TSTP Solution File: SEU135+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU135+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 03:50:11 EDT 2024

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   61 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :  620 (  34 equ)
%            Maximal formula atoms :   14 (  10 avg)
%            Number of connectives :  314 ( 120   ~; 135   |;  49   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  366 ( 366 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  119 ( 106   !;  12   ?;  57   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ4_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f136,plain,
    $false,
    inference(avatar_sat_refutation,[],[f113,f122,f129,f135]) ).

tff(f135,plain,
    ( spl5_3
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f134]) ).

tff(f134,plain,
    ( $false
    | spl5_3
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f133,f111]) ).

tff(f111,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f110]) ).

tff(f110,plain,
    ( spl5_4
  <=> in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

tff(f133,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl5_3 ),
    inference(subsumption_resolution,[],[f132,f123]) ).

tff(f123,plain,
    ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0),
    inference(subsumption_resolution,[],[f116,f69]) ).

tff(f69,plain,
    ! [X0: $i,X1: $i,X4: $i] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f57]) ).

tff(f57,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | ( set_union2(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0,X1,X2] :
      ( ( ( set_union2(X0,X1) = X2 )
        | ( ( ( ~ in(sK3(X0,X1,X2),X1)
              & ~ in(sK3(X0,X1,X2),X0) )
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( in(sK3(X0,X1,X2),X1)
            | in(sK3(X0,X1,X2),X0)
            | in(sK3(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,[sK3])],[f40,f41]) ).

tff(f41,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK3(X0,X1,X2),X1)
            & ~ in(sK3(X0,X1,X2),X0) )
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( in(sK3(X0,X1,X2),X1)
          | in(sK3(X0,X1,X2),X0)
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f40,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,[],[f39]) ).

tff(f39,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,[],[f38]) ).

tff(f38,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]) ).

tff(f4,axiom,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2 )
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4NPTAHtu/Vampire---4.8_31513',d2_xboole_0) ).

tff(f116,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    inference(resolution,[],[f83,f72]) ).

tff(f72,plain,
    ~ sQ4_eqProxy($i,set_union2(sK0,sK1),set_union2(sK0,set_difference(sK1,sK0))),
    inference(equality_proxy_replacement,[],[f43,f71]) ).

tff(f71,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ4_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).

tff(f43,plain,
    set_union2(sK0,sK1) != set_union2(sK0,set_difference(sK1,sK0)),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    set_union2(sK0,sK1) != set_union2(sK0,set_difference(sK1,sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f31]) ).

tff(f31,plain,
    ( ? [X0,X1] : ( set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0)) )
   => ( set_union2(sK0,sK1) != set_union2(sK0,set_difference(sK1,sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f26,plain,
    ? [X0,X1] : ( set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0)) ),
    inference(ennf_transformation,[],[f19]) ).

tff(f19,negated_conjecture,
    ~ ! [X0,X1] : ( set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)) ),
    inference(negated_conjecture,[],[f18]) ).

tff(f18,conjecture,
    ! [X0,X1] : ( set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4NPTAHtu/Vampire---4.8_31513',t39_xboole_1) ).

tff(f83,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sQ4_eqProxy($i,set_union2(X0,X1),X2)
      | ~ in(sK3(X0,X1,X2),X0)
      | ~ in(sK3(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f60,f71]) ).

tff(f60,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( set_union2(X0,X1) = X2 )
      | ~ in(sK3(X0,X1,X2),X0)
      | ~ in(sK3(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f132,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl5_3 ),
    inference(resolution,[],[f131,f65]) ).

tff(f65,plain,
    ! [X0: $i,X1: $i,X4: $i] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f52]) ).

tff(f52,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | ( set_difference(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f37,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])],[f35,f36]) ).

tff(f36,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,[]) ).

tff(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) ) ) )
      & ( ! [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,[],[f34]) ).

tff(f34,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,[],[f33]) ).

tff(f33,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]) ).

tff(f6,axiom,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2 )
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4NPTAHtu/Vampire---4.8_31513',d4_xboole_0) ).

tff(f131,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | spl5_3 ),
    inference(resolution,[],[f108,f68]) ).

tff(f68,plain,
    ! [X0: $i,X1: $i,X4: $i] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f58]) ).

tff(f58,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | ( set_union2(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f108,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | spl5_3 ),
    inference(avatar_component_clause,[],[f106]) ).

tff(f106,plain,
    ( spl5_3
  <=> in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

tff(f129,plain,
    ( ~ spl5_3
    | spl5_4 ),
    inference(avatar_contradiction_clause,[],[f128]) ).

tff(f128,plain,
    ( $false
    | ~ spl5_3
    | spl5_4 ),
    inference(subsumption_resolution,[],[f126,f112]) ).

tff(f112,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl5_4 ),
    inference(avatar_component_clause,[],[f110]) ).

tff(f126,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | ~ spl5_3 ),
    inference(resolution,[],[f125,f67]) ).

tff(f67,plain,
    ! [X0: $i,X1: $i,X4: $i] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f50]) ).

tff(f50,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | ( set_difference(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f125,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f124,f123]) ).

tff(f124,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | ~ spl5_3 ),
    inference(resolution,[],[f107,f70]) ).

tff(f70,plain,
    ! [X0: $i,X1: $i,X4: $i] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X0)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f56]) ).

tff(f56,plain,
    ! [X2: $i,X0: $i,X1: $i,X4: $i] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,X2)
      | ( set_union2(X0,X1) != X2 ) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f107,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f106]) ).

tff(f122,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f121,f110,f106]) ).

tff(f121,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    inference(subsumption_resolution,[],[f117,f69]) ).

tff(f117,plain,
    ( in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    inference(resolution,[],[f84,f72]) ).

tff(f84,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sQ4_eqProxy($i,set_union2(X0,X1),X2)
      | in(sK3(X0,X1,X2),X1)
      | in(sK3(X0,X1,X2),X0)
      | in(sK3(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f59,f71]) ).

tff(f59,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( set_union2(X0,X1) = X2 )
      | in(sK3(X0,X1,X2),X1)
      | in(sK3(X0,X1,X2),X0)
      | in(sK3(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f113,plain,
    ( ~ spl5_3
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f104,f110,f106]) ).

tff(f104,plain,
    ( ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | ~ in(sK3(sK0,sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    inference(resolution,[],[f82,f72]) ).

tff(f82,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sQ4_eqProxy($i,set_union2(X0,X1),X2)
      | ~ in(sK3(X0,X1,X2),X1)
      | ~ in(sK3(X0,X1,X2),X2) ),
    inference(equality_proxy_replacement,[],[f61,f71]) ).

tff(f61,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( set_union2(X0,X1) = X2 )
      | ~ in(sK3(X0,X1,X2),X1)
      | ~ in(sK3(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SEU135+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 16:21:26 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.JN4NPTAHtu/Vampire---4.8_31513
% 0.55/0.75  % (31770)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)
% 0.55/0.75  % (31764)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)
% 0.55/0.75  % (31767)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)
% 0.55/0.75  % (31765)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)
% 0.55/0.75  % (31766)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (31768)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)
% 0.55/0.75  % (31769)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)
% 0.55/0.75  % (31770)Refutation not found, incomplete strategy% (31770)------------------------------
% 0.55/0.75  % (31770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (31770)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31770)Memory used [KB]: 962
% 0.55/0.75  % (31770)Time elapsed: 0.002 s
% 0.55/0.75  % (31770)Instructions burned: 3 (million)
% 0.55/0.75  % (31770)------------------------------
% 0.55/0.75  % (31770)------------------------------
% 0.55/0.75  % (31769)Refutation not found, incomplete strategy% (31769)------------------------------
% 0.55/0.75  % (31769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (31769)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31769)Memory used [KB]: 1027
% 0.55/0.75  % (31769)Time elapsed: 0.003 s
% 0.55/0.75  % (31769)Instructions burned: 3 (million)
% 0.55/0.75  % (31769)------------------------------
% 0.55/0.75  % (31769)------------------------------
% 0.55/0.75  % (31767)Refutation not found, incomplete strategy% (31767)------------------------------
% 0.55/0.75  % (31767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (31767)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31767)Memory used [KB]: 973
% 0.55/0.75  % (31767)Time elapsed: 0.003 s
% 0.55/0.75  % (31767)Instructions burned: 3 (million)
% 0.55/0.75  % (31767)------------------------------
% 0.55/0.75  % (31767)------------------------------
% 0.55/0.75  % (31771)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)
% 0.55/0.75  % (31764)First to succeed.
% 0.55/0.76  % (31768)Also succeeded, but the first one will report.
% 0.55/0.76  % (31764)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Theorem for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (31764)------------------------------
% 0.55/0.76  % (31764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (31764)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (31764)Memory used [KB]: 1062
% 0.55/0.76  % (31764)Time elapsed: 0.006 s
% 0.55/0.76  % (31764)Instructions burned: 7 (million)
% 0.55/0.76  % (31764)------------------------------
% 0.55/0.76  % (31764)------------------------------
% 0.55/0.76  % (31760)Success in time 0.374 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------