TSTP Solution File: SEU375+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n012.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 09:22:53 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   96 (  22 unt;   0 def)
%            Number of atoms       :  509 (  49 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  644 ( 231   ~; 194   |; 175   &)
%                                         (   4 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :  160 (  97   !;  63   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,plain,
    $false,
    inference(avatar_sat_refutation,[],[f154,f159,f203]) ).

fof(f203,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f201,f130]) ).

fof(f130,plain,
    rel_str(sK1),
    inference(subsumption_resolution,[],[f129,f88]) ).

fof(f88,plain,
    one_sorted_str(sK0),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ~ related(sK2,sK5,sK6)
    & related(sK1,sK3,sK4)
    & sK4 = sK6
    & sK3 = sK5
    & element(sK6,the_carrier(sK2))
    & element(sK5,the_carrier(sK2))
    & element(sK4,the_carrier(sK1))
    & element(sK3,the_carrier(sK1))
    & subnetstr(sK2,sK0,sK1)
    & full_subnetstr(sK2,sK0,sK1)
    & ~ empty_carrier(sK2)
    & net_str(sK1,sK0)
    & ~ empty_carrier(sK1)
    & one_sorted_str(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f43,f70,f69,f68,f67,f66,f65,f64]) ).

fof(f64,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ~ related(X2,X5,X6)
                                & related(X1,X3,X4)
                                & X4 = X6
                                & X3 = X5
                                & element(X6,the_carrier(X2)) )
                            & element(X5,the_carrier(X2)) )
                        & element(X4,the_carrier(X1)) )
                    & element(X3,the_carrier(X1)) )
                & subnetstr(X2,X0,X1)
                & full_subnetstr(X2,X0,X1)
                & ~ empty_carrier(X2) )
            & net_str(X1,X0)
            & ~ empty_carrier(X1) )
        & one_sorted_str(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X2,X5,X6)
                              & related(X1,X3,X4)
                              & X4 = X6
                              & X3 = X5
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,sK0,X1)
              & full_subnetstr(X2,sK0,X1)
              & ~ empty_carrier(X2) )
          & net_str(X1,sK0)
          & ~ empty_carrier(X1) )
      & one_sorted_str(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ~ related(X2,X5,X6)
                            & related(X1,X3,X4)
                            & X4 = X6
                            & X3 = X5
                            & element(X6,the_carrier(X2)) )
                        & element(X5,the_carrier(X2)) )
                    & element(X4,the_carrier(X1)) )
                & element(X3,the_carrier(X1)) )
            & subnetstr(X2,sK0,X1)
            & full_subnetstr(X2,sK0,X1)
            & ~ empty_carrier(X2) )
        & net_str(X1,sK0)
        & ~ empty_carrier(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ~ related(X2,X5,X6)
                          & related(sK1,X3,X4)
                          & X4 = X6
                          & X3 = X5
                          & element(X6,the_carrier(X2)) )
                      & element(X5,the_carrier(X2)) )
                  & element(X4,the_carrier(sK1)) )
              & element(X3,the_carrier(sK1)) )
          & subnetstr(X2,sK0,sK1)
          & full_subnetstr(X2,sK0,sK1)
          & ~ empty_carrier(X2) )
      & net_str(sK1,sK0)
      & ~ empty_carrier(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ~ related(X2,X5,X6)
                        & related(sK1,X3,X4)
                        & X4 = X6
                        & X3 = X5
                        & element(X6,the_carrier(X2)) )
                    & element(X5,the_carrier(X2)) )
                & element(X4,the_carrier(sK1)) )
            & element(X3,the_carrier(sK1)) )
        & subnetstr(X2,sK0,sK1)
        & full_subnetstr(X2,sK0,sK1)
        & ~ empty_carrier(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ~ related(sK2,X5,X6)
                      & related(sK1,X3,X4)
                      & X4 = X6
                      & X3 = X5
                      & element(X6,the_carrier(sK2)) )
                  & element(X5,the_carrier(sK2)) )
              & element(X4,the_carrier(sK1)) )
          & element(X3,the_carrier(sK1)) )
      & subnetstr(sK2,sK0,sK1)
      & full_subnetstr(sK2,sK0,sK1)
      & ~ empty_carrier(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ~ related(sK2,X5,X6)
                    & related(sK1,X3,X4)
                    & X4 = X6
                    & X3 = X5
                    & element(X6,the_carrier(sK2)) )
                & element(X5,the_carrier(sK2)) )
            & element(X4,the_carrier(sK1)) )
        & element(X3,the_carrier(sK1)) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ~ related(sK2,X5,X6)
                  & related(sK1,sK3,X4)
                  & X4 = X6
                  & sK3 = X5
                  & element(X6,the_carrier(sK2)) )
              & element(X5,the_carrier(sK2)) )
          & element(X4,the_carrier(sK1)) )
      & element(sK3,the_carrier(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ~ related(sK2,X5,X6)
                & related(sK1,sK3,X4)
                & X4 = X6
                & sK3 = X5
                & element(X6,the_carrier(sK2)) )
            & element(X5,the_carrier(sK2)) )
        & element(X4,the_carrier(sK1)) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ~ related(sK2,X5,X6)
              & related(sK1,sK3,sK4)
              & sK4 = X6
              & sK3 = X5
              & element(X6,the_carrier(sK2)) )
          & element(X5,the_carrier(sK2)) )
      & element(sK4,the_carrier(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ~ related(sK2,X5,X6)
            & related(sK1,sK3,sK4)
            & sK4 = X6
            & sK3 = X5
            & element(X6,the_carrier(sK2)) )
        & element(X5,the_carrier(sK2)) )
   => ( ? [X6] :
          ( ~ related(sK2,sK5,X6)
          & related(sK1,sK3,sK4)
          & sK4 = X6
          & sK3 = sK5
          & element(X6,the_carrier(sK2)) )
      & element(sK5,the_carrier(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( ? [X6] :
        ( ~ related(sK2,sK5,X6)
        & related(sK1,sK3,sK4)
        & sK4 = X6
        & sK3 = sK5
        & element(X6,the_carrier(sK2)) )
   => ( ~ related(sK2,sK5,sK6)
      & related(sK1,sK3,sK4)
      & sK4 = sK6
      & sK3 = sK5
      & element(sK6,the_carrier(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X2,X5,X6)
                              & related(X1,X3,X4)
                              & X4 = X6
                              & X3 = X5
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,X0,X1)
              & full_subnetstr(X2,X0,X1)
              & ~ empty_carrier(X2) )
          & net_str(X1,X0)
          & ~ empty_carrier(X1) )
      & one_sorted_str(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ~ related(X2,X5,X6)
                              & related(X1,X3,X4)
                              & X4 = X6
                              & X3 = X5
                              & element(X6,the_carrier(X2)) )
                          & element(X5,the_carrier(X2)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) )
              & subnetstr(X2,X0,X1)
              & full_subnetstr(X2,X0,X1)
              & ~ empty_carrier(X2) )
          & net_str(X1,X0)
          & ~ empty_carrier(X1) )
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => ! [X1] :
            ( ( net_str(X1,X0)
              & ~ empty_carrier(X1) )
           => ! [X2] :
                ( ( subnetstr(X2,X0,X1)
                  & full_subnetstr(X2,X0,X1)
                  & ~ empty_carrier(X2) )
               => ! [X3] :
                    ( element(X3,the_carrier(X1))
                   => ! [X4] :
                        ( element(X4,the_carrier(X1))
                       => ! [X5] :
                            ( element(X5,the_carrier(X2))
                           => ! [X6] :
                                ( element(X6,the_carrier(X2))
                               => ( ( related(X1,X3,X4)
                                    & X4 = X6
                                    & X3 = X5 )
                                 => related(X2,X5,X6) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( ( net_str(X1,X0)
            & ~ empty_carrier(X1) )
         => ! [X2] :
              ( ( subnetstr(X2,X0,X1)
                & full_subnetstr(X2,X0,X1)
                & ~ empty_carrier(X2) )
             => ! [X3] :
                  ( element(X3,the_carrier(X1))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X2))
                         => ! [X6] :
                              ( element(X6,the_carrier(X2))
                             => ( ( related(X1,X3,X4)
                                  & X4 = X6
                                  & X3 = X5 )
                               => related(X2,X5,X6) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',t21_yellow_6) ).

fof(f129,plain,
    ( rel_str(sK1)
    | ~ one_sorted_str(sK0) ),
    inference(resolution,[],[f90,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ net_str(X1,X0)
      | rel_str(X1)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',dt_l1_waybel_0) ).

fof(f90,plain,
    net_str(sK1,sK0),
    inference(cnf_transformation,[],[f71]) ).

fof(f201,plain,
    ( ~ rel_str(sK1)
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f200,f135]) ).

fof(f135,plain,
    full_subrelstr(sK2,sK1),
    inference(subsumption_resolution,[],[f134,f88]) ).

fof(f134,plain,
    ( full_subrelstr(sK2,sK1)
    | ~ one_sorted_str(sK0) ),
    inference(subsumption_resolution,[],[f133,f90]) ).

fof(f133,plain,
    ( full_subrelstr(sK2,sK1)
    | ~ net_str(sK1,sK0)
    | ~ one_sorted_str(sK0) ),
    inference(subsumption_resolution,[],[f131,f93]) ).

fof(f93,plain,
    subnetstr(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f71]) ).

fof(f131,plain,
    ( full_subrelstr(sK2,sK1)
    | ~ subnetstr(sK2,sK0,sK1)
    | ~ net_str(sK1,sK0)
    | ~ one_sorted_str(sK0) ),
    inference(resolution,[],[f92,f111]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ full_subnetstr(X2,X0,X1)
      | full_subrelstr(X2,X1)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( full_subnetstr(X2,X0,X1)
                  | ~ subrelstr(X2,X1)
                  | ~ full_subrelstr(X2,X1) )
                & ( ( subrelstr(X2,X1)
                    & full_subrelstr(X2,X1) )
                  | ~ full_subnetstr(X2,X0,X1) ) )
              | ~ subnetstr(X2,X0,X1) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( full_subnetstr(X2,X0,X1)
                  | ~ subrelstr(X2,X1)
                  | ~ full_subrelstr(X2,X1) )
                & ( ( subrelstr(X2,X1)
                    & full_subrelstr(X2,X1) )
                  | ~ full_subnetstr(X2,X0,X1) ) )
              | ~ subnetstr(X2,X0,X1) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( full_subnetstr(X2,X0,X1)
              <=> ( subrelstr(X2,X1)
                  & full_subrelstr(X2,X1) ) )
              | ~ subnetstr(X2,X0,X1) )
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => ! [X2] :
              ( subnetstr(X2,X0,X1)
             => ( full_subnetstr(X2,X0,X1)
              <=> ( subrelstr(X2,X1)
                  & full_subrelstr(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',d9_yellow_6) ).

fof(f92,plain,
    full_subnetstr(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f71]) ).

fof(f200,plain,
    ( ~ full_subrelstr(sK2,sK1)
    | ~ rel_str(sK1)
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f199,f138]) ).

fof(f138,plain,
    subrelstr(sK2,sK1),
    inference(subsumption_resolution,[],[f137,f88]) ).

fof(f137,plain,
    ( subrelstr(sK2,sK1)
    | ~ one_sorted_str(sK0) ),
    inference(subsumption_resolution,[],[f136,f90]) ).

fof(f136,plain,
    ( subrelstr(sK2,sK1)
    | ~ net_str(sK1,sK0)
    | ~ one_sorted_str(sK0) ),
    inference(subsumption_resolution,[],[f132,f93]) ).

fof(f132,plain,
    ( subrelstr(sK2,sK1)
    | ~ subnetstr(sK2,sK0,sK1)
    | ~ net_str(sK1,sK0)
    | ~ one_sorted_str(sK0) ),
    inference(resolution,[],[f92,f112]) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( ~ full_subnetstr(X2,X0,X1)
      | subrelstr(X2,X1)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f199,plain,
    ( ~ subrelstr(sK2,sK1)
    | ~ full_subrelstr(sK2,sK1)
    | ~ rel_str(sK1)
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f198,f126]) ).

fof(f126,plain,
    element(sK5,the_carrier(sK1)),
    inference(definition_unfolding,[],[f94,f98]) ).

fof(f98,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f71]) ).

fof(f94,plain,
    element(sK3,the_carrier(sK1)),
    inference(cnf_transformation,[],[f71]) ).

fof(f198,plain,
    ( ~ element(sK5,the_carrier(sK1))
    | ~ subrelstr(sK2,sK1)
    | ~ full_subrelstr(sK2,sK1)
    | ~ rel_str(sK1)
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f193,f125]) ).

fof(f125,plain,
    element(sK6,the_carrier(sK1)),
    inference(definition_unfolding,[],[f95,f99]) ).

fof(f99,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f71]) ).

fof(f95,plain,
    element(sK4,the_carrier(sK1)),
    inference(cnf_transformation,[],[f71]) ).

fof(f193,plain,
    ( ~ element(sK6,the_carrier(sK1))
    | ~ element(sK5,the_carrier(sK1))
    | ~ subrelstr(sK2,sK1)
    | ~ full_subrelstr(sK2,sK1)
    | ~ rel_str(sK1)
    | ~ spl14_1
    | spl14_2 ),
    inference(resolution,[],[f166,f124]) ).

fof(f124,plain,
    related(sK1,sK5,sK6),
    inference(definition_unfolding,[],[f100,f98,f99]) ).

fof(f100,plain,
    related(sK1,sK3,sK4),
    inference(cnf_transformation,[],[f71]) ).

fof(f166,plain,
    ( ! [X0] :
        ( ~ related(X0,sK5,sK6)
        | ~ element(sK6,the_carrier(X0))
        | ~ element(sK5,the_carrier(X0))
        | ~ subrelstr(sK2,X0)
        | ~ full_subrelstr(sK2,X0)
        | ~ rel_str(X0) )
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f165,f96]) ).

fof(f96,plain,
    element(sK5,the_carrier(sK2)),
    inference(cnf_transformation,[],[f71]) ).

fof(f165,plain,
    ( ! [X0] :
        ( ~ related(X0,sK5,sK6)
        | ~ element(sK5,the_carrier(sK2))
        | ~ element(sK6,the_carrier(X0))
        | ~ element(sK5,the_carrier(X0))
        | ~ subrelstr(sK2,X0)
        | ~ full_subrelstr(sK2,X0)
        | ~ rel_str(X0) )
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f164,f97]) ).

fof(f97,plain,
    element(sK6,the_carrier(sK2)),
    inference(cnf_transformation,[],[f71]) ).

fof(f164,plain,
    ( ! [X0] :
        ( ~ related(X0,sK5,sK6)
        | ~ element(sK6,the_carrier(sK2))
        | ~ element(sK5,the_carrier(sK2))
        | ~ element(sK6,the_carrier(X0))
        | ~ element(sK5,the_carrier(X0))
        | ~ subrelstr(sK2,X0)
        | ~ full_subrelstr(sK2,X0)
        | ~ rel_str(X0) )
    | ~ spl14_1
    | spl14_2 ),
    inference(subsumption_resolution,[],[f163,f149]) ).

fof(f149,plain,
    ( in(sK5,the_carrier(sK2))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl14_1
  <=> in(sK5,the_carrier(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f163,plain,
    ( ! [X0] :
        ( ~ in(sK5,the_carrier(sK2))
        | ~ related(X0,sK5,sK6)
        | ~ element(sK6,the_carrier(sK2))
        | ~ element(sK5,the_carrier(sK2))
        | ~ element(sK6,the_carrier(X0))
        | ~ element(sK5,the_carrier(X0))
        | ~ subrelstr(sK2,X0)
        | ~ full_subrelstr(sK2,X0)
        | ~ rel_str(X0) )
    | spl14_2 ),
    inference(subsumption_resolution,[],[f162,f161]) ).

fof(f161,plain,
    ( in(sK6,the_carrier(sK2))
    | spl14_2 ),
    inference(subsumption_resolution,[],[f160,f152]) ).

fof(f152,plain,
    ( ~ empty(the_carrier(sK2))
    | spl14_2 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl14_2
  <=> empty(the_carrier(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f160,plain,
    ( empty(the_carrier(sK2))
    | in(sK6,the_carrier(sK2)) ),
    inference(resolution,[],[f97,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',t2_subset) ).

fof(f162,plain,
    ! [X0] :
      ( ~ in(sK6,the_carrier(sK2))
      | ~ in(sK5,the_carrier(sK2))
      | ~ related(X0,sK5,sK6)
      | ~ element(sK6,the_carrier(sK2))
      | ~ element(sK5,the_carrier(sK2))
      | ~ element(sK6,the_carrier(X0))
      | ~ element(sK5,the_carrier(X0))
      | ~ subrelstr(sK2,X0)
      | ~ full_subrelstr(sK2,X0)
      | ~ rel_str(X0) ),
    inference(resolution,[],[f101,f128]) ).

fof(f128,plain,
    ! [X0,X1,X4,X5] :
      ( related(X1,X4,X5)
      | ~ in(X5,the_carrier(X1))
      | ~ in(X4,the_carrier(X1))
      | ~ related(X0,X4,X5)
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f127]) ).

fof(f127,plain,
    ! [X2,X0,X1,X4,X5] :
      ( related(X1,X4,X5)
      | ~ in(X5,the_carrier(X1))
      | ~ in(X4,the_carrier(X1))
      | ~ related(X0,X2,X5)
      | X2 != X4
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( related(X1,X4,X5)
      | ~ in(X5,the_carrier(X1))
      | ~ in(X4,the_carrier(X1))
      | ~ related(X0,X2,X3)
      | X3 != X5
      | X2 != X4
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X1,X4,X5)
                          | ~ in(X5,the_carrier(X1))
                          | ~ in(X4,the_carrier(X1))
                          | ~ related(X0,X2,X3)
                          | X3 != X5
                          | X2 != X4
                          | ~ element(X5,the_carrier(X1)) )
                      | ~ element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ subrelstr(X1,X0)
          | ~ full_subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( related(X1,X4,X5)
                          | ~ in(X5,the_carrier(X1))
                          | ~ in(X4,the_carrier(X1))
                          | ~ related(X0,X2,X3)
                          | X3 != X5
                          | X2 != X4
                          | ~ element(X5,the_carrier(X1)) )
                      | ~ element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ subrelstr(X1,X0)
          | ~ full_subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( ( subrelstr(X1,X0)
            & full_subrelstr(X1,X0) )
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X1))
                         => ( ( in(X5,the_carrier(X1))
                              & in(X4,the_carrier(X1))
                              & related(X0,X2,X3)
                              & X3 = X5
                              & X2 = X4 )
                           => related(X1,X4,X5) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',t61_yellow_0) ).

fof(f101,plain,
    ~ related(sK2,sK5,sK6),
    inference(cnf_transformation,[],[f71]) ).

fof(f159,plain,
    ~ spl14_2,
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f157,f140]) ).

fof(f140,plain,
    rel_str(sK2),
    inference(subsumption_resolution,[],[f139,f130]) ).

fof(f139,plain,
    ( rel_str(sK2)
    | ~ rel_str(sK1) ),
    inference(resolution,[],[f138,f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ subrelstr(X1,X0)
      | rel_str(X1)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',dt_m1_yellow_0) ).

fof(f157,plain,
    ( ~ rel_str(sK2)
    | ~ spl14_2 ),
    inference(resolution,[],[f156,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( rel_str(X0)
     => one_sorted_str(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',dt_l1_orders_2) ).

fof(f156,plain,
    ( ~ one_sorted_str(sK2)
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f155,f91]) ).

fof(f91,plain,
    ~ empty_carrier(sK2),
    inference(cnf_transformation,[],[f71]) ).

fof(f155,plain,
    ( ~ one_sorted_str(sK2)
    | empty_carrier(sK2)
    | ~ spl14_2 ),
    inference(resolution,[],[f153,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.9CeJrrFV1C/Vampire---4.8_1723',fc1_struct_0) ).

fof(f153,plain,
    ( empty(the_carrier(sK2))
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f154,plain,
    ( spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f145,f151,f147]) ).

fof(f145,plain,
    ( empty(the_carrier(sK2))
    | in(sK5,the_carrier(sK2)) ),
    inference(resolution,[],[f96,f114]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 11:39:55 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.9CeJrrFV1C/Vampire---4.8_1723
% 0.57/0.74  % (2105)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)
% 0.57/0.74  % (2100)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)
% 0.57/0.74  % (2102)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (2101)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)
% 0.57/0.75  % (2105)First to succeed.
% 0.57/0.75  % (2107)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)
% 0.57/0.75  % (2105)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1982"
% 0.57/0.75  % (2100)Also succeeded, but the first one will report.
% 0.57/0.75  % (2105)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (2105)------------------------------
% 0.57/0.75  % (2105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (2105)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (2105)Memory used [KB]: 1099
% 0.57/0.75  % (2105)Time elapsed: 0.005 s
% 0.57/0.75  % (2105)Instructions burned: 9 (million)
% 0.57/0.75  % (1982)Success in time 0.384 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------