TSTP Solution File: GRP644+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP644+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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:49:54 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% 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(f196,plain,
    $false,
    inference(avatar_sat_refutation,[],[f178,f186,f195]) ).

fof(f195,plain,
    spl10_4,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | spl10_4 ),
    inference(subsumption_resolution,[],[f193,f97]) ).

fof(f97,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
    & r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
    & m1_subset_1(sK2,u1_struct_0(sK0))
    & m1_group_2(sK1,sK0)
    & v1_group_1(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])],[f58,f80,f79,f78]) ).

fof(f78,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(sK0,X2),k1_funct_1(k1_latsubgr(sK0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
              & m1_subset_1(X2,u1_struct_0(sK0)) )
          & m1_group_2(X1,sK0)
          & v1_group_1(X1) )
      & l1_group_1(sK0)
      & v4_group_1(sK0)
      & v3_group_1(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),X1))
            & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
            & m1_subset_1(X2,u1_struct_0(sK0)) )
        & m1_group_2(X1,sK0)
        & v1_group_1(X1) )
   => ( ? [X2] :
          ( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),sK1))
          & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
          & m1_subset_1(X2,u1_struct_0(sK0)) )
      & m1_group_2(sK1,sK0)
      & v1_group_1(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ( ? [X2] :
        ( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),sK1))
        & r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
        & m1_subset_1(X2,u1_struct_0(sK0)) )
   => ( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
      & r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
      & m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,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,[],[f57]) ).

fof(f57,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,[],[f2]) ).

fof(f2,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,[],[f1]) ).

fof(f1,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.MpxIgTOJfz/Vampire---4.8_12230',t22_latsubgr) ).

fof(f193,plain,
    ( v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f192,f98]) ).

fof(f98,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f192,plain,
    ( ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f191,f99]) ).

fof(f99,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f191,plain,
    ( ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f190,f100]) ).

fof(f100,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f190,plain,
    ( ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f189,f103]) ).

fof(f103,plain,
    m1_subset_1(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f81]) ).

fof(f189,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f188,f102]) ).

fof(f102,plain,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f188,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f187,f151]) ).

fof(f151,plain,
    r1_rlvect_1(sK1,sK2),
    inference(subsumption_resolution,[],[f150,f97]) ).

fof(f150,plain,
    ( r1_rlvect_1(sK1,sK2)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f149,f98]) ).

fof(f149,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f148,f99]) ).

fof(f148,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f147,f100]) ).

fof(f147,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f146,f101]) ).

fof(f101,plain,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f81]) ).

fof(f146,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v1_group_1(sK1)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f145,f102]) ).

fof(f145,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | ~ v1_group_1(sK1)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f141,f103]) ).

fof(f141,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ m1_group_2(sK1,sK0)
    | ~ v1_group_1(sK1)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolution,[],[f104,f106]) ).

fof(f106,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,[],[f82]) ).

fof(f82,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,[],[f60]) ).

fof(f60,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,[],[f59]) ).

fof(f59,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,[],[f47]) ).

fof(f47,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.MpxIgTOJfz/Vampire---4.8_12230',t18_latsubgr) ).

fof(f104,plain,
    r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f81]) ).

fof(f187,plain,
    ( ~ r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_4 ),
    inference(resolution,[],[f177,f121]) ).

fof(f121,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,[],[f76]) ).

fof(f76,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,[],[f75]) ).

fof(f75,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,[],[f53]) ).

fof(f53,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.MpxIgTOJfz/Vampire---4.8_12230',t60_group_2) ).

fof(f177,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | spl10_4 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl10_4
  <=> r1_rlvect_1(sK1,k3_group_1(sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f186,plain,
    spl10_3,
    inference(avatar_contradiction_clause,[],[f185]) ).

fof(f185,plain,
    ( $false
    | spl10_3 ),
    inference(subsumption_resolution,[],[f184,f97]) ).

fof(f184,plain,
    ( v3_struct_0(sK0)
    | spl10_3 ),
    inference(subsumption_resolution,[],[f183,f98]) ).

fof(f183,plain,
    ( ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_3 ),
    inference(subsumption_resolution,[],[f182,f99]) ).

fof(f182,plain,
    ( ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_3 ),
    inference(subsumption_resolution,[],[f181,f100]) ).

fof(f181,plain,
    ( ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_3 ),
    inference(subsumption_resolution,[],[f180,f103]) ).

fof(f180,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0)
    | spl10_3 ),
    inference(resolution,[],[f173,f108]) ).

fof(f108,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,[],[f62]) ).

fof(f62,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,[],[f61]) ).

fof(f61,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,[],[f16]) ).

fof(f16,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.MpxIgTOJfz/Vampire---4.8_12230',dt_k3_group_1) ).

fof(f173,plain,
    ( ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | spl10_3 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl10_3
  <=> m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f178,plain,
    ( ~ spl10_3
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f169,f175,f171]) ).

fof(f169,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f168,f97]) ).

fof(f168,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f167,f98]) ).

fof(f167,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f166,f99]) ).

fof(f166,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f165,f100]) ).

fof(f165,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f164,f101]) ).

fof(f164,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v1_group_1(sK1)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f162,f102]) ).

fof(f162,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ m1_group_2(sK1,sK0)
    | ~ v1_group_1(sK1)
    | ~ l1_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ v3_group_1(sK0)
    | v3_struct_0(sK0) ),
    inference(resolution,[],[f105,f107]) ).

fof(f107,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,[],[f82]) ).

fof(f105,plain,
    ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:38:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.MpxIgTOJfz/Vampire---4.8_12230
% 0.61/0.76  % (12493)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)
% 0.61/0.76  % (12489)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (12487)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)
% 0.61/0.76  % (12488)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)
% 0.61/0.76  % (12490)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)
% 0.61/0.76  % (12491)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)
% 0.61/0.76  % (12492)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)
% 0.61/0.76  % (12492)First to succeed.
% 0.61/0.76  % (12493)Also succeeded, but the first one will report.
% 0.61/0.77  % (12492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12483"
% 0.61/0.77  % (12492)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (12492)------------------------------
% 0.61/0.77  % (12492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (12492)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (12492)Memory used [KB]: 1076
% 0.61/0.77  % (12492)Time elapsed: 0.005 s
% 0.61/0.77  % (12492)Instructions burned: 6 (million)
% 0.61/0.77  % (12483)Success in time 0.391 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------