TSTP Solution File: GRP644+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GRP644+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 11:01:52 EST 2010

% Result   : Theorem 113.17s
% Output   : CNFRefutation 113.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   68 (  14 unt;   0 def)
%            Number of atoms       :  427 (   0 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :  558 ( 199   ~; 267   |;  62   &)
%                                         (   2 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  50   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(579,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_group_2(X3,X1)
             => ( r1_rlvect_1(X3,X2)
               => r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
    file('/tmp/tmpPE7Gn2/sel_GRP644+4.p_2',t60_group_2) ).

fof(6993,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
    file('/tmp/tmpPE7Gn2/sel_GRP644+4.p_2',dt_k3_group_1) ).

fof(8193,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
               => r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
    file('/tmp/tmpPE7Gn2/sel_GRP644+4.p_2',t22_latsubgr) ).

fof(8200,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
              <=> r1_rlvect_1(X2,X3) ) ) ) ),
    file('/tmp/tmpPE7Gn2/sel_GRP644+4.p_2',t18_latsubgr) ).

fof(8210,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( v1_group_1(X2)
              & m1_group_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
                 => r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
    inference(assume_negation,[status(cth)],[8193]) ).

fof(8285,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_group_2(X3,X1)
             => ( r1_rlvect_1(X3,X2)
               => r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[579,theory(equality)]) ).

fof(9275,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[6993,theory(equality)]) ).

fof(9453,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( v1_group_1(X2)
              & m1_group_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
                 => r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[8210,theory(equality)]) ).

fof(9459,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
              <=> r1_rlvect_1(X2,X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[8200,theory(equality)]) ).

fof(10961,plain,
    ! [X1] :
      ( v3_struct_0(X1)
      | ~ v3_group_1(X1)
      | ~ v4_group_1(X1)
      | ~ l1_group_1(X1)
      | ! [X2] :
          ( ~ m1_subset_1(X2,u1_struct_0(X1))
          | ! [X3] :
              ( ~ m1_group_2(X3,X1)
              | ~ r1_rlvect_1(X3,X2)
              | r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ),
    inference(fof_nnf,[status(thm)],[8285]) ).

fof(10962,plain,
    ! [X4] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | ! [X5] :
          ( ~ m1_subset_1(X5,u1_struct_0(X4))
          | ! [X6] :
              ( ~ m1_group_2(X6,X4)
              | ~ r1_rlvect_1(X6,X5)
              | r1_rlvect_1(X6,k3_group_1(X4,X5)) ) ) ),
    inference(variable_rename,[status(thm)],[10961]) ).

fof(10963,plain,
    ! [X4,X5,X6] :
      ( ~ m1_group_2(X6,X4)
      | ~ r1_rlvect_1(X6,X5)
      | r1_rlvect_1(X6,k3_group_1(X4,X5))
      | ~ m1_subset_1(X5,u1_struct_0(X4))
      | v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4) ),
    inference(shift_quantors,[status(thm)],[10962]) ).

cnf(10964,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X3,k3_group_1(X1,X2))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r1_rlvect_1(X3,X2)
    | ~ m1_group_2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[10963]) ).

fof(28525,plain,
    ! [X1,X2] :
      ( v3_struct_0(X1)
      | ~ v3_group_1(X1)
      | ~ v4_group_1(X1)
      | ~ l1_group_1(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
    inference(fof_nnf,[status(thm)],[9275]) ).

fof(28526,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v3_group_1(X3)
      | ~ v4_group_1(X3)
      | ~ l1_group_1(X3)
      | ~ m1_subset_1(X4,u1_struct_0(X3))
      | m1_subset_1(k3_group_1(X3,X4),u1_struct_0(X3)) ),
    inference(variable_rename,[status(thm)],[28525]) ).

cnf(28527,plain,
    ( m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[28526]) ).

fof(31872,negated_conjecture,
    ? [X1] :
      ( ~ v3_struct_0(X1)
      & v3_group_1(X1)
      & v4_group_1(X1)
      & l1_group_1(X1)
      & ? [X2] :
          ( v1_group_1(X2)
          & m1_group_2(X2,X1)
          & ? [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
              & r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
              & ~ r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ),
    inference(fof_nnf,[status(thm)],[9453]) ).

fof(31873,negated_conjecture,
    ? [X4] :
      ( ~ v3_struct_0(X4)
      & v3_group_1(X4)
      & v4_group_1(X4)
      & l1_group_1(X4)
      & ? [X5] :
          ( v1_group_1(X5)
          & m1_group_2(X5,X4)
          & ? [X6] :
              ( m1_subset_1(X6,u1_struct_0(X4))
              & r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
              & ~ r2_hidden(k3_group_1(X4,X6),k1_funct_1(k1_latsubgr(X4),X5)) ) ) ),
    inference(variable_rename,[status(thm)],[31872]) ).

fof(31874,negated_conjecture,
    ( ~ v3_struct_0(esk999_0)
    & v3_group_1(esk999_0)
    & v4_group_1(esk999_0)
    & l1_group_1(esk999_0)
    & v1_group_1(esk1000_0)
    & m1_group_2(esk1000_0,esk999_0)
    & m1_subset_1(esk1001_0,u1_struct_0(esk999_0))
    & r2_hidden(esk1001_0,k1_funct_1(k1_latsubgr(esk999_0),esk1000_0))
    & ~ r2_hidden(k3_group_1(esk999_0,esk1001_0),k1_funct_1(k1_latsubgr(esk999_0),esk1000_0)) ),
    inference(skolemize,[status(esa)],[31873]) ).

cnf(31875,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk999_0,esk1001_0),k1_funct_1(k1_latsubgr(esk999_0),esk1000_0)),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31876,negated_conjecture,
    r2_hidden(esk1001_0,k1_funct_1(k1_latsubgr(esk999_0),esk1000_0)),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31877,negated_conjecture,
    m1_subset_1(esk1001_0,u1_struct_0(esk999_0)),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31878,negated_conjecture,
    m1_group_2(esk1000_0,esk999_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31879,negated_conjecture,
    v1_group_1(esk1000_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31880,negated_conjecture,
    l1_group_1(esk999_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31881,negated_conjecture,
    v4_group_1(esk999_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31882,negated_conjecture,
    v3_group_1(esk999_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

cnf(31883,negated_conjecture,
    ~ v3_struct_0(esk999_0),
    inference(split_conjunct,[status(thm)],[31874]) ).

fof(31905,plain,
    ! [X1] :
      ( v3_struct_0(X1)
      | ~ v3_group_1(X1)
      | ~ v4_group_1(X1)
      | ~ l1_group_1(X1)
      | ! [X2] :
          ( ~ v1_group_1(X2)
          | ~ m1_group_2(X2,X1)
          | ! [X3] :
              ( ~ m1_subset_1(X3,u1_struct_0(X1))
              | ( ( ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
                  | r1_rlvect_1(X2,X3) )
                & ( ~ r1_rlvect_1(X2,X3)
                  | r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[9459]) ).

fof(31906,plain,
    ! [X4] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | ! [X5] :
          ( ~ v1_group_1(X5)
          | ~ m1_group_2(X5,X4)
          | ! [X6] :
              ( ~ m1_subset_1(X6,u1_struct_0(X4))
              | ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
                  | r1_rlvect_1(X5,X6) )
                & ( ~ r1_rlvect_1(X5,X6)
                  | r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[31905]) ).

fof(31907,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X6,u1_struct_0(X4))
      | ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
          | r1_rlvect_1(X5,X6) )
        & ( ~ r1_rlvect_1(X5,X6)
          | r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) )
      | ~ v1_group_1(X5)
      | ~ m1_group_2(X5,X4)
      | v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4) ),
    inference(shift_quantors,[status(thm)],[31906]) ).

fof(31908,plain,
    ! [X4,X5,X6] :
      ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
        | r1_rlvect_1(X5,X6)
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ v1_group_1(X5)
        | ~ m1_group_2(X5,X4)
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4) )
      & ( ~ r1_rlvect_1(X5,X6)
        | r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ v1_group_1(X5)
        | ~ m1_group_2(X5,X4)
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4) ) ),
    inference(distribute,[status(thm)],[31907]) ).

cnf(31909,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_1(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r1_rlvect_1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[31908]) ).

cnf(31910,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_1(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    inference(split_conjunct,[status(thm)],[31908]) ).

cnf(102334,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | ~ v1_group_1(esk1000_0)
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(spm,[status(thm)],[31910,31876,theory(equality)]) ).

cnf(102448,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[102334,31879,theory(equality)]) ).

cnf(102449,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | $false
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[102448,31878,theory(equality)]) ).

cnf(102450,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[102449,31880,theory(equality)]) ).

cnf(102451,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | $false
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[102450,31881,theory(equality)]) ).

cnf(102452,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[102451,31882,theory(equality)]) ).

cnf(102453,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[102452,31877,theory(equality)]) ).

cnf(102454,negated_conjecture,
    ( r1_rlvect_1(esk1000_0,esk1001_0)
    | v3_struct_0(esk999_0) ),
    inference(cn,[status(thm)],[102453,theory(equality)]) ).

cnf(102455,negated_conjecture,
    r1_rlvect_1(esk1000_0,esk1001_0),
    inference(sr,[status(thm)],[102454,31883,theory(equality)]) ).

cnf(103115,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ v1_group_1(esk1000_0)
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(spm,[status(thm)],[31875,31909,theory(equality)]) ).

cnf(103196,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[103115,31879,theory(equality)]) ).

cnf(103197,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | $false
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[103196,31878,theory(equality)]) ).

cnf(103198,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | $false
    | $false
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[103197,31880,theory(equality)]) ).

cnf(103199,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | $false
    | $false
    | $false
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[103198,31881,theory(equality)]) ).

cnf(103200,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | $false
    | $false
    | $false
    | $false
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[103199,31882,theory(equality)]) ).

cnf(103201,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(cn,[status(thm)],[103200,theory(equality)]) ).

cnf(103202,negated_conjecture,
    ( ~ r1_rlvect_1(esk1000_0,k3_group_1(esk999_0,esk1001_0))
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(sr,[status(thm)],[103201,31883,theory(equality)]) ).

cnf(423827,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | ~ r1_rlvect_1(esk1000_0,esk1001_0)
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(spm,[status(thm)],[103202,10964,theory(equality)]) ).

cnf(423829,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | ~ m1_group_2(esk1000_0,esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423827,102455,theory(equality)]) ).

cnf(423830,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | $false
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423829,31878,theory(equality)]) ).

cnf(423831,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | $false
    | $false
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423830,31880,theory(equality)]) ).

cnf(423832,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | $false
    | $false
    | $false
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423831,31881,theory(equality)]) ).

cnf(423833,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | $false
    | $false
    | $false
    | $false
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423832,31882,theory(equality)]) ).

cnf(423834,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[423833,31877,theory(equality)]) ).

cnf(423835,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)) ),
    inference(cn,[status(thm)],[423834,theory(equality)]) ).

cnf(423836,negated_conjecture,
    ~ m1_subset_1(k3_group_1(esk999_0,esk1001_0),u1_struct_0(esk999_0)),
    inference(sr,[status(thm)],[423835,31883,theory(equality)]) ).

cnf(423837,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | ~ l1_group_1(esk999_0)
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(spm,[status(thm)],[423836,28527,theory(equality)]) ).

cnf(423842,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | ~ v4_group_1(esk999_0)
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423837,31880,theory(equality)]) ).

cnf(423843,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | $false
    | ~ v3_group_1(esk999_0)
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423842,31881,theory(equality)]) ).

cnf(423844,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | ~ m1_subset_1(esk1001_0,u1_struct_0(esk999_0)) ),
    inference(rw,[status(thm)],[423843,31882,theory(equality)]) ).

cnf(423845,negated_conjecture,
    ( v3_struct_0(esk999_0)
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[423844,31877,theory(equality)]) ).

cnf(423846,negated_conjecture,
    v3_struct_0(esk999_0),
    inference(cn,[status(thm)],[423845,theory(equality)]) ).

cnf(423847,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[423846,31883,theory(equality)]) ).

cnf(423848,negated_conjecture,
    $false,
    423847,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP644+4.p
% --creating new selector for [SET007+4.ax, SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+6.ax, SET007+5.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+12.ax, SET007+13.ax, SET007+14.ax, SET007+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+27.ax, SET007+28.ax, SET007+29.ax, SET007+30.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+36.ax, SET007+37.ax, SET007+38.ax, SET007+39.ax, SET007+40.ax, SET007+41.ax, SET007+42.ax, SET007+43.ax, SET007+44.ax, SET007+45.ax, SET007+46.ax, SET007+47.ax, SET007+48.ax, SET007+49.ax, SET007+50.ax, SET007+51.ax, SET007+52.ax, SET007+53.ax, SET007+54.ax, SET007+55.ax, SET007+56.ax, SET007+57.ax, SET007+58.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+62.ax, SET007+63.ax, SET007+64.ax, SET007+65.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+69.ax, SET007+70.ax, SET007+71.ax, SET007+72.ax, SET007+73.ax, SET007+74.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+78.ax, SET007+79.ax, SET007+80.ax, SET007+81.ax, SET007+82.ax, SET007+83.ax, SET007+84.ax, SET007+85.ax, SET007+86.ax, SET007+87.ax, SET007+88.ax, SET007+89.ax, SET007+90.ax, SET007+91.ax, SET007+92.ax, SET007+93.ax, SET007+94.ax, SET007+95.ax, SET007+96.ax, SET007+97.ax, SET007+98.ax, SET007+99.ax, SET007+100.ax, SET007+101.ax, SET007+102.ax, SET007+103.ax, SET007+104.ax, SET007+105.ax, SET007+106.ax, SET007+107.ax, SET007+108.ax, SET007+109.ax, SET007+110.ax, SET007+111.ax, SET007+112.ax, SET007+113.ax, SET007+114.ax, SET007+115.ax, SET007+116.ax, SET007+117.ax, SET007+118.ax, SET007+119.ax, SET007+120.ax, SET007+121.ax, SET007+122.ax, SET007+123.ax, SET007+124.ax, SET007+125.ax, SET007+126.ax, SET007+127.ax, SET007+128.ax, SET007+129.ax, SET007+130.ax, SET007+131.ax, SET007+132.ax, SET007+133.ax, SET007+134.ax, SET007+135.ax, SET007+136.ax, SET007+137.ax, SET007+138.ax, SET007+139.ax, SET007+140.ax, SET007+141.ax, SET007+142.ax, SET007+143.ax, SET007+144.ax, SET007+145.ax, SET007+146.ax, SET007+147.ax, SET007+148.ax, SET007+149.ax, SET007+150.ax, SET007+151.ax, SET007+152.ax, SET007+153.ax, SET007+154.ax, SET007+155.ax, SET007+156.ax, SET007+157.ax, SET007+158.ax, SET007+159.ax, SET007+160.ax, SET007+161.ax, SET007+162.ax, SET007+163.ax, SET007+164.ax, SET007+165.ax, SET007+166.ax, SET007+167.ax, SET007+168.ax, SET007+169.ax, SET007+170.ax, SET007+171.ax, SET007+172.ax, SET007+173.ax, SET007+174.ax, SET007+175.ax, SET007+176.ax, SET007+177.ax, SET007+178.ax, SET007+179.ax, SET007+180.ax, SET007+181.ax, SET007+182.ax, SET007+183.ax, SET007+184.ax, SET007+185.ax, SET007+186.ax, SET007+187.ax, SET007+188.ax, SET007+189.ax, SET007+190.ax, SET007+191.ax, SET007+192.ax, SET007+193.ax, SET007+194.ax, SET007+195.ax, SET007+196.ax, SET007+197.ax, SET007+198.ax, SET007+199.ax, SET007+200.ax, SET007+201.ax, SET007+202.ax, SET007+203.ax, SET007+204.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+208.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+214.ax, SET007+215.ax, SET007+216.ax, SET007+217.ax, SET007+218.ax, SET007+219.ax, SET007+220.ax, SET007+221.ax, SET007+222.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+226.ax, SET007+227.ax, SET007+228.ax, SET007+229.ax, SET007+230.ax, SET007+231.ax, SET007+232.ax, SET007+233.ax, SET007+234.ax, SET007+235.ax, SET007+236.ax, SET007+237.ax, SET007+238.ax, SET007+239.ax, SET007+240.ax, SET007+241.ax, SET007+242.ax, SET007+243.ax, SET007+244.ax, SET007+245.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+249.ax, SET007+250.ax, SET007+251.ax, SET007+252.ax, SET007+253.ax, SET007+254.ax, SET007+255.ax, SET007+256.ax, SET007+257.ax, SET007+258.ax, SET007+259.ax, SET007+260.ax, SET007+261.ax, SET007+262.ax, SET007+263.ax, SET007+264.ax, SET007+265.ax, SET007+266.ax, SET007+267.ax, SET007+268.ax, SET007+269.ax, SET007+270.ax, SET007+271.ax, SET007+272.ax, SET007+273.ax, SET007+274.ax, SET007+275.ax, SET007+276.ax, SET007+277.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax, SET007+281.ax, SET007+282.ax, SET007+283.ax, SET007+284.ax, SET007+285.ax, SET007+286.ax, SET007+287.ax, SET007+288.ax, SET007+289.ax, SET007+290.ax, SET007+291.ax, SET007+292.ax, SET007+293.ax, SET007+294.ax, SET007+295.ax, SET007+296.ax, SET007+297.ax, SET007+298.ax, SET007+299.ax, SET007+300.ax, SET007+301.ax, SET007+302.ax, SET007+303.ax, SET007+304.ax, SET007+305.ax, SET007+306.ax, SET007+307.ax, SET007+308.ax, SET007+309.ax, SET007+310.ax, SET007+311.ax, SET007+312.ax, SET007+313.ax, SET007+314.ax, SET007+315.ax, SET007+316.ax, SET007+317.ax, SET007+318.ax, SET007+319.ax, SET007+320.ax, SET007+321.ax, SET007+322.ax, SET007+323.ax, SET007+324.ax, SET007+325.ax, SET007+326.ax, SET007+327.ax, SET007+328.ax, SET007+329.ax, SET007+330.ax, SET007+331.ax, SET007+332.ax, SET007+333.ax, SET007+334.ax, SET007+335.ax, SET007+336.ax, SET007+337.ax, SET007+338.ax, SET007+339.ax, SET007+340.ax, SET007+341.ax, SET007+342.ax, SET007+343.ax, SET007+344.ax, SET007+345.ax, SET007+346.ax, SET007+347.ax, SET007+348.ax, SET007+349.ax, SET007+350.ax, SET007+351.ax, SET007+352.ax, SET007+353.ax, SET007+354.ax, SET007+355.ax, SET007+356.ax, SET007+357.ax, SET007+358.ax, SET007+359.ax, SET007+360.ax, SET007+361.ax, SET007+362.ax, SET007+363.ax, SET007+364.ax, SET007+365.ax, SET007+366.ax, SET007+367.ax, SET007+368.ax, SET007+369.ax, SET007+370.ax, SET007+371.ax, SET007+372.ax, SET007+373.ax, SET007+374.ax, SET007+375.ax, SET007+376.ax, SET007+377.ax, SET007+378.ax, SET007+379.ax, SET007+380.ax, SET007+381.ax, SET007+382.ax, SET007+383.ax, SET007+384.ax, SET007+385.ax, SET007+386.ax, SET007+387.ax, SET007+388.ax, SET007+389.ax, SET007+390.ax, SET007+391.ax, SET007+392.ax, SET007+393.ax, SET007+394.ax, SET007+395.ax, SET007+396.ax, SET007+397.ax, SET007+398.ax, SET007+399.ax, SET007+400.ax, SET007+401.ax, SET007+402.ax, SET007+403.ax, SET007+404.ax, SET007+405.ax, SET007+406.ax, SET007+407.ax, SET007+408.ax, SET007+409.ax, SET007+410.ax, SET007+411.ax, SET007+412.ax, SET007+413.ax, SET007+414.ax, SET007+415.ax, SET007+416.ax, SET007+417.ax, SET007+418.ax, SET007+419.ax, SET007+420.ax, SET007+421.ax, SET007+422.ax, SET007+423.ax, SET007+424.ax, SET007+425.ax, SET007+426.ax, SET007+427.ax, SET007+428.ax, SET007+429.ax, SET007+430.ax, SET007+431.ax, SET007+432.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpPE7Gn2/sel_GRP644+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpPE7Gn2/sel_GRP644+4.p_2 with time limit 78
% -prover status Theorem
% Problem GRP644+4.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP644+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP644+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------