TSTP Solution File: SEU339+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU339+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 : n028.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 03:52:04 EDT 2024

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   90 (  20 unt;   0 def)
%            Number of atoms       :  232 (  13 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  240 (  98   ~;  84   |;  26   &)
%                                         (  13 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   5 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  124 ( 117   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1210,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f237,f480,f485,f1209]) ).

fof(f1209,plain,
    ~ spl13_2,
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f1207,f508]) ).

fof(f508,plain,
    ( ! [X2,X0,X1] : ~ in(ordered_pair(X0,X1),cartesian_product2(sK8,X2))
    | ~ spl13_2 ),
    inference(unit_resulting_resolution,[],[f501,f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | in(X0,X2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t106_zfmisc_1) ).

fof(f501,plain,
    ( ! [X0] : ~ in(X0,sK8)
    | ~ spl13_2 ),
    inference(forward_demodulation,[],[f488,f493]) ).

fof(f493,plain,
    ( the_carrier(sK0) = sK8
    | ~ spl13_2 ),
    inference(unit_resulting_resolution,[],[f93,f122,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & X0 != X1
        & empty(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t8_boole) ).

fof(f122,plain,
    ( empty(the_carrier(sK0))
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl13_2
  <=> empty(the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f93,plain,
    empty(sK8),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ? [X0] : empty(X0),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',rc1_xboole_0) ).

fof(f488,plain,
    ( ! [X0] : ~ in(X0,the_carrier(sK0))
    | ~ spl13_2 ),
    inference(unit_resulting_resolution,[],[f122,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t7_boole) ).

fof(f1207,plain,
    ( in(ordered_pair(sK1,sK2),cartesian_product2(sK8,sK8))
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f1201,f934]) ).

fof(f934,plain,
    ( ~ empty(cartesian_product2(sK8,sK8))
    | ~ spl13_2 ),
    inference(forward_demodulation,[],[f926,f493]) ).

fof(f926,plain,
    ~ empty(cartesian_product2(the_carrier(sK0),the_carrier(sK0))),
    inference(unit_resulting_resolution,[],[f189,f478,f110]) ).

fof(f110,plain,
    ! [X2,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ empty(X2)
      | sP12(X1) ),
    inference(cnf_transformation,[],[f110_D]) ).

fof(f110_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ element(X1,powerset(X2))
          | ~ empty(X2) )
    <=> ~ sP12(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f478,plain,
    element(the_InternalRel(sK0),powerset(cartesian_product2(the_carrier(sK0),the_carrier(sK0)))),
    inference(unit_resulting_resolution,[],[f112,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',dt_m2_relset_1) ).

fof(f112,plain,
    relation_of2_as_subset(the_InternalRel(sK0),the_carrier(sK0),the_carrier(sK0)),
    inference(unit_resulting_resolution,[],[f75,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( rel_str(X0)
     => relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',dt_u1_orders_2) ).

fof(f75,plain,
    rel_str(sK0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( X1 != X2
              & related(X0,X2,X1)
              & related(X0,X1,X2)
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
      & rel_str(X0)
      & antisymmetric_relstr(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( X1 != X2
              & related(X0,X2,X1)
              & related(X0,X1,X2)
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
      & rel_str(X0)
      & antisymmetric_relstr(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & antisymmetric_relstr(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ( ( related(X0,X2,X1)
                    & related(X0,X1,X2) )
                 => X1 = X2 ) ) ) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ! [X0] :
      ( ( rel_str(X0)
        & antisymmetric_relstr(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( ( related(X0,X2,X1)
                  & related(X0,X1,X2) )
               => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t25_orders_2) ).

fof(f189,plain,
    ~ sP12(the_InternalRel(sK0)),
    inference(unit_resulting_resolution,[],[f155,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ sP12(X1) ),
    inference(general_splitting,[],[f77,f110_D]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X2))
      | ~ empty(X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t5_subset) ).

fof(f155,plain,
    in(ordered_pair(sK2,sK1),the_InternalRel(sK0)),
    inference(unit_resulting_resolution,[],[f75,f71,f69,f73,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0)
      | ~ related(X0,X1,X2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',d9_orders_2) ).

fof(f73,plain,
    element(sK1,the_carrier(sK0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f69,plain,
    element(sK2,the_carrier(sK0)),
    inference(cnf_transformation,[],[f49]) ).

fof(f71,plain,
    related(sK0,sK2,sK1),
    inference(cnf_transformation,[],[f49]) ).

fof(f1201,plain,
    ( empty(cartesian_product2(sK8,sK8))
    | in(ordered_pair(sK1,sK2),cartesian_product2(sK8,sK8))
    | ~ spl13_2 ),
    inference(resolution,[],[f936,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t2_subset) ).

fof(f936,plain,
    ( element(ordered_pair(sK1,sK2),cartesian_product2(sK8,sK8))
    | ~ spl13_2 ),
    inference(forward_demodulation,[],[f924,f493]) ).

fof(f924,plain,
    element(ordered_pair(sK1,sK2),cartesian_product2(the_carrier(sK0),the_carrier(sK0))),
    inference(unit_resulting_resolution,[],[f156,f478,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',t4_subset) ).

fof(f156,plain,
    in(ordered_pair(sK1,sK2),the_InternalRel(sK0)),
    inference(unit_resulting_resolution,[],[f75,f70,f69,f73,f91]) ).

fof(f70,plain,
    related(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f49]) ).

fof(f485,plain,
    ( ~ spl13_5
    | ~ spl13_1
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f349,f234,f116,f198]) ).

fof(f198,plain,
    ( spl13_5
  <=> relation(the_InternalRel(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f116,plain,
    ( spl13_1
  <=> in(sK2,the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f234,plain,
    ( spl13_7
  <=> in(sK1,the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f349,plain,
    ( ~ relation(the_InternalRel(sK0))
    | ~ spl13_1
    | ~ spl13_7 ),
    inference(unit_resulting_resolution,[],[f236,f118,f113,f72,f155,f156,f97]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X3,X2),X0)
      | ~ in(X2,X1)
      | ~ in(X3,X1)
      | ~ in(ordered_pair(X2,X3),X0)
      | ~ relation(X0)
      | X2 = X3
      | ~ is_antisymmetric_in(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( X2 = X3
              | ~ in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( X2 = X3
              | ~ in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X2,X3),X0)
              | ~ in(X3,X1)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_antisymmetric_in(X0,X1)
        <=> ! [X2,X3] :
              ( ( in(ordered_pair(X3,X2),X0)
                & in(ordered_pair(X2,X3),X0)
                & in(X3,X1)
                & in(X2,X1) )
             => X2 = X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',d4_relat_2) ).

fof(f72,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f49]) ).

fof(f113,plain,
    is_antisymmetric_in(the_InternalRel(sK0),the_carrier(sK0)),
    inference(unit_resulting_resolution,[],[f74,f75,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
      | ~ rel_str(X0)
      | ~ antisymmetric_relstr(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( antisymmetric_relstr(X0)
      <=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( antisymmetric_relstr(X0)
      <=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',d6_orders_2) ).

fof(f74,plain,
    antisymmetric_relstr(sK0),
    inference(cnf_transformation,[],[f49]) ).

fof(f118,plain,
    ( in(sK2,the_carrier(sK0))
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f236,plain,
    ( in(sK1,the_carrier(sK0))
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f480,plain,
    spl13_5,
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | spl13_5 ),
    inference(subsumption_resolution,[],[f478,f219]) ).

fof(f219,plain,
    ( ! [X0,X1] : ~ element(the_InternalRel(sK0),powerset(cartesian_product2(X0,X1)))
    | spl13_5 ),
    inference(unit_resulting_resolution,[],[f200,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(cartesian_product2(X0,X1)))
      | relation(X2) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.bNNN6C1eiV/Vampire---4.8_17300',cc1_relset_1) ).

fof(f200,plain,
    ( ~ relation(the_InternalRel(sK0))
    | spl13_5 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f237,plain,
    ( spl13_7
    | spl13_2 ),
    inference(avatar_split_clause,[],[f157,f120,f234]) ).

fof(f157,plain,
    ( empty(the_carrier(sK0))
    | in(sK1,the_carrier(sK0)) ),
    inference(resolution,[],[f73,f79]) ).

fof(f123,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f114,f120,f116]) ).

fof(f114,plain,
    ( empty(the_carrier(sK0))
    | in(sK2,the_carrier(sK0)) ),
    inference(resolution,[],[f69,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEU339+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15  % 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 : n028.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   : Tue Apr 30 16:35:45 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.bNNN6C1eiV/Vampire---4.8_17300
% 0.55/0.75  % (17516)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (17521)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)
% 0.55/0.76  % (17514)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)
% 0.55/0.76  % (17521)Refutation not found, incomplete strategy% (17521)------------------------------
% 0.55/0.76  % (17521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17521)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (17521)Memory used [KB]: 1050
% 0.55/0.76  % (17521)Time elapsed: 0.002 s
% 0.55/0.76  % (17517)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)
% 0.55/0.76  % (17521)Instructions burned: 3 (million)
% 0.55/0.76  % (17521)------------------------------
% 0.55/0.76  % (17521)------------------------------
% 0.55/0.76  % (17515)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)
% 0.55/0.76  % (17518)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)
% 0.55/0.76  % (17519)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)
% 0.55/0.76  % (17520)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)
% 0.55/0.76  % (17517)Refutation not found, incomplete strategy% (17517)------------------------------
% 0.55/0.76  % (17517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17517)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (17517)Memory used [KB]: 1033
% 0.55/0.76  % (17517)Time elapsed: 0.003 s
% 0.55/0.76  % (17517)Instructions burned: 3 (million)
% 0.55/0.76  % (17517)------------------------------
% 0.55/0.76  % (17517)------------------------------
% 0.55/0.76  % (17519)Refutation not found, incomplete strategy% (17519)------------------------------
% 0.55/0.76  % (17519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17519)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (17519)Memory used [KB]: 1052
% 0.55/0.76  % (17519)Time elapsed: 0.003 s
% 0.55/0.76  % (17519)Instructions burned: 4 (million)
% 0.55/0.76  % (17519)------------------------------
% 0.55/0.76  % (17519)------------------------------
% 0.55/0.76  % (17524)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)
% 0.55/0.76  % (17514)Refutation not found, incomplete strategy% (17514)------------------------------
% 0.55/0.76  % (17514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (17514)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (17514)Memory used [KB]: 1055
% 0.55/0.76  % (17514)Time elapsed: 0.004 s
% 0.55/0.76  % (17514)Instructions burned: 5 (million)
% 0.55/0.76  % (17514)------------------------------
% 0.55/0.76  % (17514)------------------------------
% 0.55/0.77  % (17529)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)
% 0.55/0.77  % (17528)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)
% 0.55/0.77  % (17530)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)
% 0.61/0.77  % (17518)Instruction limit reached!
% 0.61/0.77  % (17518)------------------------------
% 0.61/0.77  % (17518)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (17518)Termination reason: Unknown
% 0.61/0.77  % (17518)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (17518)Memory used [KB]: 1397
% 0.61/0.77  % (17518)Time elapsed: 0.019 s
% 0.61/0.77  % (17518)Instructions burned: 35 (million)
% 0.61/0.77  % (17518)------------------------------
% 0.61/0.77  % (17518)------------------------------
% 0.61/0.78  % (17524)Instruction limit reached!
% 0.61/0.78  % (17524)------------------------------
% 0.61/0.78  % (17524)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (17524)Termination reason: Unknown
% 0.61/0.78  % (17524)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (17524)Memory used [KB]: 2005
% 0.61/0.78  % (17524)Time elapsed: 0.018 s
% 0.61/0.78  % (17524)Instructions burned: 57 (million)
% 0.61/0.78  % (17524)------------------------------
% 0.61/0.78  % (17524)------------------------------
% 0.61/0.78  % (17533)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)
% 0.61/0.78  % (17516)Instruction limit reached!
% 0.61/0.78  % (17516)------------------------------
% 0.61/0.78  % (17516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (17516)Termination reason: Unknown
% 0.61/0.78  % (17516)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (17516)Memory used [KB]: 1546
% 0.61/0.78  % (17516)Time elapsed: 0.025 s
% 0.61/0.78  % (17516)Instructions burned: 79 (million)
% 0.61/0.78  % (17516)------------------------------
% 0.61/0.78  % (17516)------------------------------
% 0.61/0.78  % (17535)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 (2995ds/42Mi)
% 0.61/0.78  % (17520)First to succeed.
% 0.61/0.78  % (17533)Refutation not found, incomplete strategy% (17533)------------------------------
% 0.61/0.78  % (17533)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (17533)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (17533)Memory used [KB]: 1045
% 0.61/0.78  % (17533)Time elapsed: 0.026 s
% 0.61/0.78  % (17533)Instructions burned: 5 (million)
% 0.61/0.78  % (17533)------------------------------
% 0.61/0.78  % (17533)------------------------------
% 0.61/0.78  % (17537)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.78  % (17520)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Theorem for Vampire---4
% 0.61/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (17520)------------------------------
% 0.61/0.78  % (17520)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (17520)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (17520)Memory used [KB]: 1513
% 0.61/0.78  % (17520)Time elapsed: 0.027 s
% 0.61/0.78  % (17520)Instructions burned: 43 (million)
% 0.61/0.78  % (17520)------------------------------
% 0.61/0.78  % (17520)------------------------------
% 0.61/0.78  % (17466)Success in time 0.425 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------