TSTP Solution File: SEU361+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU361+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 : n006.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 09:22:43 EDT 2024

% Result   : Theorem 0.70s 0.90s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   63 (  10 unt;   0 def)
%            Number of atoms       :  276 (  14 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  337 ( 124   ~; 107   |;  72   &)
%                                         (   3 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   4 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   74 (  63   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f181,f189,f213]) ).

fof(f213,plain,
    ~ spl9_6,
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | ~ spl9_6 ),
    inference(subsumption_resolution,[],[f211,f73]) ).

fof(f73,plain,
    rel_str(sK0),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ related(sK0,bottom_of_relstr(sK0),sK1)
    & element(sK1,the_carrier(sK0))
    & rel_str(sK0)
    & lower_bounded_relstr(sK0)
    & antisymmetric_relstr(sK0)
    & ~ empty_carrier(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f54,f53]) ).

fof(f53,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ related(X0,bottom_of_relstr(X0),X1)
            & element(X1,the_carrier(X0)) )
        & rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( ~ related(sK0,bottom_of_relstr(sK0),X1)
          & element(X1,the_carrier(sK0)) )
      & rel_str(sK0)
      & lower_bounded_relstr(sK0)
      & antisymmetric_relstr(sK0)
      & ~ empty_carrier(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ( ? [X1] :
        ( ~ related(sK0,bottom_of_relstr(sK0),X1)
        & element(X1,the_carrier(sK0)) )
   => ( ~ related(sK0,bottom_of_relstr(sK0),sK1)
      & element(sK1,the_carrier(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ related(X0,bottom_of_relstr(X0),X1)
          & element(X1,the_carrier(X0)) )
      & rel_str(X0)
      & lower_bounded_relstr(X0)
      & antisymmetric_relstr(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ related(X0,bottom_of_relstr(X0),X1)
          & element(X1,the_carrier(X0)) )
      & rel_str(X0)
      & lower_bounded_relstr(X0)
      & antisymmetric_relstr(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,negated_conjecture,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & lower_bounded_relstr(X0)
          & antisymmetric_relstr(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => related(X0,bottom_of_relstr(X0),X1) ) ),
    inference(negated_conjecture,[],[f24]) ).

fof(f24,conjecture,
    ! [X0] :
      ( ( rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => related(X0,bottom_of_relstr(X0),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',t44_yellow_0) ).

fof(f211,plain,
    ( ~ rel_str(sK0)
    | ~ spl9_6 ),
    inference(subsumption_resolution,[],[f210,f74]) ).

fof(f74,plain,
    element(sK1,the_carrier(sK0)),
    inference(cnf_transformation,[],[f55]) ).

fof(f210,plain,
    ( ~ element(sK1,the_carrier(sK0))
    | ~ rel_str(sK0)
    | ~ spl9_6 ),
    inference(resolution,[],[f206,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( relstr_set_smaller(X0,empty_set,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( relstr_set_smaller(X0,empty_set,X1)
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => relstr_set_smaller(X0,empty_set,X1) ) ),
    inference(pure_predicate_removal,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ( relstr_element_smaller(X0,empty_set,X1)
            & relstr_set_smaller(X0,empty_set,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',t6_yellow_0) ).

fof(f206,plain,
    ( ~ relstr_set_smaller(sK0,empty_set,sK1)
    | ~ spl9_6 ),
    inference(subsumption_resolution,[],[f204,f74]) ).

fof(f204,plain,
    ( ~ relstr_set_smaller(sK0,empty_set,sK1)
    | ~ element(sK1,the_carrier(sK0))
    | ~ spl9_6 ),
    inference(resolution,[],[f175,f75]) ).

fof(f75,plain,
    ~ related(sK0,bottom_of_relstr(sK0),sK1),
    inference(cnf_transformation,[],[f55]) ).

fof(f175,plain,
    ( ! [X0] :
        ( related(sK0,bottom_of_relstr(sK0),X0)
        | ~ relstr_set_smaller(sK0,empty_set,X0)
        | ~ element(X0,the_carrier(sK0)) )
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl9_6
  <=> ! [X0] :
        ( related(sK0,bottom_of_relstr(sK0),X0)
        | ~ relstr_set_smaller(sK0,empty_set,X0)
        | ~ element(X0,the_carrier(sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f189,plain,
    spl9_5,
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | spl9_5 ),
    inference(subsumption_resolution,[],[f187,f70]) ).

fof(f70,plain,
    ~ empty_carrier(sK0),
    inference(cnf_transformation,[],[f55]) ).

fof(f187,plain,
    ( empty_carrier(sK0)
    | spl9_5 ),
    inference(subsumption_resolution,[],[f186,f71]) ).

fof(f71,plain,
    antisymmetric_relstr(sK0),
    inference(cnf_transformation,[],[f55]) ).

fof(f186,plain,
    ( ~ antisymmetric_relstr(sK0)
    | empty_carrier(sK0)
    | spl9_5 ),
    inference(subsumption_resolution,[],[f185,f72]) ).

fof(f72,plain,
    lower_bounded_relstr(sK0),
    inference(cnf_transformation,[],[f55]) ).

fof(f185,plain,
    ( ~ lower_bounded_relstr(sK0)
    | ~ antisymmetric_relstr(sK0)
    | empty_carrier(sK0)
    | spl9_5 ),
    inference(subsumption_resolution,[],[f182,f73]) ).

fof(f182,plain,
    ( ~ rel_str(sK0)
    | ~ lower_bounded_relstr(sK0)
    | ~ antisymmetric_relstr(sK0)
    | empty_carrier(sK0)
    | spl9_5 ),
    inference(resolution,[],[f172,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & ~ empty_carrier(X0) )
     => ex_sup_of_relstr_set(X0,empty_set) ),
    inference(pure_predicate_removal,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & ~ empty_carrier(X0) )
     => ( ex_inf_of_relstr_set(X0,the_carrier(X0))
        & ex_sup_of_relstr_set(X0,empty_set) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',t42_yellow_0) ).

fof(f172,plain,
    ( ~ ex_sup_of_relstr_set(sK0,empty_set)
    | spl9_5 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl9_5
  <=> ex_sup_of_relstr_set(sK0,empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f181,plain,
    spl9_4,
    inference(avatar_contradiction_clause,[],[f180]) ).

fof(f180,plain,
    ( $false
    | spl9_4 ),
    inference(subsumption_resolution,[],[f178,f73]) ).

fof(f178,plain,
    ( ~ rel_str(sK0)
    | spl9_4 ),
    inference(resolution,[],[f168,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( element(bottom_of_relstr(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( element(bottom_of_relstr(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => element(bottom_of_relstr(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',dt_k3_yellow_0) ).

fof(f168,plain,
    ( ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
    | spl9_4 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl9_4
  <=> element(bottom_of_relstr(sK0),the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f176,plain,
    ( ~ spl9_4
    | ~ spl9_5
    | spl9_6 ),
    inference(avatar_split_clause,[],[f164,f174,f170,f166]) ).

fof(f164,plain,
    ! [X0] :
      ( related(sK0,bottom_of_relstr(sK0),X0)
      | ~ element(X0,the_carrier(sK0))
      | ~ ex_sup_of_relstr_set(sK0,empty_set)
      | ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
      | ~ relstr_set_smaller(sK0,empty_set,X0) ),
    inference(subsumption_resolution,[],[f160,f73]) ).

fof(f160,plain,
    ! [X0] :
      ( related(sK0,bottom_of_relstr(sK0),X0)
      | ~ element(X0,the_carrier(sK0))
      | ~ ex_sup_of_relstr_set(sK0,empty_set)
      | ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
      | ~ relstr_set_smaller(sK0,empty_set,X0)
      | ~ rel_str(sK0) ),
    inference(superposition,[],[f157,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( rel_str(X0)
     => bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',d11_yellow_0) ).

fof(f157,plain,
    ! [X0,X1] :
      ( related(sK0,join_on_relstr(sK0,X0),X1)
      | ~ element(X1,the_carrier(sK0))
      | ~ ex_sup_of_relstr_set(sK0,X0)
      | ~ element(join_on_relstr(sK0,X0),the_carrier(sK0))
      | ~ relstr_set_smaller(sK0,X0,X1) ),
    inference(subsumption_resolution,[],[f156,f73]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ relstr_set_smaller(sK0,X0,X1)
      | ~ element(X1,the_carrier(sK0))
      | ~ ex_sup_of_relstr_set(sK0,X0)
      | ~ element(join_on_relstr(sK0,X0),the_carrier(sK0))
      | ~ rel_str(sK0)
      | related(sK0,join_on_relstr(sK0,X0),X1) ),
    inference(resolution,[],[f105,f71]) ).

fof(f105,plain,
    ! [X2,X0,X4] :
      ( ~ antisymmetric_relstr(X0)
      | ~ relstr_set_smaller(X0,X2,X4)
      | ~ element(X4,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X2)
      | ~ element(join_on_relstr(X0,X2),the_carrier(X0))
      | ~ rel_str(X0)
      | related(X0,join_on_relstr(X0,X2),X4) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1,X4] :
      ( related(X0,X1,X4)
      | ~ relstr_set_smaller(X0,X2,X4)
      | ~ element(X4,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X2)
      | join_on_relstr(X0,X2) != X1
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 )
                | ( ~ related(X0,X1,sK2(X0,X1,X2))
                  & relstr_set_smaller(X0,X2,sK2(X0,X1,X2))
                  & element(sK2(X0,X1,X2),the_carrier(X0)) )
                | ~ relstr_set_smaller(X0,X2,X1) )
              & ( ( ! [X4] :
                      ( related(X0,X1,X4)
                      | ~ relstr_set_smaller(X0,X2,X4)
                      | ~ element(X4,the_carrier(X0)) )
                  & relstr_set_smaller(X0,X2,X1) )
                | ~ ex_sup_of_relstr_set(X0,X2)
                | join_on_relstr(X0,X2) != X1 ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ related(X0,X1,X3)
          & relstr_set_smaller(X0,X2,X3)
          & element(X3,the_carrier(X0)) )
     => ( ~ related(X0,X1,sK2(X0,X1,X2))
        & relstr_set_smaller(X0,X2,sK2(X0,X1,X2))
        & element(sK2(X0,X1,X2),the_carrier(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 )
                | ? [X3] :
                    ( ~ related(X0,X1,X3)
                    & relstr_set_smaller(X0,X2,X3)
                    & element(X3,the_carrier(X0)) )
                | ~ relstr_set_smaller(X0,X2,X1) )
              & ( ( ! [X4] :
                      ( related(X0,X1,X4)
                      | ~ relstr_set_smaller(X0,X2,X4)
                      | ~ element(X4,the_carrier(X0)) )
                  & relstr_set_smaller(X0,X2,X1) )
                | ~ ex_sup_of_relstr_set(X0,X2)
                | join_on_relstr(X0,X2) != X1 ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 )
                | ? [X3] :
                    ( ~ related(X0,X1,X3)
                    & relstr_set_smaller(X0,X2,X3)
                    & element(X3,the_carrier(X0)) )
                | ~ relstr_set_smaller(X0,X2,X1) )
              & ( ( ! [X4] :
                      ( related(X0,X1,X4)
                      | ~ relstr_set_smaller(X0,X2,X4)
                      | ~ element(X4,the_carrier(X0)) )
                  & relstr_set_smaller(X0,X2,X1) )
                | ~ ex_sup_of_relstr_set(X0,X2)
                | join_on_relstr(X0,X2) != X1 ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ( rel_str(X0)
        & antisymmetric_relstr(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ( ( ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) )
                  & relstr_set_smaller(X0,X2,X1) )
               => ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 ) )
              & ( ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 )
               => ( ! [X4] :
                      ( element(X4,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X4)
                       => related(X0,X1,X4) ) )
                  & relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & antisymmetric_relstr(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ( ( ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) )
                  & relstr_set_smaller(X0,X2,X1) )
               => ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 ) )
              & ( ( ex_sup_of_relstr_set(X0,X2)
                  & join_on_relstr(X0,X2) = X1 )
               => ( ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) )
                  & relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ggpvudm48q/Vampire---4.8_8663',t30_yellow_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU361+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 : n006.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 11:24:34 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.ggpvudm48q/Vampire---4.8_8663
% 0.70/0.89  % (8893)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.70/0.89  % (8892)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.70/0.89  % (8894)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.89  % (8895)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.89  % (8896)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.70/0.89  % (8897)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.89  % (8898)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.70/0.89  % (8899)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.70/0.89  % (8899)Refutation not found, incomplete strategy% (8899)------------------------------
% 0.70/0.89  % (8899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (8899)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (8899)Memory used [KB]: 1032
% 0.70/0.89  % (8899)Time elapsed: 0.003 s
% 0.70/0.89  % (8899)Instructions burned: 3 (million)
% 0.70/0.89  % (8892)Refutation not found, incomplete strategy% (8892)------------------------------
% 0.70/0.89  % (8892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (8895)Refutation not found, incomplete strategy% (8895)------------------------------
% 0.70/0.89  % (8895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (8895)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (8895)Memory used [KB]: 1032
% 0.70/0.89  % (8895)Time elapsed: 0.003 s
% 0.70/0.89  % (8895)Instructions burned: 4 (million)
% 0.70/0.89  % (8892)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (8892)Memory used [KB]: 1045
% 0.70/0.89  % (8896)Refutation not found, incomplete strategy% (8896)------------------------------
% 0.70/0.89  % (8896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (8896)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (8896)Memory used [KB]: 1053
% 0.70/0.89  % (8896)Time elapsed: 0.003 s
% 0.70/0.89  % (8896)Instructions burned: 4 (million)
% 0.70/0.89  % (8892)Time elapsed: 0.004 s
% 0.70/0.89  % (8892)Instructions burned: 4 (million)
% 0.70/0.89  % (8897)Refutation not found, incomplete strategy% (8897)------------------------------
% 0.70/0.89  % (8897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (8897)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (8897)Memory used [KB]: 1054
% 0.70/0.89  % (8897)Time elapsed: 0.003 s
% 0.70/0.89  % (8897)Instructions burned: 4 (million)
% 0.70/0.89  % (8899)------------------------------
% 0.70/0.89  % (8899)------------------------------
% 0.70/0.89  % (8895)------------------------------
% 0.70/0.89  % (8895)------------------------------
% 0.70/0.90  % (8896)------------------------------
% 0.70/0.90  % (8896)------------------------------
% 0.70/0.90  % (8897)------------------------------
% 0.70/0.90  % (8897)------------------------------
% 0.70/0.90  % (8892)------------------------------
% 0.70/0.90  % (8892)------------------------------
% 0.70/0.90  % (8898)Refutation not found, incomplete strategy% (8898)------------------------------
% 0.70/0.90  % (8898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (8898)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (8898)Memory used [KB]: 1053
% 0.70/0.90  % (8898)Time elapsed: 0.004 s
% 0.70/0.90  % (8898)Instructions burned: 6 (million)
% 0.70/0.90  % (8898)------------------------------
% 0.70/0.90  % (8898)------------------------------
% 0.70/0.90  % (8894)First to succeed.
% 0.70/0.90  % (8900)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.70/0.90  % (8902)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.70/0.90  % (8901)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.70/0.90  % (8904)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.70/0.90  % (8903)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.70/0.90  % (8894)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8873"
% 0.70/0.90  % (8894)Refutation found. Thanks to Tanya!
% 0.70/0.90  % SZS status Theorem for Vampire---4
% 0.70/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.90  % (8894)------------------------------
% 0.70/0.90  % (8894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (8894)Termination reason: Refutation
% 0.70/0.90  
% 0.70/0.90  % (8894)Memory used [KB]: 1085
% 0.70/0.90  % (8894)Time elapsed: 0.008 s
% 0.70/0.90  % (8894)Instructions burned: 11 (million)
% 0.70/0.90  % (8873)Success in time 0.538 s
% 0.70/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------