TSTP Solution File: GRP640+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP640+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 02:30:56 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   56 (  11 unt;   0 def)
%            Number of atoms       :  471 (  53 equ)
%            Maximal formula atoms :   32 (   8 avg)
%            Number of connectives :  635 ( 220   ~; 205   |; 179   &)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-4 aty)
%            Number of variables   :  126 (  78   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f257,plain,
    $false,
    inference(subsumption_resolution,[],[f256,f133]) ).

fof(f133,plain,
    m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
    & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
    & m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
    & m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
    & v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
    & v1_funct_1(sK4)
    & m1_group_2(sK3,sK0)
    & m1_group_2(sK2,sK0)
    & l1_group_1(sK1)
    & v4_group_1(sK1)
    & v3_group_1(sK1)
    & ~ v3_struct_0(sK1)
    & l1_group_1(sK0)
    & v4_group_1(sK0)
    & v3_group_1(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f67,f98,f97,f96,f95,f94,f93]) ).

fof(f93,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
                            & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                            & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
                        & m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
                        & v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
                        & v1_funct_1(X4) )
                    & m1_group_2(X3,X0) )
                & m1_group_2(X2,X0) )
            & 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) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
                          & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                          & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
                      & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
                      & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
                      & v1_funct_1(X4) )
                  & m1_group_2(X3,sK0) )
              & m1_group_2(X2,sK0) )
          & l1_group_1(X1)
          & v4_group_1(X1)
          & v3_group_1(X1)
          & ~ v3_struct_0(X1) )
      & l1_group_1(sK0)
      & v4_group_1(sK0)
      & v3_group_1(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
                        & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                        & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
                    & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
                    & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
                    & v1_funct_1(X4) )
                & m1_group_2(X3,sK0) )
            & m1_group_2(X2,sK0) )
        & l1_group_1(X1)
        & v4_group_1(X1)
        & v3_group_1(X1)
        & ~ v3_struct_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
                      & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                      & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
                  & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
                  & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
                  & v1_funct_1(X4) )
              & m1_group_2(X3,sK0) )
          & m1_group_2(X2,sK0) )
      & l1_group_1(sK1)
      & v4_group_1(sK1)
      & v3_group_1(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
                    & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                    & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
                & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
                & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
                & v1_funct_1(X4) )
            & m1_group_2(X3,sK0) )
        & m1_group_2(X2,sK0) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
                  & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
                  & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
              & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
              & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
              & v1_funct_1(X4) )
          & m1_group_2(X3,sK0) )
      & m1_group_2(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
                & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
                & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
            & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
            & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
            & v1_funct_1(X4) )
        & m1_group_2(X3,sK0) )
   => ( ? [X4] :
          ( ? [X5] :
              ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
              & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
              & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
          & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
          & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
          & v1_funct_1(X4) )
      & m1_group_2(sK3,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
            & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
            & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
        & m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
        & v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
        & v1_funct_1(X4) )
   => ( ? [X5] :
          ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
          & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
          & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
      & m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
      & v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
      & v1_funct_1(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( ? [X5] :
        ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
        & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
        & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
   => ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
      & k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
      & m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
                          & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                          & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
                      & m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
                      & v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
                      & v1_funct_1(X4) )
                  & m1_group_2(X3,X0) )
              & m1_group_2(X2,X0) )
          & 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,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
                          & k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                          & m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
                      & m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
                      & v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
                      & v1_funct_1(X4) )
                  & m1_group_2(X3,X0) )
              & m1_group_2(X2,X0) )
          & 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,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [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] :
                ( m1_group_2(X2,X0)
               => ! [X3] :
                    ( m1_group_2(X3,X0)
                   => ! [X4] :
                        ( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
                          & v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
                          & v1_funct_1(X4) )
                       => ! [X5] :
                            ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
                           => ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                             => k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [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] :
              ( m1_group_2(X2,X0)
             => ! [X3] :
                  ( m1_group_2(X3,X0)
                 => ! [X4] :
                      ( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
                        & v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
                        & v1_funct_1(X4) )
                     => ! [X5] :
                          ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
                         => ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
                           => k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940',t13_latsubgr) ).

fof(f256,plain,
    ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(subsumption_resolution,[],[f255,f120]) ).

fof(f120,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f255,plain,
    ( v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f254,f121]) ).

fof(f121,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f254,plain,
    ( ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f253,f122]) ).

fof(f122,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f253,plain,
    ( ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f252,f123]) ).

fof(f123,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f252,plain,
    ( ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f251,f128]) ).

fof(f128,plain,
    m1_group_2(sK2,sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f251,plain,
    ( ~ m1_group_2(sK2,sK0)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f249,f129]) ).

fof(f129,plain,
    m1_group_2(sK3,sK0),
    inference(cnf_transformation,[],[f99]) ).

fof(f249,plain,
    ( ~ m1_group_2(sK3,sK0)
    | ~ m1_group_2(sK2,sK0)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(trivial_inequality_removal,[],[f243]) ).

fof(f243,plain,
    ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
    | ~ m1_group_2(sK3,sK0)
    | ~ m1_group_2(sK2,sK0)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(superposition,[],[f135,f241]) ).

fof(f241,plain,
    ! [X0] :
      ( k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(subsumption_resolution,[],[f240,f151]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( v1_group_1(k8_group_4(X0,X1,X2))
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
        & v1_group_1(k8_group_4(X0,X1,X2)) )
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
        & v1_group_1(k8_group_4(X0,X1,X2)) )
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1,X2] :
      ( ( m1_group_2(X2,X0)
        & m1_group_2(X1,X0)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( m1_group_2(k8_group_4(X0,X1,X2),X0)
        & v1_group_1(k8_group_4(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940',dt_k8_group_4) ).

fof(f240,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
    inference(subsumption_resolution,[],[f239,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( m1_group_2(k8_group_4(X0,X1,X2),X0)
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
      | ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
    inference(subsumption_resolution,[],[f238,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_group_1(k5_group_4(X0,X1))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( m1_group_2(k5_group_4(X0,X1),X0)
        & v1_group_1(k5_group_4(X0,X1)) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( m1_group_2(k5_group_4(X0,X1),X0)
        & v1_group_1(k5_group_4(X0,X1)) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( m1_group_2(k5_group_4(X0,X1),X0)
        & v1_group_1(k5_group_4(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940',dt_k5_group_4) ).

fof(f238,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ v1_group_1(k5_group_4(X0,sK5))
      | ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
      | ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
    inference(subsumption_resolution,[],[f237,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | m1_group_2(k5_group_4(X0,X1),X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ m1_group_2(k5_group_4(X0,sK5),X0)
      | ~ v1_group_1(k5_group_4(X0,sK5))
      | ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
      | ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0)
      | k8_group_4(X0,sK2,sK3) = k5_group_4(X0,sK5)
      | ~ m1_group_2(k5_group_4(X0,sK5),X0)
      | ~ v1_group_1(k5_group_4(X0,sK5))
      | ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
      | ~ v1_group_1(k8_group_4(X0,sK2,sK3))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(resolution,[],[f219,f164]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ r1_group_2(X0,X1,X2)
      | X1 = X2
      | ~ m1_group_2(X2,X0)
      | ~ v1_group_1(X2)
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( ( r1_group_2(X0,X1,X2)
          | X1 != X2 )
        & ( X1 = X2
          | ~ r1_group_2(X0,X1,X2) ) )
      | ~ m1_group_2(X2,X0)
      | ~ v1_group_1(X2)
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ( r1_group_2(X0,X1,X2)
      <=> X1 = X2 )
      | ~ m1_group_2(X2,X0)
      | ~ v1_group_1(X2)
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ( r1_group_2(X0,X1,X2)
      <=> X1 = X2 )
      | ~ m1_group_2(X2,X0)
      | ~ v1_group_1(X2)
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0,X1,X2] :
      ( ( m1_group_2(X2,X0)
        & v1_group_1(X2)
        & m1_group_2(X1,X0)
        & v1_group_1(X1)
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( r1_group_2(X0,X1,X2)
      <=> X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940',redefinition_r1_group_2) ).

fof(f219,plain,
    ! [X0] :
      ( r1_group_2(X0,k8_group_4(X0,sK2,sK3),k5_group_4(X0,sK5))
      | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(sK3,X0)
      | ~ m1_group_2(sK2,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(superposition,[],[f170,f134]) ).

fof(f134,plain,
    k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5,
    inference(cnf_transformation,[],[f99]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
      | ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f150]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1] :
      ( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
      | k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
      | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
                  | k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
                  | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
              | ~ m1_group_2(X2,X0) )
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
                  | k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
                  | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
              | ~ m1_group_2(X2,X0) )
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                 => ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = X3
                   => r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940',t4_latsubgr) ).

fof(f135,plain,
    k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))),
    inference(cnf_transformation,[],[f99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP640+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n024.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 18:23:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940
% 0.55/0.74  % (24186)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 (2996ds/83Mi)
% 0.55/0.74  % (24180)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 (2996ds/34Mi)
% 0.55/0.74  % (24181)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 (2996ds/51Mi)
% 0.55/0.74  % (24183)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74  % (24184)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 (2996ds/34Mi)
% 0.55/0.74  % (24185)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (24187)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 (2996ds/56Mi)
% 0.55/0.75  % (24182)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (24185)First to succeed.
% 0.55/0.75  % (24184)Refutation not found, incomplete strategy% (24184)------------------------------
% 0.55/0.75  % (24184)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (24184)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (24184)Memory used [KB]: 1196
% 0.55/0.75  % (24184)Time elapsed: 0.009 s
% 0.55/0.75  % (24184)Instructions burned: 12 (million)
% 0.55/0.75  % (24184)------------------------------
% 0.55/0.75  % (24184)------------------------------
% 0.55/0.75  % (24185)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (24185)------------------------------
% 0.55/0.75  % (24185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (24185)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (24185)Memory used [KB]: 1152
% 0.55/0.75  % (24185)Time elapsed: 0.007 s
% 0.55/0.75  % (24185)Instructions burned: 11 (million)
% 0.55/0.75  % (24185)------------------------------
% 0.55/0.75  % (24185)------------------------------
% 0.55/0.75  % (24176)Success in time 0.377 s
% 0.55/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.75  24176 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.g5fobf1wCu/Vampire---4.8_23940
% 0.55/0.75  % (24176)------------------------------
% 0.55/0.75  % (24176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (24176)Termination reason: Unknown
% 0.55/0.75  % (24176)Termination phase: Unknown
% 0.55/0.75  
% 0.55/0.75  % (24176)Memory used [KB]: 468
% 0.55/0.75  % (24176)Time elapsed: 0.377 s
% 0.55/0.75  % (24176)Instructions burned: 956 (million)
% 0.55/0.75  % (24176)------------------------------
% 0.55/0.75  % (24176)------------------------------
% 0.55/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  ???
% 0.55/0.75   ???
% 0.55/0.75    ???
% 0.55/0.75     ???
% 0.55/0.75      ???
% 0.55/0.75       ???
% 0.55/0.75        ???
% 0.55/0.75         ???
% 0.55/0.75          ???
% 0.55/0.75           ???
% 0.55/0.75            ???
% 0.55/0.75             ???
% 0.55/0.75              ???
% 0.55/0.75               ???
% 0.55/0.75                ???
% 0.55/0.75                 ???
% 0.55/0.75                  ???
% 0.55/0.75                   ???
% 0.55/0.75                    ???
% 0.55/0.75                     ???
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------