,axiom,
! [X88] : c_Message_Oanalz(X88) = c_Message_Oanalz(c_Message_Oanalz(X88)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__idem_0) ).
fof(f12864,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4708,f4538]) ).
fof(f12870,plain,
( spl0_419
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12865,f4706,f12867]) ).
fof(f12865,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_208 ),
inference(forward_demodulation,[],[f12863,f2854]) ).
fof(f12863,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_208 ),
inference(resolution,[],[f4708,f4541]) ).
fof(f12806,plain,
( spl0_418
| ~ spl0_416
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f12801,f12797,f12775,f12803]) ).
fof(f12803,plain,
( spl0_418
<=> c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f12775,plain,
( spl0_416
<=> c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f12797,plain,
( spl0_417
<=> c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f12801,plain,
( c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_416
| ~ spl0_417 ),
inference(backward_demodulation,[],[f12777,f12799]) ).
fof(f12799,plain,
( c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg)
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f12797]) ).
fof(f12777,plain,
( c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg)
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f12775]) ).
fof(f12800,plain,
( spl0_417
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f12794,f4908,f12797]) ).
fof(f4908,plain,
( spl0_214
<=> c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f12794,plain,
( c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg)
| ~ spl0_214 ),
inference(superposition,[],[f2883,f4910]) ).
fof(f4910,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset))
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f4908]) ).
fof(f2883,axiom,
! [X88] : c_Message_Oparts(c_Message_Osynth(X88)) = c_union(c_Message_Oparts(X88),c_Message_Osynth(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f12778,plain,
( spl0_416
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f12768,f4895,f12775]) ).
fof(f12768,plain,
( c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg)
| ~ spl0_213 ),
inference(superposition,[],[f2865,f4897]) ).
fof(f2865,axiom,
! [X88] : c_Message_Oanalz(c_Message_Osynth(X88)) = c_union(c_Message_Oanalz(X88),c_Message_Osynth(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__synth_0) ).
fof(f12699,plain,
( ~ spl0_415
| spl0_405 ),
inference(avatar_split_clause,[],[f12694,f12602,f12696]) ).
fof(f12696,plain,
( spl0_415
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f12602,plain,
( spl0_405
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f12694,plain,
( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_405 ),
inference(resolution,[],[f12603,f2847]) ).
fof(f12603,plain,
( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| spl0_405 ),
inference(avatar_component_clause,[],[f12602]) ).
fof(f12692,plain,
( spl0_414
| ~ spl0_28
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f12682,f3823,f3348,f12689]) ).
fof(f12689,plain,
( spl0_414
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f3348,plain,
( spl0_28
<=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f3823,plain,
( spl0_118
<=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f12682,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_28
| ~ spl0_118 ),
inference(resolution,[],[f5408,f3350]) ).
fof(f3350,plain,
( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f3348]) ).
fof(f5408,plain,
( ! [X2] :
( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) )
| ~ spl0_118 ),
inference(resolution,[],[f2870,f4659]) ).
fof(f4659,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_118 ),
inference(resolution,[],[f2940,f3825]) ).
fof(f3825,plain,
( c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3823]) ).
fof(f2940,axiom,
! [X102,X12] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSpy__see__shrK_1) ).
fof(f12687,plain,
( spl0_413
| ~ spl0_57
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f12681,f3823,f3494,f12684]) ).
fof(f12684,plain,
( spl0_413
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f3494,plain,
( spl0_57
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f12681,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_57
| ~ spl0_118 ),
inference(resolution,[],[f5408,f3496]) ).
fof(f3496,plain,
( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f12679,plain,
( ~ spl0_412
| spl0_410 ),
inference(avatar_split_clause,[],[f12674,f12665,f12676]) ).
fof(f12676,plain,
( spl0_412
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f12665,plain,
( spl0_410
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f12674,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_410 ),
inference(resolution,[],[f12667,f2847]) ).
fof(f12667,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| spl0_410 ),
inference(avatar_component_clause,[],[f12665]) ).
fof(f12672,plain,
( ~ spl0_410
| spl0_411
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f12663,f4797,f12669,f12665]) ).
fof(f12669,plain,
( spl0_411
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f12663,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210 ),
inference(forward_demodulation,[],[f12656,f2900]) ).
fof(f2900,axiom,
! [X12] : c_Public_OshrK(X12) = c_Message_OinvKey(c_Public_OshrK(X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OinvKey__shrK_0) ).
fof(f12656,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OshrK(v_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210 ),
inference(resolution,[],[f4799,f2846]) ).
fof(f2846,axiom,
! [X91,X88,X86] :
( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X91)),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f12662,plain,
( spl0_409
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f12657,f4797,f12659]) ).
fof(f12659,plain,
( spl0_409
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f12657,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210 ),
inference(resolution,[],[f4799,f2852]) ).
fof(f12632,plain,
( ~ spl0_408
| spl0_406 ),
inference(avatar_split_clause,[],[f12627,f12606,f12629]) ).
fof(f12629,plain,
( spl0_408
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f12606,plain,
( spl0_406
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f12627,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_406 ),
inference(resolution,[],[f12608,f2847]) ).
fof(f12608,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| spl0_406 ),
inference(avatar_component_clause,[],[f12606]) ).
fof(f12614,plain,
( spl0_407
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f12599,f4792,f12611]) ).
fof(f12611,plain,
( spl0_407
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f12599,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_209 ),
inference(resolution,[],[f4794,f2852]) ).
fof(f12609,plain,
( spl0_405
| ~ spl0_406
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f12600,f4792,f12606,f12602]) ).
fof(f12600,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_209 ),
inference(forward_demodulation,[],[f12598,f2900]) ).
fof(f12598,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OshrK(v_B))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_209 ),
inference(resolution,[],[f4794,f2846]) ).
fof(f12596,plain,
( spl0_404
| ~ spl0_28
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f12580,f3494,f3348,f12591]) ).
fof(f12591,plain,
( spl0_404
<=> ! [X45,X44,X43,X46] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X45,v_Ba))),c_insert(X46,c_insert(X43,c_Event_Oknows(c_Message_Oagent_OSpy,X44),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f12580,plain,
( ! [X18,X16,X17,X15] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X17,v_Ba))),c_insert(X18,c_insert(X15,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_28
| ~ spl0_57 ),
inference(superposition,[],[f11072,f4661]) ).
fof(f4661,plain,
( ! [X6,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X5),X6,tc_Event_Oevent)) = c_insert(X5,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg)
| ~ spl0_57 ),
inference(resolution,[],[f2797,f3496]) ).
fof(f2797,axiom,
! [X86,X12,X102] :
( ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X86),X102,tc_Event_Oevent)) = c_insert(X86,c_Event_Oknows(c_Message_Oagent_OSpy,X102),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oknows__Spy__Notes_0) ).
fof(f11072,plain,
( ! [X10,X11,X9] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X9,v_Ba))),c_insert(X10,c_Event_Oknows(c_Message_Oagent_OSpy,X11),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_28 ),
inference(resolution,[],[f4584,f3350]) ).
fof(f4584,plain,
! [X2,X3,X4,X5] :
( ~ c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X4,X5))),c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f2896,f2799]) ).
fof(f2799,axiom,
! [X86,X102,X12,X13] : c_insert(X86,c_Event_Oknows(c_Message_Oagent_OSpy,X102),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X12,X13,X86),X102,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oknows__Spy__Says_0) ).
fof(f2896,axiom,
! [X27,X12,X102] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X27,X12))),c_Event_Oknows(c_Message_Oagent_OSpy,X102),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__privateKey_0) ).
fof(f12595,plain,
( spl0_404
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12583,f3348,f12591]) ).
fof(f12583,plain,
( ! [X28,X29,X27,X30] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X29,v_Ba))),c_insert(X30,c_insert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X28),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_28 ),
inference(superposition,[],[f11072,f4662]) ).
fof(f4662,plain,
( ! [X8,X7] : c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_Ba,X7),X8,tc_Event_Oevent))
| ~ spl0_28 ),
inference(resolution,[],[f2797,f3350]) ).
fof(f12594,plain,
( spl0_404
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12578,f3348,f12591]) ).
fof(f12578,plain,
( ! [X10,X8,X9,X7] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X9,v_Ba))),c_insert(X10,c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_28 ),
inference(superposition,[],[f11072,f2799]) ).
fof(f12593,plain,
( spl0_403
| spl0_404
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12586,f3348,f12591,f12588]) ).
fof(f12588,plain,
( spl0_403
<=> ! [X42,X48,X47] : c_Event_Oknows(c_Message_Oagent_OSpy,X48) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X42,X47),X48,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f12586,plain,
( ! [X48,X46,X47,X44,X45,X42,X43] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X45,v_Ba))),c_insert(X46,c_insert(X43,c_Event_Oknows(c_Message_Oagent_OSpy,X44),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,X48) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X42,X47),X48,tc_Event_Oevent)) )
| ~ spl0_28 ),
inference(superposition,[],[f11072,f4660]) ).
fof(f4660,plain,
! [X2,X3,X0,X1,X4] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X4),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
inference(resolution,[],[f2797,f2798]) ).
fof(f2798,axiom,
! [X86,X12,X102] :
( c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,X102) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X86),X102,tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oknows__Spy__Notes_1) ).
fof(f9658,plain,
spl0_312,
inference(avatar_contradiction_clause,[],[f9657]) ).
fof(f9657,plain,
( $false
| spl0_312 ),
inference(trivial_inequality_removal,[],[f9656]) ).
fof(f9656,plain,
( c_0 != c_0
| spl0_312 ),
inference(superposition,[],[f8187,f2763]) ).
fof(f2763,axiom,
! [X90] : c_0 = c_Nat_Osize(c_Message_Omsg_OKey(X90),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg_Osize__4_0) ).
fof(f8187,plain,
( c_0 != c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| spl0_312 ),
inference(avatar_component_clause,[],[f8185]) ).
fof(f8185,plain,
( spl0_312
<=> c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f9642,plain,
spl0_379,
inference(avatar_contradiction_clause,[],[f9641]) ).
fof(f9641,plain,
( $false
| spl0_379 ),
inference(resolution,[],[f9248,f2926]) ).
fof(f2926,axiom,
! [X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oused(X102),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
fof(f9248,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg)
| spl0_379 ),
inference(avatar_component_clause,[],[f9246]) ).
fof(f9246,plain,
( spl0_379
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f9634,plain,
( spl0_241
| ~ spl0_402
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9629,f5798,f9631,f7588]) ).
fof(f7588,plain,
( spl0_241
<=> ! [X6,X3] : X3 = X6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f9631,plain,
( spl0_402
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f5798,plain,
( spl0_218
<=> ! [X1] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f9629,plain,
( ! [X21,X15] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| X15 = X21 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9628,f5799]) ).
fof(f5799,plain,
( ! [X1] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = X1
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f5798]) ).
fof(f9628,plain,
( ! [X21,X15] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat)
| X15 = X21 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6814,f5799]) ).
fof(f6814,plain,
( ! [X21,X15] :
( c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat) != c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| X15 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3172,f5799]) ).
fof(f3172,plain,
! [X21,X15] :
( c_Finite__Set_Ocard(c_SetInterval_OatMost(X15,tc_nat),tc_nat) != c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat)
| X15 = X21 ),
inference(definition_unfolding,[],[f2017,f2544,f2544]) ).
fof(f2017,axiom,
! [X21,X15] :
( c_Suc(X21) != c_Suc(X15)
| X15 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq_0) ).
fof(f9625,plain,
( spl0_227
| spl0_227
| spl0_234
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9624,f5798,f7550,f7515,f7515]) ).
fof(f7515,plain,
( spl0_227
<=> ! [X2,X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f7550,plain,
( spl0_234
<=> ! [X4] : ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f9624,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,X2)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9623,f5799]) ).
fof(f9623,plain,
( ! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9622,f5799]) ).
fof(f9622,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_sum(X1,X2))
| c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6879,f5799]) ).
fof(f6879,plain,
( ! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_sum(X1,X2)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f118,f5799]) ).
fof(f118,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_3) ).
fof(f9621,plain,
( spl0_271
| spl0_270
| spl0_270
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6882,f5798,f7815,f7815,f7818]) ).
fof(f7818,plain,
( spl0_271
<=> class_Finite__Set_Ofinite(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f7815,plain,
( spl0_270
<=> ! [X38] : ~ class_Finite__Set_Ofinite(X38) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f6882,plain,
( ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X37)
| ~ class_Finite__Set_Ofinite(X38)
| class_Finite__Set_Ofinite(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f252,f5799]) ).
fof(f252,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f9614,plain,
( spl0_398
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9613,f5798,f9527]) ).
fof(f9527,plain,
( spl0_398
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f9613,plain,
( ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7226,f5799]) ).
fof(f7226,plain,
( ! [X21,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2358,f5799]) ).
fof(f2358,axiom,
! [X21,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X18,X1),X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Ozero__le__power__abs_0) ).
fof(f9612,plain,
( spl0_228
| ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7098,f5798,f7523,f7520]) ).
fof(f7520,plain,
( spl0_228
<=> ! [X8] : c_emptyset = c_Message_Oparts(X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f7523,plain,
( spl0_229
<=> c_emptyset = c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f7098,plain,
( ! [X9] :
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_emptyset = c_Message_Oparts(X9) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5234,f5799]) ).
fof(f5234,plain,
! [X10,X9] :
( c_emptyset = c_Message_Oparts(X9)
| c_emptyset != c_Message_Oparts(c_union(X9,X10,tc_Message_Omsg)) ),
inference(superposition,[],[f2635,f2768]) ).
fof(f2768,axiom,
! [X88,X20] : c_Message_Oparts(c_union(X20,X88,tc_Message_Omsg)) = c_union(c_Message_Oparts(X20),c_Message_Oparts(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f2635,axiom,
! [X1,X12,X13] :
( c_emptyset != c_union(X12,X13,X1)
| c_emptyset = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty_0) ).
fof(f9610,plain,
( spl0_241
| ~ spl0_240
| ~ spl0_118
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9609,f5798,f3823,f7584,f7588]) ).
fof(f7584,plain,
( spl0_240
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f9609,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f9608]) ).
fof(f9608,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9607,f5799]) ).
fof(f9607,plain,
( ! [X3,X10,X0,X1,X8,X9,X7] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X0 = X1
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9606,f5799]) ).
fof(f9606,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6563,f5799]) ).
fof(f6563,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4677,f5799]) ).
fof(f4677,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118 ),
inference(resolution,[],[f2942,f3825]) ).
fof(f2942,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X13,X115,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X12 = X111
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_0) ).
fof(f9605,plain,
( ~ spl0_269
| spl0_202
| spl0_326
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7273,f5798,f8337,f4482,f7809]) ).
fof(f4482,plain,
( spl0_202
<=> ! [X0] : c_0 = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f8337,plain,
( spl0_326
<=> ! [X1] : ~ class_Ring__and__Field_Oordered__idom(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f7273,plain,
( ! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X11
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1404,f5799]) ).
fof(f1404,axiom,
! [X11,X1] :
( c_0 != c_IntDef_Oof__int(X11,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__eq__0__iff_0) ).
fof(f9591,plain,
( ~ spl0_286
| spl0_243
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6012,f5798,f4293,f3828,f7601,f7932]) ).
fof(f7932,plain,
( spl0_286
<=> c_lessequals(c_1,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f7601,plain,
( spl0_243
<=> ! [X2] : c_lessequals(c_1,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f6012,plain,
( ! [X21] :
( c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4434,f5799]) ).
fof(f4434,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X21,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4263,f4295]) ).
fof(f4263,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_IntDef_Onat(c_1),c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X21,tc_nat) )
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3039,f3830]) ).
fof(f3039,plain,
! [X21,X15] :
( c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X15,X21,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f2096,f2544]) ).
fof(f2096,axiom,
! [X21,X15] :
( ~ c_lessequals(c_Suc(c_0),c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_1) ).
fof(f9589,plain,
( spl0_285
| spl0_292
| ~ spl0_242
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9588,f5798,f7597,f7980,f7928]) ).
fof(f7928,plain,
( spl0_285
<=> ! [X21,X15] : c_lessequals(X15,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f7980,plain,
( spl0_292
<=> ! [X21] : ~ c_less(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f9588,plain,
( ! [X21,X16,X15] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_less(c_0,X16,tc_nat)
| c_lessequals(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5992,f5799]) ).
fof(f5992,plain,
( ! [X21,X16,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_less(c_0,X16,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_times(X16,X21,tc_nat),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2066,f5799]) ).
fof(f2066,axiom,
! [X21,X16,X15] :
( ~ c_lessequals(c_times(X16,X15,tc_nat),c_times(X16,X21,tc_nat),tc_nat)
| c_lessequals(X15,X21,tc_nat)
| ~ c_less(c_0,X16,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__le__cancel1_0) ).
fof(f9586,plain,
( spl0_235
| spl0_226
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9585,f5798,f7512,f7553]) ).
fof(f7553,plain,
( spl0_235
<=> ! [X12] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f7512,plain,
( spl0_226
<=> ! [X27,X1] : ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f9585,plain,
( ! [X18,X1,X5] :
( ~ c_in(X18,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9584,f5799]) ).
fof(f9584,plain,
( ! [X2,X18,X1,X5] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5841,f5799]) ).
fof(f5841,plain,
( ! [X2,X18,X1,X5] :
( c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f69,f5799]) ).
fof(f69,axiom,
! [X2,X18,X1,X5] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f9580,plain,
( spl0_202
| ~ spl0_314
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7228,f5798,f8201,f4482]) ).
fof(f8201,plain,
( spl0_314
<=> c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f7228,plain,
( ! [X48] :
( ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_IntDef_Oint)
| c_0 = X48 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1349,f5799]) ).
fof(f1349,axiom,
! [X48] :
( ~ c_less(c_HOL_Oabs(X48,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
| c_0 = X48 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_0) ).
fof(f9579,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9578,f5798,f3989,f7650,f7495]) ).
fof(f7495,plain,
( spl0_225
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f7650,plain,
( spl0_248
<=> ! [X86] : c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f9578,plain,
( ! [X3] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9577,f5799]) ).
fof(f9577,plain,
( ! [X3,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X3,c_insert(c_Message_Omsg_OAgent(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6307,f5799]) ).
fof(f6307,plain,
( ! [X2,X3,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X3,c_insert(c_Message_Omsg_OAgent(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5265,f5799]) ).
fof(f5265,plain,
( ! [X2,X3,X1] :
( c_in(X3,c_insert(c_Message_Omsg_OAgent(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_insert(c_Message_Omsg_OAgent(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2833,f4556]) ).
fof(f4556,plain,
( ! [X0] : c_insert(c_Message_Omsg_OAgent(X0),c_emptyset,tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X0),c_emptyset,tc_Message_Omsg))
| ~ spl0_148 ),
inference(superposition,[],[f2855,f3991]) ).
fof(f2855,axiom,
! [X88,X110] : c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X110),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X110),c_Message_Oanalz(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__insert__Agent_0) ).
fof(f9576,plain,
( spl0_362
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9575,f5798,f8847]) ).
fof(f8847,plain,
( spl0_362
<=> c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f9575,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6873,f5799]) ).
fof(f6873,plain,
( ! [X2,X1] : c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_sum(X1,X2))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1179,f5799]) ).
fof(f1179,axiom,
! [X2,X18,X1] : c_0 = c_Nat_Osize(c_Sum__Type_OInl(X18,X1,X2),tc_sum(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Osum_Osize__1_0) ).
fof(f9570,plain,
( ~ spl0_401
| spl0_226
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9565,f5798,f7512,f9567]) ).
fof(f9567,plain,
( spl0_401
<=> c_Datatype_Ooption_ONone = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f9565,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Datatype_Ooption_ONone != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9564,f5799]) ).
fof(f9564,plain,
( ! [X2,X0,X1,X25,X23] :
( c_Datatype_Ooption_ONone != c_Map_Omap__of(c_List_Ozip(X23,X25,X1,X2),X0,X1,X2)
| ~ c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9563]) ).
fof(f9563,plain,
( ! [X2,X0,X1,X25,X23] :
( ~ c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_Datatype_Ooption_ONone != c_Map_Omap__of(c_List_Ozip(X23,X25,X1,X2),X0,X1,X2) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9562,f5799]) ).
fof(f9562,plain,
( ! [X2,X0,X1,X25,X23] :
( c_Nat_Osize(X23,tc_List_Olist(X1)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Datatype_Ooption_ONone != c_Map_Omap__of(c_List_Ozip(X23,X25,X1,X2),X0,X1,X2) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6523,f5799]) ).
fof(f6523,plain,
( ! [X2,X0,X1,X25,X23] :
( c_Nat_Osize(X23,tc_List_Olist(X1)) != c_Nat_Osize(X25,tc_List_Olist(X2))
| ~ c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Datatype_Ooption_ONone != c_Map_Omap__of(c_List_Ozip(X23,X25,X1,X2),X0,X1,X2) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1793,f5799]) ).
fof(f1793,axiom,
! [X2,X0,X1,X25,X23] :
( c_Datatype_Ooption_ONone != c_Map_Omap__of(c_List_Ozip(X23,X25,X1,X2),X0,X1,X2)
| c_Nat_Osize(X23,tc_List_Olist(X1)) != c_Nat_Osize(X25,tc_List_Olist(X2))
| ~ c_in(X0,c_List_Oset(X23,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Map_Omap__of__zip__is__None_0) ).
fof(f9560,plain,
( spl0_248
| ~ spl0_240
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9559,f5798,f7584,f7650]) ).
fof(f9559,plain,
( ! [X86] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9558,f5799]) ).
fof(f9558,plain,
( ! [X86] :
( c_in(X86,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9557,f7115]) ).
fof(f7115,plain,
( ! [X0] : c_Message_Oanalz(X0) = c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4719,f5799]) ).
fof(f4719,plain,
! [X0] : c_Message_Oanalz(X0) = c_Message_Oanalz(c_union(X0,c_Message_Oanalz(X0),tc_Message_Omsg)),
inference(forward_demodulation,[],[f4718,f2854]) ).
fof(f4718,plain,
! [X0] : c_Message_Oanalz(c_union(X0,c_Message_Oanalz(X0),tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Oanalz(X0)),
inference(superposition,[],[f2851,f2634]) ).
fof(f2634,axiom,
! [X3,X1] : c_union(X3,X3,X1) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f2851,axiom,
! [X88,X20] : c_Message_Oanalz(c_union(c_Message_Oanalz(X20),X88,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X20,X88,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
fof(f9557,plain,
( ! [X86,X102] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| c_in(X86,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6551,f5799]) ).
fof(f6551,plain,
( ! [X86,X12,X102,X13] :
( ~ c_in(c_Event_Oevent_OSays(X12,X13,X86),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| c_in(X86,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2933,f5799]) ).
fof(f2933,axiom,
! [X86,X12,X102,X13] :
( ~ c_in(c_Event_Oevent_OSays(X12,X13,X86),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X86,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f9552,plain,
( spl0_399
| spl0_400
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7275,f5798,f9550,f9547]) ).
fof(f9547,plain,
( spl0_399
<=> ! [X11] : c_lessequals(X11,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f9550,plain,
( spl0_400
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f7275,plain,
( ! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(X11,c_0,tc_IntDef_Oint)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1408,f5799]) ).
fof(f1408,axiom,
! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_IntDef_Oof__int(X11,X1),c_0,X1)
| c_lessequals(X11,c_0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__le__0__iff_0) ).
fof(f9545,plain,
( spl0_259
| spl0_264
| ~ spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7045,f5798,f7730,f7771,f7727]) ).
fof(f7727,plain,
( spl0_259
<=> ! [X0] : ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f7771,plain,
( spl0_264
<=> ! [X3] : c_Parity_Oeven(X3,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f7730,plain,
( spl0_260
<=> c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f7045,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2275,f5799]) ).
fof(f2275,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_minus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__difference_1) ).
fof(f9542,plain,
( spl0_373
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9541,f5798,f7588,f9042]) ).
fof(f9042,plain,
( spl0_373
<=> ! [X1] : ~ class_Orderings_Olinorder(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f9541,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9540]) ).
fof(f9540,plain,
( ! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6826,f5799]) ).
fof(f6826,plain,
( ! [X3,X0,X1] :
( c_SetInterval_OatMost(X3,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2535,f5799]) ).
fof(f2535,axiom,
! [X3,X0,X1] :
( X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff_0) ).
fof(f9537,plain,
( ~ spl0_240
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9536,f5798,f7650,f7584]) ).
fof(f9536,plain,
( ! [X10] :
( c_in(X10,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9535,f5799]) ).
fof(f9535,plain,
( ! [X10,X8,X9] :
( c_in(X10,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X8,X9,X10),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9534,f5799]) ).
fof(f9534,plain,
( ! [X10,X8,X9] :
( c_in(X10,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X8,X9,X10),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6225,f7115]) ).
fof(f6225,plain,
( ! [X10,X8,X9,X7] :
( c_in(X10,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X7,c_List_Olist_ONil,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X8,X9,X10),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5012,f5799]) ).
fof(f5012,plain,
! [X10,X8,X9,X7] :
( ~ c_in(c_Event_Oevent_OSays(X8,X9,X10),c_insert(X7,c_emptyset,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X10,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(X7,c_List_Olist_ONil,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(superposition,[],[f2933,f4553]) ).
fof(f4553,plain,
! [X0,X1] : c_List_Oset(c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0) = c_insert(X1,c_emptyset,X0),
inference(superposition,[],[f1748,f1753]) ).
fof(f1753,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty_1) ).
fof(f1748,axiom,
! [X41,X0,X23] : c_List_Oset(c_List_Olist_OCons(X0,X23,X41),X41) = c_insert(X0,c_List_Oset(X23,X41),X41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps__2_0) ).
fof(f9531,plain,
( ~ spl0_370
| spl0_355
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9530,f5798,f8713,f8945]) ).
fof(f8945,plain,
( spl0_370
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f8713,plain,
( spl0_355
<=> ! [X25,X27] : c_Message_Omsg_ONonce(X25) = X27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f9530,plain,
( ! [X24,X22] :
( c_Message_Omsg_ONonce(X22) = X24
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6212,f5799]) ).
fof(f6212,plain,
( ! [X24,X22,X23] :
( c_Message_Omsg_ONonce(X22) = X24
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X22),X23,tc_Message_Omsg)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5154,f5799]) ).
fof(f5154,plain,
! [X24,X22,X23] :
( c_insert(X24,c_emptyset,tc_Message_Omsg) != c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X22),X23,tc_Message_Omsg))
| c_Message_Omsg_ONonce(X22) = X24 ),
inference(superposition,[],[f2692,f2860]) ).
fof(f2692,axiom,
! [X18,X1,X27,X12] :
( c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1)
| X18 = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_0) ).
fof(f9529,plain,
( spl0_398
| ~ spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9525,f5798,f7462,f9527]) ).
fof(f7462,plain,
( spl0_220
<=> c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f9525,plain,
( ! [X1] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7191,f5799]) ).
fof(f7191,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2329,f5799]) ).
fof(f2329,axiom,
! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__le__power__eq__number__of_1) ).
fof(f9516,plain,
( spl0_285
| ~ spl0_242
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9515,f5798,f7597,f7928]) ).
fof(f9515,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(X21,X15,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9514,f5799]) ).
fof(f9514,plain,
( ! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6802,f5799]) ).
fof(f6802,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat),c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat),tc_nat)
| c_lessequals(X21,X15,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3043,f5799]) ).
fof(f3043,plain,
! [X21,X15] :
( ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X15,tc_nat),tc_nat),tc_nat)
| c_lessequals(X21,X15,tc_nat) ),
inference(definition_unfolding,[],[f2019,f2544,f2544]) ).
fof(f2019,axiom,
! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono_0) ).
fof(f9513,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9512,f5798,f3989,f7650,f7495]) ).
fof(f9512,plain,
( ! [X3] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9511,f5799]) ).
fof(f9511,plain,
( ! [X3,X4] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9510,f5799]) ).
fof(f9510,plain,
( ! [X3,X4] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6314,f5799]) ).
fof(f6314,plain,
( ! [X2,X3,X4] :
( c_in(X3,c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5523,f5799]) ).
fof(f5523,plain,
( ! [X2,X3,X4] :
( c_in(X3,c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2840,f4556]) ).
fof(f2840,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz_0) ).
fof(f9508,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9507,f5798,f7650,f7756]) ).
fof(f7756,plain,
( spl0_263
<=> ! [X10] : ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X10,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f9507,plain,
( ! [X3,X5] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9506,f5799]) ).
fof(f9506,plain,
( ! [X3,X6,X5] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X6),X5,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6157,f5799]) ).
fof(f6157,plain,
( ! [X3,X6,X5] :
( c_in(X3,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X6),X5,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4997,f5799]) ).
fof(f4997,plain,
! [X3,X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X6),X5,tc_Message_Omsg)
| c_in(X3,c_Message_Oanalz(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4541,f2685]) ).
fof(f2685,axiom,
! [X18,X1,X27,X12] :
( c_in(X18,c_insert(X27,X12,X1),X1)
| ~ c_in(X18,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_2) ).
fof(f9505,plain,
( spl0_248
| ~ spl0_225
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9504,f5798,f3989,f7495,f7650]) ).
fof(f9504,plain,
( ! [X3] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9503,f5799]) ).
fof(f9503,plain,
( ! [X2,X3] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6376,f5799]) ).
fof(f6376,plain,
( ! [X2,X3,X1] :
( c_in(X3,c_insert(c_Message_Omsg_ONonce(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5279,f5799]) ).
fof(f5279,plain,
( ! [X2,X3,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_insert(c_Message_Omsg_ONonce(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X3,c_insert(c_Message_Omsg_ONonce(X1),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2833,f4562]) ).
fof(f9500,plain,
( spl0_396
| spl0_397
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7276,f5798,f9498,f9495]) ).
fof(f9495,plain,
( spl0_396
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f9498,plain,
( spl0_397
<=> ! [X11] : ~ c_lessequals(X11,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f7276,plain,
( ! [X11,X1] :
( ~ c_lessequals(X11,c_0,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1409,f5799]) ).
fof(f1409,axiom,
! [X11,X1] :
( ~ c_lessequals(X11,c_0,tc_IntDef_Oint)
| c_lessequals(c_IntDef_Oof__int(X11,X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__le__0__iff_1) ).
fof(f9488,plain,
( spl0_248
| spl0_263
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9487,f5798,f7756,f7650]) ).
fof(f9487,plain,
( ! [X19,X20] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X20,tc_Message_Omsg)
| c_in(X19,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7375,f5799]) ).
fof(f7375,plain,
( ! [X19,X20] :
( c_in(X19,c_Message_Oanalz(c_Message_Osynth(X20)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X20,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5002,f5799]) ).
fof(f5002,plain,
! [X21,X19,X20] :
( ~ c_in(c_Message_Omsg_OMPair(X19,X21),X20,tc_Message_Omsg)
| c_in(X19,c_Message_Oanalz(c_Message_Osynth(X20)),tc_Message_Omsg) ),
inference(resolution,[],[f4541,f2886]) ).
fof(f2886,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f9486,plain,
( ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6319,f5798,f7523]) ).
fof(f6319,plain,
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4726,f5799]) ).
fof(f4726,plain,
! [X10,X11,X12] : c_emptyset != c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X10,X11),X12,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2873]) ).
fof(f2873,axiom,
! [X91,X88,X86] : c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X91,X86),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oparts(c_insert(X86,X88,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Crypt_0) ).
fof(f2673,axiom,
! [X18,X1,X12] : c_emptyset != c_insert(X18,X12,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).
fof(f9483,plain,
( spl0_292
| spl0_202
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9482,f5798,f4482,f7980]) ).
fof(f9482,plain,
( ! [X21,X3] :
( c_0 = X3
| ~ c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5982,f6087]) ).
fof(f6087,plain,
( ! [X21] : c_0 = c_div(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,tc_nat)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1242,f5799]) ).
fof(f1242,axiom,
! [X21,X15] : c_0 = c_div(c_Divides_Oop_Amod(X15,X21,tc_nat),X21,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Onat__mod__div__trivial_0) ).
fof(f5982,plain,
( ! [X21,X3] :
( ~ c_less(c_0,X21,tc_nat)
| c_div(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,tc_nat) = X3 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1221,f5799]) ).
fof(f1221,axiom,
! [X21,X3] :
( c_div(c_times(X21,X3,tc_nat),X21,tc_nat) = X3
| ~ c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odiv__mult__self1__is__m_0) ).
fof(f9481,plain,
( spl0_256
| spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9480,f5798,f7658,f7705]) ).
fof(f7705,plain,
( spl0_256
<=> ! [X13,X18,X1] : ~ c_in(X18,X13,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f7658,plain,
( spl0_249
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f9480,plain,
( ! [X1,X27,X13] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X27,X13,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9479,f5799]) ).
fof(f9479,plain,
( ! [X2,X1,X27,X13] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6880,f5799]) ).
fof(f6880,plain,
( ! [X2,X1,X27,X13] :
( c_in(c_Sum__Type_OInr(X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_sum(X2,X1))
| ~ c_in(X27,X13,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f114,f5799]) ).
fof(f114,axiom,
! [X2,X1,X27,X12,X13] :
( c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1))
| ~ c_in(X27,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f9474,plain,
( spl0_235
| spl0_234
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9473,f5798,f7550,f7553]) ).
fof(f9473,plain,
( ! [X29,X5] :
( ~ c_in(X29,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9472,f5799]) ).
fof(f9472,plain,
( ! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9471,f5799]) ).
fof(f9471,plain,
( ! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5847,f5799]) ).
fof(f5847,plain,
( ! [X2,X29,X1,X5] :
( c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f77,f5799]) ).
fof(f77,axiom,
! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_0) ).
fof(f9469,plain,
( spl0_395
| spl0_261
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9465,f5798,f7741,f9467]) ).
fof(f9467,plain,
( spl0_395
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f7741,plain,
( spl0_261
<=> ! [X0,X3] : c_less(X0,X3,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f9465,plain,
( ! [X21,X1,X15] :
( c_less(X15,X21,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7135,f5799]) ).
fof(f7135,plain,
( ! [X21,X1,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_NatArith_Oof__nat(X15,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1819,f5799]) ).
fof(f1819,axiom,
! [X21,X1,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_NatArith_Oof__nat(X15,X1),c_NatArith_Oof__nat(X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__less__iff_0) ).
fof(f9463,plain,
( spl0_394
| spl0_265
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7280,f5798,f7784,f9461]) ).
fof(f9461,plain,
( spl0_394
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f7784,plain,
( spl0_265
<=> ! [X27] : ~ c_less(X27,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f7280,plain,
( ! [X11,X1] :
( ~ c_less(X11,c_0,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1413,f5799]) ).
fof(f1413,axiom,
! [X11,X1] :
( c_less(c_IntDef_Oof__int(X11,X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(X11,c_0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__less__0__iff_1) ).
fof(f9449,plain,
( spl0_241
| spl0_245
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9448,f5798,f7624,f7588]) ).
fof(f7624,plain,
( spl0_245
<=> ! [X1] : ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f9448,plain,
( ! [X1,X27,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| X4 = X27 )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9447]) ).
fof(f9447,plain,
( ! [X1,X27,X4] :
( X4 = X27
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6899,f5799]) ).
fof(f6899,plain,
( ! [X1,X18,X27,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_plus(X18,X4,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X4 = X27 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2190,f5799]) ).
fof(f2190,axiom,
! [X1,X18,X27,X4] :
( X4 = X27
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_plus(X18,X27,X1) != c_plus(X18,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__left__cancel_0) ).
fof(f9442,plain,
( spl0_241
| spl0_393
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9438,f5798,f9440,f7588]) ).
fof(f9440,plain,
( spl0_393
<=> ! [X2] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_List_Oset(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f9438,plain,
( ! [X2,X3,X0] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_List_Oset(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2)
| X0 = X3 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6187,f5799]) ).
fof(f6187,plain,
( ! [X2,X3,X0,X1] :
( X0 = X3
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5148,f5799]) ).
fof(f5148,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| c_insert(X3,c_emptyset,X2) != c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) ),
inference(superposition,[],[f2692,f1748]) ).
fof(f9432,plain,
( spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9431,f5798,f7650]) ).
fof(f9431,plain,
( ! [X0] : c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6271,f5799]) ).
fof(f6271,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4972,f5799]) ).
fof(f4972,plain,
! [X2,X0,X1] : c_in(X0,c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f4538,f2684]) ).
fof(f2684,axiom,
! [X0,X1,X12] : c_in(X0,c_insert(X0,X12,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).
fof(f9429,plain,
( spl0_391
| spl0_392
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9422,f5798,f9427,f9424]) ).
fof(f9424,plain,
( spl0_391
<=> ! [X48,X11] : c_less(X11,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f9427,plain,
( spl0_392
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f9422,plain,
( ! [X48,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(X11,X48,tc_IntDef_Oint)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7281,f5799]) ).
fof(f7281,plain,
( ! [X48,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_IntDef_Oof__int(X11,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_less(X11,X48,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1414,f5799]) ).
fof(f1414,axiom,
! [X48,X11,X1] :
( ~ c_less(c_IntDef_Oof__int(X11,X1),c_IntDef_Oof__int(X48,X1),X1)
| c_less(X11,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__less__iff_0) ).
fof(f9419,plain,
( spl0_316
| spl0_294
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9418,f5798,f8000,f8231]) ).
fof(f8231,plain,
( spl0_316
<=> c_IntDef_Oiszero(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f8000,plain,
( spl0_294
<=> c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f9418,plain,
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f9417]) ).
fof(f9417,plain,
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9416,f5799]) ).
fof(f9416,plain,
( ! [X83] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9415,f5799]) ).
fof(f9415,plain,
( ! [X83,X47] :
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__mult(c_Numeral_OMin,X83)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9414]) ).
fof(f9414,plain,
( ! [X83,X47] :
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__mult(c_Numeral_OMin,X83)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9413,f5799]) ).
fof(f9413,plain,
( ! [X83,X47] :
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X83,tc_nat) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__mult(c_Numeral_OMin,X83)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7204,f5799]) ).
fof(f7204,plain,
( ! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X83,tc_nat) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__mult(c_Numeral_OMin,X83)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3142,f5799]) ).
fof(f3142,plain,
! [X83,X47] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__mult(c_Numeral_OMin,X83)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1839,f2129]) ).
fof(f2129,axiom,
! [X11] : c_Numeral_Obin__minus(X11) = c_Numeral_Obin__mult(c_Numeral_OMin,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f1839,axiom,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X47,c_Numeral_Obin__minus(X83)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_2) ).
fof(f9405,plain,
( spl0_373
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9404,f5798,f7588,f9042]) ).
fof(f9404,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9403]) ).
fof(f9403,plain,
( ! [X3,X0,X1] :
( X0 = X3
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6856,f5799]) ).
fof(f6856,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1)
| c_SetInterval_OlessThan(X3,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2568,f5799]) ).
fof(f2568,axiom,
! [X3,X0,X1] :
( c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1)
| ~ class_Orderings_Olinorder(X1)
| X0 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff_0) ).
fof(f9398,plain,
( spl0_277
| ~ spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7248,f5798,f7730,f7871]) ).
fof(f7871,plain,
( spl0_277
<=> ! [X21] : c_less(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f7248,plain,
( ! [X21] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2294,f5799]) ).
fof(f2294,axiom,
! [X21,X0] :
( c_less(c_0,X21,tc_nat)
| ~ c_Parity_Oeven(c_Nat_Opower(X0,X21,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__power_1) ).
fof(f9396,plain,
( spl0_202
| spl0_390
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9392,f5798,f9394,f4482]) ).
fof(f9394,plain,
( spl0_390
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f9392,plain,
( ! [X21,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 = X21
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7231,f5799]) ).
fof(f7231,plain,
( ! [X21,X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_less(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2359,f5799]) ).
fof(f2359,axiom,
! [X21,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 = X21
| ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Ozero__less__power__abs__iff_0) ).
fof(f9391,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9390,f5798,f3989,f7650,f7495]) ).
fof(f9390,plain,
( ! [X6] :
( c_in(X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9389,f5799]) ).
fof(f9389,plain,
( ! [X6,X7] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9388,f5799]) ).
fof(f9388,plain,
( ! [X6,X7] :
( c_in(X6,c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6382,f5799]) ).
fof(f6382,plain,
( ! [X6,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X6,c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5524,f5799]) ).
fof(f5524,plain,
( ! [X6,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X6,c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2840,f4562]) ).
fof(f9385,plain,
( spl0_220
| spl0_389
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9381,f5798,f9383,f7462]) ).
fof(f9383,plain,
( spl0_389
<=> ! [X0,X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_0,X0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f9381,plain,
( ! [X0,X1] :
( ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_0,X0,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7192,f5799]) ).
fof(f7192,plain,
( ! [X0,X11,X1] :
( ~ c_lessequals(c_0,X0,X1)
| c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2330,f5799]) ).
fof(f2330,axiom,
! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ c_lessequals(c_0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__le__power__eq__number__of_2) ).
fof(f9380,plain,
( spl0_241
| ~ spl0_240
| ~ spl0_118
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9379,f5798,f3823,f7584,f7588]) ).
fof(f9379,plain,
( ! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f9378]) ).
fof(f9378,plain,
( ! [X0,X1] :
( X0 = X1
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9377,f5799]) ).
fof(f9377,plain,
( ! [X3,X10,X0,X1,X8,X9,X7] :
( X0 = X1
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9376,f5799]) ).
fof(f9376,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6564,f5799]) ).
fof(f6564,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4678,f5799]) ).
fof(f4678,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X0 = X1 )
| ~ spl0_118 ),
inference(resolution,[],[f2943,f3825]) ).
fof(f2943,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X13,X112,X115] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X13 = X112
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_1) ).
fof(f9374,plain,
( spl0_277
| spl0_388
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6937,f5798,f9372,f7871]) ).
fof(f9372,plain,
( spl0_388
<=> ! [X3] : ~ c_less(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f6937,plain,
( ! [X3,X4] :
( ~ c_less(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(c_0,X4,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5474,f5799]) ).
fof(f5474,plain,
! [X3,X4] :
( c_less(c_0,X4,tc_nat)
| ~ c_less(X3,c_plus(X3,X4,tc_nat),tc_nat) ),
inference(superposition,[],[f2084,f2026]) ).
fof(f2084,axiom,
! [X21,X16,X15] :
( ~ c_less(c_plus(X16,X15,tc_nat),c_plus(X16,X21,tc_nat),tc_nat)
| c_less(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__less_0) ).
fof(f9369,plain,
( ~ spl0_239
| spl0_238
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6728,f5798,f7571,f7574]) ).
fof(f7574,plain,
( spl0_239
<=> c_emptyset = c_Event_Oused(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f7571,plain,
( spl0_238
<=> ! [X1] : c_emptyset = c_Event_Oused(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f6728,plain,
( ! [X5] :
( c_emptyset = c_Event_Oused(X5)
| c_emptyset != c_Event_Oused(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4820,f5799]) ).
fof(f4820,plain,
! [X6,X4,X5] :
( c_emptyset = c_Event_Oused(X5)
| c_emptyset != c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X6,X4),X5,tc_Event_Oevent)) ),
inference(superposition,[],[f2636,f2801]) ).
fof(f2801,axiom,
! [X86,X12,X102] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X12,X86),X102,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X86,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X102),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oused__Notes_0) ).
fof(f2636,axiom,
! [X1,X12,X13] :
( c_emptyset != c_union(X12,X13,X1)
| c_emptyset = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty_1) ).
fof(f9359,plain,
( spl0_373
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9358,f5798,f7588,f9042]) ).
fof(f9358,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9357]) ).
fof(f9357,plain,
( ! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7336,f5799]) ).
fof(f7336,plain,
( ! [X3,X0,X1] :
( c_SetInterval_OatLeast(X3,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2529,f5799]) ).
fof(f2529,axiom,
! [X3,X0,X1] :
( c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1)
| X0 = X3
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff_0) ).
fof(f9356,plain,
( spl0_202
| spl0_387
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6854,f5798,f9354,f4482]) ).
fof(f9354,plain,
( spl0_387
<=> ! [X1,X23] :
( c_List_Olist_ONil != c_List_Osublist(X23,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_List_Olist_ONil = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f6854,plain,
( ! [X21,X1,X23] :
( c_List_Olist_ONil != c_List_Osublist(X23,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_List_Olist_ONil = X23
| c_0 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3149,f5799]) ).
fof(f3149,plain,
! [X21,X1,X23] :
( c_0 = X21
| c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Osublist(X23,c_SetInterval_OlessThan(X21,tc_nat),X1) ),
inference(definition_unfolding,[],[f1772,f1766]) ).
fof(f1766,axiom,
! [X21,X1,X26] : c_List_Osublist(X26,c_SetInterval_OlessThan(X21,tc_nat),X1) = c_List_Otake(X21,X26,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osublist__upt__eq__take_0) ).
fof(f1772,axiom,
! [X21,X1,X23] :
( c_0 = X21
| c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Otake(X21,X23,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otake__eq__Nil_0) ).
fof(f9352,plain,
( spl0_309
| spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9351,f5798,f8142,f8139]) ).
fof(f8139,plain,
( spl0_309
<=> ! [X5] : ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f8142,plain,
( spl0_310
<=> ! [X2,X27] : c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f9351,plain,
( ! [X2,X27,X5] :
( c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9350,f5799]) ).
fof(f9350,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5846,f5799]) ).
fof(f5846,plain,
( ! [X2,X1,X18,X27,X5] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f76,f5799]) ).
fof(f76,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_ORange(X5,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f9343,plain,
( spl0_220
| spl0_386
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9339,f5798,f9341,f7462]) ).
fof(f9341,plain,
( spl0_386
<=> ! [X0,X1] :
( ~ c_less(c_0,X0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f9339,plain,
( ! [X0,X1] :
( ~ c_less(c_0,X0,X1)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7196,f5799]) ).
fof(f7196,plain,
( ! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_0,X0,X1)
| c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2336,f5799]) ).
fof(f2336,axiom,
! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_less(c_0,X0,X1)
| c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_5) ).
fof(f9336,plain,
( spl0_385
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9332,f5798,f7588,f9334]) ).
fof(f9334,plain,
( spl0_385
<=> ! [X18,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_1,X18,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f9332,plain,
( ! [X21,X1,X18,X15] :
( X15 = X21
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X18,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9331]) ).
fof(f9331,plain,
( ! [X21,X1,X18,X15] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_1,X18,X1)
| X15 = X21
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7240,f5799]) ).
fof(f7240,plain,
( ! [X21,X1,X18,X15] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_1,X18,X1)
| X15 = X21
| c_Nat_Opower(X18,X15,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2352,f5799]) ).
fof(f2352,axiom,
! [X21,X18,X1,X15] :
( c_Nat_Opower(X18,X21,X1) != c_Nat_Opower(X18,X15,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X18,X1)
| X15 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__inject__exp_0) ).
fof(f9315,plain,
( spl0_384
| spl0_251
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9311,f5798,f7672,f9313]) ).
fof(f9313,plain,
( spl0_384
<=> ! [X15] : c_IntDef_Oint(X15) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f7672,plain,
( spl0_251
<=> c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f9311,plain,
( ! [X15] :
( c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oint(X15) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7214,f5799]) ).
fof(f7214,plain,
( ! [X47,X15] :
( c_IntDef_Oint(X15) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_lessequals(c_0,c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1342,f5799]) ).
fof(f1342,axiom,
! [X47,X15] :
( c_IntDef_Oint(X15) != c_Numeral_Onumber__of(X47,tc_IntDef_Oint)
| c_lessequals(c_0,c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Oint__eq__iff__number__of_1) ).
fof(f9303,plain,
( spl0_241
| ~ spl0_240
| ~ spl0_118
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9302,f5798,f3823,f7584,f7588]) ).
fof(f9302,plain,
( ! [X9,X4] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X4 = X9 )
| ~ spl0_118
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f9301]) ).
fof(f9301,plain,
( ! [X9,X4] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X4 = X9 )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9300,f5799]) ).
fof(f9300,plain,
( ! [X2,X10,X8,X6,X9,X7,X4] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X4 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9299,f5799]) ).
fof(f9299,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X4 = X9 )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6566,f5799]) ).
fof(f6566,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X4 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4680,f5799]) ).
fof(f4680,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X4 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X8,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_118 ),
inference(resolution,[],[f2945,f3825]) ).
fof(f2945,axiom,
! [X113,X111,X116,X91,X86,X107,X114,X102,X12,X13,X115,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X114 = X116
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_3) ).
fof(f9284,plain,
( ~ spl0_249
| spl0_299
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9283,f5798,f8027,f7658]) ).
fof(f8027,plain,
( spl0_299
<=> ! [X60] : c_List_Olist_ONil = X60 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f9283,plain,
( ! [X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9282,f5799]) ).
fof(f9282,plain,
( ! [X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5906,f5799]) ).
fof(f5906,plain,
( ! [X1,X5,X23] :
( ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_List_Olist_ONil = X23 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f56,f5799]) ).
fof(f56,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f9278,plain,
( spl0_309
| spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9277,f5798,f8142,f8139]) ).
fof(f9277,plain,
( ! [X1,X27,X5] :
( c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9276,f5799]) ).
fof(f9276,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5863,f5799]) ).
fof(f5863,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2376,f5799]) ).
fof(f2376,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff_1) ).
fof(f9273,plain,
( spl0_256
| spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9272,f5798,f7658,f7705]) ).
fof(f9272,plain,
( ! [X18,X1,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9271,f5799]) ).
fof(f9271,plain,
( ! [X2,X18,X1,X12,X13] :
( ~ c_in(X18,X12,X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Sum__Type_OPlus(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6875,f5799]) ).
fof(f6875,plain,
( ! [X2,X1,X18,X12,X13] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f113,f5799]) ).
fof(f113,axiom,
! [X2,X18,X1,X12,X13] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f9270,plain,
( spl0_382
| spl0_383
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9263,f5798,f9268,f9265]) ).
fof(f9265,plain,
( spl0_382
<=> ! [X48,X11] : c_lessequals(X11,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f9268,plain,
( spl0_383
<=> ! [X1] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f9263,plain,
( ! [X48,X11,X1] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_lessequals(X11,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7277,f5799]) ).
fof(f7277,plain,
( ! [X48,X11,X1] :
( c_lessequals(X11,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_IntDef_Oof__int(X11,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1410,f5799]) ).
fof(f1410,axiom,
! [X48,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(X11,X48,tc_IntDef_Oint)
| ~ c_lessequals(c_IntDef_Oof__int(X11,X1),c_IntDef_Oof__int(X48,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__le__iff_0) ).
fof(f9262,plain,
( spl0_381
| spl0_345
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9258,f5798,f8602,f9260]) ).
fof(f9260,plain,
( spl0_381
<=> ! [X27,X1] :
( c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(c_1,X27,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f8602,plain,
( spl0_345
<=> ! [X21,X15] : ~ c_lessequals(X15,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f9258,plain,
( ! [X3,X0,X1,X27] :
( ~ c_lessequals(X0,X3,tc_nat)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7239,f5799]) ).
fof(f7239,plain,
( ! [X3,X0,X1,X27] :
( ~ c_less(c_1,X27,X1)
| ~ c_lessequals(X0,X3,tc_nat)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Opower(X27,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2351,f5799]) ).
fof(f2351,axiom,
! [X3,X0,X1,X27] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_Nat_Opower(X27,X0,X1),c_Nat_Opower(X27,X3,X1),X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1)
| ~ c_lessequals(X0,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__increasing__iff_1) ).
fof(f9257,plain,
( ~ spl0_269
| spl0_380
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9253,f5798,f9255,f7809]) ).
fof(f9255,plain,
( spl0_380
<=> ! [X17,X15] : c_times(X17,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f9253,plain,
( ! [X17,X15] :
( c_times(X17,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) = X15
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6082,f5799]) ).
fof(f6082,plain,
( ! [X17,X15] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f27,f5799]) ).
fof(f27,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f9249,plain,
( ~ spl0_379
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7411,f5798,f9246]) ).
fof(f7411,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2891,f5799]) ).
fof(f2891,axiom,
! [X91,X86] : ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__notin__used__empty_0) ).
fof(f9242,plain,
( ~ spl0_351
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6269,f5798,f8665]) ).
fof(f8665,plain,
( spl0_351
<=> c_emptyset = c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f6269,plain,
( c_emptyset != c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4723,f5799]) ).
fof(f4723,plain,
! [X3,X4,X5] : c_emptyset != c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X3,X4),X5,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2859]) ).
fof(f2859,axiom,
! [X88,X86,X87] : c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X86,X87),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X86,X87),c_Message_Oanalz(c_insert(X86,c_insert(X87,X88,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__insert__MPair_0) ).
fof(f9238,plain,
( spl0_235
| spl0_234
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9237,f5798,f7550,f7553]) ).
fof(f9237,plain,
( ! [X6,X30] :
( ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9236,f5799]) ).
fof(f9236,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9235,f5799]) ).
fof(f9235,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5850,f5799]) ).
fof(f5850,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f83,f5799]) ).
fof(f83,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_1) ).
fof(f9234,plain,
( spl0_362
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9233,f5798,f8847]) ).
fof(f9233,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5856,f5799]) ).
fof(f5856,plain,
( ! [X2,X18,X1,X27] : c_0 = c_Nat_Osize(c_Pair(X18,X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1178,f5799]) ).
fof(f1178,axiom,
! [X2,X18,X1,X27] : c_0 = c_Nat_Osize(c_Pair(X18,X27,X1,X2),tc_prod(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oprod_Osize_0) ).
fof(f9218,plain,
( ~ spl0_376
| spl0_261
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9217,f5798,f7741,f9109]) ).
fof(f9109,plain,
( spl0_376
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Wellfounded__Relations_Oless__than,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f9217,plain,
( ! [X3,X0] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Wellfounded__Relations_Oless__than,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5900,f5799]) ).
fof(f5900,plain,
( ! [X3,X0] :
( ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_less(X0,X3,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2726,f5799]) ).
fof(f2726,axiom,
! [X3,X0] :
( ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X0,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff_0) ).
fof(f9213,plain,
( spl0_338
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6675,f5798,f8531]) ).
fof(f8531,plain,
( spl0_338
<=> ! [X1,X3] : c_List_Olast(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f6675,plain,
( ! [X0,X1] : c_List_Olast(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) = X0
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1588,f5799]) ).
fof(f1588,axiom,
! [X0,X1] : c_List_Olast(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olast_Osimps_0) ).
fof(f9211,plain,
( spl0_241
| spl0_324
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9210,f5798,f8329,f7588]) ).
fof(f8329,plain,
( spl0_324
<=> ! [X1] : ~ class_OrderedGroup_Oab__group__add(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f9210,plain,
( ! [X1,X18,X27] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| X18 = X27 )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9209]) ).
fof(f9209,plain,
( ! [X18,X1,X27] :
( X18 = X27
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_OrderedGroup_Oab__group__add(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6439,f5799]) ).
fof(f6439,plain,
( ! [X1,X18,X27] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(X27,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X18 = X27 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2227,f5799]) ).
fof(f2227,axiom,
! [X1,X18,X27] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| X18 = X27
| c_uminus(X18,X1) != c_uminus(X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oneg__equal__iff__equal_0) ).
fof(f9198,plain,
( ~ spl0_269
| spl0_241
| spl0_324
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7011,f5798,f8329,f7588,f7809]) ).
fof(f7011,plain,
( ! [X1,X18,X27] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| X18 = X27
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2199,f5799]) ).
fof(f2199,axiom,
! [X1,X18,X27] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| X18 = X27
| c_0 != c_minus(X18,X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).
fof(f9197,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9196,f5798,f7650,f7756]) ).
fof(f9196,plain,
( ! [X12,X13] :
( c_in(X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9195,f5799]) ).
fof(f9195,plain,
( ! [X15,X12,X13] :
( c_in(X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X12,X15),X13,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7089,f5799]) ).
fof(f7089,plain,
( ! [X15,X12,X13] :
( c_in(X12,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X12,X15),X13,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5000,f5799]) ).
fof(f5000,plain,
! [X14,X15,X12,X13] :
( ~ c_in(c_Message_Omsg_OMPair(X12,X15),X13,tc_Message_Omsg)
| c_in(X12,c_Message_Oanalz(c_union(X13,X14,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4541,f2641]) ).
fof(f2641,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f9190,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9189,f5798,f7650,f7495]) ).
fof(f9189,plain,
( ! [X87] :
( c_in(X87,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9188,f5799]) ).
fof(f9188,plain,
( ! [X88,X87] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X87,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7357,f5799]) ).
fof(f7357,plain,
( ! [X88,X87] :
( c_in(X87,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2841,f5799]) ).
fof(f2841,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X87,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz_1) ).
fof(f9187,plain,
( ~ spl0_269
| spl0_378
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7008,f5798,f9185,f7809]) ).
fof(f9185,plain,
( spl0_378
<=> ! [X12,X1] :
( c_emptyset = X12
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f7008,plain,
( ! [X1,X12] :
( c_emptyset = X12
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1276,f5799]) ).
fof(f1276,axiom,
! [X1,X12] :
( c_0 != c_Finite__Set_Ocard(X12,X1)
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_emptyset = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ocard__0__eq_0) ).
fof(f9177,plain,
( spl0_240
| ~ spl0_139
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9176,f5798,f3938,f7584]) ).
fof(f3938,plain,
( spl0_139
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f9176,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_139
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6561,f5799]) ).
fof(f6561,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_139
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3940,f5799]) ).
fof(f3940,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f3938]) ).
fof(f9174,plain,
( spl0_235
| spl0_226
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9173,f5798,f7512,f7553]) ).
fof(f9173,plain,
( ! [X1,X27,X5] :
( ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9172,f5799]) ).
fof(f9172,plain,
( ! [X2,X1,X27,X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5845,f5799]) ).
fof(f5845,plain,
( ! [X2,X1,X27,X5] :
( c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f75,f5799]) ).
fof(f75,axiom,
! [X2,X1,X27,X5] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f9166,plain,
( ~ spl0_220
| spl0_272
| spl0_221
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6931,f5798,f7466,f7830,f7462]) ).
fof(f7830,plain,
( spl0_272
<=> ! [X0] : ~ c_Parity_Oeven(X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f7466,plain,
( spl0_221
<=> ! [X0] : c_Parity_Oeven(X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f6931,plain,
( ! [X3,X0] :
( c_Parity_Oeven(X0,tc_nat)
| ~ c_Parity_Oeven(X3,tc_nat)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2286,f5799]) ).
fof(f2286,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X3,tc_nat)
| ~ c_Parity_Oeven(c_plus(X0,X3,tc_nat),tc_nat)
| c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__sum_0) ).
fof(f9163,plain,
( spl0_220
| spl0_377
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9159,f5798,f9161,f7462]) ).
fof(f9161,plain,
( spl0_377
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,X0,X1)
| ~ c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f9159,plain,
( ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_lessequals(c_0,X0,X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7190,f5799]) ).
fof(f7190,plain,
( ! [X0,X11,X1] :
( ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,X0,X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2328,f5799]) ).
fof(f2328,axiom,
! [X0,X11,X1] :
( ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_lessequals(c_0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__le__power__eq__number__of_0) ).
fof(f9152,plain,
( spl0_237
| ~ spl0_240
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9151,f5798,f7588,f7584,f7567]) ).
fof(f7567,plain,
( spl0_237
<=> ! [X102] : ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f9151,plain,
( ! [X113,X115,X102] :
( X113 = X115
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f9150]) ).
fof(f9150,plain,
( ! [X113,X115,X102] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X113 = X115
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9149,f5799]) ).
fof(f9149,plain,
( ! [X113,X111,X91,X107,X114,X102,X115,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X113 = X115
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9148,f5799]) ).
fof(f9148,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X115,X12,X13,X102,X112] :
( X113 = X115
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6555,f5799]) ).
fof(f6555,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X12,X115,X13,X102,X112] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X113 = X115
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2944,f5799]) ).
fof(f2944,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X13,X115,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X113 = X115
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).
fof(f9133,plain,
( ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6355,f5798,f7523]) ).
fof(f6355,plain,
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4728,f5799]) ).
fof(f4728,plain,
! [X16,X15] : c_emptyset != c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X15),X16,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2878]) ).
fof(f2878,axiom,
! [X88,X7] : c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X7),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X7),c_Message_Oparts(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Nonce_0) ).
fof(f9132,plain,
( ~ spl0_293
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7401,f5798,f7984]) ).
fof(f7984,plain,
( spl0_293
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f7401,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_OsymKeys,tc_nat)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2910,f5799]) ).
fof(f2910,axiom,
! [X27,X12] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X27,X12)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__priK_0) ).
fof(f9128,plain,
( spl0_256
| spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9127,f5798,f7658,f7705]) ).
fof(f9127,plain,
( ! [X18,X1,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9126,f5799]) ).
fof(f9126,plain,
( ! [X18,X1,X12] :
( c_in(c_Pair(X18,X18,X1,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5871,f5799]) ).
fof(f5871,plain,
( ! [X18,X1,X12] :
( c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f81,f5799]) ).
fof(f81,axiom,
! [X18,X1,X12] :
( c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| ~ c_in(X18,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f9120,plain,
( spl0_264
| ~ spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6473,f5798,f7730,f7771]) ).
fof(f6473,plain,
( ! [X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2291,f5799]) ).
fof(f2291,axiom,
! [X0] :
( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__neg_0) ).
fof(f9119,plain,
( spl0_221
| spl0_221
| ~ spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6007,f5798,f7462,f7466,f7466]) ).
fof(f6007,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(X3,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2283,f5799]) ).
fof(f2283,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(c_times(X0,X3,tc_nat),tc_nat)
| c_Parity_Oeven(X3,tc_nat)
| c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__product_0) ).
fof(f9117,plain,
( spl0_235
| spl0_234
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9116,f5798,f7550,f7553]) ).
fof(f9116,plain,
( ! [X6,X4] :
( ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9115,f5799]) ).
fof(f9115,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9114,f5799]) ).
fof(f9114,plain,
( ! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5812,f5799]) ).
fof(f5812,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4,f5799]) ).
fof(f4,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_1) ).
fof(f9112,plain,
( spl0_223
| spl0_376
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9107,f5798,f9109,f7481]) ).
fof(f7481,plain,
( spl0_223
<=> ! [X21,X15] : ~ c_less(X15,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f9107,plain,
( ! [X3,X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Wellfounded__Relations_Oless__than,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_less(X0,X3,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5901,f5799]) ).
fof(f5901,plain,
( ! [X3,X0] :
( c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_less(X0,X3,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2727,f5799]) ).
fof(f2727,axiom,
! [X3,X0] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff_1) ).
fof(f9106,plain,
( ~ spl0_220
| spl0_290
| spl0_202
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9105,f5798,f4482,f7950,f7462]) ).
fof(f7950,plain,
( spl0_290
<=> ! [X1] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f9105,plain,
( ! [X0,X1] :
( c_0 = X0
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7195,f5799]) ).
fof(f7195,plain,
( ! [X0,X11,X1] :
( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = X0
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2335,f5799]) ).
fof(f2335,axiom,
! [X0,X11,X1] :
( c_0 = X0
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_4) ).
fof(f9097,plain,
( spl0_202
| spl0_375
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7222,f5798,f9095,f4482]) ).
fof(f9095,plain,
( spl0_375
<=> ! [X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f7222,plain,
( ! [X1,X18] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = X18
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2179,f5799]) ).
fof(f2179,axiom,
! [X18,X1] :
( c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_HOL_Oabs(X18,X1),c_0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__le__zero__iff_0) ).
fof(f9091,plain,
( spl0_234
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9090,f5798,f7553,f7550]) ).
fof(f9090,plain,
( ! [X4,X13] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9089,f5799]) ).
fof(f9089,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9088,f5799]) ).
fof(f9088,plain,
( ! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9087,f5799]) ).
fof(f9087,plain,
( ! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5823,f5799]) ).
fof(f5823,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f14,f5799]) ).
fof(f14,axiom,
! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f9086,plain,
( spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6557,f5798,f8142]) ).
fof(f6557,plain,
( ! [X2,X0] : c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4769,f5799]) ).
fof(f4769,plain,
! [X2,X0,X1] : c_in(X0,c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),X2),
inference(superposition,[],[f2684,f1748]) ).
fof(f9078,plain,
( ~ spl0_251
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6495,f5798,f7672]) ).
fof(f6495,plain,
( ~ c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4232,f5799]) ).
fof(f4232,plain,
! [X21] : ~ c_lessequals(c_0,c_uminus(c_plus(c_1,c_IntDef_Oint(X21),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(backward_demodulation,[],[f3182,f3159]) ).
fof(f3159,plain,
! [X15] : c_plus(c_1,c_IntDef_Oint(X15),tc_IntDef_Oint) = c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X15,tc_nat),tc_nat)),
inference(definition_unfolding,[],[f1372,f2544]) ).
fof(f1372,axiom,
! [X15] : c_IntDef_Oint(c_Suc(X15)) = c_plus(c_1,c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__Suc_0) ).
fof(f3182,plain,
! [X21] : ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint),
inference(definition_unfolding,[],[f1394,f2544]) ).
fof(f1394,axiom,
! [X21] : ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onot__zle__0__negative_0) ).
fof(f9069,plain,
( spl0_260
| spl0_259
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6474,f5798,f7727,f7730]) ).
fof(f6474,plain,
( ! [X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2292,f5799]) ).
fof(f2292,axiom,
! [X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__neg_1) ).
fof(f9066,plain,
( spl0_358
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7443,f5798,f8781]) ).
fof(f8781,plain,
( spl0_358
<=> c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f7443,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2790,f5799]) ).
fof(f2790,axiom,
! [X96,X94] : c_0 = c_Nat_Osize(c_Event_Oevent_ONotes(X94,X96),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Osize__3_0) ).
fof(f9056,plain,
( ~ spl0_336
| spl0_190
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9055,f5798,f4247,f8485]) ).
fof(f8485,plain,
( spl0_336
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f4247,plain,
( spl0_190
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f9055,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| spl0_190
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7424,f5799]) ).
fof(f7424,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| spl0_190
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4249,f5799]) ).
fof(f4249,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| spl0_190 ),
inference(avatar_component_clause,[],[f4247]) ).
fof(f9054,plain,
( spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9053,f5798,f7650]) ).
fof(f9053,plain,
( ! [X0] : c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6272,f5799]) ).
fof(f6272,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4996,f5799]) ).
fof(f4996,plain,
! [X2,X0,X1] : c_in(X0,c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f4541,f2684]) ).
fof(f9052,plain,
( spl0_358
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7440,f5798,f8781]) ).
fof(f7440,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2789,f5799]) ).
fof(f2789,axiom,
! [X96,X94] : c_0 = c_Nat_Osize(c_Event_Oevent_OGets(X94,X96),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Osize__2_0) ).
fof(f9049,plain,
( spl0_277
| spl0_374
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7127,f5798,f9047,f7871]) ).
fof(f9047,plain,
( spl0_374
<=> ! [X1] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f7127,plain,
( ! [X21,X1] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1806,f5799]) ).
fof(f1806,axiom,
! [X21,X1] :
( ~ c_less(c_0,c_NatArith_Oof__nat(X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__0__less__iff_0) ).
fof(f9044,plain,
( spl0_373
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9040,f5798,f7588,f9042]) ).
fof(f9040,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9039]) ).
fof(f9039,plain,
( ! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1)
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7341,f5799]) ).
fof(f7341,plain,
( ! [X3,X0,X1] :
( c_SetInterval_OgreaterThan(X3,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X0 = X3
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2557,f5799]) ).
fof(f2557,axiom,
! [X3,X0,X1] :
( X0 = X3
| ~ class_Orderings_Olinorder(X1)
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff_0) ).
fof(f9038,plain,
( spl0_237
| ~ spl0_240
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9037,f5798,f7650,f7584,f7567]) ).
fof(f9037,plain,
( ! [X86,X102] :
( c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9036,f5799]) ).
fof(f9036,plain,
( ! [X86,X102,X13] :
( c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X13,X86),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f9035,f5799]) ).
fof(f9035,plain,
( ! [X86,X102,X13] :
( c_in(X86,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X13,X86),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6552,f7115]) ).
fof(f6552,plain,
( ! [X86,X102,X13] :
( c_in(X86,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X13,X86),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2936,f5799]) ).
fof(f2936,axiom,
! [X86,X102,X13] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X13,X86),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X86,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f9021,plain,
( spl0_241
| spl0_341
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9020,f5798,f8560,f7588]) ).
fof(f8560,plain,
( spl0_341
<=> ! [X1] : ~ class_Ring__and__Field_Oordered__semidom(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f9020,plain,
( ! [X21,X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| X15 = X21 )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f9019]) ).
fof(f9019,plain,
( ! [X21,X1,X15] :
( X15 = X21
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7130,f5799]) ).
fof(f7130,plain,
( ! [X21,X1,X15] :
( c_NatArith_Oof__nat(X15,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X15 = X21
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1813,f5799]) ).
fof(f1813,axiom,
! [X21,X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| X15 = X21
| c_NatArith_Oof__nat(X21,X1) != c_NatArith_Oof__nat(X15,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__eq__iff_0) ).
fof(f8999,plain,
( spl0_371
| spl0_372
| spl0_371
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8991,f5798,f8993,f8996,f8993]) ).
fof(f8996,plain,
( spl0_372
<=> c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f8993,plain,
( spl0_371
<=> ! [X36,X1] : ~ c_Wellfounded__Recursion_Owf(X36,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f8991,plain,
( ! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_Wellfounded__Recursion_Owf(X36,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5854,f5799]) ).
fof(f5854,plain,
( ! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X36,X1)
| ~ c_Wellfounded__Recursion_Owf(X35,X2)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f127,f5799]) ).
fof(f127,axiom,
! [X2,X36,X1,X35] :
( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2))
| ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f8969,plain,
( spl0_264
| spl0_259
| ~ spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6908,f5798,f7730,f7727,f7771]) ).
fof(f6908,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2299,f5799]) ).
fof(f2299,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(c_plus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__sum_0) ).
fof(f8966,plain,
( spl0_327
| ~ spl0_242
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8965,f5798,f4293,f3828,f7597,f8348]) ).
fof(f8348,plain,
( spl0_327
<=> ! [X30] : c_lessequals(X30,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f8965,plain,
( ! [X2] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(X2,c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8964,f5799]) ).
fof(f8964,plain,
( ! [X2,X1] :
( ~ c_lessequals(c_plus(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(X2,c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6634,f5799]) ).
fof(f6634,plain,
( ! [X2,X0,X1] :
( c_lessequals(X2,c_1,tc_nat)
| ~ c_lessequals(c_plus(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat),c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5464,f5799]) ).
fof(f5464,plain,
( ! [X2,X0,X1] :
( c_lessequals(X2,c_1,tc_nat)
| ~ c_lessequals(c_plus(c_plus(c_Nat_Osize(X0,tc_Message_Omsg),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat),c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2082,f4431]) ).
fof(f2082,axiom,
! [X21,X16,X15] :
( ~ c_lessequals(c_plus(X16,X15,tc_nat),c_plus(X16,X21,tc_nat),tc_nat)
| c_lessequals(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__le_0) ).
fof(f8948,plain,
( spl0_369
| ~ spl0_370
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8943,f5798,f8945,f8922]) ).
fof(f8922,plain,
( spl0_369
<=> ! [X17,X15] : c_Message_Omsg_OAgent(X15) = X17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f8943,plain,
( ! [X14,X12] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Message_Omsg_OAgent(X12) = X14 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6209,f5799]) ).
fof(f6209,plain,
( ! [X14,X12,X13] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X12),X13,tc_Message_Omsg))
| c_Message_Omsg_OAgent(X12) = X14 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5151,f5799]) ).
fof(f5151,plain,
! [X14,X12,X13] :
( c_Message_Omsg_OAgent(X12) = X14
| c_insert(X14,c_emptyset,tc_Message_Omsg) != c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X12),X13,tc_Message_Omsg)) ),
inference(superposition,[],[f2692,f2855]) ).
fof(f8940,plain,
( ~ spl0_260
| spl0_264
| spl0_259
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7044,f5798,f7727,f7771,f7730]) ).
fof(f7044,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2274,f5799]) ).
fof(f2274,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(c_minus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__difference_0) ).
fof(f8938,plain,
( spl0_234
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8937,f5798,f7553,f7550]) ).
fof(f8937,plain,
( ! [X4,X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8936,f5799]) ).
fof(f8936,plain,
( ! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8935,f5799]) ).
fof(f8935,plain,
( ! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5813,f5799]) ).
fof(f5813,plain,
( ! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5,f5799]) ).
fof(f5,axiom,
! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_2) ).
fof(f8934,plain,
( spl0_202
| ~ spl0_276
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7254,f5798,f7867,f4482]) ).
fof(f7254,plain,
( ! [X21] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_0 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2341,f5799]) ).
fof(f2341,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(c_0,c_Nat_Opower(c_0,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_0) ).
fof(f8931,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8930,f5798,f3989,f7650,f7495]) ).
fof(f8930,plain,
( ! [X4] :
( c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8929,f5799]) ).
fof(f8929,plain,
( ! [X3,X4] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8928,f5799]) ).
fof(f8928,plain,
( ! [X3,X4] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6315,f5799]) ).
fof(f6315,plain,
( ! [X2,X3,X4] :
( c_in(X4,c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5530,f5799]) ).
fof(f5530,plain,
( ! [X2,X3,X4] :
( c_in(X4,c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Osynth(c_insert(c_Message_Omsg_OAgent(X2),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2841,f4556]) ).
fof(f8924,plain,
( spl0_369
| ~ spl0_307
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8920,f5798,f8115,f8922]) ).
fof(f8115,plain,
( spl0_307
<=> c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f8920,plain,
( ! [X17,X15] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Message_Omsg_OAgent(X15) = X17 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6210,f5799]) ).
fof(f6210,plain,
( ! [X16,X17,X15] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X15),X16,tc_Message_Omsg))
| c_Message_Omsg_OAgent(X15) = X17 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5152,f5799]) ).
fof(f5152,plain,
! [X16,X17,X15] :
( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X15),X16,tc_Message_Omsg)) != c_insert(X17,c_emptyset,tc_Message_Omsg)
| c_Message_Omsg_OAgent(X15) = X17 ),
inference(superposition,[],[f2692,f2872]) ).
fof(f2872,axiom,
! [X88,X110] : c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X110),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X110),c_Message_Oparts(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_0) ).
fof(f8919,plain,
( ~ spl0_367
| spl0_368
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8911,f5798,f8917,f8913]) ).
fof(f8913,plain,
( spl0_367
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f8917,plain,
( spl0_368
<=> ! [X5] : c_in(X5,c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f8911,plain,
( ! [X5] :
( c_in(X5,c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8910,f5799]) ).
fof(f8910,plain,
( ! [X2,X1,X5] :
( ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X5,c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5837,f5799]) ).
fof(f5837,plain,
( ! [X2,X1,X5] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1289,f5799]) ).
fof(f1289,axiom,
! [X2,X1,X5] :
( ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
| c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse_0) ).
fof(f8909,plain,
( spl0_220
| spl0_272
| spl0_272
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6933,f5798,f7830,f7830,f7462]) ).
fof(f6933,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(X3,tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2288,f5799]) ).
fof(f2288,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X0,tc_nat)
| ~ c_Parity_Oeven(X3,tc_nat)
| c_Parity_Oeven(c_plus(X0,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__sum_2) ).
fof(f8908,plain,
( spl0_326
| spl0_325
| spl0_268
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f5973,f5798,f7806,f8334,f8337]) ).
fof(f8334,plain,
( spl0_325
<=> ! [X4] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != X4
| c_0 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f7806,plain,
( spl0_268
<=> ! [X2] : c_1 = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f5973,plain,
( ! [X1,X27,X4] :
( c_1 = X27
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != X4
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X4 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2472,f5799]) ).
fof(f2472,axiom,
! [X1,X27,X4] :
( c_1 = X27
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_times(X27,X4,X1) != X4
| c_0 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_0) ).
fof(f8905,plain,
( spl0_241
| spl0_326
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8904,f5798,f8337,f7588]) ).
fof(f8904,plain,
( ! [X48,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X11 = X48 )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f8903]) ).
fof(f8903,plain,
( ! [X48,X11,X1] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X11 = X48
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7274,f5799]) ).
fof(f7274,plain,
( ! [X48,X11,X1] :
( X11 = X48
| c_IntDef_Oof__int(X11,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1406,f5799]) ).
fof(f1406,axiom,
! [X48,X11,X1] :
( c_IntDef_Oof__int(X48,X1) != c_IntDef_Oof__int(X11,X1)
| X11 = X48
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__eq__iff_0) ).
fof(f8902,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8901,f5798,f7650,f7756]) ).
fof(f8901,plain,
( ! [X12,X13] :
( c_in(X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8900,f5799]) ).
fof(f8900,plain,
( ! [X12,X13] :
( c_in(X12,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7087,f5799]) ).
fof(f7087,plain,
( ! [X15,X12,X13] :
( ~ c_in(c_Message_Omsg_OMPair(X15,X12),X13,tc_Message_Omsg)
| c_in(X12,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4976,f5799]) ).
fof(f4976,plain,
! [X14,X15,X12,X13] :
( ~ c_in(c_Message_Omsg_OMPair(X15,X12),X13,tc_Message_Omsg)
| c_in(X12,c_Message_Oanalz(c_union(X13,X14,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4538,f2641]) ).
fof(f8897,plain,
( spl0_259
| spl0_260
| spl0_259
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7046,f5798,f7727,f7730,f7727]) ).
fof(f7046,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2276,f5799]) ).
fof(f2276,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(c_minus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__difference_2) ).
fof(f8895,plain,
( spl0_338
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8894,f5798,f8531]) ).
fof(f8894,plain,
( ! [X3,X1] : c_List_Olast(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) = X3
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6676,f5799]) ).
fof(f6676,plain,
( ! [X3,X1,X23] : c_List_Olast(c_append(X23,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1),X1) = X3
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1595,f5799]) ).
fof(f1595,axiom,
! [X3,X1,X23] : c_List_Olast(c_append(X23,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olast__snoc_0) ).
fof(f8889,plain,
( spl0_241
| ~ spl0_360
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8888,f5798,f8813,f7588]) ).
fof(f8813,plain,
( spl0_360
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f8888,plain,
( ! [X18,X27] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| X18 = X27 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5879,f5799]) ).
fof(f5879,plain,
( ! [X18,X1,X27] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| X18 = X27 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2387,f5799]) ).
fof(f2387,axiom,
! [X18,X1,X27] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| X18 = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv_0) ).
fof(f8887,plain,
( spl0_277
| ~ spl0_276
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6005,f5798,f7867,f7871]) ).
fof(f6005,plain,
( ! [X21] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2079,f5799]) ).
fof(f2079,axiom,
! [X21,X15] :
( ~ c_less(c_0,c_times(X15,X21,tc_nat),tc_nat)
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__0__less__mult__iff_1) ).
fof(f8884,plain,
( spl0_366
| spl0_223
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8880,f5798,f7481,f8882]) ).
fof(f8882,plain,
( spl0_366
<=> ! [X27,X1] :
( ~ c_less(c_1,X27,X1)
| ~ class_Power_Orecpower(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f8880,plain,
( ! [X3,X0,X1,X27] :
( ~ c_less(X0,X3,tc_nat)
| ~ c_less(c_1,X27,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7242,f5799]) ).
fof(f7242,plain,
( ! [X3,X0,X1,X27] :
( ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1)
| ~ c_less(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Opower(X27,X3,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2356,f5799]) ).
fof(f2356,axiom,
! [X3,X0,X1,X27] :
( ~ c_less(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1)
| c_less(c_Nat_Opower(X27,X0,X1),c_Nat_Opower(X27,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__strict__increasing__iff_1) ).
fof(f8879,plain,
( spl0_364
| spl0_365
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7272,f5798,f8877,f8874]) ).
fof(f8874,plain,
( spl0_364
<=> ! [X48] : ~ c_less(c_0,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f8877,plain,
( spl0_365
<=> ! [X1] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f7272,plain,
( ! [X48,X1] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_0,X48,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1400,f5799]) ).
fof(f1400,axiom,
! [X48,X1] :
( ~ c_less(c_0,X48,tc_IntDef_Oint)
| c_less(c_0,c_IntDef_Oof__int(X48,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__0__less__iff_1) ).
fof(f8872,plain,
( ~ spl0_351
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6285,f5798,f8665]) ).
fof(f6285,plain,
( c_emptyset != c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4724,f5799]) ).
fof(f4724,plain,
! [X6,X7] : c_emptyset != c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X6),X7,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2855]) ).
fof(f8870,plain,
( ~ spl0_269
| spl0_363
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8866,f5798,f8868,f7809]) ).
fof(f8868,plain,
( spl0_363
<=> ! [X17,X15] : c_times(X17,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f8866,plain,
( ! [X17,X15] :
( c_times(X17,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) = X15
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6073,f5799]) ).
fof(f6073,plain,
( ! [X17,X15] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f43,f5799]) ).
fof(f43,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f8865,plain,
( spl0_340
| spl0_202
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8864,f5798,f4482,f8549]) ).
fof(f8549,plain,
( spl0_340
<=> c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f8864,plain,
( ! [X0] :
( c_0 = X0
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7229,f5799]) ).
fof(f7229,plain,
( ! [X21,X0] :
( c_less(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = X0 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1485,f5799]) ).
fof(f1485,axiom,
! [X21,X0] :
( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X21,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_1) ).
fof(f8859,plain,
( ~ spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8858,f5798,f7658]) ).
fof(f8858,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8857,f5799]) ).
fof(f8857,plain,
( ! [X0,X1] : ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5915,f5799]) ).
fof(f5915,plain,
( ! [X0,X1,X5] : ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1618,f5799]) ).
fof(f1618,axiom,
! [X0,X1,X5] : ~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olexord__Nil__right_0) ).
fof(f8850,plain,
( spl0_362
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8845,f5798,f8847]) ).
fof(f8845,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6883,f5799]) ).
fof(f6883,plain,
( ! [X2,X1,X27] : c_0 = c_Nat_Osize(c_Sum__Type_OInr(X27,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1180,f5799]) ).
fof(f1180,axiom,
! [X2,X1,X27] : c_0 = c_Nat_Osize(c_Sum__Type_OInr(X27,X2,X1),tc_sum(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Osum_Osize__2_0) ).
fof(f8839,plain,
( spl0_298
| spl0_299
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8838,f5798,f8027,f8024]) ).
fof(f8024,plain,
( spl0_298
<=> ! [X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f8838,plain,
( ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6512,f5799]) ).
fof(f6512,plain,
( ! [X1,X23] :
( c_in(c_List_Ohd(X23,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_List_Olist_ONil = X23 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1582,f5799]) ).
fof(f1582,axiom,
! [X1,X23] :
( c_in(c_List_Ohd(X23,X1),c_List_Oset(X23,X1),X1)
| c_List_Olist_ONil = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ohd__in__set_0) ).
fof(f8837,plain,
( spl0_277
| ~ spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7247,f5798,f7462,f7871]) ).
fof(f7247,plain,
( ! [X3] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(c_0,X3,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2281,f5799]) ).
fof(f2281,axiom,
! [X3,X0] :
( c_less(c_0,X3,tc_nat)
| ~ c_Parity_Oeven(c_Nat_Opower(X0,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__power_1) ).
fof(f8830,plain,
( spl0_237
| ~ spl0_240
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8829,f5798,f7588,f7584,f7567]) ).
fof(f8829,plain,
( ! [X102,X13,X112] :
( X13 = X112
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f8828]) ).
fof(f8828,plain,
( ! [X102,X13,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X13 = X112
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8827,f5799]) ).
fof(f8827,plain,
( ! [X91,X116,X86,X102,X12,X13,X115,X112] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X13 = X112 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8826,f5799]) ).
fof(f8826,plain,
( ! [X91,X116,X86,X102,X12,X13,X112,X115] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X13 = X112
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6554,f5799]) ).
fof(f6554,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X13,X112,X115] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X13 = X112
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2943,f5799]) ).
fof(f8825,plain,
( spl0_361
| ~ spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8821,f5798,f7658,f8823]) ).
fof(f8823,plain,
( spl0_361
<=> ! [X1] : ~ c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f8821,plain,
( ! [X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8820,f5799]) ).
fof(f8820,plain,
( ! [X3,X0,X1] :
( ~ c_in(c_Pair(X0,X3,X1,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8819,f5799]) ).
fof(f8819,plain,
( ! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8818,f5799]) ).
fof(f8818,plain,
( ! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5893,f5799]) ).
fof(f5893,plain,
( ! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4132,f5799]) ).
fof(f4132,plain,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)) ),
inference(backward_demodulation,[],[f3138,f3109]) ).
fof(f3109,plain,
! [X1,X5] : c_union(c_Transitive__Closure_Otrancl(X5,X1),c_Relation_OId,tc_prod(X1,X1)) = c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),
inference(definition_unfolding,[],[f2716,f2708]) ).
fof(f2708,axiom,
! [X1,X5] : c_Transitive__Closure_Ortrancl(X5,X1) = c_union(c_Transitive__Closure_Otrancl(X5,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Oreflcl__trancl_0) ).
fof(f2716,axiom,
! [X1,X5] : c_Transitive__Closure_Ortrancl(X5,X1) = c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__reflcl_0) ).
fof(f3138,plain,
! [X3,X0,X1,X5] :
( ~ c_in(c_Pair(X0,X3,X1,X1),c_union(c_Transitive__Closure_Otrancl(X5,X1),c_Relation_OId,tc_prod(X1,X1)),tc_prod(X1,X1))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
inference(definition_unfolding,[],[f2723,f2708]) ).
fof(f2723,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert_1) ).
fof(f8816,plain,
( spl0_360
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8811,f5798,f8813]) ).
fof(f8811,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5880,f5799]) ).
fof(f5880,plain,
( ! [X0,X1] : c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2388,f5799]) ).
fof(f2388,axiom,
! [X0,X1] : c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv_1) ).
fof(f8805,plain,
( ~ spl0_315
| spl0_317
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7093,f5798,f8246,f8218]) ).
fof(f8218,plain,
( spl0_315
<=> c_emptyset = c_Message_OkeysFor(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f8246,plain,
( spl0_317
<=> ! [X9] : c_emptyset = c_Message_OkeysFor(X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f7093,plain,
( ! [X8] :
( c_emptyset = c_Message_OkeysFor(X8)
| c_emptyset != c_Message_OkeysFor(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5191,f5799]) ).
fof(f5191,plain,
! [X8,X7] :
( c_emptyset != c_Message_OkeysFor(c_union(X7,X8,tc_Message_Omsg))
| c_emptyset = c_Message_OkeysFor(X8) ),
inference(superposition,[],[f2636,f2742]) ).
fof(f2742,axiom,
! [X88,X93] : c_Message_OkeysFor(c_union(X88,X93,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X88),c_Message_OkeysFor(X93),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
fof(f8802,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8801,f5798,f7650,f7756]) ).
fof(f8801,plain,
( ! [X19,X20] :
( c_in(X19,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X20,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7373,f5799]) ).
fof(f7373,plain,
( ! [X19,X20] :
( c_in(X19,c_Message_Oanalz(c_Message_Osynth(X20)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X20,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4978,f5799]) ).
fof(f4978,plain,
! [X21,X19,X20] :
( c_in(X19,c_Message_Oanalz(c_Message_Osynth(X20)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X21,X19),X20,tc_Message_Omsg) ),
inference(resolution,[],[f4538,f2886]) ).
fof(f8799,plain,
( spl0_285
| ~ spl0_242
| spl0_292
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8798,f5798,f7980,f7597,f7928]) ).
fof(f8798,plain,
( ! [X21,X16,X15] :
( ~ c_less(c_0,X16,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5995,f5799]) ).
fof(f5995,plain,
( ! [X21,X16,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_less(c_0,X16,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_times(X21,X16,tc_nat),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2069,f5799]) ).
fof(f2069,axiom,
! [X21,X16,X15] :
( ~ c_lessequals(c_times(X15,X16,tc_nat),c_times(X21,X16,tc_nat),tc_nat)
| c_lessequals(X15,X21,tc_nat)
| ~ c_less(c_0,X16,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__le__cancel2_0) ).
fof(f8797,plain,
( spl0_235
| spl0_226
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8796,f5798,f7512,f7553]) ).
fof(f8796,plain,
( ! [X1,X27,X5] :
( ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8795,f5799]) ).
fof(f8795,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5862,f5799]) ).
fof(f5862,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2375,f5799]) ).
fof(f2375,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1)
| c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff_0) ).
fof(f8791,plain,
( ~ spl0_220
| spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8790,f5798,f7730,f7462]) ).
fof(f8790,plain,
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6403,f5799]) ).
fof(f6403,plain,
( ! [X47] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2270,f5799]) ).
fof(f2270,axiom,
! [X47] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X47,tc_nat)),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0) ).
fof(f8789,plain,
( spl0_202
| spl0_359
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7225,f5798,f8787,f4482]) ).
fof(f8787,plain,
( spl0_359
<=> ! [X1] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f7225,plain,
( ! [X1,X18] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2252,f5799]) ).
fof(f2252,axiom,
! [X18,X1] :
( c_less(c_0,c_HOL_Oabs(X18,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ozero__less__abs__iff_1) ).
fof(f8784,plain,
( spl0_358
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7436,f5798,f8781]) ).
fof(f7436,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2788,f5799]) ).
fof(f2788,axiom,
! [X96,X104,X103] : c_0 = c_Nat_Osize(c_Event_Oevent_OSays(X103,X104,X96),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Osize__1_0) ).
fof(f8778,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8777,f5798,f3989,f7650,f7495]) ).
fof(f8777,plain,
( ! [X5] :
( c_in(X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8776,f5799]) ).
fof(f8776,plain,
( ! [X4,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X5,c_insert(c_Message_Omsg_ONonce(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6377,f5799]) ).
fof(f6377,plain,
( ! [X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X5,X6),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X5,c_insert(c_Message_Omsg_ONonce(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5280,f5799]) ).
fof(f5280,plain,
( ! [X6,X4,X5] :
( c_in(X5,c_insert(c_Message_Omsg_ONonce(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X5,X6),c_insert(c_Message_Omsg_ONonce(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2834,f4562]) ).
fof(f8775,plain,
( spl0_234
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8774,f5798,f7553,f7550]) ).
fof(f8774,plain,
( ! [X5,X30] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8773,f5799]) ).
fof(f8773,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8772,f5799]) ).
fof(f8772,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2))
| ~ c_in(X30,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5849,f5799]) ).
fof(f5849,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f82,f5799]) ).
fof(f82,axiom,
! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2))
| ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_0) ).
fof(f8767,plain,
( ~ spl0_357
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6805,f5798,f8764]) ).
fof(f8764,plain,
( spl0_357
<=> c_0 = c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f6805,plain,
( c_0 != c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3080,f5799]) ).
fof(f3080,plain,
! [X15] : c_0 != c_Finite__Set_Ocard(c_SetInterval_OatMost(X15,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2025,f2544]) ).
fof(f2025,axiom,
! [X15] : c_0 != c_Suc(X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc_0) ).
fof(f8758,plain,
( ~ spl0_286
| spl0_243
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6013,f5798,f4293,f3828,f7601,f7932]) ).
fof(f6013,plain,
( ! [X15] :
( c_lessequals(c_1,X15,tc_nat)
| ~ c_lessequals(c_1,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4437,f5799]) ).
fof(f4437,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X15,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4266,f4295]) ).
fof(f4266,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_IntDef_Onat(c_1),c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X15,tc_nat) )
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3076,f3830]) ).
fof(f3076,plain,
! [X21,X15] :
( c_lessequals(c_1,X15,tc_nat)
| ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X15,X21,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f2095,f2544]) ).
fof(f2095,axiom,
! [X21,X15] :
( ~ c_lessequals(c_Suc(c_0),c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_0) ).
fof(f8746,plain,
( spl0_309
| spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8745,f5798,f8142,f8139]) ).
fof(f8745,plain,
( ! [X18,X1,X5] :
( c_in(X18,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8744,f5799]) ).
fof(f8744,plain,
( ! [X2,X18,X1,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5842,f5799]) ).
fof(f5842,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f70,f5799]) ).
fof(f70,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f8728,plain,
( spl0_356
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8723,f5798,f4293,f3828,f8725]) ).
fof(f8725,plain,
( spl0_356
<=> c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f8723,plain,
( c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f8722]) ).
fof(f8722,plain,
( c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_0 != c_0
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8721,f2763]) ).
fof(f8721,plain,
( c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_0 != c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8720,f5799]) ).
fof(f8720,plain,
( ! [X1] :
( c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat)
| c_0 != c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6629,f5799]) ).
fof(f6629,plain,
( ! [X0,X1] :
( c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg)
| c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4804,f5799]) ).
fof(f4804,plain,
( ! [X0,X1] :
( c_0 = c_plus(c_Nat_Osize(X0,tc_Message_Omsg),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat)
| c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2031,f4431]) ).
fof(f2031,axiom,
! [X21,X15] :
( c_0 != c_plus(X15,X21,tc_nat)
| c_0 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_0) ).
fof(f8715,plain,
( ~ spl0_307
| spl0_355
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8711,f5798,f8713,f8115]) ).
fof(f8711,plain,
( ! [X27,X25] :
( c_Message_Omsg_ONonce(X25) = X27
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6213,f5799]) ).
fof(f6213,plain,
( ! [X26,X27,X25] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X25),X26,tc_Message_Omsg))
| c_Message_Omsg_ONonce(X25) = X27 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5155,f5799]) ).
fof(f5155,plain,
! [X26,X27,X25] :
( c_insert(X27,c_emptyset,tc_Message_Omsg) != c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X25),X26,tc_Message_Omsg))
| c_Message_Omsg_ONonce(X25) = X27 ),
inference(superposition,[],[f2692,f2878]) ).
fof(f8709,plain,
( spl0_248
| spl0_263
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8708,f5798,f7756,f7650]) ).
fof(f8708,plain,
( ! [X10,X8] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X10,tc_Message_Omsg)
| c_in(X8,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8707,f5799]) ).
fof(f8707,plain,
( ! [X10,X11,X8] :
( c_in(X8,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X11,X8),X10,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7086,f5799]) ).
fof(f7086,plain,
( ! [X10,X11,X8] :
( c_in(X8,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X11,X8),X10,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4975,f5799]) ).
fof(f4975,plain,
! [X10,X11,X8,X9] :
( ~ c_in(c_Message_Omsg_OMPair(X11,X8),X10,tc_Message_Omsg)
| c_in(X8,c_Message_Oanalz(c_union(X9,X10,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4538,f2642]) ).
fof(f2642,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f8702,plain,
( ~ spl0_269
| spl0_202
| spl0_323
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8701,f5798,f8318,f4482,f7809]) ).
fof(f8318,plain,
( spl0_323
<=> ! [X1] : ~ class_OrderedGroup_Olordered__ab__group(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f8701,plain,
( ! [X1,X18] :
( ~ class_OrderedGroup_Olordered__ab__group(X1)
| c_0 = X18
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6431,f5799]) ).
fof(f6431,plain,
( ! [X18,X1] :
( c_0 != c_LOrder_Omeet(X18,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2212,f5799]) ).
fof(f2212,axiom,
! [X18,X1] :
( c_0 != c_LOrder_Omeet(X18,c_uminus(X18,X1),X1)
| c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omeet__0__eq__0_0) ).
fof(f8696,plain,
( spl0_267
| spl0_249
| spl0_267
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8695,f5798,f7799,f7658,f7799]) ).
fof(f7799,plain,
( spl0_267
<=> ! [X13,X7] : ~ c_in(X7,X13,c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f8695,plain,
( ! [X9,X7,X12,X13] :
( ~ c_in(X7,X13,c_emptyset)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_emptyset) )
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f8694,f7346]) ).
fof(f7346,plain,
( ! [X1,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1)
| c_emptyset = X12 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2659,f5799]) ).
fof(f2659,axiom,
! [X1,X12] :
( c_emptyset = X12
| c_in(c_Main_Oall__not__in__conv__1(X12,X1),X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oall__not__in__conv_0) ).
fof(f8694,plain,
( ! [X9,X7,X12,X13] :
( ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,c_emptyset)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f8693,f7346]) ).
fof(f8693,plain,
( ! [X9,X7,X12,X13] :
( ~ c_in(X7,X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8692,f5799]) ).
fof(f8692,plain,
( ! [X9,X7,X12,X13] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8691,f5799]) ).
fof(f8691,plain,
( ! [X2,X1,X9,X7,X12,X13] :
( c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8690,f5799]) ).
fof(f8690,plain,
( ! [X2,X1,X9,X7,X12,X13] :
( c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8689,f5799]) ).
fof(f8689,plain,
( ! [X2,X1,X9,X7,X12,X13] :
( c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5825,f5799]) ).
fof(f5825,plain,
( ! [X2,X1,X9,X7,X12,X13] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f16,f5799]) ).
fof(f16,axiom,
! [X2,X1,X9,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodI_0) ).
fof(f8685,plain,
( ~ spl0_353
| spl0_354
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6863,f5798,f8683,f8679]) ).
fof(f8679,plain,
( spl0_353
<=> c_UNIV = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f8683,plain,
( spl0_354
<=> ! [X12,X1,X24] :
( c_UNIV = X24
| ~ c_in(X24,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f6863,plain,
( ! [X1,X24,X12] :
( c_UNIV = X24
| ~ c_in(X24,X12,tc_set(X1))
| c_UNIV != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2613,f5799]) ).
fof(f2613,axiom,
! [X1,X24,X12] :
( ~ c_in(X24,X12,tc_set(X1))
| c_UNIV != c_Inter(X12,X1)
| c_UNIV = X24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInter__UNIV__conv__1_0) ).
fof(f8676,plain,
( spl0_352
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8672,f5798,f7588,f8674]) ).
fof(f8674,plain,
( spl0_352
<=> ! [X108] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X108) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f8672,plain,
( ! [X108,X86,X107] :
( X86 = X107
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X108) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8671,f5799]) ).
fof(f8671,plain,
( ! [X108,X86,X107] :
( X86 = X107
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X107,X108)),X108) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7368,f5799]) ).
fof(f7368,plain,
( ! [X108,X86,X87,X107] :
( c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X107,X108)),X108) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X87)
| X86 = X107 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3206,f5799]) ).
fof(f3206,plain,
! [X108,X86,X87,X107] :
( c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X107,X108)),X108) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87)
| X86 = X107 ),
inference(definition_unfolding,[],[f2808,f2812,f2812]) ).
fof(f2812,axiom,
! [X0,X86] : c_Message_OHPair(X86,X0) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__eq__MPair_2) ).
fof(f2808,axiom,
! [X108,X86,X87,X107] :
( c_Message_OHPair(X107,X108) != c_Message_OHPair(X86,X87)
| X86 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__eq_0) ).
fof(f8670,plain,
( ~ spl0_269
| spl0_260
| ~ spl0_38
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8669,f5798,f3399,f7730,f7809]) ).
fof(f3399,plain,
( spl0_38
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f8669,plain,
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ spl0_38
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6099,f5799]) ).
fof(f6099,plain,
( ! [X47] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4381,f5799]) ).
fof(f4381,plain,
( ! [X47] :
( c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4380,f3401]) ).
fof(f3401,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f4380,plain,
( ! [X47] :
( c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4335,f2154]) ).
fof(f2154,axiom,
! [X11] : c_Numeral_Obin__succ(c_Numeral_OBit(X11,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(X11),c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__1_0) ).
fof(f4335,plain,
( ! [X47] :
( c_0 != c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(backward_demodulation,[],[f2273,f3401]) ).
fof(f2273,axiom,
! [X47] :
( c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1) ).
fof(f8668,plain,
( ~ spl0_351
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6354,f5798,f8665]) ).
fof(f6354,plain,
( c_emptyset != c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4727,f5799]) ).
fof(f4727,plain,
! [X14,X13] : c_emptyset != c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X13),X14,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2860]) ).
fof(f8663,plain,
( spl0_292
| spl0_350
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7128,f5798,f8661,f7980]) ).
fof(f8661,plain,
( spl0_350
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f7128,plain,
( ! [X21,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1807,f5799]) ).
fof(f1807,axiom,
! [X21,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_NatArith_Oof__nat(X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__0__less__iff_1) ).
fof(f8658,plain,
( ~ spl0_349
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6623,f5798,f4293,f3828,f8655]) ).
fof(f8655,plain,
( spl0_349
<=> c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f6623,plain,
( ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_nat)
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5734,f5799]) ).
fof(f5734,plain,
( ! [X50,X51,X52] : ~ c_less(c_Nat_Osize(c_List_Olist_OCons(X52,X50,X51),tc_List_Olist(X51)),c_1,tc_nat)
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2088,f4447]) ).
fof(f2088,axiom,
! [X59,X43] : ~ c_less(c_plus(X59,X43,tc_nat),X43,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
fof(f8652,plain,
( spl0_223
| spl0_348
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8648,f5798,f8650,f7481]) ).
fof(f8650,plain,
( spl0_348
<=> ! [X1] :
( c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f8648,plain,
( ! [X21,X1,X15] :
( c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(X15,X21,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7136,f5799]) ).
fof(f7136,plain,
( ! [X21,X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(c_NatArith_Oof__nat(X15,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1820,f5799]) ).
fof(f1820,axiom,
! [X21,X1,X15] :
( c_less(c_NatArith_Oof__nat(X15,X1),c_NatArith_Oof__nat(X21,X1),X1)
| ~ c_less(X15,X21,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__less__iff_1) ).
fof(f8647,plain,
( ~ spl0_260
| spl0_264
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7250,f5798,f7771,f7730]) ).
fof(f7250,plain,
( ! [X0] :
( c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2293,f5799]) ).
fof(f2293,axiom,
! [X21,X0] :
( c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_Nat_Opower(X0,X21,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__power_0) ).
fof(f8641,plain,
( ~ spl0_346
| spl0_347
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7317,f5798,f8639,f8635]) ).
fof(f8635,plain,
( spl0_346
<=> c_List_Olist_ONil = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f8639,plain,
( spl0_347
<=> ! [X59,X43] :
( c_0 = X59
| c_lessequals(X59,X43,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f7317,plain,
( ! [X59,X43] :
( c_0 = X59
| c_lessequals(X59,X43,tc_nat)
| c_List_Olist_ONil != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1784,f5799]) ).
fof(f1784,axiom,
! [X59,X43] :
( c_0 = X59
| c_lessequals(X59,X43,tc_nat)
| c_List_Olist_ONil != c_List_Oupt(X43,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oupt__eq__Nil__conv_0) ).
fof(f8629,plain,
( spl0_277
| ~ spl0_269
| spl0_311
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7237,f5798,f8161,f7809,f7871]) ).
fof(f8161,plain,
( spl0_311
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f7237,plain,
( ! [X21,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_less(c_0,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2348,f5799]) ).
fof(f2348,axiom,
! [X21,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_0,X21,tc_nat)
| ~ class_Power_Orecpower(X1)
| c_0 != c_Nat_Opower(X18,X21,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__eq__0__iff_1) ).
fof(f8626,plain,
( ~ spl0_220
| spl0_202
| spl0_321
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8625,f5798,f8297,f4482,f7462]) ).
fof(f8297,plain,
( spl0_321
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f8625,plain,
( ! [X0,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 = X0
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7183,f5799]) ).
fof(f7183,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X0 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2318,f5799]) ).
fof(f2318,axiom,
! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = X0
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_1) ).
fof(f8621,plain,
( ~ spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8620,f5798,f7658]) ).
fof(f8620,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8619,f5799]) ).
fof(f8619,plain,
( ! [X1,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5912,f5799]) ).
fof(f5912,plain,
( ! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1515,f5799]) ).
fof(f1515,axiom,
! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex_0) ).
fof(f8616,plain,
( spl0_222
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8615,f5798,f7475]) ).
fof(f7475,plain,
( spl0_222
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f8615,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f8614]) ).
fof(f8614,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8613,f5799]) ).
fof(f8613,plain,
( ! [X0] :
( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8612,f5799]) ).
fof(f8612,plain,
( ! [X3,X0] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X3,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5898,f5799]) ).
fof(f5898,plain,
( ! [X3,X0] :
( c_in(c_Pair(X0,X3,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X3,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1368,f5799]) ).
fof(f1368,axiom,
! [X3,X0] :
( c_in(c_Pair(X0,X3,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
| c_Relation_OImage(c_IntDef_Ointrel,c_insert(X0,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X3,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oequiv__intrel__iff_0) ).
fof(f8610,plain,
( spl0_285
| ~ spl0_269
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7038,f5798,f7809,f7928]) ).
fof(f7038,plain,
( ! [X21,X15] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_lessequals(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2038,f5799]) ).
fof(f2038,axiom,
! [X21,X15] :
( c_0 != c_minus(X15,X21,tc_nat)
| c_lessequals(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
fof(f8609,plain,
( spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8608,f5798,f7658]) ).
fof(f8608,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8607,f5799]) ).
fof(f8607,plain,
( ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5891,f5799]) ).
fof(f5891,plain,
( ! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4130,f5799]) ).
fof(f4130,plain,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)),
inference(backward_demodulation,[],[f3089,f3109]) ).
fof(f3089,plain,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_union(c_Transitive__Closure_Otrancl(X5,X1),c_Relation_OId,tc_prod(X1,X1)),tc_prod(X1,X1)),
inference(definition_unfolding,[],[f120,f2708]) ).
fof(f120,axiom,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f8604,plain,
( spl0_344
| spl0_345
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8597,f5798,f8602,f8599]) ).
fof(f8599,plain,
( spl0_344
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f8597,plain,
( ! [X21,X1,X15] :
( ~ c_lessequals(X15,X21,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7133,f5799]) ).
fof(f7133,plain,
( ! [X21,X1,X15] :
( ~ c_lessequals(X15,X21,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_NatArith_Oof__nat(X15,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1817,f5799]) ).
fof(f1817,axiom,
! [X21,X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(X15,X21,tc_nat)
| c_lessequals(c_NatArith_Oof__nat(X15,X1),c_NatArith_Oof__nat(X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__le__iff_1) ).
fof(f8593,plain,
( spl0_343
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8588,f5798,f8590]) ).
fof(f8590,plain,
( spl0_343
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_OInteg,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f8588,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_OInteg,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5835,f5799]) ).
fof(f5835,plain,
( ! [X3,X0] : c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X3,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1381,f5799]) ).
fof(f1381,axiom,
! [X3,X0] : c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X0,X3,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0) ).
fof(f8584,plain,
( spl0_234
| spl0_235
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8583,f5798,f7553,f7553,f7550]) ).
fof(f8583,plain,
( ! [X11,X6,X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X11,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8582,f5799]) ).
fof(f8582,plain,
( ! [X2,X11,X1,X6,X5] :
( c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X11,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8581,f5799]) ).
fof(f8581,plain,
( ! [X2,X11,X1,X6,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X11,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8580,f5799]) ).
fof(f8580,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8579,f5799]) ).
fof(f8579,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8578,f5799]) ).
fof(f8578,plain,
( ! [X2,X11,X1,X6,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5819,f5799]) ).
fof(f5819,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f10,f5799]) ).
fof(f10,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_3) ).
fof(f8575,plain,
( spl0_294
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6494,f5798,f8000]) ).
fof(f6494,plain,
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4233,f5799]) ).
fof(f4233,plain,
! [X21] : c_IntDef_Oneg(c_uminus(c_plus(c_1,c_IntDef_Oint(X21),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(backward_demodulation,[],[f3189,f3159]) ).
fof(f3189,plain,
! [X21] : c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint),
inference(definition_unfolding,[],[f1388,f2544]) ).
fof(f1388,axiom,
! [X21] : c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oneg__zminus__int_0) ).
fof(f8574,plain,
( spl0_342
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8569,f5798,f8571]) ).
fof(f8571,plain,
( spl0_342
<=> c_0 = c_Binomial_Obinomial(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f8569,plain,
( c_0 = c_Binomial_Obinomial(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6808,f5799]) ).
fof(f6808,plain,
( c_0 = c_Binomial_Obinomial(c_0,c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3101,f5799]) ).
fof(f3101,plain,
! [X16] : c_0 = c_Binomial_Obinomial(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X16,tc_nat),tc_nat)),
inference(definition_unfolding,[],[f1160,f2544]) ).
fof(f1160,axiom,
! [X16] : c_0 = c_Binomial_Obinomial(c_0,c_Suc(X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__0__Suc_0) ).
fof(f8562,plain,
( ~ spl0_269
| spl0_202
| spl0_341
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7129,f5798,f8560,f4482,f7809]) ).
fof(f7129,plain,
( ! [X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_0 = X15
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1811,f5799]) ).
fof(f1811,axiom,
! [X1,X15] :
( c_0 = X15
| c_0 != c_NatArith_Oof__nat(X15,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__eq__0__iff_0) ).
fof(f8552,plain,
( spl0_202
| ~ spl0_340
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8547,f5798,f8549,f4482]) ).
fof(f8547,plain,
( ! [X21] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_0 = X21 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7234,f5799]) ).
fof(f7234,plain,
( ! [X21] :
( ~ c_less(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1484,f5799]) ).
fof(f1484,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X21,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_0) ).
fof(f8544,plain,
( ~ spl0_269
| spl0_290
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8543,f5798,f7950,f7809]) ).
fof(f8543,plain,
( ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7194,f5799]) ).
fof(f7194,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2334,f5799]) ).
fof(f2334,axiom,
! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Numeral_Onumber__of(X11,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_3) ).
fof(f8540,plain,
( spl0_339
| ~ spl0_307
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8536,f5798,f8115,f8538]) ).
fof(f8538,plain,
( spl0_339
<=> ! [X18,X21,X19] : c_Message_Omsg_OCrypt(X18,X19) = X21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f8536,plain,
( ! [X21,X18,X19] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Message_Omsg_OCrypt(X18,X19) = X21 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6211,f5799]) ).
fof(f6211,plain,
( ! [X21,X18,X19,X20] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X18,X19),X20,tc_Message_Omsg))
| c_Message_Omsg_OCrypt(X18,X19) = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5153,f5799]) ).
fof(f5153,plain,
! [X21,X18,X19,X20] :
( c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X18,X19),X20,tc_Message_Omsg)) != c_insert(X21,c_emptyset,tc_Message_Omsg)
| c_Message_Omsg_OCrypt(X18,X19) = X21 ),
inference(superposition,[],[f2692,f2873]) ).
fof(f8533,plain,
( spl0_202
| spl0_338
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7320,f5798,f8531,f4482]) ).
fof(f7320,plain,
( ! [X21,X3,X1] :
( c_List_Olast(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) = X3
| c_0 = X21 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1594,f5799]) ).
fof(f1594,axiom,
! [X21,X3,X1] :
( c_0 = X21
| c_List_Olast(c_List_Oreplicate(X21,X3,X1),X1) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olast__replicate_0) ).
fof(f8525,plain,
( spl0_264
| spl0_259
| ~ spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6909,f5798,f7730,f7727,f7771]) ).
fof(f6909,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2300,f5799]) ).
fof(f2300,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(c_plus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__sum_1) ).
fof(f8523,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8522,f5798,f3989,f7650,f7495]) ).
fof(f8522,plain,
( ! [X5] :
( c_in(X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8521,f5799]) ).
fof(f8521,plain,
( ! [X4,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X5,c_insert(c_Message_Omsg_OAgent(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6308,f5799]) ).
fof(f6308,plain,
( ! [X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X5,X6),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X5,c_insert(c_Message_Omsg_OAgent(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5266,f5799]) ).
fof(f5266,plain,
( ! [X6,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X5,X6),c_insert(c_Message_Omsg_OAgent(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X5,c_insert(c_Message_Omsg_OAgent(X4),c_emptyset,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2834,f4556]) ).
fof(f8517,plain,
( ~ spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8516,f5798,f7658]) ).
fof(f8516,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8515,f5799]) ).
fof(f8515,plain,
( ! [X1,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5911,f5799]) ).
fof(f5911,plain,
( ! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1506,f5799]) ).
fof(f1506,axiom,
! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex_0) ).
fof(f8512,plain,
( ~ spl0_260
| spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8511,f5798,f7462,f7730]) ).
fof(f8511,plain,
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6405,f5799]) ).
fof(f6405,plain,
( ! [X47] :
( c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2271,f5799]) ).
fof(f2271,axiom,
! [X47] :
( c_Parity_Oeven(c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X47,tc_nat)),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1) ).
fof(f8505,plain,
( ~ spl0_269
| spl0_202
| spl0_337
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7219,f5798,f8503,f4482,f7809]) ).
fof(f8503,plain,
( spl0_337
<=> ! [X1] : ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f7219,plain,
( ! [X1,X18] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = X18
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2175,f5799]) ).
fof(f2175,axiom,
! [X18,X1] :
( c_0 != c_HOL_Oabs(X18,X1)
| c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_0) ).
fof(f8501,plain,
( spl0_248
| ~ spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8500,f5798,f7495,f7650]) ).
fof(f8500,plain,
( ! [X14] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8499,f5799]) ).
fof(f8499,plain,
( ! [X14,X12] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X14,c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7382,f5799]) ).
fof(f7382,plain,
( ! [X14,X12] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg)
| c_in(X14,c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5533,f5799]) ).
fof(f5533,plain,
! [X14,X12,X13] :
( ~ c_in(c_Message_Omsg_OMPair(X13,X14),c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg)
| c_in(X14,c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) ),
inference(superposition,[],[f2841,f2862]) ).
fof(f8492,plain,
( spl0_272
| spl0_220
| spl0_292
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7245,f5798,f7980,f7462,f7830]) ).
fof(f7245,plain,
( ! [X3,X0] :
( ~ c_less(c_0,X3,tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2282,f5799]) ).
fof(f2282,axiom,
! [X3,X0] :
( c_Parity_Oeven(c_Nat_Opower(X0,X3,tc_nat),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat)
| ~ c_less(c_0,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__power_2) ).
fof(f8488,plain,
( ~ spl0_336
| spl0_206
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7425,f5798,f4516,f8485]) ).
fof(f4516,plain,
( spl0_206
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f7425,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| spl0_206
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4518,f5799]) ).
fof(f4518,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_206 ),
inference(avatar_component_clause,[],[f4516]) ).
fof(f8483,plain,
( spl0_298
| spl0_335
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8479,f5798,f8481,f8024]) ).
fof(f8481,plain,
( spl0_335
<=> ! [X21] : ~ c_less(X21,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f8479,plain,
( ! [X21,X1] :
( ~ c_less(X21,c_emptyset,tc_nat)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f8478,f7346]) ).
fof(f8478,plain,
( ! [X21,X1] :
( ~ c_less(X21,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8477,f5799]) ).
fof(f8477,plain,
( ! [X21,X1,X23] :
( ~ c_less(X21,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_in(c_List_Onth(X23,X21,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6518,f5799]) ).
fof(f6518,plain,
( ! [X21,X1,X23] :
( ~ c_less(X21,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat)
| c_in(c_List_Onth(X23,X21,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1701,f5799]) ).
fof(f1701,axiom,
! [X21,X1,X23] :
( c_in(c_List_Onth(X23,X21,X1),c_List_Oset(X23,X1),X1)
| ~ c_less(X21,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onth__mem_0) ).
fof(f8472,plain,
( spl0_333
| spl0_334
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7269,f5798,f8470,f8467]) ).
fof(f8467,plain,
( spl0_333
<=> ! [X48] : c_lessequals(c_0,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f8470,plain,
( spl0_334
<=> ! [X1] :
( ~ c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f7269,plain,
( ! [X48,X1] :
( ~ c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,X48,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1397,f5799]) ).
fof(f1397,axiom,
! [X48,X1] :
( c_lessequals(c_0,X48,tc_IntDef_Oint)
| ~ c_lessequals(c_0,c_IntDef_Oof__int(X48,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__0__le__iff_0) ).
fof(f8465,plain,
( spl0_272
| ~ spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8464,f5798,f7462,f7830]) ).
fof(f8464,plain,
( ! [X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6804,f5799]) ).
fof(f6804,plain,
( ! [X0] :
( ~ c_Parity_Oeven(X0,tc_nat)
| ~ c_Parity_Oeven(c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3065,f5799]) ).
fof(f3065,plain,
! [X0] :
( ~ c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) ),
inference(definition_unfolding,[],[f2278,f2544]) ).
fof(f2278,axiom,
! [X0] :
( ~ c_Parity_Oeven(X0,tc_nat)
| ~ c_Parity_Oeven(c_Suc(X0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__Suc_0) ).
fof(f8460,plain,
( spl0_331
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8459,f5798,f7650,f8390]) ).
fof(f8390,plain,
( spl0_331
<=> ! [X1] : ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f8459,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7380,f5799]) ).
fof(f7380,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5528,f5799]) ).
fof(f5528,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(resolution,[],[f2841,f2886]) ).
fof(f8450,plain,
( spl0_220
| spl0_221
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8449,f5798,f7466,f7462]) ).
fof(f8449,plain,
( ! [X0] :
( c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6807,f5799]) ).
fof(f6807,plain,
( ! [X0] :
( c_Parity_Oeven(c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat),tc_nat)
| c_Parity_Oeven(X0,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3094,f5799]) ).
fof(f3094,plain,
! [X0] :
( c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f2279,f2544]) ).
fof(f2279,axiom,
! [X0] :
( c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(c_Suc(X0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__Suc_1) ).
fof(f8448,plain,
( spl0_285
| spl0_332
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8444,f5798,f8446,f7928]) ).
fof(f8446,plain,
( spl0_332
<=> ! [X1] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f8444,plain,
( ! [X21,X1,X15] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7132,f5799]) ).
fof(f7132,plain,
( ! [X21,X1,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_lessequals(c_NatArith_Oof__nat(X15,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1816,f5799]) ).
fof(f1816,axiom,
! [X21,X1,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_lessequals(c_NatArith_Oof__nat(X15,X1),c_NatArith_Oof__nat(X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__le__iff_0) ).
fof(f8443,plain,
( ~ spl0_257
| spl0_319
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7073,f5798,f8256,f7708]) ).
fof(f7708,plain,
( spl0_257
<=> c_emptyset = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f8256,plain,
( spl0_319
<=> ! [X9,X8,X10] : c_emptyset = c_minus(X8,X9,tc_set(X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f7073,plain,
( ! [X11,X12,X13] :
( c_emptyset = c_minus(X12,X11,tc_set(X13))
| c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5358,f5799]) ).
fof(f5358,plain,
! [X11,X12,X13] :
( c_emptyset != c_union(X11,X12,X13)
| c_emptyset = c_minus(X12,X11,tc_set(X13)) ),
inference(superposition,[],[f2636,f2631]) ).
fof(f2631,axiom,
! [X1,X12,X13] : c_union(X12,X13,X1) = c_union(X12,c_minus(X13,X12,tc_set(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f8434,plain,
( ~ spl0_249
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8433,f5798,f7553,f7658]) ).
fof(f8433,plain,
( ! [X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8432,f5799]) ).
fof(f8432,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8431,f5799]) ).
fof(f8431,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X27,X18,X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8430,f5799]) ).
fof(f8430,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5864,f5799]) ).
fof(f5864,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2384,f5799]) ).
fof(f2384,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff_0) ).
fof(f8428,plain,
( ~ spl0_240
| spl0_237
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8427,f5798,f7588,f7567,f7584]) ).
fof(f8427,plain,
( ! [X111,X12,X102] :
( X12 = X111
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f8426]) ).
fof(f8426,plain,
( ! [X111,X102,X12] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X12 = X111
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8425,f5799]) ).
fof(f8425,plain,
( ! [X113,X111,X91,X107,X114,X102,X12,X112] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X12 = X111
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8424,f5799]) ).
fof(f8424,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X12,X115,X13,X112,X102] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X12 = X111
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6553,f5799]) ).
fof(f6553,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X12,X115,X13,X102,X112] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X12 = X111
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2942,f5799]) ).
fof(f8413,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8412,f5798,f7650,f7756]) ).
fof(f8412,plain,
( ! [X3,X5] :
( c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8411,f5799]) ).
fof(f8411,plain,
( ! [X3,X6,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X3),X5,tc_Message_Omsg)
| c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6156,f5799]) ).
fof(f6156,plain,
( ! [X3,X6,X5] :
( c_in(X3,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X3),X5,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4973,f5799]) ).
fof(f4973,plain,
! [X3,X6,X4,X5] :
( c_in(X3,c_Message_Oanalz(c_insert(X4,X5,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X3),X5,tc_Message_Omsg) ),
inference(resolution,[],[f4538,f2685]) ).
fof(f8406,plain,
( spl0_287
| spl0_286
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7243,f5798,f4293,f3828,f7932,f7936]) ).
fof(f7936,plain,
( spl0_287
<=> ! [X15] : ~ c_lessequals(c_1,X15,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f7243,plain,
( ! [X43] :
( c_lessequals(c_1,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_lessequals(c_1,X43,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4440,f5799]) ).
fof(f4440,plain,
( ! [X21,X43] :
( c_lessequals(c_1,c_Nat_Opower(X43,X21,tc_nat),tc_nat)
| ~ c_lessequals(c_1,X43,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4270,f4295]) ).
fof(f4270,plain,
( ! [X21,X43] :
( c_lessequals(c_IntDef_Onat(c_1),c_Nat_Opower(X43,X21,tc_nat),tc_nat)
| ~ c_lessequals(c_1,X43,tc_nat) )
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3090,f3830]) ).
fof(f3090,plain,
! [X21,X43] :
( c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Nat_Opower(X43,X21,tc_nat),tc_nat)
| ~ c_lessequals(c_1,X43,tc_nat) ),
inference(definition_unfolding,[],[f2340,f2544]) ).
fof(f2340,axiom,
! [X21,X43] :
( ~ c_lessequals(c_1,X43,tc_nat)
| c_lessequals(c_Suc(c_0),c_Nat_Opower(X43,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__one__le__power_0) ).
fof(f8400,plain,
( spl0_256
| ~ spl0_257
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8399,f5798,f7708,f7705]) ).
fof(f8399,plain,
( ! [X18,X1,X13] :
( c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ c_in(X18,X13,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6126,f5799]) ).
fof(f6126,plain,
( ! [X18,X1,X13] :
( ~ c_in(X18,X13,X1)
| c_emptyset != c_Relation_OImage(c_Relation_Odiag(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1),X13,X1,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3019,f5799]) ).
fof(f3019,plain,
! [X18,X1,X12,X13] :
( ~ c_in(X18,X13,X1)
| c_emptyset != c_Relation_OImage(c_Relation_Odiag(c_insert(X18,X12,X1),X1),X13,X1,X1) ),
inference(definition_unfolding,[],[f2677,f2373]) ).
fof(f2373,axiom,
! [X1,X12,X13] : c_inter(X12,X13,X1) = c_Relation_OImage(c_Relation_Odiag(X12,X1),X13,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__diag_0) ).
fof(f2677,axiom,
! [X18,X1,X12,X13] :
( c_emptyset != c_inter(c_insert(X18,X12,X1),X13,X1)
| ~ c_in(X18,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__disjoint__1_0) ).
fof(f8392,plain,
( spl0_331
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8388,f5798,f7650,f8390]) ).
fof(f8388,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7377,f5799]) ).
fof(f7377,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5521,f5799]) ).
fof(f5521,plain,
! [X2,X0,X1] :
( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f2840,f2886]) ).
fof(f8385,plain,
( spl0_330
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7308,f5798,f8382]) ).
fof(f8382,plain,
( spl0_330
<=> c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_List_Ochar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f7308,plain,
( c_0 = c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_List_Ochar)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1542,f5799]) ).
fof(f1542,axiom,
! [X54,X55] : c_0 = c_Nat_Osize(c_List_Ochar_OChar(X54,X55),tc_List_Ochar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Osize_0) ).
fof(f8378,plain,
( spl0_329
| ~ spl0_240
| ~ spl0_118
| ~ spl0_139
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8374,f5798,f3938,f3823,f7584,f8376]) ).
fof(f8376,plain,
( spl0_329
<=> ! [X0] : v_A = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f8374,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| v_A = X0 )
| ~ spl0_118
| ~ spl0_139
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6567,f5799]) ).
fof(f6567,plain,
( ! [X2,X3,X0,X1,X4] :
( v_A = X0
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_139
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5787,f5799]) ).
fof(f5787,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| v_A = X0 )
| ~ spl0_118
| ~ spl0_139 ),
inference(resolution,[],[f4677,f3940]) ).
fof(f8373,plain,
( spl0_220
| spl0_272
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6008,f5798,f7830,f7462]) ).
fof(f6008,plain,
( ! [X0] :
( ~ c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2284,f5799]) ).
fof(f2284,axiom,
! [X3,X0] :
( c_Parity_Oeven(c_times(X0,X3,tc_nat),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__product_1) ).
fof(f8371,plain,
( ~ spl0_276
| spl0_277
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6004,f5798,f7871,f7867]) ).
fof(f6004,plain,
( ! [X15] :
( c_less(c_0,X15,tc_nat)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2078,f5799]) ).
fof(f2078,axiom,
! [X21,X15] :
( ~ c_less(c_0,c_times(X15,X21,tc_nat),tc_nat)
| c_less(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__0__less__mult__iff_0) ).
fof(f8355,plain,
( spl0_328
| ~ spl0_96
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6819,f5798,f3697,f8352]) ).
fof(f8352,plain,
( spl0_328
<=> c_1 = c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f3697,plain,
( spl0_96
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f6819,plain,
( c_1 = c_Finite__Set_Ocard(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_96
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3699,f5799]) ).
fof(f3699,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f3697]) ).
fof(f8350,plain,
( ~ spl0_242
| spl0_327
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8346,f5798,f4293,f3828,f8348,f7597]) ).
fof(f8346,plain,
( ! [X30] :
( c_lessequals(X30,c_1,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8345,f5799]) ).
fof(f8345,plain,
( ! [X30] :
( ~ c_lessequals(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X30,tc_nat),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(X30,c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6617,f5799]) ).
fof(f6617,plain,
( ! [X28,X29,X27,X30] :
( c_lessequals(X30,c_1,tc_nat)
| ~ c_lessequals(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X30,tc_nat),c_Nat_Osize(c_List_Olist_OCons(X29,X27,X28),tc_List_Olist(X28)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5728,f5799]) ).
fof(f5728,plain,
( ! [X28,X29,X27,X30] :
( ~ c_lessequals(c_plus(c_Nat_Osize(X27,tc_List_Olist(X28)),X30,tc_nat),c_Nat_Osize(c_List_Olist_OCons(X29,X27,X28),tc_List_Olist(X28)),tc_nat)
| c_lessequals(X30,c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2082,f4447]) ).
fof(f8343,plain,
( ~ spl0_278
| spl0_279
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7378,f5798,f3989,f7880,f7876]) ).
fof(f7876,plain,
( spl0_278
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f7880,plain,
( spl0_279
<=> ! [X1] : c_in(X1,c_Message_Osynth(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f7378,plain,
( ! [X0] :
( c_in(X0,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_emptyset),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5522,f5799]) ).
fof(f5522,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_emptyset),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2840,f3991]) ).
fof(f8339,plain,
( spl0_325
| spl0_268
| spl0_326
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f5972,f5798,f8337,f7806,f8334]) ).
fof(f5972,plain,
( ! [X1,X18,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_1 = X18
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != X4
| c_0 = X4 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2471,f5799]) ).
fof(f2471,axiom,
! [X1,X18,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X4
| c_times(X4,X18,X1) != X4
| c_1 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__left2_0) ).
fof(f8332,plain,
( ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6286,f5798,f7523]) ).
fof(f6286,plain,
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4725,f5799]) ).
fof(f4725,plain,
! [X8,X9] : c_emptyset != c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X8),X9,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2872]) ).
fof(f8331,plain,
( ~ spl0_269
| spl0_202
| spl0_324
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6434,f5798,f8329,f4482,f7809]) ).
fof(f6434,plain,
( ! [X1,X18] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_0 = X18
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2219,f5799]) ).
fof(f2219,axiom,
! [X1,X18] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_0 != c_uminus(X18,X1)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oneg__0__equal__iff__equal_0) ).
fof(f8325,plain,
( ~ spl0_240
| spl0_248
| ~ spl0_118
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8324,f5798,f3823,f7650,f7584]) ).
fof(f8324,plain,
( ! [X0] :
( c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8323,f5799]) ).
fof(f8323,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X0),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6562,f5799]) ).
fof(f6562,plain,
( ! [X0,X1] :
( c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X0),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4663,f5799]) ).
fof(f4663,plain,
( ! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X1,X0),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) )
| ~ spl0_118 ),
inference(resolution,[],[f2936,f3825]) ).
fof(f8320,plain,
( spl0_323
| spl0_202
| ~ spl0_269
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8316,f5798,f7809,f4482,f8318]) ).
fof(f8316,plain,
( ! [X18,X1] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6430,f5799]) ).
fof(f6430,plain,
( ! [X18,X1] :
( c_0 = X18
| c_0 != c_LOrder_Ojoin(X18,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_OrderedGroup_Olordered__ab__group(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2210,f5799]) ).
fof(f2210,axiom,
! [X18,X1] :
( c_0 = X18
| ~ class_OrderedGroup_Olordered__ab__group(X1)
| c_0 != c_LOrder_Ojoin(X18,c_uminus(X18,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ojoin__0__eq__0_0) ).
fof(f8308,plain,
( spl0_220
| spl0_322
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8304,f5798,f8306,f7462]) ).
fof(f8306,plain,
( spl0_322
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| ~ c_less(X0,c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f8304,plain,
( ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(X0,c_0,X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7189,f5799]) ).
fof(f7189,plain,
( ! [X0,X11,X1] :
( ~ c_less(X0,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2325,f5799]) ).
fof(f2325,axiom,
! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_less(X0,c_0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__less__zero__eq__number__of_2) ).
fof(f8299,plain,
( ~ spl0_269
| spl0_321
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8295,f5798,f8297,f7809]) ).
fof(f8295,plain,
( ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7182,f5799]) ).
fof(f7182,plain,
( ! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2317,f5799]) ).
fof(f2317,axiom,
! [X0,X11,X1] :
( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| c_0 != c_Numeral_Onumber__of(X11,tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_0) ).
fof(f8294,plain,
( ~ spl0_269
| spl0_320
| spl0_202
| spl0_202
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f5974,f5798,f4482,f4482,f8292,f7809]) ).
fof(f8292,plain,
( spl0_320
<=> ! [X1] : ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f5974,plain,
( ! [X18,X1,X27] :
( c_0 = X18
| c_0 = X27
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2488,f5799]) ).
fof(f2488,axiom,
! [X1,X18,X27] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_0 = X27
| c_0 != c_times(X18,X27,X1)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__eq__0__iff_0) ).
fof(f8283,plain,
( spl0_235
| spl0_235
| spl0_234
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8282,f5798,f7550,f7553,f7553]) ).
fof(f8282,plain,
( ! [X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8281,f5799]) ).
fof(f8281,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8280,f5799]) ).
fof(f8280,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8279,f5799]) ).
fof(f8279,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8278,f5799]) ).
fof(f8278,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8277,f5799]) ).
fof(f8277,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5829,f5799]) ).
fof(f5829,plain,
( ! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f20,f5799]) ).
fof(f20,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_3) ).
fof(f8276,plain,
( spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6113,f5798,f8142]) ).
fof(f6113,plain,
( ! [X0,X1] : c_in(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2684,f5799]) ).
fof(f8263,plain,
( ~ spl0_240
| spl0_121
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8262,f5798,f3838,f7584]) ).
fof(f3838,plain,
( spl0_121
<=> c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_na,c_Message_Omsg_OMPair(v_nb,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f8262,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| spl0_121
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6560,f5799]) ).
fof(f6560,plain,
( ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_na,c_Message_Omsg_OMPair(v_nb,c_Message_Omsg_OKey(v_K)))),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| spl0_121
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3840,f5799]) ).
fof(f3840,plain,
( ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_na,c_Message_Omsg_OMPair(v_nb,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| spl0_121 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f8258,plain,
( ~ spl0_257
| spl0_319
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7072,f5798,f8256,f7708]) ).
fof(f7072,plain,
( ! [X10,X8,X9] :
( c_emptyset = c_minus(X8,X9,tc_set(X10))
| c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5344,f5799]) ).
fof(f5344,plain,
! [X10,X8,X9] :
( c_emptyset != c_union(X8,X9,X10)
| c_emptyset = c_minus(X8,X9,tc_set(X10)) ),
inference(superposition,[],[f2635,f2630]) ).
fof(f2630,axiom,
! [X1,X12,X13] : c_union(c_minus(X13,X12,tc_set(X1)),X12,X1) = c_union(X13,X12,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
fof(f8254,plain,
( spl0_285
| spl0_318
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8250,f5798,f8252,f7928]) ).
fof(f8252,plain,
( spl0_318
<=> ! [X27,X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(c_1,X27,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f8250,plain,
( ! [X3,X0,X1,X27] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_1,X27,X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_lessequals(X0,X3,tc_nat)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7238,f5799]) ).
fof(f7238,plain,
( ! [X3,X0,X1,X27] :
( ~ c_less(c_1,X27,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(X0,X3,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Opower(X27,X3,X1),X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2350,f5799]) ).
fof(f2350,axiom,
! [X3,X0,X1,X27] :
( ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_Nat_Opower(X27,X0,X1),c_Nat_Opower(X27,X3,X1),X1)
| c_lessequals(X0,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_1,X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__increasing__iff_0) ).
fof(f8248,plain,
( ~ spl0_315
| spl0_317
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7094,f5798,f8246,f8218]) ).
fof(f7094,plain,
( ! [X9] :
( c_emptyset = c_Message_OkeysFor(X9)
| c_emptyset != c_Message_OkeysFor(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5192,f5799]) ).
fof(f5192,plain,
! [X10,X9] :
( c_emptyset != c_Message_OkeysFor(c_union(X9,X10,tc_Message_Omsg))
| c_emptyset = c_Message_OkeysFor(X9) ),
inference(superposition,[],[f2635,f2742]) ).
fof(f8234,plain,
( spl0_294
| ~ spl0_269
| spl0_316
| ~ spl0_79
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8229,f5798,f3613,f8231,f7809,f8000]) ).
fof(f3613,plain,
( spl0_79
<=> ! [X83] :
( c_0 != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f8229,plain,
( c_IntDef_Oiszero(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_79
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8228,f5799]) ).
fof(f8228,plain,
( ! [X83] :
( c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_79
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7206,f5799]) ).
fof(f7206,plain,
( ! [X83] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_79
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3614,f5799]) ).
fof(f3614,plain,
( ! [X83] :
( c_0 != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f8221,plain,
( spl0_315
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7397,f5798,f8218]) ).
fof(f7397,plain,
( c_emptyset = c_Message_OkeysFor(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3165,f5799]) ).
fof(f3165,plain,
! [X32] : c_emptyset = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(X32,c_List_Olist_ONil))),
inference(definition_unfolding,[],[f2909,f2795]) ).
fof(f2795,axiom,
! [X12] : c_Event_Oknows(X12,c_List_Olist_ONil) = c_Event_OinitState(X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oknows_Oknows__Nil_0) ).
fof(f2909,axiom,
! [X32] : c_emptyset = c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(X32))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OkeysFor__parts__initState_0) ).
fof(f8215,plain,
( ~ spl0_249
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8214,f5798,f7553,f7658]) ).
fof(f8214,plain,
( ! [X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8213,f5799]) ).
fof(f8213,plain,
( ! [X3,X1,X5,X25,X23] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8212,f5799]) ).
fof(f8212,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8211,f5799]) ).
fof(f8211,plain,
( ! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5867,f5799]) ).
fof(f5867,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f55,f5799]) ).
fof(f55,axiom,
! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_2) ).
fof(f8204,plain,
( spl0_314
| ~ spl0_134
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7233,f5798,f3912,f8201]) ).
fof(f3912,plain,
( spl0_134
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f7233,plain,
( c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_IntDef_Oint)
| ~ spl0_134
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3914,f5799]) ).
fof(f3914,plain,
( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3912]) ).
fof(f8197,plain,
( spl0_264
| spl0_264
| spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7047,f5798,f7730,f7771,f7771]) ).
fof(f7047,plain,
( ! [X3,X0] :
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2277,f5799]) ).
fof(f2277,axiom,
! [X3,X0] :
( c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_minus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__difference_3) ).
fof(f8194,plain,
( spl0_313
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6478,f5798,f8191]) ).
fof(f8191,plain,
( spl0_313
<=> c_0 = c_IntDef_Onat(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f6478,plain,
( c_0 = c_IntDef_Onat(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1387,f5799]) ).
fof(f1387,axiom,
! [X21] : c_0 = c_IntDef_Onat(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zminus__int_0) ).
fof(f8188,plain,
( ~ spl0_312
| ~ spl0_211
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7372,f5798,f4811,f8185]) ).
fof(f4811,plain,
( spl0_211
<=> ! [X0,X1] : c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f7372,plain,
( c_0 != c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_211
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4812,f5799]) ).
fof(f4812,plain,
( ! [X0,X1] : c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg)
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f4811]) ).
fof(f8168,plain,
( spl0_220
| spl0_221
| spl0_221
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6934,f5798,f7466,f7466,f7462]) ).
fof(f6934,plain,
( ! [X3,X0] :
( c_Parity_Oeven(X0,tc_nat)
| c_Parity_Oeven(X3,tc_nat)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2289,f5799]) ).
fof(f2289,axiom,
! [X3,X0] :
( c_Parity_Oeven(X3,tc_nat)
| c_Parity_Oeven(c_plus(X0,X3,tc_nat),tc_nat)
| c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__sum_3) ).
fof(f8167,plain,
( ~ spl0_249
| spl0_299
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8166,f5798,f8027,f7658]) ).
fof(f8166,plain,
( ! [X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8165,f5799]) ).
fof(f8165,plain,
( ! [X1,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_List_Olist_ONil = X23 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5907,f5799]) ).
fof(f5907,plain,
( ! [X1,X5,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_List_Olist_ONil = X23 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f57,f5799]) ).
fof(f57,axiom,
! [X1,X5,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_ONil = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f8163,plain,
( ~ spl0_269
| spl0_202
| spl0_311
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7236,f5798,f8161,f4482,f7809]) ).
fof(f7236,plain,
( ! [X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = X18
| c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2347,f5799]) ).
fof(f2347,axiom,
! [X21,X18,X1] :
( c_0 != c_Nat_Opower(X18,X21,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X18
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__eq__0__iff_0) ).
fof(f8144,plain,
( spl0_256
| spl0_309
| spl0_310
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8137,f5798,f8142,f8139,f7705]) ).
fof(f8137,plain,
( ! [X2,X18,X1,X27,X5,X12] :
( c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X18,X12,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8136,f5799]) ).
fof(f8136,plain,
( ! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(X18,X12,X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X2) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5844,f5799]) ).
fof(f5844,plain,
( ! [X2,X1,X18,X27,X5,X12] :
( c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(X18,X12,X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f74,f5799]) ).
fof(f74,axiom,
! [X2,X1,X18,X27,X5,X12] :
( c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| ~ c_in(X18,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f8132,plain,
( spl0_248
| ~ spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8131,f5798,f7495,f7650]) ).
fof(f8131,plain,
( ! [X9] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X9,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8130,f5799]) ).
fof(f8130,plain,
( ! [X8,X9] :
( c_in(X9,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X8,X9),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8129,f5799]) ).
fof(f8129,plain,
( ! [X8,X9,X7] :
( c_in(X9,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X8,X9),c_union(c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Event_Oused(X7),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6196,f5799]) ).
fof(f6196,plain,
( ! [X8,X6,X9,X7] :
( c_in(X9,c_union(c_Message_Oparts(c_insert(X6,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X7),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X8,X9),c_union(c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Event_Oused(X7),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4599,f5799]) ).
fof(f4599,plain,
! [X8,X6,X9,X7] :
( ~ c_in(c_Message_Omsg_OMPair(X8,X9),c_union(c_Message_Oparts(c_insert(X6,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X7),tc_Message_Omsg),tc_Message_Omsg)
| c_in(X9,c_union(c_Message_Oparts(c_insert(X6,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X7),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f2892,f2801]) ).
fof(f2892,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Event_Oused(X88),tc_Message_Omsg)
| c_in(X87,c_Event_Oused(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).
fof(f8126,plain,
( spl0_272
| spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6009,f5798,f7462,f7830]) ).
fof(f6009,plain,
( ! [X3] :
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_Parity_Oeven(X3,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2285,f5799]) ).
fof(f2285,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X3,tc_nat)
| c_Parity_Oeven(c_times(X0,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__product_2) ).
fof(f8124,plain,
( spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8123,f5798,f7495]) ).
fof(f8123,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8122,f5799]) ).
fof(f8122,plain,
( ! [X24,X23] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X23,X24)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6224,f5799]) ).
fof(f6224,plain,
( ! [X24,X22,X25,X23] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X23,X24)),c_union(c_Message_Oparts(c_insert(X25,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Event_Oused(X22),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5775,f5799]) ).
fof(f5775,plain,
! [X21,X24,X22,X25,X23] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X23,X24)),c_union(c_Message_Oparts(c_insert(X25,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(X21,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X22),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[],[f4601,f2801]) ).
fof(f4601,plain,
! [X18,X19,X16,X17] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X18,X19)),c_union(c_Message_Oparts(c_insert(X16,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X17),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[],[f2921,f2801]) ).
fof(f2921,axiom,
! [X27,X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Event_Oused(X102),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__into__used_0) ).
fof(f8121,plain,
( ~ spl0_307
| spl0_308
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8113,f5798,f8119,f8115]) ).
fof(f8119,plain,
( spl0_308
<=> ! [X25,X27] : c_Message_Omsg_OKey(X25) = X27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f8113,plain,
( ! [X27,X25] :
( c_Message_Omsg_OKey(X25) = X27
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6218,f5799]) ).
fof(f6218,plain,
( ! [X26,X27,X25] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X25),X26,tc_Message_Omsg))
| c_Message_Omsg_OKey(X25) = X27 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5425,f5799]) ).
fof(f5425,plain,
! [X26,X27,X25] :
( c_Message_Omsg_OKey(X25) = X27
| c_insert(X27,c_emptyset,tc_Message_Omsg) != c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X25),X26,tc_Message_Omsg)) ),
inference(superposition,[],[f2692,f2876]) ).
fof(f2876,axiom,
! [X91,X88] : c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X91),X88,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X91),c_Message_Oparts(X88),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Key_0) ).
fof(f8112,plain,
( spl0_248
| ~ spl0_225
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8111,f5798,f3989,f7495,f7650]) ).
fof(f8111,plain,
( ! [X7] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X7,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8110,f5799]) ).
fof(f8110,plain,
( ! [X7,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X7,c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8109,f5799]) ).
fof(f8109,plain,
( ! [X6,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X7,c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6383,f5799]) ).
fof(f6383,plain,
( ! [X6,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Osynth(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| c_in(X7,c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5531,f5799]) ).
fof(f5531,plain,
( ! [X6,X7,X5] :
( c_in(X7,c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X7),c_Message_Osynth(c_insert(c_Message_Omsg_ONonce(X5),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2841,f4562]) ).
fof(f8106,plain,
( spl0_249
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8105,f5798,f7658]) ).
fof(f8105,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8104,f5799]) ).
fof(f8104,plain,
( ! [X1,X24,X61] : c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X24,X61,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5914,f5799]) ).
fof(f5914,plain,
( ! [X1,X24,X5,X61] : c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X24,X61,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X5,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1617,f5799]) ).
fof(f1617,axiom,
! [X1,X24,X5,X61] : c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X24,X61,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olexord(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olexord__Nil__left_1) ).
fof(f8103,plain,
( ~ spl0_242
| spl0_243
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8102,f5798,f4293,f3828,f7601,f7597]) ).
fof(f8102,plain,
( ! [X26] :
( c_lessequals(c_1,X26,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8101,f5799]) ).
fof(f8101,plain,
( ! [X26,X24,X25,X23] :
( ~ c_lessequals(c_Nat_Osize(c_List_Olist_OCons(X25,X23,X24),tc_List_Olist(X24)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(c_1,X26,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6616,f5799]) ).
fof(f6616,plain,
( ! [X26,X24,X25,X23] :
( c_lessequals(c_1,X26,tc_nat)
| ~ c_lessequals(c_Nat_Osize(c_List_Olist_OCons(X25,X23,X24),tc_List_Olist(X24)),c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X26,tc_nat),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5727,f5799]) ).
fof(f5727,plain,
( ! [X26,X24,X25,X23] :
( c_lessequals(c_1,X26,tc_nat)
| ~ c_lessequals(c_Nat_Osize(c_List_Olist_OCons(X25,X23,X24),tc_List_Olist(X24)),c_plus(c_Nat_Osize(X23,tc_List_Olist(X24)),X26,tc_nat),tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2082,f4447]) ).
fof(f8095,plain,
( spl0_241
| spl0_306
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8091,f5798,f8093,f7588]) ).
fof(f8093,plain,
( spl0_306
<=> ! [X25,X1] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_append(X25,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f8091,plain,
( ! [X3,X0,X1,X25] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_append(X25,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| X0 = X3 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8090,f5799]) ).
fof(f8090,plain,
( ! [X3,X0,X1,X25] :
( X0 = X3
| c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6672,f5799]) ).
fof(f6672,plain,
( ! [X3,X0,X1,X25,X23] :
( X0 = X3
| c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) != c_append(X23,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1517,f5799]) ).
fof(f1517,axiom,
! [X3,X0,X1,X25,X23] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv_1) ).
fof(f8069,plain,
( spl0_304
| spl0_305
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7271,f5798,f8067,f8064]) ).
fof(f8064,plain,
( spl0_304
<=> ! [X1] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f8067,plain,
( spl0_305
<=> ! [X48] : c_less(c_0,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f7271,plain,
( ! [X48,X1] :
( c_less(c_0,X48,tc_IntDef_Oint)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1399,f5799]) ).
fof(f1399,axiom,
! [X48,X1] :
( c_less(c_0,X48,tc_IntDef_Oint)
| ~ c_less(c_0,c_IntDef_Oof__int(X48,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__0__less__iff_0) ).
fof(f8062,plain,
( ~ spl0_294
| ~ spl0_77
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7215,f5798,f3606,f8000]) ).
fof(f3606,plain,
( spl0_77
<=> ! [X47] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f7215,plain,
( ~ c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_77
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3607,f5799]) ).
fof(f3607,plain,
( ! [X47] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3606]) ).
fof(f8061,plain,
( spl0_302
| spl0_303
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8054,f5798,f8059,f8056]) ).
fof(f8056,plain,
( spl0_302
<=> ! [X48,X11] : ~ c_less(X11,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f8059,plain,
( spl0_303
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f8054,plain,
( ! [X48,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(X11,X48,tc_IntDef_Oint)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7282,f5799]) ).
fof(f7282,plain,
( ! [X48,X11,X1] :
( c_less(c_IntDef_Oof__int(X11,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(X11,X48,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1415,f5799]) ).
fof(f1415,axiom,
! [X48,X11,X1] :
( c_less(c_IntDef_Oof__int(X11,X1),c_IntDef_Oof__int(X48,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(X11,X48,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__less__iff_1) ).
fof(f8052,plain,
( spl0_259
| spl0_259
| spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6910,f5798,f7730,f7727,f7727]) ).
fof(f6910,plain,
( ! [X3,X0] :
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2301,f5799]) ).
fof(f2301,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_plus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__sum_2) ).
fof(f8051,plain,
( spl0_261
| ~ spl0_276
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7041,f5798,f7867,f7741]) ).
fof(f7041,plain,
( ! [X21,X15] :
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_less(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2103,f5799]) ).
fof(f2103,axiom,
! [X21,X15] :
( ~ c_less(c_0,c_minus(X21,X15,tc_nat),tc_nat)
| c_less(X15,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__diff_0) ).
fof(f8048,plain,
( spl0_237
| spl0_241
| ~ spl0_240
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8047,f5798,f7584,f7588,f7567]) ).
fof(f8047,plain,
( ! [X116,X114,X102] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X114 = X116
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f8046]) ).
fof(f8046,plain,
( ! [X116,X114,X102] :
( X114 = X116
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8045,f5799]) ).
fof(f8045,plain,
( ! [X91,X116,X86,X114,X102,X12,X13,X115] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X114 = X116 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8044,f5799]) ).
fof(f8044,plain,
( ! [X116,X91,X86,X114,X12,X115,X13,X102] :
( X114 = X116
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6556,f5799]) ).
fof(f6556,plain,
( ! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X112,X13,X115] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X114 = X116
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2945,f5799]) ).
fof(f8041,plain,
( spl0_275
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6831,f5798,f7860]) ).
fof(f7860,plain,
( spl0_275
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f6831,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f91,f5799]) ).
fof(f91,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f8040,plain,
( spl0_300
| spl0_301
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6935,f5798,f8038,f8035]) ).
fof(f8035,plain,
( spl0_300
<=> ! [X4] : c_lessequals(X4,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f8038,plain,
( spl0_301
<=> ! [X3] : ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X3,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f6935,plain,
( ! [X3,X4] :
( ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X3,tc_nat)
| c_lessequals(X4,c_0,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5465,f5799]) ).
fof(f5465,plain,
! [X3,X4] :
( ~ c_lessequals(c_plus(X3,X4,tc_nat),X3,tc_nat)
| c_lessequals(X4,c_0,tc_nat) ),
inference(superposition,[],[f2082,f2026]) ).
fof(f8033,plain,
( spl0_270
| spl0_270
| spl0_271
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6885,f5798,f7818,f7815,f7815]) ).
fof(f6885,plain,
( ! [X38,X37] :
( class_Finite__Set_Ofinite(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f196,f5799]) ).
fof(f196,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37))
| ~ class_Finite__Set_Ofinite(X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f8029,plain,
( spl0_298
| spl0_299
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8022,f5798,f8027,f8024]) ).
fof(f8022,plain,
( ! [X1,X60] :
( c_List_Olist_ONil = X60
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6513,f5799]) ).
fof(f6513,plain,
( ! [X1,X60] :
( c_in(c_List_Olast(X60,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_List_Olist_ONil = X60 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1593,f5799]) ).
fof(f1593,axiom,
! [X1,X60] :
( c_List_Olist_ONil = X60
| c_in(c_List_Olast(X60,X1),c_List_Oset(X60,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olast__in__set_0) ).
fof(f8020,plain,
( ~ spl0_296
| spl0_297
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6612,f5798,f4293,f3828,f8018,f8014]) ).
fof(f8014,plain,
( spl0_296
<=> c_0 = c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f8018,plain,
( spl0_297
<=> ! [X4,X5,X3] : c_List_Olist_ONil = c_List_Olist_OCons(X3,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f6612,plain,
( ! [X3,X4,X5] :
( c_List_Olist_ONil = c_List_Olist_OCons(X3,X4,X5)
| c_0 != c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5719,f5799]) ).
fof(f5719,plain,
( ! [X3,X4,X5] :
( c_0 != c_plus(c_Nat_Osize(X4,tc_List_Olist(X5)),c_1,tc_nat)
| c_List_Olist_ONil = c_List_Olist_OCons(X3,X4,X5) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f1597,f4447]) ).
fof(f1597,axiom,
! [X1,X23] :
( c_0 != c_Nat_Osize(X23,tc_List_Olist(X1))
| c_List_Olist_ONil = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv_0) ).
fof(f8012,plain,
( ~ spl0_225
| spl0_248
| spl0_295
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f8008,f5798,f8010,f7650,f7495]) ).
fof(f8010,plain,
( spl0_295
<=> ! [X88] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X88),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f8008,plain,
( ! [X88,X86] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8007,f5799]) ).
fof(f8007,plain,
( ! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X88),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8006,f5799]) ).
fof(f8006,plain,
( ! [X88,X86,X87] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f8005,f5799]) ).
fof(f8005,plain,
( ! [X88,X86,X87] :
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7367,f5799]) ).
fof(f7367,plain,
( ! [X88,X86,X87] :
( c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3132,f5799]) ).
fof(f3132,plain,
! [X88,X86,X87] :
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) ),
inference(definition_unfolding,[],[f2819,f2812]) ).
fof(f2819,axiom,
! [X88,X86,X87] :
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X86,X87)),c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X86,X87),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__synth__analz_0) ).
fof(f8003,plain,
( spl0_294
| ~ spl0_276
| ~ spl0_81
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7998,f5798,f3621,f7867,f8000]) ).
fof(f3621,plain,
( spl0_81
<=> ! [X83] :
( ~ c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f7998,plain,
( ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_81
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7208,f5799]) ).
fof(f7208,plain,
( ! [X83] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_81
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3622,f5799]) ).
fof(f3622,plain,
( ! [X83] :
( ~ c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f3621]) ).
fof(f7991,plain,
( spl0_225
| ~ spl0_210
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7990,f5798,f4797,f7495]) ).
fof(f7990,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_210
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7989,f5799]) ).
fof(f7989,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_210
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7385,f5799]) ).
fof(f7385,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_210
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4799,f5799]) ).
fof(f7987,plain,
( ~ spl0_293
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7452,f5798,f7984]) ).
fof(f7452,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_OsymKeys,tc_nat)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2911,f5799]) ).
fof(f2911,axiom,
! [X27,X12] : ~ c_in(c_Public_OpublicKey(X27,X12),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__pubK_0) ).
fof(f7982,plain,
( spl0_259
| spl0_292
| spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7249,f5798,f7730,f7980,f7727]) ).
fof(f7249,plain,
( ! [X21,X0] :
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_less(c_0,X21,tc_nat)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2295,f5799]) ).
fof(f2295,axiom,
! [X21,X0] :
( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_Nat_Opower(X0,X21,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__power_2) ).
fof(f7975,plain,
( spl0_249
| spl0_267
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7974,f5798,f7799,f7658]) ).
fof(f7974,plain,
( ! [X9,X12] :
( ~ c_in(X9,X12,c_emptyset)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f7973,f7346]) ).
fof(f7973,plain,
( ! [X9,X12] :
( ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7972,f5799]) ).
fof(f7972,plain,
( ! [X2,X1,X9,X12] :
( c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7971,f5799]) ).
fof(f7971,plain,
( ! [X2,X1,X9,X12,X13] :
( c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X9,X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7970,f5799]) ).
fof(f7970,plain,
( ! [X2,X1,X9,X12,X13] :
( ~ c_in(X9,X12,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5830,f5799]) ).
fof(f5830,plain,
( ! [X2,X1,X9,X12,X13] :
( c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f21,f5799]) ).
fof(f21,axiom,
! [X2,X1,X9,X12,X13] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f7967,plain,
( spl0_291
| spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7963,f5798,f7495,f7965]) ).
fof(f7965,plain,
( spl0_291
<=> ! [X12] : ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f7963,plain,
( ! [X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7962,f5799]) ).
fof(f7962,plain,
( ! [X12] :
( c_in(c_Message_Omsg_OKey(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7400,f5799]) ).
fof(f7400,plain,
( ! [X102,X12] :
( c_in(c_Message_Omsg_OKey(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Event_Oknows(c_Message_Oagent_OSpy,X102),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2896,f5799]) ).
fof(f7952,plain,
( spl0_202
| spl0_290
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7948,f5798,f7950,f4482]) ).
fof(f7948,plain,
( ! [X1,X18] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = X18 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7227,f5799]) ).
fof(f7227,plain,
( ! [X21,X1,X18] :
( ~ class_Power_Orecpower(X1)
| c_less(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X18 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2360,f5799]) ).
fof(f2360,axiom,
! [X21,X18,X1] :
( c_0 = X18
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X18,X1),X21,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Ozero__less__power__abs__iff_1) ).
fof(f7947,plain,
( ~ spl0_260
| spl0_264
| spl0_264
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6022,f5798,f7771,f7771,f7730]) ).
fof(f6022,plain,
( ! [X3,X0] :
( c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2296,f5799]) ).
fof(f2296,axiom,
! [X3,X0] :
( c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint)
| ~ c_Parity_Oeven(c_times(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__product_0) ).
fof(f7946,plain,
( spl0_288
| spl0_289
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7270,f5798,f7944,f7941]) ).
fof(f7941,plain,
( spl0_288
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f7944,plain,
( spl0_289
<=> ! [X48] : ~ c_lessequals(c_0,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f7270,plain,
( ! [X48,X1] :
( ~ c_lessequals(c_0,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1398,f5799]) ).
fof(f1398,axiom,
! [X48,X1] :
( c_lessequals(c_0,c_IntDef_Oof__int(X48,X1),X1)
| ~ c_lessequals(c_0,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__0__le__iff_1) ).
fof(f7938,plain,
( spl0_286
| spl0_287
| spl0_287
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6014,f5798,f4293,f3828,f7936,f7936,f7932]) ).
fof(f6014,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,X15,tc_nat)
| c_lessequals(c_1,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4451,f5799]) ).
fof(f4451,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,X15,tc_nat)
| c_lessequals(c_1,c_times(X15,X21,tc_nat),tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(backward_demodulation,[],[f4282,f4295]) ).
fof(f4282,plain,
( ! [X21,X15] :
( c_lessequals(c_IntDef_Onat(c_1),c_times(X15,X21,tc_nat),tc_nat)
| ~ c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,X15,tc_nat) )
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3205,f3830]) ).
fof(f3205,plain,
! [X21,X15] :
( ~ c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,X15,tc_nat)
| c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X15,X21,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f2097,f2544]) ).
fof(f2097,axiom,
! [X21,X15] :
( c_lessequals(c_Suc(c_0),c_times(X15,X21,tc_nat),tc_nat)
| ~ c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_1,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_2) ).
fof(f7930,plain,
( ~ spl0_242
| spl0_285
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7926,f5798,f7928,f7597]) ).
fof(f7926,plain,
( ! [X21,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6924,f5799]) ).
fof(f6924,plain,
( ! [X21,X16,X15] :
( c_lessequals(X15,X21,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_plus(X16,X21,tc_nat),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2082,f5799]) ).
fof(f7922,plain,
( spl0_284
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6227,f5798,f7919]) ).
fof(f7919,plain,
( spl0_284
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f6227,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5051,f5799]) ).
fof(f5051,plain,
! [X8,X6,X7] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_insert(X8,c_insert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X7),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[],[f4587,f2799]) ).
fof(f4587,plain,
! [X18,X19] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_insert(X18,c_Event_Oknows(c_Message_Oagent_OSpy,X19),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[],[f2925,f2799]) ).
fof(f2925,axiom,
! [X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(X12,X102),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__knows_0) ).
fof(f7917,plain,
( spl0_276
| ~ spl0_283
| ~ spl0_83
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7912,f5798,f3630,f7914,f7867]) ).
fof(f7914,plain,
( spl0_283
<=> c_IntDef_Oneg(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f3630,plain,
( spl0_83
<=> ! [X83] :
( c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f7912,plain,
( ~ c_IntDef_Oneg(c_0,tc_IntDef_Oint)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_83
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f7911,f2089]) ).
fof(f7911,plain,
( ~ c_IntDef_Oneg(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ spl0_83
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7209,f5799]) ).
fof(f7209,plain,
( ! [X83] :
( c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_83
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3631,f5799]) ).
fof(f3631,plain,
( ! [X83] :
( c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3630]) ).
fof(f7910,plain,
( spl0_235
| spl0_226
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7909,f5798,f7512,f7553]) ).
fof(f7909,plain,
( ! [X1,X27,X5] :
( ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7908,f5799]) ).
fof(f7908,plain,
( ! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5843,f5799]) ).
fof(f5843,plain,
( ! [X2,X1,X27,X5,X12] :
( c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f73,f5799]) ).
fof(f73,axiom,
! [X2,X1,X27,X5,X12] :
( c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f7904,plain,
( ~ spl0_281
| spl0_282
| ~ spl0_38
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7896,f5798,f3399,f7902,f7898]) ).
fof(f7898,plain,
( spl0_281
<=> c_1 = c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f7902,plain,
( spl0_282
<=> ! [X0] : c_0 != c_Divides_Oop_Amod(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f7896,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_1 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_38
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7895,f5799]) ).
fof(f7895,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_38
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7218,f5799]) ).
fof(f7218,plain,
( ! [X0] :
( c_1 != c_Divides_Oop_Amod(X0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4418,f5799]) ).
fof(f4418,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4417,f3401]) ).
fof(f4417,plain,
( ! [X0] :
( c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4416,f2154]) ).
fof(f4416,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_Obin__succ(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4415,f3401]) ).
fof(f4415,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4414,f2154]) ).
fof(f4414,plain,
( ! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(forward_demodulation,[],[f4337,f3401]) ).
fof(f4337,plain,
( ! [X0] :
( c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_38 ),
inference(backward_demodulation,[],[f2309,f3401]) ).
fof(f2309,axiom,
! [X0] :
( c_0 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 != c_Divides_Oop_Amod(X0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oneq__one__mod__two_1) ).
fof(f7894,plain,
( ~ spl0_257
| spl0_280
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7017,f5798,f7892,f7708]) ).
fof(f7892,plain,
( spl0_280
<=> ! [X13,X12,X1] : c_lessequals(X12,X13,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f7017,plain,
( ! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2591,f5799]) ).
fof(f2591,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_emptyset != c_minus(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__eq__empty__iff_0) ).
fof(f7882,plain,
( ~ spl0_278
| spl0_279
| ~ spl0_148
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7381,f5798,f3989,f7880,f7876]) ).
fof(f7381,plain,
( ! [X1] :
( c_in(X1,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_emptyset),tc_Message_Omsg) )
| ~ spl0_148
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5529,f5799]) ).
fof(f5529,plain,
( ! [X0,X1] :
( c_in(X1,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_emptyset),tc_Message_Omsg) )
| ~ spl0_148 ),
inference(superposition,[],[f2841,f3991]) ).
fof(f7873,plain,
( ~ spl0_276
| spl0_277
| spl0_277
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6919,f5798,f7871,f7871,f7867]) ).
fof(f6919,plain,
( ! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2028,f5799]) ).
fof(f2028,axiom,
! [X21,X15] :
( ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat)
| c_less(c_0,X21,tc_nat)
| c_less(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0_0) ).
fof(f7863,plain,
( spl0_275
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6845,f5798,f7860]) ).
fof(f6845,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f93,f5799]) ).
fof(f93,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f7856,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7855,f5798,f7650,f7495]) ).
fof(f7855,plain,
( ! [X13] :
( c_in(X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7854,f5799]) ).
fof(f7854,plain,
( ! [X12,X13] :
( c_in(X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7379,f5799]) ).
fof(f7379,plain,
( ! [X12,X13] :
( c_in(X13,c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5526,f5799]) ).
fof(f5526,plain,
! [X14,X12,X13] :
( ~ c_in(c_Message_Omsg_OMPair(X13,X14),c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg)
| c_in(X13,c_Message_Osynth(c_Message_Oparts(X12)),tc_Message_Omsg) ),
inference(superposition,[],[f2840,f2862]) ).
fof(f7847,plain,
( spl0_273
| spl0_274
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7840,f5798,f7845,f7842]) ).
fof(f7842,plain,
( spl0_273
<=> ! [X1] :
( c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f7845,plain,
( spl0_274
<=> ! [X48,X11] : ~ c_lessequals(X11,X48,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f7840,plain,
( ! [X48,X11,X1] :
( ~ c_lessequals(X11,X48,tc_IntDef_Oint)
| c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7278,f5799]) ).
fof(f7278,plain,
( ! [X48,X11,X1] :
( ~ c_lessequals(X11,X48,tc_IntDef_Oint)
| c_lessequals(c_IntDef_Oof__int(X11,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1411,f5799]) ).
fof(f1411,axiom,
! [X48,X11,X1] :
( c_lessequals(c_IntDef_Oof__int(X11,X1),c_IntDef_Oof__int(X48,X1),X1)
| ~ c_lessequals(X11,X48,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__le__iff_1) ).
fof(f7832,plain,
( spl0_272
| spl0_221
| ~ spl0_220
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6932,f5798,f7462,f7466,f7830]) ).
fof(f6932,plain,
( ! [X3,X0] :
( ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_Parity_Oeven(X3,tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2287,f5799]) ).
fof(f2287,axiom,
! [X3,X0] :
( c_Parity_Oeven(X3,tc_nat)
| ~ c_Parity_Oeven(c_plus(X0,X3,tc_nat),tc_nat)
| ~ c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__sum_1) ).
fof(f7822,plain,
( spl0_260
| spl0_259
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6024,f5798,f7727,f7730]) ).
fof(f6024,plain,
( ! [X3] :
( ~ c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2298,f5799]) ).
fof(f2298,axiom,
! [X3,X0] :
( c_Parity_Oeven(c_times(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X3,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__product_2) ).
fof(f7821,plain,
( spl0_270
| spl0_271
| spl0_270
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f5855,f5798,f7815,f7818,f7815]) ).
fof(f5855,plain,
( ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ class_Finite__Set_Ofinite(X38) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f246,f5799]) ).
fof(f246,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X37)
| ~ class_Finite__Set_Ofinite(X38)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f7812,plain,
( spl0_268
| ~ spl0_269
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7804,f5798,f4293,f3828,f7809,f7806]) ).
fof(f7804,plain,
( ! [X2] :
( c_0 != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_1 = X2 )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7803,f2763]) ).
fof(f7803,plain,
( ! [X2] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Nat_Osize(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_1 = X2 )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7802,f5799]) ).
fof(f7802,plain,
( ! [X2,X0,X1] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg)
| c_1 = X2 )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6631,f5799]) ).
fof(f6631,plain,
( ! [X2,X0,X1] :
( c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) != c_plus(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat)
| c_1 = X2 )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5109,f5799]) ).
fof(f5109,plain,
( ! [X2,X0,X1] :
( c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) != c_plus(c_plus(c_Nat_Osize(X0,tc_Message_Omsg),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat)
| c_1 = X2 )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2081,f4431]) ).
fof(f7801,plain,
( spl0_249
| spl0_267
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7797,f5798,f7799,f7658]) ).
fof(f7797,plain,
( ! [X7,X13] :
( ~ c_in(X7,X13,c_emptyset)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_subsumption_demodulation,[],[f7796,f7346]) ).
fof(f7796,plain,
( ! [X7,X13] :
( ~ c_in(X7,X13,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7795,f5799]) ).
fof(f7795,plain,
( ! [X7,X13] :
( ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7794,f5799]) ).
fof(f7794,plain,
( ! [X2,X1,X7,X13] :
( c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7793,f5799]) ).
fof(f7793,plain,
( ! [X2,X1,X7,X12,X13] :
( c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5831,f5799]) ).
fof(f5831,plain,
( ! [X2,X1,X7,X12,X13] :
( c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X7,X13,tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f22,f5799]) ).
fof(f22,axiom,
! [X2,X1,X7,X12,X13] :
( c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f7792,plain,
( spl0_240
| ~ spl0_24
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7791,f5798,f3326,f7584]) ).
fof(f3326,plain,
( spl0_24
<=> c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f7791,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_24
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6559,f5799]) ).
fof(f6559,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ spl0_24
| ~ spl0_218 ),
inference(backward_demodulation,[],[f3328,f5799]) ).
fof(f3328,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f7790,plain,
( spl0_265
| spl0_266
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6077,f5798,f7787,f7784]) ).
fof(f7787,plain,
( spl0_266
<=> c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f6077,plain,
( ! [X27] :
( c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,tc_IntDef_Oint)
| ~ c_less(X27,c_0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1455,f5799]) ).
fof(f1455,axiom,
! [X18,X27] :
( ~ c_less(X27,c_0,tc_IntDef_Oint)
| c_lessequals(c_Divides_Oop_Amod(X18,X27,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Oneg__mod__sign_0) ).
fof(f7773,plain,
( spl0_264
| spl0_260
| spl0_264
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6911,f5798,f7771,f7730,f7771]) ).
fof(f6911,plain,
( ! [X3,X0] :
( c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| c_Parity_Oeven(X3,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2302,f5799]) ).
fof(f2302,axiom,
! [X3,X0] :
( c_Parity_Oeven(X3,tc_IntDef_Oint)
| c_Parity_Oeven(X0,tc_IntDef_Oint)
| c_Parity_Oeven(c_plus(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__sum_3) ).
fof(f7767,plain,
( spl0_248
| ~ spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7766,f5798,f7495,f7650]) ).
fof(f7766,plain,
( ! [X3] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7765,f5799]) ).
fof(f7765,plain,
( ! [X3,X4] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7764,f5799]) ).
fof(f7764,plain,
( ! [X2,X3,X1,X4] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg)
| c_in(X3,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6195,f5799]) ).
fof(f6195,plain,
( ! [X2,X3,X1,X4] :
( c_in(X3,c_union(c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4598,f5799]) ).
fof(f4598,plain,
! [X2,X3,X1,X4] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg)
| c_in(X3,c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f2893,f2801]) ).
fof(f2893,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Event_Oused(X88),tc_Message_Omsg)
| c_in(X86,c_Event_Oused(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).
fof(f7761,plain,
( spl0_234
| spl0_227
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7760,f5798,f7515,f7550]) ).
fof(f7760,plain,
( ! [X1,X4,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1)
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7759,f5799]) ).
fof(f7759,plain,
( ! [X1,X4,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5870,f5799]) ).
fof(f5870,plain,
( ! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f80,f5799]) ).
fof(f80,axiom,
! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f7758,plain,
( spl0_263
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7754,f5798,f7650,f7756]) ).
fof(f7754,plain,
( ! [X10,X8] :
( c_in(X8,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X10,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7753,f5799]) ).
fof(f7753,plain,
( ! [X10,X11,X8] :
( ~ c_in(c_Message_Omsg_OMPair(X8,X11),X10,tc_Message_Omsg)
| c_in(X8,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7088,f5799]) ).
fof(f7088,plain,
( ! [X10,X11,X8] :
( c_in(X8,c_Message_Oanalz(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X8,X11),X10,tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4999,f5799]) ).
fof(f4999,plain,
! [X10,X11,X8,X9] :
( ~ c_in(c_Message_Omsg_OMPair(X8,X11),X10,tc_Message_Omsg)
| c_in(X8,c_Message_Oanalz(c_union(X9,X10,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4541,f2642]) ).
fof(f7746,plain,
( spl0_261
| spl0_262
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7739,f5798,f7744,f7741]) ).
fof(f7744,plain,
( spl0_262
<=> ! [X27,X1] :
( ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f7739,plain,
( ! [X3,X0,X1,X27] :
( ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_less(c_1,X27,X1)
| c_less(X0,X3,tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7241,f5799]) ).
fof(f7241,plain,
( ! [X3,X0,X1,X27] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_less(X0,X3,tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Opower(X27,X3,X1),X1)
| ~ c_less(c_1,X27,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2355,f5799]) ).
fof(f2355,axiom,
! [X3,X0,X1,X27] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_less(c_Nat_Opower(X27,X0,X1),c_Nat_Opower(X27,X3,X1),X1)
| c_less(X0,X3,tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,X27,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower__strict__increasing__iff_0) ).
fof(f7733,plain,
( spl0_259
| spl0_260
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6023,f5798,f7730,f7727]) ).
fof(f6023,plain,
( ! [X0] :
( c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2297,f5799]) ).
fof(f2297,axiom,
! [X3,X0] :
( c_Parity_Oeven(c_times(X0,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__product_1) ).
fof(f7722,plain,
( ~ spl0_257
| spl0_258
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6398,f5798,f7720,f7708]) ).
fof(f7720,plain,
( spl0_258
<=> ! [X12,X1,X24] :
( ~ c_in(X24,X12,tc_set(X1))
| c_emptyset = X24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f6398,plain,
( ! [X1,X24,X12] :
( ~ c_in(X24,X12,tc_set(X1))
| c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| c_emptyset = X24 )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2669,f5799]) ).
fof(f2669,axiom,
! [X1,X24,X12] :
( c_emptyset = X24
| c_emptyset != c_Union(X12,X1)
| ~ c_in(X24,X12,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__Union__conv_0) ).
fof(f7711,plain,
( spl0_256
| ~ spl0_257
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7703,f5798,f7708,f7705]) ).
fof(f7703,plain,
( ! [X18,X1,X13] :
( c_emptyset != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ c_in(X18,X13,X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6125,f5799]) ).
fof(f6125,plain,
( ! [X1,X18,X13] :
( c_emptyset != c_Relation_OImage(c_Relation_Odiag(X13,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1,X1)
| ~ c_in(X18,X13,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2986,f5799]) ).
fof(f2986,plain,
! [X18,X1,X12,X13] :
( ~ c_in(X18,X13,X1)
| c_emptyset != c_Relation_OImage(c_Relation_Odiag(X13,X1),c_insert(X18,X12,X1),X1,X1) ),
inference(definition_unfolding,[],[f2661,f2373]) ).
fof(f2661,axiom,
! [X18,X1,X12,X13] :
( ~ c_in(X18,X13,X1)
| c_emptyset != c_inter(X13,c_insert(X18,X12,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Odisjoint__insert__1_0) ).
fof(f7700,plain,
( spl0_254
| spl0_255
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7279,f5798,f7698,f7695]) ).
fof(f7695,plain,
( spl0_254
<=> ! [X11] : c_less(X11,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f7698,plain,
( spl0_255
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f7279,plain,
( ! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| c_less(X11,c_0,tc_IntDef_Oint) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1412,f5799]) ).
fof(f1412,axiom,
! [X11,X1] :
( ~ c_less(c_IntDef_Oof__int(X11,X1),c_0,X1)
| c_less(X11,c_0,tc_IntDef_Oint)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oof__int__less__0__iff_0) ).
fof(f7689,plain,
( ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6337,f5798,f7523]) ).
fof(f6337,plain,
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5419,f5799]) ).
fof(f5419,plain,
! [X10,X11] : c_emptyset != c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X10),X11,tc_Message_Omsg)),
inference(superposition,[],[f2673,f2876]) ).
fof(f7683,plain,
( spl0_252
| spl0_253
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7676,f5798,f7681,f7678]) ).
fof(f7678,plain,
( spl0_252
<=> ! [X1] : c_List_Olist_ONil = c_List_Osublist(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f7681,plain,
( spl0_253
<=> ! [X47] : c_0 != c_Numeral_Onumber__of(X47,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f7676,plain,
( ! [X47,X1] :
( c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_List_Olist_ONil = c_List_Osublist(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6704,f5799]) ).
fof(f6704,plain,
( ! [X47,X1] :
( c_List_Olist_ONil = c_List_Osublist(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),X1)
| c_0 != c_Numeral_Onumber__of(X47,tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2987,f5799]) ).
fof(f2987,plain,
! [X0,X47,X1,X23] :
( c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_List_Olist_ONil = c_List_Osublist(c_List_Olist_OCons(X0,X23,X1),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),X1) ),
inference(definition_unfolding,[],[f1767,f1766]) ).
fof(f1767,axiom,
! [X0,X47,X1,X23] :
( c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_List_Olist_ONil = c_List_Otake(c_Numeral_Onumber__of(X47,tc_nat),c_List_Olist_OCons(X0,X23,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Otake__Cons__number__of_0) ).
fof(f7675,plain,
( spl0_251
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7670,f5798,f7672]) ).
fof(f7670,plain,
( c_lessequals(c_0,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7230,f5799]) ).
fof(f7230,plain,
( ! [X21] : c_lessequals(c_0,c_Nat_Opower(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X21,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1483,f5799]) ).
fof(f1483,axiom,
! [X21,X0] : c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X21,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__le__zpower__abs_0) ).
fof(f7664,plain,
( ~ spl0_249
| spl0_250
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7656,f5798,f7662,f7658]) ).
fof(f7662,plain,
( spl0_250
<=> ! [X1] : ~ c_Wellfounded__Recursion_Oacyclic(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f7656,plain,
( ! [X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7655,f5799]) ).
fof(f7655,plain,
( ! [X3,X0,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7654,f5799]) ).
fof(f7654,plain,
( ! [X3,X0,X1,X5] :
( ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X1),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_Wellfounded__Recursion_Oacyclic(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7653,f5799]) ).
fof(f7653,plain,
( ! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5895,f5799]) ).
fof(f5895,plain,
( ! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4171,f5799]) ).
fof(f4171,plain,
! [X3,X0,X1,X5] :
( ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Otrancl(c_union(X5,c_Relation_OId,tc_prod(X1,X1)),X1),tc_prod(X1,X1))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
inference(forward_demodulation,[],[f3119,f3109]) ).
fof(f3119,plain,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_union(c_Transitive__Closure_Otrancl(X5,X1),c_Relation_OId,tc_prod(X1,X1)),tc_prod(X1,X1)) ),
inference(definition_unfolding,[],[f2720,f2708]) ).
fof(f2720,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert_1) ).
fof(f7652,plain,
( ~ spl0_225
| spl0_248
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7648,f5798,f7650,f7495]) ).
fof(f7648,plain,
( ! [X86] :
( c_in(X86,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7647,f5799]) ).
fof(f7647,plain,
( ! [X88,X86] :
( c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7356,f5799]) ).
fof(f7356,plain,
( ! [X88,X86] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg)
| c_in(X86,c_Message_Osynth(c_Message_Oanalz(X88)),tc_Message_Omsg) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2840,f5799]) ).
fof(f7646,plain,
( spl0_220
| spl0_247
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7642,f5798,f7644,f7462]) ).
fof(f7644,plain,
( spl0_247
<=> ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_lessequals(X0,c_0,X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f7642,plain,
( ! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| c_lessequals(X0,c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7184,f5799]) ).
fof(f7184,plain,
( ! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(X0,c_0,X1)
| c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2319,f5799]) ).
fof(f2319,axiom,
! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(X0,c_0,X1)
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1)
| c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_2) ).
fof(f7635,plain,
( spl0_202
| spl0_246
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7131,f5798,f7633,f4482]) ).
fof(f7633,plain,
( spl0_246
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f7131,plain,
( ! [X1,X15] :
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_0 = X15
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1814,f5799]) ).
fof(f1814,axiom,
! [X1,X15] :
( ~ c_lessequals(c_NatArith_Oof__nat(X15,X1),c_0,X1)
| c_0 = X15
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__le__0__iff_0) ).
fof(f7628,plain,
( spl0_236
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7420,f5798,f7564]) ).
fof(f7564,plain,
( spl0_236
<=> ! [X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f7420,plain,
( ! [X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2897,f5799]) ).
fof(f2897,axiom,
! [X12,X102] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oknows(c_Message_Oagent_OSpy,X102),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f7626,plain,
( spl0_245
| spl0_241
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7622,f5798,f7588,f7624]) ).
fof(f7622,plain,
( ! [X1,X27,X4] :
( X4 = X27
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7621]) ).
fof(f7621,plain,
( ! [X1,X27,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X4 = X27 )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6904,f5799]) ).
fof(f6904,plain,
( ! [X18,X1,X27,X4] :
( c_plus(X27,X18,X1) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| X4 = X27
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2195,f5799]) ).
fof(f2195,axiom,
! [X1,X18,X27,X4] :
( X4 = X27
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_plus(X4,X18,X1) != c_plus(X27,X18,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__right__cancel_0) ).
fof(f7616,plain,
( ~ spl0_220
| spl0_244
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7612,f5798,f7614,f7462]) ).
fof(f7614,plain,
( spl0_244
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f7612,plain,
( ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7187,f5799]) ).
fof(f7187,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2323,f5799]) ).
fof(f2323,axiom,
! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__less__zero__eq__number__of_0) ).
fof(f7603,plain,
( ~ spl0_242
| spl0_243
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7595,f5798,f4293,f3828,f7601,f7597]) ).
fof(f7595,plain,
( ! [X2] :
( c_lessequals(c_1,X2,tc_nat)
| ~ c_lessequals(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7594,f5799]) ).
fof(f7594,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| c_lessequals(c_1,X2,tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6633,f5799]) ).
fof(f6633,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_1,X2,tc_nat)
| ~ c_lessequals(c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),c_plus(c_plus(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat),tc_nat) )
| ~ spl0_119
| ~ spl0_193
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5461,f5799]) ).
fof(f5461,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),c_plus(c_plus(c_Nat_Osize(X0,tc_Message_Omsg),c_Nat_Osize(X1,tc_Message_Omsg),tc_nat),X2,tc_nat),tc_nat)
| c_lessequals(c_1,X2,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2082,f4431]) ).
fof(f7590,plain,
( ~ spl0_240
| spl0_241
| ~ spl0_118
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7582,f5798,f3823,f7588,f7584]) ).
fof(f7582,plain,
( ! [X3,X6] :
( X3 = X6
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(duplicate_literal_removal,[],[f7581]) ).
fof(f7581,plain,
( ! [X3,X6] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X3 = X6
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7580,f5799]) ).
fof(f7580,plain,
( ! [X2,X3,X10,X8,X6,X9,X7] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X3 = X6
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X9)))),X10)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent) )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7579,f5799]) ).
fof(f7579,plain,
( ! [X2,X3,X10,X8,X6,X9,X7] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| X3 = X6 )
| ~ spl0_118
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6565,f5799]) ).
fof(f6565,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X3 = X6 )
| ~ spl0_118
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4679,f5799]) ).
fof(f4679,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X6,X9)))),X10)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(X3,X4)))),X5)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| X3 = X6 )
| ~ spl0_118 ),
inference(resolution,[],[f2944,f3825]) ).
fof(f7577,plain,
( spl0_238
| ~ spl0_239
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f6719,f5798,f7574,f7571]) ).
fof(f6719,plain,
( ! [X1] :
( c_emptyset != c_Event_Oused(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_emptyset = c_Event_Oused(X1) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4819,f5799]) ).
fof(f4819,plain,
! [X2,X3,X0,X1] :
( c_emptyset != c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X1,tc_Event_Oevent))
| c_emptyset = c_Event_Oused(X1) ),
inference(superposition,[],[f2636,f2802]) ).
fof(f2802,axiom,
! [X86,X102,X12,X13] : c_union(c_Message_Oparts(c_insert(X86,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X102),tc_Message_Omsg) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X12,X13,X86),X102,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oused__Says_0) ).
fof(f7569,plain,
( spl0_236
| spl0_237
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7390,f5798,f7567,f7564]) ).
fof(f7390,plain,
( ! [X102,X12] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2940,f5799]) ).
fof(f7555,plain,
( spl0_234
| spl0_235
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7548,f5798,f7553,f7550]) ).
fof(f7548,plain,
( ! [X4,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7547,f5799]) ).
fof(f7547,plain,
( ! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7546,f5799]) ).
fof(f7546,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7545,f5799]) ).
fof(f7545,plain,
( ! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))))
| c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5824,f5799]) ).
fof(f5824,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f15,f5799]) ).
fof(f15,axiom,
! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f7544,plain,
( ~ spl0_232
| spl0_233
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7536,f5798,f7542,f7538]) ).
fof(f7538,plain,
( spl0_232
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f7542,plain,
( spl0_233
<=> ! [X10] : c_in(c_Event_Oused(X10),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f7536,plain,
( ! [X10] :
( c_in(c_Event_Oused(X10),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6722,f5799]) ).
fof(f6722,plain,
( ! [X10] :
( c_in(c_Event_Oused(X10),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg))
| ~ c_in(c_Event_Oused(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5326,f5799]) ).
fof(f5326,plain,
! [X10,X11,X9,X12] :
( c_in(c_Event_Oused(X10),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg))
| ~ c_in(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X11,X12,X9),X10,tc_Event_Oevent)),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f1287,f2802]) ).
fof(f1287,axiom,
! [X1,X19,X20] :
( ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(X20,c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un_1) ).
fof(f7535,plain,
( spl0_230
| spl0_230
| spl0_231
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7527,f5798,f7532,f7529,f7529]) ).
fof(f7529,plain,
( spl0_230
<=> ! [X2,X33] : ~ c_Relation_Otrans(X33,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f7532,plain,
( spl0_231
<=> c_Relation_Otrans(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f7527,plain,
( ! [X2,X1,X34,X33] :
( c_Relation_Otrans(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ c_Relation_Otrans(X34,X1)
| ~ c_Relation_Otrans(X33,X2) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5853,f5799]) ).
fof(f5853,plain,
( ! [X2,X1,X34,X33] :
( ~ c_Relation_Otrans(X34,X1)
| ~ c_Relation_Otrans(X33,X2)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f125,f5799]) ).
fof(f125,axiom,
! [X2,X1,X34,X33] :
( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2))
| ~ c_Relation_Otrans(X34,X1)
| ~ c_Relation_Otrans(X33,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f7526,plain,
( spl0_228
| ~ spl0_229
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7097,f5798,f7523,f7520]) ).
fof(f7097,plain,
( ! [X8] :
( c_emptyset != c_Message_Oparts(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_emptyset = c_Message_Oparts(X8) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f5233,f5799]) ).
fof(f5233,plain,
! [X8,X7] :
( c_emptyset = c_Message_Oparts(X8)
| c_emptyset != c_Message_Oparts(c_union(X7,X8,tc_Message_Omsg)) ),
inference(superposition,[],[f2636,f2768]) ).
fof(f7517,plain,
( spl0_226
| spl0_227
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7510,f5798,f7515,f7512]) ).
fof(f7510,plain,
( ! [X2,X1,X27,X12] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X12,X2)
| ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6745,f5799]) ).
fof(f6745,plain,
( ! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f72,f5799]) ).
fof(f72,axiom,
! [X2,X1,X27,X5,X12] :
( c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2)
| ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f7498,plain,
( spl0_225
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7493,f5798,f7495]) ).
fof(f7493,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7392,f5799]) ).
fof(f7392,plain,
( ! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_Message_Omsg)
| ~ spl0_218 ),
inference(backward_demodulation,[],[f4913,f5799]) ).
fof(f4913,plain,
! [X2,X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),
inference(resolution,[],[f2898,f2852]) ).
fof(f2898,axiom,
! [X27,X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Oanalz__spies__pubK_0) ).
fof(f7487,plain,
( spl0_223
| spl0_224
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7479,f5798,f7484,f7481]) ).
fof(f7484,plain,
( spl0_224
<=> c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f7479,plain,
( ! [X21,X15] :
( c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat)
| ~ c_less(X15,X21,tc_nat) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f6927,f5799]) ).
fof(f6927,plain,
( ! [X21,X16,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_plus(X16,X21,tc_nat),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2085,f5799]) ).
fof(f2085,axiom,
! [X21,X16,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_plus(X16,X15,tc_nat),c_plus(X16,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__less_1) ).
fof(f7478,plain,
( spl0_222
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7473,f5798,f7475]) ).
fof(f7473,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7472]) ).
fof(f7472,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7471,f5799]) ).
fof(f7471,plain,
( ! [X0,X47] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_plus(X0,X47,tc_nat) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f7470,f5799]) ).
fof(f7470,plain,
( ! [X3,X0,X47,X14] :
( c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X14,X47,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)))
| c_plus(X0,X47,tc_nat) != c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) )
| ~ spl0_218 ),
inference(forward_demodulation,[],[f5897,f5799]) ).
fof(f5897,plain,
( ! [X3,X0,X47,X14] :
( c_plus(X0,X47,tc_nat) != c_plus(X14,X3,tc_nat)
| c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X14,X47,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,c_Message_Omsg_OKey(c_Public_OshrK(v_Ba))) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f1383,f5799]) ).
fof(f1383,axiom,
! [X3,X0,X47,X14] :
( c_plus(X0,X47,tc_nat) != c_plus(X14,X3,tc_nat)
| c_in(c_Pair(c_Pair(X0,X3,tc_nat,tc_nat),c_Pair(X14,X47,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Ointrel__iff_1) ).
fof(f7468,plain,
( ~ spl0_220
| spl0_221
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7246,f5798,f7466,f7462]) ).
fof(f7246,plain,
( ! [X0] :
( c_Parity_Oeven(X0,tc_nat)
| ~ c_Parity_Oeven(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),tc_nat) )
| ~ spl0_218 ),
inference(backward_demodulation,[],[f2280,f5799]) ).
fof(f2280,axiom,
! [X3,X0] :
( ~ c_Parity_Oeven(c_Nat_Opower(X0,X3,tc_nat),tc_nat)
| c_Parity_Oeven(X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__power_0) ).
fof(f5803,plain,
( spl0_218
| spl0_219
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f5788,f3348,f5801,f5798]) ).
fof(f5801,plain,
( spl0_219
<=> ! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f5788,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = X1 )
| ~ spl0_28 ),
inference(resolution,[],[f5746,f2683]) ).
fof(f2683,axiom,
! [X18,X1,X27,X12] :
( ~ c_in(X18,c_insert(X27,X12,X1),X1)
| X18 = X27
| c_in(X18,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
fof(f5746,plain,
( ! [X8,X7] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_28 ),
inference(resolution,[],[f4585,f3350]) ).
fof(f4585,plain,
! [X10,X8,X9] :
( ~ c_in(X10,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X10)),c_insert(X8,c_Event_Oknows(c_Message_Oagent_OSpy,X9),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[],[f2897,f2799]) ).
fof(f5743,plain,
( spl0_217
| ~ spl0_19
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5722,f4293,f3828,f3304,f5741]) ).
fof(f5741,plain,
( spl0_217
<=> ! [X6,X7,X8] : c_less(c_0,c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f3304,plain,
( spl0_19
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f5722,plain,
( ! [X8,X6,X7] :
( ~ c_less(c_0,c_1,tc_nat)
| c_less(c_0,c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)),tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2030,f4447]) ).
fof(f2030,axiom,
! [X21,X15] :
( c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat)
| ~ c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0_2) ).
fof(f5739,plain,
( spl0_3
| spl0_216
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5724,f4293,f3828,f5737,f3223]) ).
fof(f5737,plain,
( spl0_216
<=> ! [X13,X12,X14] : c_0 != c_Nat_Osize(c_List_Olist_OCons(X14,X12,X13),tc_List_Olist(X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f5724,plain,
( ! [X14,X12,X13] :
( c_0 != c_Nat_Osize(c_List_Olist_OCons(X14,X12,X13),tc_List_Olist(X13))
| c_0 = c_1 )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2032,f4447]) ).
fof(f2032,axiom,
! [X21,X15] :
( c_0 != c_plus(X15,X21,tc_nat)
| c_0 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_1) ).
fof(f4938,plain,
( ~ spl0_19
| spl0_215
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4932,f4293,f3828,f4936,f3304]) ).
fof(f4936,plain,
( spl0_215
<=> ! [X0,X1] : c_less(c_0,c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f4932,plain,
( ! [X0,X1] :
( c_less(c_0,c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),tc_nat)
| ~ c_less(c_0,c_1,tc_nat) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2030,f4431]) ).
fof(f4911,plain,
( spl0_214
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f4906,f3660,f4908]) ).
fof(f3660,plain,
( spl0_89
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f4906,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset))
| ~ spl0_89 ),
inference(forward_demodulation,[],[f4900,f2638]) ).
fof(f2638,axiom,
! [X3,X1] : c_union(c_emptyset,X3,X1) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f4900,plain,
( c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_89 ),
inference(superposition,[],[f2883,f3662]) ).
fof(f3662,plain,
( c_emptyset = c_Message_Oparts(c_emptyset)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f4898,plain,
( spl0_213
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f4893,f3989,f4895]) ).
fof(f4893,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oanalz(c_Message_Osynth(c_emptyset))
| ~ spl0_148 ),
inference(forward_demodulation,[],[f4885,f2638]) ).
fof(f4885,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_148 ),
inference(superposition,[],[f2865,f3991]) ).
fof(f4882,plain,
( spl0_212
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4871,f4591,f4879]) ).
fof(f4591,plain,
( spl0_207
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f4871,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_207 ),
inference(resolution,[],[f2852,f4593]) ).
fof(f4593,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f4591]) ).
fof(f4813,plain,
( spl0_211
| spl0_3
| ~ spl0_119
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4807,f4293,f3828,f3223,f4811]) ).
fof(f4807,plain,
( ! [X0,X1] :
( c_0 = c_1
| c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) )
| ~ spl0_119
| ~ spl0_193 ),
inference(superposition,[],[f2032,f4431]) ).
fof(f4800,plain,
( spl0_210
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4789,f4591,f4797]) ).
fof(f4789,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_207 ),
inference(resolution,[],[f4593,f2834]) ).
fof(f4795,plain,
( spl0_209
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4790,f4591,f4792]) ).
fof(f4790,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_207 ),
inference(resolution,[],[f4593,f2833]) ).
fof(f4709,plain,
( spl0_208
| ~ spl0_24
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f4704,f3823,f3326,f4706]) ).
fof(f4704,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_24
| ~ spl0_118 ),
inference(resolution,[],[f4663,f3328]) ).
fof(f4594,plain,
( spl0_207
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f4588,f3938,f4591]) ).
fof(f4588,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_139 ),
inference(resolution,[],[f2933,f3940]) ).
fof(f4519,plain,
( ~ spl0_206
| spl0_190 ),
inference(avatar_split_clause,[],[f4512,f4247,f4516]) ).
fof(f4512,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_190 ),
inference(resolution,[],[f2847,f4249]) ).
fof(f4510,plain,
( spl0_205
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f4505,f3238,f4507]) ).
fof(f3238,plain,
( spl0_6
<=> c_in(v_K,c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4505,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_6 ),
inference(resolution,[],[f2899,f3240]) ).
fof(f3240,plain,
( c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f2899,axiom,
! [X3] :
( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f4495,plain,
( spl0_204
| ~ spl0_192
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4490,f4293,f4286,f4492]) ).
fof(f4492,plain,
( spl0_204
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f4286,plain,
( spl0_192
<=> c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f4490,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_192
| ~ spl0_193 ),
inference(forward_demodulation,[],[f4288,f4295]) ).
fof(f4288,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f4286]) ).
fof(f4489,plain,
( spl0_199
| spl0_203
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4485,f4030,f4487,f4470]) ).
fof(f4470,plain,
( spl0_199
<=> ! [X11] : ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f4487,plain,
( spl0_203
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_1,X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f4030,plain,
( spl0_155
<=> ! [X11] :
( c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f4485,plain,
( ! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_lessequals(c_0,c_1,X1) )
| ~ spl0_155 ),
inference(forward_subsumption_demodulation,[],[f4462,f2357]) ).
fof(f2357,axiom,
! [X18,X1] :
( c_1 = c_Nat_Opower(X18,c_0,X1)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Orecpower__class_Oaxioms__1_0) ).
fof(f4462,plain,
( ! [X0,X11,X1] :
( c_lessequals(c_0,c_Nat_Opower(X0,c_0,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_155 ),
inference(backward_subsumption_demodulation,[],[f2329,f4031]) ).
fof(f4031,plain,
( ! [X11] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f4030]) ).
fof(f4484,plain,
( spl0_201
| spl0_202
| spl0_199
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4477,f4030,f4470,f4482,f4479]) ).
fof(f4479,plain,
( spl0_201
<=> ! [X1] :
( ~ c_lessequals(c_1,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f4477,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = X0
| ~ c_lessequals(c_1,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_155 ),
inference(forward_subsumption_demodulation,[],[f4460,f2357]) ).
fof(f4460,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_Nat_Opower(X0,c_0,X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X0
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) )
| ~ spl0_155 ),
inference(backward_subsumption_demodulation,[],[f2318,f4031]) ).
fof(f4475,plain,
( spl0_199
| spl0_200
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4468,f4030,f4473,f4470]) ).
fof(f4473,plain,
( spl0_200
<=> ! [X1] :
( ~ c_less(c_1,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f4468,plain,
( ! [X11,X1] :
( ~ c_less(c_1,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_155 ),
inference(forward_subsumption_demodulation,[],[f4464,f2357]) ).
fof(f4464,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_less(c_Nat_Opower(X0,c_0,X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) )
| ~ spl0_155 ),
inference(backward_subsumption_demodulation,[],[f2323,f4031]) ).
fof(f4459,plain,
( ~ spl0_198
| spl0_82
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f4454,f3697,f3625,f4456]) ).
fof(f4456,plain,
( spl0_198
<=> c_1 = c_Divides_Oop_Amod(c_1,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f3625,plain,
( spl0_82
<=> c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f4454,plain,
( c_1 != c_Divides_Oop_Amod(c_1,c_0,tc_nat)
| spl0_82
| ~ spl0_96 ),
inference(forward_demodulation,[],[f3626,f3699]) ).
fof(f3626,plain,
( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) != c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat)
| spl0_82 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f4405,plain,
( spl0_197
| ~ spl0_38
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f4360,f4227,f3399,f4402]) ).
fof(f4402,plain,
( spl0_197
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f4227,plain,
( spl0_187
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f4360,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_38
| ~ spl0_187 ),
inference(backward_demodulation,[],[f4229,f3401]) ).
fof(f4229,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f4227]) ).
fof(f4379,plain,
( spl0_196
| ~ spl0_38
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f4361,f4235,f3399,f4376]) ).
fof(f4376,plain,
( spl0_196
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f4235,plain,
( spl0_188
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f4361,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_38
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4237,f3401]) ).
fof(f4237,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f4235]) ).
fof(f4308,plain,
( spl0_195
| ~ spl0_34
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f4297,f4016,f3378,f4305]) ).
fof(f4305,plain,
( spl0_195
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f3378,plain,
( spl0_34
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f4016,plain,
( spl0_153
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f4297,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_34
| ~ spl0_153 ),
inference(backward_demodulation,[],[f4018,f3380]) ).
fof(f3380,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f4018,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f4016]) ).
fof(f4303,plain,
( spl0_194
| ~ spl0_34
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4298,f3424,f3378,f4300]) ).
fof(f4300,plain,
( spl0_194
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f3424,plain,
( spl0_43
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f4298,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_34
| ~ spl0_43 ),
inference(backward_demodulation,[],[f3426,f3380]) ).
fof(f3426,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f3424]) ).
fof(f4296,plain,
( spl0_193
| ~ spl0_96
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4291,f3828,f3697,f4293]) ).
fof(f4291,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_96
| ~ spl0_119 ),
inference(backward_demodulation,[],[f3830,f3699]) ).
fof(f4289,plain,
( spl0_192
| ~ spl0_115
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4284,f3828,f3803,f4286]) ).
fof(f3803,plain,
( spl0_115
<=> c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f4284,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_115
| ~ spl0_119 ),
inference(forward_demodulation,[],[f3805,f3830]) ).
fof(f3805,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3803]) ).
fof(f4255,plain,
spl0_191,
inference(avatar_split_clause,[],[f229,f4252]) ).
fof(f4252,plain,
( spl0_191
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f4250,plain,
~ spl0_190,
inference(avatar_split_clause,[],[f2954,f4247]) ).
fof(f2954,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f4245,plain,
spl0_189,
inference(avatar_split_clause,[],[f189,f4242]) ).
fof(f4242,plain,
( spl0_189
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f189,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f4240,plain,
( spl0_80
| spl0_77 ),
inference(avatar_split_clause,[],[f4239,f3606,f3617]) ).
fof(f3617,plain,
( spl0_80
<=> ! [X83] :
( c_0 = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f4239,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f3211,f1848]) ).
fof(f1848,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f3211,plain,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f1837]) ).
fof(f1837,axiom,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f4238,plain,
spl0_188,
inference(avatar_split_clause,[],[f3164,f4235]) ).
fof(f3164,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f2125,f2129]) ).
fof(f2125,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f4230,plain,
spl0_187,
inference(avatar_split_clause,[],[f1867,f4227]) ).
fof(f1867,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f4221,plain,
spl0_186,
inference(avatar_split_clause,[],[f166,f4218]) ).
fof(f4218,plain,
( spl0_186
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f4214,plain,
spl0_185,
inference(avatar_split_clause,[],[f142,f4211]) ).
fof(f4211,plain,
( spl0_185
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f142,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f4209,plain,
spl0_184,
inference(avatar_split_clause,[],[f224,f4206]) ).
fof(f4206,plain,
( spl0_184
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f224,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f4204,plain,
spl0_183,
inference(avatar_split_clause,[],[f131,f4201]) ).
fof(f4201,plain,
( spl0_183
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f131,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f4199,plain,
spl0_182,
inference(avatar_split_clause,[],[f215,f4196]) ).
fof(f4196,plain,
( spl0_182
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f215,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f4189,plain,
spl0_181,
inference(avatar_split_clause,[],[f244,f4186]) ).
fof(f4186,plain,
( spl0_181
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f4184,plain,
spl0_180,
inference(avatar_split_clause,[],[f180,f4181]) ).
fof(f4181,plain,
( spl0_180
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f4176,plain,
spl0_179,
inference(avatar_split_clause,[],[f186,f4173]) ).
fof(f4173,plain,
( spl0_179
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f186,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f4170,plain,
spl0_178,
inference(avatar_split_clause,[],[f1674,f4167]) ).
fof(f4167,plain,
( spl0_178
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1674,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f4165,plain,
spl0_177,
inference(avatar_split_clause,[],[f167,f4162]) ).
fof(f4162,plain,
( spl0_177
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f4160,plain,
( ~ spl0_3
| spl0_176 ),
inference(avatar_split_clause,[],[f4156,f4158,f3223]) ).
fof(f4158,plain,
( spl0_176
<=> ! [X15] : c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4156,plain,
! [X15] :
( c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_0 != c_1 ),
inference(forward_subsumption_demodulation,[],[f1976,f2089]) ).
fof(f1976,axiom,
! [X15] :
( c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_1 != c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f4155,plain,
spl0_175,
inference(avatar_split_clause,[],[f157,f4152]) ).
fof(f4152,plain,
( spl0_175
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f4150,plain,
spl0_174,
inference(avatar_split_clause,[],[f1676,f4147]) ).
fof(f4147,plain,
( spl0_174
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1676,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f4144,plain,
spl0_173,
inference(avatar_split_clause,[],[f235,f4141]) ).
fof(f4141,plain,
( spl0_173
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f4139,plain,
spl0_81,
inference(avatar_split_clause,[],[f3074,f3621]) ).
fof(f3074,plain,
! [X47] :
( ~ c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X47),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1853,f2129]) ).
fof(f1853,axiom,
! [X47] :
( ~ c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X47),tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oless__0__number__of_0) ).
fof(f4138,plain,
~ spl0_172,
inference(avatar_split_clause,[],[f2947,f4135]) ).
fof(f4135,plain,
( spl0_172
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f2947,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4122,plain,
spl0_171,
inference(avatar_split_clause,[],[f2164,f4119]) ).
fof(f4119,plain,
( spl0_171
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f2164,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f4117,plain,
spl0_170,
inference(avatar_split_clause,[],[f177,f4114]) ).
fof(f4114,plain,
( spl0_170
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f4112,plain,
spl0_169,
inference(avatar_split_clause,[],[f4107,f4109]) ).
fof(f4109,plain,
( spl0_169
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f4107,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(backward_demodulation,[],[f1486,f1464]) ).
fof(f1464,axiom,
! [X28] : c_1 = c_Nat_Opower(X28,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f1486,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f4106,plain,
spl0_168,
inference(avatar_split_clause,[],[f134,f4103]) ).
fof(f4103,plain,
( spl0_168
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f134,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f4101,plain,
spl0_167,
inference(avatar_split_clause,[],[f1681,f4098]) ).
fof(f4098,plain,
( spl0_167
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1681,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f4093,plain,
spl0_166,
inference(avatar_split_clause,[],[f241,f4090]) ).
fof(f4090,plain,
( spl0_166
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f4086,plain,
spl0_165,
inference(avatar_split_clause,[],[f212,f4083]) ).
fof(f4083,plain,
( spl0_165
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f212,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f4078,plain,
~ spl0_62,
inference(avatar_split_clause,[],[f2159,f3519]) ).
fof(f3519,plain,
( spl0_62
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f2159,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f4077,plain,
spl0_164,
inference(avatar_split_clause,[],[f1866,f4074]) ).
fof(f4074,plain,
( spl0_164
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1866,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f4071,plain,
spl0_163,
inference(avatar_split_clause,[],[f171,f4068]) ).
fof(f4068,plain,
( spl0_163
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f4065,plain,
spl0_162,
inference(avatar_split_clause,[],[f2534,f4062]) ).
fof(f4062,plain,
( spl0_162
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f2534,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f4060,plain,
~ spl0_161,
inference(avatar_split_clause,[],[f2946,f4057]) ).
fof(f4057,plain,
( spl0_161
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f2946,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4055,plain,
spl0_160,
inference(avatar_split_clause,[],[f243,f4052]) ).
fof(f4052,plain,
( spl0_160
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f4050,plain,
spl0_159,
inference(avatar_split_clause,[],[f3030,f4047]) ).
fof(f4047,plain,
( spl0_159
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f3030,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f2126,f2129]) ).
fof(f2126,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f4045,plain,
~ spl0_37,
inference(avatar_split_clause,[],[f2904,f3394]) ).
fof(f3394,plain,
( spl0_37
<=> c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2904,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__2_0) ).
fof(f4044,plain,
spl0_158,
inference(avatar_split_clause,[],[f161,f4041]) ).
fof(f4041,plain,
( spl0_158
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f4039,plain,
( spl0_157
| spl0_155 ),
inference(avatar_split_clause,[],[f4026,f4030,f4037]) ).
fof(f4037,plain,
( spl0_157
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f4026,plain,
! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_0,X1)
| ~ class_Power_Orecpower(X1) ),
inference(backward_subsumption_demodulation,[],[f2322,f2312]) ).
fof(f2312,axiom,
! [X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f2322,axiom,
! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f4035,plain,
( spl0_155
| spl0_156 ),
inference(avatar_split_clause,[],[f4027,f4033,f4030]) ).
fof(f4033,plain,
( spl0_156
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_0,c_0,X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f4027,plain,
! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_less(c_0,c_0,X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
inference(backward_subsumption_demodulation,[],[f2332,f2312]) ).
fof(f2332,axiom,
! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f4024,plain,
spl0_154,
inference(avatar_split_clause,[],[f135,f4021]) ).
fof(f4021,plain,
( spl0_154
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f135,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f4019,plain,
spl0_153,
inference(avatar_split_clause,[],[f1391,f4016]) ).
fof(f1391,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f4014,plain,
spl0_152,
inference(avatar_split_clause,[],[f160,f4011]) ).
fof(f4011,plain,
( spl0_152
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f4008,plain,
spl0_151,
inference(avatar_split_clause,[],[f155,f4005]) ).
fof(f4005,plain,
( spl0_151
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f4003,plain,
( spl0_77
| spl0_150 ),
inference(avatar_split_clause,[],[f3999,f4001,f3606]) ).
fof(f4001,plain,
( spl0_150
<=> ! [X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3999,plain,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1841,f1848]) ).
fof(f1841,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3998,plain,
spl0_149,
inference(avatar_split_clause,[],[f154,f3995]) ).
fof(f3995,plain,
( spl0_149
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3992,plain,
spl0_148,
inference(avatar_split_clause,[],[f2853,f3989]) ).
fof(f2853,axiom,
c_emptyset = c_Message_Oanalz(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__empty_0) ).
fof(f3987,plain,
spl0_147,
inference(avatar_split_clause,[],[f216,f3984]) ).
fof(f3984,plain,
( spl0_147
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f216,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3982,plain,
~ spl0_146,
inference(avatar_split_clause,[],[f1309,f3979]) ).
fof(f3979,plain,
( spl0_146
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1309,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3977,plain,
spl0_145,
inference(avatar_split_clause,[],[f148,f3974]) ).
fof(f3974,plain,
( spl0_145
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f148,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3971,plain,
spl0_144,
inference(avatar_split_clause,[],[f210,f3968]) ).
fof(f3968,plain,
( spl0_144
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3963,plain,
spl0_143,
inference(avatar_split_clause,[],[f209,f3960]) ).
fof(f3960,plain,
( spl0_143
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f209,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3958,plain,
spl0_142,
inference(avatar_split_clause,[],[f159,f3955]) ).
fof(f3955,plain,
( spl0_142
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3953,plain,
spl0_141,
inference(avatar_split_clause,[],[f139,f3950]) ).
fof(f3950,plain,
( spl0_141
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f139,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3948,plain,
spl0_140,
inference(avatar_split_clause,[],[f168,f3945]) ).
fof(f3945,plain,
( spl0_140
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3941,plain,
spl0_139,
inference(avatar_split_clause,[],[f2948,f3938]) ).
fof(f2948,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3936,plain,
spl0_138,
inference(avatar_split_clause,[],[f2106,f3933]) ).
fof(f3933,plain,
( spl0_138
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2106,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3931,plain,
spl0_137,
inference(avatar_split_clause,[],[f175,f3928]) ).
fof(f3928,plain,
( spl0_137
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3926,plain,
spl0_79,
inference(avatar_split_clause,[],[f1831,f3613]) ).
fof(f1831,axiom,
! [X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_0) ).
fof(f3925,plain,
spl0_136,
inference(avatar_split_clause,[],[f226,f3922]) ).
fof(f3922,plain,
( spl0_136
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3920,plain,
( spl0_135
| spl0_80 ),
inference(avatar_split_clause,[],[f3916,f3617,f3918]) ).
fof(f3918,plain,
( spl0_135
<=> ! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3916,plain,
! [X83,X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1845,f1848]) ).
fof(f1845,axiom,
! [X83,X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_8) ).
fof(f3915,plain,
spl0_134,
inference(avatar_split_clause,[],[f1350,f3912]) ).
fof(f1350,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3910,plain,
spl0_133,
inference(avatar_split_clause,[],[f164,f3907]) ).
fof(f3907,plain,
( spl0_133
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3905,plain,
spl0_132,
inference(avatar_split_clause,[],[f1386,f3902]) ).
fof(f3902,plain,
( spl0_132
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1386,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3899,plain,
spl0_131,
inference(avatar_split_clause,[],[f136,f3896]) ).
fof(f3896,plain,
( spl0_131
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f136,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3894,plain,
spl0_96,
inference(avatar_split_clause,[],[f3197,f3697]) ).
fof(f3197,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2016,f2544]) ).
fof(f2016,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3893,plain,
spl0_130,
inference(avatar_split_clause,[],[f239,f3890]) ).
fof(f3890,plain,
( spl0_130
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f239,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3888,plain,
spl0_129,
inference(avatar_split_clause,[],[f151,f3885]) ).
fof(f3885,plain,
( spl0_129
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f151,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3883,plain,
spl0_128,
inference(avatar_split_clause,[],[f222,f3880]) ).
fof(f3880,plain,
( spl0_128
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f222,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3878,plain,
~ spl0_69,
inference(avatar_split_clause,[],[f1250,f3555]) ).
fof(f3555,plain,
( spl0_69
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1250,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3877,plain,
spl0_127,
inference(avatar_split_clause,[],[f2528,f3874]) ).
fof(f3874,plain,
( spl0_127
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f2528,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3872,plain,
spl0_126,
inference(avatar_split_clause,[],[f1687,f3869]) ).
fof(f3869,plain,
( spl0_126
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1687,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3866,plain,
spl0_125,
inference(avatar_split_clause,[],[f2163,f3863]) ).
fof(f3863,plain,
( spl0_125
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f2163,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3861,plain,
spl0_124,
inference(avatar_split_clause,[],[f181,f3858]) ).
fof(f3858,plain,
( spl0_124
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3856,plain,
spl0_123,
inference(avatar_split_clause,[],[f228,f3853]) ).
fof(f3853,plain,
( spl0_123
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3846,plain,
spl0_122,
inference(avatar_split_clause,[],[f203,f3843]) ).
fof(f3843,plain,
( spl0_122
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f203,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3841,plain,
~ spl0_121,
inference(avatar_split_clause,[],[f2949,f3838]) ).
fof(f2949,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_na,c_Message_Omsg_OMPair(v_nb,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f3836,plain,
spl0_120,
inference(avatar_split_clause,[],[f145,f3833]) ).
fof(f3833,plain,
( spl0_120
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f145,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3831,plain,
spl0_119,
inference(avatar_split_clause,[],[f3068,f3828]) ).
fof(f3068,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f1344,f2544]) ).
fof(f1344,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3826,plain,
spl0_118,
inference(avatar_split_clause,[],[f2950,f3823]) ).
fof(f2950,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3820,plain,
spl0_79,
inference(avatar_split_clause,[],[f1847,f3613]) ).
fof(f1847,axiom,
! [X47] :
( c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_0) ).
fof(f3819,plain,
spl0_115,
inference(avatar_split_clause,[],[f3049,f3803]) ).
fof(f3049,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2064,f2544]) ).
fof(f2064,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3818,plain,
spl0_83,
inference(avatar_split_clause,[],[f3133,f3630]) ).
fof(f3133,plain,
! [X47] :
( c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X47),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1854,f2129]) ).
fof(f1854,axiom,
! [X47] :
( c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X47),tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oless__0__number__of_1) ).
fof(f3817,plain,
spl0_117,
inference(avatar_split_clause,[],[f140,f3814]) ).
fof(f3814,plain,
( spl0_117
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f140,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3812,plain,
( ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f2498,f3309,f3223]) ).
fof(f3309,plain,
( spl0_20
<=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2498,axiom,
! [X1] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3811,plain,
spl0_116,
inference(avatar_split_clause,[],[f211,f3808]) ).
fof(f3808,plain,
( spl0_116
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f211,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3806,plain,
spl0_115,
inference(avatar_split_clause,[],[f3102,f3803]) ).
fof(f3102,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2094,f2544]) ).
fof(f2094,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3801,plain,
spl0_114,
inference(avatar_split_clause,[],[f137,f3798]) ).
fof(f3798,plain,
( spl0_114
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f137,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3795,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f2732,f3459]) ).
fof(f3459,plain,
( spl0_50
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2732,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3_0) ).
fof(f3794,plain,
( spl0_77
| spl0_34 ),
inference(avatar_split_clause,[],[f3793,f3378,f3606]) ).
fof(f3793,plain,
! [X47] :
( c_0 = c_IntDef_Oint(c_0)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1851,f1848]) ).
fof(f1851,axiom,
! [X47] :
( c_0 = c_IntDef_Oint(c_Numeral_Onumber__of(X47,tc_nat))
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f3791,plain,
spl0_113,
inference(avatar_split_clause,[],[f153,f3788]) ).
fof(f3788,plain,
( spl0_113
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f153,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3786,plain,
spl0_112,
inference(avatar_split_clause,[],[f221,f3783]) ).
fof(f3783,plain,
( spl0_112
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3781,plain,
spl0_111,
inference(avatar_split_clause,[],[f1683,f3778]) ).
fof(f3778,plain,
( spl0_111
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1683,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3776,plain,
spl0_110,
inference(avatar_split_clause,[],[f2743,f3773]) ).
fof(f3773,plain,
( spl0_110
<=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2743,axiom,
c_emptyset = c_Message_OkeysFor(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__empty_0) ).
fof(f3770,plain,
spl0_109,
inference(avatar_split_clause,[],[f2567,f3767]) ).
fof(f3767,plain,
( spl0_109
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2567,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3764,plain,
spl0_108,
inference(avatar_split_clause,[],[f2303,f3761]) ).
fof(f3761,plain,
( spl0_108
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2303,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3759,plain,
spl0_19,
inference(avatar_split_clause,[],[f3758,f3304]) ).
fof(f3758,plain,
c_less(c_0,c_1,tc_nat),
inference(backward_demodulation,[],[f2343,f2344]) ).
fof(f2344,axiom,
! [X28] : c_1 = c_Nat_Opower(X28,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f2343,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3757,plain,
spl0_107,
inference(avatar_split_clause,[],[f1682,f3754]) ).
fof(f3754,plain,
( spl0_107
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1682,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3752,plain,
spl0_106,
inference(avatar_split_clause,[],[f146,f3749]) ).
fof(f3749,plain,
( spl0_106
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f146,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3747,plain,
spl0_105,
inference(avatar_split_clause,[],[f1675,f3744]) ).
fof(f3744,plain,
( spl0_105
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1675,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3742,plain,
spl0_104,
inference(avatar_split_clause,[],[f218,f3739]) ).
fof(f3739,plain,
( spl0_104
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f218,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3737,plain,
spl0_103,
inference(avatar_split_clause,[],[f178,f3734]) ).
fof(f3734,plain,
( spl0_103
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3732,plain,
spl0_102,
inference(avatar_split_clause,[],[f138,f3729]) ).
fof(f3729,plain,
( spl0_102
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f138,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3727,plain,
spl0_101,
inference(avatar_split_clause,[],[f198,f3724]) ).
fof(f3724,plain,
( spl0_101
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f198,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3722,plain,
spl0_100,
inference(avatar_split_clause,[],[f162,f3719]) ).
fof(f3719,plain,
( spl0_100
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3717,plain,
spl0_99,
inference(avatar_split_clause,[],[f3166,f3714]) ).
fof(f3714,plain,
( spl0_99
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f3166,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin),
inference(definition_unfolding,[],[f2134,f2113]) ).
fof(f2113,axiom,
! [X11] : c_Numeral_Obin__pred(X11) = c_Numeral_Obin__add(X11,c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).
fof(f2134,axiom,
c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).
fof(f3712,plain,
spl0_98,
inference(avatar_split_clause,[],[f1255,f3709]) ).
fof(f3709,plain,
( spl0_98
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1255,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3707,plain,
spl0_80,
inference(avatar_split_clause,[],[f1849,f3617]) ).
fof(f1849,axiom,
! [X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f3706,plain,
spl0_97,
inference(avatar_split_clause,[],[f208,f3703]) ).
fof(f3703,plain,
( spl0_97
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f208,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3700,plain,
( spl0_77
| spl0_96 ),
inference(avatar_split_clause,[],[f3695,f3697,f3606]) ).
fof(f3695,plain,
! [X47] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f3081,f1848]) ).
fof(f3081,plain,
! [X47] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1822,f2544]) ).
fof(f1822,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Suc(c_Numeral_Onumber__of(X47,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f3694,plain,
spl0_95,
inference(avatar_split_clause,[],[f217,f3691]) ).
fof(f3691,plain,
( spl0_95
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f217,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3689,plain,
~ spl0_94,
inference(avatar_split_clause,[],[f2951,f3686]) ).
fof(f2951,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3684,plain,
spl0_80,
inference(avatar_split_clause,[],[f1833,f3617]) ).
fof(f1833,axiom,
! [X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_2) ).
fof(f3683,plain,
spl0_93,
inference(avatar_split_clause,[],[f2908,f3680]) ).
fof(f3680,plain,
( spl0_93
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2908,axiom,
c_0 = c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Osize__2_0) ).
fof(f3678,plain,
spl0_92,
inference(avatar_split_clause,[],[f236,f3675]) ).
fof(f3675,plain,
( spl0_92
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3673,plain,
spl0_91,
inference(avatar_split_clause,[],[f170,f3670]) ).
fof(f3670,plain,
( spl0_91
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3668,plain,
spl0_90,
inference(avatar_split_clause,[],[f130,f3665]) ).
fof(f3665,plain,
( spl0_90
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f130,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3663,plain,
spl0_89,
inference(avatar_split_clause,[],[f2770,f3660]) ).
fof(f2770,axiom,
c_emptyset = c_Message_Oparts(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).
fof(f3658,plain,
spl0_88,
inference(avatar_split_clause,[],[f132,f3655]) ).
fof(f3655,plain,
( spl0_88
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f132,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3652,plain,
spl0_87,
inference(avatar_split_clause,[],[f150,f3649]) ).
fof(f3649,plain,
( spl0_87
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f150,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3646,plain,
spl0_86,
inference(avatar_split_clause,[],[f195,f3643]) ).
fof(f3643,plain,
( spl0_86
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3641,plain,
~ spl0_85,
inference(avatar_split_clause,[],[f2957,f3638]) ).
fof(f3638,plain,
( spl0_85
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2957,axiom,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3636,plain,
( spl0_77
| spl0_84 ),
inference(avatar_split_clause,[],[f3597,f3634,f3606]) ).
fof(f3634,plain,
( spl0_84
<=> ! [X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_plus(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f3597,plain,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_plus(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat) ),
inference(backward_subsumption_demodulation,[],[f1825,f1848]) ).
fof(f1825,axiom,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_plus(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oadd__nat__number__of_1) ).
fof(f3632,plain,
( spl0_77
| spl0_83 ),
inference(avatar_split_clause,[],[f3604,f3630,f3606]) ).
fof(f3604,plain,
! [X83,X47] :
( c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f3098,f1848]) ).
fof(f3098,plain,
! [X83,X47] :
( c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1858,f2129]) ).
fof(f1858,axiom,
! [X83,X47] :
( c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oless__nat__number__of_3) ).
fof(f3628,plain,
( spl0_77
| spl0_82 ),
inference(avatar_split_clause,[],[f3603,f3625,f3606]) ).
fof(f3603,plain,
! [X83] :
( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f3053,f1848]) ).
fof(f3053,plain,
! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f1871,f2544,f2544]) ).
fof(f1871,axiom,
! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Suc(c_0) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oone__mod__nat__number__of_0) ).
fof(f3623,plain,
( spl0_77
| spl0_81 ),
inference(avatar_split_clause,[],[f3602,f3621,f3606]) ).
fof(f3602,plain,
! [X83,X47] :
( ~ c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f3002,f1848]) ).
fof(f3002,plain,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1855,f2129]) ).
fof(f1855,axiom,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X83),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oless__nat__number__of_0) ).
fof(f3619,plain,
( spl0_77
| spl0_80 ),
inference(avatar_split_clause,[],[f3599,f3617,f3606]) ).
fof(f3599,plain,
! [X83,X47] :
( c_0 = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f1843,f1848]) ).
fof(f1843,axiom,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3615,plain,
( spl0_77
| spl0_79 ),
inference(avatar_split_clause,[],[f3598,f3613,f3606]) ).
fof(f3598,plain,
! [X83,X47] :
( c_0 != c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f1834,f1848]) ).
fof(f1834,axiom,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_0) ).
fof(f3611,plain,
( spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f3601,f3609,f3606]) ).
fof(f3609,plain,
( spl0_78
<=> ! [X1] :
( c_0 = c_NatArith_Oof__nat(c_0,X1)
| ~ class_Numeral_Onumber__ring(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f3601,plain,
! [X1,X47] :
( c_0 = c_NatArith_Oof__nat(c_0,X1)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ class_Numeral_Onumber__ring(X1) ),
inference(backward_subsumption_demodulation,[],[f1868,f1848]) ).
fof(f1868,axiom,
! [X1,X47] :
( ~ class_Numeral_Onumber__ring(X1)
| c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X47,tc_nat),X1)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f3595,plain,
spl0_76,
inference(avatar_split_clause,[],[f1685,f3592]) ).
fof(f3592,plain,
( spl0_76
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1685,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3590,plain,
spl0_75,
inference(avatar_split_clause,[],[f214,f3587]) ).
fof(f3587,plain,
( spl0_75
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f214,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3583,plain,
~ spl0_74,
inference(avatar_split_clause,[],[f2772,f3580]) ).
fof(f3580,plain,
( spl0_74
<=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2772,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0) ).
fof(f3578,plain,
spl0_73,
inference(avatar_split_clause,[],[f133,f3575]) ).
fof(f3575,plain,
( spl0_73
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f133,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3573,plain,
spl0_72,
inference(avatar_split_clause,[],[f143,f3570]) ).
fof(f3570,plain,
( spl0_72
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f143,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3568,plain,
spl0_71,
inference(avatar_split_clause,[],[f169,f3565]) ).
fof(f3565,plain,
( spl0_71
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3563,plain,
spl0_70,
inference(avatar_split_clause,[],[f2155,f3560]) ).
fof(f3560,plain,
( spl0_70
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f2155,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3558,plain,
~ spl0_69,
inference(avatar_split_clause,[],[f1251,f3555]) ).
fof(f1251,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3553,plain,
spl0_68,
inference(avatar_split_clause,[],[f242,f3550]) ).
fof(f3550,plain,
( spl0_68
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3548,plain,
spl0_67,
inference(avatar_split_clause,[],[f219,f3545]) ).
fof(f3545,plain,
( spl0_67
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f219,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3543,plain,
spl0_66,
inference(avatar_split_clause,[],[f165,f3540]) ).
fof(f3540,plain,
( spl0_66
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3538,plain,
spl0_65,
inference(avatar_split_clause,[],[f225,f3535]) ).
fof(f3535,plain,
( spl0_65
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3532,plain,
spl0_64,
inference(avatar_split_clause,[],[f194,f3529]) ).
fof(f3529,plain,
( spl0_64
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3527,plain,
spl0_63,
inference(avatar_split_clause,[],[f1678,f3524]) ).
fof(f3524,plain,
( spl0_63
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1678,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3522,plain,
~ spl0_62,
inference(avatar_split_clause,[],[f2160,f3519]) ).
fof(f2160,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3517,plain,
spl0_61,
inference(avatar_split_clause,[],[f1184,f3514]) ).
fof(f3514,plain,
( spl0_61
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1184,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3512,plain,
spl0_60,
inference(avatar_split_clause,[],[f149,f3509]) ).
fof(f3509,plain,
( spl0_60
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f149,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3507,plain,
spl0_59,
inference(avatar_split_clause,[],[f172,f3504]) ).
fof(f3504,plain,
( spl0_59
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3502,plain,
spl0_58,
inference(avatar_split_clause,[],[f1677,f3499]) ).
fof(f3499,plain,
( spl0_58
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1677,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3497,plain,
spl0_57,
inference(avatar_split_clause,[],[f2773,f3494]) ).
fof(f2773,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0) ).
fof(f3492,plain,
spl0_56,
inference(avatar_split_clause,[],[f126,f3489]) ).
fof(f3489,plain,
( spl0_56
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3487,plain,
spl0_55,
inference(avatar_split_clause,[],[f227,f3484]) ).
fof(f3484,plain,
( spl0_55
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3482,plain,
spl0_54,
inference(avatar_split_clause,[],[f2739,f3479]) ).
fof(f3479,plain,
( spl0_54
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f2739,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__3_0) ).
fof(f3477,plain,
spl0_53,
inference(avatar_split_clause,[],[f231,f3474]) ).
fof(f3474,plain,
( spl0_53
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3472,plain,
spl0_52,
inference(avatar_split_clause,[],[f223,f3469]) ).
fof(f3469,plain,
( spl0_52
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f223,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3467,plain,
spl0_51,
inference(avatar_split_clause,[],[f182,f3464]) ).
fof(f3464,plain,
( spl0_51
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f182,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3462,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f2733,f3459]) ).
fof(f2733,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4_0) ).
fof(f3457,plain,
spl0_49,
inference(avatar_split_clause,[],[f184,f3454]) ).
fof(f3454,plain,
( spl0_49
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f184,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3452,plain,
spl0_48,
inference(avatar_split_clause,[],[f3202,f3449]) ).
fof(f3449,plain,
( spl0_48
<=> c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3202,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f2133,f2113]) ).
fof(f2133,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3447,plain,
spl0_47,
inference(avatar_split_clause,[],[f1686,f3444]) ).
fof(f3444,plain,
( spl0_47
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1686,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f3442,plain,
spl0_46,
inference(avatar_split_clause,[],[f1684,f3439]) ).
fof(f3439,plain,
( spl0_46
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1684,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3437,plain,
spl0_45,
inference(avatar_split_clause,[],[f220,f3434]) ).
fof(f3434,plain,
( spl0_45
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f220,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3432,plain,
spl0_44,
inference(avatar_split_clause,[],[f1371,f3429]) ).
fof(f3429,plain,
( spl0_44
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1371,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3427,plain,
spl0_43,
inference(avatar_split_clause,[],[f1377,f3424]) ).
fof(f1377,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3422,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f2090,f3419]) ).
fof(f3419,plain,
( spl0_42
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2090,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3417,plain,
spl0_41,
inference(avatar_split_clause,[],[f2907,f3414]) ).
fof(f3414,plain,
( spl0_41
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2907,axiom,
c_0 = c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Osize__1_0) ).
fof(f3412,plain,
spl0_40,
inference(avatar_split_clause,[],[f147,f3409]) ).
fof(f3409,plain,
( spl0_40
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f147,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3407,plain,
spl0_39,
inference(avatar_split_clause,[],[f213,f3404]) ).
fof(f3404,plain,
( spl0_39
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f213,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3402,plain,
spl0_38,
inference(avatar_split_clause,[],[f2156,f3399]) ).
fof(f2156,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3397,plain,
~ spl0_37,
inference(avatar_split_clause,[],[f2903,f3394]) ).
fof(f2903,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__1_0) ).
fof(f3391,plain,
spl0_36,
inference(avatar_split_clause,[],[f124,f3388]) ).
fof(f3388,plain,
( spl0_36
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3386,plain,
spl0_35,
inference(avatar_split_clause,[],[f173,f3383]) ).
fof(f3383,plain,
( spl0_35
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3381,plain,
spl0_34,
inference(avatar_split_clause,[],[f1374,f3378]) ).
fof(f1374,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3376,plain,
spl0_33,
inference(avatar_split_clause,[],[f2290,f3373]) ).
fof(f3373,plain,
( spl0_33
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2290,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3371,plain,
spl0_32,
inference(avatar_split_clause,[],[f2033,f3368]) ).
fof(f3368,plain,
( spl0_32
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2033,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_2) ).
fof(f3366,plain,
spl0_31,
inference(avatar_split_clause,[],[f1688,f3363]) ).
fof(f3363,plain,
( spl0_31
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1688,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3361,plain,
spl0_30,
inference(avatar_split_clause,[],[f183,f3358]) ).
fof(f3358,plain,
( spl0_30
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3356,plain,
spl0_29,
inference(avatar_split_clause,[],[f238,f3353]) ).
fof(f3353,plain,
( spl0_29
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f238,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3351,plain,
spl0_28,
inference(avatar_split_clause,[],[f2955,f3348]) ).
fof(f2955,axiom,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3344,plain,
spl0_27,
inference(avatar_split_clause,[],[f3137,f3341]) ).
fof(f3341,plain,
( spl0_27
<=> c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f3137,plain,
c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f2047,f2544]) ).
fof(f2047,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).
fof(f3339,plain,
spl0_26,
inference(avatar_split_clause,[],[f174,f3336]) ).
fof(f3336,plain,
( spl0_26
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3334,plain,
spl0_25,
inference(avatar_split_clause,[],[f232,f3331]) ).
fof(f3331,plain,
( spl0_25
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3329,plain,
spl0_24,
inference(avatar_split_clause,[],[f2953,f3326]) ).
fof(f2953,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3324,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f3317,f3322,f3319]) ).
fof(f3319,plain,
( spl0_22
<=> ! [X11] : c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3322,plain,
( spl0_23
<=> ! [X18,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Nat_Opower(X18,c_0,X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3317,plain,
! [X11,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 != c_Nat_Opower(X18,c_0,X1)
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
inference(backward_subsumption_demodulation,[],[f2314,f2089]) ).
fof(f2314,axiom,
! [X11,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Nat_Opower(X18,c_Numeral_Onumber__of(X11,tc_nat),X1)
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__eq__0__iff__number__of_1) ).
fof(f3316,plain,
spl0_21,
inference(avatar_split_clause,[],[f2737,f3313]) ).
fof(f3313,plain,
( spl0_21
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f2737,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__1_0) ).
fof(f3311,plain,
( spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2395,f3223,f3309]) ).
fof(f2395,axiom,
! [X1] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3307,plain,
spl0_19,
inference(avatar_split_clause,[],[f2049,f3304]) ).
fof(f2049,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3302,plain,
spl0_18,
inference(avatar_split_clause,[],[f176,f3299]) ).
fof(f3299,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3297,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f2629,f3294]) ).
fof(f3294,plain,
( spl0_17
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f2629,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3292,plain,
spl0_16,
inference(avatar_split_clause,[],[f234,f3289]) ).
fof(f3289,plain,
( spl0_16
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3287,plain,
spl0_15,
inference(avatar_split_clause,[],[f2043,f3284]) ).
fof(f3284,plain,
( spl0_15
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2043,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3282,plain,
spl0_14,
inference(avatar_split_clause,[],[f144,f3279]) ).
fof(f3279,plain,
( spl0_14
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f144,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3276,plain,
spl0_13,
inference(avatar_split_clause,[],[f158,f3273]) ).
fof(f3273,plain,
( spl0_13
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3271,plain,
spl0_12,
inference(avatar_split_clause,[],[f1254,f3268]) ).
fof(f3268,plain,
( spl0_12
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1254,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3266,plain,
spl0_11,
inference(avatar_split_clause,[],[f1680,f3263]) ).
fof(f3263,plain,
( spl0_11
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1680,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3261,plain,
spl0_10,
inference(avatar_split_clause,[],[f1679,f3258]) ).
fof(f3258,plain,
( spl0_10
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1679,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3256,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f2956,f3253]) ).
fof(f3253,plain,
( spl0_9
<=> v_K = c_Public_OshrK(v_Aa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2956,axiom,
v_K != c_Public_OshrK(v_Aa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3251,plain,
spl0_8,
inference(avatar_split_clause,[],[f1673,f3248]) ).
fof(f3248,plain,
( spl0_8
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1673,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3246,plain,
spl0_7,
inference(avatar_split_clause,[],[f2105,f3243]) ).
fof(f3243,plain,
( spl0_7
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2105,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3241,plain,
spl0_6,
inference(avatar_split_clause,[],[f2952,f3238]) ).
fof(f2952,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3236,plain,
spl0_5,
inference(avatar_split_clause,[],[f233,f3233]) ).
fof(f3233,plain,
( spl0_5
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3231,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f2310,f3228]) ).
fof(f3228,plain,
( spl0_4
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2310,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3226,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f1370,f3223]) ).
fof(f1370,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3221,plain,
spl0_2,
inference(avatar_split_clause,[],[f156,f3218]) ).
fof(f3218,plain,
( spl0_2
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3216,plain,
spl0_1,
inference(avatar_split_clause,[],[f230,f3213]) ).
fof(f3213,plain,
( spl0_1
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV343-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:18:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.07/0.59 % (4601)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.07/0.59 % (4592)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.07/0.60 % (4594)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.07/0.60 % (4585)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.07/0.61 % (4584)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.07/0.61 % (4587)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.07/0.61 % (4599)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.07/0.61 % (4582)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.07/0.61 % (4586)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.07/0.62 % (4603)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.07/0.62 % (4607)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.07/0.62 % (4606)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.07/0.63 % (4581)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.07/0.63 % (4602)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 1.07/0.63 % (4580)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.07/0.63 % (4591)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.07/0.64 % (4604)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.07/0.64 % (4583)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.07/0.64 % (4587)Instruction limit reached!
% 1.07/0.64 % (4587)------------------------------
% 1.07/0.64 % (4587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.64 % (4587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.64 % (4587)Termination reason: Unknown
% 1.07/0.64 % (4587)Termination phase: Function definition elimination
% 1.07/0.64
% 1.07/0.64 % (4587)Memory used [KB]: 3837
% 1.07/0.64 % (4587)Time elapsed: 0.009 s
% 1.07/0.64 % (4587)Instructions burned: 8 (million)
% 1.07/0.64 % (4587)------------------------------
% 1.07/0.64 % (4587)------------------------------
% 1.07/0.64 % (4600)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.07/0.64 % (4596)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.07/0.64 % (4589)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.07/0.64 % (4595)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.07/0.64 % (4593)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.07/0.65 % (4588)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.07/0.65 % (4588)Instruction limit reached!
% 1.07/0.65 % (4588)------------------------------
% 1.07/0.65 % (4588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.65 % (4588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.65 % (4588)Termination reason: Unknown
% 1.07/0.65 % (4588)Termination phase: shuffling
% 1.07/0.65
% 1.07/0.65 % (4588)Memory used [KB]: 3454
% 1.07/0.65 % (4588)Time elapsed: 0.003 s
% 1.07/0.65 % (4588)Instructions burned: 2 (million)
% 1.07/0.65 % (4588)------------------------------
% 1.07/0.65 % (4588)------------------------------
% 1.07/0.65 % (4590)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.07/0.65 % (4597)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.07/0.65 % (4609)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.07/0.65 % (4605)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.07/0.65 % (4608)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.07/0.66 % (4598)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.83/0.69 % (4582)Instruction limit reached!
% 1.83/0.69 % (4582)------------------------------
% 1.83/0.69 % (4582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (4582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69 % (4582)Termination reason: Unknown
% 1.83/0.69 % (4582)Termination phase: Property scanning
% 1.83/0.69
% 1.83/0.69 % (4582)Memory used [KB]: 3965
% 1.83/0.69 % (4582)Time elapsed: 0.023 s
% 1.83/0.69 % (4582)Instructions burned: 38 (million)
% 1.83/0.69 % (4582)------------------------------
% 1.83/0.69 % (4582)------------------------------
% 1.83/0.69 % (4584)Instruction limit reached!
% 1.83/0.69 % (4584)------------------------------
% 1.83/0.69 % (4584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (4584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69 % (4584)Termination reason: Unknown
% 1.83/0.69 % (4584)Termination phase: Property scanning
% 1.83/0.69
% 1.83/0.69 % (4584)Memory used [KB]: 3965
% 1.83/0.69 % (4584)Time elapsed: 0.026 s
% 1.83/0.69 % (4584)Instructions burned: 51 (million)
% 1.83/0.69 % (4584)------------------------------
% 1.83/0.69 % (4584)------------------------------
% 1.83/0.69 % (4585)Instruction limit reached!
% 1.83/0.69 % (4585)------------------------------
% 1.83/0.69 % (4585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (4585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69 % (4585)Termination reason: Unknown
% 1.83/0.69 % (4585)Termination phase: Saturation
% 1.83/0.69
% 1.83/0.69 % (4585)Memory used [KB]: 8571
% 1.83/0.69 % (4585)Time elapsed: 0.035 s
% 1.83/0.69 % (4585)Instructions burned: 49 (million)
% 1.83/0.69 % (4585)------------------------------
% 1.83/0.69 % (4585)------------------------------
% 1.83/0.70 % (4586)Instruction limit reached!
% 1.83/0.70 % (4586)------------------------------
% 1.83/0.70 % (4586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70 % (4586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70 % (4586)Termination reason: Unknown
% 1.83/0.70 % (4586)Termination phase: Finite model building preprocessing
% 1.83/0.70
% 1.83/0.70 % (4586)Memory used [KB]: 4477
% 1.83/0.70 % (4586)Time elapsed: 0.026 s
% 1.83/0.70 % (4586)Instructions burned: 52 (million)
% 1.83/0.70 % (4586)------------------------------
% 1.83/0.70 % (4586)------------------------------
% 1.83/0.71 % (4594)Instruction limit reached!
% 1.83/0.71 % (4594)------------------------------
% 1.83/0.71 % (4594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.71 % (4594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.71 % (4594)Termination reason: Unknown
% 1.83/0.71 % (4594)Termination phase: Saturation
% 1.83/0.71
% 1.83/0.71 % (4594)Memory used [KB]: 10874
% 1.83/0.71 % (4594)Time elapsed: 0.047 s
% 1.83/0.71 % (4594)Instructions burned: 69 (million)
% 1.83/0.71 % (4594)------------------------------
% 1.83/0.71 % (4594)------------------------------
% 2.10/0.72 % (4583)Instruction limit reached!
% 2.10/0.72 % (4583)------------------------------
% 2.10/0.72 % (4583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.72 % (4583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.72 % (4583)Termination reason: Unknown
% 2.10/0.72 % (4583)Termination phase: Saturation
% 2.10/0.72
% 2.10/0.72 % (4583)Memory used [KB]: 8955
% 2.10/0.72 % (4583)Time elapsed: 0.029 s
% 2.10/0.72 % (4583)Instructions burned: 51 (million)
% 2.10/0.72 % (4583)------------------------------
% 2.10/0.72 % (4583)------------------------------
% 2.10/0.72 % (4581)Instruction limit reached!
% 2.10/0.72 % (4581)------------------------------
% 2.10/0.72 % (4581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.72 % (4581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.72 % (4581)Termination reason: Unknown
% 2.10/0.72 % (4581)Termination phase: Saturation
% 2.10/0.72
% 2.10/0.72 % (4581)Memory used [KB]: 8955
% 2.10/0.72 % (4581)Time elapsed: 0.028 s
% 2.10/0.72 % (4581)Instructions burned: 50 (million)
% 2.10/0.72 % (4581)------------------------------
% 2.10/0.72 % (4581)------------------------------
% 2.10/0.73 % (4589)Instruction limit reached!
% 2.10/0.73 % (4589)------------------------------
% 2.10/0.73 % (4589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.73 % (4589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.73 % (4589)Termination reason: Unknown
% 2.10/0.73 % (4589)Termination phase: Saturation
% 2.10/0.73
% 2.10/0.73 % (4589)Memory used [KB]: 4477
% 2.10/0.73 % (4589)Time elapsed: 0.028 s
% 2.10/0.73 % (4589)Instructions burned: 51 (million)
% 2.10/0.73 % (4589)------------------------------
% 2.10/0.73 % (4589)------------------------------
% 2.10/0.73 % (4590)Instruction limit reached!
% 2.10/0.73 % (4590)------------------------------
% 2.10/0.73 % (4590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.73 % (4590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.73 % (4590)Termination reason: Unknown
% 2.10/0.73 % (4590)Termination phase: Saturation
% 2.10/0.73
% 2.10/0.73 % (4590)Memory used [KB]: 8699
% 2.10/0.73 % (4590)Time elapsed: 0.026 s
% 2.10/0.73 % (4590)Instructions burned: 50 (million)
% 2.10/0.73 % (4590)------------------------------
% 2.10/0.73 % (4590)------------------------------
% 2.10/0.73 % (4597)Instruction limit reached!
% 2.10/0.73 % (4597)------------------------------
% 2.10/0.73 % (4597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.73 % (4597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.73 % (4597)Termination reason: Unknown
% 2.10/0.73 % (4597)Termination phase: Blocked clause elimination
% 2.10/0.73
% 2.10/0.73 % (4597)Memory used [KB]: 4477
% 2.10/0.73 % (4597)Time elapsed: 0.031 s
% 2.10/0.73 % (4597)Instructions burned: 59 (million)
% 2.10/0.73 % (4597)------------------------------
% 2.10/0.73 % (4597)------------------------------
% 2.27/0.76 % (4606)Instruction limit reached!
% 2.27/0.76 % (4606)------------------------------
% 2.27/0.76 % (4606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.76 % (4606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.76 % (4606)Termination reason: Unknown
% 2.27/0.76 % (4606)Termination phase: Saturation
% 2.27/0.76
% 2.27/0.76 % (4606)Memory used [KB]: 10874
% 2.27/0.76 % (4606)Time elapsed: 0.085 s
% 2.27/0.76 % (4606)Instructions burned: 68 (million)
% 2.27/0.76 % (4606)------------------------------
% 2.27/0.76 % (4606)------------------------------
% 2.27/0.76 % (4599)Instruction limit reached!
% 2.27/0.76 % (4599)------------------------------
% 2.27/0.76 % (4599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.78 % (4611)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.27/0.78 % (4592)Instruction limit reached!
% 2.27/0.78 % (4592)------------------------------
% 2.27/0.78 % (4592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.78 % (4599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.78 % (4599)Termination reason: Unknown
% 2.27/0.78 % (4599)Termination phase: Saturation
% 2.27/0.78
% 2.27/0.78 % (4599)Memory used [KB]: 4861
% 2.27/0.78 % (4599)Time elapsed: 0.072 s
% 2.27/0.78 % (4599)Instructions burned: 100 (million)
% 2.27/0.78 % (4599)------------------------------
% 2.27/0.78 % (4599)------------------------------
% 2.27/0.78 % (4592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.78 % (4592)Termination reason: Unknown
% 2.27/0.78 % (4592)Termination phase: Saturation
% 2.27/0.78
% 2.27/0.78 % (4592)Memory used [KB]: 9850
% 2.27/0.78 % (4592)Time elapsed: 0.081 s
% 2.27/0.78 % (4592)Instructions burned: 101 (million)
% 2.27/0.78 % (4592)------------------------------
% 2.27/0.78 % (4592)------------------------------
% 2.27/0.78 % (4595)Instruction limit reached!
% 2.27/0.78 % (4595)------------------------------
% 2.27/0.78 % (4595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.78 % (4595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.78 % (4595)Termination reason: Unknown
% 2.27/0.78 % (4595)Termination phase: Saturation
% 2.27/0.78
% 2.27/0.78 % (4595)Memory used [KB]: 4605
% 2.27/0.78 % (4595)Time elapsed: 0.038 s
% 2.27/0.78 % (4595)Instructions burned: 75 (million)
% 2.27/0.78 % (4595)------------------------------
% 2.27/0.78 % (4595)------------------------------
% 2.27/0.79 % (4610)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.65/0.82 % (4593)Instruction limit reached!
% 2.65/0.82 % (4593)------------------------------
% 2.65/0.82 % (4593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.82 % (4593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.82 % (4593)Termination reason: Unknown
% 2.65/0.82 % (4593)Termination phase: Saturation
% 2.65/0.82
% 2.65/0.82 % (4593)Memory used [KB]: 9594
% 2.65/0.82 % (4593)Time elapsed: 0.055 s
% 2.65/0.82 % (4593)Instructions burned: 100 (million)
% 2.65/0.82 % (4593)------------------------------
% 2.65/0.82 % (4593)------------------------------
% 2.65/0.82 % (4614)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.65/0.83 % (4613)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.65/0.83 % (4596)Instruction limit reached!
% 2.65/0.83 % (4596)------------------------------
% 2.65/0.83 % (4596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.83 % (4596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.83 % (4596)Termination reason: Unknown
% 2.65/0.83 % (4596)Termination phase: Saturation
% 2.65/0.83
% 2.65/0.83 % (4596)Memory used [KB]: 9083
% 2.65/0.83 % (4596)Time elapsed: 0.300 s
% 2.65/0.83 % (4596)Instructions burned: 100 (million)
% 2.65/0.83 % (4596)------------------------------
% 2.65/0.83 % (4596)------------------------------
% 2.65/0.84 % (4612)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.65/0.85 % (4615)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.65/0.85 % (4591)Instruction limit reached!
% 2.65/0.85 % (4591)------------------------------
% 2.65/0.85 % (4591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.85 % (4591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.85 % (4591)Termination reason: Unknown
% 2.65/0.85 % (4591)Termination phase: Saturation
% 2.65/0.85
% 2.65/0.85 % (4591)Memory used [KB]: 9722
% 2.65/0.85 % (4591)Time elapsed: 0.121 s
% 2.65/0.85 % (4591)Instructions burned: 101 (million)
% 2.65/0.85 % (4591)------------------------------
% 2.65/0.85 % (4591)------------------------------
% 2.65/0.86 % (4621)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.65/0.86 % (4618)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.65/0.87 % (4598)Instruction limit reached!
% 2.65/0.87 % (4598)------------------------------
% 2.65/0.87 % (4598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.87 % (4598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.87 % (4598)Termination reason: Unknown
% 2.65/0.87 % (4598)Termination phase: Saturation
% 2.65/0.87
% 2.65/0.87 % (4598)Memory used [KB]: 9850
% 2.65/0.87 % (4598)Time elapsed: 0.060 s
% 2.65/0.87 % (4598)Instructions burned: 100 (million)
% 2.65/0.87 % (4598)------------------------------
% 2.65/0.87 % (4598)------------------------------
% 2.65/0.87 % (4620)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.65/0.87 % (4601)Instruction limit reached!
% 2.65/0.87 % (4601)------------------------------
% 2.65/0.87 % (4601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.87 % (4601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.87 % (4601)Termination reason: Unknown
% 2.65/0.87 % (4601)Termination phase: Saturation
% 2.65/0.87
% 2.65/0.87 % (4601)Memory used [KB]: 10234
% 2.65/0.87 % (4601)Time elapsed: 0.093 s
% 2.65/0.87 % (4601)Instructions burned: 138 (million)
% 2.65/0.87 % (4601)------------------------------
% 2.65/0.87 % (4601)------------------------------
% 2.89/0.88 % (4616)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.89/0.89 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.89/0.89 % (4619)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.89/0.89 % (4617)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.89/0.90 % (4625)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.89/0.92 % (4623)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.89/0.92 % (4624)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.89/0.94 % (4622)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 2.89/0.95 % (4600)Instruction limit reached!
% 2.89/0.95 % (4600)------------------------------
% 2.89/0.95 % (4600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.95 % (4600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.95 % (4600)Termination reason: Unknown
% 2.89/0.95 % (4600)Termination phase: Saturation
% 2.89/0.95
% 2.89/0.95 % (4600)Memory used [KB]: 10362
% 2.89/0.95 % (4600)Time elapsed: 0.092 s
% 2.89/0.95 % (4600)Instructions burned: 177 (million)
% 2.89/0.95 % (4600)------------------------------
% 2.89/0.95 % (4600)------------------------------
% 2.89/0.95 % (4626)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.10/0.96 % (4607)Instruction limit reached!
% 3.10/0.96 % (4607)------------------------------
% 3.10/0.96 % (4607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.97 % (4627)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.10/0.97 % (4607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.97 % (4607)Termination reason: Unknown
% 3.10/0.97 % (4607)Termination phase: Saturation
% 3.10/0.97
% 3.10/0.97 % (4607)Memory used [KB]: 6012
% 3.10/0.97 % (4607)Time elapsed: 0.453 s
% 3.10/0.97 % (4607)Instructions burned: 177 (million)
% 3.10/0.97 % (4607)------------------------------
% 3.10/0.97 % (4607)------------------------------
% 3.15/0.98 % (4612)Instruction limit reached!
% 3.15/0.98 % (4612)------------------------------
% 3.15/0.98 % (4612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.98 % (4612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.98 % (4612)Termination reason: Unknown
% 3.15/0.98 % (4612)Termination phase: Saturation
% 3.15/0.98
% 3.15/0.98 % (4612)Memory used [KB]: 8827
% 3.15/0.98 % (4612)Time elapsed: 0.268 s
% 3.15/0.98 % (4612)Instructions burned: 90 (million)
% 3.15/0.98 % (4612)------------------------------
% 3.15/0.98 % (4612)------------------------------
% 3.15/1.01 % (4617)Instruction limit reached!
% 3.15/1.01 % (4617)------------------------------
% 3.15/1.01 % (4617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/1.01 % (4617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/1.01 % (4617)Termination reason: Unknown
% 3.15/1.01 % (4617)Termination phase: Saturation
% 3.15/1.01
% 3.15/1.01 % (4617)Memory used [KB]: 10874
% 3.15/1.01 % (4617)Time elapsed: 0.036 s
% 3.15/1.01 % (4617)Instructions burned: 70 (million)
% 3.15/1.01 % (4617)------------------------------
% 3.15/1.01 % (4617)------------------------------
% 3.15/1.01 % (4630)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.37/1.02 % (4620)Instruction limit reached!
% 3.37/1.02 % (4620)------------------------------
% 3.37/1.02 % (4620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/1.02 % (4620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/1.02 % (4620)Termination reason: Unknown
% 3.37/1.02 % (4620)Termination phase: Saturation
% 3.37/1.02
% 3.37/1.02 % (4620)Memory used [KB]: 9083
% 3.37/1.02 % (4620)Time elapsed: 0.247 s
% 3.37/1.02 % (4620)Instructions burned: 91 (million)
% 3.37/1.02 % (4620)------------------------------
% 3.37/1.02 % (4620)------------------------------
% 3.37/1.03 % (4628)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.37/1.04 % (4629)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.70/1.08 % (4631)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.70/1.08 % (4627)Instruction limit reached!
% 4.70/1.08 % (4627)------------------------------
% 4.70/1.08 % (4627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.70/1.09 % (4627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.70/1.09 % (4627)Termination reason: Unknown
% 4.70/1.09 % (4627)Termination phase: Saturation
% 4.70/1.09
% 4.70/1.09 % (4627)Memory used [KB]: 10746
% 4.70/1.09 % (4627)Time elapsed: 0.034 s
% 4.70/1.09 % (4627)Instructions burned: 68 (million)
% 4.70/1.09 % (4627)------------------------------
% 4.70/1.09 % (4627)------------------------------
% 4.70/1.11 % (4633)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 5.32/1.15 % (4632)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 5.32/1.15 % (4611)Instruction limit reached!
% 5.32/1.15 % (4611)------------------------------
% 5.32/1.15 % (4611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.32/1.15 % (4611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.32/1.15 % (4611)Termination reason: Unknown
% 5.32/1.15 % (4611)Termination phase: Saturation
% 5.32/1.15
% 5.32/1.15 % (4611)Memory used [KB]: 6396
% 5.32/1.15 % (4611)Time elapsed: 0.468 s
% 5.32/1.15 % (4611)Instructions burned: 211 (million)
% 5.32/1.15 % (4611)------------------------------
% 5.32/1.15 % (4611)------------------------------
% 5.32/1.16 % (4634)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.32/1.16 % (4635)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.82/1.20 % (4636)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.45/1.30 % (4637)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 6.45/1.30 % (4632)Instruction limit reached!
% 6.45/1.30 % (4632)------------------------------
% 6.45/1.30 % (4632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.68/1.32 % (4632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.68/1.32 % (4632)Termination reason: Unknown
% 6.68/1.32 % (4632)Termination phase: Saturation
% 6.68/1.32
% 6.68/1.32 % (4632)Memory used [KB]: 8827
% 6.68/1.32 % (4632)Time elapsed: 0.254 s
% 6.68/1.32 % (4632)Instructions burned: 90 (million)
% 6.68/1.32 % (4632)------------------------------
% 6.68/1.32 % (4632)------------------------------
% 6.88/1.34 % (4609)Instruction limit reached!
% 6.88/1.34 % (4609)------------------------------
% 6.88/1.34 % (4609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.88/1.34 % (4609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.88/1.34 % (4609)Termination reason: Unknown
% 6.88/1.34 % (4609)Termination phase: Saturation
% 6.88/1.34
% 6.88/1.34 % (4609)Memory used [KB]: 12665
% 6.88/1.34 % (4609)Time elapsed: 0.751 s
% 6.88/1.34 % (4609)Instructions burned: 356 (million)
% 6.88/1.34 % (4609)------------------------------
% 6.88/1.34 % (4609)------------------------------
% 6.88/1.42 % (4603)Instruction limit reached!
% 6.88/1.42 % (4603)------------------------------
% 6.88/1.42 % (4603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.88/1.42 % (4603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.88/1.42 % (4603)Termination reason: Unknown
% 6.88/1.42 % (4603)Termination phase: Saturation
% 6.88/1.42
% 6.88/1.42 % (4603)Memory used [KB]: 13944
% 6.88/1.42 % (4603)Time elapsed: 0.895 s
% 6.88/1.42 % (4603)Instructions burned: 467 (million)
% 6.88/1.42 % (4603)------------------------------
% 6.88/1.42 % (4603)------------------------------
% 7.55/1.43 % (4608)Instruction limit reached!
% 7.55/1.43 % (4608)------------------------------
% 7.55/1.43 % (4608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.55/1.43 % (4608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.55/1.43 % (4608)Termination reason: Unknown
% 7.55/1.43 % (4608)Termination phase: Saturation
% 7.55/1.43
% 7.55/1.43 % (4608)Memory used [KB]: 14711
% 7.55/1.43 % (4608)Time elapsed: 0.928 s
% 7.55/1.43 % (4608)Instructions burned: 440 (million)
% 7.55/1.43 % (4608)------------------------------
% 7.55/1.43 % (4608)------------------------------
% 7.55/1.47 % (4638)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 7.55/1.48 % (4639)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 7.99/1.49 % (4610)Instruction limit reached!
% 7.99/1.49 % (4610)------------------------------
% 7.99/1.49 % (4610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.99/1.49 % (4610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.99/1.49 % (4610)Termination reason: Unknown
% 7.99/1.49 % (4610)Termination phase: Saturation
% 7.99/1.49
% 7.99/1.49 % (4610)Memory used [KB]: 11385
% 7.99/1.49 % (4602)Instruction limit reached!
% 7.99/1.49 % (4602)------------------------------
% 7.99/1.49 % (4602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.99/1.49 % (4610)Time elapsed: 0.792 s
% 7.99/1.49 % (4610)Instructions burned: 388 (million)
% 7.99/1.49 % (4602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.99/1.49 % (4610)------------------------------
% 7.99/1.49 % (4610)------------------------------
% 7.99/1.49 % (4602)Termination reason: Unknown
% 7.99/1.49 % (4602)Termination phase: Saturation
% 7.99/1.49
% 7.99/1.49 % (4602)Memory used [KB]: 6140
% 7.99/1.49 % (4602)Time elapsed: 0.923 s
% 7.99/1.49 % (4602)Instructions burned: 499 (million)
% 7.99/1.49 % (4602)------------------------------
% 7.99/1.49 % (4602)------------------------------
% 8.54/1.58 % (4641)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.54/1.61 % (4604)Instruction limit reached!
% 8.54/1.61 % (4604)------------------------------
% 8.54/1.61 % (4604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.54/1.61 % (4604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.54/1.61 % (4604)Termination reason: Unknown
% 8.54/1.61 % (4604)Termination phase: Saturation
% 8.54/1.61
% 8.54/1.61 % (4604)Memory used [KB]: 12920
% 8.54/1.61 % (4604)Time elapsed: 0.798 s
% 8.54/1.61 % (4604)Instructions burned: 482 (million)
% 8.54/1.61 % (4604)------------------------------
% 8.54/1.61 % (4604)------------------------------
% 8.54/1.61 % (4640)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 9.44/1.65 % (4605)Instruction limit reached!
% 9.44/1.65 % (4605)------------------------------
% 9.44/1.65 % (4605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.44/1.65 % (4605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.44/1.65 % (4605)Termination reason: Unknown
% 9.44/1.65 % (4605)Termination phase: Saturation
% 9.44/1.65
% 9.44/1.65 % (4605)Memory used [KB]: 13176
% 9.44/1.65 % (4605)Time elapsed: 1.134 s
% 9.44/1.65 % (4605)Instructions burned: 501 (million)
% 9.44/1.65 % (4605)------------------------------
% 9.44/1.65 % (4605)------------------------------
% 9.44/1.65 % (4642)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 9.44/1.69 % (4643)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 9.44/1.69 TRYING [1]
% 9.44/1.71 % (4641)Instruction limit reached!
% 9.44/1.71 % (4641)------------------------------
% 9.44/1.71 % (4641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.44/1.71 % (4641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.44/1.71 % (4641)Termination reason: Unknown
% 9.44/1.71 % (4641)Termination phase: Saturation
% 9.44/1.71
% 9.44/1.71 % (4641)Memory used [KB]: 8827
% 9.44/1.71 % (4641)Time elapsed: 0.245 s
% 9.44/1.71 % (4641)Instructions burned: 90 (million)
% 9.44/1.71 % (4641)------------------------------
% 9.44/1.71 % (4641)------------------------------
% 10.14/1.78 % (4644)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/35256Mi)
% 10.56/1.80 % (4645)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/32293Mi)
% 11.04/1.88 % (4646)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/37001Mi)
% 11.66/1.95 % (4616)Instruction limit reached!
% 11.66/1.95 % (4616)------------------------------
% 11.66/1.95 % (4616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.66/1.95 % (4616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.66/1.95 % (4616)Termination reason: Unknown
% 11.66/1.95 % (4616)Termination phase: Saturation
% 11.66/1.95
% 11.66/1.95 % (4616)Memory used [KB]: 6396
% 11.66/1.95 % (4616)Time elapsed: 1.196 s
% 11.66/1.95 % (4616)Instructions burned: 655 (million)
% 11.66/1.95 % (4616)------------------------------
% 11.66/1.95 % (4616)------------------------------
% 12.29/2.09 % (4647)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/10187Mi)
% 15.32/2.39 % (4615)Instruction limit reached!
% 15.32/2.39 % (4615)------------------------------
% 15.32/2.39 % (4615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.32/2.39 % (4615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.32/2.39 % (4615)Termination reason: Unknown
% 15.32/2.39 % (4615)Termination phase: Saturation
% 15.32/2.39
% 15.32/2.39 % (4615)Memory used [KB]: 14583
% 15.32/2.39 % (4615)Time elapsed: 1.618 s
% 15.32/2.39 % (4615)Instructions burned: 748 (million)
% 15.32/2.39 % (4615)------------------------------
% 15.32/2.39 % (4615)------------------------------
% 15.32/2.39 % (4614)Instruction limit reached!
% 15.32/2.39 % (4614)------------------------------
% 15.32/2.39 % (4614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.32/2.39 % (4614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.32/2.39 % (4614)Termination reason: Unknown
% 15.32/2.39 % (4614)Termination phase: Saturation
% 15.32/2.39
% 15.32/2.39 % (4614)Memory used [KB]: 24050
% 15.32/2.39 % (4614)Time elapsed: 1.650 s
% 15.32/2.39 % (4614)Instructions burned: 934 (million)
% 15.32/2.39 % (4614)------------------------------
% 15.32/2.39 % (4614)------------------------------
% 16.36/2.55 % (4649)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10147Mi)
% 16.36/2.55 % (4613)Instruction limit reached!
% 16.36/2.55 % (4613)------------------------------
% 16.36/2.55 % (4613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.36/2.55 % (4613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.36/2.55 % (4613)Termination reason: Unknown
% 16.36/2.55 % (4613)Termination phase: Saturation
% 16.36/2.55
% 16.36/2.55 % (4613)Memory used [KB]: 25969
% 16.36/2.55 % (4613)Time elapsed: 1.830 s
% 16.36/2.55 % (4613)Instructions burned: 922 (million)
% 16.36/2.55 % (4613)------------------------------
% 16.36/2.55 % (4613)------------------------------
% 16.70/2.57 % (4648)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/29337Mi)
% 16.70/2.61 % (4618)Instruction limit reached!
% 16.70/2.61 % (4618)------------------------------
% 16.70/2.61 % (4618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.70/2.61 % (4618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.70/2.61 % (4618)Termination reason: Unknown
% 16.70/2.61 % (4618)Termination phase: Saturation
% 16.70/2.61
% 16.70/2.61 % (4618)Memory used [KB]: 15223
% 16.70/2.61 % (4618)Time elapsed: 1.854 s
% 16.70/2.61 % (4618)Instructions burned: 941 (million)
% 16.70/2.61 % (4618)------------------------------
% 16.70/2.61 % (4618)------------------------------
% 17.57/2.70 % (4650)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/38056Mi)
% 17.57/2.71 % (4619)Instruction limit reached!
% 17.57/2.71 % (4619)------------------------------
% 17.57/2.71 % (4619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.57/2.71 % (4619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.57/2.71 % (4619)Termination reason: Unknown
% 17.57/2.71 % (4619)Termination phase: Saturation
% 17.57/2.71
% 17.57/2.71 % (4619)Memory used [KB]: 24434
% 17.57/2.71 % (4619)Time elapsed: 1.935 s
% 17.57/2.71 % (4619)Instructions burned: 981 (million)
% 17.57/2.71 % (4619)------------------------------
% 17.57/2.71 % (4619)------------------------------
% 18.44/2.77 % (4651)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/33239Mi)
% 19.08/2.86 % (4652)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/20987Mi)
% 20.81/3.07 TRYING [2]
% 25.66/3.70 TRYING [1]
% 26.02/3.74 TRYING [1]
% 26.17/3.79 TRYING [1]
% 26.81/3.85 % (4621)Instruction limit reached!
% 26.81/3.85 % (4621)------------------------------
% 26.81/3.85 % (4621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.81/3.85 % (4621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.81/3.85 % (4621)Termination reason: Unknown
% 26.81/3.85 % (4621)Termination phase: Saturation
% 26.81/3.85
% 26.81/3.85 % (4621)Memory used [KB]: 9210
% 26.81/3.85 % (4621)Time elapsed: 3.073 s
% 26.81/3.85 % (4621)Instructions burned: 2018 (million)
% 26.81/3.85 % (4621)------------------------------
% 26.81/3.85 % (4621)------------------------------
% 27.23/3.91 % (4638)First to succeed.
% 28.03/4.00 % (4638)Refutation found. Thanks to Tanya!
% 28.03/4.00 % SZS status Unsatisfiable for theBenchmark
% 28.03/4.00 % SZS output start Proof for theBenchmark
% See solution above
% 28.03/4.02 % (4638)------------------------------
% 28.03/4.02 % (4638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.03/4.02 % (4638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.03/4.02 % (4638)Termination reason: Refutation
% 28.03/4.02
% 28.03/4.02 % (4638)Memory used [KB]: 15351
% 28.03/4.02 % (4638)Time elapsed: 2.558 s
% 28.03/4.02 % (4638)Instructions burned: 1711 (million)
% 28.03/4.02 % (4638)------------------------------
% 28.03/4.02 % (4638)------------------------------
% 28.03/4.02 % (4579)Success in time 3.657 s
%------------------------------------------------------------------------------