TSTP Solution File: SEU376+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU376+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 : 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 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  108 (  11 unt;   1 typ;   0 def)
%            Number of atoms       : 1453 (   0 equ)
%            Maximal formula atoms :   14 (  13 avg)
%            Number of connectives :  838 ( 324   ~; 338   |; 132   &)
%                                         (  13 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  832 ( 832 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  28 usr;   8 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  206 ( 158   !;  47   ?;  43   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_22,type,
    sQ14_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f263,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f223,f238,f244,f262]) ).

tff(f262,plain,
    spl15_7,
    inference(avatar_contradiction_clause,[],[f261]) ).

tff(f261,plain,
    ( $false
    | spl15_7 ),
    inference(subsumption_resolution,[],[f260,f118]) ).

tff(f118,plain,
    ~ empty_carrier(sK0),
    inference(cnf_transformation,[],[f93]) ).

tff(f93,plain,
    ( ~ is_often_in(sK0,sK1,sK2)
    & is_eventually_in(sK0,sK1,sK2)
    & net_str(sK1,sK0)
    & directed_relstr(sK1)
    & ~ empty_carrier(sK1)
    & one_sorted_str(sK0)
    & ~ empty_carrier(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f74,f92,f91,f90]) ).

tff(f90,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ~ is_often_in(X0,X1,X2)
                & is_eventually_in(X0,X1,X2) )
            & net_str(X1,X0)
            & directed_relstr(X1)
            & ~ empty_carrier(X1) )
        & one_sorted_str(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ~ is_often_in(sK0,X1,X2)
              & is_eventually_in(sK0,X1,X2) )
          & net_str(X1,sK0)
          & directed_relstr(X1)
          & ~ empty_carrier(X1) )
      & one_sorted_str(sK0)
      & ~ empty_carrier(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f91,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ is_often_in(sK0,X1,X2)
            & is_eventually_in(sK0,X1,X2) )
        & net_str(X1,sK0)
        & directed_relstr(X1)
        & ~ empty_carrier(X1) )
   => ( ? [X2] :
          ( ~ is_often_in(sK0,sK1,X2)
          & is_eventually_in(sK0,sK1,X2) )
      & net_str(sK1,sK0)
      & directed_relstr(sK1)
      & ~ empty_carrier(sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f92,plain,
    ( ? [X2] :
        ( ~ is_often_in(sK0,sK1,X2)
        & is_eventually_in(sK0,sK1,X2) )
   => ( ~ is_often_in(sK0,sK1,sK2)
      & is_eventually_in(sK0,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f74,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ is_often_in(X0,X1,X2)
              & is_eventually_in(X0,X1,X2) )
          & net_str(X1,X0)
          & directed_relstr(X1)
          & ~ empty_carrier(X1) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f73]) ).

tff(f73,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ is_often_in(X0,X1,X2)
              & is_eventually_in(X0,X1,X2) )
          & net_str(X1,X0)
          & directed_relstr(X1)
          & ~ empty_carrier(X1) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f63]) ).

tff(f63,plain,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( ( net_str(X1,X0)
              & directed_relstr(X1)
              & ~ empty_carrier(X1) )
           => ! [X2] :
                ( is_eventually_in(X0,X1,X2)
               => is_often_in(X0,X1,X2) ) ) ),
    inference(pure_predicate_removal,[],[f55]) ).

tff(f55,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( ( net_str(X1,X0)
              & directed_relstr(X1)
              & transitive_relstr(X1)
              & ~ empty_carrier(X1) )
           => ! [X2] :
                ( is_eventually_in(X0,X1,X2)
               => is_often_in(X0,X1,X2) ) ) ),
    inference(negated_conjecture,[],[f54]) ).

tff(f54,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( net_str(X1,X0)
            & directed_relstr(X1)
            & transitive_relstr(X1)
            & ~ empty_carrier(X1) )
         => ! [X2] :
              ( is_eventually_in(X0,X1,X2)
             => is_often_in(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6OmOrhAmu/Vampire---4.8_19107',t28_yellow_6) ).

tff(f260,plain,
    ( empty_carrier(sK0)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f259,f119]) ).

tff(f119,plain,
    one_sorted_str(sK0),
    inference(cnf_transformation,[],[f93]) ).

tff(f259,plain,
    ( ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f258,f120]) ).

tff(f120,plain,
    ~ empty_carrier(sK1),
    inference(cnf_transformation,[],[f93]) ).

tff(f258,plain,
    ( empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f257,f122]) ).

tff(f122,plain,
    net_str(sK1,sK0),
    inference(cnf_transformation,[],[f93]) ).

tff(f257,plain,
    ( ~ net_str(sK1,sK0)
    | empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f256,f123]) ).

tff(f123,plain,
    is_eventually_in(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f93]) ).

tff(f256,plain,
    ( ~ is_eventually_in(sK0,sK1,sK2)
    | ~ net_str(sK1,sK0)
    | empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_7 ),
    inference(resolution,[],[f237,f134]) ).

tff(f134,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( element(sK8(X0,X1,X2),the_carrier(X1))
      | ~ is_eventually_in(X0,X1,X2)
      | ~ net_str(X1,X0)
      | empty_carrier(X1)
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_eventually_in(X0,X1,X2)
                | ! [X3] :
                    ( ( ~ in(apply_netmap(X0,X1,sK7(X0,X1,X2,X3)),X2)
                      & related(X1,X3,sK7(X0,X1,X2,X3))
                      & element(sK7(X0,X1,X2,X3),the_carrier(X1)) )
                    | ~ element(X3,the_carrier(X1)) ) )
              & ( ( ! [X6] :
                      ( in(apply_netmap(X0,X1,X6),X2)
                      | ~ related(X1,sK8(X0,X1,X2),X6)
                      | ~ element(X6,the_carrier(X1)) )
                  & element(sK8(X0,X1,X2),the_carrier(X1)) )
                | ~ is_eventually_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f103,f105,f104]) ).

tff(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ~ in(apply_netmap(X0,X1,X4),X2)
          & related(X1,X3,X4)
          & element(X4,the_carrier(X1)) )
     => ( ~ in(apply_netmap(X0,X1,sK7(X0,X1,X2,X3)),X2)
        & related(X1,X3,sK7(X0,X1,X2,X3))
        & element(sK7(X0,X1,X2,X3),the_carrier(X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f105,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( ! [X6] :
              ( in(apply_netmap(X0,X1,X6),X2)
              | ~ related(X1,X5,X6)
              | ~ element(X6,the_carrier(X1)) )
          & element(X5,the_carrier(X1)) )
     => ( ! [X6] :
            ( in(apply_netmap(X0,X1,X6),X2)
            | ~ related(X1,sK8(X0,X1,X2),X6)
            | ~ element(X6,the_carrier(X1)) )
        & element(sK8(X0,X1,X2),the_carrier(X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_eventually_in(X0,X1,X2)
                | ! [X3] :
                    ( ? [X4] :
                        ( ~ in(apply_netmap(X0,X1,X4),X2)
                        & related(X1,X3,X4)
                        & element(X4,the_carrier(X1)) )
                    | ~ element(X3,the_carrier(X1)) ) )
              & ( ? [X5] :
                    ( ! [X6] :
                        ( in(apply_netmap(X0,X1,X6),X2)
                        | ~ related(X1,X5,X6)
                        | ~ element(X6,the_carrier(X1)) )
                    & element(X5,the_carrier(X1)) )
                | ~ is_eventually_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(rectify,[],[f102]) ).

tff(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_eventually_in(X0,X1,X2)
                | ! [X3] :
                    ( ? [X4] :
                        ( ~ in(apply_netmap(X0,X1,X4),X2)
                        & related(X1,X3,X4)
                        & element(X4,the_carrier(X1)) )
                    | ~ element(X3,the_carrier(X1)) ) )
              & ( ? [X3] :
                    ( ! [X4] :
                        ( in(apply_netmap(X0,X1,X4),X2)
                        | ~ related(X1,X3,X4)
                        | ~ element(X4,the_carrier(X1)) )
                    & element(X3,the_carrier(X1)) )
                | ~ is_eventually_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f85]) ).

tff(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( is_eventually_in(X0,X1,X2)
            <=> ? [X3] :
                  ( ! [X4] :
                      ( in(apply_netmap(X0,X1,X4),X2)
                      | ~ related(X1,X3,X4)
                      | ~ element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f84]) ).

tff(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( is_eventually_in(X0,X1,X2)
            <=> ? [X3] :
                  ( ! [X4] :
                      ( in(apply_netmap(X0,X1,X4),X2)
                      | ~ related(X1,X3,X4)
                      | ~ element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X1)) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( net_str(X1,X0)
            & ~ empty_carrier(X1) )
         => ! [X2] :
              ( is_eventually_in(X0,X1,X2)
            <=> ? [X3] :
                  ( ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ( related(X1,X3,X4)
                       => in(apply_netmap(X0,X1,X4),X2) ) )
                  & element(X3,the_carrier(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6OmOrhAmu/Vampire---4.8_19107',d11_waybel_0) ).

tff(f237,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | spl15_7 ),
    inference(avatar_component_clause,[],[f235]) ).

tff(f235,plain,
    ( spl15_7
  <=> element(sK8(sK0,sK1,sK2),the_carrier(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

tff(f244,plain,
    ( ~ spl15_7
    | ~ spl15_1
    | spl15_6 ),
    inference(avatar_split_clause,[],[f243,f231,f193,f235]) ).

tff(f193,plain,
    ( spl15_1
  <=> element(sK9(sK0,sK1,sK2),the_carrier(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

tff(f231,plain,
    ( spl15_6
  <=> element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

tff(f243,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ spl15_1
    | spl15_6 ),
    inference(subsumption_resolution,[],[f242,f120]) ).

tff(f242,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | empty_carrier(sK1)
    | ~ spl15_1
    | spl15_6 ),
    inference(subsumption_resolution,[],[f241,f157]) ).

tff(f157,plain,
    rel_str(sK1),
    inference(subsumption_resolution,[],[f154,f119]) ).

tff(f154,plain,
    ( rel_str(sK1)
    | ~ one_sorted_str(sK0) ),
    inference(resolution,[],[f130,f122]) ).

tff(f130,plain,
    ! [X0: $i,X1: $i] :
      ( ~ net_str(X1,X0)
      | rel_str(X1)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tff(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ net_str(X1,X0) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f20]) ).

tff(f20,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( net_str(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6OmOrhAmu/Vampire---4.8_19107',dt_l1_waybel_0) ).

tff(f241,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_1
    | spl15_6 ),
    inference(subsumption_resolution,[],[f240,f121]) ).

tff(f121,plain,
    directed_relstr(sK1),
    inference(cnf_transformation,[],[f93]) ).

tff(f240,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ directed_relstr(sK1)
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_1
    | spl15_6 ),
    inference(subsumption_resolution,[],[f239,f194]) ).

tff(f194,plain,
    ( element(sK9(sK0,sK1,sK2),the_carrier(sK1))
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f193]) ).

tff(f239,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
    | ~ directed_relstr(sK1)
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | spl15_6 ),
    inference(resolution,[],[f233,f144]) ).

tff(f144,plain,
    ! [X0: $i,X4: $i,X5: $i] :
      ( element(sK13(X0,X4,X5),the_carrier(X0))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ directed_relstr(X0)
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f117,plain,
    ! [X0] :
      ( ( ( directed_relstr(X0)
          | ( ! [X3] :
                ( ~ related(X0,sK12(X0),X3)
                | ~ related(X0,sK11(X0),X3)
                | ~ element(X3,the_carrier(X0)) )
            & element(sK12(X0),the_carrier(X0))
            & element(sK11(X0),the_carrier(X0)) ) )
        & ( ! [X4] :
              ( ! [X5] :
                  ( ( related(X0,X5,sK13(X0,X4,X5))
                    & related(X0,X4,sK13(X0,X4,X5))
                    & element(sK13(X0,X4,X5),the_carrier(X0)) )
                  | ~ element(X5,the_carrier(X0)) )
              | ~ element(X4,the_carrier(X0)) )
          | ~ directed_relstr(X0) ) )
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f113,f116,f115,f114]) ).

tff(f114,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ! [X3] :
                  ( ~ related(X0,X2,X3)
                  | ~ related(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) )
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
     => ( ? [X2] :
            ( ! [X3] :
                ( ~ related(X0,X2,X3)
                | ~ related(X0,sK11(X0),X3)
                | ~ element(X3,the_carrier(X0)) )
            & element(X2,the_carrier(X0)) )
        & element(sK11(X0),the_carrier(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f115,plain,
    ! [X0] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ related(X0,X2,X3)
              | ~ related(X0,sK11(X0),X3)
              | ~ element(X3,the_carrier(X0)) )
          & element(X2,the_carrier(X0)) )
     => ( ! [X3] :
            ( ~ related(X0,sK12(X0),X3)
            | ~ related(X0,sK11(X0),X3)
            | ~ element(X3,the_carrier(X0)) )
        & element(sK12(X0),the_carrier(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f116,plain,
    ! [X0,X4,X5] :
      ( ? [X6] :
          ( related(X0,X5,X6)
          & related(X0,X4,X6)
          & element(X6,the_carrier(X0)) )
     => ( related(X0,X5,sK13(X0,X4,X5))
        & related(X0,X4,sK13(X0,X4,X5))
        & element(sK13(X0,X4,X5),the_carrier(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f113,plain,
    ! [X0] :
      ( ( ( directed_relstr(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ! [X3] :
                      ( ~ related(X0,X2,X3)
                      | ~ related(X0,X1,X3)
                      | ~ element(X3,the_carrier(X0)) )
                  & element(X2,the_carrier(X0)) )
              & element(X1,the_carrier(X0)) ) )
        & ( ! [X4] :
              ( ! [X5] :
                  ( ? [X6] :
                      ( related(X0,X5,X6)
                      & related(X0,X4,X6)
                      & element(X6,the_carrier(X0)) )
                  | ~ element(X5,the_carrier(X0)) )
              | ~ element(X4,the_carrier(X0)) )
          | ~ directed_relstr(X0) ) )
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(rectify,[],[f112]) ).

tff(f112,plain,
    ! [X0] :
      ( ( ( directed_relstr(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ! [X3] :
                      ( ~ related(X0,X2,X3)
                      | ~ related(X0,X1,X3)
                      | ~ element(X3,the_carrier(X0)) )
                  & element(X2,the_carrier(X0)) )
              & element(X1,the_carrier(X0)) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ? [X3] :
                      ( related(X0,X2,X3)
                      & related(X0,X1,X3)
                      & element(X3,the_carrier(X0)) )
                  | ~ element(X2,the_carrier(X0)) )
              | ~ element(X1,the_carrier(X0)) )
          | ~ directed_relstr(X0) ) )
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f89]) ).

tff(f89,plain,
    ! [X0] :
      ( ( directed_relstr(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ? [X3] :
                    ( related(X0,X2,X3)
                    & related(X0,X1,X3)
                    & element(X3,the_carrier(X0)) )
                | ~ element(X2,the_carrier(X0)) )
            | ~ element(X1,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f88]) ).

tff(f88,plain,
    ! [X0] :
      ( ( directed_relstr(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ? [X3] :
                    ( related(X0,X2,X3)
                    & related(X0,X1,X3)
                    & element(X3,the_carrier(X0)) )
                | ~ element(X2,the_carrier(X0)) )
            | ~ element(X1,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & ~ empty_carrier(X0) )
     => ( directed_relstr(X0)
      <=> ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ? [X3] :
                    ( related(X0,X2,X3)
                    & related(X0,X1,X3)
                    & element(X3,the_carrier(X0)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6OmOrhAmu/Vampire---4.8_19107',d5_yellow_6) ).

tff(f233,plain,
    ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f231]) ).

tff(f238,plain,
    ( ~ spl15_6
    | ~ spl15_7
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f229,f197,f193,f235,f231]) ).

tff(f197,plain,
    ( spl15_2
  <=> ! [X0] :
        ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1))
        | ~ element(X0,the_carrier(sK1))
        | ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

tff(f229,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f228,f120]) ).

tff(f228,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | empty_carrier(sK1)
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f227,f157]) ).

tff(f227,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f226,f121]) ).

tff(f226,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | ~ directed_relstr(sK1)
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f225,f194]) ).

tff(f225,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
    | ~ directed_relstr(sK1)
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_2 ),
    inference(duplicate_literal_removal,[],[f224]) ).

tff(f224,plain,
    ( ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),sK8(sK0,sK1,sK2)),the_carrier(sK1))
    | ~ element(sK8(sK0,sK1,sK2),the_carrier(sK1))
    | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
    | ~ directed_relstr(sK1)
    | ~ rel_str(sK1)
    | empty_carrier(sK1)
    | ~ spl15_2 ),
    inference(resolution,[],[f198,f146]) ).

tff(f146,plain,
    ! [X0: $i,X4: $i,X5: $i] :
      ( related(X0,X5,sK13(X0,X4,X5))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ directed_relstr(X0)
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f198,plain,
    ( ! [X0: $i] :
        ( ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0))
        | ~ element(X0,the_carrier(sK1))
        | ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1)) )
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f197]) ).

tff(f223,plain,
    spl15_1,
    inference(avatar_contradiction_clause,[],[f222]) ).

tff(f222,plain,
    ( $false
    | spl15_1 ),
    inference(subsumption_resolution,[],[f221,f118]) ).

tff(f221,plain,
    ( empty_carrier(sK0)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f220,f119]) ).

tff(f220,plain,
    ( ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f219,f120]) ).

tff(f219,plain,
    ( empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f218,f122]) ).

tff(f218,plain,
    ( ~ net_str(sK1,sK0)
    | empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f217,f124]) ).

tff(f124,plain,
    ~ is_often_in(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f93]) ).

tff(f217,plain,
    ( is_often_in(sK0,sK1,sK2)
    | ~ net_str(sK1,sK0)
    | empty_carrier(sK1)
    | ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | spl15_1 ),
    inference(resolution,[],[f195,f142]) ).

tff(f142,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( element(sK9(X0,X1,X2),the_carrier(X1))
      | is_often_in(X0,X1,X2)
      | ~ net_str(X1,X0)
      | empty_carrier(X1)
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f111]) ).

tff(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_often_in(X0,X1,X2)
                | ( ! [X4] :
                      ( ~ in(apply_netmap(X0,X1,X4),X2)
                      | ~ related(X1,sK9(X0,X1,X2),X4)
                      | ~ element(X4,the_carrier(X1)) )
                  & element(sK9(X0,X1,X2),the_carrier(X1)) ) )
              & ( ! [X5] :
                    ( ( in(apply_netmap(X0,X1,sK10(X0,X1,X2,X5)),X2)
                      & related(X1,X5,sK10(X0,X1,X2,X5))
                      & element(sK10(X0,X1,X2,X5),the_carrier(X1)) )
                    | ~ element(X5,the_carrier(X1)) )
                | ~ is_often_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f108,f110,f109]) ).

tff(f109,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ in(apply_netmap(X0,X1,X4),X2)
              | ~ related(X1,X3,X4)
              | ~ element(X4,the_carrier(X1)) )
          & element(X3,the_carrier(X1)) )
     => ( ! [X4] :
            ( ~ in(apply_netmap(X0,X1,X4),X2)
            | ~ related(X1,sK9(X0,X1,X2),X4)
            | ~ element(X4,the_carrier(X1)) )
        & element(sK9(X0,X1,X2),the_carrier(X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f110,plain,
    ! [X0,X1,X2,X5] :
      ( ? [X6] :
          ( in(apply_netmap(X0,X1,X6),X2)
          & related(X1,X5,X6)
          & element(X6,the_carrier(X1)) )
     => ( in(apply_netmap(X0,X1,sK10(X0,X1,X2,X5)),X2)
        & related(X1,X5,sK10(X0,X1,X2,X5))
        & element(sK10(X0,X1,X2,X5),the_carrier(X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_often_in(X0,X1,X2)
                | ? [X3] :
                    ( ! [X4] :
                        ( ~ in(apply_netmap(X0,X1,X4),X2)
                        | ~ related(X1,X3,X4)
                        | ~ element(X4,the_carrier(X1)) )
                    & element(X3,the_carrier(X1)) ) )
              & ( ! [X5] :
                    ( ? [X6] :
                        ( in(apply_netmap(X0,X1,X6),X2)
                        & related(X1,X5,X6)
                        & element(X6,the_carrier(X1)) )
                    | ~ element(X5,the_carrier(X1)) )
                | ~ is_often_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(rectify,[],[f107]) ).

tff(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( is_often_in(X0,X1,X2)
                | ? [X3] :
                    ( ! [X4] :
                        ( ~ in(apply_netmap(X0,X1,X4),X2)
                        | ~ related(X1,X3,X4)
                        | ~ element(X4,the_carrier(X1)) )
                    & element(X3,the_carrier(X1)) ) )
              & ( ! [X3] :
                    ( ? [X4] :
                        ( in(apply_netmap(X0,X1,X4),X2)
                        & related(X1,X3,X4)
                        & element(X4,the_carrier(X1)) )
                    | ~ element(X3,the_carrier(X1)) )
                | ~ is_often_in(X0,X1,X2) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f87]) ).

tff(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( is_often_in(X0,X1,X2)
            <=> ! [X3] :
                  ( ? [X4] :
                      ( in(apply_netmap(X0,X1,X4),X2)
                      & related(X1,X3,X4)
                      & element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X1)) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f86]) ).

tff(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( is_often_in(X0,X1,X2)
            <=> ! [X3] :
                  ( ? [X4] :
                      ( in(apply_netmap(X0,X1,X4),X2)
                      & related(X1,X3,X4)
                      & element(X4,the_carrier(X1)) )
                  | ~ element(X3,the_carrier(X1)) ) )
          | ~ net_str(X1,X0)
          | empty_carrier(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( net_str(X1,X0)
            & ~ empty_carrier(X1) )
         => ! [X2] :
              ( is_often_in(X0,X1,X2)
            <=> ! [X3] :
                  ( element(X3,the_carrier(X1))
                 => ? [X4] :
                      ( in(apply_netmap(X0,X1,X4),X2)
                      & related(X1,X3,X4)
                      & element(X4,the_carrier(X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6OmOrhAmu/Vampire---4.8_19107',d12_waybel_0) ).

tff(f195,plain,
    ( ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
    | spl15_1 ),
    inference(avatar_component_clause,[],[f193]) ).

tff(f199,plain,
    ( ~ spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f191,f197,f193]) ).

tff(f191,plain,
    ! [X0: $i] :
      ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0))
      | ~ element(X0,the_carrier(sK1))
      | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1)) ),
    inference(subsumption_resolution,[],[f190,f120]) ).

tff(f190,plain,
    ! [X0: $i] :
      ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0))
      | ~ element(X0,the_carrier(sK1))
      | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
      | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f189,f157]) ).

tff(f189,plain,
    ! [X0: $i] :
      ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0))
      | ~ element(X0,the_carrier(sK1))
      | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
      | ~ rel_str(sK1)
      | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f185,f121]) ).

tff(f185,plain,
    ! [X0: $i] :
      ( ~ element(sK13(sK1,sK9(sK0,sK1,sK2),X0),the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),sK13(sK1,sK9(sK0,sK1,sK2),X0))
      | ~ element(X0,the_carrier(sK1))
      | ~ element(sK9(sK0,sK1,sK2),the_carrier(sK1))
      | ~ directed_relstr(sK1)
      | ~ rel_str(sK1)
      | empty_carrier(sK1) ),
    inference(resolution,[],[f184,f145]) ).

tff(f145,plain,
    ! [X0: $i,X4: $i,X5: $i] :
      ( related(X0,X4,sK13(X0,X4,X5))
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ directed_relstr(X0)
      | ~ rel_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f184,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0) ),
    inference(subsumption_resolution,[],[f183,f118]) ).

tff(f183,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f182,f119]) ).

tff(f182,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f181,f120]) ).

tff(f181,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f180,f122]) ).

tff(f180,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | ~ net_str(sK1,sK0)
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f179,f123]) ).

tff(f179,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | ~ is_eventually_in(sK0,sK1,sK2)
      | ~ net_str(sK1,sK0)
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(duplicate_literal_removal,[],[f178]) ).

tff(f178,plain,
    ! [X0: $i] :
      ( ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ related(sK1,sK8(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ is_eventually_in(sK0,sK1,sK2)
      | ~ net_str(sK1,sK0)
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(resolution,[],[f176,f135]) ).

tff(f135,plain,
    ! [X2: $i,X0: $i,X1: $i,X6: $i] :
      ( in(apply_netmap(X0,X1,X6),X2)
      | ~ related(X1,sK8(X0,X1,X2),X6)
      | ~ element(X6,the_carrier(X1))
      | ~ is_eventually_in(X0,X1,X2)
      | ~ net_str(X1,X0)
      | empty_carrier(X1)
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f176,plain,
    ! [X0: $i] :
      ( ~ in(apply_netmap(sK0,sK1,X0),sK2)
      | ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1)) ),
    inference(subsumption_resolution,[],[f175,f118]) ).

tff(f175,plain,
    ! [X0: $i] :
      ( ~ in(apply_netmap(sK0,sK1,X0),sK2)
      | ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f174,f119]) ).

tff(f174,plain,
    ! [X0: $i] :
      ( ~ in(apply_netmap(sK0,sK1,X0),sK2)
      | ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f173,f120]) ).

tff(f173,plain,
    ! [X0: $i] :
      ( ~ in(apply_netmap(sK0,sK1,X0),sK2)
      | ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(subsumption_resolution,[],[f172,f122]) ).

tff(f172,plain,
    ! [X0: $i] :
      ( ~ in(apply_netmap(sK0,sK1,X0),sK2)
      | ~ related(sK1,sK9(sK0,sK1,sK2),X0)
      | ~ element(X0,the_carrier(sK1))
      | ~ net_str(sK1,sK0)
      | empty_carrier(sK1)
      | ~ one_sorted_str(sK0)
      | empty_carrier(sK0) ),
    inference(resolution,[],[f143,f124]) ).

tff(f143,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( is_often_in(X0,X1,X2)
      | ~ in(apply_netmap(X0,X1,X4),X2)
      | ~ related(X1,sK9(X0,X1,X2),X4)
      | ~ element(X4,the_carrier(X1))
      | ~ net_str(X1,X0)
      | empty_carrier(X1)
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 11:36:25 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.W6OmOrhAmu/Vampire---4.8_19107
% 0.62/0.79  % (19265)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)
% 0.62/0.79  % (19270)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)
% 0.62/0.79  % (19268)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (19269)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)
% 0.62/0.79  % (19267)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)
% 0.62/0.79  % (19271)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)
% 0.62/0.79  % (19272)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)
% 0.62/0.79  % (19273)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)
% 0.62/0.79  % (19271)Refutation not found, incomplete strategy% (19271)------------------------------
% 0.62/0.79  % (19271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (19271)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (19271)Memory used [KB]: 1110
% 0.62/0.79  % (19271)Time elapsed: 0.003 s
% 0.62/0.79  % (19271)Instructions burned: 4 (million)
% 0.62/0.79  % (19271)------------------------------
% 0.62/0.79  % (19271)------------------------------
% 0.62/0.79  % (19269)Refutation not found, incomplete strategy% (19269)------------------------------
% 0.62/0.79  % (19269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (19269)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (19269)Memory used [KB]: 1063
% 0.62/0.79  % (19269)Time elapsed: 0.004 s
% 0.62/0.79  % (19269)Instructions burned: 5 (million)
% 0.62/0.79  % (19265)First to succeed.
% 0.62/0.79  % (19269)------------------------------
% 0.62/0.79  % (19269)------------------------------
% 0.62/0.79  % (19273)Also succeeded, but the first one will report.
% 0.62/0.80  % (19265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19264"
% 0.62/0.80  % (19265)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (19265)------------------------------
% 0.62/0.80  % (19265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (19265)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (19265)Memory used [KB]: 1166
% 0.62/0.80  % (19265)Time elapsed: 0.005 s
% 0.62/0.80  % (19265)Instructions burned: 12 (million)
% 0.62/0.80  % (19264)Success in time 0.433 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------