TSTP Solution File: SWV270-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV270-1 : 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 : n005.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 18:56:05 EDT 2022

% Result   : Unsatisfiable 8.07s 1.52s
% Output   : Refutation 8.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  368
% Syntax   : Number of formulae    :  613 ( 341 unt;   0 def)
%            Number of atoms       :  916 ( 158 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  438 ( 135   ~; 121   |;   0   &)
%                                         ( 182 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :  246 ( 244 usr; 183 prp; 0-3 aty)
%            Number of functors    :   73 (  73 usr;  44 con; 0-3 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4359,plain,
    $false,
    inference(avatar_smt_refutation,[],[f3057,f3062,f3067,f3072,f3077,f3082,f3087,f3092,f3097,f3102,f3107,f3112,f3117,f3122,f3127,f3132,f3137,f3142,f3147,f3154,f3159,f3164,f3169,f3174,f3179,f3184,f3189,f3194,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3255,f3260,f3265,f3270,f3275,f3280,f3285,f3290,f3295,f3301,f3302,f3308,f3313,f3318,f3323,f3331,f3337,f3342,f3347,f3352,f3358,f3366,f3371,f3376,f3381,f3386,f3391,f3396,f3401,f3407,f3408,f3413,f3419,f3424,f3429,f3435,f3436,f3441,f3453,f3458,f3463,f3468,f3473,f3479,f3484,f3490,f3495,f3501,f3506,f3512,f3521,f3526,f3534,f3535,f3540,f3545,f3550,f3555,f3557,f3562,f3567,f3572,f3577,f3582,f3587,f3593,f3598,f3605,f3611,f3624,f3629,f3633,f3638,f3643,f3648,f3654,f3659,f3664,f3672,f3674,f3679,f3684,f3689,f3694,f3699,f3704,f3709,f3715,f3720,f3725,f3730,f3736,f3742,f3747,f3752,f3757,f3764,f3769,f3774,f3780,f3785,f3790,f3798,f3803,f3808,f3814,f3821,f3826,f3831,f3836,f3841,f3846,f3851,f3856,f3861,f3866,f3872,f3878,f3883,f3888,f3893,f3898,f3904,f3909,f3915,f3920,f3926,f3931,f3989,f3996,f4027,f4032,f4051,f4057,f4078,f4087,f4097,f4106,f4187,f4215,f4314,f4321,f4327,f4334,f4342,f4347,f4348,f4351,f4356,f4358]) ).

fof(f4358,plain,
    ( ~ spl0_179
    | spl0_175 ),
    inference(avatar_split_clause,[],[f4357,f4212,f4331]) ).

fof(f4331,plain,
    ( spl0_179
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f4212,plain,
    ( spl0_175
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f4357,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | spl0_175 ),
    inference(resolution,[],[f4213,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(f4213,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f4212]) ).

fof(f4356,plain,
    ( spl0_182
    | spl0_179
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f4350,f4208,f4331,f4353]) ).

fof(f4353,plain,
    ( spl0_182
  <=> c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f4208,plain,
    ( spl0_174
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4350,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_174 ),
    inference(resolution,[],[f4210,f2781]) ).

fof(f2781,axiom,
    ! [X88,X86,X87] :
      ( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(X88),tc_Message_Omsg)
      | c_in(X87,c_Message_Osynth(X88),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X86,X87),X88,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).

fof(f4210,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f4208]) ).

fof(f4351,plain,
    ( spl0_179
    | spl0_170
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f4349,f4208,f4084,f4331]) ).

fof(f4084,plain,
    ( spl0_170
  <=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f4349,plain,
    ( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | ~ spl0_174 ),
    inference(resolution,[],[f4210,f2782]) ).

fof(f2782,axiom,
    ! [X88,X86,X87] :
      ( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(X88),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X86,X87),X88,tc_Message_Omsg)
      | c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).

fof(f4348,plain,
    ( spl0_169
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f4335,f4212,f4075]) ).

fof(f4075,plain,
    ( spl0_169
  <=> c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f4335,plain,
    ( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_175 ),
    inference(resolution,[],[f4214,f2729]) ).

fof(f2729,axiom,
    ! [X88,X86,X87] :
      ( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
      | c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f4214,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f4212]) ).

fof(f4347,plain,
    ( spl0_181
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f4337,f4212,f4344]) ).

fof(f4344,plain,
    ( spl0_181
  <=> c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f4337,plain,
    ( c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg))
    | ~ spl0_175 ),
    inference(resolution,[],[f4214,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(f4342,plain,
    ( spl0_180
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f4336,f4212,f4339]) ).

fof(f4339,plain,
    ( spl0_180
  <=> c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f4336,plain,
    ( c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_175 ),
    inference(resolution,[],[f4214,f2728]) ).

fof(f2728,axiom,
    ! [X88,X86,X87] :
      ( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
      | c_in(X87,c_Message_Oparts(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f4334,plain,
    ( ~ spl0_179
    | spl0_174 ),
    inference(avatar_split_clause,[],[f4329,f4208,f4331]) ).

fof(f4329,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | spl0_174 ),
    inference(resolution,[],[f4209,f2818]) ).

fof(f2818,axiom,
    ! [X88,X86] :
      ( c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg)
      | ~ c_in(X86,X88,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f4209,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f4208]) ).

fof(f4327,plain,
    ( spl0_178
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f4322,f4103,f4324]) ).

fof(f4324,plain,
    ( spl0_178
  <=> 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_178])]) ).

fof(f4103,plain,
    ( spl0_172
  <=> c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f4322,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_172 ),
    inference(resolution,[],[f4105,f2804]) ).

fof(f4105,plain,
    ( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f4103]) ).

fof(f4321,plain,
    ( spl0_177
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f4316,f4094,f4318]) ).

fof(f4318,plain,
    ( spl0_177
  <=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f4094,plain,
    ( spl0_171
  <=> c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f4316,plain,
    ( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg))
    | ~ spl0_171 ),
    inference(resolution,[],[f4096,f2804]) ).

fof(f4096,plain,
    ( c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f4094]) ).

fof(f4314,plain,
    ( ~ spl0_176
    | spl0_169 ),
    inference(avatar_split_clause,[],[f4309,f4075,f4311]) ).

fof(f4311,plain,
    ( spl0_176
  <=> c_in(v_X,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f4309,plain,
    ( ~ c_in(v_X,v_H,tc_Message_Omsg)
    | spl0_169 ),
    inference(resolution,[],[f4077,f2767]) ).

fof(f4077,plain,
    ( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f4075]) ).

fof(f4215,plain,
    ( spl0_174
    | spl0_175
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f4196,f3124,f4212,f4208]) ).

fof(f3124,plain,
    ( spl0_15
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),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_15])]) ).

fof(f4196,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_15 ),
    inference(resolution,[],[f2640,f3126]) ).

fof(f3126,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f3124]) ).

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

fof(f4187,plain,
    ( spl0_173
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f4179,f3144,f4184]) ).

fof(f4184,plain,
    ( spl0_173
  <=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f3144,plain,
    ( spl0_19
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f4179,plain,
    ( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg))
    | ~ spl0_19 ),
    inference(resolution,[],[f2804,f3146]) ).

fof(f3146,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f3144]) ).

fof(f4106,plain,
    ( spl0_172
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f4098,f3144,f4103]) ).

fof(f4098,plain,
    ( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_19 ),
    inference(resolution,[],[f2729,f3146]) ).

fof(f4097,plain,
    ( spl0_171
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f4089,f3144,f4094]) ).

fof(f4089,plain,
    ( c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
    | ~ spl0_19 ),
    inference(resolution,[],[f2728,f3146]) ).

fof(f4087,plain,
    ( ~ spl0_170
    | spl0_138 ),
    inference(avatar_split_clause,[],[f4079,f3800,f4084]) ).

fof(f3800,plain,
    ( spl0_138
  <=> 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_138])]) ).

fof(f4079,plain,
    ( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_138 ),
    inference(resolution,[],[f2642,f3802]) ).

fof(f3802,plain,
    ( ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f3800]) ).

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(f4078,plain,
    ( ~ spl0_169
    | spl0_138 ),
    inference(avatar_split_clause,[],[f4070,f3800,f4075]) ).

fof(f4070,plain,
    ( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_138 ),
    inference(resolution,[],[f2641,f3802]) ).

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(f4057,plain,
    ( spl0_168
    | ~ spl0_25
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f4052,f3212,f3176,f4054]) ).

fof(f4054,plain,
    ( spl0_168
  <=> c_1 = c_times(c_1,c_1,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3176,plain,
    ( spl0_25
  <=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3212,plain,
    ( spl0_32
  <=> 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_32])]) ).

fof(f4052,plain,
    ( c_1 = c_times(c_1,c_1,tc_nat)
    | ~ spl0_25
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f3214,f3178]) ).

fof(f3178,plain,
    ( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f3176]) ).

fof(f3214,plain,
    ( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f3212]) ).

fof(f4051,plain,
    ( spl0_167
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f4046,f3749,f3176,f4048]) ).

fof(f4048,plain,
    ( spl0_167
  <=> c_1 = c_IntDef_Onat(c_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3749,plain,
    ( spl0_128
  <=> 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_128])]) ).

fof(f4046,plain,
    ( c_1 = c_IntDef_Onat(c_1)
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(forward_demodulation,[],[f3751,f3178]) ).

fof(f3751,plain,
    ( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f3749]) ).

fof(f4032,plain,
    ( spl0_166
    | ~ spl0_83
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4021,f3739,f3492,f4029]) ).

fof(f4029,plain,
    ( spl0_166
  <=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f3492,plain,
    ( spl0_83
  <=> c_0 = c_IntDef_Oint(c_0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f3739,plain,
    ( spl0_126
  <=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f4021,plain,
    ( c_lessequals(c_0,c_0,tc_IntDef_Oint)
    | ~ spl0_83
    | ~ spl0_126 ),
    inference(backward_demodulation,[],[f3741,f3494]) ).

fof(f3494,plain,
    ( c_0 = c_IntDef_Oint(c_0)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f3492]) ).

fof(f3741,plain,
    ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f3739]) ).

fof(f4027,plain,
    ( spl0_165
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f4022,f3492,f3222,f4024]) ).

fof(f4024,plain,
    ( spl0_165
  <=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f3222,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(f4022,plain,
    ( c_0 = c_uminus(c_0,tc_IntDef_Oint)
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f3224,f3494]) ).

fof(f3224,plain,
    ( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f3222]) ).

fof(f3996,plain,
    ( spl0_164
    | ~ spl0_48
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f3972,f3421,f3292,f3993]) ).

fof(f3993,plain,
    ( spl0_164
  <=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3292,plain,
    ( spl0_48
  <=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3421,plain,
    ( spl0_71
  <=> 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_71])]) ).

fof(f3972,plain,
    ( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
    | ~ spl0_48
    | ~ spl0_71 ),
    inference(backward_demodulation,[],[f3423,f3294]) ).

fof(f3294,plain,
    ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f3292]) ).

fof(f3423,plain,
    ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f3421]) ).

fof(f3989,plain,
    ( spl0_163
    | ~ spl0_48
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f3973,f3476,f3292,f3986]) ).

fof(f3986,plain,
    ( spl0_163
  <=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3476,plain,
    ( spl0_80
  <=> 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_80])]) ).

fof(f3973,plain,
    ( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
    | ~ spl0_48
    | ~ spl0_80 ),
    inference(backward_demodulation,[],[f3478,f3294]) ).

fof(f3478,plain,
    ( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f3476]) ).

fof(f3931,plain,
    spl0_162,
    inference(avatar_split_clause,[],[f1687,f3928]) ).

fof(f3928,plain,
    ( spl0_162
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

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(f3926,plain,
    spl0_161,
    inference(avatar_split_clause,[],[f167,f3923]) ).

fof(f3923,plain,
    ( spl0_161
  <=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

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(f3920,plain,
    ~ spl0_160,
    inference(avatar_split_clause,[],[f2310,f3917]) ).

fof(f3917,plain,
    ( spl0_160
  <=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

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

fof(f3915,plain,
    spl0_159,
    inference(avatar_split_clause,[],[f2106,f3912]) ).

fof(f3912,plain,
    ( spl0_159
  <=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2106,axiom,
    c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).

fof(f3909,plain,
    spl0_158,
    inference(avatar_split_clause,[],[f234,f3906]) ).

fof(f3906,plain,
    ( spl0_158
  <=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

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

fof(f3904,plain,
    spl0_157,
    inference(avatar_split_clause,[],[f173,f3901]) ).

fof(f3901,plain,
    ( spl0_157
  <=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

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

fof(f3898,plain,
    spl0_156,
    inference(avatar_split_clause,[],[f136,f3895]) ).

fof(f3895,plain,
    ( spl0_156
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

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

fof(f3893,plain,
    spl0_155,
    inference(avatar_split_clause,[],[f225,f3890]) ).

fof(f3890,plain,
    ( spl0_155
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

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

fof(f3888,plain,
    spl0_154,
    inference(avatar_split_clause,[],[f222,f3885]) ).

fof(f3885,plain,
    ( spl0_154
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

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

fof(f3883,plain,
    spl0_153,
    inference(avatar_split_clause,[],[f210,f3880]) ).

fof(f3880,plain,
    ( spl0_153
  <=> class_Orderings_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

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

fof(f3878,plain,
    spl0_152,
    inference(avatar_split_clause,[],[f153,f3875]) ).

fof(f3875,plain,
    ( spl0_152
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

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(f3872,plain,
    spl0_151,
    inference(avatar_split_clause,[],[f212,f3869]) ).

fof(f3869,plain,
    ( spl0_151
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

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

fof(f3866,plain,
    spl0_150,
    inference(avatar_split_clause,[],[f2770,f3863]) ).

fof(f3863,plain,
    ( spl0_150
  <=> c_emptyset = c_Message_Oparts(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

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

fof(f3861,plain,
    spl0_149,
    inference(avatar_split_clause,[],[f216,f3858]) ).

fof(f3858,plain,
    ( spl0_149
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

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

fof(f3856,plain,
    spl0_148,
    inference(avatar_split_clause,[],[f1386,f3853]) ).

fof(f3853,plain,
    ( spl0_148
  <=> c_0 = c_IntDef_Onat(c_0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

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

fof(f3851,plain,
    ( spl0_25
    | spl0_147 ),
    inference(avatar_split_clause,[],[f3847,f3849,f3176]) ).

fof(f3849,plain,
    ( spl0_147
  <=> ! [X47] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3847,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,[],[f2896,f1848]) ).

fof(f1848,axiom,
    ! [X47] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).

fof(f2896,plain,
    ! [X47] :
      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),tc_nat) ),
    inference(definition_unfolding,[],[f1822,f2544]) ).

fof(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(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(f3846,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f1681,f3843]) ).

fof(f3843,plain,
    ( spl0_146
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

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(f3841,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f2155,f3838]) ).

fof(f3838,plain,
    ( spl0_145
  <=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

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(f3836,plain,
    spl0_144,
    inference(avatar_split_clause,[],[f2984,f3833]) ).

fof(f3833,plain,
    ( spl0_144
  <=> 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_144])]) ).

fof(f2984,plain,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
    inference(definition_unfolding,[],[f2133,f2113]) ).

fof(f2113,axiom,
    ! [X11] : c_Numeral_Obin__pred(X11) = c_Numeral_Obin__add(X11,c_Numeral_OMin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).

fof(f2133,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).

fof(f3831,plain,
    spl0_143,
    inference(avatar_split_clause,[],[f155,f3828]) ).

fof(f3828,plain,
    ( spl0_143
  <=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

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

fof(f3826,plain,
    spl0_142,
    inference(avatar_split_clause,[],[f198,f3823]) ).

fof(f3823,plain,
    ( spl0_142
  <=> class_HOL_Oone(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

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

fof(f3821,plain,
    ( spl0_141
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f3817,f3287,f3819]) ).

fof(f3819,plain,
    ( spl0_141
  <=> ! [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_141])]) ).

fof(f3287,plain,
    ( spl0_47
  <=> c_0 = c_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3817,plain,
    ! [X15] :
      ( c_0 != c_1
      | 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) ),
    inference(forward_subsumption_demodulation,[],[f1976,f2089]) ).

fof(f2089,axiom,
    ! [X21] :
      ( c_0 = X21
      | c_less(c_0,X21,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).

fof(f1976,axiom,
    ! [X15] :
      ( 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)
      | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).

fof(f3814,plain,
    spl0_140,
    inference(avatar_split_clause,[],[f1677,f3811]) ).

fof(f3811,plain,
    ( spl0_140
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

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(f3808,plain,
    spl0_139,
    inference(avatar_split_clause,[],[f214,f3805]) ).

fof(f3805,plain,
    ( spl0_139
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

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

fof(f3803,plain,
    ~ spl0_138,
    inference(avatar_split_clause,[],[f2828,f3800]) ).

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(f3798,plain,
    ( spl0_136
    | spl0_137 ),
    inference(avatar_split_clause,[],[f3791,f3796,f3793]) ).

fof(f3793,plain,
    ( spl0_136
  <=> ! [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_136])]) ).

fof(f3796,plain,
    ( spl0_137
  <=> ! [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_137])]) ).

fof(f3791,plain,
    ! [X11,X1] :
      ( ~ class_Power_Orecpower(X1)
      | c_0 = c_Numeral_Onumber__of(X11,tc_nat)
      | c_lessequals(c_0,c_0,X1)
      | ~ class_Ring__and__Field_Oordered__idom(X1)
      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat) ),
    inference(forward_subsumption_demodulation,[],[f2322,f2312]) ).

fof(f2312,axiom,
    ! [X11,X1] :
      ( ~ class_Power_Orecpower(X1)
      | c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X11,tc_nat),X1)
      | c_0 = c_Numeral_Onumber__of(X11,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).

fof(f2322,axiom,
    ! [X11,X1] :
      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X11,tc_nat),tc_nat)
      | ~ 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(f3790,plain,
    spl0_135,
    inference(avatar_split_clause,[],[f232,f3787]) ).

fof(f3787,plain,
    ( spl0_135
  <=> class_LOrder_Omeet__semilorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

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

fof(f3785,plain,
    spl0_134,
    inference(avatar_split_clause,[],[f130,f3782]) ).

fof(f3782,plain,
    ( spl0_134
  <=> class_HOL_Oone(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

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

fof(f3780,plain,
    spl0_133,
    inference(avatar_split_clause,[],[f1371,f3777]) ).

fof(f3777,plain,
    ( spl0_133
  <=> c_1 = c_IntDef_Oint(c_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

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

fof(f3774,plain,
    spl0_132,
    inference(avatar_split_clause,[],[f3031,f3771]) ).

fof(f3771,plain,
    ( spl0_132
  <=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3031,plain,
    c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
    inference(definition_unfolding,[],[f2126,f2129]) ).

fof(f2129,axiom,
    ! [X11] : c_Numeral_Obin__minus(X11) = c_Numeral_Obin__mult(c_Numeral_OMin,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).

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

fof(f3769,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f1685,f3766]) ).

fof(f3766,plain,
    ( spl0_131
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

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(f3764,plain,
    spl0_130,
    inference(avatar_split_clause,[],[f140,f3761]) ).

fof(f3761,plain,
    ( spl0_130
  <=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

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

fof(f3757,plain,
    spl0_129,
    inference(avatar_split_clause,[],[f1679,f3754]) ).

fof(f3754,plain,
    ( spl0_129
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

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(f3752,plain,
    spl0_128,
    inference(avatar_split_clause,[],[f2950,f3749]) ).

fof(f2950,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(f3747,plain,
    spl0_127,
    inference(avatar_split_clause,[],[f2303,f3744]) ).

fof(f3744,plain,
    ( spl0_127
  <=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

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

fof(f3742,plain,
    spl0_126,
    inference(avatar_split_clause,[],[f1377,f3739]) ).

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(f3736,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f219,f3733]) ).

fof(f3733,plain,
    ( spl0_125
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

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

fof(f3730,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f243,f3727]) ).

fof(f3727,plain,
    ( spl0_124
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

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

fof(f3725,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f186,f3722]) ).

fof(f3722,plain,
    ( spl0_123
  <=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

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

fof(f3720,plain,
    spl0_122,
    inference(avatar_split_clause,[],[f1688,f3717]) ).

fof(f3717,plain,
    ( spl0_122
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

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(f3715,plain,
    spl0_121,
    inference(avatar_split_clause,[],[f2105,f3712]) ).

fof(f3712,plain,
    ( spl0_121
  <=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

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(f3709,plain,
    spl0_120,
    inference(avatar_split_clause,[],[f132,f3706]) ).

fof(f3706,plain,
    ( spl0_120
  <=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

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

fof(f3704,plain,
    spl0_119,
    inference(avatar_split_clause,[],[f177,f3701]) ).

fof(f3701,plain,
    ( spl0_119
  <=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

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

fof(f3699,plain,
    spl0_118,
    inference(avatar_split_clause,[],[f1255,f3696]) ).

fof(f3696,plain,
    ( spl0_118
  <=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

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(f3694,plain,
    spl0_117,
    inference(avatar_split_clause,[],[f241,f3691]) ).

fof(f3691,plain,
    ( spl0_117
  <=> class_LOrder_Ojoin__semilorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

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

fof(f3689,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f189,f3686]) ).

fof(f3686,plain,
    ( spl0_116
  <=> class_Power_Orecpower(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

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

fof(f3684,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f165,f3681]) ).

fof(f3681,plain,
    ( spl0_115
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

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(f3679,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f145,f3676]) ).

fof(f3676,plain,
    ( spl0_114
  <=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

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

fof(f3674,plain,
    ( ~ spl0_47
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2395,f3631,f3287]) ).

fof(f3631,plain,
    ( spl0_106
  <=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2395,axiom,
    ! [X1] :
      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
      | c_0 != c_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).

fof(f3672,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f2163,f3669]) ).

fof(f3669,plain,
    ( spl0_113
  <=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

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(f3664,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f154,f3661]) ).

fof(f3661,plain,
    ( spl0_112
  <=> class_Orderings_Oorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

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

fof(f3659,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f227,f3656]) ).

fof(f3656,plain,
    ( spl0_111
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

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

fof(f3654,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f150,f3651]) ).

fof(f3651,plain,
    ( spl0_110
  <=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

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

fof(f3648,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f1254,f3645]) ).

fof(f3645,plain,
    ( spl0_109
  <=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

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(f3643,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f220,f3640]) ).

fof(f3640,plain,
    ( spl0_108
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

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

fof(f3638,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f1866,f3635]) ).

fof(f3635,plain,
    ( spl0_107
  <=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

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(f3633,plain,
    ( spl0_106
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2498,f3287,f3631]) ).

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

fof(f3629,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f223,f3626]) ).

fof(f3626,plain,
    ( spl0_105
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

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

fof(f3624,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f124,f3621]) ).

fof(f3621,plain,
    ( spl0_104
  <=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

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(f3611,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f2739,f3608]) ).

fof(f3608,plain,
    ( spl0_103
  <=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

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(f3605,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f233,f3602]) ).

fof(f3602,plain,
    ( spl0_102
  <=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

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

fof(f3598,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f208,f3595]) ).

fof(f3595,plain,
    ( spl0_101
  <=> class_Ring__and__Field_Osemiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

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

fof(f3593,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f3588,f3590]) ).

fof(f3590,plain,
    ( spl0_100
  <=> c_less(c_0,c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3588,plain,
    c_less(c_0,c_1,tc_IntDef_Oint),
    inference(forward_demodulation,[],[f1486,f1464]) ).

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

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

fof(f3587,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f221,f3584]) ).

fof(f3584,plain,
    ( spl0_99
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

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

fof(f3582,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f2743,f3579]) ).

fof(f3579,plain,
    ( spl0_98
  <=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

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

fof(f3577,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f228,f3574]) ).

fof(f3574,plain,
    ( spl0_97
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

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_96,
    inference(avatar_split_clause,[],[f142,f3569]) ).

fof(f3569,plain,
    ( spl0_96
  <=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

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(f3567,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f215,f3564]) ).

fof(f3564,plain,
    ( spl0_95
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

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

fof(f3562,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f146,f3559]) ).

fof(f3559,plain,
    ( spl0_94
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

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

fof(f3557,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f3556,f3151]) ).

fof(f3151,plain,
    ( spl0_20
  <=> c_less(c_0,c_1,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f3556,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(f3555,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f168,f3552]) ).

fof(f3552,plain,
    ( spl0_93
  <=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

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(f3550,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f2290,f3547]) ).

fof(f3547,plain,
    ( spl0_92
  <=> c_Parity_Oeven(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

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

fof(f3545,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f2737,f3542]) ).

fof(f3542,plain,
    ( spl0_91
  <=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

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(f3540,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f217,f3537]) ).

fof(f3537,plain,
    ( spl0_90
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

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

fof(f3535,plain,
    ~ spl0_69,
    inference(avatar_split_clause,[],[f2159,f3410]) ).

fof(f3410,plain,
    ( spl0_69
  <=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

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(f3534,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f134,f3531]) ).

fof(f3531,plain,
    ( spl0_89
  <=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

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

fof(f3526,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f1680,f3523]) ).

fof(f3523,plain,
    ( spl0_88
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

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(f3521,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f161,f3518]) ).

fof(f3518,plain,
    ( spl0_87
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

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(f3512,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f137,f3509]) ).

fof(f3509,plain,
    ( spl0_86
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

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

fof(f3506,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f242,f3503]) ).

fof(f3503,plain,
    ( spl0_85
  <=> class_LOrder_Olorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

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

fof(f3501,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f138,f3498]) ).

fof(f3498,plain,
    ( spl0_84
  <=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

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

fof(f3495,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f1374,f3492]) ).

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(f3490,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f239,f3487]) ).

fof(f3487,plain,
    ( spl0_82
  <=> class_Numeral_Onumber(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

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

fof(f3484,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f230,f3481]) ).

fof(f3481,plain,
    ( spl0_81
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

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

fof(f3479,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f1867,f3476]) ).

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(f3473,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f1350,f3470]) ).

fof(f3470,plain,
    ( spl0_79
  <=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

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(f3468,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f195,f3465]) ).

fof(f3465,plain,
    ( spl0_78
  <=> class_Finite__Set_Ofinite(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

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

fof(f3463,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f1683,f3460]) ).

fof(f3460,plain,
    ( spl0_77
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

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(f3458,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f184,f3455]) ).

fof(f3455,plain,
    ( spl0_76
  <=> class_Numeral_Onumber(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

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

fof(f3453,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f213,f3450]) ).

fof(f3450,plain,
    ( spl0_75
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

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

fof(f3441,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f144,f3438]) ).

fof(f3438,plain,
    ( spl0_74
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

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(f3436,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f2963,f3212]) ).

fof(f2963,plain,
    c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
    inference(definition_unfolding,[],[f2094,f2544]) ).

fof(f2094,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).

fof(f3435,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f135,f3432]) ).

fof(f3432,plain,
    ( spl0_73
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

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(f3429,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f244,f3426]) ).

fof(f3426,plain,
    ( spl0_72
  <=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

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

fof(f3424,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f2916,f3421]) ).

fof(f2916,plain,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
    inference(definition_unfolding,[],[f2125,f2129]) ).

fof(f2125,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).

fof(f3419,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f224,f3416]) ).

fof(f3416,plain,
    ( spl0_70
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

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

fof(f3413,plain,
    ~ spl0_69,
    inference(avatar_split_clause,[],[f2160,f3410]) ).

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(f3408,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f1250,f3059]) ).

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

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(f3407,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f1184,f3404]) ).

fof(f3404,plain,
    ( spl0_68
  <=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

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(f3401,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f143,f3398]) ).

fof(f3398,plain,
    ( spl0_67
  <=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

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

fof(f3396,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f2528,f3393]) ).

fof(f3393,plain,
    ( spl0_66
  <=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

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(f3391,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f176,f3388]) ).

fof(f3388,plain,
    ( spl0_65
  <=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

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

fof(f3386,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f226,f3383]) ).

fof(f3383,plain,
    ( spl0_64
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

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

fof(f3381,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f164,f3378]) ).

fof(f3378,plain,
    ( spl0_63
  <=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

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

fof(f3376,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f181,f3373]) ).

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

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

fof(f3371,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f231,f3368]) ).

fof(f3368,plain,
    ( spl0_61
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

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

fof(f3366,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f1684,f3363]) ).

fof(f3363,plain,
    ( spl0_60
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

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(f3358,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f131,f3355]) ).

fof(f3355,plain,
    ( spl0_59
  <=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

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

fof(f3352,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f158,f3349]) ).

fof(f3349,plain,
    ( spl0_58
  <=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

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

fof(f3347,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f166,f3344]) ).

fof(f3344,plain,
    ( spl0_57
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

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(f3342,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f160,f3339]) ).

fof(f3339,plain,
    ( spl0_56
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

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(f3337,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f151,f3334]) ).

fof(f3334,plain,
    ( spl0_55
  <=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

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(f3331,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f157,f3328]) ).

fof(f3328,plain,
    ( spl0_54
  <=> class_LOrder_Olorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

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

fof(f3323,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f169,f3320]) ).

fof(f3320,plain,
    ( spl0_53
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

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(f3318,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f2791,f3315]) ).

fof(f3315,plain,
    ( spl0_52
  <=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

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

fof(f3313,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f172,f3310]) ).

fof(f3310,plain,
    ( spl0_51
  <=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

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

fof(f3308,plain,
    ~ spl0_50,
    inference(avatar_split_clause,[],[f3303,f3305]) ).

fof(f3305,plain,
    ( spl0_50
  <=> c_less(c_0,c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3303,plain,
    ~ c_less(c_0,c_0,tc_nat),
    inference(backward_demodulation,[],[f1602,f1598]) ).

fof(f1598,axiom,
    ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv_1) ).

fof(f1602,axiom,
    ! [X1] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv_0) ).

fof(f3302,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f2732,f3069]) ).

fof(f3069,plain,
    ( spl0_4
  <=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

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(f3301,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f1674,f3298]) ).

fof(f3298,plain,
    ( spl0_49
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

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(f3295,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f2156,f3292]) ).

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(f3290,plain,
    ~ spl0_47,
    inference(avatar_split_clause,[],[f1370,f3287]) ).

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

fof(f3285,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f218,f3282]) ).

fof(f3282,plain,
    ( spl0_46
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

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

fof(f3280,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f175,f3277]) ).

fof(f3277,plain,
    ( spl0_45
  <=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

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

fof(f3275,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f139,f3272]) ).

fof(f3272,plain,
    ( spl0_44
  <=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

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(f3270,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f238,f3267]) ).

fof(f3267,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(f3265,plain,
    ~ spl0_42,
    inference(avatar_split_clause,[],[f2629,f3262]) ).

fof(f3262,plain,
    ( spl0_42
  <=> c_emptyset = c_UNIV ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

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

fof(f3260,plain,
    ~ spl0_41,
    inference(avatar_split_clause,[],[f1309,f3257]) ).

fof(f3257,plain,
    ( spl0_41
  <=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

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(f3255,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f229,f3252]) ).

fof(f3252,plain,
    ( spl0_40
  <=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

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

fof(f3250,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f182,f3247]) ).

fof(f3247,plain,
    ( spl0_39
  <=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

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

fof(f3245,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f178,f3242]) ).

fof(f3242,plain,
    ( spl0_38
  <=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

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

fof(f3240,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f2043,f3237]) ).

fof(f3237,plain,
    ( spl0_37
  <=> c_lessequals(c_0,c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

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(f3235,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f133,f3232]) ).

fof(f3232,plain,
    ( spl0_36
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

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

fof(f3230,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f147,f3227]) ).

fof(f3227,plain,
    ( spl0_35
  <=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

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

fof(f3225,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f1391,f3222]) ).

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(f3220,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f162,f3217]) ).

fof(f3217,plain,
    ( spl0_33
  <=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

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(f3215,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f2842,f3212]) ).

fof(f2842,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(f3210,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f235,f3207]) ).

fof(f3207,plain,
    ( spl0_31
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

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

fof(f3205,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f1686,f3202]) ).

fof(f3202,plain,
    ( spl0_30
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

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(f3200,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f126,f3197]) ).

fof(f3197,plain,
    ( spl0_29
  <=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

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(f3194,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f209,f3191]) ).

fof(f3191,plain,
    ( spl0_28
  <=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

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

fof(f3189,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f170,f3186]) ).

fof(f3186,plain,
    ( spl0_27
  <=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

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(f3184,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f194,f3181]) ).

fof(f3181,plain,
    ( spl0_26
  <=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

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

fof(f3179,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f3044,f3176]) ).

fof(f3044,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(f3174,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f180,f3171]) ).

fof(f3171,plain,
    ( spl0_24
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

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(f3169,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f1682,f3166]) ).

fof(f3166,plain,
    ( spl0_23
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

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(f3164,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f156,f3161]) ).

fof(f3161,plain,
    ( spl0_22
  <=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

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

fof(f3159,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f203,f3156]) ).

fof(f3156,plain,
    ( spl0_21
  <=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

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

fof(f3154,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f2049,f3151]) ).

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

fof(f3147,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f2826,f3144]) ).

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

fof(f3142,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f2164,f3139]) ).

fof(f3139,plain,
    ( spl0_18
  <=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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(f3137,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f1678,f3134]) ).

fof(f3134,plain,
    ( spl0_17
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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(f3132,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f149,f3129]) ).

fof(f3129,plain,
    ( spl0_16
  <=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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(f3127,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f2827,f3124]) ).

fof(f2827,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),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(f3122,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f171,f3119]) ).

fof(f3119,plain,
    ( spl0_14
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f3117,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f1676,f3114]) ).

fof(f3114,plain,
    ( spl0_13
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1676,axiom,
    c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).

fof(f3112,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f183,f3109]) ).

fof(f3109,plain,
    ( spl0_12
  <=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

fof(f3107,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f1673,f3104]) ).

fof(f3104,plain,
    ( spl0_11
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

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(f3102,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f159,f3099]) ).

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

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

fof(f3097,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f2567,f3094]) ).

fof(f3094,plain,
    ( spl0_9
  <=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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(f3092,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f211,f3089]) ).

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

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

fof(f3087,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f236,f3084]) ).

fof(f3084,plain,
    ( spl0_7
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

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

fof(f3082,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f174,f3079]) ).

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

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

fof(f3077,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f148,f3074]) ).

fof(f3074,plain,
    ( spl0_5
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

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(f3072,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f2733,f3069]) ).

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(f3067,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f1675,f3064]) ).

fof(f3064,plain,
    ( spl0_3
  <=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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(f3062,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f1251,f3059]) ).

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(f3057,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f2534,f3054]) ).

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

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV270-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:12:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.52  % (22741)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)
% 0.19/0.53  % (22733)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)
% 0.19/0.54  % (22725)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (22725)Instruction limit reached!
% 0.19/0.55  % (22725)------------------------------
% 0.19/0.55  % (22725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (22725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (22725)Termination reason: Unknown
% 0.19/0.55  % (22725)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (22725)Memory used [KB]: 3326
% 0.19/0.55  % (22725)Time elapsed: 0.011 s
% 0.19/0.55  % (22725)Instructions burned: 7 (million)
% 0.19/0.55  % (22725)------------------------------
% 0.19/0.55  % (22725)------------------------------
% 0.98/0.57  % (22720)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)
% 1.27/0.58  % (22723)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)
% 1.27/0.59  % (22721)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)
% 1.27/0.59  % (22729)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)
% 1.27/0.60  % (22726)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.60  % (22726)Instruction limit reached!
% 1.27/0.60  % (22726)------------------------------
% 1.27/0.60  % (22726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.60  % (22726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.60  % (22726)Termination reason: Unknown
% 1.27/0.60  % (22726)Termination phase: shuffling
% 1.27/0.60  
% 1.27/0.60  % (22726)Memory used [KB]: 2942
% 1.27/0.60  % (22726)Time elapsed: 0.002 s
% 1.27/0.60  % (22726)Instructions burned: 2 (million)
% 1.27/0.60  % (22726)------------------------------
% 1.27/0.60  % (22726)------------------------------
% 1.27/0.60  % (22718)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)
% 1.27/0.60  % (22724)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)
% 1.27/0.60  % (22734)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)
% 1.27/0.60  % (22719)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)
% 1.27/0.60  % (22728)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.60  % (22738)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)
% 1.27/0.60  % (22742)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.27/0.61  % (22722)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.61  % (22740)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)
% 1.27/0.61  % (22732)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)
% 1.27/0.61  % (22735)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.27/0.61  % (22743)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.27/0.61  % (22731)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.61  % (22747)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.27/0.61  % (22736)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.61  % (22730)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.27/0.62  % (22739)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.27/0.62  % (22737)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)
% 1.27/0.62  % (22746)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)
% 1.27/0.62  % (22733)Instruction limit reached!
% 1.27/0.62  % (22733)------------------------------
% 1.27/0.62  % (22733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.62  % (22733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.62  % (22733)Termination reason: Unknown
% 1.27/0.62  % (22733)Termination phase: Saturation
% 1.27/0.62  
% 1.27/0.62  % (22733)Memory used [KB]: 4093
% 1.27/0.62  % (22733)Time elapsed: 0.065 s
% 1.27/0.62  % (22733)Instructions burned: 75 (million)
% 1.27/0.62  % (22733)------------------------------
% 1.27/0.62  % (22733)------------------------------
% 1.27/0.62  % (22744)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)
% 1.27/0.62  % (22748)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)
% 1.27/0.63  % (22727)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)
% 1.27/0.65  % (22720)Instruction limit reached!
% 1.27/0.65  % (22720)------------------------------
% 1.27/0.65  % (22720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.65  % (22720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.65  % (22720)Termination reason: Unknown
% 1.27/0.65  % (22720)Termination phase: Property scanning
% 1.27/0.65  
% 1.27/0.65  % (22720)Memory used [KB]: 3454
% 1.27/0.65  % (22720)Time elapsed: 0.022 s
% 1.27/0.65  % (22720)Instructions burned: 38 (million)
% 1.27/0.65  % (22720)------------------------------
% 1.27/0.65  % (22720)------------------------------
% 1.27/0.66  % (22723)Instruction limit reached!
% 1.27/0.66  % (22723)------------------------------
% 1.27/0.66  % (22723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.66  % (22723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.66  % (22723)Termination reason: Unknown
% 1.27/0.66  % (22723)Termination phase: Saturation
% 1.27/0.66  
% 1.27/0.66  % (22723)Memory used [KB]: 8187
% 1.27/0.66  % (22723)Time elapsed: 0.027 s
% 1.27/0.66  % (22723)Instructions burned: 49 (million)
% 1.27/0.66  % (22723)------------------------------
% 1.27/0.66  % (22723)------------------------------
% 1.27/0.67  % (22816)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)
% 1.99/0.69  % (22721)Instruction limit reached!
% 1.99/0.69  % (22721)------------------------------
% 1.99/0.69  % (22721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.69  % (22721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.69  % (22721)Termination reason: Unknown
% 1.99/0.69  % (22721)Termination phase: Saturation
% 1.99/0.69  
% 1.99/0.69  % (22721)Memory used [KB]: 8571
% 1.99/0.69  % (22721)Time elapsed: 0.030 s
% 1.99/0.69  % (22721)Instructions burned: 52 (million)
% 1.99/0.69  % (22721)------------------------------
% 1.99/0.69  % (22721)------------------------------
% 1.99/0.69  % (22724)Instruction limit reached!
% 1.99/0.69  % (22724)------------------------------
% 1.99/0.69  % (22724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.69  % (22724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.69  % (22724)Termination reason: Unknown
% 1.99/0.69  % (22724)Termination phase: Finite model building preprocessing
% 1.99/0.69  
% 1.99/0.69  % (22724)Memory used [KB]: 4221
% 1.99/0.69  % (22724)Time elapsed: 0.029 s
% 1.99/0.69  % (22724)Instructions burned: 52 (million)
% 1.99/0.69  % (22724)------------------------------
% 1.99/0.69  % (22724)------------------------------
% 1.99/0.69  % (22728)Instruction limit reached!
% 1.99/0.69  % (22728)------------------------------
% 1.99/0.69  % (22728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.69  % (22728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.69  % (22728)Termination reason: Unknown
% 1.99/0.69  % (22728)Termination phase: Saturation
% 1.99/0.69  
% 1.99/0.69  % (22728)Memory used [KB]: 8315
% 1.99/0.69  % (22728)Time elapsed: 0.029 s
% 1.99/0.69  % (22728)Instructions burned: 51 (million)
% 1.99/0.69  % (22728)------------------------------
% 1.99/0.69  % (22728)------------------------------
% 2.16/0.70  % (22722)Instruction limit reached!
% 2.16/0.70  % (22722)------------------------------
% 2.16/0.70  % (22722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70  % (22722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70  % (22722)Termination reason: Unknown
% 2.16/0.70  % (22722)Termination phase: Property scanning
% 2.16/0.70  
% 2.16/0.70  % (22722)Memory used [KB]: 3454
% 2.16/0.70  % (22722)Time elapsed: 0.031 s
% 2.16/0.70  % (22722)Instructions burned: 53 (million)
% 2.16/0.70  % (22722)------------------------------
% 2.16/0.70  % (22722)------------------------------
% 2.16/0.70  % (22735)Instruction limit reached!
% 2.16/0.70  % (22735)------------------------------
% 2.16/0.70  % (22735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.70  % (22735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.70  % (22735)Termination reason: Unknown
% 2.16/0.70  % (22735)Termination phase: Blocked clause elimination
% 2.16/0.70  
% 2.16/0.70  % (22735)Memory used [KB]: 4093
% 2.16/0.70  % (22735)Time elapsed: 0.032 s
% 2.16/0.70  % (22735)Instructions burned: 59 (million)
% 2.16/0.70  % (22735)------------------------------
% 2.16/0.70  % (22735)------------------------------
% 2.16/0.71  % (22719)Instruction limit reached!
% 2.16/0.71  % (22719)------------------------------
% 2.16/0.71  % (22719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.71  % (22719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.71  % (22719)Termination reason: Unknown
% 2.16/0.71  % (22719)Termination phase: Saturation
% 2.16/0.71  
% 2.16/0.71  % (22719)Memory used [KB]: 8443
% 2.16/0.71  % (22719)Time elapsed: 0.030 s
% 2.16/0.71  % (22719)Instructions burned: 51 (million)
% 2.16/0.71  % (22719)------------------------------
% 2.16/0.71  % (22719)------------------------------
% 2.16/0.72  % (22727)Instruction limit reached!
% 2.16/0.72  % (22727)------------------------------
% 2.16/0.72  % (22727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.72  % (22727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.72  % (22727)Termination reason: Unknown
% 2.16/0.72  % (22727)Termination phase: Saturation
% 2.16/0.72  
% 2.16/0.72  % (22727)Memory used [KB]: 4093
% 2.16/0.72  % (22727)Time elapsed: 0.028 s
% 2.16/0.72  % (22727)Instructions burned: 52 (million)
% 2.16/0.72  % (22727)------------------------------
% 2.16/0.72  % (22727)------------------------------
% 2.29/0.72  % (22744)Instruction limit reached!
% 2.29/0.72  % (22744)------------------------------
% 2.29/0.72  % (22744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.72  % (22744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.72  % (22744)Termination reason: Unknown
% 2.29/0.72  % (22744)Termination phase: Saturation
% 2.29/0.72  
% 2.29/0.72  % (22744)Memory used [KB]: 10362
% 2.29/0.72  % (22744)Time elapsed: 0.052 s
% 2.29/0.72  % (22744)Instructions burned: 68 (million)
% 2.29/0.72  % (22744)------------------------------
% 2.29/0.72  % (22744)------------------------------
% 2.29/0.73  % (22732)Instruction limit reached!
% 2.29/0.73  % (22732)------------------------------
% 2.29/0.73  % (22732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.73  % (22732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.73  % (22732)Termination reason: Unknown
% 2.29/0.73  % (22732)Termination phase: Saturation
% 2.29/0.73  
% 2.29/0.73  % (22732)Memory used [KB]: 10362
% 2.29/0.73  % (22732)Time elapsed: 0.038 s
% 2.29/0.73  % (22732)Instructions burned: 68 (million)
% 2.29/0.73  % (22732)------------------------------
% 2.29/0.73  % (22732)------------------------------
% 2.29/0.73  % (22848)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.29/0.74  % (22861)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)
% 2.29/0.76  % (22729)Instruction limit reached!
% 2.29/0.76  % (22729)------------------------------
% 2.29/0.76  % (22729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.76  % (22729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.76  % (22729)Termination reason: Unknown
% 2.29/0.76  % (22729)Termination phase: Saturation
% 2.29/0.76  
% 2.29/0.76  % (22729)Memory used [KB]: 9210
% 2.29/0.76  % (22729)Time elapsed: 0.291 s
% 2.29/0.76  % (22729)Instructions burned: 101 (million)
% 2.29/0.76  % (22729)------------------------------
% 2.29/0.76  % (22729)------------------------------
% 2.29/0.76  % (22734)Instruction limit reached!
% 2.29/0.76  % (22734)------------------------------
% 2.29/0.76  % (22734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.76  % (22734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.76  % (22734)Termination reason: Unknown
% 2.29/0.76  % (22734)Termination phase: Saturation
% 2.29/0.76  
% 2.29/0.76  % (22734)Memory used [KB]: 8443
% 2.29/0.76  % (22734)Time elapsed: 0.286 s
% 2.29/0.76  % (22734)Instructions burned: 100 (million)
% 2.29/0.76  % (22734)------------------------------
% 2.29/0.76  % (22734)------------------------------
% 2.29/0.79  % (22896)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.29/0.79  % (22879)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.67/0.80  % (22736)Instruction limit reached!
% 2.67/0.80  % (22736)------------------------------
% 2.67/0.80  % (22736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.80  % (22736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.80  % (22736)Termination reason: Unknown
% 2.67/0.80  % (22736)Termination phase: Saturation
% 2.67/0.80  
% 2.67/0.80  % (22736)Memory used [KB]: 9466
% 2.67/0.80  % (22736)Time elapsed: 0.061 s
% 2.67/0.80  % (22736)Instructions burned: 101 (million)
% 2.67/0.80  % (22736)------------------------------
% 2.67/0.80  % (22736)------------------------------
% 2.67/0.81  % (22731)Instruction limit reached!
% 2.67/0.81  % (22731)------------------------------
% 2.67/0.81  % (22731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.81  % (22731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.81  % (22731)Termination reason: Unknown
% 2.67/0.81  % (22731)Termination phase: Saturation
% 2.67/0.81  
% 2.67/0.81  % (22731)Memory used [KB]: 9083
% 2.67/0.81  % (22731)Time elapsed: 0.062 s
% 2.67/0.81  % (22731)Instructions burned: 100 (million)
% 2.67/0.81  % (22731)------------------------------
% 2.67/0.81  % (22731)------------------------------
% 2.67/0.81  % (22737)Instruction limit reached!
% 2.67/0.81  % (22737)------------------------------
% 2.67/0.81  % (22737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.81  % (22737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.81  % (22737)Termination reason: Unknown
% 2.67/0.81  % (22737)Termination phase: Saturation
% 2.67/0.81  
% 2.67/0.81  % (22737)Memory used [KB]: 4349
% 2.67/0.81  % (22737)Time elapsed: 0.056 s
% 2.67/0.81  % (22737)Instructions burned: 100 (million)
% 2.67/0.81  % (22737)------------------------------
% 2.67/0.81  % (22737)------------------------------
% 2.67/0.81  % (22898)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)
% 2.67/0.82  % (22899)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)
% 2.67/0.82  % (22897)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)
% 2.67/0.83  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.67/0.84  % (22730)Instruction limit reached!
% 2.67/0.84  % (22730)------------------------------
% 2.67/0.84  % (22730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.84  % (22900)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)
% 2.67/0.84  % (22730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.84  % (22730)Termination reason: Unknown
% 2.67/0.84  % (22730)Termination phase: Saturation
% 2.67/0.84  
% 2.67/0.84  % (22730)Memory used [KB]: 9210
% 2.67/0.84  % (22730)Time elapsed: 0.067 s
% 2.67/0.84  % (22730)Instructions burned: 102 (million)
% 2.67/0.84  % (22730)------------------------------
% 2.67/0.84  % (22730)------------------------------
% 2.67/0.85  % (22901)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)
% 2.67/0.85  % (22910)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)
% 2.67/0.85  % (22902)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)
% 2.67/0.86  % (22903)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)
% 2.94/0.88  % (22921)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.94/0.88  % (22904)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.94/0.88  % (22861)Instruction limit reached!
% 2.94/0.88  % (22861)------------------------------
% 2.94/0.88  % (22861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.88  % (22861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.88  % (22861)Termination reason: Unknown
% 2.94/0.88  % (22861)Termination phase: Saturation
% 2.94/0.88  
% 2.94/0.88  % (22861)Memory used [KB]: 8443
% 2.94/0.88  % (22861)Time elapsed: 0.221 s
% 2.94/0.88  % (22861)Instructions burned: 90 (million)
% 2.94/0.88  % (22861)------------------------------
% 2.94/0.88  % (22861)------------------------------
% 2.94/0.90  % (22739)Instruction limit reached!
% 2.94/0.90  % (22739)------------------------------
% 2.94/0.90  % (22739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.90  % (22739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.90  % (22739)Termination reason: Unknown
% 2.94/0.90  % (22739)Termination phase: Saturation
% 2.94/0.90  
% 2.94/0.90  % (22739)Memory used [KB]: 9722
% 2.94/0.90  % (22739)Time elapsed: 0.091 s
% 2.94/0.90  % (22739)Instructions burned: 139 (million)
% 2.94/0.90  % (22739)------------------------------
% 2.94/0.90  % (22739)------------------------------
% 2.94/0.92  % (22923)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.94/0.92  % (22899)Instruction limit reached!
% 2.94/0.92  % (22899)------------------------------
% 2.94/0.92  % (22899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.92  % (22899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.92  % (22899)Termination reason: Unknown
% 2.94/0.92  % (22899)Termination phase: Saturation
% 2.94/0.92  
% 2.94/0.92  % (22899)Memory used [KB]: 10490
% 2.94/0.92  % (22899)Time elapsed: 0.035 s
% 2.94/0.92  % (22899)Instructions burned: 68 (million)
% 2.94/0.92  % (22899)------------------------------
% 2.94/0.92  % (22899)------------------------------
% 2.94/0.93  % (22738)Instruction limit reached!
% 2.94/0.93  % (22738)------------------------------
% 2.94/0.93  % (22738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.93  % (22738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.93  % (22738)Termination reason: Unknown
% 2.94/0.93  % (22738)Termination phase: Saturation
% 2.94/0.93  
% 2.94/0.93  % (22738)Memory used [KB]: 9850
% 2.94/0.93  % (22738)Time elapsed: 0.101 s
% 2.94/0.93  % (22738)Instructions burned: 176 (million)
% 2.94/0.93  % (22738)------------------------------
% 2.94/0.93  % (22738)------------------------------
% 2.94/0.93  % (22937)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)
% 2.94/0.95  % (22941)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)
% 2.94/0.96  % (22746)Instruction limit reached!
% 2.94/0.96  % (22746)------------------------------
% 2.94/0.96  % (22746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.96  % (22746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.96  % (22746)Termination reason: Unknown
% 2.94/0.96  % (22746)Termination phase: Saturation
% 2.94/0.96  
% 2.94/0.96  % (22746)Memory used [KB]: 5500
% 2.94/0.96  % (22746)Time elapsed: 0.501 s
% 2.94/0.96  % (22746)Instructions burned: 177 (million)
% 2.94/0.96  % (22746)------------------------------
% 2.94/0.96  % (22746)------------------------------
% 2.94/0.97  % (22940)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.31/0.98  % (22961)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)
% 3.34/1.00  % (22902)Instruction limit reached!
% 3.34/1.00  % (22902)------------------------------
% 3.34/1.00  % (22902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/1.00  % (22902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/1.00  % (22902)Termination reason: Unknown
% 3.34/1.00  % (22902)Termination phase: Saturation
% 3.34/1.00  
% 3.34/1.00  % (22902)Memory used [KB]: 8571
% 3.34/1.00  % (22902)Time elapsed: 0.261 s
% 3.34/1.00  % (22902)Instructions burned: 90 (million)
% 3.34/1.00  % (22902)------------------------------
% 3.34/1.00  % (22902)------------------------------
% 3.34/1.02  % (22985)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.83/1.04  % (22986)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.83/1.06  % (22988)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 (2994ds/2016Mi)
% 4.83/1.06  % (22987)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)
% 4.83/1.08  % (22940)Instruction limit reached!
% 4.83/1.08  % (22940)------------------------------
% 4.83/1.08  % (22940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.83/1.10  % (22989)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 4.83/1.10  % (22940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.83/1.10  % (22940)Termination reason: Unknown
% 4.83/1.10  % (22940)Termination phase: Saturation
% 4.83/1.10  
% 4.83/1.10  % (22940)Memory used [KB]: 10618
% 4.83/1.10  % (22940)Time elapsed: 0.035 s
% 4.83/1.10  % (22940)Instructions burned: 68 (million)
% 4.83/1.10  % (22940)------------------------------
% 4.83/1.10  % (22940)------------------------------
% 5.45/1.14  % (22990)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)
% 5.45/1.14  % (22848)Instruction limit reached!
% 5.45/1.14  % (22848)------------------------------
% 5.45/1.14  % (22848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.45/1.15  % (22848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.45/1.15  % (22848)Termination reason: Unknown
% 5.45/1.15  % (22848)Termination phase: Saturation
% 5.45/1.15  
% 5.45/1.15  % (22848)Memory used [KB]: 5884
% 5.45/1.15  % (22848)Time elapsed: 0.513 s
% 5.45/1.15  % (22848)Instructions burned: 211 (million)
% 5.45/1.15  % (22848)------------------------------
% 5.45/1.15  % (22848)------------------------------
% 6.05/1.19  % (22741)Instruction limit reached!
% 6.05/1.19  % (22741)------------------------------
% 6.05/1.19  % (22741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.05/1.20  % (22741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.05/1.20  % (22741)Termination reason: Unknown
% 6.05/1.20  % (22741)Termination phase: Saturation
% 6.05/1.20  
% 6.05/1.20  % (22741)Memory used [KB]: 12920
% 6.05/1.20  % (22741)Time elapsed: 0.604 s
% 6.05/1.20  % (22741)Instructions burned: 469 (million)
% 6.05/1.20  % (22741)------------------------------
% 6.05/1.20  % (22741)------------------------------
% 6.05/1.21  % (22987)Instruction limit reached!
% 6.05/1.21  % (22987)------------------------------
% 6.05/1.21  % (22987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.05/1.21  % (22987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.05/1.21  % (22987)Termination reason: Unknown
% 6.05/1.21  % (22987)Termination phase: Saturation
% 6.05/1.21  
% 6.05/1.21  % (22987)Memory used [KB]: 8699
% 6.05/1.21  % (22987)Time elapsed: 0.240 s
% 6.05/1.21  % (22987)Instructions burned: 91 (million)
% 6.05/1.21  % (22987)------------------------------
% 6.05/1.21  % (22987)------------------------------
% 6.05/1.23  % (22991)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.73/1.28  % (22992)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 6.89/1.31  % (22748)Instruction limit reached!
% 6.89/1.31  % (22748)------------------------------
% 6.89/1.31  % (22748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.31  % (22748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.31  % (22748)Termination reason: Unknown
% 6.89/1.31  % (22748)Termination phase: Saturation
% 6.89/1.31  
% 6.89/1.31  % (22748)Memory used [KB]: 13048
% 6.89/1.31  % (22748)Time elapsed: 0.842 s
% 6.89/1.31  % (22748)Instructions burned: 355 (million)
% 6.89/1.31  % (22748)------------------------------
% 6.89/1.31  % (22748)------------------------------
% 6.89/1.31  % (22816)Instruction limit reached!
% 6.89/1.31  % (22816)------------------------------
% 6.89/1.31  % (22816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.31  % (22816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.31  % (22816)Termination reason: Unknown
% 6.89/1.31  % (22816)Termination phase: Saturation
% 6.89/1.31  
% 6.89/1.31  % (22816)Memory used [KB]: 10618
% 6.89/1.31  % (22816)Time elapsed: 0.692 s
% 6.89/1.31  % (22816)Instructions burned: 388 (million)
% 6.89/1.31  % (22816)------------------------------
% 6.89/1.31  % (22816)------------------------------
% 7.00/1.33  % (22993)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.00/1.35  % (22994)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.56/1.44  % (22996)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)
% 7.56/1.46  % (22995)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.56/1.47  TRYING [1]
% 7.56/1.47  % (22747)Instruction limit reached!
% 7.56/1.47  % (22747)------------------------------
% 7.56/1.47  % (22747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.47  % (22747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.47  % (22747)Termination reason: Unknown
% 7.56/1.47  % (22747)Termination phase: Saturation
% 7.56/1.47  
% 7.56/1.47  % (22740)Instruction limit reached!
% 7.56/1.47  % (22740)------------------------------
% 7.56/1.47  % (22740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.47  % (22747)Memory used [KB]: 13304
% 7.56/1.47  % (22747)Time elapsed: 0.985 s
% 7.56/1.47  % (22747)Instructions burned: 440 (million)
% 7.56/1.47  % (22740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.47  % (22747)------------------------------
% 7.56/1.47  % (22747)------------------------------
% 7.56/1.47  % (22740)Termination reason: Unknown
% 7.56/1.47  % (22740)Termination phase: Saturation
% 7.56/1.47  
% 7.56/1.47  % (22740)Memory used [KB]: 6524
% 7.56/1.47  % (22740)Time elapsed: 1.010 s
% 7.56/1.47  % (22740)Instructions burned: 498 (million)
% 7.56/1.47  % (22740)------------------------------
% 7.56/1.47  % (22740)------------------------------
% 8.07/1.50  % (22910)First to succeed.
% 8.07/1.52  % (22910)Refutation found. Thanks to Tanya!
% 8.07/1.52  % SZS status Unsatisfiable for theBenchmark
% 8.07/1.52  % SZS output start Proof for theBenchmark
% See solution above
% 8.07/1.53  % (22910)------------------------------
% 8.07/1.53  % (22910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.07/1.53  % (22910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.07/1.53  % (22910)Termination reason: Refutation
% 8.07/1.53  
% 8.07/1.53  % (22910)Memory used [KB]: 6012
% 8.07/1.53  % (22910)Time elapsed: 0.676 s
% 8.07/1.53  % (22910)Instructions burned: 481 (million)
% 8.07/1.53  % (22910)------------------------------
% 8.07/1.53  % (22910)------------------------------
% 8.07/1.53  % (22706)Success in time 1.177 s
%------------------------------------------------------------------------------