TSTP Solution File: SWV272-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV272-1 : 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 : n015.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 18:56:06 EDT 2022

% Result   : Unsatisfiable 9.40s 1.63s
% Output   : Refutation 9.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  368
% Syntax   : Number of formulae    :  608 ( 345 unt;   0 def)
%            Number of atoms       :  910 ( 163 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  435 ( 133   ~; 120   |;   0   &)
%                                         ( 182 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :  247 ( 245 usr; 183 prp; 0-3 aty)
%            Number of functors    :   72 (  72 usr;  43 con; 0-3 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4370,plain,
    $false,
    inference(avatar_smt_refutation,[],[f3057,f3062,f3067,f3072,f3077,f3082,f3087,f3092,f3097,f3102,f3108,f3113,f3118,f3123,f3128,f3133,f3138,f3146,f3151,f3156,f3161,f3162,f3167,f3172,f3177,f3182,f3187,f3192,f3197,f3202,f3207,f3212,f3217,f3222,f3231,f3238,f3243,f3248,f3253,f3256,f3261,f3267,f3272,f3277,f3285,f3291,f3297,f3302,f3307,f3312,f3317,f3322,f3327,f3332,f3337,f3338,f3343,f3349,f3354,f3360,f3365,f3370,f3376,f3381,f3389,f3395,f3401,f3406,f3411,f3416,f3421,f3426,f3431,f3436,f3441,f3446,f3452,f3457,f3462,f3467,f3473,f3478,f3483,f3489,f3494,f3501,f3509,f3514,f3519,f3525,f3530,f3535,f3540,f3545,f3550,f3558,f3561,f3566,f3572,f3577,f3582,f3588,f3593,f3598,f3603,f3609,f3614,f3616,f3621,f3626,f3632,f3638,f3643,f3648,f3654,f3659,f3664,f3669,f3674,f3679,f3684,f3689,f3694,f3699,f3705,f3710,f3715,f3723,f3728,f3733,f3738,f3744,f3749,f3754,f3759,f3765,f3775,f3782,f3787,f3792,f3797,f3802,f3807,f3808,f3813,f3818,f3823,f3828,f3833,f3838,f3839,f3840,f3846,f3851,f3859,f3864,f3871,f3876,f3882,f3889,f3894,f3899,f3904,f3909,f3914,f3919,f3924,f3931,f3936,f3946,f3951,f4052,f4058,f4064,f4071,f4076,f4082,f4126,f4135,f4168,f4226,f4254,f4346,f4353,f4359,f4361,f4368,f4369]) ).

fof(f4369,plain,
    ( spl0_173
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f4362,f4247,f4123]) ).

fof(f4123,plain,
    ( spl0_173
  <=> c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f4247,plain,
    ( spl0_177
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f4362,plain,
    ( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_177 ),
    inference(resolution,[],[f4249,f2823]) ).

fof(f2823,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_0) ).

fof(f4249,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f4247]) ).

fof(f4368,plain,
    ( spl0_182
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f4363,f4247,f4365]) ).

fof(f4365,plain,
    ( spl0_182
  <=> c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f4363,plain,
    ( c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg))
    | ~ spl0_177 ),
    inference(resolution,[],[f4249,f2804]) ).

fof(f2804,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(f4361,plain,
    ( spl0_181
    | spl0_174
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f4360,f4251,f4132,f4356]) ).

fof(f4356,plain,
    ( spl0_181
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f4132,plain,
    ( spl0_174
  <=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4251,plain,
    ( spl0_178
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f4360,plain,
    ( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
    | ~ spl0_178 ),
    inference(resolution,[],[f4253,f2773]) ).

fof(f2773,axiom,
    ! [X91,X88,X86] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Osynth(X88),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X91,X86),X88,tc_Message_Omsg)
      | c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).

fof(f4253,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f4251]) ).

fof(f4359,plain,
    ( ~ spl0_181
    | spl0_177 ),
    inference(avatar_split_clause,[],[f4354,f4247,f4356]) ).

fof(f4354,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
    | spl0_177 ),
    inference(resolution,[],[f4248,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(f4248,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f4247]) ).

fof(f4353,plain,
    ( spl0_180
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f4348,f4165,f4350]) ).

fof(f4350,plain,
    ( spl0_180
  <=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f4165,plain,
    ( spl0_175
  <=> c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f4348,plain,
    ( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg))
    | ~ spl0_175 ),
    inference(resolution,[],[f4167,f2804]) ).

fof(f4167,plain,
    ( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f4165]) ).

fof(f4346,plain,
    ( ~ spl0_179
    | spl0_173 ),
    inference(avatar_split_clause,[],[f4341,f4123,f4343]) ).

fof(f4343,plain,
    ( spl0_179
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f4341,plain,
    ( ~ c_in(v_X,v_H,tc_Message_Omsg)
    | spl0_173 ),
    inference(resolution,[],[f4125,f2767]) ).

fof(f4125,plain,
    ( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f4123]) ).

fof(f4254,plain,
    ( spl0_177
    | spl0_178
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f4235,f3094,f4251,f4247]) ).

fof(f3094,plain,
    ( spl0_9
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f4235,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(resolution,[],[f2640,f3096]) ).

fof(f3096,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f3094]) ).

fof(f2640,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1)
      | c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

fof(f4226,plain,
    ( spl0_176
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f4218,f3666,f4223]) ).

fof(f4223,plain,
    ( spl0_176
  <=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f3666,plain,
    ( spl0_116
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f4218,plain,
    ( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg))
    | ~ spl0_116 ),
    inference(resolution,[],[f2804,f3668]) ).

fof(f3668,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f3666]) ).

fof(f4168,plain,
    ( spl0_175
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f4160,f3666,f4165]) ).

fof(f4160,plain,
    ( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_116 ),
    inference(resolution,[],[f2823,f3668]) ).

fof(f4135,plain,
    ( ~ spl0_174
    | spl0_24 ),
    inference(avatar_split_clause,[],[f4127,f3169,f4132]) ).

fof(f3169,plain,
    ( spl0_24
  <=> c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f4127,plain,
    ( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_24 ),
    inference(resolution,[],[f2642,f3171]) ).

fof(f3171,plain,
    ( ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f3169]) ).

fof(f2642,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f4126,plain,
    ( ~ spl0_173
    | spl0_24 ),
    inference(avatar_split_clause,[],[f4118,f3169,f4123]) ).

fof(f4118,plain,
    ( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_24 ),
    inference(resolution,[],[f2641,f3171]) ).

fof(f2641,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f4082,plain,
    ( spl0_172
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f4077,f3799,f3225,f4079]) ).

fof(f4079,plain,
    ( spl0_172
  <=> c_1 = c_times(c_1,c_1,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f3225,plain,
    ( spl0_35
  <=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3799,plain,
    ( spl0_140
  <=> 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_140])]) ).

fof(f4077,plain,
    ( c_1 = c_times(c_1,c_1,tc_nat)
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(forward_demodulation,[],[f3801,f3227]) ).

fof(f3227,plain,
    ( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f3225]) ).

fof(f3801,plain,
    ( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f3799]) ).

fof(f4076,plain,
    ( spl0_171
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f4065,f3906,f3219,f4073]) ).

fof(f4073,plain,
    ( spl0_171
  <=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3219,plain,
    ( spl0_34
  <=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3906,plain,
    ( spl0_159
  <=> c_0 = c_IntDef_Oint(c_0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f4065,plain,
    ( c_0 = c_uminus(c_0,tc_IntDef_Oint)
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(backward_demodulation,[],[f3221,f3908]) ).

fof(f3908,plain,
    ( c_0 = c_IntDef_Oint(c_0)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f3906]) ).

fof(f3221,plain,
    ( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f3219]) ).

fof(f4071,plain,
    ( spl0_170
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f4066,f3906,f3843,f4068]) ).

fof(f4068,plain,
    ( spl0_170
  <=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3843,plain,
    ( spl0_148
  <=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f4066,plain,
    ( c_lessequals(c_0,c_0,tc_IntDef_Oint)
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(backward_demodulation,[],[f3845,f3908]) ).

fof(f3845,plain,
    ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f3843]) ).

fof(f4064,plain,
    ( spl0_169
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f4059,f3879,f3789,f4061]) ).

fof(f4061,plain,
    ( spl0_169
  <=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3789,plain,
    ( spl0_138
  <=> 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_138])]) ).

fof(f3879,plain,
    ( spl0_154
  <=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f4059,plain,
    ( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(forward_demodulation,[],[f3791,f3881]) ).

fof(f3881,plain,
    ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f3879]) ).

fof(f3791,plain,
    ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f3789]) ).

fof(f4058,plain,
    ( spl0_168
    | ~ spl0_117
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f4053,f3879,f3671,f4055]) ).

fof(f4055,plain,
    ( spl0_168
  <=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3671,plain,
    ( spl0_117
  <=> 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_117])]) ).

fof(f4053,plain,
    ( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
    | ~ spl0_117
    | ~ spl0_154 ),
    inference(forward_demodulation,[],[f3673,f3881]) ).

fof(f3673,plain,
    ( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f3671]) ).

fof(f4052,plain,
    ( spl0_167
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f4047,f3309,f3225,f4049]) ).

fof(f4049,plain,
    ( spl0_167
  <=> c_1 = c_IntDef_Onat(c_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3309,plain,
    ( spl0_50
  <=> 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_50])]) ).

fof(f4047,plain,
    ( c_1 = c_IntDef_Onat(c_1)
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(backward_demodulation,[],[f3311,f3227]) ).

fof(f3311,plain,
    ( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f3309]) ).

fof(f3951,plain,
    spl0_166,
    inference(avatar_split_clause,[],[f143,f3948]) ).

fof(f3948,plain,
    ( spl0_166
  <=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f143,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).

fof(f3946,plain,
    spl0_165,
    inference(avatar_split_clause,[],[f223,f3943]) ).

fof(f3943,plain,
    ( spl0_165
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f223,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).

fof(f3936,plain,
    spl0_164,
    inference(avatar_split_clause,[],[f2105,f3933]) ).

fof(f3933,plain,
    ( spl0_164
  <=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

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(f3931,plain,
    spl0_163,
    inference(avatar_split_clause,[],[f149,f3928]) ).

fof(f3928,plain,
    ( spl0_163
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

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(f3924,plain,
    spl0_162,
    inference(avatar_split_clause,[],[f153,f3921]) ).

fof(f3921,plain,
    ( spl0_162
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

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(f3919,plain,
    spl0_161,
    inference(avatar_split_clause,[],[f131,f3916]) ).

fof(f3916,plain,
    ( spl0_161
  <=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f131,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).

fof(f3914,plain,
    spl0_160,
    inference(avatar_split_clause,[],[f147,f3911]) ).

fof(f3911,plain,
    ( spl0_160
  <=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f147,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).

fof(f3909,plain,
    spl0_159,
    inference(avatar_split_clause,[],[f1374,f3906]) ).

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(f3904,plain,
    spl0_158,
    inference(avatar_split_clause,[],[f130,f3901]) ).

fof(f3901,plain,
    ( spl0_158
  <=> class_HOL_Oone(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f130,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).

fof(f3899,plain,
    spl0_157,
    inference(avatar_split_clause,[],[f176,f3896]) ).

fof(f3896,plain,
    ( spl0_157
  <=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f176,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).

fof(f3894,plain,
    spl0_156,
    inference(avatar_split_clause,[],[f218,f3891]) ).

fof(f3891,plain,
    ( spl0_156
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f218,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).

fof(f3889,plain,
    spl0_155,
    inference(avatar_split_clause,[],[f174,f3886]) ).

fof(f3886,plain,
    ( spl0_155
  <=> class_Orderings_Oord(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f174,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).

fof(f3882,plain,
    spl0_154,
    inference(avatar_split_clause,[],[f2156,f3879]) ).

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(f3876,plain,
    spl0_153,
    inference(avatar_split_clause,[],[f1686,f3873]) ).

fof(f3873,plain,
    ( spl0_153
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

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(f3871,plain,
    spl0_152,
    inference(avatar_split_clause,[],[f229,f3868]) ).

fof(f3868,plain,
    ( spl0_152
  <=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f229,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).

fof(f3864,plain,
    spl0_151,
    inference(avatar_split_clause,[],[f198,f3861]) ).

fof(f3861,plain,
    ( spl0_151
  <=> class_HOL_Oone(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f198,axiom,
    class_HOL_Oone(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).

fof(f3859,plain,
    spl0_150,
    inference(avatar_split_clause,[],[f1254,f3856]) ).

fof(f3856,plain,
    ( spl0_150
  <=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

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(f3851,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f148,f3848]) ).

fof(f3848,plain,
    ( spl0_149
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

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(f3846,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f1377,f3843]) ).

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(f3840,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f2853,f3799]) ).

fof(f2853,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(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(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(f3839,plain,
    ~ spl0_38,
    inference(avatar_split_clause,[],[f1251,f3240]) ).

fof(f3240,plain,
    ( spl0_38
  <=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

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(f3838,plain,
    spl0_147,
    inference(avatar_split_clause,[],[f2912,f3835]) ).

fof(f3835,plain,
    ( spl0_147
  <=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2912,plain,
    c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls),
    inference(definition_unfolding,[],[f2134,f2112]) ).

fof(f2112,axiom,
    ! [X11] : c_Numeral_Obin__add(c_Numeral_OMin,X11) = c_Numeral_Obin__pred(X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).

fof(f2134,axiom,
    c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).

fof(f3833,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f166,f3830]) ).

fof(f3830,plain,
    ( spl0_146
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

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(f3828,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f195,f3825]) ).

fof(f3825,plain,
    ( spl0_145
  <=> class_Finite__Set_Ofinite(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f195,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).

fof(f3823,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f172,f3820]) ).

fof(f3820,plain,
    ( spl0_144
  <=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f172,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).

fof(f3818,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f180,f3815]) ).

fof(f3815,plain,
    ( spl0_143
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

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(f3813,plain,
    spl0_142,
    inference(avatar_split_clause,[],[f211,f3810]) ).

fof(f3810,plain,
    ( spl0_142
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f211,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).

fof(f3808,plain,
    spl0_130,
    inference(avatar_split_clause,[],[f2049,f3741]) ).

fof(f3741,plain,
    ( spl0_130
  <=> c_less(c_0,c_1,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2049,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).

fof(f3807,plain,
    spl0_141,
    inference(avatar_split_clause,[],[f233,f3804]) ).

fof(f3804,plain,
    ( spl0_141
  <=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f233,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).

fof(f3802,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f2900,f3799]) ).

fof(f2900,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(f3797,plain,
    spl0_139,
    inference(avatar_split_clause,[],[f167,f3794]) ).

fof(f3794,plain,
    ( spl0_139
  <=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

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(f3792,plain,
    spl0_138,
    inference(avatar_split_clause,[],[f2917,f3789]) ).

fof(f2917,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(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(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(f3787,plain,
    spl0_137,
    inference(avatar_split_clause,[],[f234,f3784]) ).

fof(f3784,plain,
    ( spl0_137
  <=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f234,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).

fof(f3782,plain,
    spl0_136,
    inference(avatar_split_clause,[],[f164,f3779]) ).

fof(f3779,plain,
    ( spl0_136
  <=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f164,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).

fof(f3775,plain,
    spl0_135,
    inference(avatar_split_clause,[],[f2528,f3772]) ).

fof(f3772,plain,
    ( spl0_135
  <=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

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(f3765,plain,
    spl0_134,
    inference(avatar_split_clause,[],[f2534,f3762]) ).

fof(f3762,plain,
    ( spl0_134
  <=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

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(f3759,plain,
    spl0_133,
    inference(avatar_split_clause,[],[f212,f3756]) ).

fof(f3756,plain,
    ( spl0_133
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f212,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).

fof(f3754,plain,
    spl0_132,
    inference(avatar_split_clause,[],[f1678,f3751]) ).

fof(f3751,plain,
    ( spl0_132
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

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(f3749,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f138,f3746]) ).

fof(f3746,plain,
    ( spl0_131
  <=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f138,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).

fof(f3744,plain,
    spl0_130,
    inference(avatar_split_clause,[],[f3739,f3741]) ).

fof(f3739,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(f3738,plain,
    spl0_129,
    inference(avatar_split_clause,[],[f157,f3735]) ).

fof(f3735,plain,
    ( spl0_129
  <=> class_LOrder_Olorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f157,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).

fof(f3733,plain,
    ( ~ spl0_19
    | spl0_128 ),
    inference(avatar_split_clause,[],[f3729,f3731,f3143]) ).

fof(f3143,plain,
    ( spl0_19
  <=> c_0 = c_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f3731,plain,
    ( spl0_128
  <=> ! [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_128])]) ).

fof(f3729,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(f3728,plain,
    spl0_127,
    inference(avatar_split_clause,[],[f160,f3725]) ).

fof(f3725,plain,
    ( spl0_127
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

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(f3723,plain,
    spl0_126,
    inference(avatar_split_clause,[],[f230,f3720]) ).

fof(f3720,plain,
    ( spl0_126
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f230,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).

fof(f3715,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f2737,f3712]) ).

fof(f3712,plain,
    ( spl0_125
  <=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

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(f3710,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f2791,f3707]) ).

fof(f3707,plain,
    ( spl0_124
  <=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2791,axiom,
    c_emptyset = c_Message_Oanalz(c_emptyset),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__empty_0) ).

fof(f3705,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f213,f3702]) ).

fof(f3702,plain,
    ( spl0_123
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f213,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).

fof(f3699,plain,
    spl0_122,
    inference(avatar_split_clause,[],[f173,f3696]) ).

fof(f3696,plain,
    ( spl0_122
  <=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f173,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).

fof(f3694,plain,
    spl0_121,
    inference(avatar_split_clause,[],[f224,f3691]) ).

fof(f3691,plain,
    ( spl0_121
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f224,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).

fof(f3689,plain,
    spl0_120,
    inference(avatar_split_clause,[],[f171,f3686]) ).

fof(f3686,plain,
    ( spl0_120
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f171,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).

fof(f3684,plain,
    spl0_119,
    inference(avatar_split_clause,[],[f178,f3681]) ).

fof(f3681,plain,
    ( spl0_119
  <=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f178,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).

fof(f3679,plain,
    spl0_118,
    inference(avatar_split_clause,[],[f236,f3676]) ).

fof(f3676,plain,
    ( spl0_118
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f236,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).

fof(f3674,plain,
    spl0_117,
    inference(avatar_split_clause,[],[f1867,f3671]) ).

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(f3669,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f2826,f3666]) ).

fof(f2826,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f3664,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f150,f3661]) ).

fof(f3661,plain,
    ( spl0_115
  <=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f150,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).

fof(f3659,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f215,f3656]) ).

fof(f3656,plain,
    ( spl0_114
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f215,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).

fof(f3654,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f1682,f3651]) ).

fof(f3651,plain,
    ( spl0_113
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

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(f3648,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f133,f3645]) ).

fof(f3645,plain,
    ( spl0_112
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f133,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).

fof(f3643,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f161,f3640]) ).

fof(f3640,plain,
    ( spl0_111
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

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(f3638,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f162,f3635]) ).

fof(f3635,plain,
    ( spl0_110
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

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(f3632,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f221,f3629]) ).

fof(f3629,plain,
    ( spl0_109
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f221,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).

fof(f3626,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f135,f3623]) ).

fof(f3623,plain,
    ( spl0_108
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

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(f3621,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f2043,f3618]) ).

fof(f3618,plain,
    ( spl0_107
  <=> c_lessequals(c_0,c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

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(f3616,plain,
    ~ spl0_12,
    inference(avatar_split_clause,[],[f2732,f3110]) ).

fof(f3110,plain,
    ( spl0_12
  <=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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(f3614,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f2567,f3611]) ).

fof(f3611,plain,
    ( spl0_106
  <=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

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(f3609,plain,
    ~ spl0_105,
    inference(avatar_split_clause,[],[f1309,f3606]) ).

fof(f3606,plain,
    ( spl0_105
  <=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

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(f3603,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f2164,f3600]) ).

fof(f3600,plain,
    ( spl0_104
  <=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

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(f3598,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f1184,f3595]) ).

fof(f3595,plain,
    ( spl0_103
  <=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

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(f3593,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f232,f3590]) ).

fof(f3590,plain,
    ( spl0_102
  <=> class_LOrder_Omeet__semilorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f232,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).

fof(f3588,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f175,f3585]) ).

fof(f3585,plain,
    ( spl0_101
  <=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f175,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).

fof(f3582,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f1677,f3579]) ).

fof(f3579,plain,
    ( spl0_100
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

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(f3577,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f228,f3574]) ).

fof(f3574,plain,
    ( spl0_99
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f228,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).

fof(f3572,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f183,f3569]) ).

fof(f3569,plain,
    ( spl0_98
  <=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f183,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).

fof(f3566,plain,
    ( spl0_96
    | spl0_97 ),
    inference(avatar_split_clause,[],[f3562,f3564,f3556]) ).

fof(f3556,plain,
    ( spl0_96
  <=> ! [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_96])]) ).

fof(f3564,plain,
    ( spl0_97
  <=> ! [X1] :
        ( ~ class_Ring__and__Field_Oordered__idom(X1)
        | ~ class_Power_Orecpower(X1)
        | ~ c_less(c_0,c_0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3562,plain,
    ! [X11,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | ~ c_less(c_0,c_0,X1)
      | ~ class_Power_Orecpower(X1)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
      | c_0 = c_Numeral_Onumber__of(X11,tc_nat) ),
    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] :
      ( ~ class_Power_Orecpower(X1)
      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1),X1)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
      | c_0 = c_Numeral_Onumber__of(X11,tc_nat)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).

fof(f3561,plain,
    ~ spl0_90,
    inference(avatar_split_clause,[],[f2159,f3527]) ).

fof(f3527,plain,
    ( spl0_90
  <=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

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(f3558,plain,
    ( spl0_95
    | spl0_96 ),
    inference(avatar_split_clause,[],[f3551,f3556,f3553]) ).

fof(f3553,plain,
    ( spl0_95
  <=> ! [X1] :
        ( ~ class_Power_Orecpower(X1)
        | ~ class_Ring__and__Field_Oordered__idom(X1)
        | c_lessequals(c_0,c_0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3551,plain,
    ! [X11,X1] :
      ( c_0 = c_Numeral_Onumber__of(X11,tc_nat)
      | ~ class_Power_Orecpower(X1)
      | c_lessequals(c_0,c_0,X1)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(forward_subsumption_demodulation,[],[f2322,f2312]) ).

fof(f2322,axiom,
    ! [X11,X1] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
      | ~ class_Ring__and__Field_Oordered__idom(X1)
      | c_0 = c_Numeral_Onumber__of(X11,tc_nat)
      | c_lessequals(c_Nat_Opower(c_0,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__le__zero__eq__number__of_5) ).

fof(f3550,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f216,f3547]) ).

fof(f3547,plain,
    ( spl0_94
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f216,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_25) ).

fof(f3545,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f170,f3542]) ).

fof(f3542,plain,
    ( spl0_93
  <=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

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(f3540,plain,
    ~ spl0_92,
    inference(avatar_split_clause,[],[f2310,f3537]) ).

fof(f3537,plain,
    ( spl0_92
  <=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2310,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).

fof(f3535,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f1350,f3532]) ).

fof(f3532,plain,
    ( spl0_91
  <=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

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(f3530,plain,
    ~ spl0_90,
    inference(avatar_split_clause,[],[f2160,f3527]) ).

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(f3525,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f168,f3522]) ).

fof(f3522,plain,
    ( spl0_89
  <=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

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(f3519,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f219,f3516]) ).

fof(f3516,plain,
    ( spl0_88
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f219,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).

fof(f3514,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f158,f3511]) ).

fof(f3511,plain,
    ( spl0_87
  <=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f158,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).

fof(f3509,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f210,f3506]) ).

fof(f3506,plain,
    ( spl0_86
  <=> class_Orderings_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f210,axiom,
    class_Orderings_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).

fof(f3501,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f165,f3498]) ).

fof(f3498,plain,
    ( spl0_85
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

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(f3494,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f154,f3491]) ).

fof(f3491,plain,
    ( spl0_84
  <=> class_Orderings_Oorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f154,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).

fof(f3489,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f136,f3486]) ).

fof(f3486,plain,
    ( spl0_83
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f136,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).

fof(f3483,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f142,f3480]) ).

fof(f3480,plain,
    ( spl0_82
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

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(f3478,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f203,f3475]) ).

fof(f3475,plain,
    ( spl0_81
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f203,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).

fof(f3473,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f2955,f3470]) ).

fof(f3470,plain,
    ( spl0_80
  <=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2955,plain,
    c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
    inference(definition_unfolding,[],[f2126,f2129]) ).

fof(f2126,axiom,
    c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).

fof(f3467,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f2290,f3464]) ).

fof(f3464,plain,
    ( spl0_79
  <=> c_Parity_Oeven(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2290,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).

fof(f3462,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f227,f3459]) ).

fof(f3459,plain,
    ( spl0_78
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f227,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).

fof(f3457,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f186,f3454]) ).

fof(f3454,plain,
    ( spl0_77
  <=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f186,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).

fof(f3452,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f146,f3449]) ).

fof(f3449,plain,
    ( spl0_76
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f146,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).

fof(f3446,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f159,f3443]) ).

fof(f3443,plain,
    ( spl0_75
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f159,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).

fof(f3441,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f1673,f3438]) ).

fof(f3438,plain,
    ( spl0_74
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

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(f3436,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f126,f3433]) ).

fof(f3433,plain,
    ( spl0_73
  <=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

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(f3431,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f144,f3428]) ).

fof(f3428,plain,
    ( spl0_72
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

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(f3426,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f222,f3423]) ).

fof(f3423,plain,
    ( spl0_71
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f222,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).

fof(f3421,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f1685,f3418]) ).

fof(f3418,plain,
    ( spl0_70
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

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(f3416,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f1866,f3413]) ).

fof(f3413,plain,
    ( spl0_69
  <=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

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(f3411,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f137,f3408]) ).

fof(f3408,plain,
    ( spl0_68
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f137,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).

fof(f3406,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f208,f3403]) ).

fof(f3403,plain,
    ( spl0_67
  <=> class_Ring__and__Field_Osemiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f208,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).

fof(f3401,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f1681,f3398]) ).

fof(f3398,plain,
    ( spl0_66
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1681,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).

fof(f3395,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f1680,f3392]) ).

fof(f3392,plain,
    ( spl0_65
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

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(f3389,plain,
    ( spl0_36
    | spl0_64 ),
    inference(avatar_split_clause,[],[f3385,f3387,f3229]) ).

fof(f3229,plain,
    ( spl0_36
  <=> ! [X47] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3387,plain,
    ( spl0_64
  <=> ! [X1] :
        ( c_0 = c_NatArith_Oof__nat(c_0,X1)
        | ~ class_Numeral_Onumber__ring(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f3385,plain,
    ! [X1,X47] :
      ( c_0 = c_NatArith_Oof__nat(c_0,X1)
      | ~ class_Numeral_Onumber__ring(X1)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(forward_subsumption_demodulation,[],[f1868,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(f1868,axiom,
    ! [X1,X47] :
      ( ~ class_Numeral_Onumber__ring(X1)
      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X47,tc_nat),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).

fof(f3381,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f2739,f3378]) ).

fof(f3378,plain,
    ( spl0_63
  <=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

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(f3376,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f194,f3373]) ).

fof(f3373,plain,
    ( spl0_62
  <=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f194,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).

fof(f3370,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f156,f3367]) ).

fof(f3367,plain,
    ( spl0_61
  <=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f156,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).

fof(f3365,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f132,f3362]) ).

fof(f3362,plain,
    ( spl0_60
  <=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f132,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).

fof(f3360,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f184,f3357]) ).

fof(f3357,plain,
    ( spl0_59
  <=> class_Numeral_Onumber(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f184,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).

fof(f3354,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f134,f3351]) ).

fof(f3351,plain,
    ( spl0_58
  <=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f134,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).

fof(f3349,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f1255,f3346]) ).

fof(f3346,plain,
    ( spl0_57
  <=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

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(f3343,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f1679,f3340]) ).

fof(f3340,plain,
    ( spl0_56
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

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(f3338,plain,
    ( ~ spl0_19
    | spl0_18 ),
    inference(avatar_split_clause,[],[f2498,f3140,f3143]) ).

fof(f3140,plain,
    ( spl0_18
  <=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2498,axiom,
    ! [X1] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
      | c_0 != c_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).

fof(f3337,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f1687,f3334]) ).

fof(f3334,plain,
    ( spl0_55
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

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(f3332,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f2770,f3329]) ).

fof(f3329,plain,
    ( spl0_54
  <=> c_emptyset = c_Message_Oparts(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2770,axiom,
    c_emptyset = c_Message_Oparts(c_emptyset),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).

fof(f3327,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f1674,f3324]) ).

fof(f3324,plain,
    ( spl0_53
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

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(f3322,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f1688,f3319]) ).

fof(f3319,plain,
    ( spl0_52
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

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(f3317,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f2155,f3314]) ).

fof(f3314,plain,
    ( spl0_51
  <=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

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(f3312,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f2958,f3309]) ).

fof(f2958,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(f3307,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f1371,f3304]) ).

fof(f3304,plain,
    ( spl0_49
  <=> c_1 = c_IntDef_Oint(c_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1371,axiom,
    c_1 = c_IntDef_Oint(c_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).

fof(f3302,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f155,f3299]) ).

fof(f3299,plain,
    ( spl0_48
  <=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f155,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).

fof(f3297,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f2977,f3294]) ).

fof(f3294,plain,
    ( spl0_47
  <=> 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_47])]) ).

fof(f2977,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,f2112]) ).

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(f3291,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f189,f3288]) ).

fof(f3288,plain,
    ( spl0_46
  <=> class_Power_Orecpower(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f189,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).

fof(f3285,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f214,f3282]) ).

fof(f3282,plain,
    ( spl0_45
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f214,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).

fof(f3277,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f220,f3274]) ).

fof(f3274,plain,
    ( spl0_44
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f220,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).

fof(f3272,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f238,f3269]) ).

fof(f3269,plain,
    ( spl0_43
  <=> class_Power_Orecpower(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f238,axiom,
    class_Power_Orecpower(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).

fof(f3267,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f3262,f3264]) ).

fof(f3264,plain,
    ( spl0_42
  <=> c_less(c_0,c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3262,plain,
    c_less(c_0,c_1,tc_IntDef_Oint),
    inference(backward_demodulation,[],[f1486,f1464]) ).

fof(f1464,axiom,
    ! [X28] : c_1 = c_Nat_Opower(X28,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).

fof(f1486,axiom,
    ! [X0] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).

fof(f3261,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f2163,f3258]) ).

fof(f3258,plain,
    ( spl0_41
  <=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

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(f3256,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f2973,f3225]) ).

fof(f2973,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(f3253,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f169,f3250]) ).

fof(f3250,plain,
    ( spl0_40
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

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(f3248,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f2743,f3245]) ).

fof(f3245,plain,
    ( spl0_39
  <=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2743,axiom,
    c_emptyset = c_Message_OkeysFor(c_emptyset),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__empty_0) ).

fof(f3243,plain,
    ~ spl0_38,
    inference(avatar_split_clause,[],[f1250,f3240]) ).

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(f3238,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f145,f3235]) ).

fof(f3235,plain,
    ( spl0_37
  <=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f145,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).

fof(f3231,plain,
    ( spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f3223,f3229,f3225]) ).

fof(f3223,plain,
    ! [X47] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
    inference(forward_subsumption_demodulation,[],[f2868,f1848]) ).

fof(f2868,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(f3222,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f1391,f3219]) ).

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(f3217,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f1386,f3214]) ).

fof(f3214,plain,
    ( spl0_33
  <=> c_0 = c_IntDef_Onat(c_0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1386,axiom,
    c_0 = c_IntDef_Onat(c_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).

fof(f3212,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f177,f3209]) ).

fof(f3209,plain,
    ( spl0_32
  <=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f177,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).

fof(f3207,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f124,f3204]) ).

fof(f3204,plain,
    ( spl0_31
  <=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

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(f3202,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f1683,f3199]) ).

fof(f3199,plain,
    ( spl0_30
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

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(f3197,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f181,f3194]) ).

fof(f3194,plain,
    ( spl0_29
  <=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f181,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).

fof(f3192,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f151,f3189]) ).

fof(f3189,plain,
    ( spl0_28
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f151,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).

fof(f3187,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f231,f3184]) ).

fof(f3184,plain,
    ( spl0_27
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f231,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).

fof(f3182,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f140,f3179]) ).

fof(f3179,plain,
    ( spl0_26
  <=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f140,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).

fof(f3177,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f244,f3174]) ).

fof(f3174,plain,
    ( spl0_25
  <=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f244,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).

fof(f3172,plain,
    ~ spl0_24,
    inference(avatar_split_clause,[],[f2828,f3169]) ).

fof(f2828,axiom,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f3167,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f242,f3164]) ).

fof(f3164,plain,
    ( spl0_23
  <=> class_LOrder_Olorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f242,axiom,
    class_LOrder_Olorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).

fof(f3162,plain,
    ~ spl0_19,
    inference(avatar_split_clause,[],[f1370,f3143]) ).

fof(f1370,axiom,
    c_0 != c_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).

fof(f3161,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f2992,f3158]) ).

fof(f3158,plain,
    ( spl0_22
  <=> c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2992,plain,
    c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(definition_unfolding,[],[f2047,f2544]) ).

fof(f2047,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).

fof(f3156,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f2106,f3153]) ).

fof(f3153,plain,
    ( spl0_21
  <=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

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(f3151,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f139,f3148]) ).

fof(f3148,plain,
    ( spl0_20
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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(f3146,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f2395,f3143,f3140]) ).

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(f3138,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f217,f3135]) ).

fof(f3135,plain,
    ( spl0_17
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f217,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).

fof(f3133,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f1676,f3130]) ).

fof(f3130,plain,
    ( spl0_16
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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(f3128,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f1675,f3125]) ).

fof(f3125,plain,
    ( spl0_15
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

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(f3123,plain,
    ~ spl0_14,
    inference(avatar_split_clause,[],[f2629,f3120]) ).

fof(f3120,plain,
    ( spl0_14
  <=> c_emptyset = c_UNIV ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2629,axiom,
    c_emptyset != c_UNIV,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).

fof(f3118,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f225,f3115]) ).

fof(f3115,plain,
    ( spl0_13
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f225,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).

fof(f3113,plain,
    ~ spl0_12,
    inference(avatar_split_clause,[],[f2733,f3110]) ).

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(f3108,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f209,f3105]) ).

fof(f3105,plain,
    ( spl0_11
  <=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f209,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).

fof(f3102,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f241,f3099]) ).

fof(f3099,plain,
    ( spl0_10
  <=> class_LOrder_Ojoin__semilorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f241,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).

fof(f3097,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f2827,f3094]) ).

fof(f2827,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3092,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f243,f3089]) ).

fof(f3089,plain,
    ( spl0_8
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f243,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).

fof(f3087,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f1684,f3084]) ).

fof(f3084,plain,
    ( spl0_7
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

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(f3082,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f239,f3079]) ).

fof(f3079,plain,
    ( spl0_6
  <=> class_Numeral_Onumber(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f239,axiom,
    class_Numeral_Onumber(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).

fof(f3077,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f182,f3074]) ).

fof(f3074,plain,
    ( spl0_5
  <=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f182,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).

fof(f3072,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f2303,f3069]) ).

fof(f3069,plain,
    ( spl0_4
  <=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2303,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).

fof(f3067,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f226,f3064]) ).

fof(f3064,plain,
    ( spl0_3
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f226,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).

fof(f3062,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f235,f3059]) ).

fof(f3059,plain,
    ( spl0_2
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f235,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).

fof(f3057,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1226,f3054]) ).

fof(f3054,plain,
    ( spl0_1
  <=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV272-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:23:51 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (11315)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 (2999ds/191324Mi)
% 0.91/0.55  % (11340)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.91/0.55  % (11330)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 (2999ds/75Mi)
% 0.91/0.56  % (11319)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.91/0.56  % (11322)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.06/0.57  % (11323)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.06/0.57  % (11323)Instruction limit reached!
% 1.06/0.57  % (11323)------------------------------
% 1.06/0.57  % (11323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.06/0.57  % (11323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.06/0.57  % (11323)Termination reason: Unknown
% 1.06/0.57  % (11323)Termination phase: shuffling
% 1.06/0.57  
% 1.06/0.57  % (11323)Memory used [KB]: 2942
% 1.06/0.57  % (11323)Time elapsed: 0.002 s
% 1.06/0.57  % (11323)Instructions burned: 2 (million)
% 1.06/0.57  % (11323)------------------------------
% 1.06/0.57  % (11323)------------------------------
% 1.06/0.57  % (11327)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.06/0.58  % (11322)Instruction limit reached!
% 1.06/0.58  % (11322)------------------------------
% 1.06/0.58  % (11322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.06/0.58  % (11322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.06/0.58  % (11322)Termination reason: Unknown
% 1.06/0.58  % (11322)Termination phase: Function definition elimination
% 1.06/0.58  
% 1.06/0.58  % (11322)Memory used [KB]: 3326
% 1.06/0.58  % (11322)Time elapsed: 0.012 s
% 1.06/0.58  % (11322)Instructions burned: 7 (million)
% 1.06/0.58  % (11322)------------------------------
% 1.06/0.58  % (11322)------------------------------
% 1.06/0.58  % (11321)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.06/0.59  % (11345)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 (2999ds/355Mi)
% 1.06/0.59  % (11341)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.06/0.60  % (11333)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.06/0.60  % (11343)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 (2999ds/177Mi)
% 1.06/0.60  % (11326)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.06/0.60  % (11328)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.06/0.61  % (11325)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.06/0.61  % (11316)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.06/0.61  % (11339)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 (2999ds/467Mi)
% 1.06/0.61  % (11324)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 (2999ds/51Mi)
% 1.06/0.62  % (11335)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 (2999ds/100Mi)
% 1.06/0.62  % (11317)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 (2999ds/37Mi)
% 1.06/0.62  % (11318)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.06/0.62  % (11331)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 (2999ds/99Mi)
% 1.06/0.62  % (11342)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 (2999ds/68Mi)
% 1.06/0.62  % (11320)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 (2999ds/48Mi)
% 1.06/0.63  % (11337)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.06/0.63  % (11329)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 (2999ds/68Mi)
% 1.06/0.63  % (11344)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.54/0.63  % (11336)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 (2999ds/176Mi)
% 1.54/0.63  % (11338)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 (2999ds/498Mi)
% 1.54/0.63  % (11334)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.65  % (11330)Instruction limit reached!
% 1.54/0.65  % (11330)------------------------------
% 1.54/0.65  % (11330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.65  % (11330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.65  % (11330)Termination reason: Unknown
% 1.54/0.65  % (11330)Termination phase: Saturation
% 1.54/0.65  
% 1.54/0.65  % (11330)Memory used [KB]: 4093
% 1.54/0.65  % (11330)Time elapsed: 0.067 s
% 1.54/0.65  % (11330)Instructions burned: 75 (million)
% 1.54/0.65  % (11330)------------------------------
% 1.54/0.65  % (11330)------------------------------
% 1.54/0.66  % (11319)Instruction limit reached!
% 1.54/0.66  % (11319)------------------------------
% 1.54/0.66  % (11319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.66  % (11319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.66  % (11319)Termination reason: Unknown
% 1.75/0.66  % (11319)Termination phase: Property scanning
% 1.75/0.66  
% 1.75/0.66  % (11319)Memory used [KB]: 3454
% 1.75/0.66  % (11319)Time elapsed: 0.029 s
% 1.75/0.66  % (11319)Instructions burned: 54 (million)
% 1.75/0.66  % (11319)------------------------------
% 1.75/0.66  % (11319)------------------------------
% 1.75/0.67  % (11321)Instruction limit reached!
% 1.75/0.67  % (11321)------------------------------
% 1.75/0.67  % (11321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.68  % (11320)Instruction limit reached!
% 1.75/0.68  % (11320)------------------------------
% 1.75/0.68  % (11320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.68  % (11317)Instruction limit reached!
% 1.75/0.68  % (11317)------------------------------
% 1.75/0.68  % (11317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.69  % (11321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.69  % (11321)Termination reason: Unknown
% 1.75/0.69  % (11324)Instruction limit reached!
% 1.75/0.69  % (11324)------------------------------
% 1.75/0.69  % (11324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.69  % (11321)Termination phase: Finite model building preprocessing
% 1.75/0.69  
% 1.75/0.69  % (11321)Memory used [KB]: 4221
% 1.75/0.69  % (11321)Time elapsed: 0.027 s
% 1.75/0.69  % (11321)Instructions burned: 53 (million)
% 1.75/0.69  % (11321)------------------------------
% 1.75/0.69  % (11321)------------------------------
% 1.75/0.70  % (11320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11317)Termination reason: Unknown
% 1.75/0.70  % (11317)Termination phase: Property scanning
% 1.75/0.70  
% 1.75/0.70  % (11317)Memory used [KB]: 3454
% 1.75/0.70  % (11317)Time elapsed: 0.022 s
% 1.75/0.70  % (11317)Instructions burned: 39 (million)
% 1.75/0.70  % (11317)------------------------------
% 1.75/0.70  % (11317)------------------------------
% 1.75/0.70  % (11320)Termination reason: Unknown
% 1.75/0.70  % (11320)Termination phase: Saturation
% 1.75/0.70  
% 1.75/0.70  % (11320)Memory used [KB]: 8059
% 1.75/0.70  % (11320)Time elapsed: 0.025 s
% 1.75/0.70  % (11320)Instructions burned: 48 (million)
% 1.75/0.70  % (11320)------------------------------
% 1.75/0.70  % (11320)------------------------------
% 1.75/0.70  % (11325)Instruction limit reached!
% 1.75/0.70  % (11325)------------------------------
% 1.75/0.70  % (11325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.70  % (11316)Instruction limit reached!
% 1.75/0.70  % (11316)------------------------------
% 1.75/0.70  % (11316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.70  % (11316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11316)Termination reason: Unknown
% 1.75/0.70  % (11316)Termination phase: Saturation
% 1.75/0.70  
% 1.75/0.70  % (11316)Memory used [KB]: 8443
% 1.75/0.70  % (11316)Time elapsed: 0.033 s
% 1.75/0.70  % (11316)Instructions burned: 50 (million)
% 1.75/0.70  % (11316)------------------------------
% 1.75/0.70  % (11316)------------------------------
% 1.75/0.70  % (11333)Instruction limit reached!
% 1.75/0.70  % (11333)------------------------------
% 1.75/0.70  % (11333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.70  % (11333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11333)Termination reason: Unknown
% 1.75/0.70  % (11333)Termination phase: Blocked clause elimination
% 1.75/0.70  
% 1.75/0.70  % (11333)Memory used [KB]: 4093
% 1.75/0.70  % (11333)Time elapsed: 0.031 s
% 1.75/0.70  % (11333)Instructions burned: 59 (million)
% 1.75/0.70  % (11333)------------------------------
% 1.75/0.70  % (11333)------------------------------
% 1.75/0.70  % (11325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11325)Termination reason: Unknown
% 1.75/0.70  % (11325)Termination phase: Saturation
% 1.75/0.70  
% 1.75/0.70  % (11325)Memory used [KB]: 8315
% 1.75/0.70  % (11325)Time elapsed: 0.030 s
% 1.75/0.70  % (11325)Instructions burned: 51 (million)
% 1.75/0.70  % (11325)------------------------------
% 1.75/0.70  % (11325)------------------------------
% 1.75/0.70  % (11318)Instruction limit reached!
% 1.75/0.70  % (11318)------------------------------
% 1.75/0.70  % (11318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.70  % (11318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.70  % (11318)Termination reason: Unknown
% 1.75/0.70  % (11318)Termination phase: Saturation
% 1.75/0.70  
% 1.75/0.70  % (11318)Memory used [KB]: 8443
% 1.75/0.70  % (11318)Time elapsed: 0.032 s
% 1.75/0.70  % (11318)Instructions burned: 51 (million)
% 1.75/0.70  % (11318)------------------------------
% 1.75/0.70  % (11318)------------------------------
% 1.75/0.70  % (11402)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)
% 1.75/0.71  % (11324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.71  % (11324)Termination reason: Unknown
% 1.75/0.71  % (11324)Termination phase: Saturation
% 1.75/0.71  
% 1.75/0.71  % (11324)Memory used [KB]: 4093
% 1.75/0.71  % (11324)Time elapsed: 0.030 s
% 1.75/0.71  % (11324)Instructions burned: 51 (million)
% 1.75/0.71  % (11324)------------------------------
% 1.75/0.71  % (11324)------------------------------
% 1.75/0.72  % (11399)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)
% 2.27/0.74  % (11327)Instruction limit reached!
% 2.27/0.74  % (11327)------------------------------
% 2.27/0.74  % (11327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.74  % (11329)Instruction limit reached!
% 2.27/0.74  % (11329)------------------------------
% 2.27/0.74  % (11329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.74  % (11329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.74  % (11329)Termination reason: Unknown
% 2.27/0.74  % (11329)Termination phase: Saturation
% 2.27/0.74  
% 2.27/0.74  % (11329)Memory used [KB]: 10618
% 2.27/0.74  % (11329)Time elapsed: 0.037 s
% 2.27/0.74  % (11329)Instructions burned: 68 (million)
% 2.27/0.74  % (11329)------------------------------
% 2.27/0.74  % (11329)------------------------------
% 2.27/0.74  % (11327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.74  % (11327)Termination reason: Unknown
% 2.27/0.74  % (11327)Termination phase: Saturation
% 2.27/0.74  
% 2.27/0.74  % (11327)Memory used [KB]: 9338
% 2.27/0.74  % (11327)Time elapsed: 0.068 s
% 2.27/0.74  % (11327)Instructions burned: 102 (million)
% 2.27/0.74  % (11327)------------------------------
% 2.27/0.74  % (11327)------------------------------
% 2.27/0.76  % (11342)Instruction limit reached!
% 2.27/0.76  % (11342)------------------------------
% 2.27/0.76  % (11342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.77  % (11328)Instruction limit reached!
% 2.42/0.77  % (11328)------------------------------
% 2.42/0.77  % (11328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.77  % (11342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.77  % (11342)Termination reason: Unknown
% 2.42/0.77  % (11342)Termination phase: Saturation
% 2.42/0.77  
% 2.42/0.77  % (11342)Memory used [KB]: 10362
% 2.42/0.77  % (11342)Time elapsed: 0.038 s
% 2.42/0.77  % (11342)Instructions burned: 68 (million)
% 2.42/0.77  % (11342)------------------------------
% 2.42/0.77  % (11342)------------------------------
% 2.42/0.78  % (11331)Instruction limit reached!
% 2.42/0.78  % (11331)------------------------------
% 2.42/0.78  % (11331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.78  % (11328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78  % (11328)Termination reason: Unknown
% 2.42/0.78  % (11328)Termination phase: Saturation
% 2.42/0.78  
% 2.42/0.78  % (11328)Memory used [KB]: 9083
% 2.42/0.78  % (11328)Time elapsed: 0.057 s
% 2.42/0.78  % (11328)Instructions burned: 99 (million)
% 2.42/0.78  % (11328)------------------------------
% 2.42/0.78  % (11328)------------------------------
% 2.42/0.78  % (11446)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)
% 2.42/0.78  % (11331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.78  % (11331)Termination reason: Unknown
% 2.42/0.78  % (11331)Termination phase: Saturation
% 2.42/0.78  
% 2.42/0.78  % (11331)Memory used [KB]: 8443
% 2.42/0.78  % (11331)Time elapsed: 0.291 s
% 2.42/0.78  % (11331)Instructions burned: 100 (million)
% 2.42/0.78  % (11331)------------------------------
% 2.42/0.78  % (11331)------------------------------
% 2.42/0.79  % (11326)Instruction limit reached!
% 2.42/0.79  % (11326)------------------------------
% 2.42/0.79  % (11326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.79  % (11326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.79  % (11326)Termination reason: Unknown
% 2.42/0.79  % (11326)Termination phase: Saturation
% 2.42/0.79  
% 2.42/0.79  % (11326)Memory used [KB]: 9210
% 2.42/0.79  % (11326)Time elapsed: 0.299 s
% 2.42/0.79  % (11326)Instructions burned: 100 (million)
% 2.42/0.79  % (11326)------------------------------
% 2.42/0.79  % (11326)------------------------------
% 2.42/0.79  % (11335)Instruction limit reached!
% 2.42/0.79  % (11335)------------------------------
% 2.42/0.79  % (11335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.80  % (11471)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.42/0.80  % (11480)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)
% 2.42/0.81  % (11335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.81  % (11335)Termination reason: Unknown
% 2.42/0.81  % (11335)Termination phase: Saturation
% 2.42/0.81  
% 2.42/0.81  % (11335)Memory used [KB]: 4349
% 2.42/0.81  % (11335)Time elapsed: 0.054 s
% 2.42/0.81  % (11335)Instructions burned: 100 (million)
% 2.42/0.81  % (11335)------------------------------
% 2.42/0.81  % (11335)------------------------------
% 2.42/0.81  % (11334)Instruction limit reached!
% 2.42/0.81  % (11334)------------------------------
% 2.42/0.81  % (11334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.81  % (11334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.81  % (11334)Termination reason: Unknown
% 2.42/0.81  % (11334)Termination phase: Saturation
% 2.42/0.81  
% 2.42/0.81  % (11334)Memory used [KB]: 9338
% 2.42/0.81  % (11334)Time elapsed: 0.060 s
% 2.42/0.81  % (11334)Instructions burned: 100 (million)
% 2.42/0.81  % (11334)------------------------------
% 2.42/0.81  % (11334)------------------------------
% 2.42/0.82  % (11459)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.42/0.82  % (11475)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)
% 2.42/0.83  % (11476)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)
% 2.42/0.83  % (11484)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)
% 2.70/0.84  % (11490)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)
% 2.70/0.85  % (11482)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)
% 2.70/0.86  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.79/0.87  % (11483)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)
% 2.79/0.87  % (11501)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.79/0.88  % (11513)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.79/0.89  % (11337)Instruction limit reached!
% 2.79/0.89  % (11337)------------------------------
% 2.79/0.89  % (11337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.90  % (11502)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 (2996ds/4958Mi)
% 2.79/0.90  % (11446)Instruction limit reached!
% 2.79/0.90  % (11446)------------------------------
% 2.79/0.90  % (11446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.90  % (11446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.90  % (11446)Termination reason: Unknown
% 2.79/0.90  % (11446)Termination phase: Saturation
% 2.79/0.90  
% 2.79/0.90  % (11446)Memory used [KB]: 8571
% 2.79/0.90  % (11446)Time elapsed: 0.227 s
% 2.79/0.90  % (11446)Instructions burned: 91 (million)
% 2.79/0.90  % (11446)------------------------------
% 2.79/0.90  % (11446)------------------------------
% 2.79/0.90  % (11480)Instruction limit reached!
% 2.79/0.90  % (11480)------------------------------
% 2.79/0.90  % (11480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.90  % (11480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.90  % (11480)Termination reason: Unknown
% 2.79/0.90  % (11480)Termination phase: Saturation
% 2.79/0.90  
% 2.79/0.90  % (11480)Memory used [KB]: 10362
% 2.79/0.90  % (11480)Time elapsed: 0.033 s
% 2.79/0.90  % (11480)Instructions burned: 68 (million)
% 2.79/0.90  % (11480)------------------------------
% 2.79/0.90  % (11480)------------------------------
% 2.79/0.91  % (11514)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)
% 2.79/0.91  % (11515)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)
% 2.79/0.91  % (11337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.91  % (11337)Termination reason: Unknown
% 2.79/0.91  % (11337)Termination phase: Saturation
% 2.79/0.91  
% 2.79/0.91  % (11337)Memory used [KB]: 9722
% 2.79/0.91  % (11337)Time elapsed: 0.083 s
% 2.79/0.91  % (11337)Instructions burned: 138 (million)
% 2.79/0.91  % (11337)------------------------------
% 2.79/0.91  % (11337)------------------------------
% 2.79/0.92  % (11512)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.10/0.94  % (11521)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 (2995ds/2134Mi)
% 3.10/0.95  % (11519)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)
% 3.10/0.96  % (11336)Instruction limit reached!
% 3.10/0.96  % (11336)------------------------------
% 3.10/0.96  % (11336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.96  % (11343)Instruction limit reached!
% 3.17/0.96  % (11343)------------------------------
% 3.17/0.96  % (11343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.97  % (11336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.97  % (11336)Termination reason: Unknown
% 3.17/0.97  % (11336)Termination phase: Saturation
% 3.17/0.97  
% 3.17/0.97  % (11336)Memory used [KB]: 9850
% 3.17/0.97  % (11336)Time elapsed: 0.096 s
% 3.17/0.97  % (11336)Instructions burned: 177 (million)
% 3.17/0.97  % (11336)------------------------------
% 3.17/0.97  % (11336)------------------------------
% 3.17/0.97  % (11343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.97  % (11343)Termination reason: Unknown
% 3.17/0.97  % (11343)Termination phase: Saturation
% 3.17/0.97  
% 3.17/0.97  % (11343)Memory used [KB]: 5500
% 3.17/0.97  % (11343)Time elapsed: 0.490 s
% 3.17/0.97  % (11343)Instructions burned: 177 (million)
% 3.17/0.97  % (11343)------------------------------
% 3.17/0.97  % (11343)------------------------------
% 3.17/0.98  % (11402)Instruction limit reached!
% 3.17/0.98  % (11402)------------------------------
% 3.17/0.98  % (11402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.98  % (11484)Instruction limit reached!
% 3.17/0.98  % (11484)------------------------------
% 3.17/0.98  % (11484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.98  % (11484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.98  % (11484)Termination reason: Unknown
% 3.17/0.98  % (11484)Termination phase: Saturation
% 3.17/0.98  
% 3.17/0.98  % (11484)Memory used [KB]: 8443
% 3.17/0.98  % (11484)Time elapsed: 0.256 s
% 3.17/0.98  % (11484)Instructions burned: 90 (million)
% 3.17/0.98  % (11484)------------------------------
% 3.17/0.98  % (11484)------------------------------
% 3.17/1.00  % (11402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/1.00  % (11402)Termination reason: Unknown
% 3.17/1.00  % (11402)Termination phase: Saturation
% 3.17/1.00  
% 3.17/1.00  % (11402)Memory used [KB]: 5884
% 3.17/1.00  % (11402)Time elapsed: 0.335 s
% 3.17/1.00  % (11402)Instructions burned: 211 (million)
% 3.17/1.00  % (11402)------------------------------
% 3.17/1.00  % (11402)------------------------------
% 3.17/1.01  % (11515)Instruction limit reached!
% 3.17/1.01  % (11515)------------------------------
% 3.17/1.01  % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/1.01  % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/1.01  % (11515)Termination reason: Unknown
% 3.17/1.01  % (11515)Termination phase: Saturation
% 3.17/1.01  
% 3.17/1.01  % (11515)Memory used [KB]: 10362
% 3.17/1.01  % (11515)Time elapsed: 0.036 s
% 3.17/1.01  % (11515)Instructions burned: 68 (million)
% 3.17/1.01  % (11515)------------------------------
% 3.17/1.01  % (11515)------------------------------
% 3.58/1.04  % (11550)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.58/1.04  % (11551)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.58/1.04  % (11554)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 (2994ds/90Mi)
% 5.04/1.09  % (11586)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.04/1.10  % (11583)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)
% 5.04/1.11  % (11597)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.04/1.12  % (11592)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)
% 5.60/1.15  % (11598)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 (2993ds/9902Mi)
% 5.60/1.17  % (11554)Instruction limit reached!
% 5.60/1.17  % (11554)------------------------------
% 5.60/1.17  % (11554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.87/1.19  % (11554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.87/1.19  % (11554)Termination reason: Unknown
% 5.87/1.19  % (11554)Termination phase: Saturation
% 5.87/1.19  
% 5.87/1.19  % (11554)Memory used [KB]: 8571
% 5.87/1.19  % (11554)Time elapsed: 0.220 s
% 5.87/1.19  % (11554)Instructions burned: 91 (million)
% 5.87/1.19  % (11554)------------------------------
% 5.87/1.19  % (11554)------------------------------
% 6.31/1.24  % (11345)Instruction limit reached!
% 6.31/1.24  % (11345)------------------------------
% 6.31/1.24  % (11345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.24  % (11345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.24  % (11345)Termination reason: Unknown
% 6.31/1.24  % (11345)Termination phase: Saturation
% 6.31/1.24  
% 6.31/1.24  % (11345)Memory used [KB]: 12537
% 6.31/1.24  % (11345)Time elapsed: 0.750 s
% 6.31/1.24  % (11345)Instructions burned: 356 (million)
% 6.31/1.24  % (11345)------------------------------
% 6.31/1.24  % (11345)------------------------------
% 6.42/1.29  % (11599)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)
% 6.42/1.29  % (11399)Instruction limit reached!
% 6.42/1.29  % (11399)------------------------------
% 6.42/1.29  % (11399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.42/1.29  % (11399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.42/1.29  % (11399)Termination reason: Unknown
% 6.42/1.29  % (11399)Termination phase: Saturation
% 6.42/1.29  
% 6.42/1.29  % (11399)Memory used [KB]: 11001
% 6.42/1.29  % (11399)Time elapsed: 0.697 s
% 6.42/1.29  % (11399)Instructions burned: 388 (million)
% 6.42/1.29  % (11399)------------------------------
% 6.42/1.29  % (11399)------------------------------
% 6.92/1.34  % (11340)Instruction limit reached!
% 6.92/1.34  % (11340)------------------------------
% 6.92/1.34  % (11340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.92/1.34  % (11340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.92/1.34  % (11340)Termination reason: Unknown
% 6.92/1.34  % (11340)Termination phase: Saturation
% 6.92/1.34  
% 6.92/1.34  % (11340)Memory used [KB]: 14200
% 6.92/1.34  % (11340)Time elapsed: 0.845 s
% 6.92/1.34  % (11340)Instructions burned: 483 (million)
% 6.92/1.34  % (11340)------------------------------
% 6.92/1.34  % (11340)------------------------------
% 6.92/1.34  % (11600)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.22/1.40  % (11601)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.22/1.44  % (11338)Instruction limit reached!
% 7.22/1.44  % (11338)------------------------------
% 7.22/1.44  % (11338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.22/1.44  % (11338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.22/1.44  % (11338)Termination reason: Unknown
% 7.22/1.44  % (11338)Termination phase: Saturation
% 7.22/1.44  
% 7.22/1.44  % (11338)Memory used [KB]: 6396
% 7.22/1.44  % (11338)Time elapsed: 0.945 s
% 7.22/1.44  % (11338)Instructions burned: 499 (million)
% 7.22/1.44  % (11338)------------------------------
% 7.22/1.44  % (11338)------------------------------
% 7.81/1.44  % (11344)Instruction limit reached!
% 7.81/1.44  % (11344)------------------------------
% 7.81/1.44  % (11344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.81/1.44  % (11344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.81/1.44  % (11344)Termination reason: Unknown
% 7.81/1.44  % (11344)Termination phase: Saturation
% 7.81/1.44  
% 7.81/1.44  % (11344)Memory used [KB]: 13176
% 7.81/1.44  % (11344)Time elapsed: 0.942 s
% 7.81/1.44  % (11344)Instructions burned: 440 (million)
% 7.81/1.44  % (11344)------------------------------
% 7.81/1.44  % (11344)------------------------------
% 7.81/1.45  TRYING [1]
% 7.81/1.45  % (11339)Instruction limit reached!
% 7.81/1.45  % (11339)------------------------------
% 7.81/1.45  % (11339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.81/1.45  % (11339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.81/1.45  % (11339)Termination reason: Unknown
% 7.81/1.45  % (11339)Termination phase: Saturation
% 7.81/1.45  
% 7.81/1.45  % (11339)Memory used [KB]: 14200
% 7.81/1.45  % (11339)Time elapsed: 0.859 s
% 7.81/1.45  % (11339)Instructions burned: 469 (million)
% 7.81/1.45  % (11339)------------------------------
% 7.81/1.45  % (11339)------------------------------
% 8.04/1.48  % (11341)Instruction limit reached!
% 8.04/1.48  % (11341)------------------------------
% 8.04/1.48  % (11341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.04/1.48  % (11341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.04/1.48  % (11341)Termination reason: Unknown
% 8.04/1.48  % (11341)Termination phase: Saturation
% 8.04/1.48  
% 8.04/1.48  % (11341)Memory used [KB]: 12537
% 8.04/1.48  % (11341)Time elapsed: 0.987 s
% 8.04/1.48  % (11341)Instructions burned: 500 (million)
% 8.04/1.48  % (11341)------------------------------
% 8.04/1.48  % (11341)------------------------------
% 8.04/1.49  % (11602)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 (2990ds/90Mi)
% 8.45/1.59  % (11603)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 (2989ds/44001Mi)
% 8.45/1.59  % (11604)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 (2989ds/4958Mi)
% 8.45/1.60  % (11602)Instruction limit reached!
% 8.45/1.60  % (11602)------------------------------
% 8.45/1.60  % (11602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.45/1.61  % (11502)First to succeed.
% 8.45/1.61  % (11606)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 (2988ds/32293Mi)
% 8.45/1.61  % (11605)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 (2989ds/35256Mi)
% 8.45/1.62  % (11602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.45/1.62  % (11602)Termination reason: Unknown
% 8.45/1.62  % (11602)Termination phase: Saturation
% 8.45/1.62  
% 8.45/1.62  % (11602)Memory used [KB]: 8699
% 8.45/1.62  % (11602)Time elapsed: 0.231 s
% 8.45/1.62  % (11602)Instructions burned: 90 (million)
% 8.45/1.62  % (11602)------------------------------
% 8.45/1.62  % (11602)------------------------------
% 9.40/1.63  % (11502)Refutation found. Thanks to Tanya!
% 9.40/1.63  % SZS status Unsatisfiable for theBenchmark
% 9.40/1.63  % SZS output start Proof for theBenchmark
% See solution above
% 9.40/1.63  % (11502)------------------------------
% 9.40/1.63  % (11502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.40/1.63  % (11502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.40/1.63  % (11502)Termination reason: Refutation
% 9.40/1.63  
% 9.40/1.63  % (11502)Memory used [KB]: 6012
% 9.40/1.63  % (11502)Time elapsed: 0.821 s
% 9.40/1.63  % (11502)Instructions burned: 464 (million)
% 9.40/1.63  % (11502)------------------------------
% 9.40/1.63  % (11502)------------------------------
% 9.40/1.63  % (11313)Success in time 1.263 s
%------------------------------------------------------------------------------