TSTP Solution File: SEU136+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU136+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 : n025.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 09:20:25 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   60 (   8 unt;   0 def)
%            Number of atoms       :  255 (  34 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  316 ( 121   ~; 136   |;  49   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  117 ( 105   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f141,plain,
    $false,
    inference(avatar_sat_refutation,[],[f119,f122,f132,f140]) ).

fof(f140,plain,
    ( spl7_3
    | ~ spl7_4 ),
    inference(avatar_contradiction_clause,[],[f139]) ).

fof(f139,plain,
    ( $false
    | spl7_3
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f137,f118]) ).

fof(f118,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl7_4
  <=> in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f137,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | spl7_3 ),
    inference(resolution,[],[f136,f80]) ).

fof(f80,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f70]) ).

fof(f70,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK5(X0,X1,X2),X1)
              & ~ in(sK5(X0,X1,X2),X0) )
            | ~ in(sK5(X0,X1,X2),X2) )
          & ( in(sK5(X0,X1,X2),X1)
            | in(sK5(X0,X1,X2),X0)
            | in(sK5(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK5(X0,X1,X2),X1)
            & ~ in(sK5(X0,X1,X2),X0) )
          | ~ in(sK5(X0,X1,X2),X2) )
        & ( in(sK5(X0,X1,X2),X1)
          | in(sK5(X0,X1,X2),X0)
          | in(sK5(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.298qTqWUgN/Vampire---4.8_8862',d2_xboole_0) ).

fof(f136,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_union2(sK0,sK1))
    | spl7_3 ),
    inference(subsumption_resolution,[],[f135,f120]) ).

fof(f120,plain,
    ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1),
    inference(subsumption_resolution,[],[f100,f77]) ).

fof(f77,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f57]) ).

fof(f57,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ( ( in(sK2(X0,X1,X2),X1)
            | ~ in(sK2(X0,X1,X2),X0)
            | ~ in(sK2(X0,X1,X2),X2) )
          & ( ( ~ in(sK2(X0,X1,X2),X1)
              & in(sK2(X0,X1,X2),X0) )
            | in(sK2(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( ~ in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( in(sK2(X0,X1,X2),X1)
          | ~ in(sK2(X0,X1,X2),X0)
          | ~ in(sK2(X0,X1,X2),X2) )
        & ( ( ~ in(sK2(X0,X1,X2),X1)
            & in(sK2(X0,X1,X2),X0) )
          | in(sK2(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.298qTqWUgN/Vampire---4.8_8862',d4_xboole_0) ).

fof(f100,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1)
    | in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1)) ),
    inference(resolution,[],[f83,f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( sQ6_eqProxy(set_difference(X0,X1),X2)
      | ~ in(sK2(X0,X1,X2),X1)
      | in(sK2(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f60,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( sQ6_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( set_difference(X0,X1) = X2
      | ~ in(sK2(X0,X1,X2),X1)
      | in(sK2(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f83,plain,
    ~ sQ6_eqProxy(set_difference(sK0,sK1),set_difference(set_union2(sK0,sK1),sK1)),
    inference(equality_proxy_replacement,[],[f49,f82]) ).

fof(f49,plain,
    set_difference(sK0,sK1) != set_difference(set_union2(sK0,sK1),sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    set_difference(sK0,sK1) != set_difference(set_union2(sK0,sK1),sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f33]) ).

fof(f33,plain,
    ( ? [X0,X1] : set_difference(X0,X1) != set_difference(set_union2(X0,X1),X1)
   => set_difference(sK0,sK1) != set_difference(set_union2(sK0,sK1),sK1) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1] : set_difference(X0,X1) != set_difference(set_union2(X0,X1),X1),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X0,X1] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X0,X1] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
    file('/export/starexec/sandbox2/tmp/tmp.298qTqWUgN/Vampire---4.8_8862',t40_xboole_1) ).

fof(f135,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1)
    | ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_union2(sK0,sK1))
    | spl7_3 ),
    inference(resolution,[],[f113,f76]) ).

fof(f76,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f58]) ).

fof(f58,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f113,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1))
    | spl7_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl7_3
  <=> in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f132,plain,
    ( ~ spl7_3
    | spl7_4 ),
    inference(avatar_contradiction_clause,[],[f131]) ).

fof(f131,plain,
    ( $false
    | ~ spl7_3
    | spl7_4 ),
    inference(subsumption_resolution,[],[f130,f120]) ).

fof(f130,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1)
    | ~ spl7_3
    | spl7_4 ),
    inference(subsumption_resolution,[],[f127,f117]) ).

fof(f117,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | spl7_4 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f127,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1)
    | ~ spl7_3 ),
    inference(resolution,[],[f123,f81]) ).

fof(f81,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X0)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f69]) ).

fof(f69,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f123,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_union2(sK0,sK1))
    | ~ spl7_3 ),
    inference(resolution,[],[f114,f78]) ).

fof(f78,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f56]) ).

fof(f56,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f114,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1))
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f122,plain,
    ( ~ spl7_3
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f121,f116,f112]) ).

fof(f121,plain,
    ( ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1)) ),
    inference(subsumption_resolution,[],[f101,f120]) ).

fof(f101,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK1)
    | ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | ~ in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1)) ),
    inference(resolution,[],[f83,f88]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( sQ6_eqProxy(set_difference(X0,X1),X2)
      | in(sK2(X0,X1,X2),X1)
      | ~ in(sK2(X0,X1,X2),X0)
      | ~ in(sK2(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f61,f82]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( set_difference(X0,X1) = X2
      | in(sK2(X0,X1,X2),X1)
      | ~ in(sK2(X0,X1,X2),X0)
      | ~ in(sK2(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f119,plain,
    ( spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f99,f116,f112]) ).

fof(f99,plain,
    ( in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),sK0)
    | in(sK2(sK0,sK1,set_difference(set_union2(sK0,sK1),sK1)),set_difference(set_union2(sK0,sK1),sK1)) ),
    inference(resolution,[],[f83,f90]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( sQ6_eqProxy(set_difference(X0,X1),X2)
      | in(sK2(X0,X1,X2),X0)
      | in(sK2(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f59,f82]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( set_difference(X0,X1) = X2
      | in(sK2(X0,X1,X2),X0)
      | in(sK2(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU136+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.14  % 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 : n025.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 11:49:44 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.298qTqWUgN/Vampire---4.8_8862
% 0.57/0.74  % (9248)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (9242)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (9244)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (9243)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (9245)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (9246)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (9248)Refutation not found, incomplete strategy% (9248)------------------------------
% 0.57/0.74  % (9248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (9248)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (9248)Memory used [KB]: 962
% 0.57/0.74  % (9248)Time elapsed: 0.002 s
% 0.57/0.74  % (9248)Instructions burned: 3 (million)
% 0.57/0.74  % (9249)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (9248)------------------------------
% 0.57/0.74  % (9248)------------------------------
% 0.57/0.74  % (9247)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (9245)Refutation not found, incomplete strategy% (9245)------------------------------
% 0.57/0.74  % (9245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (9245)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (9245)Memory used [KB]: 982
% 0.57/0.74  % (9245)Time elapsed: 0.003 s
% 0.57/0.74  % (9245)Instructions burned: 3 (million)
% 0.57/0.74  % (9245)------------------------------
% 0.57/0.74  % (9245)------------------------------
% 0.57/0.74  % (9249)First to succeed.
% 0.57/0.75  % (9242)Also succeeded, but the first one will report.
% 0.57/0.75  % (9246)Also succeeded, but the first one will report.
% 0.57/0.75  % (9251)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 (2996ds/55Mi)
% 0.57/0.75  % (9247)Refutation not found, incomplete strategy% (9247)------------------------------
% 0.57/0.75  % (9247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9247)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9247)Memory used [KB]: 1027
% 0.57/0.75  % (9247)Time elapsed: 0.004 s
% 0.57/0.75  % (9247)Instructions burned: 3 (million)
% 0.57/0.75  % (9249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9073"
% 0.57/0.75  % (9247)------------------------------
% 0.57/0.75  % (9247)------------------------------
% 0.57/0.75  % (9249)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (9249)------------------------------
% 0.57/0.75  % (9249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9249)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (9249)Memory used [KB]: 1063
% 0.57/0.75  % (9249)Time elapsed: 0.005 s
% 0.57/0.75  % (9249)Instructions burned: 6 (million)
% 0.57/0.75  % (9073)Success in time 0.383 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------