TSTP Solution File: SEU344+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU344+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 : n020.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 09:22:32 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (   8 unt;   0 def)
%            Number of atoms       :  245 (  32 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  289 ( 114   ~; 124   |;  29   &)
%                                         (   8 <=>;  13  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   79 (  65   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f660,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f265,f615,f631,f659]) ).

fof(f659,plain,
    ( ~ spl18_1
    | spl18_2
    | ~ spl18_11 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f658,plain,
    ( $false
    | ~ spl18_1
    | spl18_2
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f652,f263]) ).

fof(f263,plain,
    ( ~ subset(sK1,sK2)
    | spl18_2 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl18_2
  <=> subset(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f652,plain,
    ( subset(sK1,sK2)
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(superposition,[],[f176,f650]) ).

fof(f650,plain,
    ( sK2 = set_union2(sK1,sK2)
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f649,f169]) ).

fof(f169,plain,
    element(sK1,the_carrier(boole_lattice(sK0))),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ~ subset(sK1,sK2)
      | ~ below(boole_lattice(sK0),sK1,sK2) )
    & ( subset(sK1,sK2)
      | below(boole_lattice(sK0),sK1,sK2) )
    & element(sK2,the_carrier(boole_lattice(sK0)))
    & element(sK1,the_carrier(boole_lattice(sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f132,f134,f133]) ).

fof(f133,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ( ~ subset(X1,X2)
              | ~ below(boole_lattice(X0),X1,X2) )
            & ( subset(X1,X2)
              | below(boole_lattice(X0),X1,X2) )
            & element(X2,the_carrier(boole_lattice(X0))) )
        & element(X1,the_carrier(boole_lattice(X0))) )
   => ( ? [X2] :
          ( ( ~ subset(sK1,X2)
            | ~ below(boole_lattice(sK0),sK1,X2) )
          & ( subset(sK1,X2)
            | below(boole_lattice(sK0),sK1,X2) )
          & element(X2,the_carrier(boole_lattice(sK0))) )
      & element(sK1,the_carrier(boole_lattice(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X2] :
        ( ( ~ subset(sK1,X2)
          | ~ below(boole_lattice(sK0),sK1,X2) )
        & ( subset(sK1,X2)
          | below(boole_lattice(sK0),sK1,X2) )
        & element(X2,the_carrier(boole_lattice(sK0))) )
   => ( ( ~ subset(sK1,sK2)
        | ~ below(boole_lattice(sK0),sK1,sK2) )
      & ( subset(sK1,sK2)
        | below(boole_lattice(sK0),sK1,sK2) )
      & element(sK2,the_carrier(boole_lattice(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X1,X2)
            | ~ below(boole_lattice(X0),X1,X2) )
          & ( subset(X1,X2)
            | below(boole_lattice(X0),X1,X2) )
          & element(X2,the_carrier(boole_lattice(X0))) )
      & element(X1,the_carrier(boole_lattice(X0))) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X1,X2)
            | ~ below(boole_lattice(X0),X1,X2) )
          & ( subset(X1,X2)
            | below(boole_lattice(X0),X1,X2) )
          & element(X2,the_carrier(boole_lattice(X0))) )
      & element(X1,the_carrier(boole_lattice(X0))) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f86,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ( below(boole_lattice(X0),X1,X2)
          <~> subset(X1,X2) )
          & element(X2,the_carrier(boole_lattice(X0))) )
      & element(X1,the_carrier(boole_lattice(X0))) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,negated_conjecture,
    ~ ! [X0,X1] :
        ( element(X1,the_carrier(boole_lattice(X0)))
       => ! [X2] :
            ( element(X2,the_carrier(boole_lattice(X0)))
           => ( below(boole_lattice(X0),X1,X2)
            <=> subset(X1,X2) ) ) ),
    inference(negated_conjecture,[],[f73]) ).

fof(f73,conjecture,
    ! [X0,X1] :
      ( element(X1,the_carrier(boole_lattice(X0)))
     => ! [X2] :
          ( element(X2,the_carrier(boole_lattice(X0)))
         => ( below(boole_lattice(X0),X1,X2)
          <=> subset(X1,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',t2_lattice3) ).

fof(f649,plain,
    ( sK2 = set_union2(sK1,sK2)
    | ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f644,f170]) ).

fof(f170,plain,
    element(sK2,the_carrier(boole_lattice(sK0))),
    inference(cnf_transformation,[],[f135]) ).

fof(f644,plain,
    ( sK2 = set_union2(sK1,sK2)
    | ~ element(sK2,the_carrier(boole_lattice(sK0)))
    | ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(superposition,[],[f638,f181]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0))) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2)
            & join(boole_lattice(X0),X1,X2) = set_union2(X1,X2) )
          | ~ element(X2,the_carrier(boole_lattice(X0))) )
      | ~ element(X1,the_carrier(boole_lattice(X0))) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1] :
      ( element(X1,the_carrier(boole_lattice(X0)))
     => ! [X2] :
          ( element(X2,the_carrier(boole_lattice(X0)))
         => ( meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2)
            & join(boole_lattice(X0),X1,X2) = set_union2(X1,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',t1_lattice3) ).

fof(f638,plain,
    ( sK2 = join(boole_lattice(sK0),sK1,sK2)
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f637,f183]) ).

fof(f183,plain,
    ! [X0] : ~ empty_carrier(boole_lattice(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( strict_latt_str(boole_lattice(X0))
      & ~ empty_carrier(boole_lattice(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',fc1_lattice3) ).

fof(f637,plain,
    ( sK2 = join(boole_lattice(sK0),sK1,sK2)
    | empty_carrier(boole_lattice(sK0))
    | ~ spl18_1
    | ~ spl18_11 ),
    inference(subsumption_resolution,[],[f636,f595]) ).

fof(f595,plain,
    ( join_semilatt_str(boole_lattice(sK0))
    | ~ spl18_11 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl18_11
  <=> join_semilatt_str(boole_lattice(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

fof(f636,plain,
    ( sK2 = join(boole_lattice(sK0),sK1,sK2)
    | ~ join_semilatt_str(boole_lattice(sK0))
    | empty_carrier(boole_lattice(sK0))
    | ~ spl18_1 ),
    inference(subsumption_resolution,[],[f635,f169]) ).

fof(f635,plain,
    ( sK2 = join(boole_lattice(sK0),sK1,sK2)
    | ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | ~ join_semilatt_str(boole_lattice(sK0))
    | empty_carrier(boole_lattice(sK0))
    | ~ spl18_1 ),
    inference(subsumption_resolution,[],[f634,f170]) ).

fof(f634,plain,
    ( sK2 = join(boole_lattice(sK0),sK1,sK2)
    | ~ element(sK2,the_carrier(boole_lattice(sK0)))
    | ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | ~ join_semilatt_str(boole_lattice(sK0))
    | empty_carrier(boole_lattice(sK0))
    | ~ spl18_1 ),
    inference(resolution,[],[f258,f174]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ below(X0,X1,X2)
      | join(X0,X1,X2) = X2
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( below(X0,X1,X2)
                  | join(X0,X1,X2) != X2 )
                & ( join(X0,X1,X2) = X2
                  | ~ below(X0,X1,X2) ) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ join_semilatt_str(X0)
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ join_semilatt_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ join_semilatt_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( join_semilatt_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',d3_lattices) ).

fof(f258,plain,
    ( below(boole_lattice(sK0),sK1,sK2)
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl18_1
  <=> below(boole_lattice(sK0),sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f176,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',t7_xboole_1) ).

fof(f631,plain,
    ( spl18_1
    | ~ spl18_2 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f630,plain,
    ( $false
    | spl18_1
    | ~ spl18_2 ),
    inference(subsumption_resolution,[],[f629,f312]) ).

fof(f312,plain,
    ( sK2 = set_union2(sK1,sK2)
    | ~ spl18_2 ),
    inference(resolution,[],[f179,f262]) ).

fof(f262,plain,
    ( subset(sK1,sK2)
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_union2(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( set_union2(X0,X1) = X1
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
     => set_union2(X0,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',t12_xboole_1) ).

fof(f629,plain,
    ( sK2 != set_union2(sK1,sK2)
    | spl18_1 ),
    inference(subsumption_resolution,[],[f628,f169]) ).

fof(f628,plain,
    ( ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | sK2 != set_union2(sK1,sK2)
    | spl18_1 ),
    inference(subsumption_resolution,[],[f625,f170]) ).

fof(f625,plain,
    ( ~ element(sK2,the_carrier(boole_lattice(sK0)))
    | ~ element(sK1,the_carrier(boole_lattice(sK0)))
    | sK2 != set_union2(sK1,sK2)
    | spl18_1 ),
    inference(resolution,[],[f537,f259]) ).

fof(f259,plain,
    ( ~ below(boole_lattice(sK0),sK1,sK2)
    | spl18_1 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f537,plain,
    ! [X2,X0,X1] :
      ( below(boole_lattice(X0),X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0)))
      | set_union2(X1,X2) != X2 ),
    inference(subsumption_resolution,[],[f536,f186]) ).

fof(f186,plain,
    ! [X0] : latt_str(boole_lattice(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( latt_str(boole_lattice(X0))
      & strict_latt_str(boole_lattice(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',dt_k1_lattice3) ).

fof(f536,plain,
    ! [X2,X0,X1] :
      ( below(boole_lattice(X0),X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0)))
      | set_union2(X1,X2) != X2
      | ~ latt_str(boole_lattice(X0)) ),
    inference(resolution,[],[f429,f193]) ).

fof(f193,plain,
    ! [X0] :
      ( join_semilatt_str(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ( join_semilatt_str(X0)
        & meet_semilatt_str(X0) )
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( latt_str(X0)
     => ( join_semilatt_str(X0)
        & meet_semilatt_str(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cfbzNJ5UxT/Vampire---4.8_28274',dt_l3_lattices) ).

fof(f429,plain,
    ! [X2,X0,X1] :
      ( ~ join_semilatt_str(boole_lattice(X0))
      | below(boole_lattice(X0),X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0)))
      | set_union2(X1,X2) != X2 ),
    inference(subsumption_resolution,[],[f428,f183]) ).

fof(f428,plain,
    ! [X2,X0,X1] :
      ( set_union2(X1,X2) != X2
      | below(boole_lattice(X0),X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0)))
      | ~ join_semilatt_str(boole_lattice(X0))
      | empty_carrier(boole_lattice(X0)) ),
    inference(duplicate_literal_removal,[],[f427]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( set_union2(X1,X2) != X2
      | below(boole_lattice(X0),X1,X2)
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0)))
      | ~ join_semilatt_str(boole_lattice(X0))
      | empty_carrier(boole_lattice(X0))
      | ~ element(X2,the_carrier(boole_lattice(X0)))
      | ~ element(X1,the_carrier(boole_lattice(X0))) ),
    inference(superposition,[],[f175,f181]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( join(X0,X1,X2) != X2
      | below(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f615,plain,
    spl18_11,
    inference(avatar_contradiction_clause,[],[f614]) ).

fof(f614,plain,
    ( $false
    | spl18_11 ),
    inference(subsumption_resolution,[],[f613,f186]) ).

fof(f613,plain,
    ( ~ latt_str(boole_lattice(sK0))
    | spl18_11 ),
    inference(resolution,[],[f596,f193]) ).

fof(f596,plain,
    ( ~ join_semilatt_str(boole_lattice(sK0))
    | spl18_11 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f265,plain,
    ( spl18_1
    | spl18_2 ),
    inference(avatar_split_clause,[],[f171,f261,f257]) ).

fof(f171,plain,
    ( subset(sK1,sK2)
    | below(boole_lattice(sK0),sK1,sK2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f264,plain,
    ( ~ spl18_1
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f172,f261,f257]) ).

fof(f172,plain,
    ( ~ subset(sK1,sK2)
    | ~ below(boole_lattice(sK0),sK1,sK2) ),
    inference(cnf_transformation,[],[f135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU344+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 11:43:16 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.cfbzNJ5UxT/Vampire---4.8_28274
% 0.58/0.76  % (28632)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (28631)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)
% 0.58/0.76  % (28630)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)
% 0.58/0.76  % (28633)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)
% 0.58/0.76  % (28635)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)
% 0.58/0.76  % (28636)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)
% 0.58/0.76  % (28637)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)
% 0.58/0.76  % (28637)Refutation not found, incomplete strategy% (28637)------------------------------
% 0.58/0.76  % (28637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28635)Refutation not found, incomplete strategy% (28635)------------------------------
% 0.58/0.76  % (28635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28635)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28635)Memory used [KB]: 1044
% 0.58/0.76  % (28635)Time elapsed: 0.002 s
% 0.58/0.76  % (28630)Refutation not found, incomplete strategy% (28630)------------------------------
% 0.58/0.76  % (28630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28635)Instructions burned: 3 (million)
% 0.58/0.76  % (28630)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28630)Memory used [KB]: 1068
% 0.58/0.76  % (28630)Time elapsed: 0.002 s
% 0.58/0.76  % (28630)Instructions burned: 3 (million)
% 0.58/0.76  % (28633)Refutation not found, incomplete strategy% (28633)------------------------------
% 0.58/0.76  % (28633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28633)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28633)Memory used [KB]: 1041
% 0.58/0.76  % (28633)Time elapsed: 0.002 s
% 0.58/0.76  % (28633)Instructions burned: 3 (million)
% 0.58/0.76  % (28637)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28637)Memory used [KB]: 1045
% 0.58/0.76  % (28637)Time elapsed: 0.002 s
% 0.58/0.76  % (28637)Instructions burned: 3 (million)
% 0.58/0.76  % (28634)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)
% 0.58/0.76  % (28635)------------------------------
% 0.58/0.76  % (28635)------------------------------
% 0.58/0.76  % (28630)------------------------------
% 0.58/0.76  % (28630)------------------------------
% 0.58/0.76  % (28633)------------------------------
% 0.58/0.76  % (28633)------------------------------
% 0.58/0.76  % (28637)------------------------------
% 0.58/0.76  % (28637)------------------------------
% 0.58/0.76  % (28638)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)
% 0.58/0.76  % (28640)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)
% 0.58/0.76  % (28639)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)
% 0.58/0.76  % (28641)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)
% 0.58/0.76  % (28634)Refutation not found, incomplete strategy% (28634)------------------------------
% 0.58/0.76  % (28634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28634)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28634)Memory used [KB]: 1134
% 0.58/0.76  % (28634)Time elapsed: 0.005 s
% 0.58/0.76  % (28634)Instructions burned: 6 (million)
% 0.58/0.76  % (28634)------------------------------
% 0.58/0.76  % (28634)------------------------------
% 0.58/0.76  % (28640)Refutation not found, incomplete strategy% (28640)------------------------------
% 0.58/0.76  % (28640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (28640)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (28640)Memory used [KB]: 1044
% 0.58/0.76  % (28640)Time elapsed: 0.002 s
% 0.58/0.76  % (28640)Instructions burned: 4 (million)
% 0.58/0.76  % (28640)------------------------------
% 0.58/0.76  % (28640)------------------------------
% 0.58/0.77  % (28643)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.58/0.77  % (28642)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.58/0.77  % (28643)Refutation not found, incomplete strategy% (28643)------------------------------
% 0.58/0.77  % (28643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (28643)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (28643)Memory used [KB]: 1137
% 0.58/0.77  % (28643)Time elapsed: 0.003 s
% 0.58/0.77  % (28643)Instructions burned: 6 (million)
% 0.58/0.77  % (28643)------------------------------
% 0.58/0.77  % (28643)------------------------------
% 0.58/0.77  % (28632)First to succeed.
% 0.58/0.77  % (28632)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28512"
% 0.58/0.77  % (28632)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (28632)------------------------------
% 0.58/0.77  % (28632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (28632)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (28632)Memory used [KB]: 1340
% 0.58/0.77  % (28632)Time elapsed: 0.013 s
% 0.58/0.77  % (28632)Instructions burned: 33 (million)
% 0.58/0.77  % (28512)Success in time 0.399 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------