TSTP Solution File: SEU360+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU360+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 : n009.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 09:22:43 EDT 2024

% Result   : Theorem 0.64s 0.81s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   73 (  13 unt;   0 def)
%            Number of atoms       :  246 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  277 ( 104   ~; 106   |;  35   &)
%                                         (  13 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   96 (  86   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f230,plain,
    $false,
    inference(avatar_sat_refutation,[],[f95,f162,f229]) ).

fof(f229,plain,
    spl13_2,
    inference(avatar_contradiction_clause,[],[f228]) ).

fof(f228,plain,
    ( $false
    | spl13_2 ),
    inference(subsumption_resolution,[],[f217,f171]) ).

fof(f171,plain,
    ( ~ related(sK0,sK2(sK0),sK7(sK0,empty_set,sK2(sK0)))
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f51,f49,f103,f96,f94,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X2,sK7(X0,X1,X2))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | ~ antisymmetric_relstr(X0)
      | ex_sup_of_relstr_set(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) )
              & relstr_set_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) )
              & relstr_set_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & antisymmetric_relstr(X0) )
     => ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( relstr_set_smaller(X0,X1,X3)
                   => related(X0,X2,X3) ) )
              & relstr_set_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t15_yellow_0) ).

fof(f94,plain,
    ( ~ ex_sup_of_relstr_set(sK0,empty_set)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl13_2
  <=> ex_sup_of_relstr_set(sK0,empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f96,plain,
    element(sK2(sK0),the_carrier(sK0)),
    inference(unit_resulting_resolution,[],[f50,f51,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( element(sK2(X0),the_carrier(X0))
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( lower_bounded_relstr(X0)
      <=> ? [X1] :
            ( relstr_element_smaller(X0,the_carrier(X0),X1)
            & element(X1,the_carrier(X0)) ) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( lower_bounded_relstr(X0)
      <=> ? [X1] :
            ( relstr_element_smaller(X0,the_carrier(X0),X1)
            & element(X1,the_carrier(X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',d4_yellow_0) ).

fof(f50,plain,
    lower_bounded_relstr(sK0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ? [X0] :
      ( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
        | ~ ex_sup_of_relstr_set(X0,empty_set) )
      & rel_str(X0)
      & lower_bounded_relstr(X0)
      & antisymmetric_relstr(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ? [X0] :
      ( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
        | ~ ex_sup_of_relstr_set(X0,empty_set) )
      & rel_str(X0)
      & lower_bounded_relstr(X0)
      & antisymmetric_relstr(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & lower_bounded_relstr(X0)
          & antisymmetric_relstr(X0)
          & ~ empty_carrier(X0) )
       => ( ex_inf_of_relstr_set(X0,the_carrier(X0))
          & ex_sup_of_relstr_set(X0,empty_set) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ! [X0] :
      ( ( rel_str(X0)
        & lower_bounded_relstr(X0)
        & antisymmetric_relstr(X0)
        & ~ empty_carrier(X0) )
     => ( ex_inf_of_relstr_set(X0,the_carrier(X0))
        & ex_sup_of_relstr_set(X0,empty_set) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t42_yellow_0) ).

fof(f103,plain,
    relstr_set_smaller(sK0,empty_set,sK2(sK0)),
    inference(unit_resulting_resolution,[],[f51,f96,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0)
      | relstr_set_smaller(X0,empty_set,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relstr_element_smaller(X0,empty_set,X1)
            & relstr_set_smaller(X0,empty_set,X1) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ( relstr_element_smaller(X0,empty_set,X1)
            & relstr_set_smaller(X0,empty_set,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t6_yellow_0) ).

fof(f49,plain,
    antisymmetric_relstr(sK0),
    inference(cnf_transformation,[],[f30]) ).

fof(f51,plain,
    rel_str(sK0),
    inference(cnf_transformation,[],[f30]) ).

fof(f217,plain,
    ( related(sK0,sK2(sK0),sK7(sK0,empty_set,sK2(sK0)))
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f207,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( related(sK0,sK2(sK0),X0)
      | ~ in(X0,the_carrier(sK0)) ),
    inference(subsumption_resolution,[],[f126,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t1_subset) ).

fof(f126,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK0))
      | ~ in(X0,the_carrier(sK0))
      | related(sK0,sK2(sK0),X0) ),
    inference(subsumption_resolution,[],[f125,f51]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK0))
      | ~ in(X0,the_carrier(sK0))
      | related(sK0,sK2(sK0),X0)
      | ~ rel_str(sK0) ),
    inference(subsumption_resolution,[],[f124,f96]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ element(sK2(sK0),the_carrier(sK0))
      | ~ element(X0,the_carrier(sK0))
      | ~ in(X0,the_carrier(sK0))
      | related(sK0,sK2(sK0),X0)
      | ~ rel_str(sK0) ),
    inference(resolution,[],[f97,f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relstr_element_smaller(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X3,the_carrier(X0))
      | ~ in(X3,X1)
      | related(X0,X2,X3)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relstr_element_smaller(X0,X1,X2)
          <=> ! [X3] :
                ( related(X0,X2,X3)
                | ~ in(X3,X1)
                | ~ element(X3,the_carrier(X0)) ) )
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relstr_element_smaller(X0,X1,X2)
          <=> ! [X3] :
                ( related(X0,X2,X3)
                | ~ in(X3,X1)
                | ~ element(X3,the_carrier(X0)) ) )
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1,X2] :
          ( element(X2,the_carrier(X0))
         => ( relstr_element_smaller(X0,X1,X2)
          <=> ! [X3] :
                ( element(X3,the_carrier(X0))
               => ( in(X3,X1)
                 => related(X0,X2,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',d8_lattice3) ).

fof(f97,plain,
    relstr_element_smaller(sK0,the_carrier(sK0),sK2(sK0)),
    inference(unit_resulting_resolution,[],[f50,f51,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( relstr_element_smaller(X0,the_carrier(X0),sK2(X0))
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f207,plain,
    ( in(sK7(sK0,empty_set,sK2(sK0)),the_carrier(sK0))
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f101,f167,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t2_subset) ).

fof(f167,plain,
    ( element(sK7(sK0,empty_set,sK2(sK0)),the_carrier(sK0))
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f51,f49,f103,f96,f94,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( element(sK7(X0,X1,X2),the_carrier(X0))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | ~ antisymmetric_relstr(X0)
      | ex_sup_of_relstr_set(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f101,plain,
    ~ empty(the_carrier(sK0)),
    inference(unit_resulting_resolution,[],[f48,f98,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',fc1_struct_0) ).

fof(f98,plain,
    one_sorted_str(sK0),
    inference(unit_resulting_resolution,[],[f51,f80]) ).

fof(f80,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => one_sorted_str(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',dt_l1_orders_2) ).

fof(f48,plain,
    ~ empty_carrier(sK0),
    inference(cnf_transformation,[],[f30]) ).

fof(f162,plain,
    spl13_1,
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f161,plain,
    ( $false
    | spl13_1 ),
    inference(subsumption_resolution,[],[f154,f122]) ).

fof(f122,plain,
    ( ~ related(sK0,sK5(sK0,the_carrier(sK0),sK2(sK0)),sK2(sK0))
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f51,f49,f90,f96,f97,f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,sK5(X0,X1,X2),X2)
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_element_smaller(X0,X1,X2)
      | ~ antisymmetric_relstr(X0)
      | ex_inf_of_relstr_set(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_inf_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( related(X0,X3,X2)
                  | ~ relstr_element_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) )
              & relstr_element_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_inf_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( related(X0,X3,X2)
                  | ~ relstr_element_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) )
              & relstr_element_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) )
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ( rel_str(X0)
        & antisymmetric_relstr(X0) )
     => ! [X1] :
          ( ex_inf_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( relstr_element_smaller(X0,X1,X3)
                   => related(X0,X3,X2) ) )
              & relstr_element_smaller(X0,X1,X2)
              & element(X2,the_carrier(X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739',t16_yellow_0) ).

fof(f90,plain,
    ( ~ ex_inf_of_relstr_set(sK0,the_carrier(sK0))
    | spl13_1 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl13_1
  <=> ex_inf_of_relstr_set(sK0,the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f154,plain,
    ( related(sK0,sK5(sK0,the_carrier(sK0),sK2(sK0)),sK2(sK0))
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f51,f96,f105,f120,f121,f75]) ).

fof(f121,plain,
    ( relstr_element_smaller(sK0,the_carrier(sK0),sK5(sK0,the_carrier(sK0),sK2(sK0)))
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f51,f49,f90,f96,f97,f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( relstr_element_smaller(X0,X1,sK5(X0,X1,X2))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_element_smaller(X0,X1,X2)
      | ~ antisymmetric_relstr(X0)
      | ex_inf_of_relstr_set(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f120,plain,
    ( element(sK5(sK0,the_carrier(sK0),sK2(sK0)),the_carrier(sK0))
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f51,f49,f90,f96,f97,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( element(sK5(X0,X1,X2),the_carrier(X0))
      | ~ rel_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_element_smaller(X0,X1,X2)
      | ~ antisymmetric_relstr(X0)
      | ex_inf_of_relstr_set(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f105,plain,
    in(sK2(sK0),the_carrier(sK0)),
    inference(unit_resulting_resolution,[],[f101,f96,f84]) ).

fof(f95,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f47,f92,f88]) ).

fof(f47,plain,
    ( ~ ex_sup_of_relstr_set(sK0,empty_set)
    | ~ ex_inf_of_relstr_set(sK0,the_carrier(sK0)) ),
    inference(cnf_transformation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU360+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 : n009.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 11:43:40 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ENJKGHk4bq/Vampire---4.8_4739
% 0.64/0.80  % (4938)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)
% 0.64/0.80  % (4933)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)
% 0.64/0.80  % (4934)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)
% 0.64/0.80  % (4935)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80  % (4936)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)
% 0.64/0.80  % (4937)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)
% 0.64/0.80  % (4940)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)
% 0.64/0.80  % (4938)Refutation not found, incomplete strategy% (4938)------------------------------
% 0.64/0.80  % (4938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80  % (4938)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80  
% 0.64/0.80  % (4938)Memory used [KB]: 1031
% 0.64/0.80  % (4938)Time elapsed: 0.003 s
% 0.64/0.80  % (4938)Instructions burned: 3 (million)
% 0.64/0.80  % (4938)------------------------------
% 0.64/0.80  % (4938)------------------------------
% 0.64/0.81  % (4939)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)
% 0.64/0.81  % (4940)Refutation not found, incomplete strategy% (4940)------------------------------
% 0.64/0.81  % (4940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (4936)Refutation not found, incomplete strategy% (4936)------------------------------
% 0.64/0.81  % (4936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (4936)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (4936)Memory used [KB]: 1033
% 0.64/0.81  % (4936)Time elapsed: 0.003 s
% 0.64/0.81  % (4936)Instructions burned: 4 (million)
% 0.64/0.81  % (4940)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  % (4933)Refutation not found, incomplete strategy% (4933)------------------------------
% 0.64/0.81  % (4933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (4933)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (4933)Memory used [KB]: 1051
% 0.64/0.81  % (4933)Time elapsed: 0.005 s
% 0.64/0.81  % (4933)Instructions burned: 5 (million)
% 0.64/0.81  
% 0.64/0.81  % (4940)Memory used [KB]: 1035
% 0.64/0.81  % (4940)Time elapsed: 0.004 s
% 0.64/0.81  % (4940)Instructions burned: 3 (million)
% 0.64/0.81  % (4937)Refutation not found, incomplete strategy% (4937)------------------------------
% 0.64/0.81  % (4937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (4937)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  % (4936)------------------------------
% 0.64/0.81  % (4936)------------------------------
% 0.64/0.81  
% 0.64/0.81  % (4937)Memory used [KB]: 1037
% 0.64/0.81  % (4937)Time elapsed: 0.004 s
% 0.64/0.81  % (4937)Instructions burned: 4 (million)
% 0.64/0.81  % (4933)------------------------------
% 0.64/0.81  % (4933)------------------------------
% 0.64/0.81  % (4940)------------------------------
% 0.64/0.81  % (4940)------------------------------
% 0.64/0.81  % (4937)------------------------------
% 0.64/0.81  % (4937)------------------------------
% 0.64/0.81  % (4941)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 (2995ds/55Mi)
% 0.64/0.81  % (4944)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 (2995ds/52Mi)
% 0.64/0.81  % (4943)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 (2995ds/208Mi)
% 0.64/0.81  % (4942)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 (2995ds/50Mi)
% 0.64/0.81  % (4945)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 (2995ds/518Mi)
% 0.64/0.81  % (4939)First to succeed.
% 0.64/0.81  % (4939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4903"
% 0.64/0.81  % (4939)Refutation found. Thanks to Tanya!
% 0.64/0.81  % SZS status Theorem for Vampire---4
% 0.64/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.81  % (4939)------------------------------
% 0.64/0.81  % (4939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (4939)Termination reason: Refutation
% 0.64/0.81  
% 0.64/0.81  % (4939)Memory used [KB]: 1090
% 0.64/0.81  % (4939)Time elapsed: 0.008 s
% 0.64/0.81  % (4939)Instructions burned: 11 (million)
% 0.64/0.81  % (4903)Success in time 0.442 s
% 0.64/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------