TSTP Solution File: GRP628+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:23:08 EDT 2022

% Result   : Theorem 0.17s 0.56s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  131 (  28 unt;   3 typ;   0 def)
%            Number of atoms       :  640 (  63 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  856 ( 344   ~; 384   |; 100   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  106 (  91   !;  15   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_25,type,
    sQ28_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_26,type,
    sQ29_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_27,type,
    sQ30_eqProxy: ( $real * $real ) > $o ).

fof(f1421,plain,
    $false,
    inference(subsumption_resolution,[],[f1420,f415]) ).

fof(f415,plain,
    ~ v3_struct_0(sK10),
    inference(literal_reordering,[],[f330]) ).

fof(f330,plain,
    ~ v3_struct_0(sK10),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ( v1_group_1(sK10)
    & l1_group_1(sK10)
    & ~ v3_struct_0(sK10)
    & v3_group_1(sK10)
    & m1_subset_1(sK12,u1_struct_0(k5_autgroup(sK10)))
    & sK11 = sK12
    & k3_group_1(k5_autgroup(sK10),sK12) != k2_funct_1(sK11)
    & m2_fraenkel(sK11,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10))
    & v4_group_1(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f182,f221,f220,f219]) ).

fof(f219,plain,
    ( ? [X0] :
        ( v1_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & ? [X1] :
            ( ? [X2] :
                ( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
                & X1 = X2
                & k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2) )
            & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
        & v4_group_1(X0) )
   => ( v1_group_1(sK10)
      & l1_group_1(sK10)
      & ~ v3_struct_0(sK10)
      & v3_group_1(sK10)
      & ? [X1] :
          ( ? [X2] :
              ( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK10)))
              & X1 = X2
              & k2_funct_1(X1) != k3_group_1(k5_autgroup(sK10),X2) )
          & m2_fraenkel(X1,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)) )
      & v4_group_1(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f220,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK10)))
            & X1 = X2
            & k2_funct_1(X1) != k3_group_1(k5_autgroup(sK10),X2) )
        & m2_fraenkel(X1,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)) )
   => ( ? [X2] :
          ( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK10)))
          & sK11 = X2
          & k3_group_1(k5_autgroup(sK10),X2) != k2_funct_1(sK11) )
      & m2_fraenkel(sK11,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f221,plain,
    ( ? [X2] :
        ( m1_subset_1(X2,u1_struct_0(k5_autgroup(sK10)))
        & sK11 = X2
        & k3_group_1(k5_autgroup(sK10),X2) != k2_funct_1(sK11) )
   => ( m1_subset_1(sK12,u1_struct_0(k5_autgroup(sK10)))
      & sK11 = sK12
      & k3_group_1(k5_autgroup(sK10),sK12) != k2_funct_1(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f182,plain,
    ? [X0] :
      ( v1_group_1(X0)
      & l1_group_1(X0)
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & ? [X1] :
          ( ? [X2] :
              ( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
              & X1 = X2
              & k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2) )
          & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
      & v4_group_1(X0) ),
    inference(flattening,[],[f181]) ).

fof(f181,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
              & X1 = X2
              & m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
          & m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
      & v4_group_1(X0)
      & l1_group_1(X0)
      & ~ v3_struct_0(X0)
      & v1_group_1(X0)
      & v3_group_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v4_group_1(X0)
          & l1_group_1(X0)
          & ~ v3_struct_0(X0)
          & v1_group_1(X0)
          & v3_group_1(X0) )
       => ! [X1] :
            ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
               => ( X1 = X2
                 => k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( v4_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v1_group_1(X0)
        & v3_group_1(X0) )
     => ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
             => ( X1 = X2
               => k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_autgroup) ).

fof(f1420,plain,
    v3_struct_0(sK10),
    inference(subsumption_resolution,[],[f1419,f512]) ).

fof(f512,plain,
    l1_group_1(sK10),
    inference(literal_reordering,[],[f331]) ).

fof(f331,plain,
    l1_group_1(sK10),
    inference(cnf_transformation,[],[f222]) ).

fof(f1419,plain,
    ( ~ l1_group_1(sK10)
    | v3_struct_0(sK10) ),
    inference(subsumption_resolution,[],[f1418,f478]) ).

fof(f478,plain,
    v4_group_1(sK10),
    inference(literal_reordering,[],[f324]) ).

fof(f324,plain,
    v4_group_1(sK10),
    inference(cnf_transformation,[],[f222]) ).

fof(f1418,plain,
    ( ~ v4_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ l1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1417,f467]) ).

fof(f467,plain,
    v1_group_1(sK10),
    inference(literal_reordering,[],[f332]) ).

fof(f332,plain,
    v1_group_1(sK10),
    inference(cnf_transformation,[],[f222]) ).

fof(f1417,plain,
    ( ~ v1_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ l1_group_1(sK10)
    | ~ v4_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1415,f429]) ).

fof(f429,plain,
    v3_group_1(sK10),
    inference(literal_reordering,[],[f329]) ).

fof(f329,plain,
    v3_group_1(sK10),
    inference(cnf_transformation,[],[f222]) ).

fof(f1415,plain,
    ( ~ v3_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ v4_group_1(sK10)
    | ~ v1_group_1(sK10)
    | ~ l1_group_1(sK10) ),
    inference(resolution,[],[f1402,f497]) ).

fof(f497,plain,
    ! [X0] :
      ( ~ v3_struct_0(k3_autgroup(X0))
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(literal_reordering,[],[f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ v3_struct_0(k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ( v3_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(k3_autgroup(X0))
        & l1_group_1(k3_autgroup(X0)) )
      | v3_struct_0(X0)
      | ~ v1_group_1(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ( v3_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(k3_autgroup(X0))
        & l1_group_1(k3_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,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( v3_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(k3_autgroup(X0))
        & l1_group_1(k3_autgroup(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).

fof(f1402,plain,
    v3_struct_0(k3_autgroup(sK10)),
    inference(subsumption_resolution,[],[f1401,f415]) ).

fof(f1401,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10) ),
    inference(subsumption_resolution,[],[f1400,f429]) ).

fof(f1400,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | v3_struct_0(sK10) ),
    inference(subsumption_resolution,[],[f1399,f752]) ).

fof(f752,plain,
    l1_group_1(k3_autgroup(sK10)),
    inference(subsumption_resolution,[],[f751,f478]) ).

fof(f751,plain,
    ( ~ v4_group_1(sK10)
    | l1_group_1(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f750,f429]) ).

fof(f750,plain,
    ( ~ v3_group_1(sK10)
    | l1_group_1(k3_autgroup(sK10))
    | ~ v4_group_1(sK10) ),
    inference(subsumption_resolution,[],[f749,f415]) ).

fof(f749,plain,
    ( v3_struct_0(sK10)
    | l1_group_1(k3_autgroup(sK10))
    | ~ v4_group_1(sK10)
    | ~ v3_group_1(sK10) ),
    inference(subsumption_resolution,[],[f739,f467]) ).

fof(f739,plain,
    ( ~ v1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | l1_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | v3_struct_0(sK10) ),
    inference(resolution,[],[f416,f512]) ).

fof(f416,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | l1_group_1(k3_autgroup(X0))
      | ~ v4_group_1(X0) ),
    inference(literal_reordering,[],[f262]) ).

fof(f262,plain,
    ! [X0] :
      ( l1_group_1(k3_autgroup(X0))
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v3_struct_0(X0)
      | ~ v1_group_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f1399,plain,
    ( ~ l1_group_1(k3_autgroup(sK10))
    | v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ v3_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1398,f805]) ).

fof(f805,plain,
    v3_group_1(k3_autgroup(sK10)),
    inference(subsumption_resolution,[],[f804,f467]) ).

fof(f804,plain,
    ( v3_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f803,f512]) ).

fof(f803,plain,
    ( ~ l1_group_1(sK10)
    | v3_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f802,f415]) ).

fof(f802,plain,
    ( v3_group_1(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f794,f429]) ).

fof(f794,plain,
    ( ~ v3_group_1(sK10)
    | ~ v1_group_1(sK10)
    | v3_group_1(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ l1_group_1(sK10) ),
    inference(resolution,[],[f472,f478]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_group_1(k3_autgroup(X0)) ),
    inference(literal_reordering,[],[f266]) ).

fof(f266,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | v3_group_1(k3_autgroup(X0))
      | ~ v1_group_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f1398,plain,
    ( ~ v3_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | v3_struct_0(sK10)
    | v3_struct_0(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1397,f478]) ).

fof(f1397,plain,
    ( ~ v4_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ v3_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1396,f467]) ).

fof(f1396,plain,
    ( ~ v1_group_1(sK10)
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v4_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ v3_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1395,f512]) ).

fof(f1395,plain,
    ( ~ l1_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ v4_group_1(sK10)
    | ~ v3_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1394,f734]) ).

fof(f734,plain,
    v4_group_1(k3_autgroup(sK10)),
    inference(subsumption_resolution,[],[f733,f512]) ).

fof(f733,plain,
    ( v4_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f732,f467]) ).

fof(f732,plain,
    ( ~ v1_group_1(sK10)
    | v4_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f731,f429]) ).

fof(f731,plain,
    ( v4_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f717,f415]) ).

fof(f717,plain,
    ( v3_struct_0(sK10)
    | ~ l1_group_1(sK10)
    | v4_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | ~ v3_group_1(sK10) ),
    inference(resolution,[],[f405,f478]) ).

fof(f405,plain,
    ! [X0] :
      ( ~ v4_group_1(X0)
      | v4_group_1(k3_autgroup(X0))
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(literal_reordering,[],[f265]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v4_group_1(k3_autgroup(X0))
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f1394,plain,
    ( ~ v4_group_1(k3_autgroup(sK10))
    | v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | ~ v1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | ~ l1_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1393,f1073]) ).

fof(f1073,plain,
    k3_group_1(k5_autgroup(sK10),sK12) != k3_group_1(k3_autgroup(sK10),sK12),
    inference(backward_demodulation,[],[f436,f1072]) ).

fof(f1072,plain,
    k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12),
    inference(subsumption_resolution,[],[f1071,f478]) ).

fof(f1071,plain,
    ( k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v4_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1070,f415]) ).

fof(f1070,plain,
    ( k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | v3_struct_0(sK10)
    | ~ v4_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1069,f467]) ).

fof(f1069,plain,
    ( k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | v3_struct_0(sK10) ),
    inference(subsumption_resolution,[],[f1068,f512]) ).

fof(f1068,plain,
    ( ~ l1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | ~ v1_group_1(sK10)
    | v3_struct_0(sK10)
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12) ),
    inference(subsumption_resolution,[],[f1066,f429]) ).

fof(f1066,plain,
    ( ~ v3_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10)
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v4_group_1(sK10) ),
    inference(resolution,[],[f1064,f497]) ).

fof(f1064,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12) ),
    inference(subsumption_resolution,[],[f1063,f467]) ).

fof(f1063,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1062,f1024]) ).

fof(f1024,plain,
    m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10)),
    inference(subsumption_resolution,[],[f1023,f467]) ).

fof(f1023,plain,
    ( m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1022,f512]) ).

fof(f1022,plain,
    ( m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1021,f478]) ).

fof(f1021,plain,
    ( m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | ~ v4_group_1(sK10)
    | ~ v1_group_1(sK10)
    | ~ l1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1020,f429]) ).

fof(f1020,plain,
    ( ~ v3_group_1(sK10)
    | ~ v4_group_1(sK10)
    | m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1015,f415]) ).

fof(f1015,plain,
    ( v3_struct_0(sK10)
    | ~ v4_group_1(sK10)
    | ~ l1_group_1(sK10)
    | m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | ~ v3_group_1(sK10) ),
    inference(resolution,[],[f458,f444]) ).

fof(f444,plain,
    m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)),
    inference(literal_reordering,[],[f397]) ).

fof(f397,plain,
    m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)),
    inference(definition_unfolding,[],[f325,f327]) ).

fof(f327,plain,
    sK11 = sK12,
    inference(cnf_transformation,[],[f222]) ).

fof(f325,plain,
    m2_fraenkel(sK11,u1_struct_0(sK10),u1_struct_0(sK10),k4_autgroup(sK10)),
    inference(cnf_transformation,[],[f222]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v3_struct_0(X0) ),
    inference(literal_reordering,[],[f319]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v1_group_1(X0)
      | m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
      | ~ v1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ( v1_group_1(X0)
        & v3_group_1(X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
         => m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).

fof(f1062,plain,
    ( k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | v3_struct_0(k3_autgroup(sK10))
    | ~ v1_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1061,f415]) ).

fof(f1061,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v1_group_1(sK10)
    | ~ m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1060,f478]) ).

fof(f1060,plain,
    ( ~ v4_group_1(sK10)
    | ~ v1_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | v3_struct_0(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1059,f429]) ).

fof(f1059,plain,
    ( ~ v3_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | v3_struct_0(sK10)
    | ~ m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1054,f512]) ).

fof(f1054,plain,
    ( k2_funct_1(sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ l1_group_1(sK10)
    | ~ v4_group_1(sK10)
    | ~ v3_group_1(sK10)
    | ~ m2_fraenkel(sK12,u1_struct_0(sK10),u1_struct_0(sK10),k1_autgroup(sK10))
    | v3_struct_0(k3_autgroup(sK10))
    | v3_struct_0(sK10)
    | ~ v1_group_1(sK10) ),
    inference(resolution,[],[f1047,f463]) ).

fof(f463,plain,
    ! [X2,X0] :
      ( ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
      | v3_struct_0(X0)
      | ~ v4_group_1(X0)
      | ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ l1_group_1(X0)
      | ~ v1_group_1(X0)
      | k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2)
      | ~ v3_group_1(X0) ),
    inference(literal_reordering,[],[f398]) ).

fof(f398,plain,
    ! [X2,X0] :
      ( ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ v3_group_1(X0)
      | ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
      | k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2) ),
    inference(equality_resolution,[],[f284]) ).

fof(f284,plain,
    ! [X2,X0,X1] :
      ( ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | ~ v4_group_1(X0)
      | k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
      | ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
      | X1 != X2
      | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | v3_struct_0(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | ~ v4_group_1(X0)
      | ! [X1] :
          ( ! [X2] :
              ( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
              | ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
              | X1 != X2 )
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      | v3_struct_0(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
              | X1 != X2
              | ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
          | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
      | ~ v4_group_1(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ( v4_group_1(X0)
        & v1_group_1(X0)
        & v3_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
             => ( X1 = X2
               => k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_autgroup) ).

fof(f1047,plain,
    ( m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10)))
    | v3_struct_0(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1046,f429]) ).

fof(f1046,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10))) ),
    inference(subsumption_resolution,[],[f1045,f467]) ).

fof(f1045,plain,
    ( ~ v1_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10)))
    | ~ v3_group_1(sK10) ),
    inference(subsumption_resolution,[],[f1044,f752]) ).

fof(f1044,plain,
    ( ~ l1_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(sK10)
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10)))
    | ~ v1_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1043,f805]) ).

fof(f1043,plain,
    ( ~ v3_group_1(k3_autgroup(sK10))
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10)))
    | ~ v3_group_1(sK10)
    | ~ v1_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10)) ),
    inference(subsumption_resolution,[],[f1042,f512]) ).

fof(f1042,plain,
    ( ~ l1_group_1(sK10)
    | ~ v3_group_1(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10))
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10))) ),
    inference(subsumption_resolution,[],[f1041,f478]) ).

fof(f1041,plain,
    ( ~ v4_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10))
    | v3_struct_0(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(sK10)
    | ~ v1_group_1(sK10)
    | ~ v3_group_1(sK10)
    | m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10))) ),
    inference(subsumption_resolution,[],[f1040,f415]) ).

fof(f1040,plain,
    ( m1_subset_1(sK12,u1_struct_0(k3_autgroup(sK10)))
    | v3_struct_0(sK10)
    | v3_struct_0(k3_autgroup(sK10))
    | ~ v4_group_1(sK10)
    | ~ l1_group_1(sK10)
    | ~ v3_group_1(sK10)
    | ~ v3_group_1(k3_autgroup(sK10))
    | ~ l1_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10) ),
    inference(resolution,[],[f866,f519]) ).

fof(f519,plain,
    ! [X0] :
      ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0) ),
    inference(literal_reordering,[],[f285]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
      | ~ v1_group_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ( v1_group_1(k5_autgroup(X0))
        & m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
      | ~ v1_group_1(X0) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ( v1_group_1(k5_autgroup(X0))
        & m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( v3_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v1_group_1(X0)
        & v4_group_1(X0) )
     => ( v1_group_1(k5_autgroup(X0))
        & m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
    inference(pure_predicate_removal,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ( v3_group_1(X0)
        & l1_group_1(X0)
        & ~ v3_struct_0(X0)
        & v1_group_1(X0)
        & v4_group_1(X0) )
     => ( v1_group_1(k5_autgroup(X0))
        & m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_3(k5_autgroup(X0),k3_autgroup(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).

fof(f866,plain,
    ! [X0] :
      ( ~ m1_group_2(k5_autgroup(sK10),X0)
      | v3_struct_0(X0)
      | m1_subset_1(sK12,u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(resolution,[],[f408,f433]) ).

fof(f433,plain,
    m1_subset_1(sK12,u1_struct_0(k5_autgroup(sK10))),
    inference(literal_reordering,[],[f328]) ).

fof(f328,plain,
    m1_subset_1(sK12,u1_struct_0(k5_autgroup(sK10))),
    inference(cnf_transformation,[],[f222]) ).

fof(f408,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X1))
      | m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(literal_reordering,[],[f342]) ).

fof(f342,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | ~ m1_group_2(X1,X0) ) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_group_1(X0)
        & v3_group_1(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X1))
             => m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).

fof(f436,plain,
    k3_group_1(k5_autgroup(sK10),sK12) != k2_funct_1(sK12),
    inference(literal_reordering,[],[f396]) ).

fof(f396,plain,
    k3_group_1(k5_autgroup(sK10),sK12) != k2_funct_1(sK12),
    inference(definition_unfolding,[],[f326,f327]) ).

fof(f326,plain,
    k3_group_1(k5_autgroup(sK10),sK12) != k2_funct_1(sK11),
    inference(cnf_transformation,[],[f222]) ).

fof(f1393,plain,
    ( v3_struct_0(k3_autgroup(sK10))
    | k3_group_1(k5_autgroup(sK10),sK12) = k3_group_1(k3_autgroup(sK10),sK12)
    | ~ v4_group_1(k3_autgroup(sK10))
    | ~ v3_group_1(k3_autgroup(sK10))
    | ~ v1_group_1(sK10)
    | v3_struct_0(sK10)
    | ~ v4_group_1(sK10)
    | ~ l1_group_1(sK10)
    | ~ v3_group_1(sK10)
    | ~ l1_group_1(k3_autgroup(sK10)) ),
    inference(resolution,[],[f1009,f519]) ).

fof(f1009,plain,
    ! [X3] :
      ( ~ m1_group_2(k5_autgroup(sK10),X3)
      | ~ l1_group_1(X3)
      | ~ v3_group_1(X3)
      | k3_group_1(k5_autgroup(sK10),sK12) = k3_group_1(X3,sK12)
      | v3_struct_0(X3)
      | ~ v4_group_1(X3) ),
    inference(resolution,[],[f1006,f433]) ).

fof(f1006,plain,
    ! [X2,X3,X0] :
      ( ~ m1_subset_1(X3,u1_struct_0(X2))
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | k3_group_1(X2,X3) = k3_group_1(X0,X3)
      | ~ v4_group_1(X0)
      | ~ m1_group_2(X2,X0)
      | ~ v3_group_1(X0) ),
    inference(subsumption_resolution,[],[f410,f408]) ).

fof(f410,plain,
    ! [X2,X3,X0] :
      ( ~ m1_subset_1(X3,u1_struct_0(X2))
      | ~ v4_group_1(X0)
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | v3_struct_0(X0)
      | k3_group_1(X2,X3) = k3_group_1(X0,X3)
      | ~ v3_group_1(X0)
      | ~ m1_group_2(X2,X0) ),
    inference(literal_reordering,[],[f399]) ).

fof(f399,plain,
    ! [X2,X3,X0] :
      ( ~ l1_group_1(X0)
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ v4_group_1(X0)
      | ~ m1_group_2(X2,X0)
      | k3_group_1(X2,X3) = k3_group_1(X0,X3)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X3,u1_struct_0(X2)) ),
    inference(equality_resolution,[],[f363]) ).

fof(f363,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_group_2(X2,X0)
      | k3_group_1(X0,X1) = k3_group_1(X2,X3)
      | X1 != X3
      | ~ m1_subset_1(X3,u1_struct_0(X2))
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,u1_struct_0(X0))
          | ! [X2] :
              ( ~ m1_group_2(X2,X0)
              | ! [X3] :
                  ( k3_group_1(X0,X1) = k3_group_1(X2,X3)
                  | X1 != X3
                  | ~ m1_subset_1(X3,u1_struct_0(X2)) ) ) )
      | v3_struct_0(X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0) ),
    inference(flattening,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( k3_group_1(X0,X1) = k3_group_1(X2,X3)
                  | X1 != X3
                  | ~ m1_subset_1(X3,u1_struct_0(X2)) )
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ( v4_group_1(X0)
        & l1_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X2))
                 => ( X1 = X3
                   => k3_group_1(X0,X1) = k3_group_1(X2,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_group_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 22:33:01 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (8417)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.47  % (8402)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.47  % (8415)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.48  % (8424)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.48  % (8426)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.49  % (8402)Refutation not found, incomplete strategy% (8402)------------------------------
% 0.17/0.49  % (8402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (8402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (8402)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50  
% 0.17/0.50  % (8402)Memory used [KB]: 5756
% 0.17/0.50  % (8402)Time elapsed: 0.103 s
% 0.17/0.50  % (8402)Instructions burned: 11 (million)
% 0.17/0.50  % (8402)------------------------------
% 0.17/0.50  % (8402)------------------------------
% 0.17/0.50  % (8409)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.50  % (8409)Instruction limit reached!
% 0.17/0.50  % (8409)------------------------------
% 0.17/0.50  % (8409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (8409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (8409)Termination reason: Unknown
% 0.17/0.50  % (8409)Termination phase: Unused predicate definition removal
% 0.17/0.50  
% 0.17/0.50  % (8409)Memory used [KB]: 1023
% 0.17/0.50  % (8409)Time elapsed: 0.004 s
% 0.17/0.50  % (8409)Instructions burned: 2 (million)
% 0.17/0.50  % (8409)------------------------------
% 0.17/0.50  % (8409)------------------------------
% 0.17/0.51  % (8406)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51  % (8405)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.51  % (8404)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (8416)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.52  % (8414)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52  % (8422)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.52  % (8419)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53  % (8401)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.53  % (8418)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.53  % (8407)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54  % (8408)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.54  % (8411)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54  % (8430)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.54  % (8413)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.54  % (8425)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.54  % (8420)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55  % (8421)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.55  % (8410)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.55  % (8415)First to succeed.
% 0.17/0.55  % (8429)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.55  % (8423)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.55  % (8428)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.56  TRYING [1]
% 0.17/0.56  % (8427)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.56  % (8412)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.56  TRYING [2]
% 0.17/0.56  TRYING [1]
% 0.17/0.56  TRYING [1]
% 0.17/0.56  TRYING [2]
% 0.17/0.56  TRYING [2]
% 0.17/0.56  % (8415)Refutation found. Thanks to Tanya!
% 0.17/0.56  % SZS status Theorem for theBenchmark
% 0.17/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56  % (8415)------------------------------
% 0.17/0.56  % (8415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56  % (8415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56  % (8415)Termination reason: Refutation
% 0.17/0.56  
% 0.17/0.56  % (8415)Memory used [KB]: 6652
% 0.17/0.56  % (8415)Time elapsed: 0.065 s
% 0.17/0.56  % (8415)Instructions burned: 47 (million)
% 0.17/0.56  % (8415)------------------------------
% 0.17/0.56  % (8415)------------------------------
% 0.17/0.56  % (8400)Success in time 0.234 s
%------------------------------------------------------------------------------