TSTP Solution File: GRP620+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP620+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 : Mon May 20 21:10:30 EDT 2024

% Result   : Theorem 1.87s 1.28s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  270 (  28 unt;   0 def)
%            Number of atoms       : 1435 (  50 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives : 1997 ( 832   ~; 931   |; 162   &)
%                                         (  37 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   38 (  36 usr;  17 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  204 ( 192   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18761,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15429,f15439,f15449,f15459,f15471,f15498,f15916,f16084,f16097,f16895,f16901,f16927,f17006,f17016,f17036,f17037,f18490]) ).

fof(f18490,plain,
    ( spl142_10
    | ~ spl142_52
    | ~ spl142_75 ),
    inference(avatar_contradiction_clause,[],[f18489]) ).

fof(f18489,plain,
    ( $false
    | spl142_10
    | ~ spl142_52
    | ~ spl142_75 ),
    inference(subsumption_resolution,[],[f18488,f17740]) ).

fof(f17740,plain,
    ( ~ m2_fraenkel(np__0,np__0,np__0,k1_autgroup(sK7))
    | spl142_10
    | ~ spl142_52
    | ~ spl142_75 ),
    inference(forward_demodulation,[],[f17739,f15234]) ).

fof(f15234,plain,
    np__0 = k4_relat_1(np__0),
    inference(definition_unfolding,[],[f14666,f14741,f14741]) ).

fof(f14741,plain,
    k1_xboole_0 = np__0,
    inference(cnf_transformation,[],[f3551]) ).

fof(f3551,axiom,
    k1_xboole_0 = np__0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).

fof(f14666,plain,
    k1_xboole_0 = k4_relat_1(k1_xboole_0),
    inference(cnf_transformation,[],[f770]) ).

fof(f770,axiom,
    k1_xboole_0 = k4_relat_1(k1_xboole_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_relat_1) ).

fof(f17739,plain,
    ( ~ m2_fraenkel(k4_relat_1(np__0),np__0,np__0,k1_autgroup(sK7))
    | spl142_10
    | ~ spl142_52
    | ~ spl142_75 ),
    inference(forward_demodulation,[],[f17738,f16888]) ).

fof(f16888,plain,
    ( np__0 = sK8
    | ~ spl142_75 ),
    inference(avatar_component_clause,[],[f16886]) ).

fof(f16886,plain,
    ( spl142_75
  <=> np__0 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_75])]) ).

fof(f17738,plain,
    ( ~ m2_fraenkel(k4_relat_1(sK8),np__0,np__0,k1_autgroup(sK7))
    | spl142_10
    | ~ spl142_52 ),
    inference(forward_demodulation,[],[f15497,f16032]) ).

fof(f16032,plain,
    ( np__0 = u1_struct_0(sK7)
    | ~ spl142_52 ),
    inference(avatar_component_clause,[],[f16030]) ).

fof(f16030,plain,
    ( spl142_52
  <=> np__0 = u1_struct_0(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_52])]) ).

fof(f15497,plain,
    ( ~ m2_fraenkel(k4_relat_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
    | spl142_10 ),
    inference(avatar_component_clause,[],[f15495]) ).

fof(f15495,plain,
    ( spl142_10
  <=> m2_fraenkel(k4_relat_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_10])]) ).

fof(f18488,plain,
    ( m2_fraenkel(np__0,np__0,np__0,k1_autgroup(sK7))
    | ~ spl142_52 ),
    inference(forward_demodulation,[],[f18487,f15190]) ).

fof(f15190,plain,
    np__0 = k6_partfun1(np__0),
    inference(definition_unfolding,[],[f14587,f14741,f14370,f14741]) ).

fof(f14370,plain,
    ! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
    inference(cnf_transformation,[],[f1636]) ).

fof(f1636,axiom,
    ! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).

fof(f14587,plain,
    k1_xboole_0 = k6_relat_1(k1_xboole_0),
    inference(cnf_transformation,[],[f787]) ).

fof(f787,axiom,
    k1_xboole_0 = k6_relat_1(k1_xboole_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_relat_1) ).

fof(f18487,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f18486,f14034]) ).

fof(f14034,plain,
    ~ v3_struct_0(sK7),
    inference(cnf_transformation,[],[f13692]) ).

fof(f13692,plain,
    ( ~ m2_fraenkel(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
    & m2_fraenkel(sK8,u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
    & l1_group_1(sK7)
    & v4_group_1(sK7)
    & v3_group_1(sK7)
    & v1_group_1(sK7)
    & ~ v3_struct_0(sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f12903,f13691,f13690]) ).

fof(f13690,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
            & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
          & m2_fraenkel(X1,u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)) )
      & l1_group_1(sK7)
      & v4_group_1(sK7)
      & v3_group_1(sK7)
      & v1_group_1(sK7)
      & ~ v3_struct_0(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f13691,plain,
    ( ? [X1] :
        ( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
        & m2_fraenkel(X1,u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)) )
   => ( ~ m2_fraenkel(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
      & m2_fraenkel(sK8,u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f12903,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
          & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & v1_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f12902]) ).

fof(f12902,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
          & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & v1_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12884]) ).

fof(f12884,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_group_1(X0)
          & v4_group_1(X0)
          & v3_group_1(X0)
          & v1_group_1(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
           => m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
    inference(negated_conjecture,[],[f12883]) ).

fof(f12883,conjecture,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
         => m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).

fof(f18486,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | v3_struct_0(sK7)
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f18485,f14035]) ).

fof(f14035,plain,
    v1_group_1(sK7),
    inference(cnf_transformation,[],[f13692]) ).

fof(f18485,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f18484,f14036]) ).

fof(f14036,plain,
    v3_group_1(sK7),
    inference(cnf_transformation,[],[f13692]) ).

fof(f18484,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f18483,f14037]) ).

fof(f14037,plain,
    v4_group_1(sK7),
    inference(cnf_transformation,[],[f13692]) ).

fof(f18483,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f18330,f14038]) ).

fof(f14038,plain,
    l1_group_1(sK7),
    inference(cnf_transformation,[],[f13692]) ).

fof(f18330,plain,
    ( m2_fraenkel(k6_partfun1(np__0),np__0,np__0,k1_autgroup(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_52 ),
    inference(superposition,[],[f14118,f16032]) ).

fof(f14118,plain,
    ! [X0] :
      ( m2_fraenkel(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12961]) ).

fof(f12961,plain,
    ! [X0] :
      ( m2_fraenkel(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12960]) ).

fof(f12960,plain,
    ! [X0] :
      ( m2_fraenkel(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12879]) ).

fof(f12879,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => m2_fraenkel(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_autgroup) ).

fof(f17037,plain,
    ( ~ spl142_44
    | spl142_55 ),
    inference(avatar_split_clause,[],[f16200,f16094,f15904]) ).

fof(f15904,plain,
    ( spl142_44
  <=> r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_44])]) ).

fof(f16094,plain,
    ( spl142_55
  <=> m1_subset_1(k2_funct_1(sK8),k1_autgroup(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_55])]) ).

fof(f16200,plain,
    ( ~ r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | spl142_55 ),
    inference(resolution,[],[f16096,f14377]) ).

fof(f14377,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f13135]) ).

fof(f13135,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f675]) ).

fof(f675,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(f16096,plain,
    ( ~ m1_subset_1(k2_funct_1(sK8),k1_autgroup(sK7))
    | spl142_55 ),
    inference(avatar_component_clause,[],[f16094]) ).

fof(f17036,plain,
    ( spl142_43
    | ~ spl142_56
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(avatar_split_clause,[],[f17035,f15456,f15446,f15436,f15426,f16107,f15900]) ).

fof(f15900,plain,
    ( spl142_43
  <=> v4_group_6(k2_funct_1(sK8),sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_43])]) ).

fof(f16107,plain,
    ( spl142_56
  <=> v4_group_6(sK8,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_56])]) ).

fof(f15426,plain,
    ( spl142_2
  <=> m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_2])]) ).

fof(f15436,plain,
    ( spl142_3
  <=> v1_group_6(sK8,sK7,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_3])]) ).

fof(f15446,plain,
    ( spl142_4
  <=> v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_4])]) ).

fof(f15456,plain,
    ( spl142_5
  <=> v1_funct_1(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_5])]) ).

fof(f17035,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(subsumption_resolution,[],[f17034,f14034]) ).

fof(f17034,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(subsumption_resolution,[],[f17033,f14036]) ).

fof(f17033,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(subsumption_resolution,[],[f17032,f14037]) ).

fof(f17032,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(subsumption_resolution,[],[f17031,f14038]) ).

fof(f17031,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5 ),
    inference(subsumption_resolution,[],[f17030,f15458]) ).

fof(f15458,plain,
    ( v1_funct_1(sK8)
    | ~ spl142_5 ),
    inference(avatar_component_clause,[],[f15456]) ).

fof(f17030,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4 ),
    inference(subsumption_resolution,[],[f17029,f15448]) ).

fof(f15448,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ spl142_4 ),
    inference(avatar_component_clause,[],[f15446]) ).

fof(f17029,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3 ),
    inference(subsumption_resolution,[],[f17028,f15438]) ).

fof(f15438,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ spl142_3 ),
    inference(avatar_component_clause,[],[f15436]) ).

fof(f17028,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2 ),
    inference(subsumption_resolution,[],[f17027,f15428]) ).

fof(f15428,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ spl142_2 ),
    inference(avatar_component_clause,[],[f15426]) ).

fof(f17027,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f16099,f15390]) ).

fof(f15390,plain,
    v1_funct_1(k2_funct_1(sK8)),
    inference(subsumption_resolution,[],[f15389,f14034]) ).

fof(f15389,plain,
    ( v1_funct_1(k2_funct_1(sK8))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15388,f14035]) ).

fof(f15388,plain,
    ( v1_funct_1(k2_funct_1(sK8))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15387,f14036]) ).

fof(f15387,plain,
    ( v1_funct_1(k2_funct_1(sK8))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15386,f14037]) ).

fof(f15386,plain,
    ( v1_funct_1(k2_funct_1(sK8))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15369,f14038]) ).

fof(f15369,plain,
    ( v1_funct_1(k2_funct_1(sK8))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f14110]) ).

fof(f14110,plain,
    ! [X0,X1] :
      ( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_funct_1(k2_funct_1(X1))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12955]) ).

fof(f12955,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_group_6(k2_funct_1(X1),X0,X0)
            & v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_funct_1(k2_funct_1(X1)) )
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12954]) ).

fof(f12954,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_group_6(k2_funct_1(X1),X0,X0)
            & v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_funct_1(k2_funct_1(X1)) )
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12882]) ).

fof(f12882,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
         => ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_group_6(k2_funct_1(X1),X0,X0)
            & v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
            & v1_funct_1(k2_funct_1(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).

fof(f14039,plain,
    m2_fraenkel(sK8,u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)),
    inference(cnf_transformation,[],[f13692]) ).

fof(f16099,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f16098,f15400]) ).

fof(f15400,plain,
    v1_group_6(k2_funct_1(sK8),sK7,sK7),
    inference(subsumption_resolution,[],[f15399,f14034]) ).

fof(f15399,plain,
    ( v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15398,f14035]) ).

fof(f15398,plain,
    ( v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15397,f14036]) ).

fof(f15397,plain,
    ( v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15396,f14037]) ).

fof(f15396,plain,
    ( v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15371,f14038]) ).

fof(f15371,plain,
    ( v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f14112]) ).

fof(f14112,plain,
    ! [X0,X1] :
      ( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_group_6(k2_funct_1(X1),X0,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12955]) ).

fof(f16098,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | ~ v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15864,f15405]) ).

fof(f15405,plain,
    m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7)),
    inference(subsumption_resolution,[],[f15404,f14034]) ).

fof(f15404,plain,
    ( m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15403,f14035]) ).

fof(f15403,plain,
    ( m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15402,f14036]) ).

fof(f15402,plain,
    ( m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15401,f14037]) ).

fof(f15401,plain,
    ( m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15372,f14038]) ).

fof(f15372,plain,
    ( m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f14113]) ).

fof(f14113,plain,
    ! [X0,X1] :
      ( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12955]) ).

fof(f15864,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | ~ m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(duplicate_literal_removal,[],[f15833]) ).

fof(f15833,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | ~ m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | ~ v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f15395,f15366]) ).

fof(f15366,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
      | ~ v4_group_6(X2,X1,X0)
      | ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_group_6(k2_funct_1(X2),X0,X1)
      | v4_group_6(k2_funct_1(X2),X0,X1)
      | ~ v1_funct_1(k2_funct_1(X2))
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_group_6(X2,X1,X0)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_funct_1(X2)
      | ~ l1_group_1(X1)
      | ~ v4_group_1(X1)
      | ~ v3_group_1(X1)
      | v3_struct_0(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f14972]) ).

fof(f14972,plain,
    ! [X2,X3,X0,X1] :
      ( v4_group_6(X3,X0,X1)
      | k2_funct_1(X2) != X3
      | ~ v4_group_6(X2,X1,X0)
      | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_group_6(X3,X0,X1)
      | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X3)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_group_6(X2,X1,X0)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_funct_1(X2)
      | ~ l1_group_1(X1)
      | ~ v4_group_1(X1)
      | ~ v3_group_1(X1)
      | v3_struct_0(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13625]) ).

fof(f13625,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( v4_group_6(X3,X0,X1)
                  | k2_funct_1(X2) != X3
                  | ~ v4_group_6(X2,X1,X0)
                  | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_group_6(X3,X0,X1)
                  | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X3) )
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_group_6(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_group_1(X1)
          | ~ v4_group_1(X1)
          | ~ v3_group_1(X1)
          | v3_struct_0(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f13624]) ).

fof(f13624,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( v4_group_6(X3,X0,X1)
                  | k2_funct_1(X2) != X3
                  | ~ v4_group_6(X2,X1,X0)
                  | ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_group_6(X3,X0,X1)
                  | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X3) )
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_group_6(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_group_1(X1)
          | ~ v4_group_1(X1)
          | ~ v3_group_1(X1)
          | v3_struct_0(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f11183]) ).

fof(f11183,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( l1_group_1(X1)
            & v4_group_1(X1)
            & v3_group_1(X1)
            & ~ v3_struct_0(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v1_group_6(X2,X1,X0)
                & v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v1_funct_1(X2) )
             => ! [X3] :
                  ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                    & v1_group_6(X3,X0,X1)
                    & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                    & v1_funct_1(X3) )
                 => ( ( k2_funct_1(X2) = X3
                      & v4_group_6(X2,X1,X0) )
                   => v4_group_6(X3,X0,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_group_6) ).

fof(f15395,plain,
    v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7)),
    inference(subsumption_resolution,[],[f15394,f14034]) ).

fof(f15394,plain,
    ( v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15393,f14035]) ).

fof(f15393,plain,
    ( v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15392,f14036]) ).

fof(f15392,plain,
    ( v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15391,f14037]) ).

fof(f15391,plain,
    ( v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15370,f14038]) ).

fof(f15370,plain,
    ( v1_funct_2(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f14111]) ).

fof(f14111,plain,
    ! [X0,X1] :
      ( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12955]) ).

fof(f17016,plain,
    ( ~ spl142_7
    | ~ spl142_1
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(avatar_split_clause,[],[f17015,f16107,f15456,f15446,f15436,f15426,f15422,f15468]) ).

fof(f15468,plain,
    ( spl142_7
  <=> m1_subset_1(sK8,k1_autgroup(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_7])]) ).

fof(f15422,plain,
    ( spl142_1
  <=> m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_1])]) ).

fof(f17015,plain,
    ( ~ m1_subset_1(sK8,k1_autgroup(sK7))
    | ~ spl142_1
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16839,f16317]) ).

fof(f16317,plain,
    ( ~ v1_xboole_0(k1_autgroup(sK7))
    | ~ spl142_1 ),
    inference(resolution,[],[f15423,f14996]) ).

fof(f14996,plain,
    ! [X2,X0,X1] :
      ( ~ m1_fraenkel(X2,X0,X1)
      | ~ v1_xboole_0(X2) ),
    inference(cnf_transformation,[],[f13647]) ).

fof(f13647,plain,
    ! [X0,X1,X2] :
      ( ( v1_fraenkel(X2)
        & ~ v1_xboole_0(X2) )
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(ennf_transformation,[],[f2933]) ).

fof(f2933,axiom,
    ! [X0,X1,X2] :
      ( m1_fraenkel(X2,X0,X1)
     => ( v1_fraenkel(X2)
        & ~ v1_xboole_0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).

fof(f15423,plain,
    ( m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ spl142_1 ),
    inference(avatar_component_clause,[],[f15422]) ).

fof(f16839,plain,
    ( ~ m1_subset_1(sK8,k1_autgroup(sK7))
    | v1_xboole_0(k1_autgroup(sK7))
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(resolution,[],[f16259,f14733]) ).

fof(f14733,plain,
    ! [X0,X1] :
      ( r2_hidden(X1,X0)
      | ~ m1_subset_1(X1,X0)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f13948]) ).

fof(f13948,plain,
    ! [X0,X1] :
      ( ( ( ( m1_subset_1(X1,X0)
            | ~ v1_xboole_0(X1) )
          & ( v1_xboole_0(X1)
            | ~ m1_subset_1(X1,X0) ) )
        | ~ v1_xboole_0(X0) )
      & ( ( ( m1_subset_1(X1,X0)
            | ~ r2_hidden(X1,X0) )
          & ( r2_hidden(X1,X0)
            | ~ m1_subset_1(X1,X0) ) )
        | v1_xboole_0(X0) ) ),
    inference(nnf_transformation,[],[f13439]) ).

fof(f13439,plain,
    ! [X0,X1] :
      ( ( ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) )
        | ~ v1_xboole_0(X0) )
      & ( ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) )
        | v1_xboole_0(X0) ) ),
    inference(ennf_transformation,[],[f480]) ).

fof(f480,axiom,
    ! [X0,X1] :
      ( ( v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> v1_xboole_0(X1) ) )
      & ( ~ v1_xboole_0(X0)
       => ( m1_subset_1(X1,X0)
        <=> r2_hidden(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f16259,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16258,f14034]) ).

fof(f16258,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16257,f14035]) ).

fof(f16257,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16256,f14036]) ).

fof(f16256,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16255,f14037]) ).

fof(f16255,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16254,f14038]) ).

fof(f16254,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | ~ spl142_5
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16253,f15458]) ).

fof(f16253,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4
    | spl142_56 ),
    inference(subsumption_resolution,[],[f16252,f16109]) ).

fof(f16109,plain,
    ( ~ v4_group_6(sK8,sK7,sK7)
    | spl142_56 ),
    inference(avatar_component_clause,[],[f16107]) ).

fof(f16252,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | v4_group_6(sK8,sK7,sK7)
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_3
    | ~ spl142_4 ),
    inference(subsumption_resolution,[],[f16251,f15438]) ).

fof(f16251,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | v4_group_6(sK8,sK7,sK7)
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_2
    | ~ spl142_4 ),
    inference(subsumption_resolution,[],[f16221,f15428]) ).

fof(f16221,plain,
    ( ~ r2_hidden(sK8,k1_autgroup(sK7))
    | ~ m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(sK8,sK7,sK7)
    | v4_group_6(sK8,sK7,sK7)
    | ~ v1_funct_1(sK8)
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | ~ spl142_4 ),
    inference(resolution,[],[f15448,f14116]) ).

fof(f14116,plain,
    ! [X0,X1] :
      ( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ r2_hidden(X1,k1_autgroup(X0))
      | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ v1_group_6(X1,X0,X0)
      | v4_group_6(X1,X0,X0)
      | ~ v1_funct_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13720]) ).

fof(f13720,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r2_hidden(X1,k1_autgroup(X0))
              | ~ v4_group_6(X1,X0,X0) )
            & ( v4_group_6(X1,X0,X0)
              | ~ r2_hidden(X1,k1_autgroup(X0)) ) )
          | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_group_6(X1,X0,X0)
          | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f12959]) ).

fof(f12959,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r2_hidden(X1,k1_autgroup(X0))
          <=> v4_group_6(X1,X0,X0) )
          | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_group_6(X1,X0,X0)
          | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12958]) ).

fof(f12958,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r2_hidden(X1,k1_autgroup(X0))
          <=> v4_group_6(X1,X0,X0) )
          | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_group_6(X1,X0,X0)
          | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12880]) ).

fof(f12880,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
            & v1_group_6(X1,X0,X0)
            & v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
            & v1_funct_1(X1) )
         => ( r2_hidden(X1,k1_autgroup(X0))
          <=> v4_group_6(X1,X0,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).

fof(f17006,plain,
    ( spl142_8
    | ~ spl142_75 ),
    inference(avatar_contradiction_clause,[],[f17005]) ).

fof(f17005,plain,
    ( $false
    | spl142_8
    | ~ spl142_75 ),
    inference(subsumption_resolution,[],[f16980,f15063]) ).

fof(f15063,plain,
    v1_relat_1(np__0),
    inference(definition_unfolding,[],[f14157,f14741]) ).

fof(f14157,plain,
    v1_relat_1(k1_xboole_0),
    inference(cnf_transformation,[],[f685]) ).

fof(f685,axiom,
    ( v1_relat_1(k1_xboole_0)
    & v1_xboole_0(k1_xboole_0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).

fof(f16980,plain,
    ( ~ v1_relat_1(np__0)
    | spl142_8
    | ~ spl142_75 ),
    inference(superposition,[],[f15489,f16888]) ).

fof(f15489,plain,
    ( ~ v1_relat_1(sK8)
    | spl142_8 ),
    inference(avatar_component_clause,[],[f15487]) ).

fof(f15487,plain,
    ( spl142_8
  <=> v1_relat_1(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_8])]) ).

fof(f16927,plain,
    ( ~ spl142_6
    | spl142_52 ),
    inference(avatar_contradiction_clause,[],[f16920]) ).

fof(f16920,plain,
    ( $false
    | ~ spl142_6
    | spl142_52 ),
    inference(unit_resulting_resolution,[],[f15075,f15463,f16031,f14737]) ).

fof(f14737,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ v1_xboole_0(X1)
      | ~ v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f13440]) ).

fof(f13440,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | X0 = X1
      | ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ~ ( v1_xboole_0(X1)
        & X0 != X1
        & v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).

fof(f16031,plain,
    ( np__0 != u1_struct_0(sK7)
    | spl142_52 ),
    inference(avatar_component_clause,[],[f16030]) ).

fof(f15463,plain,
    ( v1_xboole_0(u1_struct_0(sK7))
    | ~ spl142_6 ),
    inference(avatar_component_clause,[],[f15461]) ).

fof(f15461,plain,
    ( spl142_6
  <=> v1_xboole_0(u1_struct_0(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_6])]) ).

fof(f15075,plain,
    v1_xboole_0(np__0),
    inference(definition_unfolding,[],[f14168,f14741]) ).

fof(f14168,plain,
    v1_xboole_0(k1_xboole_0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f16901,plain,
    ( spl142_75
    | ~ spl142_2
    | ~ spl142_5
    | ~ spl142_52 ),
    inference(avatar_split_clause,[],[f16900,f16030,f15456,f15426,f16886]) ).

fof(f16900,plain,
    ( np__0 = sK8
    | ~ spl142_2
    | ~ spl142_5
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f16857,f15458]) ).

fof(f16857,plain,
    ( np__0 = sK8
    | ~ v1_funct_1(sK8)
    | ~ spl142_2
    | ~ spl142_52 ),
    inference(resolution,[],[f16383,f15055]) ).

fof(f15055,plain,
    ! [X0,X1] :
      ( ~ m2_relset_1(X1,X0,np__0)
      | np__0 = X1
      | ~ v1_funct_1(X1) ),
    inference(definition_unfolding,[],[f14148,f14741,f14741]) ).

fof(f14148,plain,
    ! [X0,X1] :
      ( k1_xboole_0 = X1
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f12975]) ).

fof(f12975,plain,
    ! [X0,X1] :
      ( k1_xboole_0 = X1
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f12974]) ).

fof(f12974,plain,
    ! [X0,X1] :
      ( k1_xboole_0 = X1
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f1491]) ).

fof(f1491,axiom,
    ! [X0,X1] :
      ( ( m2_relset_1(X1,X0,k1_xboole_0)
        & v1_funct_1(X1) )
     => k1_xboole_0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_partfun1) ).

fof(f16383,plain,
    ( m2_relset_1(sK8,np__0,np__0)
    | ~ spl142_2
    | ~ spl142_52 ),
    inference(superposition,[],[f15428,f16032]) ).

fof(f16895,plain,
    ( ~ spl142_2
    | ~ spl142_5
    | spl142_9
    | ~ spl142_52 ),
    inference(avatar_contradiction_clause,[],[f16894]) ).

fof(f16894,plain,
    ( $false
    | ~ spl142_2
    | ~ spl142_5
    | spl142_9
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f16893,f15458]) ).

fof(f16893,plain,
    ( ~ v1_funct_1(sK8)
    | ~ spl142_2
    | spl142_9
    | ~ spl142_52 ),
    inference(subsumption_resolution,[],[f16855,f15493]) ).

fof(f15493,plain,
    ( ~ v2_funct_1(sK8)
    | spl142_9 ),
    inference(avatar_component_clause,[],[f15491]) ).

fof(f15491,plain,
    ( spl142_9
  <=> v2_funct_1(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl142_9])]) ).

fof(f16855,plain,
    ( v2_funct_1(sK8)
    | ~ v1_funct_1(sK8)
    | ~ spl142_2
    | ~ spl142_52 ),
    inference(resolution,[],[f16383,f15078]) ).

fof(f15078,plain,
    ! [X0,X1] :
      ( ~ m2_relset_1(X1,X0,np__0)
      | v2_funct_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(definition_unfolding,[],[f14201,f14741]) ).

fof(f14201,plain,
    ! [X0,X1] :
      ( v2_funct_1(X1)
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f13003]) ).

fof(f13003,plain,
    ! [X0,X1] :
      ( v2_funct_1(X1)
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f13002]) ).

fof(f13002,plain,
    ! [X0,X1] :
      ( v2_funct_1(X1)
      | ~ m2_relset_1(X1,X0,k1_xboole_0)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f1493]) ).

fof(f1493,axiom,
    ! [X0,X1] :
      ( ( m2_relset_1(X1,X0,k1_xboole_0)
        & v1_funct_1(X1) )
     => v2_funct_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_partfun1) ).

fof(f16097,plain,
    ( spl142_6
    | ~ spl142_1
    | ~ spl142_55 ),
    inference(avatar_split_clause,[],[f15481,f16094,f15422,f15461]) ).

fof(f15481,plain,
    ( ~ m1_subset_1(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v1_xboole_0(u1_struct_0(sK7)) ),
    inference(resolution,[],[f14040,f14990]) ).

fof(f14990,plain,
    ! [X2,X3,X0,X1] :
      ( m2_fraenkel(X3,X0,X1,X2)
      | ~ m1_subset_1(X3,X2)
      | ~ m1_fraenkel(X2,X0,X1)
      | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f14019]) ).

fof(f14019,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( m2_fraenkel(X3,X0,X1,X2)
            | ~ m1_subset_1(X3,X2) )
          & ( m1_subset_1(X3,X2)
            | ~ m2_fraenkel(X3,X0,X1,X2) ) )
      | ~ m1_fraenkel(X2,X0,X1)
      | v1_xboole_0(X1) ),
    inference(nnf_transformation,[],[f13642]) ).

fof(f13642,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) )
      | ~ m1_fraenkel(X2,X0,X1)
      | v1_xboole_0(X1) ),
    inference(flattening,[],[f13641]) ).

fof(f13641,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) )
      | ~ m1_fraenkel(X2,X0,X1)
      | v1_xboole_0(X1) ),
    inference(ennf_transformation,[],[f2937]) ).

fof(f2937,axiom,
    ! [X0,X1,X2] :
      ( ( m1_fraenkel(X2,X0,X1)
        & ~ v1_xboole_0(X1) )
     => ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).

fof(f14040,plain,
    ~ m2_fraenkel(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7)),
    inference(cnf_transformation,[],[f13692]) ).

fof(f16084,plain,
    spl142_1,
    inference(avatar_contradiction_clause,[],[f16083]) ).

fof(f16083,plain,
    ( $false
    | spl142_1 ),
    inference(subsumption_resolution,[],[f16082,f14034]) ).

fof(f16082,plain,
    ( v3_struct_0(sK7)
    | spl142_1 ),
    inference(subsumption_resolution,[],[f16081,f14035]) ).

fof(f16081,plain,
    ( ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | spl142_1 ),
    inference(subsumption_resolution,[],[f16080,f14036]) ).

fof(f16080,plain,
    ( ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | spl142_1 ),
    inference(subsumption_resolution,[],[f16079,f14037]) ).

fof(f16079,plain,
    ( ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | spl142_1 ),
    inference(subsumption_resolution,[],[f16074,f14038]) ).

fof(f16074,plain,
    ( ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7)
    | spl142_1 ),
    inference(resolution,[],[f15424,f14140]) ).

fof(f14140,plain,
    ! [X0] :
      ( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f12969]) ).

fof(f12969,plain,
    ! [X0] :
      ( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12968]) ).

fof(f12968,plain,
    ! [X0] :
      ( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12867]) ).

fof(f12867,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).

fof(f15424,plain,
    ( ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | spl142_1 ),
    inference(avatar_component_clause,[],[f15422]) ).

fof(f15916,plain,
    ( spl142_44
    | ~ spl142_43 ),
    inference(avatar_split_clause,[],[f15915,f15900,f15904]) ).

fof(f15915,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7)) ),
    inference(subsumption_resolution,[],[f15914,f14034]) ).

fof(f15914,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15913,f14035]) ).

fof(f15913,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15912,f14036]) ).

fof(f15912,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15911,f14037]) ).

fof(f15911,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15910,f14038]) ).

fof(f15910,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15909,f15390]) ).

fof(f15909,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15908,f15400]) ).

fof(f15908,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15838,f15405]) ).

fof(f15838,plain,
    ( ~ v4_group_6(k2_funct_1(sK8),sK7,sK7)
    | ~ m2_relset_1(k2_funct_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_6(k2_funct_1(sK8),sK7,sK7)
    | r2_hidden(k2_funct_1(sK8),k1_autgroup(sK7))
    | ~ v1_funct_1(k2_funct_1(sK8))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f15395,f14117]) ).

fof(f14117,plain,
    ! [X0,X1] :
      ( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ v4_group_6(X1,X0,X0)
      | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ v1_group_6(X1,X0,X0)
      | r2_hidden(X1,k1_autgroup(X0))
      | ~ v1_funct_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13720]) ).

fof(f15498,plain,
    ( ~ spl142_8
    | ~ spl142_5
    | ~ spl142_9
    | ~ spl142_10 ),
    inference(avatar_split_clause,[],[f15482,f15495,f15491,f15456,f15487]) ).

fof(f15482,plain,
    ( ~ m2_fraenkel(k4_relat_1(sK8),u1_struct_0(sK7),u1_struct_0(sK7),k1_autgroup(sK7))
    | ~ v2_funct_1(sK8)
    | ~ v1_funct_1(sK8)
    | ~ v1_relat_1(sK8) ),
    inference(superposition,[],[f14040,f14093]) ).

fof(f14093,plain,
    ! [X0] :
      ( k4_relat_1(X0) = k2_funct_1(X0)
      | ~ v2_funct_1(X0)
      | ~ v1_funct_1(X0)
      | ~ v1_relat_1(X0) ),
    inference(cnf_transformation,[],[f12947]) ).

fof(f12947,plain,
    ! [X0] :
      ( k4_relat_1(X0) = k2_funct_1(X0)
      | ~ v2_funct_1(X0)
      | ~ v1_funct_1(X0)
      | ~ v1_relat_1(X0) ),
    inference(flattening,[],[f12946]) ).

fof(f12946,plain,
    ! [X0] :
      ( k4_relat_1(X0) = k2_funct_1(X0)
      | ~ v2_funct_1(X0)
      | ~ v1_funct_1(X0)
      | ~ v1_relat_1(X0) ),
    inference(ennf_transformation,[],[f988]) ).

fof(f988,axiom,
    ! [X0] :
      ( ( v1_funct_1(X0)
        & v1_relat_1(X0) )
     => ( v2_funct_1(X0)
       => k4_relat_1(X0) = k2_funct_1(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).

fof(f15471,plain,
    ( spl142_6
    | ~ spl142_1
    | spl142_7 ),
    inference(avatar_split_clause,[],[f15382,f15468,f15422,f15461]) ).

fof(f15382,plain,
    ( m1_subset_1(sK8,k1_autgroup(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v1_xboole_0(u1_struct_0(sK7)) ),
    inference(resolution,[],[f14039,f14989]) ).

fof(f14989,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_fraenkel(X3,X0,X1,X2)
      | m1_subset_1(X3,X2)
      | ~ m1_fraenkel(X2,X0,X1)
      | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f14019]) ).

fof(f15459,plain,
    ( ~ spl142_1
    | spl142_5 ),
    inference(avatar_split_clause,[],[f15454,f15456,f15422]) ).

fof(f15454,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7)) ),
    inference(subsumption_resolution,[],[f15453,f14034]) ).

fof(f15453,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15452,f14035]) ).

fof(f15452,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15451,f14036]) ).

fof(f15451,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15450,f14037]) ).

fof(f15450,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15378,f14038]) ).

fof(f15378,plain,
    ( v1_funct_1(sK8)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f15288]) ).

fof(f15288,plain,
    ! [X3,X0] :
      ( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_funct_1(X3)
      | ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f14130]) ).

fof(f14130,plain,
    ! [X3,X0,X1] :
      ( v1_funct_1(X3)
      | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
      | k1_autgroup(X0) != X1
      | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13730]) ).

fof(f13730,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_autgroup(X0) = X1
              | ~ sP2(X0,X1)
              | ( ( ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_group_6(sK22(X0,X1),X0,X0)
                  | ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_funct_1(sK22(X0,X1)) )
                & m2_fraenkel(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) )
            & ( ( sP2(X0,X1)
                & ! [X3] :
                    ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_group_6(X3,X0,X0)
                      & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_funct_1(X3) )
                    | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
              | k1_autgroup(X0) != X1 ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f13728,f13729]) ).

fof(f13729,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
            | ~ v1_group_6(X2,X0,X0)
            | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
            | ~ v1_funct_1(X2) )
          & m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
     => ( ( ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_group_6(sK22(X0,X1),X0,X0)
          | ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_funct_1(sK22(X0,X1)) )
        & m2_fraenkel(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f13728,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_autgroup(X0) = X1
              | ~ sP2(X0,X1)
              | ? [X2] :
                  ( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_group_6(X2,X0,X0)
                    | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_funct_1(X2) )
                  & m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
            & ( ( sP2(X0,X1)
                & ! [X3] :
                    ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_group_6(X3,X0,X0)
                      & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_funct_1(X3) )
                    | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
              | k1_autgroup(X0) != X1 ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f13727]) ).

fof(f13727,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_autgroup(X0) = X1
              | ~ sP2(X0,X1)
              | ? [X3] :
                  ( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_group_6(X3,X0,X0)
                    | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_funct_1(X3) )
                  & m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
            & ( ( sP2(X0,X1)
                & ! [X3] :
                    ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_group_6(X3,X0,X0)
                      & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_funct_1(X3) )
                    | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
              | k1_autgroup(X0) != X1 ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f13726]) ).

fof(f13726,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_autgroup(X0) = X1
              | ~ sP2(X0,X1)
              | ? [X3] :
                  ( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_group_6(X3,X0,X0)
                    | ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    | ~ v1_funct_1(X3) )
                  & m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
            & ( ( sP2(X0,X1)
                & ! [X3] :
                    ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_group_6(X3,X0,X0)
                      & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                      & v1_funct_1(X3) )
                    | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
              | k1_autgroup(X0) != X1 ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f13682]) ).

fof(f13682,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k1_autgroup(X0) = X1
          <=> ( sP2(X0,X1)
              & ! [X3] :
                  ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X3,X0,X0)
                    & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X3) )
                  | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f12965,f13681]) ).

fof(f13681,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
    <=> ! [X2] :
          ( ( r2_hidden(X2,X1)
          <=> ( v3_group_6(X2,X0,X0)
              & v2_funct_1(X2) ) )
          | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_group_6(X2,X0,X0)
          | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
          | ~ v1_funct_1(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f12965,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k1_autgroup(X0) = X1
          <=> ( ! [X2] :
                  ( ( r2_hidden(X2,X1)
                  <=> ( v3_group_6(X2,X0,X0)
                      & v2_funct_1(X2) ) )
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_group_6(X2,X0,X0)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_funct_1(X2) )
              & ! [X3] :
                  ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X3,X0,X0)
                    & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X3) )
                  | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f12964]) ).

fof(f12964,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k1_autgroup(X0) = X1
          <=> ( ! [X2] :
                  ( ( r2_hidden(X2,X1)
                  <=> ( v3_group_6(X2,X0,X0)
                      & v2_funct_1(X2) ) )
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_group_6(X2,X0,X0)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                  | ~ v1_funct_1(X2) )
              & ! [X3] :
                  ( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X3,X0,X0)
                    & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X3) )
                  | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
          | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12886]) ).

fof(f12886,plain,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
         => ( k1_autgroup(X0) = X1
          <=> ( ! [X2] :
                  ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X2,X0,X0)
                    & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X2) )
                 => ( r2_hidden(X2,X1)
                  <=> ( v3_group_6(X2,X0,X0)
                      & v2_funct_1(X2) ) ) )
              & ! [X3] :
                  ( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
                 => ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X3,X0,X0)
                    & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X3) ) ) ) ) ) ),
    inference(rectify,[],[f12876]) ).

fof(f12876,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
         => ( k1_autgroup(X0) = X1
          <=> ( ! [X2] :
                  ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X2,X0,X0)
                    & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X2) )
                 => ( r2_hidden(X2,X1)
                  <=> ( v3_group_6(X2,X0,X0)
                      & v2_funct_1(X2) ) ) )
              & ! [X2] :
                  ( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
                 => ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_group_6(X2,X0,X0)
                    & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
                    & v1_funct_1(X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).

fof(f15449,plain,
    ( ~ spl142_1
    | spl142_4 ),
    inference(avatar_split_clause,[],[f15444,f15446,f15422]) ).

fof(f15444,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7)) ),
    inference(subsumption_resolution,[],[f15443,f14034]) ).

fof(f15443,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15442,f14035]) ).

fof(f15442,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15441,f14036]) ).

fof(f15441,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15440,f14037]) ).

fof(f15440,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15377,f14038]) ).

fof(f15377,plain,
    ( v1_funct_2(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f15287]) ).

fof(f15287,plain,
    ! [X3,X0] :
      ( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
      | ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f14131]) ).

fof(f14131,plain,
    ! [X3,X0,X1] :
      ( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
      | k1_autgroup(X0) != X1
      | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13730]) ).

fof(f15439,plain,
    ( ~ spl142_1
    | spl142_3 ),
    inference(avatar_split_clause,[],[f15434,f15436,f15422]) ).

fof(f15434,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7)) ),
    inference(subsumption_resolution,[],[f15433,f14034]) ).

fof(f15433,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15432,f14035]) ).

fof(f15432,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15431,f14036]) ).

fof(f15431,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15430,f14037]) ).

fof(f15430,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15376,f14038]) ).

fof(f15376,plain,
    ( v1_group_6(sK8,sK7,sK7)
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f15286]) ).

fof(f15286,plain,
    ! [X3,X0] :
      ( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v1_group_6(X3,X0,X0)
      | ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f14132]) ).

fof(f14132,plain,
    ! [X3,X0,X1] :
      ( v1_group_6(X3,X0,X0)
      | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
      | k1_autgroup(X0) != X1
      | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13730]) ).

fof(f15429,plain,
    ( ~ spl142_1
    | spl142_2 ),
    inference(avatar_split_clause,[],[f15420,f15426,f15422]) ).

fof(f15420,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7)) ),
    inference(subsumption_resolution,[],[f15419,f14034]) ).

fof(f15419,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15418,f14035]) ).

fof(f15418,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15417,f14036]) ).

fof(f15417,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15416,f14037]) ).

fof(f15416,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(subsumption_resolution,[],[f15375,f14038]) ).

fof(f15375,plain,
    ( m2_relset_1(sK8,u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ m1_fraenkel(k1_autgroup(sK7),u1_struct_0(sK7),u1_struct_0(sK7))
    | ~ l1_group_1(sK7)
    | ~ v4_group_1(sK7)
    | ~ v3_group_1(sK7)
    | ~ v1_group_1(sK7)
    | v3_struct_0(sK7) ),
    inference(resolution,[],[f14039,f15285]) ).

fof(f15285,plain,
    ! [X3,X0] :
      ( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
      | ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f14133]) ).

fof(f14133,plain,
    ! [X3,X0,X1] :
      ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
      | ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
      | k1_autgroup(X0) != X1
      | ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f13730]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP620+3 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 06:01:09 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.06  % (28902)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2992ds/83Mi)
% 0.87/1.06  % (28896)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2992ds/34Mi)
% 0.87/1.06  % (28897)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2992ds/51Mi)
% 0.87/1.06  % (28898)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2992ds/78Mi)
% 0.87/1.06  % (28899)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2992ds/33Mi)
% 0.87/1.06  % (28900)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2992ds/34Mi)
% 0.87/1.06  % (28901)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2992ds/45Mi)
% 0.87/1.07  % (28903)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2992ds/56Mi)
% 0.87/1.08  % (28899)Instruction limit reached!
% 0.87/1.08  % (28899)------------------------------
% 0.87/1.08  % (28899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.08  % (28899)Termination reason: Unknown
% 0.87/1.08  % (28899)Termination phase: SInE selection
% 0.87/1.08  
% 0.87/1.08  % (28899)Memory used [KB]: 18331
% 0.87/1.08  % (28899)Time elapsed: 0.024 s
% 0.87/1.08  % (28899)Instructions burned: 34 (million)
% 0.87/1.08  % (28899)------------------------------
% 0.87/1.08  % (28899)------------------------------
% 0.87/1.08  % (28900)Instruction limit reached!
% 0.87/1.08  % (28900)------------------------------
% 0.87/1.08  % (28900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/1.08  % (28900)Termination reason: Unknown
% 0.87/1.08  % (28900)Termination phase: SInE selection
% 0.87/1.08  
% 0.87/1.08  % (28900)Memory used [KB]: 18331
% 0.87/1.08  % (28900)Time elapsed: 0.024 s
% 0.87/1.08  % (28900)Instructions burned: 34 (million)
% 0.87/1.08  % (28900)------------------------------
% 0.87/1.08  % (28900)------------------------------
% 1.02/1.09  % (28905)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2992ds/50Mi)
% 1.02/1.09  % (28904)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2992ds/55Mi)
% 1.02/1.09  % (28902)Instruction limit reached!
% 1.02/1.09  % (28902)------------------------------
% 1.02/1.09  % (28902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09  % (28902)Termination reason: Unknown
% 1.02/1.09  % (28902)Termination phase: SInE selection
% 1.02/1.09  
% 1.02/1.09  % (28902)Memory used [KB]: 18523
% 1.02/1.09  % (28902)Time elapsed: 0.032 s
% 1.02/1.09  % (28902)Instructions burned: 84 (million)
% 1.02/1.09  % (28902)------------------------------
% 1.02/1.09  % (28902)------------------------------
% 1.02/1.09  % (28897)Instruction limit reached!
% 1.02/1.09  % (28897)------------------------------
% 1.02/1.09  % (28897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09  % (28897)Termination reason: Unknown
% 1.02/1.09  % (28897)Termination phase: SInE selection
% 1.02/1.09  
% 1.02/1.09  % (28897)Memory used [KB]: 18479
% 1.02/1.09  % (28897)Time elapsed: 0.035 s
% 1.02/1.09  % (28897)Instructions burned: 52 (million)
% 1.02/1.09  % (28897)------------------------------
% 1.02/1.09  % (28897)------------------------------
% 1.02/1.09  % (28906)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2992ds/208Mi)
% 1.02/1.09  % (28896)Instruction limit reached!
% 1.02/1.09  % (28896)------------------------------
% 1.02/1.09  % (28896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.09  % (28896)Termination reason: Unknown
% 1.02/1.09  % (28896)Termination phase: SInE selection
% 1.02/1.09  
% 1.02/1.09  % (28896)Memory used [KB]: 18331
% 1.02/1.09  % (28896)Time elapsed: 0.026 s
% 1.02/1.09  % (28896)Instructions burned: 34 (million)
% 1.02/1.09  % (28896)------------------------------
% 1.02/1.09  % (28896)------------------------------
% 1.02/1.10  % (28907)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2992ds/52Mi)
% 1.02/1.10  % (28908)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2992ds/518Mi)
% 1.02/1.10  % (28901)Instruction limit reached!
% 1.02/1.10  % (28901)------------------------------
% 1.02/1.10  % (28901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.10  % (28901)Termination reason: Unknown
% 1.02/1.10  % (28901)Termination phase: SInE selection
% 1.02/1.10  
% 1.02/1.10  % (28901)Memory used [KB]: 18447
% 1.02/1.10  % (28901)Time elapsed: 0.033 s
% 1.02/1.10  % (28901)Instructions burned: 46 (million)
% 1.02/1.10  % (28901)------------------------------
% 1.02/1.10  % (28901)------------------------------
% 1.02/1.11  % (28909)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2992ds/42Mi)
% 1.02/1.11  % (28898)Instruction limit reached!
% 1.02/1.11  % (28898)------------------------------
% 1.02/1.11  % (28898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.11  % (28898)Termination reason: Unknown
% 1.02/1.11  % (28898)Termination phase: SInE selection
% 1.02/1.11  
% 1.02/1.11  % (28898)Memory used [KB]: 18653
% 1.02/1.11  % (28898)Time elapsed: 0.052 s
% 1.02/1.11  % (28898)Instructions burned: 78 (million)
% 1.02/1.11  % (28898)------------------------------
% 1.02/1.11  % (28898)------------------------------
% 1.02/1.11  % (28905)Instruction limit reached!
% 1.02/1.11  % (28905)------------------------------
% 1.02/1.11  % (28905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.11  % (28905)Termination reason: Unknown
% 1.02/1.11  % (28905)Termination phase: SInE selection
% 1.02/1.11  
% 1.02/1.11  % (28905)Memory used [KB]: 18479
% 1.02/1.11  % (28905)Time elapsed: 0.027 s
% 1.02/1.11  % (28905)Instructions burned: 51 (million)
% 1.02/1.11  % (28905)------------------------------
% 1.02/1.11  % (28905)------------------------------
% 1.02/1.11  % (28903)Instruction limit reached!
% 1.02/1.11  % (28903)------------------------------
% 1.02/1.11  % (28903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.11  % (28903)Termination reason: Unknown
% 1.02/1.11  % (28903)Termination phase: SInE selection
% 1.02/1.11  
% 1.02/1.11  % (28903)Memory used [KB]: 18503
% 1.02/1.11  % (28903)Time elapsed: 0.039 s
% 1.02/1.11  % (28903)Instructions burned: 56 (million)
% 1.02/1.11  % (28903)------------------------------
% 1.02/1.11  % (28903)------------------------------
% 1.02/1.11  % (28910)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2992ds/243Mi)
% 1.02/1.12  % (28911)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2992ds/117Mi)
% 1.02/1.12  % (28912)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2992ds/143Mi)
% 1.02/1.12  % (28904)Instruction limit reached!
% 1.02/1.12  % (28904)------------------------------
% 1.02/1.12  % (28904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.12  % (28904)Termination reason: Unknown
% 1.02/1.12  % (28904)Termination phase: SInE selection
% 1.02/1.12  
% 1.02/1.12  % (28904)Memory used [KB]: 18503
% 1.02/1.12  % (28904)Time elapsed: 0.039 s
% 1.02/1.12  % (28904)Instructions burned: 56 (million)
% 1.02/1.12  % (28904)------------------------------
% 1.02/1.12  % (28904)------------------------------
% 1.02/1.13  % (28913)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2992ds/93Mi)
% 1.02/1.13  % (28909)Instruction limit reached!
% 1.02/1.13  % (28909)------------------------------
% 1.02/1.13  % (28909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.13  % (28909)Termination reason: Unknown
% 1.02/1.13  % (28909)Termination phase: Preprocessing 1
% 1.02/1.13  
% 1.02/1.13  % (28909)Memory used [KB]: 18470
% 1.02/1.13  % (28909)Time elapsed: 0.023 s
% 1.02/1.13  % (28909)Instructions burned: 42 (million)
% 1.02/1.13  % (28909)------------------------------
% 1.02/1.13  % (28909)------------------------------
% 1.02/1.13  % (28907)Instruction limit reached!
% 1.02/1.13  % (28907)------------------------------
% 1.02/1.13  % (28907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/1.13  % (28907)Termination reason: Unknown
% 1.02/1.13  % (28907)Termination phase: SInE selection
% 1.02/1.13  
% 1.02/1.13  % (28907)Memory used [KB]: 18503
% 1.02/1.13  % (28907)Time elapsed: 0.039 s
% 1.02/1.13  % (28907)Instructions burned: 52 (million)
% 1.02/1.13  % (28907)------------------------------
% 1.02/1.13  % (28907)------------------------------
% 1.02/1.14  % (28914)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2992ds/62Mi)
% 1.02/1.14  % (28915)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2992ds/32Mi)
% 1.32/1.16  % (28906)Instruction limit reached!
% 1.32/1.16  % (28906)------------------------------
% 1.32/1.16  % (28906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/1.16  % (28906)Termination reason: Unknown
% 1.32/1.16  % (28906)Termination phase: Saturation
% 1.32/1.16  
% 1.32/1.16  % (28906)Memory used [KB]: 20307
% 1.32/1.16  % (28906)Time elapsed: 0.067 s
% 1.32/1.16  % (28906)Instructions burned: 208 (million)
% 1.32/1.16  % (28906)------------------------------
% 1.32/1.16  % (28906)------------------------------
% 1.32/1.16  % (28916)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2991ds/1919Mi)
% 1.32/1.16  % (28911)Instruction limit reached!
% 1.32/1.16  % (28911)------------------------------
% 1.32/1.16  % (28911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/1.16  % (28911)Termination reason: Unknown
% 1.32/1.16  % (28911)Termination phase: Property scanning
% 1.32/1.16  
% 1.32/1.16  % (28911)Memory used [KB]: 19895
% 1.32/1.16  % (28911)Time elapsed: 0.050 s
% 1.32/1.16  % (28911)Instructions burned: 120 (million)
% 1.32/1.16  % (28911)------------------------------
% 1.32/1.16  % (28911)------------------------------
% 1.32/1.16  % (28915)Instruction limit reached!
% 1.32/1.16  % (28915)------------------------------
% 1.32/1.16  % (28915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/1.16  % (28915)Termination reason: Unknown
% 1.32/1.16  % (28915)Termination phase: SInE selection
% 1.32/1.16  
% 1.32/1.16  % (28915)Memory used [KB]: 18332
% 1.32/1.16  % (28915)Time elapsed: 0.026 s
% 1.32/1.16  % (28915)Instructions burned: 32 (million)
% 1.32/1.16  % (28915)------------------------------
% 1.32/1.16  % (28915)------------------------------
% 1.32/1.17  % (28917)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2991ds/55Mi)
% 1.32/1.17  % (28914)Instruction limit reached!
% 1.32/1.17  % (28914)------------------------------
% 1.32/1.17  % (28914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/1.17  % (28914)Termination reason: Unknown
% 1.32/1.17  % (28914)Termination phase: Preprocessing 1
% 1.32/1.17  
% 1.32/1.17  % (28914)Memory used [KB]: 18591
% 1.32/1.17  % (28914)Time elapsed: 0.036 s
% 1.32/1.17  % (28914)Instructions burned: 63 (million)
% 1.32/1.17  % (28914)------------------------------
% 1.32/1.17  % (28914)------------------------------
% 1.32/1.17  % (28918)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2991ds/53Mi)
% 1.32/1.18  % (28919)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2991ds/46Mi)
% 1.32/1.18  % (28913)Instruction limit reached!
% 1.32/1.18  % (28913)------------------------------
% 1.32/1.18  % (28913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/1.18  % (28913)Termination reason: Unknown
% 1.32/1.18  % (28913)Termination phase: Unused predicate definition removal
% 1.32/1.18  
% 1.32/1.18  % (28913)Memory used [KB]: 19534
% 1.32/1.18  % (28913)Time elapsed: 0.055 s
% 1.32/1.18  % (28913)Instructions burned: 93 (million)
% 1.32/1.18  % (28913)------------------------------
% 1.32/1.18  % (28913)------------------------------
% 1.58/1.19  % (28920)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2991ds/102Mi)
% 1.58/1.19  % (28917)Instruction limit reached!
% 1.58/1.19  % (28917)------------------------------
% 1.58/1.19  % (28917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.19  % (28917)Termination reason: Unknown
% 1.58/1.19  % (28917)Termination phase: SInE selection
% 1.58/1.19  
% 1.58/1.19  % (28917)Memory used [KB]: 18519
% 1.58/1.19  % (28917)Time elapsed: 0.023 s
% 1.58/1.19  % (28917)Instructions burned: 57 (million)
% 1.58/1.19  % (28917)------------------------------
% 1.58/1.19  % (28917)------------------------------
% 1.58/1.19  % (28921)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2991ds/35Mi)
% 1.58/1.19  % (28919)Instruction limit reached!
% 1.58/1.19  % (28919)------------------------------
% 1.58/1.19  % (28919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.19  % (28919)Termination reason: Unknown
% 1.58/1.19  % (28919)Termination phase: Preprocessing 1
% 1.58/1.19  
% 1.58/1.19  % (28919)Memory used [KB]: 18586
% 1.58/1.19  % (28919)Time elapsed: 0.020 s
% 1.58/1.19  % (28919)Instructions burned: 46 (million)
% 1.58/1.19  % (28919)------------------------------
% 1.58/1.19  % (28919)------------------------------
% 1.58/1.20  % (28922)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2991ds/87Mi)
% 1.58/1.20  % (28912)Instruction limit reached!
% 1.58/1.20  % (28912)------------------------------
% 1.58/1.20  % (28912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.20  % (28912)Termination reason: Unknown
% 1.58/1.20  % (28912)Termination phase: Preprocessing 2
% 1.58/1.20  
% 1.58/1.20  % (28912)Memory used [KB]: 24111
% 1.58/1.20  % (28912)Time elapsed: 0.083 s
% 1.58/1.20  % (28912)Instructions burned: 145 (million)
% 1.58/1.20  % (28912)------------------------------
% 1.58/1.20  % (28912)------------------------------
% 1.58/1.20  % (28918)Instruction limit reached!
% 1.58/1.20  % (28918)------------------------------
% 1.58/1.20  % (28918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.20  % (28918)Termination reason: Unknown
% 1.58/1.20  % (28918)Termination phase: SInE selection
% 1.58/1.20  
% 1.58/1.20  % (28918)Memory used [KB]: 18503
% 1.58/1.20  % (28918)Time elapsed: 0.033 s
% 1.58/1.20  % (28918)Instructions burned: 53 (million)
% 1.58/1.20  % (28918)------------------------------
% 1.58/1.20  % (28918)------------------------------
% 1.58/1.20  % (28923)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2991ds/109Mi)
% 1.58/1.21  % (28921)Instruction limit reached!
% 1.58/1.21  % (28921)------------------------------
% 1.58/1.21  % (28921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.21  % (28921)Termination reason: Unknown
% 1.58/1.21  % (28921)Termination phase: SInE selection
% 1.58/1.21  
% 1.58/1.21  % (28921)Memory used [KB]: 18332
% 1.58/1.21  % (28921)Time elapsed: 0.014 s
% 1.58/1.21  % (28921)Instructions burned: 35 (million)
% 1.58/1.21  % (28921)------------------------------
% 1.58/1.21  % (28921)------------------------------
% 1.58/1.21  % (28924)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2991ds/161Mi)
% 1.58/1.21  % (28925)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2991ds/69Mi)
% 1.58/1.22  % (28920)Instruction limit reached!
% 1.58/1.22  % (28920)------------------------------
% 1.58/1.22  % (28920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/1.22  % (28920)Termination reason: Unknown
% 1.58/1.22  % (28920)Termination phase: SInE selection
% 1.58/1.22  
% 1.58/1.22  % (28920)Memory used [KB]: 18679
% 1.58/1.22  % (28920)Time elapsed: 0.038 s
% 1.58/1.22  % (28920)Instructions burned: 103 (million)
% 1.58/1.22  % (28920)------------------------------
% 1.58/1.22  % (28920)------------------------------
% 1.80/1.23  % (28922)Instruction limit reached!
% 1.80/1.23  % (28922)------------------------------
% 1.80/1.23  % (28922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.80/1.23  % (28922)Termination reason: Unknown
% 1.80/1.23  % (28922)Termination phase: Unused predicate definition removal
% 1.80/1.23  
% 1.80/1.23  % (28922)Memory used [KB]: 19156
% 1.80/1.23  % (28922)Time elapsed: 0.031 s
% 1.80/1.23  % (28922)Instructions burned: 87 (million)
% 1.80/1.23  % (28922)------------------------------
% 1.80/1.23  % (28922)------------------------------
% 1.80/1.23  % (28926)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2991ds/40Mi)
% 1.80/1.23  % (28925)Instruction limit reached!
% 1.80/1.23  % (28925)------------------------------
% 1.80/1.23  % (28925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.80/1.23  % (28925)Termination reason: Unknown
% 1.80/1.23  % (28925)Termination phase: Preprocessing 1
% 1.80/1.23  
% 1.80/1.23  % (28925)Memory used [KB]: 18593
% 1.80/1.23  % (28925)Time elapsed: 0.023 s
% 1.80/1.23  % (28925)Instructions burned: 71 (million)
% 1.80/1.23  % (28925)------------------------------
% 1.80/1.23  % (28925)------------------------------
% 1.80/1.23  % (28927)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2991ds/360Mi)
% 1.80/1.23  % (28928)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2991ds/161Mi)
% 1.87/1.24  % (28926)Instruction limit reached!
% 1.87/1.24  % (28926)------------------------------
% 1.87/1.24  % (28926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.24  % (28926)Termination reason: Unknown
% 1.87/1.24  % (28926)Termination phase: SInE selection
% 1.87/1.24  
% 1.87/1.24  % (28926)Memory used [KB]: 18393
% 1.87/1.24  % (28926)Time elapsed: 0.017 s
% 1.87/1.24  % (28926)Instructions burned: 40 (million)
% 1.87/1.24  % (28926)------------------------------
% 1.87/1.24  % (28926)------------------------------
% 1.87/1.25  % (28910)Instruction limit reached!
% 1.87/1.25  % (28910)------------------------------
% 1.87/1.25  % (28910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.25  % (28910)Termination reason: Unknown
% 1.87/1.25  % (28910)Termination phase: Property scanning
% 1.87/1.25  
% 1.87/1.25  % (28910)Memory used [KB]: 23551
% 1.87/1.25  % (28910)Time elapsed: 0.134 s
% 1.87/1.25  % (28910)Instructions burned: 246 (million)
% 1.87/1.25  % (28910)------------------------------
% 1.87/1.25  % (28910)------------------------------
% 1.87/1.25  % (28929)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2991ds/80Mi)
% 1.87/1.25  % (28923)Instruction limit reached!
% 1.87/1.25  % (28923)------------------------------
% 1.87/1.25  % (28923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.25  % (28923)Termination reason: Unknown
% 1.87/1.25  % (28923)Termination phase: SInE selection
% 1.87/1.25  
% 1.87/1.25  % (28923)Memory used [KB]: 18759
% 1.87/1.25  % (28923)Time elapsed: 0.047 s
% 1.87/1.25  % (28923)Instructions burned: 109 (million)
% 1.87/1.25  % (28923)------------------------------
% 1.87/1.25  % (28923)------------------------------
% 1.87/1.25  % (28930)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2991ds/37Mi)
% 1.87/1.25  % (28931)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2990ds/55Mi)
% 1.87/1.27  % (28930)Instruction limit reached!
% 1.87/1.27  % (28930)------------------------------
% 1.87/1.27  % (28930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.27  % (28930)Termination reason: Unknown
% 1.87/1.27  % (28930)Termination phase: SInE selection
% 1.87/1.27  
% 1.87/1.27  % (28930)Memory used [KB]: 18376
% 1.87/1.27  % (28930)Time elapsed: 0.020 s
% 1.87/1.27  % (28930)Instructions burned: 37 (million)
% 1.87/1.27  % (28930)------------------------------
% 1.87/1.27  % (28930)------------------------------
% 1.87/1.27  % (28924)Instruction limit reached!
% 1.87/1.27  % (28924)------------------------------
% 1.87/1.27  % (28924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.27  % (28924)Termination reason: Unknown
% 1.87/1.27  % (28924)Termination phase: Preprocessing 1
% 1.87/1.27  
% 1.87/1.27  % (28924)Memory used [KB]: 18620
% 1.87/1.27  % (28924)Time elapsed: 0.065 s
% 1.87/1.27  % (28924)Instructions burned: 163 (million)
% 1.87/1.27  % (28924)------------------------------
% 1.87/1.27  % (28924)------------------------------
% 1.87/1.27  % (28908)First to succeed.
% 1.87/1.27  % (28932)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2990ds/47Mi)
% 1.87/1.27  % (28933)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2990ds/32Mi)
% 1.87/1.28  % (28931)Instruction limit reached!
% 1.87/1.28  % (28931)------------------------------
% 1.87/1.28  % (28931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.28  % (28931)Termination reason: Unknown
% 1.87/1.28  % (28931)Termination phase: SInE selection
% 1.87/1.28  
% 1.87/1.28  % (28931)Memory used [KB]: 18503
% 1.87/1.28  % (28931)Time elapsed: 0.024 s
% 1.87/1.28  % (28931)Instructions burned: 55 (million)
% 1.87/1.28  % (28931)------------------------------
% 1.87/1.28  % (28931)------------------------------
% 1.87/1.28  % (28908)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28895"
% 1.87/1.28  % (28908)Refutation found. Thanks to Tanya!
% 1.87/1.28  % SZS status Theorem for theBenchmark
% 1.87/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 1.87/1.29  % (28908)------------------------------
% 1.87/1.29  % (28908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/1.29  % (28908)Termination reason: Refutation
% 1.87/1.29  
% 1.87/1.29  % (28908)Memory used [KB]: 21915
% 1.87/1.29  % (28908)Time elapsed: 0.181 s
% 1.87/1.29  % (28908)Instructions burned: 415 (million)
% 1.87/1.29  % (28895)Success in time 0.936 s
% 1.87/1.29  % Vampire---4.8 exiting
%------------------------------------------------------------------------------