TSTP Solution File: SEU137+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU137+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 : 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 : Wed May  1 03:50:12 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   68 (   4 unt;   0 def)
%            Number of atoms       :  291 (  37 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  351 ( 128   ~; 146   |;  57   &)
%                                         (   9 <=>;  10  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  134 ( 119   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f173,plain,
    $false,
    inference(avatar_sat_refutation,[],[f124,f125,f160,f172]) ).

fof(f172,plain,
    ( ~ spl8_1
    | spl8_2 ),
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | ~ spl8_1
    | spl8_2 ),
    inference(subsumption_resolution,[],[f170,f119]) ).

fof(f119,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl8_1
  <=> in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f170,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_2 ),
    inference(subsumption_resolution,[],[f169,f163]) ).

fof(f163,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | spl8_2 ),
    inference(resolution,[],[f122,f92]) ).

fof(f92,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK6(X0,X1,X2),X1)
              & ~ in(sK6(X0,X1,X2),X0) )
            | ~ in(sK6(X0,X1,X2),X2) )
          & ( in(sK6(X0,X1,X2),X1)
            | in(sK6(X0,X1,X2),X0)
            | in(sK6(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,[sK6])],[f53,f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK6(X0,X1,X2),X1)
            & ~ in(sK6(X0,X1,X2),X0) )
          | ~ in(sK6(X0,X1,X2),X2) )
        & ( in(sK6(X0,X1,X2),X1)
          | in(sK6(X0,X1,X2),X0)
          | in(sK6(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,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,[],[f52]) ).

fof(f52,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,[],[f51]) ).

fof(f51,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,[],[f3]) ).

fof(f3,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.X6nwvipaXK/Vampire---4.8_2390',d2_xboole_0) ).

fof(f122,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | spl8_2 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl8_2
  <=> in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f169,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_2 ),
    inference(resolution,[],[f164,f88]) ).

fof(f88,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,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])],[f41,f42]) ).

fof(f42,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(f41,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,[],[f40]) ).

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

fof(f39,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,[],[f5]) ).

fof(f5,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.X6nwvipaXK/Vampire---4.8_2390',d4_xboole_0) ).

fof(f164,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | spl8_2 ),
    inference(resolution,[],[f122,f91]) ).

fof(f91,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f160,plain,
    ( spl8_1
    | ~ spl8_2 ),
    inference(avatar_contradiction_clause,[],[f159]) ).

fof(f159,plain,
    ( $false
    | spl8_1
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f155,f118]) ).

fof(f118,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f155,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1)
    | spl8_1
    | ~ spl8_2 ),
    inference(resolution,[],[f146,f90]) ).

fof(f90,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f146,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | spl8_1
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f143,f142]) ).

fof(f142,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | spl8_1 ),
    inference(resolution,[],[f118,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( in(X0,sK1)
      | ~ in(X0,sK0) ),
    inference(resolution,[],[f56,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X2,X0)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) )
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.X6nwvipaXK/Vampire---4.8_2390',d3_tarski) ).

fof(f56,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( sK1 != set_union2(sK0,set_difference(sK1,sK0))
    & subset(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f37]) ).

fof(f37,plain,
    ( ? [X0,X1] :
        ( set_union2(X0,set_difference(X1,X0)) != X1
        & subset(X0,X1) )
   => ( sK1 != set_union2(sK0,set_difference(sK1,sK0))
      & subset(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0,X1] :
      ( set_union2(X0,set_difference(X1,X0)) != X1
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f19,conjecture,
    ! [X0,X1] :
      ( subset(X0,X1)
     => set_union2(X0,set_difference(X1,X0)) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.X6nwvipaXK/Vampire---4.8_2390',t45_xboole_1) ).

fof(f143,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK0)
    | in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_difference(sK1,sK0))
    | ~ spl8_2 ),
    inference(resolution,[],[f123,f93]) ).

fof(f93,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X0)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f123,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f125,plain,
    ( ~ spl8_1
    | ~ spl8_2 ),
    inference(avatar_split_clause,[],[f114,f121,f117]) ).

fof(f114,plain,
    ( ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | ~ in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    inference(resolution,[],[f95,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
      | ~ in(sK5(X0,X1),X1)
      | ~ in(sK5(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f80,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ7_eqProxy])]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ in(sK5(X0,X1),X1)
      | ~ in(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK5(X0,X1),X1)
          | ~ in(sK5(X0,X1),X0) )
        & ( in(sK5(X0,X1),X1)
          | in(sK5(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f48,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK5(X0,X1),X1)
          | ~ in(sK5(X0,X1),X0) )
        & ( in(sK5(X0,X1),X1)
          | in(sK5(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.X6nwvipaXK/Vampire---4.8_2390',t2_tarski) ).

fof(f95,plain,
    ~ sQ7_eqProxy(sK1,set_union2(sK0,set_difference(sK1,sK0))),
    inference(equality_proxy_replacement,[],[f57,f94]) ).

fof(f57,plain,
    sK1 != set_union2(sK0,set_difference(sK1,sK0)),
    inference(cnf_transformation,[],[f38]) ).

fof(f124,plain,
    ( spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f113,f121,f117]) ).

fof(f113,plain,
    ( in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),set_union2(sK0,set_difference(sK1,sK0)))
    | in(sK5(sK1,set_union2(sK0,set_difference(sK1,sK0))),sK1) ),
    inference(resolution,[],[f95,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sQ7_eqProxy(X0,X1)
      | in(sK5(X0,X1),X1)
      | in(sK5(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f79,f94]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( X0 = X1
      | in(sK5(X0,X1),X1)
      | in(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU137+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % 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
% 0.15/0.35  % 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   : Tue Apr 30 16:09:05 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.X6nwvipaXK/Vampire---4.8_2390
% 0.57/0.73  % (2746)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)
% 0.57/0.73  % (2738)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)
% 0.57/0.73  % (2740)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (2739)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)
% 0.57/0.73  % (2743)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)
% 0.57/0.73  % (2741)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)
% 0.57/0.73  % (2744)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)
% 0.57/0.73  % (2745)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)
% 0.57/0.73  % (2746)First to succeed.
% 0.57/0.74  % (2741)Refutation not found, incomplete strategy% (2741)------------------------------
% 0.57/0.74  % (2741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (2741)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (2741)Memory used [KB]: 974
% 0.57/0.74  % (2741)Time elapsed: 0.003 s
% 0.57/0.74  % (2741)Instructions burned: 3 (million)
% 0.57/0.74  % (2741)------------------------------
% 0.57/0.74  % (2741)------------------------------
% 0.57/0.74  % (2746)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (2746)------------------------------
% 0.57/0.74  % (2746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (2746)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (2746)Memory used [KB]: 1070
% 0.57/0.74  % (2746)Time elapsed: 0.004 s
% 0.57/0.74  % (2746)Instructions burned: 7 (million)
% 0.57/0.74  % (2746)------------------------------
% 0.57/0.74  % (2746)------------------------------
% 0.57/0.74  % (2645)Success in time 0.371 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------