TSTP Solution File: SWV344-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV344-1 : 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 : n024.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 18:56:30 EDT 2022
% Result : Unsatisfiable 20.39s 3.07s
% Output : Refutation 20.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 506
% Syntax : Number of formulae : 968 ( 397 unt; 0 def)
% Number of atoms : 1707 ( 296 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 1237 ( 498 ~; 480 |; 0 &)
% ( 259 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 324 ( 322 usr; 260 prp; 0-3 aty)
% Number of functors : 103 ( 103 usr; 57 con; 0-3 aty)
% Number of variables : 373 ( 373 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9708,plain,
$false,
inference(avatar_smt_refutation,[],[f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3251,f3256,f3261,f3266,f3271,f3276,f3281,f3286,f3291,f3296,f3301,f3306,f3311,f3316,f3321,f3326,f3331,f3336,f3341,f3346,f3351,f3356,f3361,f3366,f3371,f3376,f3384,f3389,f3394,f3399,f3404,f3409,f3414,f3419,f3425,f3430,f3435,f3440,f3445,f3451,f3456,f3461,f3466,f3471,f3476,f3481,f3486,f3491,f3496,f3501,f3506,f3511,f3516,f3521,f3526,f3531,f3536,f3540,f3545,f3550,f3555,f3562,f3567,f3572,f3577,f3582,f3590,f3595,f3600,f3601,f3606,f3611,f3616,f3621,f3626,f3632,f3637,f3642,f3647,f3652,f3658,f3663,f3668,f3674,f3679,f3684,f3689,f3694,f3699,f3704,f3709,f3714,f3719,f3720,f3725,f3731,f3737,f3743,f3744,f3751,f3764,f3769,f3770,f3774,f3779,f3784,f3789,f3794,f3799,f3804,f3811,f3816,f3822,f3830,f3836,f3841,f3847,f3848,f3853,f3858,f3863,f3871,f3877,f3882,f3887,f3894,f3899,f3904,f3909,f3914,f3919,f3925,f3931,f3933,f3938,f3943,f3948,f3954,f3955,f3960,f3966,f3971,f3977,f3987,f3993,f3995,f4001,f4006,f4013,f4018,f4023,f4028,f4035,f4040,f4045,f4050,f4055,f4060,f4065,f4070,f4077,f4084,f4090,f4097,f4102,f4108,f4113,f4119,f4125,f4130,f4135,f4140,f4141,f4146,f4153,f4158,f4165,f4172,f4177,f4183,f4193,f4199,f4204,f4212,f4219,f4222,f4254,f4260,f4323,f4380,f4386,f4392,f4398,f4412,f4423,f4428,f4457,f4471,f4480,f4556,f4671,f4772,f4777,f4791,f4863,f4877,f4891,f4931,f5754,f5758,f5812,f7934,f7935,f7936,f7937,f7955,f7956,f7957,f7958,f7967,f7977,f7996,f8025,f8043,f8053,f8061,f8066,f8073,f8174,f8200,f8206,f8263,f8300,f8305,f8310,f8312,f8313,f8319,f8339,f8349,f8360,f8428,f8436,f8441,f8641,f8647,f8881,f8885,f9426,f9506,f9514,f9528,f9533,f9538,f9539,f9544,f9546,f9553,f9558,f9616,f9706,f9707]) ).
fof(f9707,plain,
( spl0_123
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f9700,f9535,f3844]) ).
fof(f3844,plain,
( spl0_123
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f9535,plain,
( spl0_254
<=> 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_254])]) ).
fof(f9700,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_254 ),
inference(resolution,[],[f9537,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(f9537,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_254 ),
inference(avatar_component_clause,[],[f9535]) ).
fof(f9706,plain,
( spl0_259
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f9701,f9535,f9703]) ).
fof(f9703,plain,
( spl0_259
<=> 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_259])]) ).
fof(f9701,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_254 ),
inference(resolution,[],[f9537,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(f9616,plain,
( spl0_258
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f9611,f4668,f9613]) ).
fof(f9613,plain,
( spl0_258
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f4668,plain,
( spl0_203
<=> 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_203])]) ).
fof(f9611,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_203 ),
inference(forward_demodulation,[],[f9588,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(f9588,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg)
| ~ spl0_203 ),
inference(resolution,[],[f4978,f4670]) ).
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_203 ),
inference(avatar_component_clause,[],[f4668]) ).
fof(f4978,plain,
! [X18,X16,X17] :
( ~ c_in(c_Message_Omsg_OMPair(X18,X16),X17,tc_Message_Omsg)
| c_in(X16,c_Message_Oparts(X17),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f4973,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(f4973,plain,
! [X18,X16,X17] :
( c_in(X16,c_Message_Oanalz(c_Message_Oparts(X17)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X18,X16),X17,tc_Message_Omsg) ),
inference(resolution,[],[f4500,f2767]) ).
fof(f2767,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f4500,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f2833,f2847]) ).
fof(f2847,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f2833,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X87,c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f9558,plain,
( spl0_257
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f9547,f9525,f9555]) ).
fof(f9555,plain,
( spl0_257
<=> c_in(c_Message_Omsg_OAgent(v_A),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f9525,plain,
( spl0_252
<=> 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_252])]) ).
fof(f9547,plain,
( c_in(c_Message_Omsg_OAgent(v_A),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_252 ),
inference(resolution,[],[f9527,f2774]) ).
fof(f9527,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_252 ),
inference(avatar_component_clause,[],[f9525]) ).
fof(f9553,plain,
( spl0_256
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f9548,f9525,f9550]) ).
fof(f9550,plain,
( spl0_256
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_A),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f9548,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_A),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_252 ),
inference(resolution,[],[f9527,f2870]) ).
fof(f9546,plain,
( spl0_254
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9545,f9503,f9535]) ).
fof(f9503,plain,
( spl0_250
<=> 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_250])]) ).
fof(f9545,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_250 ),
inference(forward_demodulation,[],[f9522,f2862]) ).
fof(f9522,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_250 ),
inference(resolution,[],[f9505,f4500]) ).
fof(f9505,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_250 ),
inference(avatar_component_clause,[],[f9503]) ).
fof(f9544,plain,
( spl0_255
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9520,f9503,f9541]) ).
fof(f9541,plain,
( spl0_255
<=> 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_255])]) ).
fof(f9520,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_250 ),
inference(resolution,[],[f9505,f2870]) ).
fof(f9539,plain,
( spl0_252
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9517,f9503,f9525]) ).
fof(f9517,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_250 ),
inference(resolution,[],[f9505,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(f9538,plain,
( spl0_254
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9518,f9503,f9535]) ).
fof(f9518,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_250 ),
inference(resolution,[],[f9505,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(f9533,plain,
( spl0_253
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9519,f9503,f9530]) ).
fof(f9530,plain,
( spl0_253
<=> 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_253])]) ).
fof(f9519,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_250 ),
inference(resolution,[],[f9505,f2774]) ).
fof(f9528,plain,
( spl0_252
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9523,f9503,f9525]) ).
fof(f9523,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_250 ),
inference(forward_demodulation,[],[f9521,f2862]) ).
fof(f9521,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_250 ),
inference(resolution,[],[f9505,f4503]) ).
fof(f4503,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f2834,f2847]) ).
fof(f2834,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oanalz(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oanalz(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f9514,plain,
( spl0_251
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f9509,f4774,f9511]) ).
fof(f9511,plain,
( spl0_251
<=> 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_251])]) ).
fof(f4774,plain,
( spl0_205
<=> 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_205])]) ).
fof(f9509,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_205 ),
inference(forward_demodulation,[],[f9483,f2869]) ).
fof(f9483,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_205 ),
inference(resolution,[],[f4817,f4776]) ).
fof(f4776,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_205 ),
inference(avatar_component_clause,[],[f4774]) ).
fof(f4817,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(f9506,plain,
( spl0_250
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f9501,f4769,f9503]) ).
fof(f4769,plain,
( spl0_204
<=> 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_204])]) ).
fof(f9501,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_204 ),
inference(forward_demodulation,[],[f9482,f2869]) ).
fof(f9482,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_204 ),
inference(resolution,[],[f4817,f4771]) ).
fof(f4771,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_204 ),
inference(avatar_component_clause,[],[f4769]) ).
fof(f9426,plain,
( spl0_249
| spl0_56
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9406,f4257,f3728,f3493,f9424]) ).
fof(f9424,plain,
( spl0_249
<=> ! [X23] : c_Nat_Osize(c_Message_Omsg_OHash(X23),tc_Message_Omsg) != c_Nat_Osize(X23,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f3493,plain,
( spl0_56
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f3728,plain,
( spl0_102
<=> 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_102])]) ).
fof(f4257,plain,
( spl0_188
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f9406,plain,
( ! [X23] :
( c_0 = c_1
| c_Nat_Osize(c_Message_Omsg_OHash(X23),tc_Message_Omsg) != c_Nat_Osize(X23,tc_Message_Omsg) )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f5104,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_102
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4236,f4259]) ).
fof(f4259,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f4257]) ).
fof(f4236,plain,
( ! [X96] : c_Nat_Osize(c_Message_Omsg_OHash(X96),tc_Message_Omsg) = c_plus(c_Nat_Osize(X96,tc_Message_Omsg),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_102 ),
inference(backward_demodulation,[],[f3099,f3730]) ).
fof(f3730,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f3728]) ).
fof(f3099,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(f5104,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(f8885,plain,
( spl0_56
| spl0_248
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f8875,f4257,f3728,f8883,f3493]) ).
fof(f8883,plain,
( spl0_248
<=> ! [X6,X7,X8] : c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)) != c_Nat_Osize(X6,tc_List_Olist(X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f8875,plain,
( ! [X8,X6,X7] :
( c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)) != c_Nat_Osize(X6,tc_List_Olist(X7))
| c_0 = c_1 )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f5104,f4429]) ).
fof(f4429,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_102
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4224,f4259]) ).
fof(f4224,plain,
( ! [X18,X1,X64] : c_Nat_Osize(c_List_Olist_OCons(X18,X64,X1),tc_List_Olist(X1)) = c_plus(c_Nat_Osize(X64,tc_List_Olist(X1)),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_102 ),
inference(backward_demodulation,[],[f2981,f3730]) ).
fof(f2981,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(f8881,plain,
( spl0_247
| spl0_56
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f8876,f4257,f3728,f3493,f8879]) ).
fof(f8879,plain,
( spl0_247
<=> ! [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_247])]) ).
fof(f8876,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_102
| ~ spl0_188 ),
inference(superposition,[],[f5104,f4439]) ).
fof(f4439,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_102
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4235,f4259]) ).
fof(f4235,plain,
( ! [X98,X99] : c_Nat_Osize(c_Message_Omsg_OMPair(X98,X99),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X98,tc_Message_Omsg),c_Nat_Osize(X99,tc_Message_Omsg),tc_nat),c_IntDef_Onat(c_1),tc_nat)
| ~ spl0_102 ),
inference(backward_demodulation,[],[f3089,f3730]) ).
fof(f3089,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(f8647,plain,
( spl0_246
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f8632,f4860,f8644]) ).
fof(f8644,plain,
( spl0_246
<=> 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_246])]) ).
fof(f4860,plain,
( spl0_207
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f8632,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_207 ),
inference(resolution,[],[f4862,f2774]) ).
fof(f4862,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f4860]) ).
fof(f8641,plain,
( spl0_245
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f8633,f4860,f8638]) ).
fof(f8638,plain,
( spl0_245
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f8633,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_207 ),
inference(resolution,[],[f4862,f2870]) ).
fof(f8441,plain,
( spl0_244
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f8431,f8316,f8438]) ).
fof(f8438,plain,
( spl0_244
<=> 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_244])]) ).
fof(f8316,plain,
( spl0_238
<=> 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_238])]) ).
fof(f8431,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_238 ),
inference(resolution,[],[f8318,f2870]) ).
fof(f8318,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_238 ),
inference(avatar_component_clause,[],[f8316]) ).
fof(f8436,plain,
( spl0_243
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f8430,f8316,f8433]) ).
fof(f8433,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(f8430,plain,
( c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_238 ),
inference(resolution,[],[f8318,f2774]) ).
fof(f8428,plain,
( spl0_242
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f8426,f8336,f8346]) ).
fof(f8346,plain,
( spl0_242
<=> c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f8336,plain,
( spl0_240
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f8426,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_240 ),
inference(resolution,[],[f8338,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(f8338,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f8336]) ).
fof(f8360,plain,
~ spl0_242,
inference(avatar_contradiction_clause,[],[f8359]) ).
fof(f8359,plain,
( $false
| ~ spl0_242 ),
inference(resolution,[],[f8348,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(f8348,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f8346]) ).
fof(f8349,plain,
( spl0_241
| spl0_242
| ~ spl0_171
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f8322,f4468,f4122,f8346,f8343]) ).
fof(f8343,plain,
( spl0_241
<=> ! [X0] : c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f4122,plain,
( spl0_171
<=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f4468,plain,
( spl0_200
<=> v_K = c_Message_OinvKey(v_K) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f8322,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OKey(v_K),c_emptyset,tc_Message_Omsg)
| c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(v_K,X0),c_emptyset,tc_Message_Omsg)) )
| ~ spl0_171
| ~ spl0_200 ),
inference(superposition,[],[f6936,f4124]) ).
fof(f4124,plain,
( c_emptyset = c_Message_Oanalz(c_emptyset)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f4122]) ).
fof(f6936,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_200 ),
inference(superposition,[],[f2849,f4470]) ).
fof(f4470,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f4468]) ).
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(f8339,plain,
( spl0_239
| spl0_240
| ~ spl0_200
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f8330,f4874,f4468,f8336,f8333]) ).
fof(f8333,plain,
( spl0_239
<=> ! [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_239])]) ).
fof(f4874,plain,
( spl0_208
<=> c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f8330,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_200
| ~ spl0_208 ),
inference(superposition,[],[f6936,f4876]) ).
fof(f4876,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f4874]) ).
fof(f8319,plain,
( spl0_238
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f8314,f8302,f8316]) ).
fof(f8302,plain,
( spl0_236
<=> 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_236])]) ).
fof(f8314,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_236 ),
inference(resolution,[],[f8304,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(f8304,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_236 ),
inference(avatar_component_clause,[],[f8302]) ).
fof(f8313,plain,
( spl0_235
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8291,f4668,f8297]) ).
fof(f8297,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(f8291,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_203 ),
inference(resolution,[],[f4670,f2833]) ).
fof(f8312,plain,
( spl0_236
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8311,f4668,f8302]) ).
fof(f8311,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_203 ),
inference(forward_demodulation,[],[f8293,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(f8293,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_203 ),
inference(resolution,[],[f4670,f4503]) ).
fof(f8310,plain,
( spl0_237
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8292,f4668,f8307]) ).
fof(f8307,plain,
( spl0_237
<=> 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_237])]) ).
fof(f8292,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_203 ),
inference(resolution,[],[f4670,f2852]) ).
fof(f8305,plain,
( spl0_236
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8290,f4668,f8302]) ).
fof(f8290,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_203 ),
inference(resolution,[],[f4670,f2834]) ).
fof(f8300,plain,
( spl0_235
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8295,f4668,f8297]) ).
fof(f8295,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_203 ),
inference(forward_demodulation,[],[f8294,f2854]) ).
fof(f8294,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_203 ),
inference(resolution,[],[f4670,f4500]) ).
fof(f8263,plain,
( spl0_233
| spl0_234
| ~ spl0_71
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f8252,f4257,f3728,f3569,f8260,f8257]) ).
fof(f8257,plain,
( spl0_233
<=> ! [X2] : ~ c_lessequals(c_1,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f8260,plain,
( spl0_234
<=> c_lessequals(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3569,plain,
( spl0_71
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f8252,plain,
( ! [X2] :
( c_lessequals(c_1,c_1,tc_nat)
| ~ c_lessequals(c_1,X2,tc_nat) )
| ~ spl0_71
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f4447,f5915]) ).
fof(f5915,plain,
( ! [X0] : c_times(X0,c_1,tc_nat) = X0
| ~ spl0_71 ),
inference(forward_demodulation,[],[f5914,f2026]) ).
fof(f5914,plain,
( ! [X0] : c_times(X0,c_1,tc_nat) = c_plus(X0,c_0,tc_nat)
| ~ spl0_71 ),
inference(forward_demodulation,[],[f5893,f2056]) ).
fof(f2056,axiom,
! [X15] : c_0 = c_times(X15,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__0__right_0) ).
fof(f5893,plain,
( ! [X0] : c_times(X0,c_1,tc_nat) = c_plus(X0,c_times(X0,c_0,tc_nat),tc_nat)
| ~ spl0_71 ),
inference(superposition,[],[f3025,f3571]) ).
fof(f3571,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f3569]) ).
fof(f3025,plain,
! [X21,X15] : c_plus(X15,c_times(X15,X21,tc_nat),tc_nat) = c_times(X15,c_Finite__Set_Ocard(c_SetInterval_OatMost(X21,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f2057,f2544]) ).
fof(f2057,axiom,
! [X21,X15] : c_times(X15,c_Suc(X21),tc_nat) = c_plus(X15,c_times(X15,X21,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__Suc__right_0) ).
fof(f4447,plain,
( ! [X21,X15] :
( ~ c_lessequals(c_1,c_times(X15,X21,tc_nat),tc_nat)
| c_lessequals(c_1,X21,tc_nat) )
| ~ spl0_102
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4244,f4259]) ).
fof(f4244,plain,
( ! [X21,X15] :
( c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_IntDef_Onat(c_1),c_times(X15,X21,tc_nat),tc_nat) )
| ~ spl0_102 ),
inference(backward_demodulation,[],[f3193,f3730]) ).
fof(f3193,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,X21,tc_nat) ),
inference(definition_unfolding,[],[f2096,f2544]) ).
fof(f2096,axiom,
! [X21,X15] :
( c_lessequals(c_1,X21,tc_nat)
| ~ c_lessequals(c_Suc(c_0),c_times(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_1) ).
fof(f8206,plain,
( spl0_232
| ~ spl0_230
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f8201,f8197,f8171,f8203]) ).
fof(f8203,plain,
( spl0_232
<=> c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f8171,plain,
( spl0_230
<=> 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_230])]) ).
fof(f8197,plain,
( spl0_231
<=> c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f8201,plain,
( c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_emptyset))) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_230
| ~ spl0_231 ),
inference(backward_demodulation,[],[f8173,f8199]) ).
fof(f8199,plain,
( c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f8197]) ).
fof(f8173,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_230 ),
inference(avatar_component_clause,[],[f8171]) ).
fof(f8200,plain,
( spl0_231
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f8194,f4888,f8197]) ).
fof(f4888,plain,
( spl0_209
<=> c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f8194,plain,
( c_union(c_Message_Osynth(c_emptyset),c_Message_Osynth(c_Message_Osynth(c_emptyset)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_emptyset)))
| ~ spl0_209 ),
inference(superposition,[],[f2883,f4890]) ).
fof(f4890,plain,
( c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f4888]) ).
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(f8174,plain,
( spl0_230
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f8163,f4874,f8171]) ).
fof(f8163,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_208 ),
inference(superposition,[],[f2865,f4876]) ).
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(f8073,plain,
( ~ spl0_229
| spl0_226 ),
inference(avatar_split_clause,[],[f8068,f8050,f8070]) ).
fof(f8070,plain,
( spl0_229
<=> 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_229])]) ).
fof(f8050,plain,
( spl0_226
<=> 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_226])]) ).
fof(f8068,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_226 ),
inference(resolution,[],[f8052,f2847]) ).
fof(f8052,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_226 ),
inference(avatar_component_clause,[],[f8050]) ).
fof(f8066,plain,
( spl0_228
| ~ spl0_30
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f8055,f3488,f3358,f8063]) ).
fof(f8063,plain,
( spl0_228
<=> c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f3358,plain,
( spl0_30
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3488,plain,
( spl0_55
<=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f8055,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_30
| ~ spl0_55 ),
inference(resolution,[],[f5401,f3360]) ).
fof(f3360,plain,
( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f5401,plain,
( ! [X2] :
( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_Message_Oparts(c_insert(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) )
| ~ spl0_55 ),
inference(resolution,[],[f2870,f4621]) ).
fof(f4621,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_55 ),
inference(resolution,[],[f2940,f3490]) ).
fof(f3490,plain,
( c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f3488]) ).
fof(f2940,axiom,
! [X102,X12] :
( ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg)
| ~ c_in(X12,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__see__shrK_1) ).
fof(f8061,plain,
( spl0_227
| ~ spl0_55
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f8056,f4174,f3488,f8058]) ).
fof(f8058,plain,
( spl0_227
<=> 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)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f4174,plain,
( spl0_180
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f8056,plain,
( 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)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))
| ~ spl0_55
| ~ spl0_180 ),
inference(resolution,[],[f5401,f4176]) ).
fof(f4176,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4174]) ).
fof(f8053,plain,
( spl0_225
| ~ spl0_226
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f8044,f4774,f8050,f8046]) ).
fof(f8046,plain,
( spl0_225
<=> 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_225])]) ).
fof(f8044,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_205 ),
inference(forward_demodulation,[],[f8037,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(f8037,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_205 ),
inference(resolution,[],[f4776,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(f8043,plain,
( spl0_224
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f8038,f4774,f8040]) ).
fof(f8040,plain,
( spl0_224
<=> 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_224])]) ).
fof(f8038,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_205 ),
inference(resolution,[],[f4776,f2852]) ).
fof(f8025,plain,
( ~ spl0_223
| spl0_220 ),
inference(avatar_split_clause,[],[f8020,f7970,f8022]) ).
fof(f8022,plain,
( spl0_223
<=> 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_223])]) ).
fof(f7970,plain,
( spl0_220
<=> 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_220])]) ).
fof(f8020,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_220 ),
inference(resolution,[],[f7971,f2847]) ).
fof(f7971,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_220 ),
inference(avatar_component_clause,[],[f7970]) ).
fof(f7996,plain,
( ~ spl0_222
| spl0_221 ),
inference(avatar_split_clause,[],[f7991,f7974,f7993]) ).
fof(f7993,plain,
( spl0_222
<=> 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_222])]) ).
fof(f7974,plain,
( spl0_221
<=> 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_221])]) ).
fof(f7991,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_221 ),
inference(resolution,[],[f7976,f2847]) ).
fof(f7976,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_221 ),
inference(avatar_component_clause,[],[f7974]) ).
fof(f7977,plain,
( spl0_220
| ~ spl0_221
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f7968,f4769,f7974,f7970]) ).
fof(f7968,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_204 ),
inference(forward_demodulation,[],[f7961,f2900]) ).
fof(f7961,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OshrK(v_B))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_204 ),
inference(resolution,[],[f4771,f2846]) ).
fof(f7967,plain,
( spl0_219
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f7962,f4769,f7964]) ).
fof(f7964,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(f7962,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_204 ),
inference(resolution,[],[f4771,f2852]) ).
fof(f7958,plain,
( spl0_217
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7946,f4174,f7950]) ).
fof(f7950,plain,
( spl0_217
<=> ! [X38,X36,X37,X39] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X38,v_Aa))),c_insert(X39,c_insert(X36,c_Event_Oknows(c_Message_Oagent_OSpy,X37),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f7946,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_180 ),
inference(superposition,[],[f6345,f4624]) ).
fof(f4624,plain,
( ! [X8,X7] : c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_Aa,X7),X8,tc_Event_Oevent))
| ~ spl0_180 ),
inference(resolution,[],[f2797,f4176]) ).
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(f6345,plain,
( ! [X10,X11,X9] : c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X9,v_Aa))),c_insert(X10,c_Event_Oknows(c_Message_Oagent_OSpy,X11),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_180 ),
inference(resolution,[],[f4546,f4176]) ).
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(f7957,plain,
( spl0_217
| ~ spl0_30
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7942,f4174,f3358,f7950]) ).
fof(f7942,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_30
| ~ spl0_180 ),
inference(superposition,[],[f6345,f4623]) ).
fof(f4623,plain,
( ! [X6,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,X5),X6,tc_Event_Oevent)) = c_insert(X5,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg)
| ~ spl0_30 ),
inference(resolution,[],[f2797,f3360]) ).
fof(f7956,plain,
( spl0_217
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7940,f4174,f7950]) ).
fof(f7940,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_180 ),
inference(superposition,[],[f6345,f2799]) ).
fof(f7955,plain,
( spl0_217
| spl0_218
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7947,f4174,f7953,f7950]) ).
fof(f7953,plain,
( spl0_218
<=> ! [X41,X40,X35] : c_Event_Oknows(c_Message_Oagent_OSpy,X40) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X35,X41),X40,tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f7947,plain,
( ! [X40,X38,X41,X39,X36,X37,X35] :
( c_Event_Oknows(c_Message_Oagent_OSpy,X40) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X35,X41),X40,tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X38,v_Aa))),c_insert(X39,c_insert(X36,c_Event_Oknows(c_Message_Oagent_OSpy,X37),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_180 ),
inference(superposition,[],[f6345,f4622]) ).
fof(f4622,plain,
! [X2,X3,X0,X1,X4] :
( c_Event_Oknows(c_Message_Oagent_OSpy,X3) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X4),X3,tc_Event_Oevent))
| c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) ),
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(f7937,plain,
( spl0_216
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7925,f4174,f7932]) ).
fof(f7932,plain,
( spl0_216
<=> ! [X48,X47,X46,X44,X45] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X46,X47)),c_Message_Oanalz(c_insert(X48,c_insert(X44,c_Event_Oknows(c_Message_Oagent_OSpy,X45),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f7925,plain,
( ! [X40,X38,X41,X39,X42] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X40,X41)),c_Message_Oanalz(c_insert(X42,c_insert(X38,c_Event_Oknows(c_Message_Oagent_OSpy,X39),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_180 ),
inference(superposition,[],[f4899,f4624]) ).
fof(f4899,plain,
( ! [X26,X24,X25,X23] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X25,X26)),c_Message_Oanalz(c_insert(X23,c_Event_Oknows(c_Message_Oagent_OSpy,X24),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_180 ),
inference(superposition,[],[f2898,f4624]) ).
fof(f2898,axiom,
! [X27,X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X27,X12)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X102)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__spies__pubK_0) ).
fof(f7936,plain,
( spl0_216
| ~ spl0_30
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7921,f4174,f3358,f7932]) ).
fof(f7921,plain,
( ! [X21,X18,X19,X22,X20] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X20,X21)),c_Message_Oanalz(c_insert(X22,c_insert(X18,c_Event_Oknows(c_Message_Oagent_OSpy,X19),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_30
| ~ spl0_180 ),
inference(superposition,[],[f4899,f4623]) ).
fof(f7935,plain,
( spl0_216
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7919,f4174,f7932]) ).
fof(f7919,plain,
( ! [X10,X11,X8,X9,X12] : c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X10,X11)),c_Message_Oanalz(c_insert(X12,c_insert(X8,c_Event_Oknows(c_Message_Oagent_OSpy,X9),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_180 ),
inference(superposition,[],[f4899,f2799]) ).
fof(f7934,plain,
( spl0_215
| spl0_216
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7926,f4174,f7932,f7929]) ).
fof(f7929,plain,
( spl0_215
<=> ! [X50,X43,X49] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X43,X50),X49,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X49) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f7926,plain,
( ! [X50,X48,X46,X49,X47,X44,X45,X43] :
( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X46,X47)),c_Message_Oanalz(c_insert(X48,c_insert(X44,c_Event_Oknows(c_Message_Oagent_OSpy,X45),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X43,X50),X49,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X49) )
| ~ spl0_180 ),
inference(superposition,[],[f4899,f4622]) ).
fof(f5812,plain,
( spl0_213
| spl0_214
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f5798,f4174,f5810,f5807]) ).
fof(f5807,plain,
( spl0_213
<=> ! [X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f5810,plain,
( spl0_214
<=> ! [X0] : c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f5798,plain,
( ! [X0,X1] :
( c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)) = X0
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) )
| ~ spl0_180 ),
inference(resolution,[],[f5765,f2683]) ).
fof(f2683,axiom,
! [X18,X1,X27,X12] :
( ~ c_in(X18,c_insert(X27,X12,X1),X1)
| X18 = X27
| c_in(X18,X12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
fof(f5765,plain,
( ! [X8,X7] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_insert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X8),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_180 ),
inference(resolution,[],[f4547,f4176]) ).
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(f5758,plain,
( ~ spl0_14
| spl0_212
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f5737,f4257,f3728,f5756,f3278]) ).
fof(f3278,plain,
( spl0_14
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f5756,plain,
( spl0_212
<=> ! [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_212])]) ).
fof(f5737,plain,
( ! [X8,X6,X7] :
( c_less(c_0,c_Nat_Osize(c_List_Olist_OCons(X8,X6,X7),tc_List_Olist(X7)),tc_nat)
| ~ c_less(c_0,c_1,tc_nat) )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f2030,f4429]) ).
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(f5754,plain,
( spl0_211
| spl0_56
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f5739,f4257,f3728,f3493,f5752]) ).
fof(f5752,plain,
( spl0_211
<=> ! [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_211])]) ).
fof(f5739,plain,
( ! [X14,X12,X13] :
( c_0 = c_1
| c_0 != c_Nat_Osize(c_List_Olist_OCons(X14,X12,X13),tc_List_Olist(X13)) )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f2032,f4429]) ).
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(f4931,plain,
( spl0_210
| ~ spl0_14
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f4925,f4257,f3728,f3278,f4929]) ).
fof(f4929,plain,
( spl0_210
<=> ! [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_210])]) ).
fof(f4925,plain,
( ! [X0,X1] :
( ~ c_less(c_0,c_1,tc_nat)
| c_less(c_0,c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg),tc_nat) )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f2030,f4439]) ).
fof(f4891,plain,
( spl0_209
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f4886,f3323,f4888]) ).
fof(f3323,plain,
( spl0_23
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f4886,plain,
( c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f4881,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(f4881,plain,
( c_Message_Oparts(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_23 ),
inference(superposition,[],[f2883,f3325]) ).
fof(f3325,plain,
( c_emptyset = c_Message_Oparts(c_emptyset)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f3323]) ).
fof(f4877,plain,
( spl0_208
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4872,f4122,f4874]) ).
fof(f4872,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_Message_Osynth(c_emptyset)
| ~ spl0_171 ),
inference(forward_demodulation,[],[f4865,f2638]) ).
fof(f4865,plain,
( c_Message_Oanalz(c_Message_Osynth(c_emptyset)) = c_union(c_emptyset,c_Message_Osynth(c_emptyset),tc_Message_Omsg)
| ~ spl0_171 ),
inference(superposition,[],[f2865,f4124]) ).
fof(f4863,plain,
( spl0_207
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f4852,f4553,f4860]) ).
fof(f4553,plain,
( spl0_202
<=> 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_202])]) ).
fof(f4852,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_202 ),
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_202 ),
inference(avatar_component_clause,[],[f4553]) ).
fof(f4791,plain,
( spl0_206
| spl0_56
| ~ spl0_102
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f4785,f4257,f3728,f3493,f4789]) ).
fof(f4789,plain,
( spl0_206
<=> ! [X0,X1] : c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f4785,plain,
( ! [X0,X1] :
( c_0 = c_1
| c_0 != c_Nat_Osize(c_Message_Omsg_OMPair(X0,X1),tc_Message_Omsg) )
| ~ spl0_102
| ~ spl0_188 ),
inference(superposition,[],[f2032,f4439]) ).
fof(f4777,plain,
( spl0_205
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f4766,f4553,f4774]) ).
fof(f4766,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_202 ),
inference(resolution,[],[f4555,f2834]) ).
fof(f4772,plain,
( spl0_204
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f4767,f4553,f4769]) ).
fof(f4767,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(resolution,[],[f4555,f2833]) ).
fof(f4671,plain,
( spl0_203
| ~ spl0_55
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4666,f3559,f3488,f4668]) ).
fof(f3559,plain,
( spl0_69
<=> 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_69])]) ).
fof(f4666,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_55
| ~ spl0_69 ),
inference(resolution,[],[f4625,f3561]) ).
fof(f3561,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_69 ),
inference(avatar_component_clause,[],[f3559]) ).
fof(f4625,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_55 ),
inference(resolution,[],[f2936,f3490]) ).
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_202
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f4550,f3998,f4553]) ).
fof(f3998,plain,
( spl0_149
<=> 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_149])]) ).
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_149 ),
inference(resolution,[],[f2933,f4000]) ).
fof(f4000,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_149 ),
inference(avatar_component_clause,[],[f3998]) ).
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(f4480,plain,
( ~ spl0_201
| spl0_122 ),
inference(avatar_split_clause,[],[f4473,f3838,f4477]) ).
fof(f4477,plain,
( spl0_201
<=> 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_201])]) ).
fof(f3838,plain,
( spl0_122
<=> 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_122])]) ).
fof(f4473,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)
| spl0_122 ),
inference(resolution,[],[f2847,f3840]) ).
fof(f3840,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_122 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f4471,plain,
( spl0_200
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f4466,f3686,f4468]) ).
fof(f3686,plain,
( spl0_94
<=> c_in(v_K,c_Message_OsymKeys,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f4466,plain,
( v_K = c_Message_OinvKey(v_K)
| ~ spl0_94 ),
inference(resolution,[],[f2899,f3688]) ).
fof(f3688,plain,
( c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f3686]) ).
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(f4457,plain,
( ~ spl0_199
| spl0_187
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f4451,f4257,f4251,f4454]) ).
fof(f4454,plain,
( spl0_199
<=> c_1 = c_Divides_Oop_Amod(c_1,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f4251,plain,
( spl0_187
<=> c_IntDef_Onat(c_1) = c_Divides_Oop_Amod(c_IntDef_Onat(c_1),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f4451,plain,
( c_1 != c_Divides_Oop_Amod(c_1,c_0,tc_nat)
| spl0_187
| ~ spl0_188 ),
inference(backward_demodulation,[],[f4253,f4259]) ).
fof(f4253,plain,
( c_IntDef_Onat(c_1) != c_Divides_Oop_Amod(c_IntDef_Onat(c_1),c_0,tc_nat)
| spl0_187 ),
inference(avatar_component_clause,[],[f4251]) ).
fof(f4428,plain,
( spl0_198
| spl0_194
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4424,f3825,f4407,f4426]) ).
fof(f4426,plain,
( spl0_198
<=> ! [X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| ~ c_less(c_1,c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f4407,plain,
( spl0_194
<=> ! [X11] : ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f3825,plain,
( spl0_119
<=> ! [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_119])]) ).
fof(f4424,plain,
( ! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_less(c_1,c_0,X1)
| ~ class_Power_Orecpower(X1) )
| ~ spl0_119 ),
inference(forward_subsumption_demodulation,[],[f4400,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(f4400,plain,
( ! [X0,X11,X1] :
( ~ class_Power_Orecpower(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_Ring__and__Field_Oordered__idom(X1) )
| ~ spl0_119 ),
inference(backward_subsumption_demodulation,[],[f2323,f3826]) ).
fof(f3826,plain,
( ! [X11] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f3825]) ).
fof(f2323,axiom,
! [X0,X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__less__zero__eq__number__of_0) ).
fof(f4423,plain,
( spl0_196
| spl0_197
| spl0_194
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4416,f3825,f4407,f4421,f4418]) ).
fof(f4418,plain,
( spl0_196
<=> ! [X0] : c_0 = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f4421,plain,
( spl0_197
<=> ! [X1] :
( ~ c_lessequals(c_1,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f4416,plain,
( ! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_lessequals(c_1,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = X0 )
| ~ spl0_119 ),
inference(forward_subsumption_demodulation,[],[f4399,f2357]) ).
fof(f4399,plain,
( ! [X0,X11,X1] :
( c_0 = X0
| ~ 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_Nat_Opower(X0,c_0,X1),c_0,X1) )
| ~ spl0_119 ),
inference(backward_subsumption_demodulation,[],[f2318,f3826]) ).
fof(f2318,axiom,
! [X0,X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_1) ).
fof(f4412,plain,
( spl0_194
| spl0_195
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4405,f3825,f4410,f4407]) ).
fof(f4410,plain,
( spl0_195
<=> ! [X1] :
( ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f4405,plain,
( ! [X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_lessequals(c_0,c_1,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) )
| ~ spl0_119 ),
inference(forward_subsumption_demodulation,[],[f4404,f2357]) ).
fof(f4404,plain,
( ! [X0,X11,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_lessequals(c_0,c_Nat_Opower(X0,c_0,X1),X1) )
| ~ spl0_119 ),
inference(backward_subsumption_demodulation,[],[f2329,f3826]) ).
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(f4398,plain,
( spl0_193
| ~ spl0_7
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f4393,f3569,f3242,f4395]) ).
fof(f4395,plain,
( spl0_193
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f3242,plain,
( spl0_7
<=> 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_7])]) ).
fof(f4393,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_7
| ~ spl0_71 ),
inference(forward_demodulation,[],[f3244,f3571]) ).
fof(f3244,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f4392,plain,
( spl0_192
| ~ spl0_90
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f4387,f3884,f3665,f4389]) ).
fof(f4389,plain,
( spl0_192
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f3665,plain,
( spl0_90
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f3884,plain,
( spl0_130
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f4387,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_90
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3886,f3667]) ).
fof(f3667,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f3886,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3884]) ).
fof(f4386,plain,
( spl0_191
| ~ spl0_37
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f4381,f4047,f3396,f4383]) ).
fof(f4383,plain,
( spl0_191
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f3396,plain,
( spl0_37
<=> 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_37])]) ).
fof(f4047,plain,
( spl0_158
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f4381,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_37
| ~ spl0_158 ),
inference(forward_demodulation,[],[f3398,f4049]) ).
fof(f4049,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f4047]) ).
fof(f3398,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f3396]) ).
fof(f4380,plain,
( spl0_190
| ~ spl0_12
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f4375,f3665,f3268,f4377]) ).
fof(f4377,plain,
( spl0_190
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f3268,plain,
( spl0_12
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f4375,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_12
| ~ spl0_90 ),
inference(forward_demodulation,[],[f3270,f3667]) ).
fof(f3270,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f4323,plain,
( spl0_189
| ~ spl0_117
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f4300,f4047,f3813,f4320]) ).
fof(f4320,plain,
( spl0_189
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f3813,plain,
( spl0_117
<=> 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_117])]) ).
fof(f4300,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_117
| ~ spl0_158 ),
inference(backward_demodulation,[],[f3815,f4049]) ).
fof(f3815,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3813]) ).
fof(f4260,plain,
( spl0_188
| ~ spl0_71
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4255,f3728,f3569,f4257]) ).
fof(f4255,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_71
| ~ spl0_102 ),
inference(backward_demodulation,[],[f3730,f3571]) ).
fof(f4254,plain,
( ~ spl0_187
| ~ spl0_102
| spl0_108 ),
inference(avatar_split_clause,[],[f4249,f3766,f3728,f4251]) ).
fof(f3766,plain,
( spl0_108
<=> c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f4249,plain,
( c_IntDef_Onat(c_1) != c_Divides_Oop_Amod(c_IntDef_Onat(c_1),c_0,tc_nat)
| ~ spl0_102
| spl0_108 ),
inference(forward_demodulation,[],[f3767,f3730]) ).
fof(f3767,plain,
( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) != c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat)
| spl0_108 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f4222,plain,
( spl0_107
| spl0_90 ),
inference(avatar_split_clause,[],[f4221,f3665,f3762]) ).
fof(f3762,plain,
( spl0_107
<=> ! [X83] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f4221,plain,
! [X47] :
( c_0 = c_IntDef_Oint(c_0)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1851,f1848]) ).
fof(f1848,axiom,
! [X47] :
( c_0 = 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_Oeq__number__of__0_1) ).
fof(f1851,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_Numeral_Onumber__of(X47,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f4219,plain,
spl0_186,
inference(avatar_split_clause,[],[f1686,f4216]) ).
fof(f4216,plain,
( spl0_186
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
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(f4212,plain,
spl0_185,
inference(avatar_split_clause,[],[f235,f4209]) ).
fof(f4209,plain,
( spl0_185
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f4204,plain,
spl0_184,
inference(avatar_split_clause,[],[f1674,f4201]) ).
fof(f4201,plain,
( spl0_184
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
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(f4199,plain,
spl0_183,
inference(avatar_split_clause,[],[f1386,f4196]) ).
fof(f4196,plain,
( spl0_183
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1386,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f4193,plain,
spl0_182,
inference(avatar_split_clause,[],[f213,f4190]) ).
fof(f4190,plain,
( spl0_182
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f213,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f4183,plain,
spl0_181,
inference(avatar_split_clause,[],[f234,f4180]) ).
fof(f4180,plain,
( spl0_181
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f4177,plain,
spl0_180,
inference(avatar_split_clause,[],[f2955,f4174]) ).
fof(f2955,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f4172,plain,
spl0_179,
inference(avatar_split_clause,[],[f2528,f4169]) ).
fof(f4169,plain,
( spl0_179
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
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(f4165,plain,
spl0_178,
inference(avatar_split_clause,[],[f1371,f4162]) ).
fof(f4162,plain,
( spl0_178
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1371,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f4158,plain,
spl0_177,
inference(avatar_split_clause,[],[f243,f4155]) ).
fof(f4155,plain,
( spl0_177
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f4153,plain,
spl0_176,
inference(avatar_split_clause,[],[f182,f4150]) ).
fof(f4150,plain,
( spl0_176
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f182,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f4146,plain,
spl0_175,
inference(avatar_split_clause,[],[f1255,f4143]) ).
fof(f4143,plain,
( spl0_175
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
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(f4141,plain,
( spl0_65
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2498,f3493,f3538]) ).
fof(f3538,plain,
( spl0_65
<=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2498,axiom,
! [X1] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f4140,plain,
spl0_174,
inference(avatar_split_clause,[],[f132,f4137]) ).
fof(f4137,plain,
( spl0_174
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f132,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f4135,plain,
( spl0_173
| spl0_107 ),
inference(avatar_split_clause,[],[f4131,f3762,f4133]) ).
fof(f4133,plain,
( spl0_173
<=> ! [X1] :
( ~ class_Numeral_Onumber__ring(X1)
| c_0 = c_NatArith_Oof__nat(c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f4131,plain,
! [X47,X1] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ class_Numeral_Onumber__ring(X1)
| c_0 = c_NatArith_Oof__nat(c_0,X1) ),
inference(forward_subsumption_demodulation,[],[f1868,f1848]) ).
fof(f1868,axiom,
! [X1,X47] :
( ~ class_Numeral_Onumber__ring(X1)
| c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X47,tc_nat),X1)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f4130,plain,
spl0_172,
inference(avatar_split_clause,[],[f3078,f4127]) ).
fof(f4127,plain,
( spl0_172
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3078,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(f4125,plain,
spl0_171,
inference(avatar_split_clause,[],[f2853,f4122]) ).
fof(f2853,axiom,
c_emptyset = c_Message_Oanalz(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__empty_0) ).
fof(f4119,plain,
spl0_170,
inference(avatar_split_clause,[],[f215,f4116]) ).
fof(f4116,plain,
( spl0_170
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f215,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f4113,plain,
spl0_169,
inference(avatar_split_clause,[],[f137,f4110]) ).
fof(f4110,plain,
( spl0_169
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f137,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f4108,plain,
spl0_168,
inference(avatar_split_clause,[],[f142,f4105]) ).
fof(f4105,plain,
( spl0_168
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
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(f4102,plain,
spl0_167,
inference(avatar_split_clause,[],[f195,f4099]) ).
fof(f4099,plain,
( spl0_167
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f4097,plain,
spl0_166,
inference(avatar_split_clause,[],[f171,f4094]) ).
fof(f4094,plain,
( spl0_166
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f4090,plain,
~ spl0_165,
inference(avatar_split_clause,[],[f2310,f4087]) ).
fof(f4087,plain,
( spl0_165
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f2310,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f4084,plain,
spl0_164,
inference(avatar_split_clause,[],[f238,f4081]) ).
fof(f4081,plain,
( spl0_164
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f238,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f4077,plain,
( spl0_163
| spl0_119 ),
inference(avatar_split_clause,[],[f4073,f3825,f4075]) ).
fof(f4075,plain,
( spl0_163
<=> ! [X1] :
( ~ c_less(c_0,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f4073,plain,
! [X11,X1] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ c_less(c_0,c_0,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ class_Power_Orecpower(X1) ),
inference(forward_subsumption_demodulation,[],[f2332,f2312]) ).
fof(f2312,axiom,
! [X11,X1] :
( ~ class_Power_Orecpower(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f2332,axiom,
! [X11,X1] :
( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f4070,plain,
~ spl0_162,
inference(avatar_split_clause,[],[f1309,f4067]) ).
fof(f4067,plain,
( spl0_162
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
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(f4065,plain,
spl0_161,
inference(avatar_split_clause,[],[f149,f4062]) ).
fof(f4062,plain,
( spl0_161
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
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(f4060,plain,
spl0_160,
inference(avatar_split_clause,[],[f2105,f4057]) ).
fof(f4057,plain,
( spl0_160
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
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(f4055,plain,
spl0_159,
inference(avatar_split_clause,[],[f2106,f4052]) ).
fof(f4052,plain,
( spl0_159
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
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(f4050,plain,
spl0_158,
inference(avatar_split_clause,[],[f2156,f4047]) ).
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(f4045,plain,
spl0_157,
inference(avatar_split_clause,[],[f229,f4042]) ).
fof(f4042,plain,
( spl0_157
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f4040,plain,
spl0_156,
inference(avatar_split_clause,[],[f165,f4037]) ).
fof(f4037,plain,
( spl0_156
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
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(f4035,plain,
spl0_155,
inference(avatar_split_clause,[],[f168,f4032]) ).
fof(f4032,plain,
( spl0_155
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
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(f4028,plain,
spl0_154,
inference(avatar_split_clause,[],[f216,f4025]) ).
fof(f4025,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(f4023,plain,
spl0_153,
inference(avatar_split_clause,[],[f1184,f4020]) ).
fof(f4020,plain,
( spl0_153
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
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(f4018,plain,
spl0_152,
inference(avatar_split_clause,[],[f148,f4015]) ).
fof(f4015,plain,
( spl0_152
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
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(f4013,plain,
spl0_151,
inference(avatar_split_clause,[],[f239,f4010]) ).
fof(f4010,plain,
( spl0_151
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f239,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f4006,plain,
spl0_150,
inference(avatar_split_clause,[],[f1679,f4003]) ).
fof(f4003,plain,
( spl0_150
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
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(f4001,plain,
spl0_149,
inference(avatar_split_clause,[],[f2956,f3998]) ).
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(f3995,plain,
spl0_14,
inference(avatar_split_clause,[],[f3994,f3278]) ).
fof(f3994,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_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(f3993,plain,
spl0_148,
inference(avatar_split_clause,[],[f139,f3990]) ).
fof(f3990,plain,
( spl0_148
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
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(f3987,plain,
spl0_147,
inference(avatar_split_clause,[],[f1685,f3984]) ).
fof(f3984,plain,
( spl0_147
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
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(f3977,plain,
spl0_146,
inference(avatar_split_clause,[],[f169,f3974]) ).
fof(f3974,plain,
( spl0_146
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
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(f3971,plain,
spl0_145,
inference(avatar_split_clause,[],[f153,f3968]) ).
fof(f3968,plain,
( spl0_145
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
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(f3966,plain,
spl0_144,
inference(avatar_split_clause,[],[f3961,f3963]) ).
fof(f3963,plain,
( spl0_144
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3961,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(forward_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(f3960,plain,
spl0_143,
inference(avatar_split_clause,[],[f3031,f3957]) ).
fof(f3957,plain,
( spl0_143
<=> 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_143])]) ).
fof(f3031,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(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(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(f3955,plain,
~ spl0_33,
inference(avatar_split_clause,[],[f1250,f3373]) ).
fof(f3373,plain,
( spl0_33
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
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(f3954,plain,
spl0_142,
inference(avatar_split_clause,[],[f166,f3951]) ).
fof(f3951,plain,
( spl0_142
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
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(f3948,plain,
spl0_141,
inference(avatar_split_clause,[],[f186,f3945]) ).
fof(f3945,plain,
( spl0_141
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f186,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3943,plain,
spl0_140,
inference(avatar_split_clause,[],[f136,f3940]) ).
fof(f3940,plain,
( spl0_140
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f136,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3938,plain,
spl0_139,
inference(avatar_split_clause,[],[f2737,f3935]) ).
fof(f3935,plain,
( spl0_139
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
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(f3933,plain,
spl0_109,
inference(avatar_split_clause,[],[f3199,f3772]) ).
fof(f3772,plain,
( spl0_109
<=> ! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f3199,plain,
! [X47] :
( c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X47),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1854,f2129]) ).
fof(f1854,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X47),tc_IntDef_Oint),tc_IntDef_Oint)
| c_less(c_0,c_Numeral_Onumber__of(X47,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oless__0__number__of_1) ).
fof(f3931,plain,
spl0_138,
inference(avatar_split_clause,[],[f184,f3928]) ).
fof(f3928,plain,
( spl0_138
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f184,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3925,plain,
spl0_137,
inference(avatar_split_clause,[],[f217,f3922]) ).
fof(f3922,plain,
( spl0_137
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f217,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3919,plain,
spl0_136,
inference(avatar_split_clause,[],[f161,f3916]) ).
fof(f3916,plain,
( spl0_136
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
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(f3914,plain,
spl0_135,
inference(avatar_split_clause,[],[f2155,f3911]) ).
fof(f3911,plain,
( spl0_135
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
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(f3909,plain,
spl0_134,
inference(avatar_split_clause,[],[f227,f3906]) ).
fof(f3906,plain,
( spl0_134
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3904,plain,
spl0_133,
inference(avatar_split_clause,[],[f228,f3901]) ).
fof(f3901,plain,
( spl0_133
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3899,plain,
spl0_132,
inference(avatar_split_clause,[],[f214,f3896]) ).
fof(f3896,plain,
( spl0_132
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f214,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3894,plain,
~ spl0_131,
inference(avatar_split_clause,[],[f2947,f3891]) ).
fof(f3891,plain,
( spl0_131
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2947,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3887,plain,
spl0_130,
inference(avatar_split_clause,[],[f1391,f3884]) ).
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(f3882,plain,
spl0_129,
inference(avatar_split_clause,[],[f2743,f3879]) ).
fof(f3879,plain,
( spl0_129
<=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2743,axiom,
c_emptyset = c_Message_OkeysFor(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__empty_0) ).
fof(f3877,plain,
spl0_128,
inference(avatar_split_clause,[],[f158,f3874]) ).
fof(f3874,plain,
( spl0_128
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3871,plain,
spl0_127,
inference(avatar_split_clause,[],[f208,f3868]) ).
fof(f3868,plain,
( spl0_127
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f208,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3863,plain,
spl0_126,
inference(avatar_split_clause,[],[f189,f3860]) ).
fof(f3860,plain,
( spl0_126
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f189,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3858,plain,
spl0_125,
inference(avatar_split_clause,[],[f162,f3855]) ).
fof(f3855,plain,
( spl0_125
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
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(f3853,plain,
( spl0_124
| spl0_107 ),
inference(avatar_split_clause,[],[f3849,f3762,f3851]) ).
fof(f3851,plain,
( spl0_124
<=> ! [X83] : c_0 = c_times(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f3849,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_times(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1863,f1848]) ).
fof(f1863,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_times(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Omult__nat__number__of_0) ).
fof(f3848,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f2904,f3258]) ).
fof(f3258,plain,
( spl0_10
<=> c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
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(f3847,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f2950,f3844]) ).
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(f3841,plain,
~ spl0_122,
inference(avatar_split_clause,[],[f2953,f3838]) ).
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(f3836,plain,
spl0_121,
inference(avatar_split_clause,[],[f146,f3833]) ).
fof(f3833,plain,
( spl0_121
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f146,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3830,plain,
( spl0_119
| spl0_120 ),
inference(avatar_split_clause,[],[f3823,f3828,f3825]) ).
fof(f3828,plain,
( spl0_120
<=> ! [X1] :
( c_lessequals(c_0,c_0,X1)
| ~ class_Power_Orecpower(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f3823,plain,
! [X11,X1] :
( c_lessequals(c_0,c_0,X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1) ),
inference(backward_subsumption_demodulation,[],[f2322,f2312]) ).
fof(f2322,axiom,
! [X11,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),c_0,X1)
| c_0 = c_Numeral_Onumber__of(X11,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3822,plain,
spl0_118,
inference(avatar_split_clause,[],[f212,f3819]) ).
fof(f3819,plain,
( spl0_118
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f212,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3816,plain,
spl0_117,
inference(avatar_split_clause,[],[f3200,f3813]) ).
fof(f3200,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(f3811,plain,
spl0_116,
inference(avatar_split_clause,[],[f230,f3808]) ).
fof(f3808,plain,
( spl0_116
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3804,plain,
spl0_115,
inference(avatar_split_clause,[],[f198,f3801]) ).
fof(f3801,plain,
( spl0_115
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f198,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3799,plain,
~ spl0_114,
inference(avatar_split_clause,[],[f2954,f3796]) ).
fof(f3796,plain,
( spl0_114
<=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f2954,axiom,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3794,plain,
spl0_113,
inference(avatar_split_clause,[],[f219,f3791]) ).
fof(f3791,plain,
( spl0_113
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f219,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3789,plain,
spl0_112,
inference(avatar_split_clause,[],[f2043,f3786]) ).
fof(f3786,plain,
( spl0_112
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
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(f3784,plain,
spl0_111,
inference(avatar_split_clause,[],[f236,f3781]) ).
fof(f3781,plain,
( spl0_111
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3779,plain,
spl0_110,
inference(avatar_split_clause,[],[f160,f3776]) ).
fof(f3776,plain,
( spl0_110
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
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(f3774,plain,
( spl0_109
| spl0_107 ),
inference(avatar_split_clause,[],[f3755,f3762,f3772]) ).
fof(f3755,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| c_less(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(backward_subsumption_demodulation,[],[f2964,f1848]) ).
fof(f2964,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X83),tc_IntDef_Oint),tc_IntDef_Oint)
| c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1858,f2129]) ).
fof(f1858,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_less(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X83),tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oless__nat__number__of_3) ).
fof(f3770,plain,
( spl0_107
| spl0_71 ),
inference(avatar_split_clause,[],[f3756,f3569,f3762]) ).
fof(f3756,plain,
! [X47] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f3000,f1848]) ).
fof(f3000,plain,
! [X47] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f1822,f2544]) ).
fof(f1822,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Suc(c_Numeral_Onumber__of(X47,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f3769,plain,
( spl0_108
| spl0_107 ),
inference(avatar_split_clause,[],[f3757,f3762,f3766]) ).
fof(f3757,plain,
! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_0,tc_nat) ),
inference(backward_subsumption_demodulation,[],[f3040,f1848]) ).
fof(f3040,plain,
! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f1871,f2544,f2544]) ).
fof(f1871,axiom,
! [X83] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Suc(c_0) = c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oone__mod__nat__number__of_0) ).
fof(f3764,plain,
( spl0_106
| spl0_107 ),
inference(avatar_split_clause,[],[f3754,f3762,f3759]) ).
fof(f3759,plain,
( spl0_106
<=> ! [X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f3754,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(backward_subsumption_demodulation,[],[f1861,f1848]) ).
fof(f1861,axiom,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Omod__nat__number__of_1) ).
fof(f3751,plain,
spl0_105,
inference(avatar_split_clause,[],[f2907,f3748]) ).
fof(f3748,plain,
( spl0_105
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
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(f3744,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f2732,f3513]) ).
fof(f3513,plain,
( spl0_60
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
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(f3743,plain,
spl0_104,
inference(avatar_split_clause,[],[f173,f3740]) ).
fof(f3740,plain,
( spl0_104
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3737,plain,
spl0_103,
inference(avatar_split_clause,[],[f1673,f3734]) ).
fof(f3734,plain,
( spl0_103
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
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(f3731,plain,
spl0_102,
inference(avatar_split_clause,[],[f3195,f3728]) ).
fof(f3195,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(f3725,plain,
spl0_101,
inference(avatar_split_clause,[],[f224,f3722]) ).
fof(f3722,plain,
( spl0_101
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f224,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3720,plain,
~ spl0_78,
inference(avatar_split_clause,[],[f2159,f3603]) ).
fof(f3603,plain,
( spl0_78
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
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(f3719,plain,
spl0_100,
inference(avatar_split_clause,[],[f2164,f3716]) ).
fof(f3716,plain,
( spl0_100
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
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(f3714,plain,
spl0_99,
inference(avatar_split_clause,[],[f2163,f3711]) ).
fof(f3711,plain,
( spl0_99
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
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(f3709,plain,
spl0_98,
inference(avatar_split_clause,[],[f231,f3706]) ).
fof(f3706,plain,
( spl0_98
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3704,plain,
~ spl0_97,
inference(avatar_split_clause,[],[f2772,f3701]) ).
fof(f3701,plain,
( spl0_97
<=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
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(f3699,plain,
spl0_96,
inference(avatar_split_clause,[],[f159,f3696]) ).
fof(f3696,plain,
( spl0_96
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3694,plain,
spl0_95,
inference(avatar_split_clause,[],[f203,f3691]) ).
fof(f3691,plain,
( spl0_95
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f203,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3689,plain,
spl0_94,
inference(avatar_split_clause,[],[f2951,f3686]) ).
fof(f2951,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3684,plain,
spl0_93,
inference(avatar_split_clause,[],[f167,f3681]) ).
fof(f3681,plain,
( spl0_93
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
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(f3679,plain,
spl0_92,
inference(avatar_split_clause,[],[f2534,f3676]) ).
fof(f3676,plain,
( spl0_92
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
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(f3674,plain,
( ~ spl0_56
| spl0_91 ),
inference(avatar_split_clause,[],[f3670,f3672,f3493]) ).
fof(f3672,plain,
( spl0_91
<=> ! [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_91])]) ).
fof(f3670,plain,
! [X15] :
( c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_0 != c_1 ),
inference(forward_subsumption_demodulation,[],[f1976,f2089]) ).
fof(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(f3668,plain,
spl0_90,
inference(avatar_split_clause,[],[f1374,f3665]) ).
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(f3663,plain,
spl0_89,
inference(avatar_split_clause,[],[f211,f3660]) ).
fof(f3660,plain,
( spl0_89
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f211,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3658,plain,
spl0_88,
inference(avatar_split_clause,[],[f223,f3655]) ).
fof(f3655,plain,
( spl0_88
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f223,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3652,plain,
spl0_87,
inference(avatar_split_clause,[],[f124,f3649]) ).
fof(f3649,plain,
( spl0_87
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
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(f3647,plain,
spl0_86,
inference(avatar_split_clause,[],[f1688,f3644]) ).
fof(f3644,plain,
( spl0_86
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
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(f3642,plain,
spl0_85,
inference(avatar_split_clause,[],[f1866,f3639]) ).
fof(f3639,plain,
( spl0_85
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
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(f3637,plain,
~ spl0_84,
inference(avatar_split_clause,[],[f2629,f3634]) ).
fof(f3634,plain,
( spl0_84
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2629,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3632,plain,
spl0_83,
inference(avatar_split_clause,[],[f209,f3629]) ).
fof(f3629,plain,
( spl0_83
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f209,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3626,plain,
spl0_82,
inference(avatar_split_clause,[],[f210,f3623]) ).
fof(f3623,plain,
( spl0_82
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3621,plain,
spl0_81,
inference(avatar_split_clause,[],[f154,f3618]) ).
fof(f3618,plain,
( spl0_81
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3616,plain,
~ spl0_80,
inference(avatar_split_clause,[],[f2946,f3613]) ).
fof(f3613,plain,
( spl0_80
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2946,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3611,plain,
spl0_79,
inference(avatar_split_clause,[],[f156,f3608]) ).
fof(f3608,plain,
( spl0_79
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3606,plain,
~ spl0_78,
inference(avatar_split_clause,[],[f2160,f3603]) ).
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(f3601,plain,
spl0_7,
inference(avatar_split_clause,[],[f3093,f3242]) ).
fof(f3093,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(f3600,plain,
spl0_77,
inference(avatar_split_clause,[],[f133,f3597]) ).
fof(f3597,plain,
( spl0_77
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f133,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3595,plain,
spl0_76,
inference(avatar_split_clause,[],[f157,f3592]) ).
fof(f3592,plain,
( spl0_76
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3590,plain,
( spl0_74
| spl0_75 ),
inference(avatar_split_clause,[],[f3583,f3588,f3585]) ).
fof(f3585,plain,
( spl0_74
<=> ! [X11] : c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f3588,plain,
( spl0_75
<=> ! [X18,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 != c_Nat_Opower(X18,c_0,X1)
| ~ class_Power_Orecpower(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f3583,plain,
! [X11,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X1)
| c_0 != c_Nat_Opower(X18,c_0,X1) ),
inference(forward_subsumption_demodulation,[],[f2314,f2089]) ).
fof(f2314,axiom,
! [X11,X1,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Power_Orecpower(X1)
| c_0 != c_Nat_Opower(X18,c_Numeral_Onumber__of(X11,tc_nat),X1)
| c_less(c_0,c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__eq__0__iff__number__of_1) ).
fof(f3582,plain,
spl0_73,
inference(avatar_split_clause,[],[f145,f3579]) ).
fof(f3579,plain,
( spl0_73
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f145,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3577,plain,
spl0_72,
inference(avatar_split_clause,[],[f1682,f3574]) ).
fof(f3574,plain,
( spl0_72
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
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(f3572,plain,
spl0_71,
inference(avatar_split_clause,[],[f3070,f3569]) ).
fof(f3070,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(f3567,plain,
spl0_70,
inference(avatar_split_clause,[],[f218,f3564]) ).
fof(f3564,plain,
( spl0_70
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f218,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3562,plain,
spl0_69,
inference(avatar_split_clause,[],[f2952,f3559]) ).
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(f3555,plain,
spl0_68,
inference(avatar_split_clause,[],[f143,f3552]) ).
fof(f3552,plain,
( spl0_68
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f143,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3550,plain,
spl0_67,
inference(avatar_split_clause,[],[f130,f3547]) ).
fof(f3547,plain,
( spl0_67
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f130,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3545,plain,
spl0_66,
inference(avatar_split_clause,[],[f177,f3542]) ).
fof(f3542,plain,
( spl0_66
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3540,plain,
( spl0_65
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2395,f3493,f3538]) ).
fof(f2395,axiom,
! [X1] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3536,plain,
spl0_64,
inference(avatar_split_clause,[],[f1677,f3533]) ).
fof(f3533,plain,
( spl0_64
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
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(f3531,plain,
spl0_63,
inference(avatar_split_clause,[],[f164,f3528]) ).
fof(f3528,plain,
( spl0_63
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3526,plain,
spl0_62,
inference(avatar_split_clause,[],[f226,f3523]) ).
fof(f3523,plain,
( spl0_62
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3521,plain,
spl0_61,
inference(avatar_split_clause,[],[f1676,f3518]) ).
fof(f3518,plain,
( spl0_61
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
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(f3516,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f2733,f3513]) ).
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(f3511,plain,
spl0_59,
inference(avatar_split_clause,[],[f1683,f3508]) ).
fof(f3508,plain,
( spl0_59
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
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(f3506,plain,
spl0_58,
inference(avatar_split_clause,[],[f220,f3503]) ).
fof(f3503,plain,
( spl0_58
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f220,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3501,plain,
spl0_57,
inference(avatar_split_clause,[],[f1680,f3498]) ).
fof(f3498,plain,
( spl0_57
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
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(f3496,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f1370,f3493]) ).
fof(f1370,axiom,
c_0 != c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3491,plain,
spl0_55,
inference(avatar_split_clause,[],[f2949,f3488]) ).
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(f3486,plain,
spl0_54,
inference(avatar_split_clause,[],[f183,f3483]) ).
fof(f3483,plain,
( spl0_54
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3481,plain,
spl0_53,
inference(avatar_split_clause,[],[f138,f3478]) ).
fof(f3478,plain,
( spl0_53
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f138,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3476,plain,
spl0_52,
inference(avatar_split_clause,[],[f3042,f3473]) ).
fof(f3473,plain,
( spl0_52
<=> 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_52])]) ).
fof(f3042,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(f3471,plain,
spl0_51,
inference(avatar_split_clause,[],[f126,f3468]) ).
fof(f3468,plain,
( spl0_51
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
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(f3466,plain,
spl0_50,
inference(avatar_split_clause,[],[f1254,f3463]) ).
fof(f3463,plain,
( spl0_50
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
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(f3461,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f2948,f3458]) ).
fof(f3458,plain,
( spl0_49
<=> 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_49])]) ).
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(f3456,plain,
spl0_48,
inference(avatar_split_clause,[],[f178,f3453]) ).
fof(f3453,plain,
( spl0_48
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3451,plain,
spl0_47,
inference(avatar_split_clause,[],[f2290,f3448]) ).
fof(f3448,plain,
( spl0_47
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2290,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3445,plain,
spl0_46,
inference(avatar_split_clause,[],[f144,f3442]) ).
fof(f3442,plain,
( spl0_46
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
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(f3440,plain,
spl0_45,
inference(avatar_split_clause,[],[f181,f3437]) ).
fof(f3437,plain,
( spl0_45
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3435,plain,
spl0_44,
inference(avatar_split_clause,[],[f1350,f3432]) ).
fof(f3432,plain,
( spl0_44
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
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(f3430,plain,
spl0_43,
inference(avatar_split_clause,[],[f225,f3427]) ).
fof(f3427,plain,
( spl0_43
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3425,plain,
spl0_42,
inference(avatar_split_clause,[],[f180,f3422]) ).
fof(f3422,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
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(f3419,plain,
~ spl0_41,
inference(avatar_split_clause,[],[f2090,f3416]) ).
fof(f3416,plain,
( spl0_41
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2090,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3414,plain,
spl0_40,
inference(avatar_split_clause,[],[f241,f3411]) ).
fof(f3411,plain,
( spl0_40
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3409,plain,
spl0_39,
inference(avatar_split_clause,[],[f1681,f3406]) ).
fof(f3406,plain,
( spl0_39
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
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(f3404,plain,
spl0_38,
inference(avatar_split_clause,[],[f1226,f3401]) ).
fof(f3401,plain,
( spl0_38
<=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1226,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff_1) ).
fof(f3399,plain,
spl0_37,
inference(avatar_split_clause,[],[f1867,f3396]) ).
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(f3394,plain,
spl0_36,
inference(avatar_split_clause,[],[f2567,f3391]) ).
fof(f3391,plain,
( spl0_36
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
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(f3389,plain,
spl0_35,
inference(avatar_split_clause,[],[f2303,f3386]) ).
fof(f3386,plain,
( spl0_35
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2303,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3384,plain,
spl0_34,
inference(avatar_split_clause,[],[f170,f3381]) ).
fof(f3381,plain,
( spl0_34
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
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(f3376,plain,
~ spl0_33,
inference(avatar_split_clause,[],[f1251,f3373]) ).
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(f3371,plain,
spl0_32,
inference(avatar_split_clause,[],[f155,f3368]) ).
fof(f3368,plain,
( spl0_32
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3366,plain,
spl0_31,
inference(avatar_split_clause,[],[f1675,f3363]) ).
fof(f3363,plain,
( spl0_31
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
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(f3361,plain,
spl0_30,
inference(avatar_split_clause,[],[f2773,f3358]) ).
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(f3356,plain,
spl0_29,
inference(avatar_split_clause,[],[f2739,f3353]) ).
fof(f3353,plain,
( spl0_29
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
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(f3351,plain,
spl0_28,
inference(avatar_split_clause,[],[f175,f3348]) ).
fof(f3348,plain,
( spl0_28
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3346,plain,
spl0_27,
inference(avatar_split_clause,[],[f222,f3343]) ).
fof(f3343,plain,
( spl0_27
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f222,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3341,plain,
spl0_26,
inference(avatar_split_clause,[],[f1684,f3338]) ).
fof(f3338,plain,
( spl0_26
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
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(f3336,plain,
spl0_25,
inference(avatar_split_clause,[],[f147,f3333]) ).
fof(f3333,plain,
( spl0_25
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f147,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3331,plain,
spl0_24,
inference(avatar_split_clause,[],[f176,f3328]) ).
fof(f3328,plain,
( spl0_24
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3326,plain,
spl0_23,
inference(avatar_split_clause,[],[f2770,f3323]) ).
fof(f2770,axiom,
c_emptyset = c_Message_Oparts(c_emptyset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).
fof(f3321,plain,
spl0_22,
inference(avatar_split_clause,[],[f233,f3318]) ).
fof(f3318,plain,
( spl0_22
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3316,plain,
spl0_21,
inference(avatar_split_clause,[],[f174,f3313]) ).
fof(f3313,plain,
( spl0_21
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3311,plain,
spl0_20,
inference(avatar_split_clause,[],[f131,f3308]) ).
fof(f3308,plain,
( spl0_20
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f131,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3306,plain,
spl0_19,
inference(avatar_split_clause,[],[f172,f3303]) ).
fof(f3303,plain,
( spl0_19
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3301,plain,
spl0_18,
inference(avatar_split_clause,[],[f1687,f3298]) ).
fof(f3298,plain,
( spl0_18
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
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(f3296,plain,
spl0_17,
inference(avatar_split_clause,[],[f135,f3293]) ).
fof(f3293,plain,
( spl0_17
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
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(f3291,plain,
spl0_16,
inference(avatar_split_clause,[],[f194,f3288]) ).
fof(f3288,plain,
( spl0_16
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3286,plain,
spl0_15,
inference(avatar_split_clause,[],[f134,f3283]) ).
fof(f3283,plain,
( spl0_15
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f134,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3281,plain,
spl0_14,
inference(avatar_split_clause,[],[f2049,f3278]) ).
fof(f2049,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3276,plain,
spl0_13,
inference(avatar_split_clause,[],[f244,f3273]) ).
fof(f3273,plain,
( spl0_13
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3271,plain,
spl0_12,
inference(avatar_split_clause,[],[f1377,f3268]) ).
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(f3266,plain,
spl0_11,
inference(avatar_split_clause,[],[f150,f3263]) ).
fof(f3263,plain,
( spl0_11
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f150,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3261,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f2903,f3258]) ).
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(f3256,plain,
spl0_9,
inference(avatar_split_clause,[],[f2908,f3253]) ).
fof(f3253,plain,
( spl0_9
<=> c_0 = c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
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(f3251,plain,
spl0_8,
inference(avatar_split_clause,[],[f3023,f3248]) ).
fof(f3248,plain,
( spl0_8
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3023,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin),
inference(definition_unfolding,[],[f2134,f2113]) ).
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(f3245,plain,
spl0_7,
inference(avatar_split_clause,[],[f2960,f3242]) ).
fof(f2960,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(f3240,plain,
spl0_6,
inference(avatar_split_clause,[],[f232,f3237]) ).
fof(f3237,plain,
( spl0_6
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3235,plain,
spl0_5,
inference(avatar_split_clause,[],[f221,f3232]) ).
fof(f3232,plain,
( spl0_5
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3230,plain,
spl0_4,
inference(avatar_split_clause,[],[f140,f3227]) ).
fof(f3227,plain,
( spl0_4
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f140,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3225,plain,
spl0_3,
inference(avatar_split_clause,[],[f242,f3222]) ).
fof(f3222,plain,
( spl0_3
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3220,plain,
spl0_2,
inference(avatar_split_clause,[],[f1678,f3217]) ).
fof(f3217,plain,
( spl0_2
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
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(f3215,plain,
spl0_1,
inference(avatar_split_clause,[],[f151,f3212]) ).
fof(f3212,plain,
( spl0_1
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV344-1 : 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
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:20:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.79/0.56 % (19617)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 0.79/0.57 % (19606)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)
% 0.97/0.57 % (19598)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)
% 0.97/0.61 % (19603)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)
% 0.97/0.62 % (19613)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.97/0.63 % (19620)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 0.97/0.63 % (19595)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)
% 0.97/0.63 % (19602)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.97/0.63 % (19597)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)
% 0.97/0.64 % (19611)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)
% 0.97/0.64 % (19594)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)
% 0.97/0.64 % (19598)Instruction limit reached!
% 0.97/0.64 % (19598)------------------------------
% 0.97/0.64 % (19598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.97/0.64 % (19598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.97/0.64 % (19598)Termination reason: Unknown
% 0.97/0.64 % (19598)Termination phase: Finite model building preprocessing
% 0.97/0.64
% 0.97/0.64 % (19598)Memory used [KB]: 4349
% 0.97/0.64 % (19598)Time elapsed: 0.045 s
% 0.97/0.64 % (19598)Instructions burned: 51 (million)
% 0.97/0.64 % (19598)------------------------------
% 0.97/0.64 % (19598)------------------------------
% 0.97/0.64 % (19619)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)
% 0.97/0.64 % (19610)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.97/0.64 % (19592)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)
% 0.97/0.64 % (19599)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.97/0.65 % (19601)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)
% 0.97/0.65 % (19614)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)
% 0.97/0.65 % (19599)Instruction limit reached!
% 0.97/0.65 % (19599)------------------------------
% 0.97/0.65 % (19599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.97/0.65 % (19599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.97/0.65 % (19599)Termination reason: Unknown
% 0.97/0.65 % (19599)Termination phase: Function definition elimination
% 0.97/0.65
% 0.97/0.65 % (19599)Memory used [KB]: 3837
% 0.97/0.65 % (19599)Time elapsed: 0.008 s
% 0.97/0.65 % (19599)Instructions burned: 8 (million)
% 0.97/0.65 % (19599)------------------------------
% 0.97/0.65 % (19599)------------------------------
% 0.97/0.65 % (19606)Instruction limit reached!
% 0.97/0.65 % (19606)------------------------------
% 0.97/0.65 % (19606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.97/0.65 % (19606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.97/0.65 % (19606)Termination reason: Unknown
% 0.97/0.65 % (19606)Termination phase: Saturation
% 0.97/0.65
% 0.97/0.65 % (19606)Memory used [KB]: 10746
% 0.97/0.65 % (19606)Time elapsed: 0.063 s
% 0.97/0.65 % (19606)Instructions burned: 68 (million)
% 0.97/0.65 % (19606)------------------------------
% 0.97/0.65 % (19606)------------------------------
% 0.97/0.65 % (19605)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.97/0.65 % (19596)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.97/0.65 % (19616)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 0.97/0.65 % (19607)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)
% 1.62/0.66 % (19608)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)
% 1.62/0.66 % (19612)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)
% 1.62/0.66 % (19593)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)
% 1.62/0.67 % (19618)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)
% 1.62/0.67 % (19615)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)
% 1.62/0.67 % (19609)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.62/0.67 % (19600)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.62/0.67 % (19621)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)
% 1.62/0.67 % (19600)Instruction limit reached!
% 1.62/0.67 % (19600)------------------------------
% 1.62/0.67 % (19600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.68 % (19604)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.62/0.68 % (19600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.68 % (19600)Termination reason: Unknown
% 1.62/0.68 % (19600)Termination phase: shuffling
% 1.62/0.68
% 1.62/0.68 % (19600)Memory used [KB]: 3454
% 1.62/0.68 % (19600)Time elapsed: 0.003 s
% 1.62/0.68 % (19600)Instructions burned: 2 (million)
% 1.62/0.68 % (19600)------------------------------
% 1.62/0.68 % (19600)------------------------------
% 1.81/0.72 % (19597)Instruction limit reached!
% 1.81/0.72 % (19597)------------------------------
% 1.81/0.72 % (19597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.72 % (19594)Instruction limit reached!
% 1.81/0.72 % (19594)------------------------------
% 1.81/0.72 % (19594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.72 % (19594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.72 % (19594)Termination reason: Unknown
% 1.81/0.72 % (19594)Termination phase: Property scanning
% 1.81/0.72
% 1.81/0.72 % (19594)Memory used [KB]: 3965
% 1.81/0.72 % (19594)Time elapsed: 0.029 s
% 1.81/0.72 % (19594)Instructions burned: 37 (million)
% 1.81/0.72 % (19594)------------------------------
% 1.81/0.72 % (19594)------------------------------
% 1.81/0.72 % (19602)Instruction limit reached!
% 1.81/0.72 % (19602)------------------------------
% 1.81/0.72 % (19602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.72 % (19602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.72 % (19602)Termination reason: Unknown
% 1.81/0.72 % (19602)Termination phase: Saturation
% 1.81/0.72
% 1.81/0.72 % (19602)Memory used [KB]: 8699
% 1.81/0.72 % (19602)Time elapsed: 0.031 s
% 1.81/0.72 % (19602)Instructions burned: 51 (million)
% 1.81/0.72 % (19602)------------------------------
% 1.81/0.72 % (19602)------------------------------
% 2.11/0.73 % (19597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.73 % (19597)Termination reason: Unknown
% 2.11/0.73 % (19597)Termination phase: Saturation
% 2.11/0.73
% 2.11/0.73 % (19597)Memory used [KB]: 8571
% 2.11/0.73 % (19597)Time elapsed: 0.027 s
% 2.11/0.73 % (19597)Instructions burned: 50 (million)
% 2.11/0.73 % (19597)------------------------------
% 2.11/0.73 % (19597)------------------------------
% 2.11/0.73 % (19596)Instruction limit reached!
% 2.11/0.73 % (19596)------------------------------
% 2.11/0.73 % (19596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.74 % (19595)Instruction limit reached!
% 2.11/0.74 % (19595)------------------------------
% 2.11/0.74 % (19595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.74 % (19595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.74 % (19595)Termination reason: Unknown
% 2.19/0.74 % (19595)Termination phase: Saturation
% 2.19/0.74
% 2.19/0.74 % (19595)Memory used [KB]: 8955
% 2.19/0.74 % (19595)Time elapsed: 0.029 s
% 2.19/0.74 % (19595)Instructions burned: 51 (million)
% 2.19/0.74 % (19595)------------------------------
% 2.19/0.74 % (19595)------------------------------
% 2.19/0.75 % (19601)Instruction limit reached!
% 2.19/0.75 % (19601)------------------------------
% 2.19/0.75 % (19601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.75 % (19601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.75 % (19601)Termination reason: Unknown
% 2.19/0.75 % (19601)Termination phase: Saturation
% 2.19/0.75
% 2.19/0.75 % (19601)Memory used [KB]: 4477
% 2.19/0.75 % (19601)Time elapsed: 0.029 s
% 2.19/0.75 % (19601)Instructions burned: 51 (million)
% 2.19/0.75 % (19601)------------------------------
% 2.19/0.75 % (19601)------------------------------
% 2.19/0.75 % (19596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.75 % (19596)Termination reason: Unknown
% 2.19/0.75 % (19596)Termination phase: Property scanning
% 2.19/0.75
% 2.19/0.75 % (19596)Memory used [KB]: 3965
% 2.19/0.75 % (19596)Time elapsed: 0.029 s
% 2.19/0.75 % (19596)Instructions burned: 52 (million)
% 2.19/0.75 % (19596)------------------------------
% 2.19/0.75 % (19596)------------------------------
% 2.19/0.76 % (19609)Instruction limit reached!
% 2.19/0.76 % (19609)------------------------------
% 2.19/0.76 % (19609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.76 % (19609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.76 % (19609)Termination reason: Unknown
% 2.19/0.76 % (19609)Termination phase: Blocked clause elimination
% 2.19/0.76
% 2.19/0.76 % (19609)Memory used [KB]: 4605
% 2.19/0.76 % (19609)Time elapsed: 0.030 s
% 2.19/0.76 % (19609)Instructions burned: 60 (million)
% 2.19/0.76 % (19609)------------------------------
% 2.19/0.76 % (19609)------------------------------
% 2.19/0.77 % (19618)Instruction limit reached!
% 2.19/0.77 % (19618)------------------------------
% 2.19/0.77 % (19618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.77 % (19618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.77 % (19618)Termination reason: Unknown
% 2.19/0.77 % (19618)Termination phase: Saturation
% 2.19/0.77
% 2.19/0.77 % (19618)Memory used [KB]: 10746
% 2.19/0.77 % (19618)Time elapsed: 0.043 s
% 2.19/0.77 % (19618)Instructions burned: 68 (million)
% 2.19/0.77 % (19618)------------------------------
% 2.19/0.77 % (19618)------------------------------
% 2.19/0.77 % (19593)Instruction limit reached!
% 2.19/0.77 % (19593)------------------------------
% 2.19/0.77 % (19593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.77 % (19593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.77 % (19593)Termination reason: Unknown
% 2.19/0.77 % (19593)Termination phase: Saturation
% 2.19/0.77
% 2.19/0.77 % (19593)Memory used [KB]: 8955
% 2.19/0.77 % (19593)Time elapsed: 0.031 s
% 2.19/0.77 % (19593)Instructions burned: 51 (million)
% 2.19/0.77 % (19593)------------------------------
% 2.19/0.77 % (19593)------------------------------
% 2.19/0.77 % (19607)Instruction limit reached!
% 2.19/0.77 % (19607)------------------------------
% 2.19/0.77 % (19607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.77 % (19607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.77 % (19607)Termination reason: Unknown
% 2.19/0.77 % (19607)Termination phase: Saturation
% 2.19/0.77
% 2.19/0.77 % (19607)Memory used [KB]: 4605
% 2.19/0.77 % (19607)Time elapsed: 0.058 s
% 2.19/0.77 % (19607)Instructions burned: 75 (million)
% 2.19/0.77 % (19607)------------------------------
% 2.19/0.77 % (19607)------------------------------
% 2.19/0.77 % (19622)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)
% 2.19/0.78 % (19623)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.19/0.78 % (19611)Instruction limit reached!
% 2.19/0.78 % (19611)------------------------------
% 2.19/0.78 % (19611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.79 % (19608)Instruction limit reached!
% 2.19/0.79 % (19608)------------------------------
% 2.19/0.79 % (19608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.79 % (19608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.79 % (19608)Termination reason: Unknown
% 2.19/0.79 % (19608)Termination phase: Saturation
% 2.19/0.79
% 2.19/0.79 % (19608)Memory used [KB]: 9083
% 2.19/0.79 % (19608)Time elapsed: 0.279 s
% 2.19/0.79 % (19608)Instructions burned: 100 (million)
% 2.19/0.79 % (19608)------------------------------
% 2.19/0.79 % (19608)------------------------------
% 2.19/0.79 % (19611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.79 % (19611)Termination reason: Unknown
% 2.19/0.79 % (19611)Termination phase: Saturation
% 2.19/0.79
% 2.19/0.79 % (19611)Memory used [KB]: 4861
% 2.19/0.79 % (19611)Time elapsed: 0.053 s
% 2.19/0.79 % (19611)Instructions burned: 100 (million)
% 2.19/0.79 % (19611)------------------------------
% 2.19/0.79 % (19611)------------------------------
% 2.19/0.81 % (19624)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 (2997ds/90Mi)
% 2.19/0.81 % (19603)Instruction limit reached!
% 2.19/0.81 % (19603)------------------------------
% 2.19/0.81 % (19603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.82 % (19603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.82 % (19603)Termination reason: Unknown
% 2.63/0.82 % (19603)Termination phase: Saturation
% 2.63/0.82
% 2.63/0.82 % (19603)Memory used [KB]: 9722
% 2.63/0.82 % (19603)Time elapsed: 0.079 s
% 2.63/0.82 % (19603)Instructions burned: 100 (million)
% 2.63/0.82 % (19603)------------------------------
% 2.63/0.82 % (19603)------------------------------
% 2.63/0.83 % (19625)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.63/0.84 % (19627)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)
% 2.63/0.85 % (19605)Instruction limit reached!
% 2.63/0.85 % (19605)------------------------------
% 2.63/0.85 % (19605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.85 % (19605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.85 % (19605)Termination reason: Unknown
% 2.63/0.85 % (19605)Termination phase: Saturation
% 2.63/0.85
% 2.63/0.85 % (19605)Memory used [KB]: 9594
% 2.63/0.85 % (19605)Time elapsed: 0.059 s
% 2.63/0.85 % (19605)Instructions burned: 99 (million)
% 2.63/0.85 % (19605)------------------------------
% 2.63/0.85 % (19605)------------------------------
% 2.63/0.86 % (19630)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)
% 2.63/0.86 % (19610)Instruction limit reached!
% 2.63/0.86 % (19610)------------------------------
% 2.63/0.86 % (19610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.86 % (19610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.86 % (19610)Termination reason: Unknown
% 2.63/0.86 % (19610)Termination phase: Saturation
% 2.63/0.86
% 2.63/0.86 % (19610)Memory used [KB]: 9850
% 2.63/0.86 % (19610)Time elapsed: 0.061 s
% 2.63/0.86 % (19610)Instructions burned: 100 (million)
% 2.63/0.86 % (19610)------------------------------
% 2.63/0.86 % (19610)------------------------------
% 2.87/0.87 % (19626)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.87/0.87 % (19629)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)
% 2.87/0.87 % (19604)Instruction limit reached!
% 2.87/0.87 % (19604)------------------------------
% 2.87/0.87 % (19604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.87 % (19604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.87 % (19604)Termination reason: Unknown
% 2.87/0.87 % (19604)Termination phase: Saturation
% 2.87/0.87
% 2.87/0.87 % (19604)Memory used [KB]: 9850
% 2.87/0.87 % (19604)Time elapsed: 0.061 s
% 2.87/0.87 % (19604)Instructions burned: 102 (million)
% 2.87/0.87 % (19604)------------------------------
% 2.87/0.87 % (19604)------------------------------
% 2.87/0.88 % (19628)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)
% 2.87/0.88 % (19633)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.87/0.88 % (19613)Instruction limit reached!
% 2.87/0.88 % (19613)------------------------------
% 2.87/0.88 % (19613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.88 % (19613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.88 % (19613)Termination reason: Unknown
% 2.87/0.88 % (19613)Termination phase: Saturation
% 2.87/0.88
% 2.87/0.88 % (19613)Memory used [KB]: 10234
% 2.87/0.88 % (19613)Time elapsed: 0.133 s
% 2.87/0.88 % (19613)Instructions burned: 138 (million)
% 2.87/0.88 % (19613)------------------------------
% 2.87/0.88 % (19613)------------------------------
% 2.87/0.89 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.87/0.89 % (19631)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)
% 2.87/0.89 % (19632)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)
% 2.87/0.90 % (19637)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.87/0.92 % (19634)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 2.87/0.93 % (19636)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.87/0.93 % (19635)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.87/0.93 % (19619)Instruction limit reached!
% 2.87/0.93 % (19619)------------------------------
% 2.87/0.93 % (19619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.93 % (19619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.93 % (19619)Termination reason: Unknown
% 2.87/0.93 % (19619)Termination phase: Saturation
% 2.87/0.93
% 2.87/0.93 % (19619)Memory used [KB]: 6012
% 2.87/0.93 % (19619)Time elapsed: 0.438 s
% 2.87/0.93 % (19619)Instructions burned: 177 (million)
% 2.87/0.93 % (19619)------------------------------
% 2.87/0.93 % (19619)------------------------------
% 2.87/0.95 % (19638)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)
% 2.87/0.95 % (19624)Instruction limit reached!
% 2.87/0.95 % (19624)------------------------------
% 2.87/0.95 % (19624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.95 % (19624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.95 % (19624)Termination reason: Unknown
% 2.87/0.95 % (19624)Termination phase: Saturation
% 2.87/0.95
% 2.87/0.95 % (19624)Memory used [KB]: 8827
% 2.87/0.95 % (19624)Time elapsed: 0.271 s
% 2.87/0.95 % (19624)Instructions burned: 90 (million)
% 2.87/0.95 % (19624)------------------------------
% 2.87/0.95 % (19624)------------------------------
% 3.25/0.98 % (19629)Instruction limit reached!
% 3.25/0.98 % (19629)------------------------------
% 3.25/0.98 % (19629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.98 % (19629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.98 % (19629)Termination reason: Unknown
% 3.25/0.98 % (19629)Termination phase: Saturation
% 3.25/0.98
% 3.25/0.98 % (19629)Memory used [KB]: 10746
% 3.25/0.98 % (19629)Time elapsed: 0.034 s
% 3.25/0.98 % (19629)Instructions burned: 68 (million)
% 3.25/0.98 % (19629)------------------------------
% 3.25/0.98 % (19629)------------------------------
% 3.25/0.99 % (19612)Instruction limit reached!
% 3.25/0.99 % (19612)------------------------------
% 3.25/0.99 % (19612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.99 % (19612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.99 % (19612)Termination reason: Unknown
% 3.25/0.99 % (19612)Termination phase: Saturation
% 3.25/0.99
% 3.25/0.99 % (19612)Memory used [KB]: 10234
% 3.25/0.99 % (19612)Time elapsed: 0.096 s
% 3.25/0.99 % (19612)Instructions burned: 176 (million)
% 3.25/0.99 % (19612)------------------------------
% 3.25/0.99 % (19612)------------------------------
% 3.25/1.01 % (19641)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)
% 3.25/1.01 % (19642)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.25/1.02 % (19640)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.38/1.03 % (19643)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.38/1.03 % (19639)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)
% 3.38/1.03 % (19632)Instruction limit reached!
% 3.38/1.03 % (19632)------------------------------
% 3.38/1.03 % (19632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/1.03 % (19632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/1.03 % (19632)Termination reason: Unknown
% 3.38/1.03 % (19632)Termination phase: Saturation
% 3.38/1.03
% 3.38/1.03 % (19632)Memory used [KB]: 8955
% 3.38/1.03 % (19632)Time elapsed: 0.042 s
% 3.38/1.03 % (19632)Instructions burned: 90 (million)
% 3.38/1.03 % (19632)------------------------------
% 3.38/1.03 % (19632)------------------------------
% 4.71/1.09 % (19644)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)
% 4.71/1.12 % (19645)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 5.30/1.14 % (19646)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.30/1.15 % (19639)Instruction limit reached!
% 5.30/1.15 % (19639)------------------------------
% 5.30/1.15 % (19639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.30/1.15 % (19639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.30/1.15 % (19639)Termination reason: Unknown
% 5.30/1.15 % (19639)Termination phase: Saturation
% 5.30/1.15
% 5.30/1.15 % (19639)Memory used [KB]: 10746
% 5.30/1.15 % (19639)Time elapsed: 0.036 s
% 5.30/1.15 % (19639)Instructions burned: 68 (million)
% 5.30/1.15 % (19639)------------------------------
% 5.30/1.15 % (19639)------------------------------
% 5.30/1.17 % (19623)Instruction limit reached!
% 5.30/1.17 % (19623)------------------------------
% 5.30/1.17 % (19623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.30/1.17 % (19623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.30/1.17 % (19623)Termination reason: Unknown
% 5.30/1.17 % (19623)Termination phase: Saturation
% 5.30/1.17
% 5.30/1.17 % (19623)Memory used [KB]: 6396
% 5.30/1.17 % (19623)Time elapsed: 0.495 s
% 5.30/1.17 % (19623)Instructions burned: 212 (million)
% 5.30/1.17 % (19623)------------------------------
% 5.30/1.17 % (19623)------------------------------
% 5.75/1.21 % (19647)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.75/1.23 % (19644)Instruction limit reached!
% 5.75/1.23 % (19644)------------------------------
% 5.75/1.23 % (19644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.23 % (19644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.23 % (19644)Termination reason: Unknown
% 5.75/1.23 % (19644)Termination phase: Saturation
% 5.75/1.23
% 5.75/1.23 % (19644)Memory used [KB]: 8955
% 5.75/1.23 % (19644)Time elapsed: 0.241 s
% 5.75/1.23 % (19644)Instructions burned: 91 (million)
% 5.75/1.23 % (19644)------------------------------
% 5.75/1.23 % (19644)------------------------------
% 6.28/1.26 % (19648)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)
% 6.67/1.31 % (19650)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)
% 6.84/1.35 % (19620)Instruction limit reached!
% 6.84/1.35 % (19620)------------------------------
% 6.84/1.35 % (19620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.84/1.36 % (19620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.84/1.36 % (19620)Termination reason: Unknown
% 6.84/1.36 % (19620)Termination phase: Saturation
% 6.84/1.36
% 6.84/1.36 % (19620)Memory used [KB]: 14711
% 6.84/1.36 % (19620)Time elapsed: 0.845 s
% 6.84/1.36 % (19620)Instructions burned: 439 (million)
% 6.84/1.36 % (19620)------------------------------
% 6.84/1.36 % (19620)------------------------------
% 6.84/1.37 % (19651)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)
% 6.84/1.41 % (19621)Instruction limit reached!
% 6.84/1.41 % (19621)------------------------------
% 6.84/1.41 % (19621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.49/1.43 % (19621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.49/1.43 % (19621)Termination reason: Unknown
% 7.49/1.43 % (19621)Termination phase: Saturation
% 7.49/1.43
% 7.49/1.43 % (19621)Memory used [KB]: 12920
% 7.49/1.43 % (19621)Time elapsed: 0.909 s
% 7.49/1.43 % (19621)Instructions burned: 356 (million)
% 7.49/1.43 % (19621)------------------------------
% 7.49/1.43 % (19621)------------------------------
% 7.49/1.44 % (19622)Instruction limit reached!
% 7.49/1.44 % (19622)------------------------------
% 7.49/1.44 % (19622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.49/1.44 % (19622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.49/1.44 % (19622)Termination reason: Unknown
% 7.49/1.44 % (19622)Termination phase: Saturation
% 7.49/1.44
% 7.49/1.44 % (19622)Memory used [KB]: 11257
% 7.49/1.44 % (19622)Time elapsed: 0.749 s
% 7.49/1.44 % (19622)Instructions burned: 388 (million)
% 7.49/1.44 % (19622)------------------------------
% 7.49/1.44 % (19622)------------------------------
% 7.49/1.45 % (19617)Instruction limit reached!
% 7.49/1.45 % (19617)------------------------------
% 7.49/1.45 % (19617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.49/1.45 % (19617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.49/1.45 % (19617)Termination reason: Unknown
% 7.49/1.45 % (19617)Termination phase: Saturation
% 7.49/1.45
% 7.49/1.45 % (19617)Memory used [KB]: 14200
% 7.49/1.45 % (19617)Time elapsed: 0.927 s
% 7.49/1.45 % (19617)Instructions burned: 501 (million)
% 7.49/1.45 % (19617)------------------------------
% 7.49/1.45 % (19617)------------------------------
% 7.49/1.48 % (19615)Instruction limit reached!
% 7.49/1.48 % (19615)------------------------------
% 7.49/1.48 % (19615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.89/1.49 % (19615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.89/1.49 % (19615)Termination reason: Unknown
% 7.89/1.49 % (19615)Termination phase: Saturation
% 7.89/1.49
% 7.89/1.49 % (19615)Memory used [KB]: 12920
% 7.89/1.49 % (19615)Time elapsed: 0.942 s
% 7.89/1.49 % (19615)Instructions burned: 469 (million)
% 7.89/1.49 % (19615)------------------------------
% 7.89/1.49 % (19615)------------------------------
% 7.89/1.50 % (19614)Instruction limit reached!
% 7.89/1.50 % (19614)------------------------------
% 7.89/1.50 % (19614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.89/1.50 % (19614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.89/1.50 % (19614)Termination reason: Unknown
% 7.89/1.50 % (19614)Termination phase: Saturation
% 7.89/1.50
% 7.89/1.50 % (19614)Memory used [KB]: 6012
% 7.89/1.50 % (19614)Time elapsed: 0.997 s
% 7.89/1.50 % (19614)Instructions burned: 499 (million)
% 7.89/1.50 % (19614)------------------------------
% 7.89/1.50 % (19614)------------------------------
% 7.89/1.50 % (19655)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.42/1.58 % (19656)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.42/1.59 % (19658)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)
% 8.42/1.59 % (19657)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.42/1.61 % (19616)Instruction limit reached!
% 8.42/1.61 % (19616)------------------------------
% 8.42/1.61 % (19616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.61 % (19616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.61 % (19616)Termination reason: Unknown
% 8.42/1.61 % (19616)Termination phase: Saturation
% 8.42/1.61
% 8.42/1.61 % (19616)Memory used [KB]: 13048
% 8.42/1.61 % (19616)Time elapsed: 0.846 s
% 8.42/1.61 % (19616)Instructions burned: 483 (million)
% 8.42/1.61 % (19616)------------------------------
% 8.42/1.61 % (19616)------------------------------
% 8.42/1.63 % (19659)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)
% 8.42/1.64 % (19660)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 (2988ds/35256Mi)
% 9.62/1.67 TRYING [1]
% 9.62/1.70 % (19657)Instruction limit reached!
% 9.62/1.70 % (19657)------------------------------
% 9.62/1.70 % (19657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.62/1.72 % (19657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.62/1.72 % (19657)Termination reason: Unknown
% 9.62/1.72 % (19657)Termination phase: Saturation
% 9.62/1.72
% 9.62/1.72 % (19657)Memory used [KB]: 8955
% 9.62/1.72 % (19657)Time elapsed: 0.221 s
% 9.62/1.72 % (19657)Instructions burned: 91 (million)
% 9.62/1.72 % (19657)------------------------------
% 9.62/1.72 % (19657)------------------------------
% 10.27/1.78 % (19661)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)
% 10.84/1.89 % (19662)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)
% 11.37/1.95 % (19628)Instruction limit reached!
% 11.37/1.95 % (19628)------------------------------
% 11.37/1.95 % (19628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.37/1.95 % (19628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.37/1.95 % (19628)Termination reason: Unknown
% 11.37/1.95 % (19628)Termination phase: Saturation
% 11.37/1.95
% 11.37/1.95 % (19628)Memory used [KB]: 6396
% 11.37/1.95 % (19628)Time elapsed: 1.173 s
% 11.37/1.95 % (19628)Instructions burned: 655 (million)
% 11.37/1.95 % (19628)------------------------------
% 11.37/1.95 % (19628)------------------------------
% 11.37/1.95 % (19627)Instruction limit reached!
% 11.37/1.95 % (19627)------------------------------
% 11.37/1.95 % (19627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.37/1.95 % (19627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.37/1.95 % (19627)Termination reason: Unknown
% 11.37/1.95 % (19627)Termination phase: Saturation
% 11.37/1.95
% 11.37/1.95 % (19627)Memory used [KB]: 14583
% 11.37/1.95 % (19627)Time elapsed: 1.204 s
% 11.37/1.95 % (19627)Instructions burned: 747 (million)
% 11.37/1.95 % (19627)------------------------------
% 11.37/1.95 % (19627)------------------------------
% 12.65/2.09 % (19664)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 (2984ds/29337Mi)
% 12.95/2.13 % (19663)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/10187Mi)
% 15.86/2.48 % (19626)Instruction limit reached!
% 15.86/2.48 % (19626)------------------------------
% 15.86/2.48 % (19626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.86/2.48 % (19626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.86/2.48 % (19626)Termination reason: Unknown
% 15.86/2.48 % (19626)Termination phase: Saturation
% 15.86/2.48
% 15.86/2.48 % (19626)Memory used [KB]: 24306
% 15.86/2.48 % (19626)Time elapsed: 1.735 s
% 15.86/2.48 % (19626)Instructions burned: 935 (million)
% 15.86/2.48 % (19626)------------------------------
% 15.86/2.48 % (19626)------------------------------
% 16.54/2.55 % (19631)Instruction limit reached!
% 16.54/2.55 % (19631)------------------------------
% 16.54/2.55 % (19631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.54/2.55 % (19631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.54/2.55 % (19631)Termination reason: Unknown
% 16.54/2.55 % (19631)Termination phase: Saturation
% 16.54/2.55
% 16.54/2.55 % (19631)Memory used [KB]: 23794
% 16.54/2.55 % (19631)Time elapsed: 1.733 s
% 16.54/2.55 % (19631)Instructions burned: 982 (million)
% 16.54/2.55 % (19631)------------------------------
% 16.54/2.55 % (19631)------------------------------
% 16.54/2.55 % (19625)Instruction limit reached!
% 16.54/2.55 % (19625)------------------------------
% 16.54/2.55 % (19625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.54/2.55 % (19625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.54/2.55 % (19625)Termination reason: Unknown
% 16.54/2.55 % (19625)Termination phase: Saturation
% 16.54/2.55
% 16.54/2.55 % (19625)Memory used [KB]: 26481
% 16.54/2.55 % (19625)Time elapsed: 1.816 s
% 16.54/2.55 % (19625)Instructions burned: 920 (million)
% 16.54/2.55 % (19625)------------------------------
% 16.54/2.55 % (19625)------------------------------
% 16.54/2.55 % (19630)Instruction limit reached!
% 16.54/2.55 % (19630)------------------------------
% 16.54/2.55 % (19630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.54/2.55 % (19630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.54/2.55 % (19630)Termination reason: Unknown
% 16.54/2.55 % (19630)Termination phase: Saturation
% 16.54/2.55
% 16.54/2.55 % (19630)Memory used [KB]: 15223
% 16.54/2.55 % (19630)Time elapsed: 1.773 s
% 16.54/2.55 % (19630)Instructions burned: 941 (million)
% 16.54/2.55 % (19630)------------------------------
% 16.54/2.55 % (19630)------------------------------
% 17.37/2.68 % (19665)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 (2978ds/10147Mi)
% 17.37/2.70 % (19667)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/33239Mi)
% 17.37/2.70 % (19668)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/20987Mi)
% 17.37/2.73 % (19666)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/38056Mi)
% 20.39/3.03 TRYING [2]
% 20.39/3.04 % (19640)First to succeed.
% 20.39/3.07 % (19640)Refutation found. Thanks to Tanya!
% 20.39/3.07 % SZS status Unsatisfiable for theBenchmark
% 20.39/3.07 % SZS output start Proof for theBenchmark
% See solution above
% 20.39/3.08 % (19640)------------------------------
% 20.39/3.08 % (19640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.39/3.08 % (19640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.39/3.08 % (19640)Termination reason: Refutation
% 20.39/3.08
% 20.39/3.08 % (19640)Memory used [KB]: 15607
% 20.39/3.08 % (19640)Time elapsed: 2.132 s
% 20.39/3.08 % (19640)Instructions burned: 1148 (million)
% 20.39/3.08 % (19640)------------------------------
% 20.39/3.08 % (19640)------------------------------
% 20.39/3.08 % (19591)Success in time 2.71 s
%------------------------------------------------------------------------------