TSTP Solution File: GEO126+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO126+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 05:09:39 EDT 2024

% Result   : Theorem 0.59s 0.83s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   78 (  17 unt;   0 def)
%            Number of atoms       :  284 (  22 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  315 ( 109   ~; 101   |;  78   &)
%                                         (  15 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   4 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :  153 ( 122   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f331,f340,f377,f381]) ).

fof(f381,plain,
    ~ spl23_6,
    inference(avatar_contradiction_clause,[],[f378]) ).

fof(f378,plain,
    ( $false
    | ~ spl23_6 ),
    inference(resolution,[],[f376,f352]) ).

fof(f352,plain,
    ~ end_point(sK17(sK22),sK14(sK22)),
    inference(superposition,[],[f236,f300]) ).

fof(f300,plain,
    sK17(sK22) = sK7(sK14(sK22)),
    inference(resolution,[],[f296,f246]) ).

fof(f246,plain,
    ! [X0] : incident_o(sK7(sK14(X0)),X0),
    inference(resolution,[],[f210,f235]) ).

fof(f235,plain,
    ! [X0] : incident_c(sK7(X0),X0),
    inference(resolution,[],[f167,f182]) ).

fof(f182,plain,
    ! [X0] : inner_point(sK7(X0),X0),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] : inner_point(sK7(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ? [X1] : inner_point(X1,X0)
     => inner_point(sK7(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0] :
    ? [X1] : inner_point(X1,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
    ? [X2] : inner_point(X2,X0),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',c3) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( inner_point(X0,X1)
    <=> ( ~ end_point(X0,X1)
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0] :
      ( inner_point(X2,X0)
    <=> ( ~ end_point(X2,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',inner_point_defn) ).

fof(f210,plain,
    ! [X2,X0] :
      ( ~ incident_c(X2,sK14(X0))
      | incident_o(X2,X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X2] :
          ( ( incident_o(X2,X0)
            | ~ incident_c(X2,sK14(X0)) )
          & ( incident_c(X2,sK14(X0))
            | ~ incident_o(X2,X0) ) )
      & open(sK14(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f128,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ( incident_o(X2,X0)
                | ~ incident_c(X2,X1) )
              & ( incident_c(X2,X1)
                | ~ incident_o(X2,X0) ) )
          & open(X1) )
     => ( ! [X2] :
            ( ( incident_o(X2,X0)
              | ~ incident_c(X2,sK14(X0)) )
            & ( incident_c(X2,sK14(X0))
              | ~ incident_o(X2,X0) ) )
        & open(sK14(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( ( incident_o(X2,X0)
            | ~ incident_c(X2,X1) )
          & ( incident_c(X2,X1)
            | ~ incident_o(X2,X0) ) )
      & open(X1) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( incident_o(X2,X0)
        <=> incident_c(X2,X1) )
      & open(X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X8] :
    ? [X0] :
      ( ! [X2] :
          ( incident_o(X2,X8)
        <=> incident_c(X2,X0) )
      & open(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',o2) ).

fof(f296,plain,
    ! [X0] :
      ( ~ incident_o(X0,sK22)
      | sK17(sK22) = X0 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ! [X0] :
      ( sK17(sK22) = X0
      | ~ incident_o(X0,sK22)
      | sK17(sK22) = X0 ),
    inference(resolution,[],[f290,f226]) ).

fof(f226,plain,
    ! [X2,X1] :
      ( ~ ordered_by(sK22,X1,X2)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X1,X2] :
      ( X1 = X2
      | ~ ordered_by(sK22,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f81,f148]) ).

fof(f148,plain,
    ( ? [X0] :
      ! [X1,X2] :
        ( X1 = X2
        | ~ ordered_by(X0,X1,X2) )
   => ! [X2,X1] :
        ( X1 = X2
        | ~ ordered_by(sK22,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ? [X0] :
    ! [X1,X2] :
      ( X1 = X2
      | ~ ordered_by(X0,X1,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ~ ! [X0] :
      ? [X1,X2] :
        ( X1 != X2
        & ordered_by(X0,X1,X2) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X8] :
      ? [X2,X4] :
        ( X2 != X4
        & ordered_by(X8,X2,X4) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X8] :
    ? [X2,X4] :
      ( X2 != X4
      & ordered_by(X8,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',theorem_4_11) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ordered_by(X1,sK17(X1),X0)
      | sK17(X1) = X0
      | ~ incident_o(X0,X1) ),
    inference(resolution,[],[f205,f216]) ).

fof(f216,plain,
    ! [X0] : start_point(sK17(X0),X0),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] : start_point(sK17(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f50,f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ? [X1] : start_point(X1,X0)
     => start_point(sK17(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
    ? [X1] : start_point(X1,X0),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X8] :
    ? [X2] : start_point(X2,X8),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',o4) ).

fof(f205,plain,
    ! [X2,X0,X1] :
      ( ~ start_point(X0,X1)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ordered_by(X1,X0,X2) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ordered_by(X1,X0,X2)
            | ~ incident_o(X2,X1)
            | X0 = X2 )
        & incident_o(X0,X1) )
      | ~ start_point(X0,X1) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ordered_by(X1,X0,X2)
            | ~ incident_o(X2,X1)
            | X0 = X2 )
        & incident_o(X0,X1) )
      | ~ start_point(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( start_point(X0,X1)
     => ( ! [X2] :
            ( ( incident_o(X2,X1)
              & X0 != X2 )
           => ordered_by(X1,X0,X2) )
        & incident_o(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( start_point(X0,X1)
    <=> ( ! [X2] :
            ( ( incident_o(X2,X1)
              & X0 != X2 )
           => ordered_by(X1,X0,X2) )
        & incident_o(X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X8] :
      ( start_point(X2,X8)
    <=> ( ! [X4] :
            ( ( incident_o(X4,X8)
              & X2 != X4 )
           => ordered_by(X8,X2,X4) )
        & incident_o(X2,X8) ) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',start_point_defn) ).

fof(f236,plain,
    ! [X0] : ~ end_point(sK7(X0),X0),
    inference(resolution,[],[f168,f182]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f376,plain,
    ( end_point(sK17(sK22),sK14(sK22))
    | ~ spl23_6 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl23_6
  <=> end_point(sK17(sK22),sK14(sK22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).

fof(f377,plain,
    ( ~ spl23_3
    | spl23_6
    | ~ spl23_4 ),
    inference(avatar_split_clause,[],[f372,f328,f374,f324]) ).

fof(f324,plain,
    ( spl23_3
  <=> open(sK14(sK22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).

fof(f328,plain,
    ( spl23_4
  <=> sK17(sK22) = sK6(sK14(sK22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).

fof(f372,plain,
    ( end_point(sK17(sK22),sK14(sK22))
    | ~ open(sK14(sK22))
    | ~ spl23_4 ),
    inference(superposition,[],[f178,f330]) ).

fof(f330,plain,
    ( sK17(sK22) = sK6(sK14(sK22))
    | ~ spl23_4 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f178,plain,
    ! [X0] :
      ( end_point(sK6(X0),X0)
      | ~ open(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( end_point(sK6(X0),X0)
        | ~ open(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f106,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ? [X2] : end_point(X2,X0)
     => end_point(sK6(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( ? [X2] : end_point(X2,X0)
        | ~ open(X0) ) ),
    inference(rectify,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( ? [X1] : end_point(X1,X0)
        | ~ open(X0) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( open(X0)
    <=> ? [X1] : end_point(X1,X0) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( open(X0)
    <=> ? [X2] : end_point(X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',open_defn) ).

fof(f340,plain,
    spl23_3,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | spl23_3 ),
    inference(resolution,[],[f326,f208]) ).

fof(f208,plain,
    ! [X0] : open(sK14(X0)),
    inference(cnf_transformation,[],[f130]) ).

fof(f326,plain,
    ( ~ open(sK14(sK22))
    | spl23_3 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f331,plain,
    ( ~ spl23_3
    | spl23_4 ),
    inference(avatar_split_clause,[],[f298,f328,f324]) ).

fof(f298,plain,
    ( sK17(sK22) = sK6(sK14(sK22))
    | ~ open(sK14(sK22)) ),
    inference(resolution,[],[f296,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( incident_o(sK6(sK14(X0)),X0)
      | ~ open(sK14(X0)) ),
    inference(resolution,[],[f210,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( incident_c(sK6(X0),X0)
      | ~ open(X0) ),
    inference(resolution,[],[f178,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
          & ~ part_of(sK2(X0,X1),sK3(X0,X1))
          & incident_c(X0,sK3(X0,X1))
          & incident_c(X0,sK2(X0,X1))
          & part_of(sK3(X0,X1),X1)
          & part_of(sK2(X0,X1),X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f93,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ part_of(X3,X2)
          & ~ part_of(X2,X3)
          & incident_c(X0,X3)
          & incident_c(X0,X2)
          & part_of(X3,X1)
          & part_of(X2,X1) )
     => ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
        & ~ part_of(sK2(X0,X1),sK3(X0,X1))
        & incident_c(X0,sK3(X0,X1))
        & incident_c(X0,sK2(X0,X1))
        & part_of(sK3(X0,X1),X1)
        & part_of(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( incident_c(X0,X3)
              & incident_c(X0,X2)
              & part_of(X3,X1)
              & part_of(X2,X1) )
           => ( part_of(X3,X2)
              | part_of(X2,X3) ) )
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( end_point(X2,X0)
    <=> ( ! [X1,X3] :
            ( ( incident_c(X2,X3)
              & incident_c(X2,X1)
              & part_of(X3,X0)
              & part_of(X1,X0) )
           => ( part_of(X3,X1)
              | part_of(X1,X3) ) )
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890',end_point_defn) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO126+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 21:59:22 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.uU9pFPMjY3/Vampire---4.8_21890
% 0.59/0.82  % (22005)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)
% 0.59/0.82  % (22002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.82  % (22000)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)
% 0.59/0.82  % (22003)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)
% 0.59/0.82  % (22004)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)
% 0.59/0.82  % (22001)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)
% 0.59/0.82  % (22006)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)
% 0.59/0.82  % (22007)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)
% 0.59/0.82  % (22007)Refutation not found, incomplete strategy% (22007)------------------------------
% 0.59/0.82  % (22007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22005)Refutation not found, incomplete strategy% (22005)------------------------------
% 0.59/0.82  % (22005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22003)Refutation not found, incomplete strategy% (22003)------------------------------
% 0.59/0.82  % (22003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22003)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22003)Memory used [KB]: 1049
% 0.59/0.82  % (22003)Time elapsed: 0.003 s
% 0.59/0.82  % (22003)Instructions burned: 2 (million)
% 0.59/0.82  % (22005)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22005)Memory used [KB]: 1049
% 0.59/0.82  % (22005)Time elapsed: 0.002 s
% 0.59/0.82  % (22005)Instructions burned: 2 (million)
% 0.59/0.82  % (22007)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22007)Memory used [KB]: 1045
% 0.59/0.82  % (22007)Time elapsed: 0.002 s
% 0.59/0.82  % (22007)Instructions burned: 2 (million)
% 0.59/0.82  % (22000)Refutation not found, incomplete strategy% (22000)------------------------------
% 0.59/0.82  % (22000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22005)------------------------------
% 0.59/0.82  % (22005)------------------------------
% 0.59/0.82  % (22003)------------------------------
% 0.59/0.82  % (22003)------------------------------
% 0.59/0.82  % (22000)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22000)Memory used [KB]: 1068
% 0.59/0.82  % (22007)------------------------------
% 0.59/0.82  % (22007)------------------------------
% 0.59/0.82  % (22000)Time elapsed: 0.003 s
% 0.59/0.82  % (22000)Instructions burned: 3 (million)
% 0.59/0.82  % (22006)Refutation not found, incomplete strategy% (22006)------------------------------
% 0.59/0.82  % (22006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22006)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22006)Memory used [KB]: 1062
% 0.59/0.82  % (22006)Time elapsed: 0.003 s
% 0.59/0.82  % (22006)Instructions burned: 3 (million)
% 0.59/0.82  % (22000)------------------------------
% 0.59/0.82  % (22000)------------------------------
% 0.59/0.82  % (22006)------------------------------
% 0.59/0.82  % (22006)------------------------------
% 0.59/0.82  % (22004)Refutation not found, incomplete strategy% (22004)------------------------------
% 0.59/0.82  % (22004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (22004)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (22004)Memory used [KB]: 1162
% 0.59/0.82  % (22004)Time elapsed: 0.004 s
% 0.59/0.82  % (22004)Instructions burned: 6 (million)
% 0.59/0.82  % (22004)------------------------------
% 0.59/0.82  % (22004)------------------------------
% 0.59/0.83  % (22008)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)
% 0.59/0.83  % (22010)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)
% 0.59/0.83  % (22009)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)
% 0.59/0.83  % (22011)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)
% 0.59/0.83  % (22012)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)
% 0.59/0.83  % (22008)Refutation not found, incomplete strategy% (22008)------------------------------
% 0.59/0.83  % (22008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (22008)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83  
% 0.59/0.83  % (22008)Memory used [KB]: 1048
% 0.59/0.83  % (22008)Time elapsed: 0.002 s
% 0.59/0.83  % (22008)Instructions burned: 2 (million)
% 0.59/0.83  % (22008)------------------------------
% 0.59/0.83  % (22008)------------------------------
% 0.59/0.83  % (22013)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)
% 0.59/0.83  % (22001)First to succeed.
% 0.59/0.83  % (22002)Also succeeded, but the first one will report.
% 0.59/0.83  % (22001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21998"
% 0.59/0.83  % (22001)Refutation found. Thanks to Tanya!
% 0.59/0.83  % SZS status Theorem for Vampire---4
% 0.59/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.83  % (22001)------------------------------
% 0.59/0.83  % (22001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (22001)Termination reason: Refutation
% 0.59/0.83  
% 0.59/0.83  % (22001)Memory used [KB]: 1215
% 0.59/0.83  % (22001)Time elapsed: 0.010 s
% 0.59/0.83  % (22001)Instructions burned: 14 (million)
% 0.59/0.83  % (21998)Success in time 0.489 s
% 0.59/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------