TSTP Solution File: SEU387+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU387+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 : n013.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 09:23:01 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  20 unt;   0 def)
%            Number of atoms       :  261 (   5 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  333 ( 124   ~; 101   |;  95   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   49 (  34   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f279,plain,
    $false,
    inference(subsumption_resolution,[],[f278,f167]) ).

fof(f167,plain,
    empty(sK2),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( empty(sK2)
    & in(sK2,sK1)
    & element(sK1,powerset(the_carrier(boole_POSet(sK0))))
    & proper_element(sK1,powerset(the_carrier(boole_POSet(sK0))))
    & upper_relstr_subset(sK1,boole_POSet(sK0))
    & filtered_subset(sK1,boole_POSet(sK0))
    & ~ empty(sK1)
    & ~ empty(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f98,f133,f132,f131]) ).

fof(f131,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( empty(X2)
                & in(X2,X1) )
            & element(X1,powerset(the_carrier(boole_POSet(X0))))
            & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
            & upper_relstr_subset(X1,boole_POSet(X0))
            & filtered_subset(X1,boole_POSet(X0))
            & ~ empty(X1) )
        & ~ empty(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( empty(X2)
              & in(X2,X1) )
          & element(X1,powerset(the_carrier(boole_POSet(sK0))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(sK0))))
          & upper_relstr_subset(X1,boole_POSet(sK0))
          & filtered_subset(X1,boole_POSet(sK0))
          & ~ empty(X1) )
      & ~ empty(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( empty(X2)
            & in(X2,X1) )
        & element(X1,powerset(the_carrier(boole_POSet(sK0))))
        & proper_element(X1,powerset(the_carrier(boole_POSet(sK0))))
        & upper_relstr_subset(X1,boole_POSet(sK0))
        & filtered_subset(X1,boole_POSet(sK0))
        & ~ empty(X1) )
   => ( ? [X2] :
          ( empty(X2)
          & in(X2,sK1) )
      & element(sK1,powerset(the_carrier(boole_POSet(sK0))))
      & proper_element(sK1,powerset(the_carrier(boole_POSet(sK0))))
      & upper_relstr_subset(sK1,boole_POSet(sK0))
      & filtered_subset(sK1,boole_POSet(sK0))
      & ~ empty(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X2] :
        ( empty(X2)
        & in(X2,sK1) )
   => ( empty(sK2)
      & in(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( empty(X2)
              & in(X2,X1) )
          & element(X1,powerset(the_carrier(boole_POSet(X0))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          & upper_relstr_subset(X1,boole_POSet(X0))
          & filtered_subset(X1,boole_POSet(X0))
          & ~ empty(X1) )
      & ~ empty(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( empty(X2)
              & in(X2,X1) )
          & element(X1,powerset(the_carrier(boole_POSet(X0))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          & upper_relstr_subset(X1,boole_POSet(X0))
          & filtered_subset(X1,boole_POSet(X0))
          & ~ empty(X1) )
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,negated_conjecture,
    ~ ! [X0] :
        ( ~ empty(X0)
       => ! [X1] :
            ( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
              & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
              & upper_relstr_subset(X1,boole_POSet(X0))
              & filtered_subset(X1,boole_POSet(X0))
              & ~ empty(X1) )
           => ! [X2] :
                ~ ( empty(X2)
                  & in(X2,X1) ) ) ),
    inference(negated_conjecture,[],[f78]) ).

fof(f78,conjecture,
    ! [X0] :
      ( ~ empty(X0)
     => ! [X1] :
          ( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
            & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
            & upper_relstr_subset(X1,boole_POSet(X0))
            & filtered_subset(X1,boole_POSet(X0))
            & ~ empty(X1) )
         => ! [X2] :
              ~ ( empty(X2)
                & in(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',t2_yellow19) ).

fof(f278,plain,
    ~ empty(sK2),
    inference(resolution,[],[f277,f166]) ).

fof(f166,plain,
    in(sK2,sK1),
    inference(cnf_transformation,[],[f134]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ in(X0,sK1)
      | ~ empty(X0) ),
    inference(superposition,[],[f276,f259]) ).

fof(f259,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',t6_boole) ).

fof(f276,plain,
    ~ in(empty_set,sK1),
    inference(forward_demodulation,[],[f275,f242]) ).

fof(f242,plain,
    ! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',t18_yellow_1) ).

fof(f275,plain,
    ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1),
    inference(subsumption_resolution,[],[f274,f189]) ).

fof(f189,plain,
    ! [X0] : ~ empty_carrier(boole_POSet(X0)),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( antisymmetric_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & ~ empty_carrier(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( antisymmetric_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & ~ empty_carrier(boole_POSet(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',fc7_yellow_1) ).

fof(f274,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f273,f190]) ).

fof(f190,plain,
    ! [X0] : reflexive_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f93]) ).

fof(f273,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f272,f191]) ).

fof(f191,plain,
    ! [X0] : transitive_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f93]) ).

fof(f272,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f271,f192]) ).

fof(f192,plain,
    ! [X0] : antisymmetric_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f93]) ).

fof(f271,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f270,f183]) ).

fof(f183,plain,
    ! [X0] : lower_bounded_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( complete_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & ~ empty_carrier(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( complete_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & ~ empty_carrier(boole_POSet(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',fc8_yellow_1) ).

fof(f270,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f269,f193]) ).

fof(f193,plain,
    ! [X0] : rel_str(boole_POSet(X0)),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] : rel_str(boole_POSet(X0)),
    inference(pure_predicate_removal,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( rel_str(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',dt_k3_yellow_1) ).

fof(f269,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ rel_str(boole_POSet(sK0))
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f268,f161]) ).

fof(f161,plain,
    ~ empty(sK1),
    inference(cnf_transformation,[],[f134]) ).

fof(f268,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | empty(sK1)
    | ~ rel_str(boole_POSet(sK0))
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f267,f162]) ).

fof(f162,plain,
    filtered_subset(sK1,boole_POSet(sK0)),
    inference(cnf_transformation,[],[f134]) ).

fof(f267,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ filtered_subset(sK1,boole_POSet(sK0))
    | empty(sK1)
    | ~ rel_str(boole_POSet(sK0))
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f266,f163]) ).

fof(f163,plain,
    upper_relstr_subset(sK1,boole_POSet(sK0)),
    inference(cnf_transformation,[],[f134]) ).

fof(f266,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ upper_relstr_subset(sK1,boole_POSet(sK0))
    | ~ filtered_subset(sK1,boole_POSet(sK0))
    | empty(sK1)
    | ~ rel_str(boole_POSet(sK0))
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(subsumption_resolution,[],[f265,f165]) ).

fof(f165,plain,
    element(sK1,powerset(the_carrier(boole_POSet(sK0)))),
    inference(cnf_transformation,[],[f134]) ).

fof(f265,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
    | ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
    | ~ upper_relstr_subset(sK1,boole_POSet(sK0))
    | ~ filtered_subset(sK1,boole_POSet(sK0))
    | empty(sK1)
    | ~ rel_str(boole_POSet(sK0))
    | ~ lower_bounded_relstr(boole_POSet(sK0))
    | ~ antisymmetric_relstr(boole_POSet(sK0))
    | ~ transitive_relstr(boole_POSet(sK0))
    | ~ reflexive_relstr(boole_POSet(sK0))
    | empty_carrier(boole_POSet(sK0)) ),
    inference(resolution,[],[f164,f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ proper_element(X1,powerset(the_carrier(X0)))
      | ~ in(bottom_of_relstr(X0),X1)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ upper_relstr_subset(X1,X0)
      | ~ filtered_subset(X1,X0)
      | empty(X1)
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ reflexive_relstr(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( proper_element(X1,powerset(the_carrier(X0)))
              | in(bottom_of_relstr(X0),X1) )
            & ( ~ in(bottom_of_relstr(X0),X1)
              | ~ proper_element(X1,powerset(the_carrier(X0))) ) )
          | ~ element(X1,powerset(the_carrier(X0)))
          | ~ upper_relstr_subset(X1,X0)
          | ~ filtered_subset(X1,X0)
          | empty(X1) )
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ reflexive_relstr(X0)
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) )
          | ~ element(X1,powerset(the_carrier(X0)))
          | ~ upper_relstr_subset(X1,X0)
          | ~ filtered_subset(X1,X0)
          | empty(X1) )
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ reflexive_relstr(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) )
          | ~ element(X1,powerset(the_carrier(X0)))
          | ~ upper_relstr_subset(X1,X0)
          | ~ filtered_subset(X1,X0)
          | empty(X1) )
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ reflexive_relstr(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & transitive_relstr(X0)
        & reflexive_relstr(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( element(X1,powerset(the_carrier(X0)))
            & upper_relstr_subset(X1,X0)
            & filtered_subset(X1,X0)
            & ~ empty(X1) )
         => ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119',t8_waybel_7) ).

fof(f164,plain,
    proper_element(sK1,powerset(the_carrier(boole_POSet(sK0)))),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU387+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n013.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 11:07:19 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.q8eqTtzC2I/Vampire---4.8_12119
% 0.60/0.75  % (12318)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)
% 0.60/0.75  % (12319)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (12317)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)
% 0.60/0.75  % (12322)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)
% 0.60/0.75  % (12320)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)
% 0.60/0.75  % (12321)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)
% 0.60/0.75  % (12323)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)
% 0.60/0.76  % (12324)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)
% 0.60/0.76  % (12322)First to succeed.
% 0.60/0.76  % (12324)Refutation not found, incomplete strategy% (12324)------------------------------
% 0.60/0.76  % (12324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (12324)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (12324)Memory used [KB]: 1143
% 0.60/0.76  % (12324)Time elapsed: 0.005 s
% 0.60/0.76  % (12324)Instructions burned: 5 (million)
% 0.60/0.76  % (12324)------------------------------
% 0.60/0.76  % (12324)------------------------------
% 0.60/0.76  % (12322)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12296"
% 0.60/0.76  % (12321)Refutation not found, incomplete strategy% (12321)------------------------------
% 0.60/0.76  % (12321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (12322)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (12322)------------------------------
% 0.60/0.76  % (12322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (12322)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (12322)Memory used [KB]: 1154
% 0.60/0.76  % (12322)Time elapsed: 0.010 s
% 0.60/0.76  % (12322)Instructions burned: 7 (million)
% 0.60/0.76  % (12296)Success in time 0.391 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------