TSTP Solution File: SEU227+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU227+2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 09:21:14 EDT 2024

% Result   : Theorem 1.67s 0.97s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (   9 unt;   0 def)
%            Number of atoms       :  311 (  27 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  394 ( 144   ~; 138   |;  79   &)
%                                         (  14 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :  206 ( 158   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1466,plain,
    $false,
    inference(resolution,[],[f1465,f753]) ).

fof(f753,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f495]) ).

fof(f495,plain,
    ( ~ subset(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4)))
    & subset(sK4,relation_dom(sK5))
    & relation(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f286,f494]) ).

fof(f494,plain,
    ( ? [X0,X1] :
        ( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
        & subset(X0,relation_dom(X1))
        & relation(X1) )
   => ( ~ subset(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4)))
      & subset(sK4,relation_dom(sK5))
      & relation(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f286,plain,
    ? [X0,X1] :
      ( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
      & subset(X0,relation_dom(X1))
      & relation(X1) ),
    inference(flattening,[],[f285]) ).

fof(f285,plain,
    ? [X0,X1] :
      ( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
      & subset(X0,relation_dom(X1))
      & relation(X1) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f152,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( subset(X0,relation_dom(X1))
         => subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
    inference(negated_conjecture,[],[f151]) ).

fof(f151,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( subset(X0,relation_dom(X1))
       => subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b2v1nS4O5b/Vampire---4.8_12958',t146_funct_1) ).

fof(f1465,plain,
    ~ relation(sK5),
    inference(resolution,[],[f1464,f1441]) ).

fof(f1441,plain,
    in(ordered_pair(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))))),sK5),
    inference(resolution,[],[f1426,f753]) ).

fof(f1426,plain,
    ( ~ relation(sK5)
    | in(ordered_pair(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))))),sK5) ),
    inference(resolution,[],[f1423,f1181]) ).

fof(f1181,plain,
    ! [X0,X5] :
      ( ~ in(X5,relation_dom(X0))
      | in(ordered_pair(X5,sK33(X0,X5)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f961]) ).

fof(f961,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK33(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f599]) ).

fof(f599,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK31(X0,X1),X3),X0)
                | ~ in(sK31(X0,X1),X1) )
              & ( in(ordered_pair(sK31(X0,X1),sK32(X0,X1)),X0)
                | in(sK31(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK33(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33])],[f595,f598,f597,f596]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK31(X0,X1),X3),X0)
          | ~ in(sK31(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK31(X0,X1),X4),X0)
          | in(sK31(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK31(X0,X1),X4),X0)
     => in(ordered_pair(sK31(X0,X1),sK32(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f598,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK33(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f595,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f594]) ).

fof(f594,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f396]) ).

fof(f396,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b2v1nS4O5b/Vampire---4.8_12958',d4_relat_1) ).

fof(f1423,plain,
    in(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),relation_dom(sK5)),
    inference(resolution,[],[f1421,f1418]) ).

fof(f1418,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | in(X0,relation_dom(sK5)) ),
    inference(resolution,[],[f754,f916]) ).

fof(f916,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK19(X0,X1),X1)
          & in(sK19(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f560,f561]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK19(X0,X1),X1)
        & in(sK19(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f559]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f386]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b2v1nS4O5b/Vampire---4.8_12958',d3_tarski) ).

fof(f754,plain,
    subset(sK4,relation_dom(sK5)),
    inference(cnf_transformation,[],[f495]) ).

fof(f1421,plain,
    in(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),sK4),
    inference(resolution,[],[f755,f917]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK19(X0,X1),X0) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f755,plain,
    ~ subset(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),
    inference(cnf_transformation,[],[f495]) ).

fof(f1464,plain,
    ( ~ in(ordered_pair(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))))),sK5)
    | ~ relation(sK5) ),
    inference(resolution,[],[f1450,f1421]) ).

fof(f1450,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | ~ relation(sK5)
      | ~ in(ordered_pair(X0,sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))))),sK5) ),
    inference(duplicate_literal_removal,[],[f1449]) ).

fof(f1449,plain,
    ! [X0] :
      ( ~ relation(sK5)
      | ~ in(X0,sK4)
      | ~ in(ordered_pair(X0,sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))))),sK5)
      | ~ relation(sK5) ),
    inference(resolution,[],[f1445,f1203]) ).

fof(f1203,plain,
    ! [X0,X1,X6,X7] :
      ( in(X6,relation_image(X0,X1))
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X7,X6),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f1034]) ).

fof(f1034,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X7,X6),X0)
      | relation_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f652]) ).

fof(f652,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( ~ in(X4,X1)
                    | ~ in(ordered_pair(X4,sK56(X0,X1,X2)),X0) )
                | ~ in(sK56(X0,X1,X2),X2) )
              & ( ( in(sK57(X0,X1,X2),X1)
                  & in(ordered_pair(sK57(X0,X1,X2),sK56(X0,X1,X2)),X0) )
                | in(sK56(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X7,X6),X0) ) )
                & ( ( in(sK58(X0,X1,X6),X1)
                    & in(ordered_pair(sK58(X0,X1,X6),X6),X0) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58])],[f648,f651,f650,f649]) ).

fof(f649,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X1)
                | ~ in(ordered_pair(X4,X3),X0) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( in(X5,X1)
                & in(ordered_pair(X5,X3),X0) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,X1)
              | ~ in(ordered_pair(X4,sK56(X0,X1,X2)),X0) )
          | ~ in(sK56(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( in(X5,X1)
              & in(ordered_pair(X5,sK56(X0,X1,X2)),X0) )
          | in(sK56(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f650,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X1)
          & in(ordered_pair(X5,sK56(X0,X1,X2)),X0) )
     => ( in(sK57(X0,X1,X2),X1)
        & in(ordered_pair(sK57(X0,X1,X2),sK56(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f651,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( in(X8,X1)
          & in(ordered_pair(X8,X6),X0) )
     => ( in(sK58(X0,X1,X6),X1)
        & in(ordered_pair(sK58(X0,X1,X6),X6),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f648,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(X5,X1)
                      & in(ordered_pair(X5,X3),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X7,X6),X0) ) )
                & ( ? [X8] :
                      ( in(X8,X1)
                      & in(ordered_pair(X8,X6),X0) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f647]) ).

fof(f647,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X4,X3),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X4,X3),X0) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X4,X3),X0) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f416]) ).

fof(f416,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b2v1nS4O5b/Vampire---4.8_12958',d13_relat_1) ).

fof(f1445,plain,
    ( ~ in(sK33(sK5,sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4)))),relation_image(sK5,sK4))
    | ~ relation(sK5) ),
    inference(resolution,[],[f1441,f1439]) ).

fof(f1439,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),X0),sK5)
      | ~ in(X0,relation_image(sK5,sK4))
      | ~ relation(sK5) ),
    inference(resolution,[],[f1422,f1211]) ).

fof(f1211,plain,
    ! [X0,X1,X6,X7] :
      ( in(X6,relation_inverse_image(X0,X1))
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X6,X7),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f1048]) ).

fof(f1048,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X6,X7),X0)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f664]) ).

fof(f664,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( ~ in(X4,X1)
                    | ~ in(ordered_pair(sK62(X0,X1,X2),X4),X0) )
                | ~ in(sK62(X0,X1,X2),X2) )
              & ( ( in(sK63(X0,X1,X2),X1)
                  & in(ordered_pair(sK62(X0,X1,X2),sK63(X0,X1,X2)),X0) )
                | in(sK62(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ( in(sK64(X0,X1,X6),X1)
                    & in(ordered_pair(X6,sK64(X0,X1,X6)),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63,sK64])],[f660,f663,f662,f661]) ).

fof(f661,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X1)
                | ~ in(ordered_pair(X3,X4),X0) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( in(X5,X1)
                & in(ordered_pair(X3,X5),X0) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,X1)
              | ~ in(ordered_pair(sK62(X0,X1,X2),X4),X0) )
          | ~ in(sK62(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( in(X5,X1)
              & in(ordered_pair(sK62(X0,X1,X2),X5),X0) )
          | in(sK62(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f662,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X1)
          & in(ordered_pair(sK62(X0,X1,X2),X5),X0) )
     => ( in(sK63(X0,X1,X2),X1)
        & in(ordered_pair(sK62(X0,X1,X2),sK63(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f663,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( in(X8,X1)
          & in(ordered_pair(X6,X8),X0) )
     => ( in(sK64(X0,X1,X6),X1)
        & in(ordered_pair(X6,sK64(X0,X1,X6)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f660,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(X5,X1)
                      & in(ordered_pair(X3,X5),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ? [X8] :
                      ( in(X8,X1)
                      & in(ordered_pair(X6,X8),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f659]) ).

fof(f659,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f419]) ).

fof(f419,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b2v1nS4O5b/Vampire---4.8_12958',d14_relat_1) ).

fof(f1422,plain,
    ~ in(sK19(sK4,relation_inverse_image(sK5,relation_image(sK5,sK4))),relation_inverse_image(sK5,relation_image(sK5,sK4))),
    inference(resolution,[],[f755,f918]) ).

fof(f918,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK19(X0,X1),X1) ),
    inference(cnf_transformation,[],[f562]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU227+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n018.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 12:03:01 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.b2v1nS4O5b/Vampire---4.8_12958
% 0.60/0.77  % (13340)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)
% 0.60/0.77  % (13334)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)
% 0.60/0.77  % (13336)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77  % (13335)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)
% 0.60/0.77  % (13337)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)
% 0.60/0.77  % (13338)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)
% 0.60/0.77  % (13339)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)
% 0.60/0.77  % (13341)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)
% 0.60/0.79  % (13334)Instruction limit reached!
% 0.60/0.79  % (13334)------------------------------
% 0.60/0.79  % (13334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13334)Termination reason: Unknown
% 0.60/0.79  % (13334)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13334)Memory used [KB]: 1850
% 0.60/0.79  % (13334)Time elapsed: 0.019 s
% 0.60/0.79  % (13334)Instructions burned: 35 (million)
% 0.60/0.79  % (13334)------------------------------
% 0.60/0.79  % (13334)------------------------------
% 0.60/0.79  % (13337)Instruction limit reached!
% 0.60/0.79  % (13337)------------------------------
% 0.60/0.79  % (13337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13337)Termination reason: Unknown
% 0.60/0.79  % (13337)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13337)Memory used [KB]: 1877
% 0.60/0.79  % (13337)Time elapsed: 0.019 s
% 0.60/0.79  % (13337)Instructions burned: 34 (million)
% 0.60/0.79  % (13337)------------------------------
% 0.60/0.79  % (13337)------------------------------
% 0.60/0.79  % (13338)Instruction limit reached!
% 0.60/0.79  % (13338)------------------------------
% 0.60/0.79  % (13338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13338)Termination reason: Unknown
% 0.60/0.79  % (13338)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13338)Memory used [KB]: 1976
% 0.60/0.79  % (13338)Time elapsed: 0.020 s
% 0.60/0.79  % (13338)Instructions burned: 35 (million)
% 0.60/0.79  % (13338)------------------------------
% 0.60/0.79  % (13338)------------------------------
% 0.60/0.79  % (13356)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)
% 0.60/0.79  % (13357)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)
% 0.60/0.79  % (13358)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)
% 0.60/0.79  % (13339)Instruction limit reached!
% 0.60/0.79  % (13339)------------------------------
% 0.60/0.79  % (13339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13339)Termination reason: Unknown
% 0.60/0.79  % (13339)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13339)Memory used [KB]: 1999
% 0.60/0.79  % (13339)Time elapsed: 0.026 s
% 0.60/0.79  % (13339)Instructions burned: 46 (million)
% 0.60/0.79  % (13339)------------------------------
% 0.60/0.79  % (13339)------------------------------
% 0.60/0.79  % (13340)Instruction limit reached!
% 0.60/0.79  % (13340)------------------------------
% 0.60/0.79  % (13340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (13340)Termination reason: Unknown
% 0.60/0.79  % (13340)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (13340)Memory used [KB]: 2531
% 0.60/0.79  % (13340)Time elapsed: 0.027 s
% 0.60/0.80  % (13340)Instructions burned: 84 (million)
% 0.60/0.80  % (13340)------------------------------
% 0.60/0.80  % (13340)------------------------------
% 0.60/0.80  % (13362)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)
% 0.60/0.80  % (13363)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)
% 0.60/0.80  % (13335)Instruction limit reached!
% 0.60/0.80  % (13335)------------------------------
% 0.60/0.80  % (13335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (13335)Termination reason: Unknown
% 0.60/0.80  % (13335)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (13335)Memory used [KB]: 2007
% 0.60/0.80  % (13335)Time elapsed: 0.031 s
% 0.60/0.80  % (13335)Instructions burned: 53 (million)
% 0.60/0.80  % (13335)------------------------------
% 0.60/0.80  % (13335)------------------------------
% 0.60/0.80  % (13341)Instruction limit reached!
% 0.60/0.80  % (13341)------------------------------
% 0.60/0.80  % (13341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (13341)Termination reason: Unknown
% 0.60/0.80  % (13341)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (13341)Memory used [KB]: 2103
% 0.60/0.80  % (13341)Time elapsed: 0.032 s
% 0.60/0.80  % (13341)Instructions burned: 56 (million)
% 0.60/0.80  % (13341)------------------------------
% 0.60/0.80  % (13341)------------------------------
% 0.60/0.80  % (13369)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)
% 0.60/0.81  % (13373)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)
% 0.80/0.81  % (13362)Instruction limit reached!
% 0.80/0.81  % (13362)------------------------------
% 0.80/0.81  % (13362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.81  % (13362)Termination reason: Unknown
% 0.80/0.81  % (13362)Termination phase: Saturation
% 0.80/0.81  
% 0.80/0.81  % (13362)Memory used [KB]: 2027
% 0.80/0.81  % (13362)Time elapsed: 0.016 s
% 0.80/0.81  % (13362)Instructions burned: 54 (million)
% 0.80/0.81  % (13362)------------------------------
% 0.80/0.81  % (13362)------------------------------
% 0.80/0.81  % (13381)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.80/0.82  % (13336)Instruction limit reached!
% 0.80/0.82  % (13336)------------------------------
% 0.80/0.82  % (13336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.82  % (13336)Termination reason: Unknown
% 0.80/0.82  % (13336)Termination phase: Saturation
% 0.80/0.82  
% 0.80/0.82  % (13336)Memory used [KB]: 2338
% 0.80/0.82  % (13336)Time elapsed: 0.047 s
% 0.80/0.82  % (13336)Instructions burned: 78 (million)
% 0.80/0.82  % (13336)------------------------------
% 0.80/0.82  % (13336)------------------------------
% 0.80/0.82  % (13357)Instruction limit reached!
% 0.80/0.82  % (13357)------------------------------
% 0.80/0.82  % (13357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.82  % (13357)Termination reason: Unknown
% 0.80/0.82  % (13357)Termination phase: Saturation
% 0.80/0.82  
% 0.80/0.82  % (13357)Memory used [KB]: 2169
% 0.80/0.82  % (13357)Time elapsed: 0.028 s
% 0.80/0.82  % (13357)Instructions burned: 51 (million)
% 0.80/0.82  % (13357)------------------------------
% 0.80/0.82  % (13357)------------------------------
% 0.80/0.82  % (13382)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.80/0.82  % (13356)Instruction limit reached!
% 0.80/0.82  % (13356)------------------------------
% 0.80/0.82  % (13356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.82  % (13356)Termination reason: Unknown
% 0.80/0.82  % (13356)Termination phase: Saturation
% 0.80/0.82  
% 0.80/0.82  % (13356)Memory used [KB]: 2039
% 0.80/0.82  % (13356)Time elapsed: 0.031 s
% 0.80/0.82  % (13356)Instructions burned: 56 (million)
% 0.80/0.82  % (13356)------------------------------
% 0.80/0.82  % (13356)------------------------------
% 0.80/0.82  % (13383)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.80/0.82  % (13384)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.80/0.83  % (13369)Instruction limit reached!
% 0.80/0.83  % (13369)------------------------------
% 0.80/0.83  % (13369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.83  % (13369)Termination reason: Unknown
% 0.80/0.83  % (13369)Termination phase: Saturation
% 0.80/0.83  
% 0.80/0.83  % (13369)Memory used [KB]: 2016
% 0.80/0.83  % (13369)Time elapsed: 0.024 s
% 0.80/0.83  % (13369)Instructions burned: 43 (million)
% 0.80/0.83  % (13369)------------------------------
% 0.80/0.83  % (13369)------------------------------
% 0.80/0.83  % (13388)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.80/0.85  % (13388)Instruction limit reached!
% 0.80/0.85  % (13388)------------------------------
% 0.80/0.85  % (13388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.85  % (13388)Termination reason: Unknown
% 0.80/0.85  % (13388)Termination phase: Saturation
% 0.80/0.85  
% 0.80/0.85  % (13388)Memory used [KB]: 1656
% 0.80/0.85  % (13388)Time elapsed: 0.019 s
% 0.80/0.85  % (13388)Instructions burned: 33 (million)
% 0.80/0.85  % (13388)------------------------------
% 0.80/0.85  % (13388)------------------------------
% 0.80/0.85  % (13381)Instruction limit reached!
% 0.80/0.85  % (13381)------------------------------
% 0.80/0.85  % (13381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.85  % (13381)Termination reason: Unknown
% 0.80/0.85  % (13381)Termination phase: Saturation
% 0.80/0.85  
% 0.80/0.85  % (13381)Memory used [KB]: 2527
% 0.80/0.85  % (13381)Time elapsed: 0.037 s
% 0.80/0.85  % (13381)Instructions burned: 118 (million)
% 0.80/0.85  % (13381)------------------------------
% 0.80/0.85  % (13381)------------------------------
% 0.80/0.85  % (13402)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.80/0.85  % (13404)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.80/0.86  % (13384)Instruction limit reached!
% 0.80/0.86  % (13384)------------------------------
% 0.80/0.86  % (13384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.86  % (13384)Termination reason: Unknown
% 0.80/0.86  % (13384)Termination phase: Saturation
% 0.80/0.86  
% 0.80/0.86  % (13384)Memory used [KB]: 2247
% 0.80/0.86  % (13384)Time elapsed: 0.036 s
% 0.80/0.86  % (13384)Instructions burned: 62 (million)
% 0.80/0.86  % (13384)------------------------------
% 0.80/0.86  % (13384)------------------------------
% 1.05/0.86  % (13407)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 1.05/0.87  % (13404)Instruction limit reached!
% 1.05/0.87  % (13404)------------------------------
% 1.05/0.87  % (13404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.87  % (13404)Termination reason: Unknown
% 1.05/0.87  % (13404)Termination phase: Saturation
% 1.05/0.87  
% 1.05/0.87  % (13404)Memory used [KB]: 2193
% 1.05/0.87  % (13404)Time elapsed: 0.016 s
% 1.05/0.87  % (13404)Instructions burned: 55 (million)
% 1.05/0.87  % (13404)------------------------------
% 1.05/0.87  % (13404)------------------------------
% 1.05/0.87  % (13410)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.05/0.88  % (13383)Instruction limit reached!
% 1.05/0.88  % (13383)------------------------------
% 1.05/0.88  % (13383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.88  % (13383)Termination reason: Unknown
% 1.05/0.88  % (13383)Termination phase: Saturation
% 1.05/0.88  
% 1.05/0.88  % (13383)Memory used [KB]: 2217
% 1.05/0.88  % (13383)Time elapsed: 0.057 s
% 1.05/0.88  % (13383)Instructions burned: 93 (million)
% 1.05/0.88  % (13383)------------------------------
% 1.05/0.88  % (13383)------------------------------
% 1.05/0.88  % (13415)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.05/0.88  % (13410)Instruction limit reached!
% 1.05/0.88  % (13410)------------------------------
% 1.05/0.88  % (13410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.88  % (13410)Termination reason: Unknown
% 1.05/0.88  % (13410)Termination phase: Saturation
% 1.05/0.88  
% 1.05/0.88  % (13410)Memory used [KB]: 2174
% 1.05/0.88  % (13410)Time elapsed: 0.014 s
% 1.05/0.88  % (13410)Instructions burned: 46 (million)
% 1.05/0.88  % (13410)------------------------------
% 1.05/0.88  % (13410)------------------------------
% 1.05/0.89  % (13407)Instruction limit reached!
% 1.05/0.89  % (13407)------------------------------
% 1.05/0.89  % (13407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.89  % (13407)Termination reason: Unknown
% 1.05/0.89  % (13407)Termination phase: Saturation
% 1.05/0.89  
% 1.05/0.89  % (13407)Memory used [KB]: 2018
% 1.05/0.89  % (13407)Time elapsed: 0.029 s
% 1.05/0.89  % (13407)Instructions burned: 53 (million)
% 1.05/0.89  % (13407)------------------------------
% 1.05/0.89  % (13407)------------------------------
% 1.05/0.89  % (13419)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.05/0.89  % (13417)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.05/0.90  % (13382)Instruction limit reached!
% 1.05/0.90  % (13382)------------------------------
% 1.05/0.90  % (13382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.90  % (13382)Termination reason: Unknown
% 1.05/0.90  % (13382)Termination phase: Saturation
% 1.05/0.90  
% 1.05/0.90  % (13382)Memory used [KB]: 2809
% 1.05/0.90  % (13382)Time elapsed: 0.078 s
% 1.05/0.90  % (13382)Instructions burned: 145 (million)
% 1.05/0.90  % (13382)------------------------------
% 1.05/0.90  % (13382)------------------------------
% 1.05/0.90  % (13423)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.05/0.90  % (13417)Instruction limit reached!
% 1.05/0.90  % (13417)------------------------------
% 1.05/0.90  % (13417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.90  % (13417)Termination reason: Unknown
% 1.05/0.90  % (13417)Termination phase: Saturation
% 1.05/0.90  
% 1.05/0.90  % (13417)Memory used [KB]: 1930
% 1.05/0.90  % (13417)Time elapsed: 0.011 s
% 1.05/0.90  % (13417)Instructions burned: 37 (million)
% 1.05/0.90  % (13417)------------------------------
% 1.05/0.90  % (13417)------------------------------
% 1.05/0.91  % (13428)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.05/0.91  % (13358)Instruction limit reached!
% 1.05/0.91  % (13358)------------------------------
% 1.05/0.91  % (13358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.91  % (13358)Termination reason: Unknown
% 1.05/0.91  % (13358)Termination phase: Saturation
% 1.05/0.91  
% 1.05/0.91  % (13358)Memory used [KB]: 3294
% 1.05/0.91  % (13358)Time elapsed: 0.119 s
% 1.05/0.91  % (13358)Instructions burned: 208 (million)
% 1.05/0.91  % (13358)------------------------------
% 1.05/0.91  % (13358)------------------------------
% 1.05/0.91  % (13430)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.05/0.92  % (13419)Instruction limit reached!
% 1.05/0.92  % (13419)------------------------------
% 1.05/0.92  % (13419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.92  % (13419)Termination reason: Unknown
% 1.05/0.92  % (13419)Termination phase: Saturation
% 1.05/0.92  
% 1.05/0.92  % (13419)Memory used [KB]: 2180
% 1.05/0.92  % (13419)Time elapsed: 0.029 s
% 1.05/0.92  % (13419)Instructions burned: 88 (million)
% 1.05/0.92  % (13419)------------------------------
% 1.05/0.92  % (13419)------------------------------
% 1.05/0.92  % (13431)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.05/0.92  % (13415)Instruction limit reached!
% 1.05/0.92  % (13415)------------------------------
% 1.05/0.92  % (13415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.92  % (13415)Termination reason: Unknown
% 1.05/0.92  % (13415)Termination phase: Saturation
% 1.05/0.92  
% 1.05/0.92  % (13415)Memory used [KB]: 3486
% 1.05/0.92  % (13415)Time elapsed: 0.043 s
% 1.05/0.92  % (13415)Instructions burned: 102 (million)
% 1.05/0.92  % (13415)------------------------------
% 1.05/0.92  % (13415)------------------------------
% 1.05/0.93  % (13373)Instruction limit reached!
% 1.05/0.93  % (13373)------------------------------
% 1.05/0.93  % (13373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.93  % (13373)Termination reason: Unknown
% 1.05/0.93  % (13373)Termination phase: Saturation
% 1.05/0.93  
% 1.05/0.93  % (13373)Memory used [KB]: 3118
% 1.05/0.93  % (13373)Time elapsed: 0.123 s
% 1.05/0.93  % (13373)Instructions burned: 245 (million)
% 1.05/0.93  % (13373)------------------------------
% 1.05/0.93  % (13373)------------------------------
% 1.05/0.93  % (13432)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.05/0.93  % (13433)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.05/0.93  % (13423)Instruction limit reached!
% 1.05/0.93  % (13423)------------------------------
% 1.05/0.93  % (13423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.93  % (13431)Instruction limit reached!
% 1.05/0.93  % (13431)------------------------------
% 1.05/0.93  % (13431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.93  % (13431)Termination reason: Unknown
% 1.05/0.93  % (13431)Termination phase: Saturation
% 1.05/0.93  
% 1.05/0.93  % (13431)Memory used [KB]: 1908
% 1.05/0.93  % (13431)Time elapsed: 0.013 s
% 1.05/0.93  % (13431)Instructions burned: 40 (million)
% 1.05/0.93  % (13431)------------------------------
% 1.05/0.93  % (13431)------------------------------
% 1.05/0.93  % (13423)Termination reason: Unknown
% 1.05/0.93  % (13423)Termination phase: Saturation
% 1.05/0.93  
% 1.05/0.93  % (13423)Memory used [KB]: 2459
% 1.05/0.93  % (13423)Time elapsed: 0.037 s
% 1.05/0.93  % (13423)Instructions burned: 111 (million)
% 1.05/0.93  % (13423)------------------------------
% 1.05/0.93  % (13423)------------------------------
% 1.05/0.94  % (13430)Instruction limit reached!
% 1.05/0.94  % (13430)------------------------------
% 1.05/0.94  % (13430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.94  % (13430)Termination reason: Unknown
% 1.05/0.94  % (13430)Termination phase: Saturation
% 1.05/0.94  
% 1.05/0.94  % (13430)Memory used [KB]: 2410
% 1.05/0.94  % (13430)Time elapsed: 0.025 s
% 1.05/0.94  % (13430)Instructions burned: 70 (million)
% 1.05/0.94  % (13430)------------------------------
% 1.05/0.94  % (13430)------------------------------
% 1.05/0.94  % (13434)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.05/0.94  % (13435)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.05/0.94  % (13436)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.67/0.95  % (13435)Instruction limit reached!
% 1.67/0.95  % (13435)------------------------------
% 1.67/0.95  % (13435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.95  % (13435)Termination reason: Unknown
% 1.67/0.95  % (13435)Termination phase: Saturation
% 1.67/0.95  
% 1.67/0.95  % (13435)Memory used [KB]: 1880
% 1.67/0.95  % (13435)Time elapsed: 0.014 s
% 1.67/0.95  % (13435)Instructions burned: 38 (million)
% 1.67/0.95  % (13435)------------------------------
% 1.67/0.95  % (13435)------------------------------
% 1.67/0.95  % (13439)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.67/0.96  % (13428)Instruction limit reached!
% 1.67/0.96  % (13428)------------------------------
% 1.67/0.96  % (13428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.96  % (13428)Termination reason: Unknown
% 1.67/0.96  % (13428)Termination phase: Saturation
% 1.67/0.96  
% 1.67/0.96  % (13428)Memory used [KB]: 3069
% 1.67/0.96  % (13428)Time elapsed: 0.049 s
% 1.67/0.96  % (13428)Instructions burned: 161 (million)
% 1.67/0.96  % (13428)------------------------------
% 1.67/0.96  % (13428)------------------------------
% 1.67/0.96  % (13436)Instruction limit reached!
% 1.67/0.96  % (13436)------------------------------
% 1.67/0.96  % (13436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.96  % (13436)Termination reason: Unknown
% 1.67/0.96  % (13436)Termination phase: Saturation
% 1.67/0.96  
% 1.67/0.96  % (13436)Memory used [KB]: 1820
% 1.67/0.96  % (13436)Time elapsed: 0.019 s
% 1.67/0.96  % (13436)Instructions burned: 57 (million)
% 1.67/0.96  % (13436)------------------------------
% 1.67/0.96  % (13436)------------------------------
% 1.67/0.96  % (13442)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.67/0.96  % (13444)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.67/0.96  % (13434)Instruction limit reached!
% 1.67/0.96  % (13434)------------------------------
% 1.67/0.96  % (13434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.96  % (13434)Termination reason: Unknown
% 1.67/0.96  % (13434)Termination phase: Saturation
% 1.67/0.96  
% 1.67/0.96  % (13434)Memory used [KB]: 2035
% 1.67/0.96  % (13434)Time elapsed: 0.025 s
% 1.67/0.96  % (13434)Instructions burned: 80 (million)
% 1.67/0.96  % (13434)------------------------------
% 1.67/0.96  % (13434)------------------------------
% 1.67/0.96  % (13447)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 1.67/0.97  % (13442)Instruction limit reached!
% 1.67/0.97  % (13442)------------------------------
% 1.67/0.97  % (13442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.97  % (13442)Termination reason: Unknown
% 1.67/0.97  % (13442)Termination phase: Saturation
% 1.67/0.97  
% 1.67/0.97  % (13442)Memory used [KB]: 1831
% 1.67/0.97  % (13442)Time elapsed: 0.009 s
% 1.67/0.97  % (13442)Instructions burned: 32 (million)
% 1.67/0.97  % (13442)------------------------------
% 1.67/0.97  % (13442)------------------------------
% 1.67/0.97  % (13439)Instruction limit reached!
% 1.67/0.97  % (13439)------------------------------
% 1.67/0.97  % (13439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.97  % (13439)Termination reason: Unknown
% 1.67/0.97  % (13439)Termination phase: Saturation
% 1.67/0.97  
% 1.67/0.97  % (13439)Memory used [KB]: 2026
% 1.67/0.97  % (13439)Time elapsed: 0.016 s
% 1.67/0.97  % (13439)Instructions burned: 47 (million)
% 1.67/0.97  % (13439)------------------------------
% 1.67/0.97  % (13439)------------------------------
% 1.67/0.97  % (13450)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 1.67/0.97  % (13451)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 1.67/0.97  % (13447)First to succeed.
% 1.67/0.97  % (13447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13211"
% 1.67/0.97  % (13447)Refutation found. Thanks to Tanya!
% 1.67/0.97  % SZS status Theorem for Vampire---4
% 1.67/0.97  % SZS output start Proof for Vampire---4
% See solution above
% 1.67/0.97  % (13447)------------------------------
% 1.67/0.97  % (13447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.67/0.97  % (13447)Termination reason: Refutation
% 1.67/0.97  
% 1.67/0.97  % (13447)Memory used [KB]: 1716
% 1.67/0.97  % (13447)Time elapsed: 0.011 s
% 1.67/0.97  % (13447)Instructions burned: 35 (million)
% 1.67/0.97  % (13211)Success in time 0.616 s
% 1.67/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------