TSTP Solution File: GEO125+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO125+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 : 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 : Sun May  5 05:09:39 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   67 (  11 unt;   0 def)
%            Number of atoms       :  284 (  34 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  325 ( 108   ~; 105   |;  87   &)
%                                         (  14 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   5 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-4 aty)
%            Number of variables   :  158 ( 135   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f517,plain,
    $false,
    inference(avatar_sat_refutation,[],[f339,f401,f407,f501,f516]) ).

fof(f516,plain,
    spl25_11,
    inference(avatar_contradiction_clause,[],[f505]) ).

fof(f505,plain,
    ( $false
    | spl25_11 ),
    inference(resolution,[],[f406,f243]) ).

fof(f243,plain,
    incident_o(sK23,sK22),
    inference(resolution,[],[f210,f232]) ).

fof(f232,plain,
    finish_point(sK23,sK22),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( sK23 != sK24
    & finish_point(sK24,sK22)
    & finish_point(sK23,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f85,f152]) ).

fof(f152,plain,
    ( ? [X0,X1,X2] :
        ( X1 != X2
        & finish_point(X2,X0)
        & finish_point(X1,X0) )
   => ( sK23 != sK24
      & finish_point(sK24,sK22)
      & finish_point(sK23,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ? [X0,X1,X2] :
      ( X1 != X2
      & finish_point(X2,X0)
      & finish_point(X1,X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ? [X0,X1,X2] :
      ( X1 != X2
      & finish_point(X2,X0)
      & finish_point(X1,X0) ),
    inference(ennf_transformation,[],[f54]) ).

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

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

fof(f28,conjecture,
    ! [X8,X2,X4] :
      ( ( finish_point(X4,X8)
        & finish_point(X2,X8) )
     => X2 = X4 ),
    file('/export/starexec/sandbox/tmp/tmp.MjkFMRUMs0/Vampire---4.8_2778',corollary_4_10_2) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ finish_point(X0,X1)
      | incident_o(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ordered_by(X1,X2,X0)
            | ~ incident_o(X2,X1)
            | X0 = X2 )
        & incident_o(X0,X1) )
      | ~ finish_point(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ordered_by(X1,X2,X0)
            | ~ incident_o(X2,X1)
            | X0 = X2 )
        & incident_o(X0,X1) )
      | ~ finish_point(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( finish_point(X0,X1)
     => ( ! [X2] :
            ( ( incident_o(X2,X1)
              & X0 != X2 )
           => ordered_by(X1,X2,X0) )
        & incident_o(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( finish_point(X0,X1)
    <=> ( ! [X2] :
            ( ( incident_o(X2,X1)
              & X0 != X2 )
           => ordered_by(X1,X2,X0) )
        & incident_o(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X8] :
      ( finish_point(X2,X8)
    <=> ( ! [X4] :
            ( ( incident_o(X4,X8)
              & X2 != X4 )
           => ordered_by(X8,X4,X2) )
        & incident_o(X2,X8) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MjkFMRUMs0/Vampire---4.8_2778',finish_point_defn) ).

fof(f406,plain,
    ( ~ incident_o(sK23,sK22)
    | spl25_11 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl25_11
  <=> incident_o(sK23,sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f501,plain,
    ( ~ spl25_1
    | spl25_2
    | ~ spl25_6 ),
    inference(avatar_split_clause,[],[f492,f353,f327,f323]) ).

fof(f323,plain,
    ( spl25_1
  <=> incident_o(sK24,sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f327,plain,
    ( spl25_2
  <=> sK23 = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f353,plain,
    ( spl25_6
  <=> ordered_by(sK22,sK23,sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f492,plain,
    ( sK23 = sK24
    | ~ incident_o(sK24,sK22)
    | ~ spl25_6 ),
    inference(resolution,[],[f485,f426]) ).

fof(f426,plain,
    ( ! [X0] :
        ( between_o(sK22,X0,sK23,sK24)
        | sK23 = X0
        | ~ incident_o(X0,sK22) )
    | ~ spl25_6 ),
    inference(resolution,[],[f409,f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ordered_by(sK22,X0,sK23)
      | sK23 = X0
      | ~ incident_o(X0,sK22) ),
    inference(resolution,[],[f211,f232]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( ~ finish_point(X0,X1)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ordered_by(X1,X2,X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f409,plain,
    ( ! [X0] :
        ( ~ ordered_by(sK22,X0,sK23)
        | between_o(sK22,X0,sK23,sK24) )
    | ~ spl25_6 ),
    inference(resolution,[],[f355,f206]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ordered_by(X0,X2,X3)
      | between_o(X0,X1,X2,X3)
      | ~ ordered_by(X0,X1,X2) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X0,X1,X2,X3)
        | ( ( ~ ordered_by(X0,X2,X1)
            | ~ ordered_by(X0,X3,X2) )
          & ( ~ ordered_by(X0,X2,X3)
            | ~ ordered_by(X0,X1,X2) ) ) )
      & ( ( ordered_by(X0,X2,X1)
          & ordered_by(X0,X3,X2) )
        | ( ordered_by(X0,X2,X3)
          & ordered_by(X0,X1,X2) )
        | ~ between_o(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X0,X1,X2,X3)
        | ( ( ~ ordered_by(X0,X2,X1)
            | ~ ordered_by(X0,X3,X2) )
          & ( ~ ordered_by(X0,X2,X3)
            | ~ ordered_by(X0,X1,X2) ) ) )
      & ( ( ordered_by(X0,X2,X1)
          & ordered_by(X0,X3,X2) )
        | ( ordered_by(X0,X2,X3)
          & ordered_by(X0,X1,X2) )
        | ~ between_o(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] :
      ( between_o(X0,X1,X2,X3)
    <=> ( ( ordered_by(X0,X2,X1)
          & ordered_by(X0,X3,X2) )
        | ( ordered_by(X0,X2,X3)
          & ordered_by(X0,X1,X2) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X8,X2,X4,X6] :
      ( between_o(X8,X2,X4,X6)
    <=> ( ( ordered_by(X8,X4,X2)
          & ordered_by(X8,X6,X4) )
        | ( ordered_by(X8,X4,X6)
          & ordered_by(X8,X2,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MjkFMRUMs0/Vampire---4.8_2778',between_o_defn) ).

fof(f355,plain,
    ( ordered_by(sK22,sK23,sK24)
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f485,plain,
    ! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
    inference(resolution,[],[f219,f239]) ).

fof(f239,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f196]) ).

fof(f196,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | ! [X4] :
            ( ~ inner_point(X2,X4)
            | ~ end_point(X3,X4)
            | ~ end_point(X1,X4)
            | ~ part_of(X4,X0) )
        | X1 = X3 )
      & ( ( inner_point(X2,sK13(X0,X1,X2,X3))
          & end_point(X3,sK13(X0,X1,X2,X3))
          & end_point(X1,sK13(X0,X1,X2,X3))
          & part_of(sK13(X0,X1,X2,X3),X0)
          & X1 != X3 )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f127,f128]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X5] :
          ( inner_point(X2,X5)
          & end_point(X3,X5)
          & end_point(X1,X5)
          & part_of(X5,X0) )
     => ( inner_point(X2,sK13(X0,X1,X2,X3))
        & end_point(X3,sK13(X0,X1,X2,X3))
        & end_point(X1,sK13(X0,X1,X2,X3))
        & part_of(sK13(X0,X1,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | ! [X4] :
            ( ~ inner_point(X2,X4)
            | ~ end_point(X3,X4)
            | ~ end_point(X1,X4)
            | ~ part_of(X4,X0) )
        | X1 = X3 )
      & ( ( ? [X5] :
              ( inner_point(X2,X5)
              & end_point(X3,X5)
              & end_point(X1,X5)
              & part_of(X5,X0) )
          & X1 != X3 )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | ! [X4] :
            ( ~ inner_point(X2,X4)
            | ~ end_point(X3,X4)
            | ~ end_point(X1,X4)
            | ~ part_of(X4,X0) )
        | X1 = X3 )
      & ( ( ? [X4] :
              ( inner_point(X2,X4)
              & end_point(X3,X4)
              & end_point(X1,X4)
              & part_of(X4,X0) )
          & X1 != X3 )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | ! [X4] :
            ( ~ inner_point(X2,X4)
            | ~ end_point(X3,X4)
            | ~ end_point(X1,X4)
            | ~ part_of(X4,X0) )
        | X1 = X3 )
      & ( ( ? [X4] :
              ( inner_point(X2,X4)
              & end_point(X3,X4)
              & end_point(X1,X4)
              & part_of(X4,X0) )
          & X1 != X3 )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
    <=> ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X2,X4,X6] :
      ( between_c(X0,X2,X4,X6)
    <=> ( ? [X7] :
            ( inner_point(X4,X7)
            & end_point(X6,X7)
            & end_point(X2,X7)
            & part_of(X7,X0) )
        & X2 != X6 ) ),
    file('/export/starexec/sandbox/tmp/tmp.MjkFMRUMs0/Vampire---4.8_2778',between_c_defn) ).

fof(f219,plain,
    ! [X2,X3,X0,X1] :
      ( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
      | ~ between_o(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ~ between_c(X4,X0,X1,X2)
            | ( ( ~ incident_c(sK15(X3,X4),X4)
                | ~ incident_o(sK15(X3,X4),X3) )
              & ( incident_c(sK15(X3,X4),X4)
                | incident_o(sK15(X3,X4),X3) ) ) ) )
      & ( ( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
          & ! [X7] :
              ( ( incident_o(X7,X3)
                | ~ incident_c(X7,sK16(X0,X1,X2,X3)) )
              & ( incident_c(X7,sK16(X0,X1,X2,X3))
                | ~ incident_o(X7,X3) ) ) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f136,f138,f137]) ).

fof(f137,plain,
    ! [X3,X4] :
      ( ? [X5] :
          ( ( ~ incident_c(X5,X4)
            | ~ incident_o(X5,X3) )
          & ( incident_c(X5,X4)
            | incident_o(X5,X3) ) )
     => ( ( ~ incident_c(sK15(X3,X4),X4)
          | ~ incident_o(sK15(X3,X4),X3) )
        & ( incident_c(sK15(X3,X4),X4)
          | incident_o(sK15(X3,X4),X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X6] :
          ( between_c(X6,X0,X1,X2)
          & ! [X7] :
              ( ( incident_o(X7,X3)
                | ~ incident_c(X7,X6) )
              & ( incident_c(X7,X6)
                | ~ incident_o(X7,X3) ) ) )
     => ( between_c(sK16(X0,X1,X2,X3),X0,X1,X2)
        & ! [X7] :
            ( ( incident_o(X7,X3)
              | ~ incident_c(X7,sK16(X0,X1,X2,X3)) )
            & ( incident_c(X7,sK16(X0,X1,X2,X3))
              | ~ incident_o(X7,X3) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ~ between_c(X4,X0,X1,X2)
            | ? [X5] :
                ( ( ~ incident_c(X5,X4)
                  | ~ incident_o(X5,X3) )
                & ( incident_c(X5,X4)
                  | incident_o(X5,X3) ) ) ) )
      & ( ? [X6] :
            ( between_c(X6,X0,X1,X2)
            & ! [X7] :
                ( ( incident_o(X7,X3)
                  | ~ incident_c(X7,X6) )
                & ( incident_c(X7,X6)
                  | ~ incident_o(X7,X3) ) ) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ~ between_c(X4,X0,X1,X2)
            | ? [X5] :
                ( ( ~ incident_c(X5,X4)
                  | ~ incident_o(X5,X3) )
                & ( incident_c(X5,X4)
                  | incident_o(X5,X3) ) ) ) )
      & ( ? [X4] :
            ( between_c(X4,X0,X1,X2)
            & ! [X5] :
                ( ( incident_o(X5,X3)
                  | ~ incident_c(X5,X4) )
                & ( incident_c(X5,X4)
                  | ~ incident_o(X5,X3) ) ) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( between_o(X3,X0,X1,X2)
    <=> ? [X4] :
          ( between_c(X4,X0,X1,X2)
          & ! [X5] :
              ( incident_o(X5,X3)
            <=> incident_c(X5,X4) ) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X4,X6,X8] :
      ( between_o(X8,X2,X4,X6)
    <=> ? [X0] :
          ( between_c(X0,X2,X4,X6)
          & ! [X2] :
              ( incident_o(X2,X8)
            <=> incident_c(X2,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MjkFMRUMs0/Vampire---4.8_2778',o3) ).

fof(f407,plain,
    ( ~ spl25_11
    | spl25_2
    | spl25_6 ),
    inference(avatar_split_clause,[],[f402,f353,f327,f404]) ).

fof(f402,plain,
    ( sK23 = sK24
    | ~ incident_o(sK23,sK22)
    | spl25_6 ),
    inference(resolution,[],[f354,f304]) ).

fof(f304,plain,
    ! [X0] :
      ( ordered_by(sK22,X0,sK24)
      | sK24 = X0
      | ~ incident_o(X0,sK22) ),
    inference(resolution,[],[f211,f233]) ).

fof(f233,plain,
    finish_point(sK24,sK22),
    inference(cnf_transformation,[],[f153]) ).

fof(f354,plain,
    ( ~ ordered_by(sK22,sK23,sK24)
    | spl25_6 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f401,plain,
    spl25_1,
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | spl25_1 ),
    inference(resolution,[],[f325,f244]) ).

fof(f244,plain,
    incident_o(sK24,sK22),
    inference(resolution,[],[f210,f233]) ).

fof(f325,plain,
    ( ~ incident_o(sK24,sK22)
    | spl25_1 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f339,plain,
    ~ spl25_2,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl25_2 ),
    inference(trivial_inequality_removal,[],[f336]) ).

fof(f336,plain,
    ( sK23 != sK23
    | ~ spl25_2 ),
    inference(superposition,[],[f234,f329]) ).

fof(f329,plain,
    ( sK23 = sK24
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f234,plain,
    sK23 != sK24,
    inference(cnf_transformation,[],[f153]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:55:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.MjkFMRUMs0/Vampire---4.8_2778
% 0.54/0.75  % (3006)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)
% 0.54/0.75  % (3009)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)
% 0.54/0.75  % (3010)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)
% 0.54/0.75  % (3011)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)
% 0.54/0.75  % (3009)Refutation not found, incomplete strategy% (3009)------------------------------
% 0.54/0.75  % (3009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (3009)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (3009)Memory used [KB]: 981
% 0.54/0.75  % (3009)Time elapsed: 0.002 s
% 0.54/0.75  % (3009)Instructions burned: 2 (million)
% 0.54/0.75  % (3009)------------------------------
% 0.54/0.75  % (3009)------------------------------
% 0.54/0.75  % (3011)Refutation not found, incomplete strategy% (3011)------------------------------
% 0.54/0.75  % (3011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (3011)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (3011)Memory used [KB]: 1049
% 0.54/0.75  % (3011)Time elapsed: 0.003 s
% 0.54/0.75  % (3011)Instructions burned: 2 (million)
% 0.54/0.75  % (3011)------------------------------
% 0.54/0.75  % (3011)------------------------------
% 0.54/0.75  % (3013)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)
% 0.54/0.75  % (3006)Refutation not found, incomplete strategy% (3006)------------------------------
% 0.54/0.75  % (3006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (3006)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (3006)Memory used [KB]: 1069
% 0.54/0.75  % (3006)Time elapsed: 0.003 s
% 0.54/0.75  % (3006)Instructions burned: 3 (million)
% 0.54/0.75  % (3012)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)
% 0.54/0.75  % (3013)Refutation not found, incomplete strategy% (3013)------------------------------
% 0.54/0.75  % (3013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (3013)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (3013)Memory used [KB]: 1067
% 0.54/0.75  % (3013)Time elapsed: 0.004 s
% 0.54/0.75  % (3013)Instructions burned: 2 (million)
% 0.54/0.75  % (3007)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)
% 0.54/0.75  % (3008)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (3013)------------------------------
% 0.54/0.75  % (3013)------------------------------
% 0.54/0.75  % (3014)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)
% 0.54/0.75  % (3014)Refutation not found, incomplete strategy% (3014)------------------------------
% 0.54/0.75  % (3014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (3014)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (3014)Memory used [KB]: 981
% 0.54/0.75  % (3014)Time elapsed: 0.001 s
% 0.54/0.75  % (3014)Instructions burned: 2 (million)
% 0.54/0.75  % (3014)------------------------------
% 0.54/0.75  % (3014)------------------------------
% 0.60/0.75  % (3006)------------------------------
% 0.60/0.75  % (3006)------------------------------
% 0.60/0.75  % (3015)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)
% 0.60/0.75  % (3017)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)
% 0.60/0.75  % (3016)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)
% 0.60/0.76  % (3018)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)
% 0.60/0.76  % (3018)Refutation not found, incomplete strategy% (3018)------------------------------
% 0.60/0.76  % (3018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (3018)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (3018)Memory used [KB]: 1150
% 0.60/0.76  % (3018)Time elapsed: 0.005 s
% 0.60/0.76  % (3018)Instructions burned: 7 (million)
% 0.60/0.76  % (3018)------------------------------
% 0.60/0.76  % (3018)------------------------------
% 0.60/0.76  % (3007)First to succeed.
% 0.60/0.76  % (3008)Also succeeded, but the first one will report.
% 0.60/0.76  % (3007)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3002"
% 0.60/0.76  % (3019)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 (2996ds/42Mi)
% 0.60/0.76  % (3007)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (3007)------------------------------
% 0.60/0.76  % (3007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (3007)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (3007)Memory used [KB]: 1242
% 0.60/0.76  % (3007)Time elapsed: 0.014 s
% 0.60/0.76  % (3007)Instructions burned: 19 (million)
% 0.60/0.76  % (3002)Success in time 0.396 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------