TSTP Solution File: GRP628+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP628+1 : TPTP v8.1.2. 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 : n011.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 May  1 02:30:38 EDT 2024

% Result   : Theorem 0.61s 0.87s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   68 (  22 unt;   0 def)
%            Number of atoms       :  341 (  44 equ)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  443 ( 170   ~; 182   |;  66   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   78 (  72   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(subsumption_resolution,[],[f525,f249]) ).

fof(f249,plain,
    k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK2),
    inference(definition_unfolding,[],[f150,f149]) ).

fof(f149,plain,
    sK1 = sK2,
    inference(cnf_transformation,[],[f86]) ).

fof(f86,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)) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & v1_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,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)) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & v1_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,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),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] :
      ( ( 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),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/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',t22_autgroup) ).

fof(f150,plain,
    k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK2),
    inference(cnf_transformation,[],[f86]) ).

fof(f525,plain,
    k3_group_1(k5_autgroup(sK0),sK2) = k2_funct_1(sK2),
    inference(forward_demodulation,[],[f524,f490]) ).

fof(f490,plain,
    k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2),
    inference(subsumption_resolution,[],[f489,f426]) ).

fof(f426,plain,
    m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0))),
    inference(unit_resulting_resolution,[],[f264,f260,f262,f148,f256,f158]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ v3_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,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) )
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,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) )
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(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/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',t51_group_2) ).

fof(f256,plain,
    m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_1(k5_autgroup(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_1(k5_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,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_1(k5_autgroup(X0)) ) ),
    inference(pure_predicate_removal,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & v1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
        & v1_group_1(k5_autgroup(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',dt_k5_autgroup) ).

fof(f156,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f154,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f155,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f153,plain,
    v1_group_1(sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f152,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f86]) ).

fof(f148,plain,
    m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))),
    inference(cnf_transformation,[],[f86]) ).

fof(f262,plain,
    v3_group_1(k3_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f193]) ).

fof(f193,plain,
    ! [X0] :
      ( v3_group_1(k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( l1_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v3_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(k3_autgroup(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( l1_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v3_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(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) )
     => ( l1_group_1(k3_autgroup(X0))
        & v4_group_1(k3_autgroup(X0))
        & v3_group_1(k3_autgroup(X0))
        & v1_group_1(k3_autgroup(X0))
        & ~ v3_struct_0(k3_autgroup(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',dt_k3_autgroup) ).

fof(f260,plain,
    ~ v3_struct_0(k3_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ v3_struct_0(k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f264,plain,
    l1_group_1(k3_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( l1_group_1(k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f489,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f488,f152]) ).

fof(f488,plain,
    ( v3_struct_0(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f487,f156]) ).

fof(f487,plain,
    ( ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f486,f155]) ).

fof(f486,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f485,f154]) ).

fof(f485,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f480,f153]) ).

fof(f480,plain,
    ( ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(resolution,[],[f305,f250]) ).

fof(f250,plain,
    ! [X2,X0] :
      ( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(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,[],[f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
      | X1 != X2
      | k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,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))
         => ! [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/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',t11_autgroup) ).

fof(f305,plain,
    m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f156,f155,f154,f248,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,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),k4_autgroup(X0))
         => m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',t13_autgroup) ).

fof(f248,plain,
    m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
    inference(definition_unfolding,[],[f151,f149]) ).

fof(f151,plain,
    m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
    inference(cnf_transformation,[],[f86]) ).

fof(f524,plain,
    k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2),
    inference(subsumption_resolution,[],[f523,f260]) ).

fof(f523,plain,
    ( v3_struct_0(k3_autgroup(sK0))
    | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f522,f262]) ).

fof(f522,plain,
    ( ~ v3_group_1(k3_autgroup(sK0))
    | v3_struct_0(k3_autgroup(sK0))
    | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f521,f426]) ).

fof(f521,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | ~ v3_group_1(k3_autgroup(sK0))
    | v3_struct_0(k3_autgroup(sK0))
    | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f520,f264]) ).

fof(f520,plain,
    ( ~ l1_group_1(k3_autgroup(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | ~ v3_group_1(k3_autgroup(sK0))
    | v3_struct_0(k3_autgroup(sK0))
    | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(subsumption_resolution,[],[f518,f263]) ).

fof(f263,plain,
    v4_group_1(k3_autgroup(sK0)),
    inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( v4_group_1(k3_autgroup(X0))
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f518,plain,
    ( ~ v4_group_1(k3_autgroup(sK0))
    | ~ l1_group_1(k3_autgroup(sK0))
    | ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
    | ~ v3_group_1(k3_autgroup(sK0))
    | v3_struct_0(k3_autgroup(sK0))
    | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
    inference(resolution,[],[f301,f256]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ m1_group_2(k5_autgroup(sK0),X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(sK2,u1_struct_0(X0))
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(X0,sK2) ),
    inference(resolution,[],[f148,f251]) ).

fof(f251,plain,
    ! [X2,X3,X0] :
      ( ~ m1_subset_1(X3,u1_struct_0(X2))
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_group_2(X2,X0)
      | v3_struct_0(X0)
      | k3_group_1(X2,X3) = k3_group_1(X0,X3) ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1] :
      ( v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_group_2(X2,X0)
      | ~ m1_subset_1(X3,u1_struct_0(X2))
      | X1 != X3
      | k3_group_1(X0,X1) = k3_group_1(X2,X3) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,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)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_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/sandbox2/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107',t57_group_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:27:47 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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/tmp/tmp.OgnIN8OY1K/Vampire---4.8_2107
% 0.61/0.85  % (2348)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.85  % (2350)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.85  % (2349)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 Vampire---4 for (2995ds/51Mi)
% 0.61/0.85  % (2351)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.85  % (2352)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.85  % (2353)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.85  % (2354)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 Vampire---4 for (2995ds/83Mi)
% 0.61/0.85  % (2355)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.85  % (2353)Refutation not found, incomplete strategy% (2353)------------------------------
% 0.61/0.85  % (2353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (2353)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (2353)Memory used [KB]: 1154
% 0.61/0.85  % (2353)Time elapsed: 0.005 s
% 0.61/0.85  % (2353)Instructions burned: 6 (million)
% 0.61/0.85  % (2353)------------------------------
% 0.61/0.85  % (2353)------------------------------
% 0.61/0.85  % (2355)Refutation not found, incomplete strategy% (2355)------------------------------
% 0.61/0.85  % (2355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (2355)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (2355)Memory used [KB]: 1129
% 0.61/0.85  % (2355)Time elapsed: 0.005 s
% 0.61/0.85  % (2355)Instructions burned: 5 (million)
% 0.61/0.85  % (2355)------------------------------
% 0.61/0.85  % (2355)------------------------------
% 0.61/0.86  % (2356)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 Vampire---4 for (2995ds/55Mi)
% 0.61/0.86  % (2358)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 Vampire---4 for (2995ds/50Mi)
% 0.61/0.86  % (2351)Instruction limit reached!
% 0.61/0.86  % (2351)------------------------------
% 0.61/0.86  % (2351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.86  % (2351)Termination reason: Unknown
% 0.61/0.86  % (2351)Termination phase: Saturation
% 0.61/0.86  
% 0.61/0.86  % (2351)Memory used [KB]: 1372
% 0.61/0.86  % (2351)Time elapsed: 0.018 s
% 0.61/0.86  % (2351)Instructions burned: 34 (million)
% 0.61/0.86  % (2351)------------------------------
% 0.61/0.86  % (2351)------------------------------
% 0.61/0.86  % (2354)First to succeed.
% 0.61/0.87  % (2354)Refutation found. Thanks to Tanya!
% 0.61/0.87  % SZS status Theorem for Vampire---4
% 0.61/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.87  % (2354)------------------------------
% 0.61/0.87  % (2354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.87  % (2354)Termination reason: Refutation
% 0.61/0.87  
% 0.61/0.87  % (2354)Memory used [KB]: 1326
% 0.61/0.87  % (2354)Time elapsed: 0.019 s
% 0.61/0.87  % (2354)Instructions burned: 33 (million)
% 0.61/0.87  % (2354)------------------------------
% 0.61/0.87  % (2354)------------------------------
% 0.61/0.87  % (2295)Success in time 0.502 s
% 0.61/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------