TSTP Solution File: SET650+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 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 09:07:50 EDT 2024

% Result   : Theorem 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   70 (  11 unt;   0 def)
%            Number of atoms       :  247 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  295 ( 118   ~; 113   |;  17   &)
%                                         (  15 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :  132 ( 125   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f228,plain,
    $false,
    inference(avatar_sat_refutation,[],[f127,f159,f227]) ).

fof(f227,plain,
    spl18_2,
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f226,plain,
    ( $false
    | spl18_2 ),
    inference(subsumption_resolution,[],[f217,f168]) ).

fof(f168,plain,
    ( ! [X0] : ~ member(ordered_pair(sK5(domain_of(sK2),sK0),X0),sK2)
    | spl18_2 ),
    inference(unit_resulting_resolution,[],[f64,f167,f115]) ).

fof(f115,plain,
    ! [X2,X3,X4] :
      ( ~ member(ordered_pair(X2,X3),X4)
      | ~ ilf_type(X3,set_type)
      | sP16(X2,X4) ),
    inference(cnf_transformation,[],[f115_D]) ).

fof(f115_D,plain,
    ! [X4,X2] :
      ( ! [X3] :
          ( ~ member(ordered_pair(X2,X3),X4)
          | ~ ilf_type(X3,set_type) )
    <=> ~ sP16(X2,X4) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f167,plain,
    ( ~ sP16(sK5(domain_of(sK2),sK0),sK2)
    | spl18_2 ),
    inference(unit_resulting_resolution,[],[f133,f64,f166,f117]) ).

fof(f117,plain,
    ! [X2,X0,X4] :
      ( ~ sP16(X2,X4)
      | member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | sP17(X4,X0) ),
    inference(cnf_transformation,[],[f117_D]) ).

fof(f117_D,plain,
    ! [X0,X4] :
      ( ! [X2] :
          ( ~ sP16(X2,X4)
          | member(X2,X0)
          | ~ ilf_type(X2,set_type) )
    <=> ~ sP17(X4,X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f166,plain,
    ( ~ member(sK5(domain_of(sK2),sK0),sK0)
    | spl18_2 ),
    inference(unit_resulting_resolution,[],[f64,f64,f126,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ member(sK5(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p10) ).

fof(f126,plain,
    ( ~ subset(domain_of(sK2),sK0)
    | spl18_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl18_2
  <=> subset(domain_of(sK2),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f133,plain,
    ~ sP17(sK2,sK0),
    inference(unit_resulting_resolution,[],[f64,f64,f61,f118]) ).

fof(f118,plain,
    ! [X0,X1,X4] :
      ( ~ ilf_type(X4,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ sP17(X4,X0) ),
    inference(general_splitting,[],[f116,f117_D]) ).

fof(f116,plain,
    ! [X2,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | member(X2,X0)
      | ~ sP16(X2,X4) ),
    inference(general_splitting,[],[f87,f115_D]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ! [X3] :
                  ( ilf_type(X3,set_type)
                 => ! [X4] :
                      ( ilf_type(X4,relation_type(X0,X1))
                     => ( member(ordered_pair(X2,X3),X4)
                       => ( member(X3,X1)
                          & member(X2,X0) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p3) ).

fof(f61,plain,
    ilf_type(sK2,relation_type(sK0,sK1)),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ subset(range_of(X2),X1)
                | ~ subset(domain_of(X2),X0) )
              & ilf_type(X2,relation_type(X0,X1)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ( subset(range_of(X2),X1)
                  & subset(domain_of(X2),X0) ) ) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',prove_relset_1_12) ).

fof(f64,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p26) ).

fof(f217,plain,
    ( member(ordered_pair(sK5(domain_of(sK2),sK0),sK4(sK5(domain_of(sK2),sK0),sK2)),sK2)
    | spl18_2 ),
    inference(unit_resulting_resolution,[],[f142,f64,f165,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X0,sK4(X0,X1)),X1)
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,domain_of(X1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,domain_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X0,X2),X1)
                & ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( member(X0,domain_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X0,X2),X1)
                & ilf_type(X2,set_type) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p1) ).

fof(f165,plain,
    ( member(sK5(domain_of(sK2),sK0),domain_of(sK2))
    | spl18_2 ),
    inference(unit_resulting_resolution,[],[f64,f64,f126,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f142,plain,
    ilf_type(sK2,binary_relation_type),
    inference(unit_resulting_resolution,[],[f64,f137,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p13) ).

fof(f137,plain,
    relation_like(sK2),
    inference(unit_resulting_resolution,[],[f64,f64,f131,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | relation_like(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p23) ).

fof(f131,plain,
    ilf_type(sK2,subset_type(cross_product(sK0,sK1))),
    inference(unit_resulting_resolution,[],[f64,f64,f61,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p8) ).

fof(f159,plain,
    spl18_1,
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | spl18_1 ),
    inference(subsumption_resolution,[],[f149,f147]) ).

fof(f147,plain,
    ( ! [X0] : ~ member(ordered_pair(X0,sK5(range_of(sK2),sK1)),sK2)
    | spl18_1 ),
    inference(unit_resulting_resolution,[],[f64,f136,f111]) ).

fof(f111,plain,
    ! [X2,X3,X4] :
      ( ~ member(ordered_pair(X2,X3),X4)
      | ~ ilf_type(X2,set_type)
      | sP14(X4,X3) ),
    inference(cnf_transformation,[],[f111_D]) ).

fof(f111_D,plain,
    ! [X3,X4] :
      ( ! [X2] :
          ( ~ member(ordered_pair(X2,X3),X4)
          | ~ ilf_type(X2,set_type) )
    <=> ~ sP14(X4,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f136,plain,
    ( ~ sP14(sK2,sK5(range_of(sK2),sK1))
    | spl18_1 ),
    inference(unit_resulting_resolution,[],[f132,f64,f130,f113]) ).

fof(f113,plain,
    ! [X3,X1,X4] :
      ( ~ sP14(X4,X3)
      | member(X3,X1)
      | ~ ilf_type(X3,set_type)
      | sP15(X4,X1) ),
    inference(cnf_transformation,[],[f113_D]) ).

fof(f113_D,plain,
    ! [X1,X4] :
      ( ! [X3] :
          ( ~ sP14(X4,X3)
          | member(X3,X1)
          | ~ ilf_type(X3,set_type) )
    <=> ~ sP15(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f130,plain,
    ( ~ member(sK5(range_of(sK2),sK1),sK1)
    | spl18_1 ),
    inference(unit_resulting_resolution,[],[f64,f64,f122,f76]) ).

fof(f122,plain,
    ( ~ subset(range_of(sK2),sK1)
    | spl18_1 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl18_1
  <=> subset(range_of(sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f132,plain,
    ~ sP15(sK2,sK1),
    inference(unit_resulting_resolution,[],[f64,f64,f61,f114]) ).

fof(f114,plain,
    ! [X0,X1,X4] :
      ( ~ ilf_type(X4,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ sP15(X4,X1) ),
    inference(general_splitting,[],[f112,f113_D]) ).

fof(f112,plain,
    ! [X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | member(X3,X1)
      | ~ sP14(X4,X3) ),
    inference(general_splitting,[],[f88,f111_D]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f149,plain,
    ( member(ordered_pair(sK7(sK5(range_of(sK2),sK1),sK2),sK5(range_of(sK2),sK1)),sK2)
    | spl18_1 ),
    inference(unit_resulting_resolution,[],[f142,f64,f129,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( member(ordered_pair(sK7(X0,X1),X0),X1)
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,range_of(X1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,range_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X2,X0),X1)
                & ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( member(X0,range_of(X1))
          <=> ? [X2] :
                ( member(ordered_pair(X2,X0),X1)
                & ilf_type(X2,set_type) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1aFDTdwtZN/Vampire---4.8_25745',p2) ).

fof(f129,plain,
    ( member(sK5(range_of(sK2),sK1),range_of(sK2))
    | spl18_1 ),
    inference(unit_resulting_resolution,[],[f64,f64,f122,f75]) ).

fof(f127,plain,
    ( ~ spl18_1
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f60,f124,f120]) ).

fof(f60,plain,
    ( ~ subset(domain_of(sK2),sK0)
    | ~ subset(range_of(sK2),sK1) ),
    inference(cnf_transformation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.11  % 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
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 17:04:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.1aFDTdwtZN/Vampire---4.8_25745
% 0.55/0.76  % (25854)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)
% 0.55/0.76  % (25855)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.76  % (25858)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)
% 0.55/0.76  % (25853)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)
% 0.55/0.76  % (25857)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)
% 0.55/0.76  % (25856)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)
% 0.55/0.76  % (25859)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)
% 0.55/0.76  % (25860)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)
% 0.55/0.76  % (25858)Refutation not found, incomplete strategy% (25858)------------------------------
% 0.55/0.76  % (25858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (25858)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (25858)Memory used [KB]: 1031
% 0.55/0.76  % (25860)Refutation not found, incomplete strategy% (25860)------------------------------
% 0.55/0.76  % (25860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (25858)Time elapsed: 0.003 s
% 0.55/0.76  % (25858)Instructions burned: 3 (million)
% 0.55/0.76  % (25860)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (25860)Memory used [KB]: 1034
% 0.55/0.76  % (25860)Time elapsed: 0.003 s
% 0.55/0.76  % (25860)Instructions burned: 3 (million)
% 0.55/0.76  % (25858)------------------------------
% 0.55/0.76  % (25858)------------------------------
% 0.55/0.76  % (25860)------------------------------
% 0.55/0.76  % (25860)------------------------------
% 0.55/0.76  % (25857)Refutation not found, incomplete strategy% (25857)------------------------------
% 0.55/0.76  % (25857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (25857)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (25857)Memory used [KB]: 1109
% 0.55/0.76  % (25857)Time elapsed: 0.004 s
% 0.55/0.76  % (25857)Instructions burned: 5 (million)
% 0.55/0.76  % (25857)------------------------------
% 0.55/0.76  % (25857)------------------------------
% 0.55/0.76  % (25859)First to succeed.
% 0.55/0.77  % (25861)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)
% 0.55/0.77  % (25862)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)
% 0.55/0.77  % (25859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25852"
% 0.55/0.77  % (25863)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)
% 0.55/0.77  % (25859)Refutation found. Thanks to Tanya!
% 0.55/0.77  % SZS status Theorem for Vampire---4
% 0.55/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.77  % (25859)------------------------------
% 0.55/0.77  % (25859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (25859)Termination reason: Refutation
% 0.55/0.77  
% 0.55/0.77  % (25859)Memory used [KB]: 1126
% 0.55/0.77  % (25859)Time elapsed: 0.007 s
% 0.55/0.77  % (25859)Instructions burned: 10 (million)
% 0.55/0.77  % (25852)Success in time 0.443 s
% 0.55/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------