TSTP Solution File: GRP644+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP644+2 : 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 : n008.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 : Sun May  5 05:49:54 EDT 2024

% Result   : Theorem 1.16s 1.01s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (  13 unt;   0 def)
%            Number of atoms       :  343 (   0 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  446 ( 171   ~; 179   |;  72   &)
%                                         (   5 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   59 (  44   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6643,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6564,f6597,f6628]) ).

fof(f6628,plain,
    spl71_2,
    inference(avatar_contradiction_clause,[],[f6627]) ).

fof(f6627,plain,
    ( $false
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6626,f6126]) ).

fof(f6126,plain,
    ~ v3_struct_0(sK5),
    inference(cnf_transformation,[],[f5961]) ).

fof(f5961,plain,
    ( ~ r2_hidden(k3_group_1(sK5,sK7),k1_funct_1(k1_latsubgr(sK5),sK6))
    & r2_hidden(sK7,k1_funct_1(k1_latsubgr(sK5),sK6))
    & m1_subset_1(sK7,u1_struct_0(sK5))
    & m1_group_2(sK6,sK5)
    & v1_group_1(sK6)
    & l1_group_1(sK5)
    & v4_group_1(sK5)
    & v3_group_1(sK5)
    & ~ v3_struct_0(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f5673,f5960,f5959,f5958]) ).

fof(f5958,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
                & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                & m1_subset_1(X2,u1_struct_0(X0)) )
            & 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) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(sK5,X2),k1_funct_1(k1_latsubgr(sK5),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK5),X1))
              & m1_subset_1(X2,u1_struct_0(sK5)) )
          & m1_group_2(X1,sK5)
          & v1_group_1(X1) )
      & l1_group_1(sK5)
      & v4_group_1(sK5)
      & v3_group_1(sK5)
      & ~ v3_struct_0(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f5959,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ r2_hidden(k3_group_1(sK5,X2),k1_funct_1(k1_latsubgr(sK5),X1))
            & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK5),X1))
            & m1_subset_1(X2,u1_struct_0(sK5)) )
        & m1_group_2(X1,sK5)
        & v1_group_1(X1) )
   => ( ? [X2] :
          ( ~ r2_hidden(k3_group_1(sK5,X2),k1_funct_1(k1_latsubgr(sK5),sK6))
          & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK5),sK6))
          & m1_subset_1(X2,u1_struct_0(sK5)) )
      & m1_group_2(sK6,sK5)
      & v1_group_1(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f5960,plain,
    ( ? [X2] :
        ( ~ r2_hidden(k3_group_1(sK5,X2),k1_funct_1(k1_latsubgr(sK5),sK6))
        & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK5),sK6))
        & m1_subset_1(X2,u1_struct_0(sK5)) )
   => ( ~ r2_hidden(k3_group_1(sK5,sK7),k1_funct_1(k1_latsubgr(sK5),sK6))
      & r2_hidden(sK7,k1_funct_1(k1_latsubgr(sK5),sK6))
      & m1_subset_1(sK7,u1_struct_0(sK5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5673,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & 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,[],[f5672]) ).

fof(f5672,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & 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,[],[f5662]) ).

fof(f5662,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_group_1(X0)
          & v4_group_1(X0)
          & v3_group_1(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m1_group_2(X1,X0)
              & v1_group_1(X1) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                 => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    inference(negated_conjecture,[],[f5661]) ).

fof(f5661,conjecture,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_group_2(X1,X0)
            & v1_group_1(X1) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
               => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.x25J28gVfO/Vampire---4.8_27973',t22_latsubgr) ).

fof(f6626,plain,
    ( v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6625,f6127]) ).

fof(f6127,plain,
    v3_group_1(sK5),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6625,plain,
    ( ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6624,f6128]) ).

fof(f6128,plain,
    v4_group_1(sK5),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6624,plain,
    ( ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6623,f6129]) ).

fof(f6129,plain,
    l1_group_1(sK5),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6623,plain,
    ( ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6622,f6132]) ).

fof(f6132,plain,
    m1_subset_1(sK7,u1_struct_0(sK5)),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6622,plain,
    ( ~ m1_subset_1(sK7,u1_struct_0(sK5))
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6621,f6131]) ).

fof(f6131,plain,
    m1_group_2(sK6,sK5),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6621,plain,
    ( ~ m1_group_2(sK6,sK5)
    | ~ m1_subset_1(sK7,u1_struct_0(sK5))
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(subsumption_resolution,[],[f6616,f6545]) ).

fof(f6545,plain,
    r1_rlvect_1(sK6,sK7),
    inference(subsumption_resolution,[],[f6544,f6126]) ).

fof(f6544,plain,
    ( r1_rlvect_1(sK6,sK7)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6543,f6127]) ).

fof(f6543,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6542,f6128]) ).

fof(f6542,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6541,f6129]) ).

fof(f6541,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6540,f6130]) ).

fof(f6130,plain,
    v1_group_1(sK6),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6540,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ v1_group_1(sK6)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6539,f6131]) ).

fof(f6539,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ m1_group_2(sK6,sK5)
    | ~ v1_group_1(sK6)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6533,f6132]) ).

fof(f6533,plain,
    ( r1_rlvect_1(sK6,sK7)
    | ~ m1_subset_1(sK7,u1_struct_0(sK5))
    | ~ m1_group_2(sK6,sK5)
    | ~ v1_group_1(sK6)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(resolution,[],[f6133,f6240]) ).

fof(f6240,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ 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,[],[f6014]) ).

fof(f6014,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                  | ~ r1_rlvect_1(X1,X2) )
                & ( r1_rlvect_1(X1,X2)
                  | ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ 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,[],[f5762]) ).

fof(f5762,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ 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,[],[f5761]) ).

fof(f5761,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ 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,[],[f5657]) ).

fof(f5657,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_group_2(X1,X0)
            & v1_group_1(X1) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.x25J28gVfO/Vampire---4.8_27973',t18_latsubgr) ).

fof(f6133,plain,
    r2_hidden(sK7,k1_funct_1(k1_latsubgr(sK5),sK6)),
    inference(cnf_transformation,[],[f5961]) ).

fof(f6616,plain,
    ( ~ r1_rlvect_1(sK6,sK7)
    | ~ m1_group_2(sK6,sK5)
    | ~ m1_subset_1(sK7,u1_struct_0(sK5))
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_2 ),
    inference(resolution,[],[f6563,f6201]) ).

fof(f6201,plain,
    ! [X2,X0,X1] :
      ( r1_rlvect_1(X2,k3_group_1(X0,X1))
      | ~ r1_rlvect_1(X2,X1)
      | ~ 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(cnf_transformation,[],[f5718]) ).

fof(f5718,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ 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,[],[f5717]) ).

fof(f5717,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ 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,[],[f4404]) ).

fof(f4404,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)
             => ( r1_rlvect_1(X2,X1)
               => r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.x25J28gVfO/Vampire---4.8_27973',t60_group_2) ).

fof(f6563,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | spl71_2 ),
    inference(avatar_component_clause,[],[f6561]) ).

fof(f6561,plain,
    ( spl71_2
  <=> r1_rlvect_1(sK6,k3_group_1(sK5,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl71_2])]) ).

fof(f6597,plain,
    spl71_1,
    inference(avatar_contradiction_clause,[],[f6596]) ).

fof(f6596,plain,
    ( $false
    | spl71_1 ),
    inference(subsumption_resolution,[],[f6595,f6126]) ).

fof(f6595,plain,
    ( v3_struct_0(sK5)
    | spl71_1 ),
    inference(subsumption_resolution,[],[f6594,f6127]) ).

fof(f6594,plain,
    ( ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_1 ),
    inference(subsumption_resolution,[],[f6593,f6128]) ).

fof(f6593,plain,
    ( ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_1 ),
    inference(subsumption_resolution,[],[f6592,f6129]) ).

fof(f6592,plain,
    ( ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_1 ),
    inference(subsumption_resolution,[],[f6586,f6132]) ).

fof(f6586,plain,
    ( ~ m1_subset_1(sK7,u1_struct_0(sK5))
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5)
    | spl71_1 ),
    inference(resolution,[],[f6559,f6211]) ).

fof(f6211,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(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(cnf_transformation,[],[f5724]) ).

fof(f5724,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(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,[],[f5723]) ).

fof(f5723,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(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,[],[f3813]) ).

fof(f3813,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,u1_struct_0(X0))
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.x25J28gVfO/Vampire---4.8_27973',dt_k3_group_1) ).

fof(f6559,plain,
    ( ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | spl71_1 ),
    inference(avatar_component_clause,[],[f6557]) ).

fof(f6557,plain,
    ( spl71_1
  <=> m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl71_1])]) ).

fof(f6564,plain,
    ( ~ spl71_1
    | ~ spl71_2 ),
    inference(avatar_split_clause,[],[f6555,f6561,f6557]) ).

fof(f6555,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5)) ),
    inference(subsumption_resolution,[],[f6554,f6126]) ).

fof(f6554,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6553,f6127]) ).

fof(f6553,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6552,f6128]) ).

fof(f6552,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6551,f6129]) ).

fof(f6551,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6550,f6130]) ).

fof(f6550,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | ~ v1_group_1(sK6)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(subsumption_resolution,[],[f6546,f6131]) ).

fof(f6546,plain,
    ( ~ r1_rlvect_1(sK6,k3_group_1(sK5,sK7))
    | ~ m1_subset_1(k3_group_1(sK5,sK7),u1_struct_0(sK5))
    | ~ m1_group_2(sK6,sK5)
    | ~ v1_group_1(sK6)
    | ~ l1_group_1(sK5)
    | ~ v4_group_1(sK5)
    | ~ v3_group_1(sK5)
    | v3_struct_0(sK5) ),
    inference(resolution,[],[f6134,f6241]) ).

fof(f6241,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | ~ r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ 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,[],[f6014]) ).

fof(f6134,plain,
    ~ r2_hidden(k3_group_1(sK5,sK7),k1_funct_1(k1_latsubgr(sK5),sK6)),
    inference(cnf_transformation,[],[f5961]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP644+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14  % 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 : n008.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   : Fri May  3 20:48:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.x25J28gVfO/Vampire---4.8_27973
% 0.74/0.91  % (28361)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 (2994ds/56Mi)
% 0.74/0.91  % (28354)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 (2994ds/34Mi)
% 0.74/0.91  % (28355)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 (2994ds/51Mi)
% 0.74/0.91  % (28356)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.91  % (28357)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.91  % (28358)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 (2994ds/34Mi)
% 0.74/0.91  % (28359)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.91  % (28360)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 (2994ds/83Mi)
% 0.74/0.93  % (28361)Instruction limit reached!
% 0.74/0.93  % (28361)------------------------------
% 0.74/0.93  % (28361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (28361)Termination reason: Unknown
% 0.74/0.93  % (28361)Termination phase: Saturation
% 0.74/0.93  
% 0.74/0.93  % (28361)Memory used [KB]: 8081
% 0.74/0.93  % (28361)Time elapsed: 0.020 s
% 0.74/0.93  % (28361)Instructions burned: 57 (million)
% 0.74/0.93  % (28361)------------------------------
% 0.74/0.93  % (28361)------------------------------
% 0.74/0.93  % (28354)Instruction limit reached!
% 0.74/0.93  % (28354)------------------------------
% 0.74/0.93  % (28354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (28354)Termination reason: Unknown
% 0.74/0.93  % (28354)Termination phase: SInE selection
% 0.74/0.93  
% 0.74/0.93  % (28354)Memory used [KB]: 7424
% 0.74/0.93  % (28354)Time elapsed: 0.022 s
% 0.74/0.93  % (28354)Instructions burned: 35 (million)
% 0.74/0.93  % (28354)------------------------------
% 0.74/0.93  % (28354)------------------------------
% 0.74/0.93  % (28362)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 (2994ds/55Mi)
% 0.74/0.94  % (28357)Instruction limit reached!
% 0.74/0.94  % (28357)------------------------------
% 0.74/0.94  % (28357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.94  % (28357)Termination reason: Unknown
% 0.74/0.94  % (28357)Termination phase: Preprocessing 2
% 0.74/0.94  
% 0.74/0.94  % (28357)Memory used [KB]: 7428
% 0.74/0.94  % (28357)Time elapsed: 0.024 s
% 0.74/0.94  % (28358)Instruction limit reached!
% 0.74/0.94  % (28358)------------------------------
% 0.74/0.94  % (28358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.94  % (28358)Termination reason: Unknown
% 0.74/0.94  % (28358)Termination phase: Preprocessing 1
% 0.74/0.94  
% 0.74/0.94  % (28358)Memory used [KB]: 7401
% 0.74/0.94  % (28358)Time elapsed: 0.024 s
% 0.74/0.94  % (28358)Instructions burned: 35 (million)
% 0.74/0.94  % (28358)------------------------------
% 0.74/0.94  % (28358)------------------------------
% 0.74/0.94  % (28357)Instructions burned: 33 (million)
% 0.74/0.94  % (28357)------------------------------
% 0.74/0.94  % (28357)------------------------------
% 0.74/0.94  % (28363)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 (2994ds/50Mi)
% 0.74/0.94  % (28364)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.74/0.94  % (28365)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.85/0.94  % (28359)Instruction limit reached!
% 0.85/0.94  % (28359)------------------------------
% 0.85/0.94  % (28359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.94  % (28359)Termination reason: Unknown
% 0.85/0.94  % (28359)Termination phase: Preprocessing 3
% 0.85/0.94  
% 0.85/0.94  % (28359)Memory used [KB]: 7818
% 0.85/0.94  % (28359)Time elapsed: 0.032 s
% 0.85/0.94  % (28359)Instructions burned: 46 (million)
% 0.85/0.94  % (28359)------------------------------
% 0.85/0.94  % (28359)------------------------------
% 0.88/0.95  % (28355)Instruction limit reached!
% 0.88/0.95  % (28355)------------------------------
% 0.88/0.95  % (28355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.95  % (28355)Termination reason: Unknown
% 0.88/0.95  % (28355)Termination phase: SInE selection
% 0.88/0.95  
% 0.88/0.95  % (28355)Memory used [KB]: 7660
% 0.88/0.95  % (28355)Time elapsed: 0.035 s
% 0.88/0.95  % (28355)Instructions burned: 51 (million)
% 0.88/0.95  % (28355)------------------------------
% 0.88/0.95  % (28355)------------------------------
% 0.88/0.95  % (28366)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.88/0.95  % (28367)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.88/0.95  % (28362)Instruction limit reached!
% 0.88/0.95  % (28362)------------------------------
% 0.88/0.95  % (28362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.95  % (28362)Termination reason: Unknown
% 0.88/0.95  % (28362)Termination phase: Property scanning
% 0.88/0.95  
% 0.88/0.95  % (28362)Memory used [KB]: 7866
% 0.88/0.95  % (28362)Time elapsed: 0.019 s
% 0.88/0.95  % (28362)Instructions burned: 57 (million)
% 0.88/0.95  % (28362)------------------------------
% 0.88/0.95  % (28362)------------------------------
% 0.88/0.95  % (28368)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.88/0.96  % (28356)Instruction limit reached!
% 0.88/0.96  % (28356)------------------------------
% 0.88/0.96  % (28356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.96  % (28356)Termination reason: Unknown
% 0.88/0.96  % (28356)Termination phase: Saturation
% 0.88/0.96  
% 0.88/0.96  % (28356)Memory used [KB]: 8418
% 0.88/0.96  % (28356)Time elapsed: 0.047 s
% 0.88/0.96  % (28356)Instructions burned: 78 (million)
% 0.88/0.96  % (28356)------------------------------
% 0.88/0.96  % (28356)------------------------------
% 0.88/0.96  % (28360)Instruction limit reached!
% 0.88/0.96  % (28360)------------------------------
% 0.88/0.96  % (28360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.96  % (28360)Termination reason: Unknown
% 0.88/0.96  % (28360)Termination phase: SInE selection
% 0.88/0.96  
% 0.88/0.96  % (28360)Memory used [KB]: 7510
% 0.88/0.96  % (28360)Time elapsed: 0.051 s
% 0.88/0.96  % (28360)Instructions burned: 83 (million)
% 0.88/0.96  % (28360)------------------------------
% 0.88/0.96  % (28360)------------------------------
% 0.88/0.96  % (28369)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.88/0.97  % (28370)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.88/0.97  % (28363)Instruction limit reached!
% 0.88/0.97  % (28363)------------------------------
% 0.88/0.97  % (28363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.97  % (28363)Termination reason: Unknown
% 0.88/0.97  % (28363)Termination phase: SInE selection
% 0.88/0.97  
% 0.88/0.97  % (28363)Memory used [KB]: 7644
% 0.88/0.97  % (28363)Time elapsed: 0.033 s
% 0.88/0.97  % (28363)Instructions burned: 50 (million)
% 0.88/0.97  % (28363)------------------------------
% 0.88/0.97  % (28363)------------------------------
% 0.88/0.97  % (28367)Instruction limit reached!
% 0.88/0.97  % (28367)------------------------------
% 0.88/0.97  % (28367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.97  % (28367)Termination reason: Unknown
% 0.88/0.97  % (28367)Termination phase: Preprocessing 1
% 0.88/0.97  
% 0.88/0.97  % (28367)Memory used [KB]: 7408
% 0.88/0.97  % (28367)Time elapsed: 0.021 s
% 0.88/0.97  % (28367)Instructions burned: 42 (million)
% 0.88/0.97  % (28367)------------------------------
% 0.88/0.97  % (28367)------------------------------
% 0.88/0.97  % (28365)Instruction limit reached!
% 0.88/0.97  % (28365)------------------------------
% 0.88/0.97  % (28365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.97  % (28365)Termination reason: Unknown
% 0.88/0.97  % (28365)Termination phase: Clausification
% 0.88/0.97  
% 0.88/0.97  % (28371)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2993ds/93Mi)
% 0.88/0.97  % (28365)Memory used [KB]: 8023
% 0.88/0.97  % (28365)Time elapsed: 0.035 s
% 0.88/0.97  % (28365)Instructions burned: 52 (million)
% 0.88/0.97  % (28365)------------------------------
% 0.88/0.97  % (28365)------------------------------
% 0.88/0.98  % (28372)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2993ds/62Mi)
% 0.88/0.98  % (28373)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2993ds/32Mi)
% 0.88/1.00  % (28373)Instruction limit reached!
% 0.88/1.00  % (28373)------------------------------
% 0.88/1.00  % (28373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/1.00  % (28373)Termination reason: Unknown
% 0.88/1.00  % (28373)Termination phase: SInE selection
% 0.88/1.00  
% 0.88/1.00  % (28373)Memory used [KB]: 7577
% 0.88/1.00  % (28373)Time elapsed: 0.022 s
% 0.88/1.00  % (28373)Instructions burned: 32 (million)
% 0.88/1.00  % (28373)------------------------------
% 0.88/1.00  % (28373)------------------------------
% 1.16/1.00  % (28366)First to succeed.
% 1.16/1.00  % (28366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28162"
% 1.16/1.00  % (28374)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2993ds/1919Mi)
% 1.16/1.01  % (28366)Refutation found. Thanks to Tanya!
% 1.16/1.01  % SZS status Theorem for Vampire---4
% 1.16/1.01  % SZS output start Proof for Vampire---4
% See solution above
% 1.16/1.01  % (28366)------------------------------
% 1.16/1.01  % (28366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/1.01  % (28366)Termination reason: Refutation
% 1.16/1.01  
% 1.16/1.01  % (28366)Memory used [KB]: 8141
% 1.16/1.01  % (28366)Time elapsed: 0.055 s
% 1.16/1.01  % (28366)Instructions burned: 91 (million)
% 1.16/1.01  % (28162)Success in time 0.634 s
% 1.16/1.01  % Vampire---4.8 exiting
%------------------------------------------------------------------------------