TSTP Solution File: SEU215+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU215+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 : n017.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 03:50:45 EDT 2024

% Result   : Theorem 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   76 (  10 unt;   0 def)
%            Number of atoms       :  324 (  37 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  402 ( 154   ~; 157   |;  60   &)
%                                         (  13 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   80 (  69   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f340,plain,
    $false,
    inference(avatar_sat_refutation,[],[f245,f258,f276,f312,f335]) ).

fof(f335,plain,
    ~ spl10_3,
    inference(avatar_contradiction_clause,[],[f334]) ).

fof(f334,plain,
    ( $false
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f333,f94]) ).

fof(f94,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( apply(relation_composition(sK1,sK2),sK0) != apply(sK2,apply(sK1,sK0))
    & in(sK0,relation_dom(sK1))
    & function(sK2)
    & relation(sK2)
    & function(sK1)
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f73,f72]) ).

fof(f72,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
            & in(X0,relation_dom(X1))
            & function(X2)
            & relation(X2) )
        & function(X1)
        & relation(X1) )
   => ( ? [X2] :
          ( apply(relation_composition(sK1,X2),sK0) != apply(X2,apply(sK1,sK0))
          & in(sK0,relation_dom(sK1))
          & function(X2)
          & relation(X2) )
      & function(sK1)
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ( ? [X2] :
        ( apply(relation_composition(sK1,X2),sK0) != apply(X2,apply(sK1,sK0))
        & in(sK0,relation_dom(sK1))
        & function(X2)
        & relation(X2) )
   => ( apply(relation_composition(sK1,sK2),sK0) != apply(sK2,apply(sK1,sK0))
      & in(sK0,relation_dom(sK1))
      & function(sK2)
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1))
          & function(X2)
          & relation(X2) )
      & function(X1)
      & relation(X1) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1))
          & function(X2)
          & relation(X2) )
      & function(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( function(X1)
          & relation(X1) )
       => ! [X2] :
            ( ( function(X2)
              & relation(X2) )
           => ( in(X0,relation_dom(X1))
             => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',t23_funct_1) ).

fof(f333,plain,
    ( ~ relation(sK2)
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f332,f95]) ).

fof(f95,plain,
    function(sK2),
    inference(cnf_transformation,[],[f74]) ).

fof(f332,plain,
    ( ~ function(sK2)
    | ~ relation(sK2)
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f331,f92]) ).

fof(f92,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f74]) ).

fof(f331,plain,
    ( ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f330,f93]) ).

fof(f93,plain,
    function(sK1),
    inference(cnf_transformation,[],[f74]) ).

fof(f330,plain,
    ( ~ function(sK1)
    | ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f325,f97]) ).

fof(f97,plain,
    apply(relation_composition(sK1,sK2),sK0) != apply(sK2,apply(sK1,sK0)),
    inference(cnf_transformation,[],[f74]) ).

fof(f325,plain,
    ( apply(relation_composition(sK1,sK2),sK0) = apply(sK2,apply(sK1,sK0))
    | ~ function(sK1)
    | ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | ~ spl10_3 ),
    inference(resolution,[],[f240,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
          | ~ in(X0,relation_dom(relation_composition(X2,X1)))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
          | ~ in(X0,relation_dom(relation_composition(X2,X1)))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',t22_funct_1) ).

fof(f240,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl10_3
  <=> in(sK0,relation_dom(relation_composition(sK1,sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f312,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f311,f242,f238]) ).

fof(f242,plain,
    ( spl10_4
  <=> empty_set = apply(sK2,apply(sK1,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f311,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | spl10_4 ),
    inference(subsumption_resolution,[],[f310,f94]) ).

fof(f310,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ relation(sK2)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f309,f95]) ).

fof(f309,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f308,f92]) ).

fof(f308,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f307,f93]) ).

fof(f307,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ function(sK1)
    | ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f302,f96]) ).

fof(f96,plain,
    in(sK0,relation_dom(sK1)),
    inference(cnf_transformation,[],[f74]) ).

fof(f302,plain,
    ( in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ in(sK0,relation_dom(sK1))
    | ~ function(sK1)
    | ~ relation(sK1)
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(resolution,[],[f296,f111]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ in(apply(X2,X0),relation_dom(X1))
      | in(X0,relation_dom(relation_composition(X2,X1)))
      | ~ in(X0,relation_dom(X2))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',t21_funct_1) ).

fof(f296,plain,
    ( in(apply(sK1,sK0),relation_dom(sK2))
    | spl10_4 ),
    inference(subsumption_resolution,[],[f295,f94]) ).

fof(f295,plain,
    ( in(apply(sK1,sK0),relation_dom(sK2))
    | ~ relation(sK2)
    | spl10_4 ),
    inference(subsumption_resolution,[],[f294,f95]) ).

fof(f294,plain,
    ( in(apply(sK1,sK0),relation_dom(sK2))
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(trivial_inequality_removal,[],[f293]) ).

fof(f293,plain,
    ( empty_set != empty_set
    | in(apply(sK1,sK0),relation_dom(sK2))
    | ~ function(sK2)
    | ~ relation(sK2)
    | spl10_4 ),
    inference(superposition,[],[f244,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( apply(X0,X1) = empty_set
      | in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f105]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( apply(X0,X1) = X2
      | empty_set != X2
      | in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) )
            | in(X1,relation_dom(X0)) )
          & ( ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',d4_funct_1) ).

fof(f244,plain,
    ( empty_set != apply(sK2,apply(sK1,sK0))
    | spl10_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f276,plain,
    spl10_2,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl10_2 ),
    inference(subsumption_resolution,[],[f274,f92]) ).

fof(f274,plain,
    ( ~ relation(sK1)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f273,f93]) ).

fof(f273,plain,
    ( ~ function(sK1)
    | ~ relation(sK1)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f272,f94]) ).

fof(f272,plain,
    ( ~ relation(sK2)
    | ~ function(sK1)
    | ~ relation(sK1)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f270,f95]) ).

fof(f270,plain,
    ( ~ function(sK2)
    | ~ relation(sK2)
    | ~ function(sK1)
    | ~ relation(sK1)
    | spl10_2 ),
    inference(resolution,[],[f236,f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( function(relation_composition(X0,X1))
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1)
        & function(X0)
        & relation(X0) )
     => ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',fc1_funct_1) ).

fof(f236,plain,
    ( ~ function(relation_composition(sK1,sK2))
    | spl10_2 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl10_2
  <=> function(relation_composition(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f258,plain,
    spl10_1,
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | spl10_1 ),
    inference(subsumption_resolution,[],[f256,f92]) ).

fof(f256,plain,
    ( ~ relation(sK1)
    | spl10_1 ),
    inference(subsumption_resolution,[],[f247,f94]) ).

fof(f247,plain,
    ( ~ relation(sK2)
    | ~ relation(sK1)
    | spl10_1 ),
    inference(resolution,[],[f232,f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & relation(X0) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.dM4D9TU3fS/Vampire---4.8_2565',dt_k5_relat_1) ).

fof(f232,plain,
    ( ~ relation(relation_composition(sK1,sK2))
    | spl10_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl10_1
  <=> relation(relation_composition(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f245,plain,
    ( ~ spl10_1
    | ~ spl10_2
    | spl10_3
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f228,f242,f238,f234,f230]) ).

fof(f228,plain,
    ( empty_set != apply(sK2,apply(sK1,sK0))
    | in(sK0,relation_dom(relation_composition(sK1,sK2)))
    | ~ function(relation_composition(sK1,sK2))
    | ~ relation(relation_composition(sK1,sK2)) ),
    inference(superposition,[],[f97,f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU215+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n017.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 15:47:49 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.dM4D9TU3fS/Vampire---4.8_2565
% 0.53/0.73  % (2914)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)
% 0.53/0.73  % (2906)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)
% 0.53/0.74  % (2909)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74  % (2910)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)
% 0.53/0.74  % (2908)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)
% 0.53/0.74  % (2914)Refutation not found, incomplete strategy% (2914)------------------------------
% 0.53/0.74  % (2914)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (2914)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (2914)Memory used [KB]: 1045
% 0.53/0.74  % (2912)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)
% 0.53/0.74  % (2914)Time elapsed: 0.002 s
% 0.53/0.74  % (2914)Instructions burned: 3 (million)
% 0.53/0.74  % (2914)------------------------------
% 0.53/0.74  % (2914)------------------------------
% 0.53/0.74  % (2911)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)
% 0.53/0.74  % (2913)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)
% 0.53/0.74  % (2912)Refutation not found, incomplete strategy% (2912)------------------------------
% 0.53/0.74  % (2912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (2912)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (2912)Memory used [KB]: 1047
% 0.53/0.74  % (2912)Time elapsed: 0.003 s
% 0.53/0.74  % (2912)Instructions burned: 3 (million)
% 0.53/0.74  % (2912)------------------------------
% 0.53/0.74  % (2912)------------------------------
% 0.53/0.74  % (2915)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)
% 0.53/0.74  % (2911)Refutation not found, incomplete strategy% (2911)------------------------------
% 0.53/0.74  % (2911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (2911)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (2911)Memory used [KB]: 1077
% 0.53/0.74  % (2911)Time elapsed: 0.006 s
% 0.53/0.74  % (2911)Instructions burned: 8 (million)
% 0.53/0.74  % (2911)------------------------------
% 0.53/0.74  % (2911)------------------------------
% 0.53/0.74  % (2906)Refutation not found, incomplete strategy% (2906)------------------------------
% 0.53/0.74  % (2906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (2906)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (2906)Memory used [KB]: 1085
% 0.53/0.74  % (2906)Time elapsed: 0.007 s
% 0.53/0.74  % (2906)Instructions burned: 8 (million)
% 0.53/0.74  % (2906)------------------------------
% 0.53/0.74  % (2906)------------------------------
% 0.53/0.74  % (2916)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 (2996ds/50Mi)
% 0.53/0.74  % (2909)First to succeed.
% 0.53/0.74  % (2917)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 (2996ds/208Mi)
% 0.60/0.75  % (2918)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 (2996ds/52Mi)
% 0.60/0.75  % (2909)Refutation found. Thanks to Tanya!
% 0.60/0.75  % SZS status Theorem for Vampire---4
% 0.60/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75  % (2909)------------------------------
% 0.60/0.75  % (2909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (2909)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (2909)Memory used [KB]: 1171
% 0.60/0.75  % (2909)Time elapsed: 0.012 s
% 0.60/0.75  % (2909)Instructions burned: 15 (million)
% 0.60/0.75  % (2909)------------------------------
% 0.60/0.75  % (2909)------------------------------
% 0.60/0.75  % (2749)Success in time 0.385 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------