TSTP Solution File: SWV342-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV342-1 : 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 : n017.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 18:56:28 EDT 2022
% Result : Unsatisfiable 19.45s 2.91s
% Output : Refutation 19.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 501
% Syntax : Number of formulae : 950 ( 397 unt; 0 def)
% Number of atoms : 1685 ( 296 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 1234 ( 499 ~; 480 |; 0 &)
% ( 255 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 321 ( 319 usr; 256 prp; 0-3 aty)
% Number of functors : 103 ( 103 usr; 57 con; 0-3 aty)
% Number of variables : 340 ( 340 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9511,plain,
$false,
inference(avatar_smt_refutation,[],[f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3255,f3260,f3265,f3270,f3275,f3280,f3285,f3290,f3295,f3300,f3305,f3310,f3315,f3320,f3325,f3330,f3335,f3340,f3345,f3350,f3355,f3360,f3365,f3370,f3375,f3380,f3385,f3390,f3395,f3400,f3405,f3410,f3415,f3420,f3425,f3430,f3435,f3440,f3445,f3450,f3455,f3460,f3467,f3472,f3477,f3482,f3490,f3495,f3504,f3509,f3514,f3515,f3520,f3525,f3530,f3537,f3542,f3547,f3548,f3555,f3560,f3565,f3570,f3575,f3580,f3585,f3590,f3595,f3600,f3606,f3611,f3617,f3619,f3624,f3629,f3635,f3642,f3647,f3652,f3658,f3663,f3668,f3673,f3678,f3683,f3689,f3694,f3700,f3705,f3712,f3717,f3726,f3731,f3736,f3741,f3746,f3751,f3756,f3761,f3766,f3771,f3776,f3777,f3782,f3787,f3794,f3799,f3804,f3809,f3815,f3821,f3826,f3832,f3837,f3843,f3848,f3853,f3858,f3863,f3868,f3874,f3879,f3884,f3889,f3894,f3901,f3906,f3907,f3912,f3917,f3922,f3928,f3934,f3939,f3944,f3949,f3955,f3960,f3965,f3973,f3980,f3985,f3990,f3996,f4002,f4007,f4008,f4013,f4018,f4023,f4029,f4034,f4039,f4045,f4050,f4055,f4057,f4062,f4063,f4069,f4079,f4083,f4088,f4093,f4096,f4101,f4107,f4112,f4117,f4122,f4134,f4139,f4145,f4153,f4157,f4162,f4167,f4172,f4178,f4183,f4188,f4205,f4238,f4239,f4240,f4271,f4342,f4379,f4385,f4391,f4398,f4414,f4419,f4427,f4436,f4472,f4481,f4556,f4675,f4765,f4770,f4783,f4851,f4864,f4878,f4901,f5734,f5738,f5791,f5829,f8012,f8013,f8014,f8015,f8016,f8029,f8034,f8063,f8070,f8080,f8090,f8095,f8100,f8107,f8134,f8189,f8211,f8217,f8263,f8304,f8310,f8311,f8313,f8318,f8324,f8345,f8354,f8364,f8366,f8375,f8380,f8633,f8638,f8871,f8875,f9387,f9453,f9459,f9471,f9476,f9481,f9486,f9488,f9490,f9505,f9510]) ).
fof(f9510,plain,
( spl0_255
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f9504,f9468,f9507]) ).
fof(f9507,plain,
( spl0_255
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(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_255])]) ).
fof(f9468,plain,
( spl0_251
<=> 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_251])]) ).
fof(f9504,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))
| ~ spl0_251 ),
inference(resolution,[],[f9470,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
fof(f9470,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_251 ),
inference(avatar_component_clause,[],[f9468]) ).
fof(f9505,plain,
( spl0_124
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f9503,f9468,f3855]) ).
fof(f3855,plain,
( spl0_124
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f9503,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_251 ),
inference(resolution,[],[f9470,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/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f9490,plain,
( spl0_253
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9489,f9450,f9478]) ).
fof(f9478,plain,
( spl0_253
<=> 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_253])]) ).
fof(f9450,plain,
( spl0_249
<=> 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_249])]) ).
fof(f9489,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_249 ),
inference(forward_demodulation,[],[f9465,f2862]) ).
fof(f2862,axiom,
! [X88] : c_Message_Oparts(X88) = c_Message_Oanalz(c_Message_Oparts(X88)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
fof(f9465,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_249 ),
inference(resolution,[],[f9452,f4504]) ).
fof(f4504,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(f2847,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f9452,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_249 ),
inference(avatar_component_clause,[],[f9450]) ).
fof(f9488,plain,
( spl0_251
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9487,f9450,f9468]) ).
fof(f9487,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_249 ),
inference(forward_demodulation,[],[f9466,f2862]) ).
fof(f9466,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_249 ),
inference(resolution,[],[f9452,f4501]) ).
fof(f4501,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(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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f9486,plain,
( spl0_254
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9464,f9450,f9483]) ).
fof(f9483,plain,
( spl0_254
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f9464,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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))
| ~ spl0_249 ),
inference(resolution,[],[f9452,f2870]) ).
fof(f9481,plain,
( spl0_253
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9461,f9450,f9478]) ).
fof(f9461,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_249 ),
inference(resolution,[],[f9452,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f9476,plain,
( spl0_252
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9463,f9450,f9473]) ).
fof(f9473,plain,
( spl0_252
<=> 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_252])]) ).
fof(f9463,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_249 ),
inference(resolution,[],[f9452,f2774]) ).
fof(f9471,plain,
( spl0_251
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f9462,f9450,f9468]) ).
fof(f9462,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_249 ),
inference(resolution,[],[f9452,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f9459,plain,
( spl0_250
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f9454,f4767,f9456]) ).
fof(f9456,plain,
( spl0_250
<=> 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_250])]) ).
fof(f4767,plain,
( spl0_203
<=> 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_203])]) ).
fof(f9454,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_203 ),
inference(forward_demodulation,[],[f9426,f2869]) ).
fof(f2869,axiom,
! [X88] : c_Message_Oparts(X88) = c_Message_Oparts(c_Message_Oanalz(X88)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f9426,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_203 ),
inference(resolution,[],[f4797,f4769]) ).
fof(f4769,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_203 ),
inference(avatar_component_clause,[],[f4767]) ).
fof(f4797,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f9453,plain,
( spl0_249
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f9448,f4762,f9450]) ).
fof(f4762,plain,
( spl0_202
<=> 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_202])]) ).
fof(f9448,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_202 ),
inference(forward_demodulation,[],[f9425,f2869]) ).
fof(f9425,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_202 ),
inference(resolution,[],[f4797,f4764]) ).
fof(f4764,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_202 ),
inference(avatar_component_clause,[],[f4762]) ).
fof(f9387,plain,
( spl0_115
| spl0_248
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f9364,f4433,f3474,f9385,f3806]) ).
fof(f3806,plain,
( spl0_115
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f9385,plain,
( spl0_248
<=> ! [X22] : c_Nat_Osize(X22,tc_Message_Omsg) != c_Nat_Osize(c_Message_Omsg_OHash(X22),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f3474,plain,
( spl0_53
<=> 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_53])]) ).
fof(f4433,plain,
( spl0_197
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f9364,plain,
( ! [X22] :
( c_Nat_Osize(X22,tc_Message_Omsg) != c_Nat_Osize(c_Message_Omsg_OHash(X22),tc_Message_Omsg)
| c_0 = c_1 )
| ~ spl0_53
| ~ spl0_197 ),
inference(superposition,[],[f5076,f4440]) ).
fof(f4440,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_53
| ~ spl0_197 ),
inference(backward_demodulation,[],[f4244,f4435]) ).
fof(f4435,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f4244,plain,
( ! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_times(c_1,c_1,tc_nat),tc_nat)
| ~ spl0_53 ),
inference(backward_demodulation,[],[f3027,f3476]) ).
fof(f3476,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3027,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Osize__5_0) ).
fof(f5076,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel_0) ).
fof(f8875,plain,
( spl0_115
| spl0_247
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f8865,f4433,f3474,f8873,f3806]) ).
fof(f8873,plain,
( spl0_247
<=> ! [X6,X7,X8] : c_Nat_Osize(X6,tc_List_Olist(X7)) != c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f8865,plain,
( ! [X8,X6,X7] :
( c_Nat_Osize(X6,tc_List_Olist(X7)) != c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7))
| c_0 = c_1 )
| ~ spl0_53
| ~ spl0_197 ),
inference(superposition,[],[f5076,f4451]) ).
fof(f4451,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_53
| ~ spl0_197 ),
inference(backward_demodulation,[],[f4256,f4435]) ).
fof(f4256,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_times(c_1,c_1,tc_nat),tc_nat)
| ~ spl0_53 ),
inference(backward_demodulation,[],[f3145,f3476]) ).
fof(f3145,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/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Osize__2_0) ).
fof(f8871,plain,
( spl0_246
| spl0_115
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f8866,f4433,f3474,f3806,f8869]) ).
fof(f8869,plain,
( spl0_246
<=> ! [X9,X10] : c_Nat_Osize(c_Message_Omsg_OMPair(X9,X10),tc_Message_Omsg) != c_plus(c_Nat_Osize(X9,tc_Message_Omsg),c_Nat_Osize(X10,tc_Message_Omsg),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f8866,plain,
( ! [X10,X9] :
( c_0 = c_1
| c_Nat_Osize(c_Message_Omsg_OMPair(X9,X10),tc_Message_Omsg) != c_plus(c_Nat_Osize(X9,tc_Message_Omsg),c_Nat_Osize(X10,tc_Message_Omsg),tc_nat) )
| ~ spl0_53
| ~ spl0_197 ),
inference(superposition,[],[f5076,f4444]) ).
fof(f4444,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_53
| ~ spl0_197 ),
inference(backward_demodulation,[],[f4248,f4435]) ).
fof(f4248,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_times(c_1,c_1,tc_nat),tc_nat)
| ~ spl0_53 ),
inference(backward_demodulation,[],[f3050,f3476]) ).
fof(f3050,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Osize__6_0) ).
fof(f8638,plain,
( spl0_245
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f8626,f4848,f8635]) ).
fof(f8635,plain,
( spl0_245
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f4848,plain,
( spl0_205
<=> 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_205])]) ).
fof(f8626,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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))
| ~ spl0_205 ),
inference(resolution,[],[f4850,f2870]) ).
fof(f4850,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_205 ),
inference(avatar_component_clause,[],[f4848]) ).
fof(f8633,plain,
( spl0_244
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f8625,f4848,f8630]) ).
fof(f8630,plain,
( spl0_244
<=> 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_244])]) ).
fof(f8625,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_205 ),
inference(resolution,[],[f4850,f2774]) ).
fof(f8380,plain,
( spl0_243
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f8369,f8321,f8377]) ).
fof(f8377,plain,
( spl0_243
<=> c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f8321,plain,
( spl0_237
<=> 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_237])]) ).
fof(f8369,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_237 ),
inference(resolution,[],[f8323,f2774]) ).
fof(f8323,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_237 ),
inference(avatar_component_clause,[],[f8321]) ).
fof(f8375,plain,
( spl0_242
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f8370,f8321,f8372]) ).
fof(f8372,plain,
( spl0_242
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f8370,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Ba),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))
| ~ spl0_237 ),
inference(resolution,[],[f8323,f2870]) ).
fof(f8366,plain,
( spl0_238
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f8365,f8351,f8339]) ).
fof(f8339,plain,
( spl0_238
<=> c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f8351,plain,
( spl0_241
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f8365,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_241 ),
inference(resolution,[],[f8353,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).
fof(f8353,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f8351]) ).
fof(f8364,plain,
~ spl0_238,
inference(avatar_contradiction_clause,[],[f8363]) ).
fof(f8363,plain,
( $false
| ~ spl0_238 ),
inference(resolution,[],[f8341,f2672]) ).
fof(f2672,axiom,
! [X1,X4] : ~ c_in(X4,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).
fof(f8341,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f8339]) ).
fof(f8354,plain,
( spl0_240
| spl0_241
| ~ spl0_198
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f8335,f4861,f4469,f8351,f8348]) ).
fof(f8348,plain,
( spl0_240
<=> ! [X22] : c_insert(c_Message_Omsg_OCrypt(v_K,X22),c_Message_Osynth(c_emptyset),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X22),c_Message_Osynth(c_emptyset),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f4469,plain,
( spl0_198
<=> v_K = c_Message_OinvKey(v_K) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f4861,plain,
( spl0_206
<=> c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f8335,plain,
( ! [X22] :
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| c_insert(c_Message_Omsg_OCrypt(v_K,X22),c_Message_Osynth(c_emptyset),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X22),c_Message_Osynth(c_emptyset),tc_Message_Omsg)) )
| ~ spl0_198
| ~ spl0_206 ),
inference(superposition,[],[f6962,f4863]) ).
fof(f4863,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f4861]) ).
fof(f6962,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X1),X0,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(v_K,X1),c_Message_Oanalz(X0),tc_Message_Omsg) )
| ~ spl0_198 ),
inference(superposition,[],[f2849,f4471]) ).
fof(f4471,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f4469]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__Crypt__if_1) ).
fof(f8345,plain,
( spl0_238
| spl0_239
| ~ spl0_54
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f8327,f4469,f3479,f8343,f8339]) ).
fof(f8343,plain,
( spl0_239
<=> ! [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_239])]) ).
fof(f3479,plain,
( spl0_54
<=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f8327,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_54
| ~ spl0_198 ),
inference(superposition,[],[f6962,f3481]) ).
fof(f3481,plain,
( c_emptyset = c_Message_Oanalz(c_emptyset)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f3479]) ).
fof(f8324,plain,
( spl0_237
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f8319,f8301,f8321]) ).
fof(f8301,plain,
( spl0_234
<=> 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_234])]) ).
fof(f8319,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_234 ),
inference(resolution,[],[f8303,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f8303,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_234 ),
inference(avatar_component_clause,[],[f8301]) ).
fof(f8318,plain,
( spl0_236
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f8297,f4672,f8315]) ).
fof(f8315,plain,
( spl0_236
<=> 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_236])]) ).
fof(f4672,plain,
( spl0_201
<=> 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_201])]) ).
fof(f8297,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_201 ),
inference(resolution,[],[f4674,f2852]) ).
fof(f4674,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_201 ),
inference(avatar_component_clause,[],[f4672]) ).
fof(f8313,plain,
( spl0_234
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f8312,f4672,f8301]) ).
fof(f8312,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_201 ),
inference(forward_demodulation,[],[f8298,f2854]) ).
fof(f2854,axiom,
! [X88] : c_Message_Oanalz(X88) = c_Message_Oanalz(c_Message_Oanalz(X88)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__idem_0) ).
fof(f8298,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_201 ),
inference(resolution,[],[f4674,f4504]) ).
fof(f8311,plain,
( spl0_235
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f8296,f4672,f8307]) ).
fof(f8307,plain,
( spl0_235
<=> 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_235])]) ).
fof(f8296,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_201 ),
inference(resolution,[],[f4674,f2833]) ).
fof(f8310,plain,
( spl0_235
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f8305,f4672,f8307]) ).
fof(f8305,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_201 ),
inference(forward_demodulation,[],[f8299,f2854]) ).
fof(f8299,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_201 ),
inference(resolution,[],[f4674,f4501]) ).
fof(f8304,plain,
( spl0_234
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f8295,f4672,f8301]) ).
fof(f8295,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_201 ),
inference(resolution,[],[f4674,f2834]) ).
fof(f8263,plain,
( spl0_232
| spl0_233
| ~ spl0_53
| ~ spl0_140
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f8252,f4433,f3941,f3474,f8260,f8257]) ).
fof(f8257,plain,
( spl0_232
<=> ! [X2] : ~ c_lessequals(c_1,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f8260,plain,
( spl0_233
<=> c_lessequals(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f3941,plain,
( spl0_140
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f8252,plain,
( ! [X2] :
( c_lessequals(c_1,c_1,tc_nat)
| ~ c_lessequals(c_1,X2,tc_nat) )
| ~ spl0_53
| ~ spl0_140
| ~ spl0_197 ),
inference(superposition,[],[f4456,f5920]) ).
fof(f5920,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = X0
| ~ spl0_140 ),
inference(forward_demodulation,[],[f5919,f2026]) ).
fof(f5919,plain,
( ! [X0] : c_plus(X0,c_0,tc_nat) = c_times(c_1,X0,tc_nat)
| ~ spl0_140 ),
inference(forward_demodulation,[],[f5898,f2098]) ).
fof(f2098,axiom,
! [X21] : c_0 = c_times(c_0,X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__0_0) ).
fof(f5898,plain,
( ! [X0] : c_plus(X0,c_times(c_0,X0,tc_nat),tc_nat) = c_times(c_1,X0,tc_nat)
| ~ spl0_140 ),
inference(superposition,[],[f3103,f3943]) ).
fof(f3943,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f3941]) ).
fof(f3103,plain,
! [X21,X15] : c_plus(X21,c_times(X15,X21,tc_nat),tc_nat) = c_times(c_Finite__Set_Ocard(c_SetInterval_OatMost(X15,tc_nat),tc_nat),X21,tc_nat),
inference(definition_unfolding,[],[f2099,f2544]) ).
fof(f2099,axiom,
! [X21,X15] : c_times(c_Suc(X15),X21,tc_nat) = c_plus(X21,c_times(X15,X21,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__Suc_0) ).
fof(f4456,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X15,tc_nat) )
| ~ spl0_53
| ~ spl0_197 ),
inference(backward_demodulation,[],[f4261,f4435]) ).
fof(f4261,plain,
( ! [X21,X15] :
( c_lessequals(c_1,X15,tc_nat)
| ~ c_lessequals(c_times(c_1,c_1,tc_nat),c_times(X15,X21,tc_nat),tc_nat) )
| ~ spl0_53 ),
inference(backward_demodulation,[],[f3207,f3476]) ).
fof(f3207,plain,
! [X21,X15] :
( ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X15,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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_0) ).
fof(f8217,plain,
( spl0_231
| ~ spl0_229
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f8212,f8208,f8186,f8214]) ).
fof(f8214,plain,
( spl0_231
<=> 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_231])]) ).
fof(f8186,plain,
( spl0_229
<=> c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f8208,plain,
( spl0_230
<=> 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_230])]) ).
fof(f8212,plain,
( c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_229
| ~ spl0_230 ),
inference(backward_demodulation,[],[f8188,f8210]) ).
fof(f8210,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_230 ),
inference(avatar_component_clause,[],[f8208]) ).
fof(f8188,plain,
( c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f8186]) ).
fof(f8211,plain,
( spl0_230
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f8205,f4875,f8208]) ).
fof(f4875,plain,
( spl0_207
<=> c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f8205,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_207 ),
inference(superposition,[],[f2883,f4877]) ).
fof(f4877,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset))
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f4875]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f8189,plain,
( spl0_229
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f8177,f4861,f8186]) ).
fof(f8177,plain,
( c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_206 ),
inference(superposition,[],[f2865,f4863]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth_0) ).
fof(f8134,plain,
( ~ spl0_228
| spl0_217 ),
inference(avatar_split_clause,[],[f8129,f8022,f8131]) ).
fof(f8131,plain,
( spl0_228
<=> 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_228])]) ).
fof(f8022,plain,
( spl0_217
<=> 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_217])]) ).
fof(f8129,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_217 ),
inference(resolution,[],[f8023,f2847]) ).
fof(f8023,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_217 ),
inference(avatar_component_clause,[],[f8022]) ).
fof(f8107,plain,
( ~ spl0_227
| spl0_223 ),
inference(avatar_split_clause,[],[f8102,f8077,f8104]) ).
fof(f8104,plain,
( spl0_227
<=> 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_227])]) ).
fof(f8077,plain,
( spl0_223
<=> 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_223])]) ).
fof(f8102,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_223 ),
inference(resolution,[],[f8079,f2847]) ).
fof(f8079,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_223 ),
inference(avatar_component_clause,[],[f8077]) ).
fof(f8100,plain,
( spl0_226
| ~ spl0_21
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f8085,f3603,f3312,f8097]) ).
fof(f8097,plain,
( spl0_226
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f3312,plain,
( spl0_21
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3603,plain,
( spl0_77
<=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f8085,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg))
| ~ spl0_21
| ~ spl0_77 ),
inference(resolution,[],[f5377,f3314]) ).
fof(f3314,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f5377,plain,
( ! [X2] :
( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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)) )
| ~ spl0_77 ),
inference(resolution,[],[f2870,f4624]) ).
fof(f4624,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_77 ),
inference(resolution,[],[f2940,f3605]) ).
fof(f3605,plain,
( c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3603]) ).
fof(f2940,axiom,
! [X102,X12] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__see__shrK_1) ).
fof(f8095,plain,
( spl0_225
| ~ spl0_77
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f8084,f3644,f3603,f8092]) ).
fof(f8092,plain,
( spl0_225
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f3644,plain,
( spl0_84
<=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f8084,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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))
| ~ spl0_77
| ~ spl0_84 ),
inference(resolution,[],[f5377,f3646]) ).
fof(f3646,plain,
( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f3644]) ).
fof(f8090,plain,
( spl0_224
| ~ spl0_77
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f8083,f3675,f3603,f8087]) ).
fof(f8087,plain,
( spl0_224
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f3675,plain,
( spl0_90
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f8083,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) = 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))
| ~ spl0_77
| ~ spl0_90 ),
inference(resolution,[],[f5377,f3677]) ).
fof(f3677,plain,
( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f8080,plain,
( spl0_222
| ~ spl0_223
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8071,f4767,f8077,f8073]) ).
fof(f8073,plain,
( spl0_222
<=> 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_222])]) ).
fof(f8071,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)
| 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_203 ),
inference(forward_demodulation,[],[f8064,f2900]) ).
fof(f2900,axiom,
! [X12] : c_Public_OshrK(X12) = c_Message_OinvKey(c_Public_OshrK(X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OinvKey__shrK_0) ).
fof(f8064,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_Message_OinvKey(c_Public_OshrK(v_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_203 ),
inference(resolution,[],[f4769,f2846]) ).
fof(f2846,axiom,
! [X91,X88,X86] :
( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f8070,plain,
( spl0_221
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8065,f4767,f8067]) ).
fof(f8067,plain,
( spl0_221
<=> 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_221])]) ).
fof(f8065,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_203 ),
inference(resolution,[],[f4769,f2852]) ).
fof(f8063,plain,
( ~ spl0_220
| spl0_218 ),
inference(avatar_split_clause,[],[f8058,f8026,f8060]) ).
fof(f8060,plain,
( spl0_220
<=> 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_220])]) ).
fof(f8026,plain,
( spl0_218
<=> 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_218])]) ).
fof(f8058,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_218 ),
inference(resolution,[],[f8028,f2847]) ).
fof(f8028,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_218 ),
inference(avatar_component_clause,[],[f8026]) ).
fof(f8034,plain,
( spl0_219
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f8019,f4762,f8031]) ).
fof(f8031,plain,
( spl0_219
<=> 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_219])]) ).
fof(f8019,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_202 ),
inference(resolution,[],[f4764,f2852]) ).
fof(f8029,plain,
( spl0_217
| ~ spl0_218
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f8020,f4762,f8026,f8022]) ).
fof(f8020,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_202 ),
inference(forward_demodulation,[],[f8018,f2900]) ).
fof(f8018,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)
| ~ 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)
| ~ spl0_202 ),
inference(resolution,[],[f4764,f2846]) ).
fof(f8016,plain,
( spl0_215
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f8003,f3312,f8007]) ).
fof(f8007,plain,
( spl0_215
<=> ! [X45,X44,X43,X46] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X45,v_Aa))),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_215])]) ).
fof(f8003,plain,
( ! [X31,X34,X32,X33] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X33,v_Aa))),c_insert(X34,c_insert(X31,c_Event_Oknows(c_Message_Oagent_OSpy,X32),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21 ),
inference(superposition,[],[f6352,f4628]) ).
fof(f4628,plain,
( ! [X10,X9] : c_insert(X9,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_Aa,X9),X10,tc_Event_Oevent))
| ~ spl0_21 ),
inference(resolution,[],[f2797,f3314]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Event_Oknows__Spy__Notes_0) ).
fof(f6352,plain,
( ! [X14,X12,X13] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X12,v_Aa))),c_insert(X13,c_Event_Oknows(c_Message_Oagent_OSpy,X14),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21 ),
inference(resolution,[],[f4546,f3314]) ).
fof(f4546,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__privateKey_0) ).
fof(f8015,plain,
( spl0_215
| ~ spl0_21
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f7999,f3675,f3312,f8007]) ).
fof(f7999,plain,
( ! [X18,X16,X17,X15] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X17,v_Aa))),c_insert(X18,c_insert(X15,c_Event_Oknows(c_Message_Oagent_OSpy,X16),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21
| ~ spl0_90 ),
inference(superposition,[],[f6352,f4626]) ).
fof(f4626,plain,
( ! [X6,X5] : c_insert(X5,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X5),X6,tc_Event_Oevent))
| ~ spl0_90 ),
inference(resolution,[],[f2797,f3677]) ).
fof(f8014,plain,
( spl0_215
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f7997,f3312,f8007]) ).
fof(f7997,plain,
( ! [X10,X8,X9,X7] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X9,v_Aa))),c_insert(X10,c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21 ),
inference(superposition,[],[f6352,f2799]) ).
fof(f8013,plain,
( spl0_215
| ~ spl0_21
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f8002,f3644,f3312,f8007]) ).
fof(f8002,plain,
( ! [X28,X29,X27,X30] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X29,v_Aa))),c_insert(X30,c_insert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X28),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21
| ~ spl0_84 ),
inference(superposition,[],[f6352,f4627]) ).
fof(f4627,plain,
( ! [X8,X7] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_Ba,X7),X8,tc_Event_Oevent)) = c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg)
| ~ spl0_84 ),
inference(resolution,[],[f2797,f3646]) ).
fof(f8012,plain,
( spl0_215
| spl0_216
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f8005,f3312,f8010,f8007]) ).
fof(f8010,plain,
( spl0_216
<=> ! [X42,X48,X47] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X42,X47),X48,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f8005,plain,
( ! [X48,X46,X47,X44,X45,X42,X43] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X42,X47),X48,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X48)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X45,v_Aa))),c_insert(X46,c_insert(X43,c_Event_Oknows(c_Message_Oagent_OSpy,X44),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_21 ),
inference(superposition,[],[f6352,f4625]) ).
fof(f4625,plain,
! [X2,X3,X0,X1,X4] :
( 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,X1),X2,tc_Event_Oevent))
| 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/sandbox2/benchmark/theBenchmark.p',cls_Event_Oknows__Spy__Notes_1) ).
fof(f5829,plain,
( spl0_213
| spl0_214
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f5814,f3312,f5827,f5824]) ).
fof(f5824,plain,
( spl0_213
<=> ! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f5827,plain,
( spl0_214
<=> ! [X1] : c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f5814,plain,
( ! [X0,X1] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)) = X1
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) )
| ~ spl0_21 ),
inference(resolution,[],[f5744,f2683]) ).
fof(f2683,axiom,
! [X18,X1,X27,X12] :
( ~ c_in(X18,c_insert(X27,X12,X1),X1)
| c_in(X18,X12,X1)
| X18 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
fof(f5744,plain,
( ! [X10,X9] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_insert(X9,c_Event_Oknows(c_Message_Oagent_OSpy,X10),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_21 ),
inference(resolution,[],[f4547,f3314]) ).
fof(f4547,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(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/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f5791,plain,
( spl0_211
| spl0_212
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f5777,f3644,f5789,f5786]) ).
fof(f5786,plain,
( spl0_211
<=> ! [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_211])]) ).
fof(f5789,plain,
( spl0_212
<=> ! [X1] : c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f5777,plain,
( ! [X0,X1] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)) = X1
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) )
| ~ spl0_84 ),
inference(resolution,[],[f5743,f2683]) ).
fof(f5743,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_84 ),
inference(resolution,[],[f4547,f3646]) ).
fof(f5738,plain,
( spl0_210
| ~ spl0_155
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f5718,f4433,f3474,f4026,f5736]) ).
fof(f5736,plain,
( spl0_210
<=> ! [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_210])]) ).
fof(f4026,plain,
( spl0_155
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f5718,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_53
| ~ spl0_197 ),
inference(superposition,[],[f2030,f4451]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0_2) ).
fof(f5734,plain,
( spl0_115
| spl0_209
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f5720,f4433,f3474,f5732,f3806]) ).
fof(f5732,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f5720,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_53
| ~ spl0_197 ),
inference(superposition,[],[f2032,f4451]) ).
fof(f2032,axiom,
! [X21,X15] :
( c_0 != c_plus(X15,X21,tc_nat)
| c_0 = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_1) ).
fof(f4901,plain,
( ~ spl0_155
| spl0_208
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f4895,f4433,f3474,f4899,f4026]) ).
fof(f4899,plain,
( spl0_208
<=> ! [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_208])]) ).
fof(f4895,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_53
| ~ spl0_197 ),
inference(superposition,[],[f2030,f4444]) ).
fof(f4878,plain,
( spl0_207
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4873,f3577,f4875]) ).
fof(f3577,plain,
( spl0_72
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f4873,plain,
( c_Message_Osynth(c_emptyset) = c_Message_Oparts(c_Message_Osynth(c_emptyset))
| ~ spl0_72 ),
inference(forward_demodulation,[],[f4867,f2638]) ).
fof(f2638,axiom,
! [X3,X1] : c_union(c_emptyset,X3,X1) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f4867,plain,
( c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_72 ),
inference(superposition,[],[f2883,f3579]) ).
fof(f3579,plain,
( c_emptyset = c_Message_Oparts(c_emptyset)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f4864,plain,
( spl0_206
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f4859,f3479,f4861]) ).
fof(f4859,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_54 ),
inference(forward_demodulation,[],[f4852,f2638]) ).
fof(f4852,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_54 ),
inference(superposition,[],[f2865,f3481]) ).
fof(f4851,plain,
( spl0_205
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f4840,f4553,f4848]) ).
fof(f4553,plain,
( spl0_200
<=> 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_200])]) ).
fof(f4840,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_200 ),
inference(resolution,[],[f2852,f4555]) ).
fof(f4555,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_200 ),
inference(avatar_component_clause,[],[f4553]) ).
fof(f4783,plain,
( spl0_115
| spl0_204
| ~ spl0_53
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f4777,f4433,f3474,f4781,f3806]) ).
fof(f4781,plain,
( spl0_204
<=> ! [X0,X1] : c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f4777,plain,
( ! [X0,X1] :
( c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg)
| c_0 = c_1 )
| ~ spl0_53
| ~ spl0_197 ),
inference(superposition,[],[f2032,f4444]) ).
fof(f4770,plain,
( spl0_203
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f4759,f4553,f4767]) ).
fof(f4759,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_200 ),
inference(resolution,[],[f4555,f2834]) ).
fof(f4765,plain,
( spl0_202
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f4760,f4553,f4762]) ).
fof(f4760,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_200 ),
inference(resolution,[],[f4555,f2833]) ).
fof(f4675,plain,
( spl0_201
| ~ spl0_49
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f4670,f3603,f3452,f4672]) ).
fof(f3452,plain,
( spl0_49
<=> 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_49])]) ).
fof(f4670,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_49
| ~ spl0_77 ),
inference(resolution,[],[f4629,f3454]) ).
fof(f3454,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_49 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f4629,plain,
( ! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) )
| ~ spl0_77 ),
inference(resolution,[],[f2936,f3605]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f4556,plain,
( spl0_200
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f4550,f3597,f4553]) ).
fof(f3597,plain,
( spl0_76
<=> 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_76])]) ).
fof(f4550,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_76 ),
inference(resolution,[],[f2933,f3599]) ).
fof(f3599,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_76 ),
inference(avatar_component_clause,[],[f3597]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f4481,plain,
( ~ spl0_199
| spl0_181 ),
inference(avatar_split_clause,[],[f4474,f4180,f4478]) ).
fof(f4478,plain,
( spl0_199
<=> 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_199])]) ).
fof(f4180,plain,
( spl0_181
<=> 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_181])]) ).
fof(f4474,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_181 ),
inference(resolution,[],[f2847,f4182]) ).
fof(f4182,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_181 ),
inference(avatar_component_clause,[],[f4180]) ).
fof(f4472,plain,
( spl0_198
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f4467,f3387,f4469]) ).
fof(f3387,plain,
( spl0_36
<=> c_in(v_K,c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f4467,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_36 ),
inference(resolution,[],[f2899,f3389]) ).
fof(f3389,plain,
( c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f3387]) ).
fof(f2899,axiom,
! [X3] :
( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f4436,plain,
( spl0_197
| ~ spl0_186
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f4431,f4395,f4268,f4433]) ).
fof(f4268,plain,
( spl0_186
<=> c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f4395,plain,
( spl0_191
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f4431,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_186
| ~ spl0_191 ),
inference(forward_demodulation,[],[f4270,f4397]) ).
fof(f4397,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f4395]) ).
fof(f4270,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f4268]) ).
fof(f4427,plain,
( spl0_195
| spl0_196
| spl0_193
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4420,f3724,f4412,f4425,f4422]) ).
fof(f4422,plain,
( spl0_195
<=> ! [X0] : c_0 = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f4425,plain,
( spl0_196
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_lessequals(c_1,c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f4412,plain,
( spl0_193
<=> ! [X11] : ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f3724,plain,
( spl0_99
<=> ! [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_99])]) ).
fof(f4420,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_1,c_0,X1)
| ~ class_Power_Orecpower(X1)
| c_0 = X0 )
| ~ spl0_99 ),
inference(forward_subsumption_demodulation,[],[f4404,f2357]) ).
fof(f2357,axiom,
! [X18,X1] :
( c_1 = c_Nat_Opower(X18,c_0,X1)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Orecpower__class_Oaxioms__1_0) ).
fof(f4404,plain,
( ! [X0,X11,X1] :
( c_0 = X0
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_Nat_Opower(X0,c_0,X1),c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_99 ),
inference(backward_subsumption_demodulation,[],[f2318,f3725]) ).
fof(f3725,plain,
( ! [X11] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f2318,axiom,
! [X0,X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = X0
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_1) ).
fof(f4419,plain,
( spl0_193
| spl0_194
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4415,f3724,f4417,f4412]) ).
fof(f4417,plain,
( spl0_194
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_1,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f4415,plain,
( ! [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_1,X1) )
| ~ spl0_99 ),
inference(forward_subsumption_demodulation,[],[f4403,f2357]) ).
fof(f4403,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Nat_Opower(X0,c_0,X1),X1) )
| ~ spl0_99 ),
inference(backward_subsumption_demodulation,[],[f2329,f3725]) ).
fof(f2329,axiom,
! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__le__power__eq__number__of_1) ).
fof(f4414,plain,
( spl0_192
| spl0_193
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f4407,f3724,f4412,f4409]) ).
fof(f4409,plain,
( spl0_192
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f4407,plain,
( ! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_1,c_0,X1) )
| ~ spl0_99 ),
inference(forward_subsumption_demodulation,[],[f4402,f2357]) ).
fof(f4402,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_less(c_Nat_Opower(X0,c_0,X1),c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_99 ),
inference(backward_subsumption_demodulation,[],[f2323,f3725]) ).
fof(f2323,axiom,
! [X0,X11,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)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__less__zero__eq__number__of_0) ).
fof(f4398,plain,
( spl0_191
| ~ spl0_140
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f4393,f3977,f3941,f4395]) ).
fof(f3977,plain,
( spl0_146
<=> 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_146])]) ).
fof(f4393,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_140
| ~ spl0_146 ),
inference(backward_demodulation,[],[f3979,f3943]) ).
fof(f3979,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f3977]) ).
fof(f4391,plain,
( spl0_190
| ~ spl0_19
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f4386,f4175,f3302,f4388]) ).
fof(f4388,plain,
( spl0_190
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f3302,plain,
( spl0_19
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f4175,plain,
( spl0_180
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4386,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_19
| ~ spl0_180 ),
inference(forward_demodulation,[],[f3304,f4177]) ).
fof(f4177,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4175]) ).
fof(f3304,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f3302]) ).
fof(f4385,plain,
( spl0_189
| ~ spl0_114
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f4380,f3999,f3801,f4382]) ).
fof(f4382,plain,
( spl0_189
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f3801,plain,
( spl0_114
<=> 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_114])]) ).
fof(f3999,plain,
( spl0_150
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f4380,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_114
| ~ spl0_150 ),
inference(forward_demodulation,[],[f3803,f4001]) ).
fof(f4001,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f3999]) ).
fof(f3803,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f3801]) ).
fof(f4379,plain,
( spl0_188
| ~ spl0_159
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f4374,f4175,f4047,f4376]) ).
fof(f4376,plain,
( spl0_188
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f4047,plain,
( spl0_159
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f4374,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_159
| ~ spl0_180 ),
inference(forward_demodulation,[],[f4049,f4177]) ).
fof(f4049,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f4047]) ).
fof(f4342,plain,
( spl0_187
| ~ spl0_104
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f4311,f3999,f3748,f4339]) ).
fof(f4339,plain,
( spl0_187
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f3748,plain,
( spl0_104
<=> 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_104])]) ).
fof(f4311,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_104
| ~ spl0_150 ),
inference(backward_demodulation,[],[f3750,f4001]) ).
fof(f3750,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f3748]) ).
fof(f4271,plain,
( spl0_186
| ~ spl0_53
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f4266,f3977,f3474,f4268]) ).
fof(f4266,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_53
| ~ spl0_146 ),
inference(backward_demodulation,[],[f3476,f3979]) ).
fof(f4240,plain,
( spl0_185
| spl0_140
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f4229,f3488,f3941,f4236]) ).
fof(f4236,plain,
( spl0_185
<=> ! [X47] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f3488,plain,
( spl0_56
<=> ! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f4229,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) )
| ~ spl0_56 ),
inference(backward_subsumption_demodulation,[],[f3066,f3489]) ).
fof(f3489,plain,
( ! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f3066,plain,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),tc_nat) ),
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/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f4239,plain,
( spl0_185
| spl0_180
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f4223,f3488,f4175,f4236]) ).
fof(f4223,plain,
( ! [X47] :
( c_0 = c_IntDef_Oint(c_0)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_56 ),
inference(backward_subsumption_demodulation,[],[f1851,f3489]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f4238,plain,
( spl0_184
| spl0_185
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f4227,f3488,f4236,f4233]) ).
fof(f4233,plain,
( spl0_184
<=> ! [X1] :
( c_0 = c_NatArith_Oof__nat(c_0,X1)
| ~ class_Numeral_Onumber__ring(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4227,plain,
( ! [X47,X1] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_NatArith_Oof__nat(c_0,X1)
| ~ class_Numeral_Onumber__ring(X1) )
| ~ spl0_56 ),
inference(backward_subsumption_demodulation,[],[f1868,f3489]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f4205,plain,
spl0_183,
inference(avatar_split_clause,[],[f167,f4202]) ).
fof(f4202,plain,
( spl0_183
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f4188,plain,
spl0_182,
inference(avatar_split_clause,[],[f231,f4185]) ).
fof(f4185,plain,
( spl0_182
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f4183,plain,
~ spl0_181,
inference(avatar_split_clause,[],[f2953,f4180]) ).
fof(f2953,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f4178,plain,
spl0_180,
inference(avatar_split_clause,[],[f1374,f4175]) ).
fof(f1374,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f4172,plain,
spl0_179,
inference(avatar_split_clause,[],[f144,f4169]) ).
fof(f4169,plain,
( spl0_179
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f144,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f4167,plain,
spl0_178,
inference(avatar_split_clause,[],[f1685,f4164]) ).
fof(f4164,plain,
( spl0_178
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1685,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f4162,plain,
spl0_177,
inference(avatar_split_clause,[],[f2106,f4159]) ).
fof(f4159,plain,
( spl0_177
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f2106,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f4157,plain,
( ~ spl0_115
| spl0_156 ),
inference(avatar_split_clause,[],[f2395,f4032,f3806]) ).
fof(f4032,plain,
( spl0_156
<=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f2395,axiom,
! [X1] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| c_0 != c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f4153,plain,
spl0_176,
inference(avatar_split_clause,[],[f139,f4150]) ).
fof(f4150,plain,
( spl0_176
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f139,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f4145,plain,
spl0_175,
inference(avatar_split_clause,[],[f4140,f4142]) ).
fof(f4142,plain,
( spl0_175
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4140,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f4139,plain,
spl0_174,
inference(avatar_split_clause,[],[f210,f4136]) ).
fof(f4136,plain,
( spl0_174
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f4134,plain,
spl0_173,
inference(avatar_split_clause,[],[f182,f4131]) ).
fof(f4131,plain,
( spl0_173
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f182,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f4122,plain,
spl0_172,
inference(avatar_split_clause,[],[f134,f4119]) ).
fof(f4119,plain,
( spl0_172
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f134,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f4117,plain,
spl0_171,
inference(avatar_split_clause,[],[f230,f4114]) ).
fof(f4114,plain,
( spl0_171
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f4112,plain,
spl0_170,
inference(avatar_split_clause,[],[f211,f4109]) ).
fof(f4109,plain,
( spl0_170
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f211,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f4107,plain,
~ spl0_169,
inference(avatar_split_clause,[],[f2629,f4104]) ).
fof(f4104,plain,
( spl0_169
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f2629,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f4101,plain,
spl0_168,
inference(avatar_split_clause,[],[f155,f4098]) ).
fof(f4098,plain,
( spl0_168
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f4096,plain,
~ spl0_144,
inference(avatar_split_clause,[],[f2732,f3962]) ).
fof(f3962,plain,
( spl0_144
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f2732,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3_0) ).
fof(f4093,plain,
spl0_167,
inference(avatar_split_clause,[],[f1679,f4090]) ).
fof(f4090,plain,
( spl0_167
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1679,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f4088,plain,
spl0_166,
inference(avatar_split_clause,[],[f153,f4085]) ).
fof(f4085,plain,
( spl0_166
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f153,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f4083,plain,
( ~ spl0_115
| spl0_165 ),
inference(avatar_split_clause,[],[f4070,f4081,f3806]) ).
fof(f4081,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f4070,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(backward_subsumption_demodulation,[],[f1976,f2089]) ).
fof(f2089,axiom,
! [X21] :
( c_less(c_0,X21,tc_nat)
| c_0 = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f4079,plain,
( spl0_163
| ~ spl0_115
| spl0_164 ),
inference(avatar_split_clause,[],[f4072,f4077,f3806,f4074]) ).
fof(f4074,plain,
( spl0_163
<=> ! [X11] : c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f4077,plain,
( spl0_164
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f4072,plain,
! [X11,X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_1
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f4071,f2357]) ).
fof(f4071,plain,
! [X11,X18,X1] :
( c_0 != c_Nat_Opower(X18,c_0,X1)
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ),
inference(backward_subsumption_demodulation,[],[f2314,f2089]) ).
fof(f2314,axiom,
! [X11,X18,X1] :
( c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 != c_Nat_Opower(X18,c_Numeral_Onumber__of(X11,tc_nat),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__eq__0__iff__number__of_1) ).
fof(f4069,plain,
spl0_162,
inference(avatar_split_clause,[],[f189,f4066]) ).
fof(f4066,plain,
( spl0_162
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f189,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f4063,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f2160,f3342]) ).
fof(f3342,plain,
( spl0_27
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2160,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f4062,plain,
spl0_161,
inference(avatar_split_clause,[],[f1678,f4059]) ).
fof(f4059,plain,
( spl0_161
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1678,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f4057,plain,
spl0_155,
inference(avatar_split_clause,[],[f2049,f4026]) ).
fof(f2049,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f4055,plain,
spl0_160,
inference(avatar_split_clause,[],[f140,f4052]) ).
fof(f4052,plain,
( spl0_160
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f140,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f4050,plain,
spl0_159,
inference(avatar_split_clause,[],[f1391,f4047]) ).
fof(f1391,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f4045,plain,
~ spl0_158,
inference(avatar_split_clause,[],[f2310,f4042]) ).
fof(f4042,plain,
( spl0_158
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f2310,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f4039,plain,
spl0_157,
inference(avatar_split_clause,[],[f2290,f4036]) ).
fof(f4036,plain,
( spl0_157
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f2290,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f4034,plain,
( ~ spl0_115
| spl0_156 ),
inference(avatar_split_clause,[],[f2498,f4032,f3806]) ).
fof(f2498,axiom,
! [X1] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| c_0 != c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f4029,plain,
spl0_155,
inference(avatar_split_clause,[],[f4024,f4026]) ).
fof(f4024,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f4023,plain,
spl0_154,
inference(avatar_split_clause,[],[f216,f4020]) ).
fof(f4020,plain,
( spl0_154
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f216,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f4018,plain,
spl0_153,
inference(avatar_split_clause,[],[f177,f4015]) ).
fof(f4015,plain,
( spl0_153
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f4013,plain,
spl0_152,
inference(avatar_split_clause,[],[f142,f4010]) ).
fof(f4010,plain,
( spl0_152
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f142,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f4008,plain,
~ spl0_87,
inference(avatar_split_clause,[],[f2903,f3660]) ).
fof(f3660,plain,
( spl0_87
<=> c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2903,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__1_0) ).
fof(f4007,plain,
spl0_151,
inference(avatar_split_clause,[],[f1686,f4004]) ).
fof(f4004,plain,
( spl0_151
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1686,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f4002,plain,
spl0_150,
inference(avatar_split_clause,[],[f2156,f3999]) ).
fof(f2156,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3996,plain,
spl0_149,
inference(avatar_split_clause,[],[f133,f3993]) ).
fof(f3993,plain,
( spl0_149
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f133,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3990,plain,
spl0_148,
inference(avatar_split_clause,[],[f183,f3987]) ).
fof(f3987,plain,
( spl0_148
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3985,plain,
spl0_147,
inference(avatar_split_clause,[],[f2164,f3982]) ).
fof(f3982,plain,
( spl0_147
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f2164,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3980,plain,
spl0_146,
inference(avatar_split_clause,[],[f2980,f3977]) ).
fof(f2980,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/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3973,plain,
~ spl0_145,
inference(avatar_split_clause,[],[f2772,f3970]) ).
fof(f3970,plain,
( spl0_145
<=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f2772,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0) ).
fof(f3965,plain,
~ spl0_144,
inference(avatar_split_clause,[],[f2733,f3962]) ).
fof(f2733,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4_0) ).
fof(f3960,plain,
spl0_143,
inference(avatar_split_clause,[],[f213,f3957]) ).
fof(f3957,plain,
( spl0_143
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f213,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3955,plain,
spl0_142,
inference(avatar_split_clause,[],[f154,f3952]) ).
fof(f3952,plain,
( spl0_142
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3949,plain,
spl0_141,
inference(avatar_split_clause,[],[f222,f3946]) ).
fof(f3946,plain,
( spl0_141
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f222,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3944,plain,
spl0_140,
inference(avatar_split_clause,[],[f2957,f3941]) ).
fof(f2957,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/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3939,plain,
spl0_139,
inference(avatar_split_clause,[],[f171,f3936]) ).
fof(f3936,plain,
( spl0_139
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3934,plain,
spl0_138,
inference(avatar_split_clause,[],[f198,f3931]) ).
fof(f3931,plain,
( spl0_138
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f198,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3928,plain,
spl0_137,
inference(avatar_split_clause,[],[f2155,f3925]) ).
fof(f3925,plain,
( spl0_137
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2155,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3922,plain,
spl0_136,
inference(avatar_split_clause,[],[f186,f3919]) ).
fof(f3919,plain,
( spl0_136
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f186,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3917,plain,
spl0_135,
inference(avatar_split_clause,[],[f2534,f3914]) ).
fof(f3914,plain,
( spl0_135
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2534,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3912,plain,
spl0_134,
inference(avatar_split_clause,[],[f1688,f3909]) ).
fof(f3909,plain,
( spl0_134
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1688,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3907,plain,
spl0_53,
inference(avatar_split_clause,[],[f3114,f3474]) ).
fof(f3114,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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3906,plain,
spl0_133,
inference(avatar_split_clause,[],[f1680,f3903]) ).
fof(f3903,plain,
( spl0_133
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1680,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3901,plain,
~ spl0_132,
inference(avatar_split_clause,[],[f2946,f3898]) ).
fof(f3898,plain,
( spl0_132
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2946,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3894,plain,
spl0_131,
inference(avatar_split_clause,[],[f1184,f3891]) ).
fof(f3891,plain,
( spl0_131
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1184,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3889,plain,
spl0_130,
inference(avatar_split_clause,[],[f1371,f3886]) ).
fof(f3886,plain,
( spl0_130
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1371,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3884,plain,
spl0_129,
inference(avatar_split_clause,[],[f2737,f3881]) ).
fof(f3881,plain,
( spl0_129
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2737,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__1_0) ).
fof(f3879,plain,
spl0_128,
inference(avatar_split_clause,[],[f203,f3876]) ).
fof(f3876,plain,
( spl0_128
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f203,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3874,plain,
spl0_127,
inference(avatar_split_clause,[],[f234,f3871]) ).
fof(f3871,plain,
( spl0_127
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3868,plain,
spl0_126,
inference(avatar_split_clause,[],[f1255,f3865]) ).
fof(f3865,plain,
( spl0_126
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1255,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3863,plain,
spl0_125,
inference(avatar_split_clause,[],[f148,f3860]) ).
fof(f3860,plain,
( spl0_125
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f148,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3858,plain,
~ spl0_124,
inference(avatar_split_clause,[],[f2950,f3855]) ).
fof(f2950,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3853,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f2948,f3850]) ).
fof(f3850,plain,
( spl0_123
<=> 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_123])]) ).
fof(f2948,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3848,plain,
spl0_122,
inference(avatar_split_clause,[],[f170,f3845]) ).
fof(f3845,plain,
( spl0_122
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3843,plain,
spl0_121,
inference(avatar_split_clause,[],[f2972,f3840]) ).
fof(f3840,plain,
( spl0_121
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f2972,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f2126,f2129]) ).
fof(f2129,axiom,
! [X11] : c_Numeral_Obin__minus(X11) = c_Numeral_Obin__mult(c_Numeral_OMin,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f2126,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3837,plain,
spl0_120,
inference(avatar_split_clause,[],[f156,f3834]) ).
fof(f3834,plain,
( spl0_120
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3832,plain,
spl0_119,
inference(avatar_split_clause,[],[f194,f3829]) ).
fof(f3829,plain,
( spl0_119
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3826,plain,
spl0_118,
inference(avatar_split_clause,[],[f1866,f3823]) ).
fof(f3823,plain,
( spl0_118
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1866,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f3821,plain,
spl0_117,
inference(avatar_split_clause,[],[f208,f3818]) ).
fof(f3818,plain,
( spl0_117
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f208,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3815,plain,
spl0_116,
inference(avatar_split_clause,[],[f1682,f3812]) ).
fof(f3812,plain,
( spl0_116
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1682,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3809,plain,
~ spl0_115,
inference(avatar_split_clause,[],[f1370,f3806]) ).
fof(f1370,axiom,
c_0 != c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3804,plain,
spl0_114,
inference(avatar_split_clause,[],[f1867,f3801]) ).
fof(f1867,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3799,plain,
spl0_113,
inference(avatar_split_clause,[],[f221,f3796]) ).
fof(f3796,plain,
( spl0_113
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3794,plain,
spl0_112,
inference(avatar_split_clause,[],[f158,f3791]) ).
fof(f3791,plain,
( spl0_112
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3787,plain,
spl0_111,
inference(avatar_split_clause,[],[f2163,f3784]) ).
fof(f3784,plain,
( spl0_111
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f2163,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3782,plain,
~ spl0_110,
inference(avatar_split_clause,[],[f2947,f3779]) ).
fof(f3779,plain,
( spl0_110
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2947,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3777,plain,
~ spl0_71,
inference(avatar_split_clause,[],[f1251,f3572]) ).
fof(f3572,plain,
( spl0_71
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1251,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3776,plain,
spl0_109,
inference(avatar_split_clause,[],[f126,f3773]) ).
fof(f3773,plain,
( spl0_109
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3771,plain,
spl0_108,
inference(avatar_split_clause,[],[f149,f3768]) ).
fof(f3768,plain,
( spl0_108
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f149,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3766,plain,
spl0_107,
inference(avatar_split_clause,[],[f164,f3763]) ).
fof(f3763,plain,
( spl0_107
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3761,plain,
( spl0_106
| spl0_99 ),
inference(avatar_split_clause,[],[f3757,f3724,f3759]) ).
fof(f3759,plain,
( spl0_106
<=> ! [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_106])]) ).
fof(f3757,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)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_0,c_0,X1) ),
inference(forward_subsumption_demodulation,[],[f2332,f2312]) ).
fof(f2312,axiom,
! [X11,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)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f2332,axiom,
! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3756,plain,
spl0_105,
inference(avatar_split_clause,[],[f180,f3753]) ).
fof(f3753,plain,
( spl0_105
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3751,plain,
spl0_104,
inference(avatar_split_clause,[],[f2996,f3748]) ).
fof(f2996,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/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3746,plain,
spl0_103,
inference(avatar_split_clause,[],[f2303,f3743]) ).
fof(f3743,plain,
( spl0_103
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f2303,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3741,plain,
spl0_102,
inference(avatar_split_clause,[],[f184,f3738]) ).
fof(f3738,plain,
( spl0_102
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f184,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3736,plain,
spl0_101,
inference(avatar_split_clause,[],[f1350,f3733]) ).
fof(f3733,plain,
( spl0_101
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1350,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3731,plain,
spl0_100,
inference(avatar_split_clause,[],[f209,f3728]) ).
fof(f3728,plain,
( spl0_100
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f209,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3726,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f3718,f3724,f3721]) ).
fof(f3721,plain,
( spl0_98
<=> ! [X1] :
( c_lessequals(c_0,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f3718,plain,
! [X11,X1] :
( c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| c_lessequals(c_0,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) ),
inference(backward_subsumption_demodulation,[],[f2322,f2312]) ).
fof(f2322,axiom,
! [X11,X1] :
( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3717,plain,
spl0_97,
inference(avatar_split_clause,[],[f157,f3714]) ).
fof(f3714,plain,
( spl0_97
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3712,plain,
spl0_96,
inference(avatar_split_clause,[],[f124,f3709]) ).
fof(f3709,plain,
( spl0_96
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3705,plain,
spl0_95,
inference(avatar_split_clause,[],[f145,f3702]) ).
fof(f3702,plain,
( spl0_95
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f145,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3700,plain,
spl0_94,
inference(avatar_split_clause,[],[f2907,f3697]) ).
fof(f3697,plain,
( spl0_94
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f2907,axiom,
c_0 = c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Okeymode_Osize__1_0) ).
fof(f3694,plain,
spl0_93,
inference(avatar_split_clause,[],[f1675,f3691]) ).
fof(f3691,plain,
( spl0_93
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1675,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3689,plain,
spl0_92,
inference(avatar_split_clause,[],[f2743,f3686]) ).
fof(f3686,plain,
( spl0_92
<=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f2743,axiom,
c_emptyset = c_Message_OkeysFor(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__empty_0) ).
fof(f3683,plain,
spl0_91,
inference(avatar_split_clause,[],[f2528,f3680]) ).
fof(f3680,plain,
( spl0_91
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f2528,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3678,plain,
spl0_90,
inference(avatar_split_clause,[],[f2773,f3675]) ).
fof(f2773,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0) ).
fof(f3673,plain,
~ spl0_89,
inference(avatar_split_clause,[],[f2090,f3670]) ).
fof(f3670,plain,
( spl0_89
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f2090,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3668,plain,
spl0_88,
inference(avatar_split_clause,[],[f212,f3665]) ).
fof(f3665,plain,
( spl0_88
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f212,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3663,plain,
~ spl0_87,
inference(avatar_split_clause,[],[f2904,f3660]) ).
fof(f2904,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__2_0) ).
fof(f3658,plain,
spl0_86,
inference(avatar_split_clause,[],[f220,f3655]) ).
fof(f3655,plain,
( spl0_86
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f220,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3652,plain,
spl0_85,
inference(avatar_split_clause,[],[f215,f3649]) ).
fof(f3649,plain,
( spl0_85
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f215,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3647,plain,
spl0_84,
inference(avatar_split_clause,[],[f2954,f3644]) ).
fof(f2954,axiom,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3642,plain,
spl0_83,
inference(avatar_split_clause,[],[f1386,f3639]) ).
fof(f3639,plain,
( spl0_83
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1386,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3635,plain,
spl0_82,
inference(avatar_split_clause,[],[f131,f3632]) ).
fof(f3632,plain,
( spl0_82
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f131,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3629,plain,
spl0_81,
inference(avatar_split_clause,[],[f147,f3626]) ).
fof(f3626,plain,
( spl0_81
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f147,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3624,plain,
spl0_80,
inference(avatar_split_clause,[],[f236,f3621]) ).
fof(f3621,plain,
( spl0_80
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3619,plain,
( spl0_55
| spl0_56 ),
inference(avatar_split_clause,[],[f3618,f3488,f3485]) ).
fof(f3485,plain,
( spl0_55
<=> ! [X83] : ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f3618,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f3210,f1833]) ).
fof(f1833,axiom,
! [X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_2) ).
fof(f3210,plain,
! [X83,X47] :
( ~ c_IntDef_Oiszero(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_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f1837]) ).
fof(f1837,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_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3617,plain,
~ spl0_79,
inference(avatar_split_clause,[],[f1309,f3614]) ).
fof(f3614,plain,
( spl0_79
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1309,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3611,plain,
spl0_78,
inference(avatar_split_clause,[],[f136,f3608]) ).
fof(f3608,plain,
( spl0_78
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f136,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3606,plain,
spl0_77,
inference(avatar_split_clause,[],[f2949,f3603]) ).
fof(f2949,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3600,plain,
spl0_76,
inference(avatar_split_clause,[],[f2956,f3597]) ).
fof(f2956,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3595,plain,
spl0_75,
inference(avatar_split_clause,[],[f1683,f3592]) ).
fof(f3592,plain,
( spl0_75
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1683,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3590,plain,
spl0_74,
inference(avatar_split_clause,[],[f235,f3587]) ).
fof(f3587,plain,
( spl0_74
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3585,plain,
spl0_73,
inference(avatar_split_clause,[],[f2043,f3582]) ).
fof(f3582,plain,
( spl0_73
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f2043,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3580,plain,
spl0_72,
inference(avatar_split_clause,[],[f2770,f3577]) ).
fof(f2770,axiom,
c_emptyset = c_Message_Oparts(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).
fof(f3575,plain,
~ spl0_71,
inference(avatar_split_clause,[],[f1250,f3572]) ).
fof(f1250,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3570,plain,
spl0_70,
inference(avatar_split_clause,[],[f3182,f3567]) ).
fof(f3567,plain,
( spl0_70
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3182,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).
fof(f3565,plain,
spl0_69,
inference(avatar_split_clause,[],[f214,f3562]) ).
fof(f3562,plain,
( spl0_69
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f214,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3560,plain,
spl0_68,
inference(avatar_split_clause,[],[f176,f3557]) ).
fof(f3557,plain,
( spl0_68
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3555,plain,
spl0_67,
inference(avatar_split_clause,[],[f241,f3552]) ).
fof(f3552,plain,
( spl0_67
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3548,plain,
spl0_56,
inference(avatar_split_clause,[],[f1832,f3488]) ).
fof(f1832,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/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_1) ).
fof(f3547,plain,
spl0_66,
inference(avatar_split_clause,[],[f233,f3544]) ).
fof(f3544,plain,
( spl0_66
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3542,plain,
( spl0_65
| spl0_56 ),
inference(avatar_split_clause,[],[f3538,f3488,f3540]) ).
fof(f3540,plain,
( spl0_65
<=> ! [X47] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f3538,plain,
! [X83,X47] :
( c_0 = 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(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1841,f1833]) ).
fof(f1841,axiom,
! [X83,X47] :
( ~ 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_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3537,plain,
spl0_64,
inference(avatar_split_clause,[],[f168,f3534]) ).
fof(f3534,plain,
( spl0_64
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3530,plain,
spl0_63,
inference(avatar_split_clause,[],[f3035,f3527]) ).
fof(f3527,plain,
( spl0_63
<=> 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_63])]) ).
fof(f3035,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/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3525,plain,
spl0_62,
inference(avatar_split_clause,[],[f1673,f3522]) ).
fof(f3522,plain,
( spl0_62
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1673,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3520,plain,
spl0_61,
inference(avatar_split_clause,[],[f229,f3517]) ).
fof(f3517,plain,
( spl0_61
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3515,plain,
spl0_56,
inference(avatar_split_clause,[],[f1848,f3488]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f3514,plain,
spl0_60,
inference(avatar_split_clause,[],[f132,f3511]) ).
fof(f3511,plain,
( spl0_60
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f132,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3509,plain,
spl0_59,
inference(avatar_split_clause,[],[f2105,f3506]) ).
fof(f3506,plain,
( spl0_59
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2105,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3504,plain,
spl0_58,
inference(avatar_split_clause,[],[f1674,f3501]) ).
fof(f3501,plain,
( spl0_58
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1674,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3495,plain,
spl0_57,
inference(avatar_split_clause,[],[f161,f3492]) ).
fof(f3492,plain,
( spl0_57
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3490,plain,
( spl0_55
| spl0_56 ),
inference(avatar_split_clause,[],[f3483,f3488,f3485]) ).
fof(f3483,plain,
! [X83,X47] :
( ~ 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_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1843,f1833]) ).
fof(f1843,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(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3482,plain,
spl0_54,
inference(avatar_split_clause,[],[f2853,f3479]) ).
fof(f2853,axiom,
c_emptyset = c_Message_Oanalz(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__empty_0) ).
fof(f3477,plain,
spl0_53,
inference(avatar_split_clause,[],[f3041,f3474]) ).
fof(f3041,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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3472,plain,
spl0_52,
inference(avatar_split_clause,[],[f219,f3469]) ).
fof(f3469,plain,
( spl0_52
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f219,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3467,plain,
spl0_51,
inference(avatar_split_clause,[],[f162,f3464]) ).
fof(f3464,plain,
( spl0_51
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3460,plain,
spl0_50,
inference(avatar_split_clause,[],[f226,f3457]) ).
fof(f3457,plain,
( spl0_50
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3455,plain,
spl0_49,
inference(avatar_split_clause,[],[f2952,f3452]) ).
fof(f2952,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3450,plain,
spl0_48,
inference(avatar_split_clause,[],[f232,f3447]) ).
fof(f3447,plain,
( spl0_48
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3445,plain,
spl0_47,
inference(avatar_split_clause,[],[f1684,f3442]) ).
fof(f3442,plain,
( spl0_47
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1684,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3440,plain,
spl0_46,
inference(avatar_split_clause,[],[f2739,f3437]) ).
fof(f3437,plain,
( spl0_46
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2739,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__3_0) ).
fof(f3435,plain,
spl0_45,
inference(avatar_split_clause,[],[f1677,f3432]) ).
fof(f3432,plain,
( spl0_45
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1677,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3430,plain,
spl0_44,
inference(avatar_split_clause,[],[f181,f3427]) ).
fof(f3427,plain,
( spl0_44
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3425,plain,
spl0_43,
inference(avatar_split_clause,[],[f143,f3422]) ).
fof(f3422,plain,
( spl0_43
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f143,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3420,plain,
spl0_42,
inference(avatar_split_clause,[],[f159,f3417]) ).
fof(f3417,plain,
( spl0_42
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3415,plain,
spl0_41,
inference(avatar_split_clause,[],[f1479,f3412]) ).
fof(f3412,plain,
( spl0_41
<=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1479,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left_1) ).
fof(f3410,plain,
spl0_40,
inference(avatar_split_clause,[],[f146,f3407]) ).
fof(f3407,plain,
( spl0_40
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f146,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3405,plain,
spl0_39,
inference(avatar_split_clause,[],[f1254,f3402]) ).
fof(f3402,plain,
( spl0_39
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1254,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3400,plain,
spl0_38,
inference(avatar_split_clause,[],[f1681,f3397]) ).
fof(f3397,plain,
( spl0_38
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1681,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3395,plain,
spl0_37,
inference(avatar_split_clause,[],[f218,f3392]) ).
fof(f3392,plain,
( spl0_37
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f218,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3390,plain,
spl0_36,
inference(avatar_split_clause,[],[f2951,f3387]) ).
fof(f2951,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3385,plain,
spl0_35,
inference(avatar_split_clause,[],[f195,f3382]) ).
fof(f3382,plain,
( spl0_35
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3380,plain,
spl0_34,
inference(avatar_split_clause,[],[f165,f3377]) ).
fof(f3377,plain,
( spl0_34
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3375,plain,
spl0_33,
inference(avatar_split_clause,[],[f2567,f3372]) ).
fof(f3372,plain,
( spl0_33
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2567,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3370,plain,
spl0_32,
inference(avatar_split_clause,[],[f135,f3367]) ).
fof(f3367,plain,
( spl0_32
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f135,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3365,plain,
spl0_31,
inference(avatar_split_clause,[],[f172,f3362]) ).
fof(f3362,plain,
( spl0_31
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3360,plain,
spl0_30,
inference(avatar_split_clause,[],[f178,f3357]) ).
fof(f3357,plain,
( spl0_30
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3355,plain,
spl0_29,
inference(avatar_split_clause,[],[f138,f3352]) ).
fof(f3352,plain,
( spl0_29
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f138,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3350,plain,
spl0_28,
inference(avatar_split_clause,[],[f223,f3347]) ).
fof(f3347,plain,
( spl0_28
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f223,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3345,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f2159,f3342]) ).
fof(f2159,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3340,plain,
spl0_26,
inference(avatar_split_clause,[],[f3206,f3337]) ).
fof(f3337,plain,
( spl0_26
<=> c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f3206,plain,
c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1228,f2544,f2544]) ).
fof(f1228,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).
fof(f3335,plain,
spl0_25,
inference(avatar_split_clause,[],[f169,f3332]) ).
fof(f3332,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3330,plain,
spl0_24,
inference(avatar_split_clause,[],[f242,f3327]) ).
fof(f3327,plain,
( spl0_24
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3325,plain,
spl0_23,
inference(avatar_split_clause,[],[f224,f3322]) ).
fof(f3322,plain,
( spl0_23
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f224,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3320,plain,
spl0_22,
inference(avatar_split_clause,[],[f151,f3317]) ).
fof(f3317,plain,
( spl0_22
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f151,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3315,plain,
spl0_21,
inference(avatar_split_clause,[],[f2955,f3312]) ).
fof(f2955,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3310,plain,
spl0_20,
inference(avatar_split_clause,[],[f228,f3307]) ).
fof(f3307,plain,
( spl0_20
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3305,plain,
spl0_19,
inference(avatar_split_clause,[],[f1377,f3302]) ).
fof(f1377,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3300,plain,
spl0_18,
inference(avatar_split_clause,[],[f130,f3297]) ).
fof(f3297,plain,
( spl0_18
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f130,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3295,plain,
spl0_17,
inference(avatar_split_clause,[],[f243,f3292]) ).
fof(f3292,plain,
( spl0_17
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3290,plain,
spl0_16,
inference(avatar_split_clause,[],[f1687,f3287]) ).
fof(f3287,plain,
( spl0_16
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1687,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3285,plain,
spl0_15,
inference(avatar_split_clause,[],[f174,f3282]) ).
fof(f3282,plain,
( spl0_15
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3280,plain,
spl0_14,
inference(avatar_split_clause,[],[f137,f3277]) ).
fof(f3277,plain,
( spl0_14
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f137,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3275,plain,
spl0_13,
inference(avatar_split_clause,[],[f1676,f3272]) ).
fof(f3272,plain,
( spl0_13
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1676,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3270,plain,
spl0_12,
inference(avatar_split_clause,[],[f173,f3267]) ).
fof(f3267,plain,
( spl0_12
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3265,plain,
spl0_11,
inference(avatar_split_clause,[],[f160,f3262]) ).
fof(f3262,plain,
( spl0_11
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3260,plain,
spl0_10,
inference(avatar_split_clause,[],[f2908,f3257]) ).
fof(f3257,plain,
( spl0_10
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2908,axiom,
c_0 = c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Okeymode_Osize__2_0) ).
fof(f3255,plain,
spl0_9,
inference(avatar_split_clause,[],[f227,f3252]) ).
fof(f3252,plain,
( spl0_9
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3250,plain,
spl0_8,
inference(avatar_split_clause,[],[f239,f3247]) ).
fof(f3247,plain,
( spl0_8
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f239,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3245,plain,
spl0_7,
inference(avatar_split_clause,[],[f244,f3242]) ).
fof(f3242,plain,
( spl0_7
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3240,plain,
spl0_6,
inference(avatar_split_clause,[],[f166,f3237]) ).
fof(f3237,plain,
( spl0_6
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3235,plain,
spl0_5,
inference(avatar_split_clause,[],[f225,f3232]) ).
fof(f3232,plain,
( spl0_5
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3230,plain,
spl0_4,
inference(avatar_split_clause,[],[f150,f3227]) ).
fof(f3227,plain,
( spl0_4
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f150,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3225,plain,
spl0_3,
inference(avatar_split_clause,[],[f238,f3222]) ).
fof(f3222,plain,
( spl0_3
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f238,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3220,plain,
spl0_2,
inference(avatar_split_clause,[],[f217,f3217]) ).
fof(f3217,plain,
( spl0_2
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f217,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3215,plain,
spl0_1,
inference(avatar_split_clause,[],[f175,f3212]) ).
fof(f3212,plain,
( spl0_1
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV342-1 : 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:42:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 % (19981)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)
% 1.18/0.60 % (19973)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)
% 1.18/0.61 % (19965)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)
% 1.31/0.62 % (19962)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)
% 1.31/0.62 % (19982)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)
% 1.38/0.63 % (19969)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.38/0.63 % (19970)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)
% 1.38/0.64 % (19983)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.38/0.64 % (19977)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.38/0.64 % (19963)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.38/0.64 % (19964)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)
% 1.38/0.64 % (19978)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)
% 1.38/0.65 % (19959)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)
% 1.38/0.65 % (19961)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)
% 1.38/0.65 % (19975)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)
% 1.38/0.65 % (19987)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.38/0.65 % (19960)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)
% 1.38/0.65 % (19988)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)
% 1.38/0.65 % (19967)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.38/0.65 % (19967)Instruction limit reached!
% 1.38/0.65 % (19967)------------------------------
% 1.38/0.65 % (19967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.65 % (19967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.65 % (19967)Termination reason: Unknown
% 1.38/0.65 % (19967)Termination phase: shuffling
% 1.38/0.65
% 1.38/0.65 % (19967)Memory used [KB]: 3454
% 1.38/0.65 % (19967)Time elapsed: 0.003 s
% 1.38/0.65 % (19967)Instructions burned: 2 (million)
% 1.38/0.65 % (19967)------------------------------
% 1.38/0.65 % (19967)------------------------------
% 1.38/0.66 % (19986)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)
% 1.38/0.66 % (19979)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)
% 1.38/0.66 % (19980)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.38/0.66 % (19985)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)
% 1.38/0.66 % (19984)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.38/0.66 % (19974)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)
% 1.38/0.66 % (19968)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)
% 1.38/0.66 % (19972)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.38/0.66 % (19971)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.38/0.67 % (19976)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.38/0.67 % (19966)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.38/0.69 % (19962)Instruction limit reached!
% 1.38/0.69 % (19962)------------------------------
% 1.38/0.69 % (19962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.69 % (19966)Instruction limit reached!
% 1.38/0.69 % (19966)------------------------------
% 1.38/0.69 % (19966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.69 % (19966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.69 % (19966)Termination reason: Unknown
% 1.38/0.69 % (19966)Termination phase: Function definition elimination
% 1.38/0.69
% 1.38/0.69 % (19966)Memory used [KB]: 3837
% 1.38/0.69 % (19966)Time elapsed: 0.007 s
% 1.38/0.69 % (19966)Instructions burned: 7 (million)
% 1.38/0.69 % (19966)------------------------------
% 1.38/0.69 % (19966)------------------------------
% 1.38/0.69 % (19965)Instruction limit reached!
% 1.38/0.69 % (19965)------------------------------
% 1.38/0.69 % (19965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.69 % (19965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.69 % (19965)Termination reason: Unknown
% 1.38/0.69 % (19965)Termination phase: Finite model building preprocessing
% 1.38/0.69
% 1.38/0.69 % (19965)Memory used [KB]: 4477
% 1.38/0.69 % (19965)Time elapsed: 0.037 s
% 1.38/0.69 % (19965)Instructions burned: 52 (million)
% 1.38/0.69 % (19965)------------------------------
% 1.38/0.69 % (19965)------------------------------
% 1.38/0.70 % (19969)Instruction limit reached!
% 1.38/0.70 % (19969)------------------------------
% 1.38/0.70 % (19969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.70 % (19962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.70 % (19962)Termination reason: Unknown
% 1.38/0.70 % (19962)Termination phase: Saturation
% 1.38/0.70
% 1.38/0.70 % (19962)Memory used [KB]: 8955
% 1.38/0.70 % (19962)Time elapsed: 0.028 s
% 1.38/0.70 % (19962)Instructions burned: 51 (million)
% 1.38/0.70 % (19962)------------------------------
% 1.38/0.70 % (19962)------------------------------
% 1.96/0.71 % (19969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.71 % (19969)Termination reason: Unknown
% 1.96/0.71 % (19969)Termination phase: Saturation
% 1.96/0.71
% 1.96/0.71 % (19969)Memory used [KB]: 8699
% 1.96/0.71 % (19969)Time elapsed: 0.027 s
% 1.96/0.71 % (19969)Instructions burned: 50 (million)
% 1.96/0.71 % (19969)------------------------------
% 1.96/0.71 % (19969)------------------------------
% 1.96/0.73 % (19960)Instruction limit reached!
% 1.96/0.73 % (19960)------------------------------
% 1.96/0.73 % (19960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.73 % (19963)Instruction limit reached!
% 1.96/0.73 % (19963)------------------------------
% 1.96/0.73 % (19963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.73 % (19964)Instruction limit reached!
% 1.96/0.73 % (19964)------------------------------
% 1.96/0.73 % (19964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.73 % (19961)Instruction limit reached!
% 1.96/0.73 % (19961)------------------------------
% 1.96/0.73 % (19961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.73 % (19960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.73 % (19960)Termination reason: Unknown
% 1.96/0.73 % (19960)Termination phase: Saturation
% 1.96/0.73
% 1.96/0.73 % (19960)Memory used [KB]: 8955
% 1.96/0.73 % (19960)Time elapsed: 0.038 s
% 1.96/0.73 % (19960)Instructions burned: 51 (million)
% 1.96/0.73 % (19960)------------------------------
% 1.96/0.73 % (19960)------------------------------
% 1.96/0.73 % (19973)Instruction limit reached!
% 1.96/0.73 % (19973)------------------------------
% 1.96/0.73 % (19973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.73 % (19973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.73 % (19973)Termination reason: Unknown
% 1.96/0.73 % (19973)Termination phase: Saturation
% 1.96/0.73
% 1.96/0.73 % (19973)Memory used [KB]: 10746
% 1.96/0.73 % (19973)Time elapsed: 0.053 s
% 1.96/0.73 % (19973)Instructions burned: 68 (million)
% 1.96/0.73 % (19973)------------------------------
% 1.96/0.73 % (19973)------------------------------
% 1.96/0.75 % (19963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.75 % (19963)Termination reason: Unknown
% 1.96/0.75 % (19963)Termination phase: Property scanning
% 1.96/0.75
% 1.96/0.75 % (19963)Memory used [KB]: 3965
% 1.96/0.75 % (19963)Time elapsed: 0.029 s
% 1.96/0.75 % (19963)Instructions burned: 51 (million)
% 1.96/0.75 % (19963)------------------------------
% 1.96/0.75 % (19963)------------------------------
% 1.96/0.75 % (19964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.75 % (19964)Termination reason: Unknown
% 1.96/0.75 % (19964)Termination phase: Saturation
% 1.96/0.75
% 1.96/0.75 % (19964)Memory used [KB]: 8571
% 1.96/0.75 % (19964)Time elapsed: 0.026 s
% 1.96/0.75 % (19964)Instructions burned: 49 (million)
% 1.96/0.75 % (19964)------------------------------
% 1.96/0.75 % (19964)------------------------------
% 1.96/0.75 % (19961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.75 % (19961)Termination reason: Unknown
% 1.96/0.75 % (19961)Termination phase: Property scanning
% 1.96/0.75
% 1.96/0.75 % (19961)Memory used [KB]: 3965
% 1.96/0.75 % (19961)Time elapsed: 0.024 s
% 1.96/0.75 % (19961)Instructions burned: 39 (million)
% 1.96/0.75 % (19961)------------------------------
% 1.96/0.75 % (19961)------------------------------
% 1.96/0.75 % (19968)Instruction limit reached!
% 1.96/0.75 % (19968)------------------------------
% 1.96/0.75 % (19968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.75 % (19968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.75 % (19968)Termination reason: Unknown
% 1.96/0.75 % (19968)Termination phase: Saturation
% 1.96/0.75
% 1.96/0.75 % (19968)Memory used [KB]: 4477
% 1.96/0.75 % (19968)Time elapsed: 0.029 s
% 1.96/0.75 % (19968)Instructions burned: 52 (million)
% 1.96/0.75 % (19968)------------------------------
% 1.96/0.75 % (19968)------------------------------
% 1.96/0.77 % (19976)Instruction limit reached!
% 1.96/0.77 % (19976)------------------------------
% 1.96/0.77 % (19976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.77 % (19976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.77 % (19976)Termination reason: Unknown
% 1.96/0.77 % (19976)Termination phase: Blocked clause elimination
% 1.96/0.77
% 1.96/0.77 % (19976)Memory used [KB]: 4605
% 1.96/0.77 % (19976)Time elapsed: 0.031 s
% 1.96/0.77 % (19976)Instructions burned: 60 (million)
% 1.96/0.77 % (19976)------------------------------
% 1.96/0.77 % (19976)------------------------------
% 1.96/0.77 % (19974)Instruction limit reached!
% 1.96/0.77 % (19974)------------------------------
% 1.96/0.77 % (19974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.77 % (19974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.77 % (19974)Termination reason: Unknown
% 1.96/0.77 % (19974)Termination phase: Saturation
% 1.96/0.77
% 1.96/0.77 % (19974)Memory used [KB]: 4605
% 1.96/0.77 % (19974)Time elapsed: 0.054 s
% 1.96/0.77 % (19974)Instructions burned: 76 (million)
% 1.96/0.77 % (19974)------------------------------
% 1.96/0.77 % (19974)------------------------------
% 2.47/0.79 % (19989)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)
% 2.47/0.80 % (19985)Instruction limit reached!
% 2.47/0.80 % (19985)------------------------------
% 2.47/0.80 % (19985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.80 % (19985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.80 % (19985)Termination reason: Unknown
% 2.47/0.80 % (19985)Termination phase: Saturation
% 2.47/0.80
% 2.47/0.80 % (19985)Memory used [KB]: 10874
% 2.47/0.80 % (19985)Time elapsed: 0.037 s
% 2.47/0.80 % (19985)Instructions burned: 68 (million)
% 2.47/0.80 % (19985)------------------------------
% 2.47/0.80 % (19985)------------------------------
% 2.47/0.81 % (19977)Instruction limit reached!
% 2.47/0.81 % (19977)------------------------------
% 2.47/0.81 % (19977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.81 % (19977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.81 % (19977)Termination reason: Unknown
% 2.47/0.81 % (19977)Termination phase: Saturation
% 2.47/0.81
% 2.47/0.81 % (19977)Memory used [KB]: 9850
% 2.47/0.81 % (19977)Time elapsed: 0.062 s
% 2.47/0.81 % (19977)Instructions burned: 100 (million)
% 2.47/0.81 % (19977)------------------------------
% 2.47/0.81 % (19977)------------------------------
% 2.47/0.81 % (19975)Instruction limit reached!
% 2.47/0.81 % (19975)------------------------------
% 2.47/0.81 % (19975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.81 % (19975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.81 % (19975)Termination reason: Unknown
% 2.47/0.81 % (19975)Termination phase: Saturation
% 2.47/0.81
% 2.47/0.81 % (19975)Memory used [KB]: 9083
% 2.47/0.81 % (19975)Time elapsed: 0.282 s
% 2.47/0.81 % (19975)Instructions burned: 100 (million)
% 2.47/0.81 % (19975)------------------------------
% 2.47/0.81 % (19975)------------------------------
% 2.47/0.82 % (19991)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)
% 2.47/0.82 % (19990)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 (2996ds/211Mi)
% 2.47/0.83 % (19970)Instruction limit reached!
% 2.47/0.83 % (19970)------------------------------
% 2.47/0.83 % (19970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.83 % (19992)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.47/0.84 % (19978)Instruction limit reached!
% 2.47/0.84 % (19978)------------------------------
% 2.47/0.84 % (19978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.84 % (19993)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.47/0.85 % (19971)Instruction limit reached!
% 2.47/0.85 % (19971)------------------------------
% 2.47/0.85 % (19971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.85 % (19971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.85 % (19971)Termination reason: Unknown
% 2.47/0.85 % (19971)Termination phase: Saturation
% 2.47/0.85
% 2.47/0.85 % (19971)Memory used [KB]: 9722
% 2.47/0.85 % (19971)Time elapsed: 0.065 s
% 2.47/0.85 % (19971)Instructions burned: 102 (million)
% 2.47/0.85 % (19971)------------------------------
% 2.47/0.85 % (19971)------------------------------
% 2.47/0.85 % (19978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.85 % (19978)Termination reason: Unknown
% 2.47/0.85 % (19978)Termination phase: Saturation
% 2.47/0.85
% 2.47/0.85 % (19978)Memory used [KB]: 4861
% 2.47/0.85 % (19978)Time elapsed: 0.073 s
% 2.47/0.85 % (19978)Instructions burned: 100 (million)
% 2.47/0.85 % (19978)------------------------------
% 2.47/0.85 % (19978)------------------------------
% 2.47/0.85 % (19970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.85 % (19970)Termination reason: Unknown
% 2.47/0.85 % (19970)Termination phase: Saturation
% 2.47/0.85
% 2.47/0.85 % (19970)Memory used [KB]: 9722
% 2.47/0.85 % (19970)Time elapsed: 0.082 s
% 2.47/0.85 % (19970)Instructions burned: 100 (million)
% 2.47/0.85 % (19970)------------------------------
% 2.47/0.85 % (19970)------------------------------
% 2.47/0.85 % (19972)Instruction limit reached!
% 2.47/0.85 % (19972)------------------------------
% 2.47/0.85 % (19972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.85 % (19972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.85 % (19972)Termination reason: Unknown
% 2.47/0.85 % (19972)Termination phase: Saturation
% 2.47/0.85
% 2.47/0.85 % (19972)Memory used [KB]: 9594
% 2.47/0.85 % (19972)Time elapsed: 0.058 s
% 2.47/0.85 % (19972)Instructions burned: 100 (million)
% 2.47/0.85 % (19972)------------------------------
% 2.47/0.85 % (19972)------------------------------
% 2.47/0.86 % (19995)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)
% 2.91/0.87 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.91/0.87 % (19998)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)
% 2.91/0.88 % (19994)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)
% 2.91/0.88 % (20001)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 2.91/0.88 % (19997)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)
% 2.91/0.89 % (19999)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)
% 2.94/0.90 % (19996)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)
% 2.94/0.91 % (20000)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 (2995ds/2016Mi)
% 3.05/0.93 % (19980)Instruction limit reached!
% 3.05/0.93 % (19980)------------------------------
% 3.05/0.93 % (19980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.93 % (19980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.93 % (19980)Termination reason: Unknown
% 3.05/0.93 % (19980)Termination phase: Saturation
% 3.05/0.93
% 3.05/0.93 % (19980)Memory used [KB]: 10234
% 3.05/0.93 % (19980)Time elapsed: 0.083 s
% 3.05/0.93 % (19980)Instructions burned: 138 (million)
% 3.05/0.93 % (19980)------------------------------
% 3.05/0.93 % (19980)------------------------------
% 3.05/0.93 % (20002)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)
% 3.05/0.94 % (20003)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)
% 3.05/0.95 % (20004)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.05/0.95 % (19991)Instruction limit reached!
% 3.05/0.95 % (19991)------------------------------
% 3.05/0.95 % (19991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.95 % (19991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.95 % (19991)Termination reason: Unknown
% 3.05/0.95 % (19991)Termination phase: Saturation
% 3.05/0.95
% 3.05/0.95 % (19991)Memory used [KB]: 9083
% 3.05/0.95 % (19991)Time elapsed: 0.225 s
% 3.05/0.95 % (19991)Instructions burned: 90 (million)
% 3.05/0.95 % (19991)------------------------------
% 3.05/0.95 % (19991)------------------------------
% 3.05/0.96 % (19986)Instruction limit reached!
% 3.05/0.96 % (19986)------------------------------
% 3.05/0.96 % (19986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.96 % (19986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.96 % (19986)Termination reason: Unknown
% 3.05/0.96 % (19986)Termination phase: Saturation
% 3.05/0.96
% 3.05/0.96 % (19986)Memory used [KB]: 6012
% 3.05/0.96 % (19986)Time elapsed: 0.427 s
% 3.05/0.96 % (19986)Instructions burned: 177 (million)
% 3.05/0.96 % (19986)------------------------------
% 3.05/0.96 % (19986)------------------------------
% 3.05/0.97 % (20007)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 (2994ds/1824Mi)
% 3.05/0.97 % (19979)Instruction limit reached!
% 3.05/0.97 % (19979)------------------------------
% 3.05/0.97 % (19979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.97 % (19979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.97 % (19979)Termination reason: Unknown
% 3.05/0.97 % (19979)Termination phase: Saturation
% 3.05/0.97
% 3.05/0.97 % (19979)Memory used [KB]: 10362
% 3.05/0.97 % (19979)Time elapsed: 0.106 s
% 3.05/0.97 % (19979)Instructions burned: 177 (million)
% 3.05/0.97 % (19979)------------------------------
% 3.05/0.97 % (19979)------------------------------
% 3.05/0.98 % (20006)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)
% 3.05/0.99 % (20008)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)
% 3.05/0.99 % (20005)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)
% 3.32/1.03 % (19999)Instruction limit reached!
% 3.32/1.03 % (19999)------------------------------
% 3.32/1.03 % (19999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/1.03 % (19999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/1.03 % (19999)Termination reason: Unknown
% 3.32/1.03 % (19999)Termination phase: Saturation
% 3.32/1.03
% 3.32/1.03 % (19999)Memory used [KB]: 8955
% 3.32/1.03 % (19999)Time elapsed: 0.042 s
% 3.32/1.03 % (19999)Instructions burned: 90 (million)
% 3.32/1.03 % (19999)------------------------------
% 3.32/1.03 % (19999)------------------------------
% 3.32/1.05 % (20010)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 3.32/1.06 % (19996)Instruction limit reached!
% 3.32/1.06 % (19996)------------------------------
% 3.32/1.06 % (19996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/1.06 % (19996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/1.06 % (19996)Termination reason: Unknown
% 3.32/1.06 % (19996)Termination phase: Saturation
% 3.32/1.06
% 3.32/1.06 % (19996)Memory used [KB]: 10874
% 3.32/1.06 % (19996)Time elapsed: 0.038 s
% 3.32/1.06 % (19996)Instructions burned: 69 (million)
% 3.32/1.06 % (19996)------------------------------
% 3.32/1.06 % (19996)------------------------------
% 3.32/1.06 % (20009)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.59/1.09 % (20011)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)
% 3.59/1.11 % (20012)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)
% 3.59/1.11 % (20006)Instruction limit reached!
% 3.59/1.11 % (20006)------------------------------
% 3.59/1.11 % (20006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.59/1.11 % (20006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.59/1.11 % (20006)Termination reason: Unknown
% 3.59/1.11 % (20006)Termination phase: Saturation
% 3.59/1.11
% 3.59/1.11 % (20006)Memory used [KB]: 10874
% 3.59/1.11 % (20006)Time elapsed: 0.035 s
% 3.59/1.11 % (20006)Instructions burned: 70 (million)
% 3.59/1.11 % (20006)------------------------------
% 3.59/1.11 % (20006)------------------------------
% 5.68/1.19 % (20014)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 (2992ds/9965Mi)
% 5.91/1.20 % (20013)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.91/1.20 % (20011)Instruction limit reached!
% 5.91/1.20 % (20011)------------------------------
% 5.91/1.20 % (20011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.91/1.20 % (20011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.91/1.20 % (20011)Termination reason: Unknown
% 5.91/1.20 % (20011)Termination phase: Saturation
% 5.91/1.20
% 5.91/1.20 % (20011)Memory used [KB]: 8955
% 5.91/1.20 % (20011)Time elapsed: 0.110 s
% 5.91/1.20 % (20011)Instructions burned: 90 (million)
% 5.91/1.20 % (20011)------------------------------
% 5.91/1.20 % (20011)------------------------------
% 6.11/1.23 % (19990)Instruction limit reached!
% 6.11/1.23 % (19990)------------------------------
% 6.11/1.23 % (19990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.23 % (19990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.23 % (19990)Termination reason: Unknown
% 6.11/1.23 % (19990)Termination phase: Saturation
% 6.11/1.23
% 6.11/1.24 % (19990)Memory used [KB]: 6396
% 6.11/1.24 % (19990)Time elapsed: 0.496 s
% 6.11/1.24 % (19990)Instructions burned: 212 (million)
% 6.11/1.24 % (19990)------------------------------
% 6.11/1.24 % (19990)------------------------------
% 6.11/1.26 % (20015)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)
% 6.83/1.34 % (20016)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)
% 6.83/1.35 % (19988)Instruction limit reached!
% 6.83/1.35 % (19988)------------------------------
% 6.83/1.35 % (19988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.83/1.35 % (19988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.83/1.35 % (19988)Termination reason: Unknown
% 6.83/1.35 % (19988)Termination phase: Saturation
% 6.83/1.35
% 6.83/1.35 % (19988)Memory used [KB]: 12409
% 6.83/1.35 % (19988)Time elapsed: 0.836 s
% 6.83/1.35 % (19988)Instructions burned: 356 (million)
% 6.83/1.35 % (19988)------------------------------
% 6.83/1.35 % (19988)------------------------------
% 6.83/1.35 % (19981)Instruction limit reached!
% 6.83/1.35 % (19981)------------------------------
% 6.83/1.35 % (19981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.83/1.35 % (19981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.83/1.35 % (19981)Termination reason: Unknown
% 6.83/1.35 % (19981)Termination phase: Saturation
% 6.83/1.35
% 6.83/1.35 % (19981)Memory used [KB]: 6012
% 6.83/1.35 % (19981)Time elapsed: 0.805 s
% 6.83/1.35 % (19981)Instructions burned: 498 (million)
% 6.83/1.35 % (19981)------------------------------
% 6.83/1.35 % (19981)------------------------------
% 6.83/1.37 % (20017)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 (2991ds/1824Mi)
% 7.81/1.47 % (19989)Instruction limit reached!
% 7.81/1.47 % (19989)------------------------------
% 7.81/1.47 % (19989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.81/1.47 % (19989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.81/1.47 % (19989)Termination reason: Unknown
% 7.81/1.47 % (19989)Termination phase: Saturation
% 7.81/1.47
% 7.81/1.47 % (19989)Memory used [KB]: 11385
% 7.81/1.47 % (19989)Time elapsed: 0.764 s
% 7.81/1.47 % (19989)Instructions burned: 390 (million)
% 7.81/1.47 % (19989)------------------------------
% 7.81/1.47 % (19989)------------------------------
% 7.83/1.48 % (19982)Instruction limit reached!
% 7.83/1.48 % (19982)------------------------------
% 7.83/1.48 % (19982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.83/1.48 % (19982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.83/1.48 % (19982)Termination reason: Unknown
% 7.83/1.48 % (19982)Termination phase: Saturation
% 7.83/1.48
% 7.83/1.48 % (19982)Memory used [KB]: 13816
% 7.83/1.48 % (19982)Time elapsed: 0.953 s
% 7.83/1.48 % (19982)Instructions burned: 468 (million)
% 7.83/1.48 % (19982)------------------------------
% 7.83/1.48 % (19982)------------------------------
% 7.83/1.48 % (19987)Instruction limit reached!
% 7.83/1.48 % (19987)------------------------------
% 7.83/1.48 % (19987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.83/1.48 % (19987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.83/1.48 % (19987)Termination reason: Unknown
% 7.83/1.48 % (19987)Termination phase: Saturation
% 7.83/1.48
% 7.83/1.48 % (19987)Memory used [KB]: 14072
% 7.83/1.48 % (19987)Time elapsed: 0.966 s
% 7.83/1.48 % (19987)Instructions burned: 439 (million)
% 7.83/1.48 % (19987)------------------------------
% 7.83/1.48 % (19987)------------------------------
% 7.83/1.49 % (20018)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.06/1.50 % (20019)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.26/1.61 % (20020)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 (2988ds/90Mi)
% 8.26/1.62 % (20021)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)
% 8.83/1.64 % (19983)Instruction limit reached!
% 8.83/1.64 % (19983)------------------------------
% 8.83/1.64 % (19983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.83/1.64 % (19983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.83/1.64 % (19983)Termination reason: Unknown
% 8.83/1.64 % (19983)Termination phase: Saturation
% 8.83/1.64
% 8.83/1.64 % (19983)Memory used [KB]: 13048
% 8.83/1.64 % (19983)Time elapsed: 0.827 s
% 8.83/1.64 % (19983)Instructions burned: 482 (million)
% 8.83/1.64 % (19983)------------------------------
% 8.83/1.64 % (19983)------------------------------
% 8.83/1.64 % (20022)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)
% 8.83/1.64 % (19984)Instruction limit reached!
% 8.83/1.64 % (19984)------------------------------
% 8.83/1.64 % (19984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.83/1.64 % (19984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.83/1.64 % (19984)Termination reason: Unknown
% 8.83/1.64 % (19984)Termination phase: Saturation
% 8.83/1.64
% 8.83/1.64 % (19984)Memory used [KB]: 13176
% 8.83/1.64 % (19984)Time elapsed: 1.113 s
% 8.83/1.64 % (19984)Instructions burned: 501 (million)
% 8.83/1.64 % (19984)------------------------------
% 8.83/1.64 % (19984)------------------------------
% 8.83/1.66 TRYING [1]
% 9.28/1.75 % (20020)Instruction limit reached!
% 9.28/1.75 % (20020)------------------------------
% 9.28/1.75 % (20020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.28/1.75 % (20020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.28/1.75 % (20020)Termination reason: Unknown
% 9.28/1.75 % (20020)Termination phase: Saturation
% 9.28/1.75
% 9.28/1.75 % (20020)Memory used [KB]: 8827
% 9.28/1.75 % (20020)Time elapsed: 0.244 s
% 9.28/1.75 % (20020)Instructions burned: 90 (million)
% 9.28/1.75 % (20020)------------------------------
% 9.28/1.75 % (20020)------------------------------
% 9.28/1.77 % (20023)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)
% 10.42/1.78 % (20024)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 (2987ds/32293Mi)
% 10.83/1.90 % (20025)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)
% 11.50/1.95 % (19995)Instruction limit reached!
% 11.50/1.95 % (19995)------------------------------
% 11.50/1.95 % (19995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.50/1.95 % (19995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.50/1.95 % (19995)Termination reason: Unknown
% 11.50/1.95 % (19995)Termination phase: Saturation
% 11.50/1.95
% 11.50/1.95 % (19995)Memory used [KB]: 6396
% 11.50/1.95 % (19995)Time elapsed: 1.197 s
% 11.50/1.95 % (19995)Instructions burned: 656 (million)
% 11.50/1.95 % (19995)------------------------------
% 11.50/1.95 % (19995)------------------------------
% 13.02/2.12 % (20034)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)
% 16.21/2.56 % (19993)Instruction limit reached!
% 16.21/2.56 % (19993)------------------------------
% 16.21/2.56 % (19993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.21/2.56 % (19993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.21/2.56 % (19993)Termination reason: Unknown
% 16.21/2.56 % (19993)Termination phase: Saturation
% 16.21/2.56
% 16.21/2.56 % (19993)Memory used [KB]: 24178
% 16.21/2.56 % (19993)Time elapsed: 1.814 s
% 16.21/2.56 % (19993)Instructions burned: 935 (million)
% 16.21/2.56 % (19993)------------------------------
% 16.21/2.56 % (19993)------------------------------
% 16.21/2.57 % (19994)Instruction limit reached!
% 16.21/2.57 % (19994)------------------------------
% 16.21/2.57 % (19994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.21/2.57 % (19994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.21/2.57 % (19994)Termination reason: Unknown
% 16.21/2.57 % (19994)Termination phase: Saturation
% 16.21/2.57
% 16.21/2.57 % (19994)Memory used [KB]: 14583
% 16.21/2.57 % (19994)Time elapsed: 1.801 s
% 16.21/2.57 % (19994)Instructions burned: 747 (million)
% 16.21/2.57 % (19994)------------------------------
% 16.21/2.57 % (19994)------------------------------
% 16.95/2.63 % (19997)Instruction limit reached!
% 16.95/2.63 % (19997)------------------------------
% 16.95/2.63 % (19997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.95/2.64 % (19997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.95/2.64 % (19997)Termination reason: Unknown
% 16.95/2.64 % (19997)Termination phase: Saturation
% 16.95/2.64
% 16.95/2.64 % (19997)Memory used [KB]: 14967
% 16.95/2.64 % (19997)Time elapsed: 1.855 s
% 16.95/2.64 % (19997)Instructions burned: 940 (million)
% 16.95/2.64 % (19997)------------------------------
% 16.95/2.64 % (19997)------------------------------
% 17.80/2.76 % (20035)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 (2977ds/29337Mi)
% 18.46/2.81 % (20036)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 (2977ds/10147Mi)
% 18.46/2.82 % (20037)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/38056Mi)
% 18.46/2.85 % (19998)Instruction limit reached!
% 18.46/2.85 % (19998)------------------------------
% 18.46/2.85 % (19998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.46/2.85 % (19998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.46/2.85 % (19998)Termination reason: Unknown
% 18.46/2.85 % (19998)Termination phase: Saturation
% 18.46/2.85
% 18.46/2.85 % (19998)Memory used [KB]: 24050
% 18.46/2.85 % (19998)Time elapsed: 2.080 s
% 18.46/2.85 % (19998)Instructions burned: 981 (million)
% 18.46/2.85 % (19998)------------------------------
% 18.46/2.85 % (19998)------------------------------
% 18.46/2.86 % (19992)Instruction limit reached!
% 18.46/2.86 % (19992)------------------------------
% 18.46/2.86 % (19992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.46/2.86 % (19992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.46/2.86 % (19992)Termination reason: Unknown
% 18.46/2.86 % (19992)Termination phase: Saturation
% 18.46/2.86
% 18.46/2.86 % (19992)Memory used [KB]: 26481
% 18.46/2.86 % (19992)Time elapsed: 2.071 s
% 18.46/2.86 % (19992)Instructions burned: 921 (million)
% 18.46/2.86 % (19992)------------------------------
% 18.46/2.86 % (19992)------------------------------
% 18.46/2.88 % (20007)First to succeed.
% 19.45/2.91 % (20007)Refutation found. Thanks to Tanya!
% 19.45/2.91 % SZS status Unsatisfiable for theBenchmark
% 19.45/2.91 % SZS output start Proof for theBenchmark
% See solution above
% 19.45/2.92 % (20007)------------------------------
% 19.45/2.92 % (20007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.45/2.92 % (20007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.45/2.92 % (20007)Termination reason: Refutation
% 19.45/2.92
% 19.45/2.92 % (20007)Memory used [KB]: 14456
% 19.45/2.92 % (20007)Time elapsed: 1.902 s
% 19.45/2.92 % (20007)Instructions burned: 1117 (million)
% 19.45/2.92 % (20007)------------------------------
% 19.45/2.92 % (20007)------------------------------
% 19.45/2.92 % (19958)Success in time 2.558 s
%------------------------------------------------------------------------------