TSTP Solution File: NUM547+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM547+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n005.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 03:31:59 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :  772 (  46 equ)
%            Maximal formula atoms :   43 (  42 avg)
%            Number of connectives :  389 ( 104   ~;  80   |; 170   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  469 ( 469 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   6 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   80 (  57   !;  22   ?;   2   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_9,type,
    sQ11_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f316,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f195]) ).

tff(f195,plain,
    ! [X0: $i] : ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f134]) ).

tff(f134,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
      & ( ( sbrdtbr0(X0) != xk )
        | ( ~ aSubsetOf0(X0,xS)
          & ( ( ~ aElementOf0(sK4(X0),xS)
              & aElementOf0(sK4(X0),X0) )
            | ~ aSet0(X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f73,f133]) ).

tff(f133,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ aElementOf0(X1,xS)
          & aElementOf0(X1,X0) )
     => ( ~ aElementOf0(sK4(X0),xS)
        & aElementOf0(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f73,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
      & ( ( sbrdtbr0(X0) != xk )
        | ( ~ aSubsetOf0(X0,xS)
          & ( ? [X1] :
                ( ~ aElementOf0(X1,xS)
                & aElementOf0(X1,X0) )
            | ~ aSet0(X0) ) ) ) ),
    inference(ennf_transformation,[],[f66]) ).

tff(f66,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
        | ( ( sbrdtbr0(X0) = xk )
          & ( aSubsetOf0(X0,xS)
            | ( ! [X1] :
                  ( aElementOf0(X1,X0)
                 => aElementOf0(X1,xS) )
              & aSet0(X0) ) ) ) ),
    inference(negated_conjecture,[],[f65]) ).

tff(f65,conjecture,
    ? [X0] :
      ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
      | ( ( sbrdtbr0(X0) = xk )
        & ( aSubsetOf0(X0,xS)
          | ( ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSet0(X0) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vU5aA1r8FQ/Vampire---4.8_15517',m__) ).

tff(f189,plain,
    aElementOf0(sK0,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f132]) ).

tff(f132,plain,
    ( ( slcrc0 != slbdtsldtrb0(xS,xk) )
    & aElementOf0(sK0,slbdtsldtrb0(xS,xk))
    & ! [X1] :
        ( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X1) != xk )
          | ( ~ aSubsetOf0(X1,xS)
            & ( ( ~ aElementOf0(sK1(X1),xS)
                & aElementOf0(sK1(X1),X1) )
              | ~ aSet0(X1) ) ) )
        & ( ( ( sbrdtbr0(X1) = xk )
            & aSubsetOf0(X1,xS)
            & ! [X3] :
                ( aElementOf0(X3,xS)
                | ~ aElementOf0(X3,X1) )
            & aSet0(X1) )
          | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | ( xk != sbrdtbr0(X5) )
          | ( ~ aSubsetOf0(X5,xT)
            & ( ( ~ aElementOf0(sK2(X5),xT)
                & aElementOf0(sK2(X5),X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( ( xk = sbrdtbr0(X5) )
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk != sbrdtbr0(X8) )
          | ( ~ aSubsetOf0(X8,xS)
            & ( ( ~ aElementOf0(sK3(X8),xS)
                & aElementOf0(sK3(X8),X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( ( xk = sbrdtbr0(X8) )
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f127,f131,f130,f129,f128]) ).

tff(f128,plain,
    ( ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
   => aElementOf0(sK0,slbdtsldtrb0(xS,xk)) ),
    introduced(choice_axiom,[]) ).

tff(f129,plain,
    ! [X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,xS)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK1(X1),xS)
        & aElementOf0(sK1(X1),X1) ) ),
    introduced(choice_axiom,[]) ).

tff(f130,plain,
    ! [X5] :
      ( ? [X6] :
          ( ~ aElementOf0(X6,xT)
          & aElementOf0(X6,X5) )
     => ( ~ aElementOf0(sK2(X5),xT)
        & aElementOf0(sK2(X5),X5) ) ),
    introduced(choice_axiom,[]) ).

tff(f131,plain,
    ! [X8] :
      ( ? [X9] :
          ( ~ aElementOf0(X9,xS)
          & aElementOf0(X9,X8) )
     => ( ~ aElementOf0(sK3(X8),xS)
        & aElementOf0(sK3(X8),X8) ) ),
    introduced(choice_axiom,[]) ).

tff(f127,plain,
    ( ( slcrc0 != slbdtsldtrb0(xS,xk) )
    & ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
    & ! [X1] :
        ( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X1) != xk )
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X2] :
                  ( ~ aElementOf0(X2,xS)
                  & aElementOf0(X2,X1) )
              | ~ aSet0(X1) ) ) )
        & ( ( ( sbrdtbr0(X1) = xk )
            & aSubsetOf0(X1,xS)
            & ! [X3] :
                ( aElementOf0(X3,xS)
                | ~ aElementOf0(X3,X1) )
            & aSet0(X1) )
          | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | ( xk != sbrdtbr0(X5) )
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( ( xk = sbrdtbr0(X5) )
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk != sbrdtbr0(X8) )
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( ( xk = sbrdtbr0(X8) )
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f72]) ).

tff(f72,plain,
    ( ( slcrc0 != slbdtsldtrb0(xS,xk) )
    & ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
    & ! [X0] :
        ( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) != xk )
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) )
        & ( ( ( sbrdtbr0(X0) = xk )
            & aSubsetOf0(X0,xS)
            & ! [X2] :
                ( aElementOf0(X2,xS)
                | ~ aElementOf0(X2,X0) )
            & aSet0(X0) )
          | ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | ( xk != sbrdtbr0(X5) )
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( ( xk = sbrdtbr0(X5) )
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk != sbrdtbr0(X8) )
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( ( xk = sbrdtbr0(X8) )
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(flattening,[],[f71]) ).

tff(f71,plain,
    ( ( slcrc0 != slbdtsldtrb0(xS,xk) )
    & ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
    & ! [X0] :
        ( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) != xk )
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) )
        & ( ( ( sbrdtbr0(X0) = xk )
            & aSubsetOf0(X0,xS)
            & ! [X2] :
                ( aElementOf0(X2,xS)
                | ~ aElementOf0(X2,X0) )
            & aSet0(X0) )
          | ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | ( xk != sbrdtbr0(X5) )
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( ( xk = sbrdtbr0(X5) )
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk != sbrdtbr0(X8) )
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( ( xk = sbrdtbr0(X8) )
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(ennf_transformation,[],[f67]) ).

tff(f67,plain,
    ( ~ ( ! [X0] :
            ( ( ( ( sbrdtbr0(X0) = xk )
                & ( aSubsetOf0(X0,xS)
                  | ( ! [X1] :
                        ( aElementOf0(X1,X0)
                       => aElementOf0(X1,xS) )
                    & aSet0(X0) ) ) )
             => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
            & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
             => ( ( sbrdtbr0(X0) = xk )
                & aSubsetOf0(X0,xS)
                & ! [X2] :
                    ( aElementOf0(X2,X0)
                   => aElementOf0(X2,xS) )
                & aSet0(X0) ) ) )
       => ( ( slcrc0 = slbdtsldtrb0(xS,xk) )
          | ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xS,xk))
       => aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
    & ! [X5] :
        ( ( ( ( xk = sbrdtbr0(X5) )
            & ( aSubsetOf0(X5,xT)
              | ( ! [X6] :
                    ( aElementOf0(X6,X5)
                   => aElementOf0(X6,xT) )
                & aSet0(X5) ) ) )
         => aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
        & ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
         => ( ( xk = sbrdtbr0(X5) )
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,X5)
               => aElementOf0(X7,xT) )
            & aSet0(X5) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( ( ( xk = sbrdtbr0(X8) )
            & ( aSubsetOf0(X8,xS)
              | ( ! [X9] :
                    ( aElementOf0(X9,X8)
                   => aElementOf0(X9,xS) )
                & aSet0(X8) ) ) )
         => aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
        & ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
         => ( ( xk = sbrdtbr0(X8) )
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,X8)
               => aElementOf0(X10,xS) )
            & aSet0(X8) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f63]) ).

tff(f63,axiom,
    ( ~ ( ! [X0] :
            ( ( ( ( sbrdtbr0(X0) = xk )
                & ( aSubsetOf0(X0,xS)
                  | ( ! [X1] :
                        ( aElementOf0(X1,X0)
                       => aElementOf0(X1,xS) )
                    & aSet0(X0) ) ) )
             => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
            & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
             => ( ( sbrdtbr0(X0) = xk )
                & aSubsetOf0(X0,xS)
                & ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xS) )
                & aSet0(X0) ) ) )
       => ( ( slcrc0 = slbdtsldtrb0(xS,xk) )
          | ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
       => aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
    & ! [X0] :
        ( ( ( ( sbrdtbr0(X0) = xk )
            & ( aSubsetOf0(X0,xT)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xT) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
        & ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
         => ( ( sbrdtbr0(X0) = xk )
            & aSubsetOf0(X0,xT)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xT) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( ( ( sbrdtbr0(X0) = xk )
            & ( aSubsetOf0(X0,xS)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xS) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
         => ( ( sbrdtbr0(X0) = xk )
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox2/tmp/tmp.vU5aA1r8FQ/Vampire---4.8_15517',m__2227) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM547+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % 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
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 16:52:56 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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.vU5aA1r8FQ/Vampire---4.8_15517
% 0.60/0.80  % (15630)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)
% 0.60/0.80  % (15629)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)
% 0.60/0.80  % (15627)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (15628)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)
% 0.60/0.80  % (15625)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)
% 0.60/0.80  % (15626)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)
% 0.60/0.80  % (15632)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)
% 0.60/0.80  % (15631)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)
% 0.60/0.80  % (15625)First to succeed.
% 0.60/0.80  % (15628)Also succeeded, but the first one will report.
% 0.60/0.80  % (15627)Also succeeded, but the first one will report.
% 0.60/0.80  % (15625)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (15625)------------------------------
% 0.60/0.80  % (15625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (15625)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (15625)Memory used [KB]: 1137
% 0.60/0.80  % (15625)Time elapsed: 0.006 s
% 0.60/0.80  % (15625)Instructions burned: 9 (million)
% 0.60/0.80  % (15625)------------------------------
% 0.60/0.80  % (15625)------------------------------
% 0.60/0.80  % (15624)Success in time 0.466 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------