TSTP Solution File: SEU362+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU362+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:52:17 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   79 (  15 unt;   0 def)
%            Number of atoms       :  346 (  36 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  401 ( 134   ~; 111   |; 120   &)
%                                         (   7 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  139 (  91   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f283,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f206,f282]) ).

fof(f282,plain,
    ( ~ spl16_3
    | ~ spl16_4 ),
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f280,f104]) ).

fof(f104,plain,
    rel_str(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ related(sK0,sK2,sK3)
    & related(sK1,sK4,sK5)
    & sK3 = sK5
    & sK2 = sK4
    & element(sK5,the_carrier(sK1))
    & element(sK4,the_carrier(sK1))
    & element(sK3,the_carrier(sK0))
    & element(sK2,the_carrier(sK0))
    & subrelstr(sK1,sK0)
    & rel_str(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f49,f77,f76,f75,f74,f73,f72]) ).

fof(f72,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ related(X0,X2,X3)
                            & related(X1,X4,X5)
                            & 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) )
        & rel_str(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ related(sK0,X2,X3)
                          & related(X1,X4,X5)
                          & X3 = X5
                          & X2 = X4
                          & element(X5,the_carrier(X1)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(sK0)) )
              & element(X2,the_carrier(sK0)) )
          & subrelstr(X1,sK0) )
      & rel_str(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ related(sK0,X2,X3)
                        & related(X1,X4,X5)
                        & X3 = X5
                        & X2 = X4
                        & element(X5,the_carrier(X1)) )
                    & element(X4,the_carrier(X1)) )
                & element(X3,the_carrier(sK0)) )
            & element(X2,the_carrier(sK0)) )
        & subrelstr(X1,sK0) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ related(sK0,X2,X3)
                      & related(sK1,X4,X5)
                      & X3 = X5
                      & X2 = X4
                      & element(X5,the_carrier(sK1)) )
                  & element(X4,the_carrier(sK1)) )
              & element(X3,the_carrier(sK0)) )
          & element(X2,the_carrier(sK0)) )
      & subrelstr(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ related(sK0,X2,X3)
                    & related(sK1,X4,X5)
                    & X3 = X5
                    & X2 = X4
                    & element(X5,the_carrier(sK1)) )
                & element(X4,the_carrier(sK1)) )
            & element(X3,the_carrier(sK0)) )
        & element(X2,the_carrier(sK0)) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ related(sK0,sK2,X3)
                  & related(sK1,X4,X5)
                  & X3 = X5
                  & sK2 = X4
                  & element(X5,the_carrier(sK1)) )
              & element(X4,the_carrier(sK1)) )
          & element(X3,the_carrier(sK0)) )
      & element(sK2,the_carrier(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ~ related(sK0,sK2,X3)
                & related(sK1,X4,X5)
                & X3 = X5
                & sK2 = X4
                & element(X5,the_carrier(sK1)) )
            & element(X4,the_carrier(sK1)) )
        & element(X3,the_carrier(sK0)) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ~ related(sK0,sK2,sK3)
              & related(sK1,X4,X5)
              & sK3 = X5
              & sK2 = X4
              & element(X5,the_carrier(sK1)) )
          & element(X4,the_carrier(sK1)) )
      & element(sK3,the_carrier(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ~ related(sK0,sK2,sK3)
            & related(sK1,X4,X5)
            & sK3 = X5
            & sK2 = X4
            & element(X5,the_carrier(sK1)) )
        & element(X4,the_carrier(sK1)) )
   => ( ? [X5] :
          ( ~ related(sK0,sK2,sK3)
          & related(sK1,sK4,X5)
          & sK3 = X5
          & sK2 = sK4
          & element(X5,the_carrier(sK1)) )
      & element(sK4,the_carrier(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ( ? [X5] :
        ( ~ related(sK0,sK2,sK3)
        & related(sK1,sK4,X5)
        & sK3 = X5
        & sK2 = sK4
        & element(X5,the_carrier(sK1)) )
   => ( ~ related(sK0,sK2,sK3)
      & related(sK1,sK4,sK5)
      & sK3 = sK5
      & sK2 = sK4
      & element(sK5,the_carrier(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ related(X0,X2,X3)
                          & related(X1,X4,X5)
                          & 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) )
      & rel_str(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ related(X0,X2,X3)
                          & related(X1,X4,X5)
                          & 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) )
      & rel_str(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ! [X0] :
        ( rel_str(X0)
       => ! [X1] :
            ( 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))
                           => ( ( related(X1,X4,X5)
                                & X3 = X5
                                & X2 = X4 )
                             => related(X0,X2,X3) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( 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))
                         => ( ( related(X1,X4,X5)
                              & X3 = X5
                              & X2 = X4 )
                           => related(X0,X2,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',t60_yellow_0) ).

fof(f280,plain,
    ( ~ rel_str(sK0)
    | ~ spl16_3
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f279,f193]) ).

fof(f193,plain,
    ( rel_str(sK1)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl16_3
  <=> rel_str(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f279,plain,
    ( ~ rel_str(sK1)
    | ~ rel_str(sK0)
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f277,f105]) ).

fof(f105,plain,
    subrelstr(sK1,sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f277,plain,
    ( ~ subrelstr(sK1,sK0)
    | ~ rel_str(sK1)
    | ~ rel_str(sK0)
    | ~ spl16_4 ),
    inference(resolution,[],[f272,f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( subset(the_InternalRel(X1),the_InternalRel(X0))
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X1)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subrelstr(X1,X0)
              | ~ subset(the_InternalRel(X1),the_InternalRel(X0))
              | ~ subset(the_carrier(X1),the_carrier(X0)) )
            & ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
                & subset(the_carrier(X1),the_carrier(X0)) )
              | ~ subrelstr(X1,X0) ) )
          | ~ rel_str(X1) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subrelstr(X1,X0)
              | ~ subset(the_InternalRel(X1),the_InternalRel(X0))
              | ~ subset(the_carrier(X1),the_carrier(X0)) )
            & ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
                & subset(the_carrier(X1),the_carrier(X0)) )
              | ~ subrelstr(X1,X0) ) )
          | ~ rel_str(X1) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subrelstr(X1,X0)
          <=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
              & subset(the_carrier(X1),the_carrier(X0)) ) )
          | ~ rel_str(X1) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( rel_str(X1)
         => ( subrelstr(X1,X0)
          <=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
              & subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',d13_yellow_0) ).

fof(f272,plain,
    ( ~ subset(the_InternalRel(sK1),the_InternalRel(sK0))
    | ~ spl16_4 ),
    inference(resolution,[],[f263,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( element(X0,powerset(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',t3_subset) ).

fof(f263,plain,
    ( ~ element(the_InternalRel(sK1),powerset(the_InternalRel(sK0)))
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f262,f155]) ).

fof(f155,plain,
    element(sK5,the_carrier(sK0)),
    inference(definition_unfolding,[],[f107,f111]) ).

fof(f111,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f78]) ).

fof(f107,plain,
    element(sK3,the_carrier(sK0)),
    inference(cnf_transformation,[],[f78]) ).

fof(f262,plain,
    ( ~ element(the_InternalRel(sK1),powerset(the_InternalRel(sK0)))
    | ~ element(sK5,the_carrier(sK0))
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f261,f156]) ).

fof(f156,plain,
    element(sK4,the_carrier(sK0)),
    inference(definition_unfolding,[],[f106,f110]) ).

fof(f110,plain,
    sK2 = sK4,
    inference(cnf_transformation,[],[f78]) ).

fof(f106,plain,
    element(sK2,the_carrier(sK0)),
    inference(cnf_transformation,[],[f78]) ).

fof(f261,plain,
    ( ~ element(sK4,the_carrier(sK0))
    | ~ element(the_InternalRel(sK1),powerset(the_InternalRel(sK0)))
    | ~ element(sK5,the_carrier(sK0))
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f258,f104]) ).

fof(f258,plain,
    ( ~ rel_str(sK0)
    | ~ element(sK4,the_carrier(sK0))
    | ~ element(the_InternalRel(sK1),powerset(the_InternalRel(sK0)))
    | ~ element(sK5,the_carrier(sK0))
    | ~ spl16_4 ),
    inference(resolution,[],[f244,f154]) ).

fof(f154,plain,
    ~ related(sK0,sK4,sK5),
    inference(definition_unfolding,[],[f113,f110,f111]) ).

fof(f113,plain,
    ~ related(sK0,sK2,sK3),
    inference(cnf_transformation,[],[f78]) ).

fof(f244,plain,
    ( ! [X0] :
        ( related(X0,sK4,sK5)
        | ~ rel_str(X0)
        | ~ element(sK4,the_carrier(X0))
        | ~ element(the_InternalRel(sK1),powerset(the_InternalRel(X0)))
        | ~ element(sK5,the_carrier(X0)) )
    | ~ spl16_4 ),
    inference(resolution,[],[f223,f198]) ).

fof(f198,plain,
    ( in(ordered_pair(sK4,sK5),the_InternalRel(sK1))
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl16_4
  <=> in(ordered_pair(sK4,sK5),the_InternalRel(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f223,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X2,X0),X3)
      | ~ element(X2,the_carrier(X1))
      | ~ rel_str(X1)
      | related(X1,X2,X0)
      | ~ element(X3,powerset(the_InternalRel(X1)))
      | ~ element(X0,the_carrier(X1)) ),
    inference(subsumption_resolution,[],[f221,f134]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',t5_subset) ).

fof(f221,plain,
    ! [X2,X3,X0,X1] :
      ( ~ element(X0,the_carrier(X1))
      | ~ element(X2,the_carrier(X1))
      | ~ rel_str(X1)
      | empty(the_InternalRel(X1))
      | related(X1,X2,X0)
      | ~ element(X3,powerset(the_InternalRel(X1)))
      | ~ in(ordered_pair(X2,X0),X3) ),
    inference(resolution,[],[f201,f135]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',t4_subset) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ~ element(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0)
      | empty(the_InternalRel(X0))
      | related(X0,X1,X2) ),
    inference(resolution,[],[f118,f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',t2_subset) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
      | related(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( related(X0,X1,X2)
                  | ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
                & ( in(ordered_pair(X1,X2),the_InternalRel(X0))
                  | ~ related(X0,X1,X2) ) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',d9_orders_2) ).

fof(f206,plain,
    spl16_3,
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f205,plain,
    ( $false
    | spl16_3 ),
    inference(subsumption_resolution,[],[f202,f104]) ).

fof(f202,plain,
    ( ~ rel_str(sK0)
    | spl16_3 ),
    inference(resolution,[],[f200,f105]) ).

fof(f200,plain,
    ( ! [X0] :
        ( ~ subrelstr(sK1,X0)
        | ~ rel_str(X0) )
    | spl16_3 ),
    inference(resolution,[],[f194,f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( rel_str(X1)
      | ~ subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107',dt_m1_yellow_0) ).

fof(f194,plain,
    ( ~ rel_str(sK1)
    | spl16_3 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f199,plain,
    ( ~ spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f190,f196,f192]) ).

fof(f190,plain,
    ( in(ordered_pair(sK4,sK5),the_InternalRel(sK1))
    | ~ rel_str(sK1) ),
    inference(subsumption_resolution,[],[f189,f108]) ).

fof(f108,plain,
    element(sK4,the_carrier(sK1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f189,plain,
    ( in(ordered_pair(sK4,sK5),the_InternalRel(sK1))
    | ~ element(sK4,the_carrier(sK1))
    | ~ rel_str(sK1) ),
    inference(subsumption_resolution,[],[f188,f109]) ).

fof(f109,plain,
    element(sK5,the_carrier(sK1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f188,plain,
    ( in(ordered_pair(sK4,sK5),the_InternalRel(sK1))
    | ~ element(sK5,the_carrier(sK1))
    | ~ element(sK4,the_carrier(sK1))
    | ~ rel_str(sK1) ),
    inference(resolution,[],[f117,f112]) ).

fof(f112,plain,
    related(sK1,sK4,sK5),
    inference(cnf_transformation,[],[f78]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X1,X2)
      | in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.35  % Computer : n002.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:27:25 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.nBYSmBoca6/Vampire---4.8_24107
% 0.62/0.77  % (24292)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 (2995ds/34Mi)
% 0.62/0.77  % (24299)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 (2995ds/56Mi)
% 0.62/0.77  % (24299)Refutation not found, incomplete strategy% (24299)------------------------------
% 0.62/0.77  % (24299)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (24299)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (24299)Memory used [KB]: 1026
% 0.62/0.77  % (24299)Time elapsed: 0.002 s
% 0.62/0.77  % (24299)Instructions burned: 2 (million)
% 0.62/0.77  % (24299)------------------------------
% 0.62/0.77  % (24299)------------------------------
% 0.62/0.77  % (24294)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.77  % (24293)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 (2995ds/51Mi)
% 0.62/0.77  % (24295)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.77  % (24296)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 (2995ds/34Mi)
% 0.62/0.77  % (24298)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 (2995ds/83Mi)
% 0.62/0.77  % (24297)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.77  % (24297)Refutation not found, incomplete strategy% (24297)------------------------------
% 0.62/0.77  % (24297)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (24297)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (24297)Memory used [KB]: 1026
% 0.62/0.77  % (24297)Time elapsed: 0.003 s
% 0.62/0.77  % (24297)Instructions burned: 2 (million)
% 0.62/0.77  % (24297)------------------------------
% 0.62/0.77  % (24297)------------------------------
% 0.62/0.77  % (24302)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 (2995ds/55Mi)
% 0.62/0.77  % (24304)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 (2995ds/50Mi)
% 0.62/0.78  % (24294)First to succeed.
% 0.62/0.78  % (24292)Instruction limit reached!
% 0.62/0.78  % (24292)------------------------------
% 0.62/0.78  % (24292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (24292)Termination reason: Unknown
% 0.62/0.78  % (24292)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (24292)Memory used [KB]: 1262
% 0.62/0.78  % (24292)Time elapsed: 0.012 s
% 0.62/0.78  % (24292)Instructions burned: 35 (million)
% 0.62/0.78  % (24292)------------------------------
% 0.62/0.78  % (24292)------------------------------
% 0.62/0.78  % (24294)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (24294)------------------------------
% 0.62/0.78  % (24294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (24294)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (24294)Memory used [KB]: 1161
% 0.62/0.78  % (24294)Time elapsed: 0.010 s
% 0.62/0.78  % (24294)Instructions burned: 13 (million)
% 0.62/0.78  % (24294)------------------------------
% 0.62/0.78  % (24294)------------------------------
% 0.62/0.78  % (24270)Success in time 0.412 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------