TSTP Solution File: SEU227+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:32:40 EDT 2022

% Result   : Theorem 2.99s 0.85s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   59 (  10 unt;   0 def)
%            Number of atoms       :  310 (  29 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  381 ( 130   ~; 127   |;  83   &)
%                                         (  18 <=>;  23  =>;   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   :  216 ( 164   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1280,plain,
    $false,
    inference(subsumption_resolution,[],[f1276,f1275]) ).

fof(f1275,plain,
    ~ in(sK20(sK16,sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15)))),relation_image(sK16,sK15)),
    inference(unit_resulting_resolution,[],[f179,f220,f500,f207]) ).

fof(f207,plain,
    ! [X2,X3,X0,X5] :
      ( ~ in(ordered_pair(X3,X5),X0)
      | in(X3,relation_inverse_image(X0,X2))
      | ~ in(X5,X2)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f147]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1,X5] :
      ( in(X3,X1)
      | ~ in(ordered_pair(X3,X5),X0)
      | ~ in(X5,X2)
      | relation_inverse_image(X0,X2) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(ordered_pair(X3,sK5(X0,X2,X3)),X0)
                    & in(sK5(X0,X2,X3),X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X5] :
                      ( ~ in(ordered_pair(X3,X5),X0)
                      | ~ in(X5,X2) ) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ( ( ~ in(sK6(X0,X1,X2),X1)
                | ! [X7] :
                    ( ~ in(ordered_pair(sK6(X0,X1,X2),X7),X0)
                    | ~ in(X7,X2) ) )
              & ( in(sK6(X0,X1,X2),X1)
                | ( in(ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)),X0)
                  & in(sK7(X0,X1,X2),X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f90,f93,f92,f91]) ).

fof(f91,plain,
    ! [X0,X2,X3] :
      ( ? [X4] :
          ( in(ordered_pair(X3,X4),X0)
          & in(X4,X2) )
     => ( in(ordered_pair(X3,sK5(X0,X2,X3)),X0)
        & in(sK5(X0,X2,X3),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ( ~ in(X6,X1)
            | ! [X7] :
                ( ~ in(ordered_pair(X6,X7),X0)
                | ~ in(X7,X2) ) )
          & ( in(X6,X1)
            | ? [X8] :
                ( in(ordered_pair(X6,X8),X0)
                & in(X8,X2) ) ) )
     => ( ( ~ in(sK6(X0,X1,X2),X1)
          | ! [X7] :
              ( ~ in(ordered_pair(sK6(X0,X1,X2),X7),X0)
              | ~ in(X7,X2) ) )
        & ( in(sK6(X0,X1,X2),X1)
          | ? [X8] :
              ( in(ordered_pair(sK6(X0,X1,X2),X8),X0)
              & in(X8,X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( in(ordered_pair(sK6(X0,X1,X2),X8),X0)
          & in(X8,X2) )
     => ( in(ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)),X0)
        & in(sK7(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X5] :
                      ( ~ in(ordered_pair(X3,X5),X0)
                      | ~ in(X5,X2) ) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X6] :
                ( ( ~ in(X6,X1)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X6,X7),X0)
                      | ~ in(X7,X2) ) )
                & ( in(X6,X1)
                  | ? [X8] :
                      ( in(ordered_pair(X6,X8),X0)
                      & in(X8,X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X2) ) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X2) ) )
                & ( in(X3,X1)
                  | ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X2,X1] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).

fof(f500,plain,
    in(ordered_pair(sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))),sK20(sK16,sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))))),sK16),
    inference(unit_resulting_resolution,[],[f179,f355,f208]) ).

fof(f208,plain,
    ! [X0,X5] :
      ( in(ordered_pair(X5,sK20(X0,X5)),X0)
      | ~ relation(X0)
      | ~ in(X5,relation_dom(X0)) ),
    inference(equality_resolution,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | in(ordered_pair(X5,sK20(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ~ in(sK18(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0) )
              & ( in(sK18(X0,X1),X1)
                | in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0) ) ) )
          & ( ! [X5] :
                ( ( in(ordered_pair(X5,sK20(X0,X5)),X0)
                  | ~ in(X5,X1) )
                & ( in(X5,X1)
                  | ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f123,f126,f125,f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
          & ( in(X2,X1)
            | ? [X4] : in(ordered_pair(X2,X4),X0) ) )
     => ( ( ~ in(sK18(X0,X1),X1)
          | ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0) )
        & ( in(sK18(X0,X1),X1)
          | ? [X4] : in(ordered_pair(sK18(X0,X1),X4),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK18(X0,X1),X4),X0)
     => in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ! [X0,X5] :
      ( ? [X6] : in(ordered_pair(X5,X6),X0)
     => in(ordered_pair(X5,sK20(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(X2,X1)
                  | ? [X4] : in(ordered_pair(X2,X4),X0) ) ) )
          & ( ! [X5] :
                ( ( ? [X6] : in(ordered_pair(X5,X6),X0)
                  | ~ in(X5,X1) )
                & ( in(X5,X1)
                  | ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X2,X3),X0) ) ) )
          & ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f355,plain,
    in(sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))),relation_dom(sK16)),
    inference(unit_resulting_resolution,[],[f178,f221,f158]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,X0)
      | ~ subset(X0,X1)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( in(sK9(X0,X1),X0)
          & ~ in(sK9(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f98,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X0)
          & ~ in(X3,X1) )
     => ( in(sK9(X0,X1),X0)
        & ~ in(sK9(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f221,plain,
    in(sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))),sK15),
    inference(unit_resulting_resolution,[],[f180,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( in(sK9(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f180,plain,
    ~ subset(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( ~ subset(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15)))
    & relation(sK16)
    & subset(sK15,relation_dom(sK16)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f113,f114]) ).

fof(f114,plain,
    ( ? [X0,X1] :
        ( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
        & relation(X1)
        & subset(X0,relation_dom(X1)) )
   => ( ~ subset(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15)))
      & relation(sK16)
      & subset(sK15,relation_dom(sK16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ? [X0,X1] :
      ( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
      & relation(X1)
      & subset(X0,relation_dom(X1)) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ? [X1,X0] :
      ( ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
      & relation(X0)
      & subset(X1,relation_dom(X0)) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ? [X0,X1] :
      ( ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
      & subset(X1,relation_dom(X0))
      & relation(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ~ ! [X0,X1] :
        ( relation(X0)
       => ( subset(X1,relation_dom(X0))
         => subset(X1,relation_inverse_image(X0,relation_image(X0,X1))) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => ( subset(X0,relation_dom(X1))
         => subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => ( subset(X0,relation_dom(X1))
       => subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_funct_1) ).

fof(f178,plain,
    subset(sK15,relation_dom(sK16)),
    inference(cnf_transformation,[],[f115]) ).

fof(f220,plain,
    ~ in(sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15))),relation_inverse_image(sK16,relation_image(sK16,sK15))),
    inference(unit_resulting_resolution,[],[f180,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ in(sK9(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f179,plain,
    relation(sK16),
    inference(cnf_transformation,[],[f115]) ).

fof(f1276,plain,
    in(sK20(sK16,sK9(sK15,relation_inverse_image(sK16,relation_image(sK16,sK15)))),relation_image(sK16,sK15)),
    inference(unit_resulting_resolution,[],[f179,f221,f500,f204]) ).

fof(f204,plain,
    ! [X2,X3,X0,X5] :
      ( ~ in(ordered_pair(X5,X3),X0)
      | ~ in(X5,X2)
      | in(X3,relation_image(X0,X2))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1,X5] :
      ( in(X3,X1)
      | ~ in(ordered_pair(X5,X3),X0)
      | ~ in(X5,X2)
      | relation_image(X0,X2) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(ordered_pair(sK1(X0,X2,X3),X3),X0)
                    & in(sK1(X0,X2,X3),X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X5] :
                      ( ~ in(ordered_pair(X5,X3),X0)
                      | ~ in(X5,X2) ) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ( ( ~ in(sK2(X0,X1,X2),X1)
                | ! [X7] :
                    ( ~ in(ordered_pair(X7,sK2(X0,X1,X2)),X0)
                    | ~ in(X7,X2) ) )
              & ( in(sK2(X0,X1,X2),X1)
                | ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X0)
                  & in(sK3(X0,X1,X2),X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f82,f85,f84,f83]) ).

fof(f83,plain,
    ! [X0,X2,X3] :
      ( ? [X4] :
          ( in(ordered_pair(X4,X3),X0)
          & in(X4,X2) )
     => ( in(ordered_pair(sK1(X0,X2,X3),X3),X0)
        & in(sK1(X0,X2,X3),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ( ~ in(X6,X1)
            | ! [X7] :
                ( ~ in(ordered_pair(X7,X6),X0)
                | ~ in(X7,X2) ) )
          & ( in(X6,X1)
            | ? [X8] :
                ( in(ordered_pair(X8,X6),X0)
                & in(X8,X2) ) ) )
     => ( ( ~ in(sK2(X0,X1,X2),X1)
          | ! [X7] :
              ( ~ in(ordered_pair(X7,sK2(X0,X1,X2)),X0)
              | ~ in(X7,X2) ) )
        & ( in(sK2(X0,X1,X2),X1)
          | ? [X8] :
              ( in(ordered_pair(X8,sK2(X0,X1,X2)),X0)
              & in(X8,X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( in(ordered_pair(X8,sK2(X0,X1,X2)),X0)
          & in(X8,X2) )
     => ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X0)
        & in(sK3(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ? [X4] :
                      ( in(ordered_pair(X4,X3),X0)
                      & in(X4,X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X5] :
                      ( ~ in(ordered_pair(X5,X3),X0)
                      | ~ in(X5,X2) ) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ? [X6] :
                ( ( ~ in(X6,X1)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X7,X6),X0)
                      | ~ in(X7,X2) ) )
                & ( in(X6,X1)
                  | ? [X8] :
                      ( in(ordered_pair(X8,X6),X0)
                      & in(X8,X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ? [X4] :
                      ( in(ordered_pair(X4,X3),X0)
                      & in(X4,X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X4,X3),X0)
                      | ~ in(X4,X2) ) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X4,X3),X0)
                      | ~ in(X4,X2) ) )
                & ( in(X3,X1)
                  | ? [X4] :
                      ( in(ordered_pair(X4,X3),X0)
                      & in(X4,X2) ) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X4,X3),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) )
        <=> relation_image(X0,X2) = X1 )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X4,X3),X0)
                  & in(X4,X2) )
            <=> in(X3,X1) )
        <=> relation_image(X0,X2) = X1 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X2,X1] :
          ( ! [X3] :
              ( ? [X4] :
                  ( in(ordered_pair(X4,X3),X0)
                  & in(X4,X1) )
            <=> in(X3,X2) )
        <=> relation_image(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:45:59 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (9611)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.45  % (9598)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45  % (9598)Instruction limit reached!
% 0.19/0.45  % (9598)------------------------------
% 0.19/0.45  % (9598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (9598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (9598)Termination reason: Unknown
% 0.19/0.45  % (9598)Termination phase: Saturation
% 0.19/0.45  
% 0.19/0.45  % (9598)Memory used [KB]: 5500
% 0.19/0.45  % (9598)Time elapsed: 0.062 s
% 0.19/0.45  % (9598)Instructions burned: 7 (million)
% 0.19/0.45  % (9598)------------------------------
% 0.19/0.45  % (9598)------------------------------
% 0.19/0.52  % (9605)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (9593)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (9618)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (9599)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (9592)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (9599)Instruction limit reached!
% 0.19/0.53  % (9599)------------------------------
% 0.19/0.53  % (9599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9599)Termination reason: Unknown
% 0.19/0.53  % (9599)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (9599)Memory used [KB]: 1023
% 0.19/0.53  % (9599)Time elapsed: 0.003 s
% 0.19/0.53  % (9599)Instructions burned: 3 (million)
% 0.19/0.53  % (9599)------------------------------
% 0.19/0.53  % (9599)------------------------------
% 0.19/0.53  % (9596)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (9595)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (9594)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (9613)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (9616)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (9607)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (9610)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (9597)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (9609)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (9612)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (9608)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (9591)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54  % (9600)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (9604)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (9603)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (9601)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (9602)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (9619)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (9615)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  % (9620)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (9617)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (9592)Refutation not found, incomplete strategy% (9592)------------------------------
% 0.19/0.55  % (9592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (9592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (9592)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (9592)Memory used [KB]: 5628
% 0.19/0.55  % (9592)Time elapsed: 0.136 s
% 0.19/0.55  % (9592)Instructions burned: 10 (million)
% 0.19/0.55  % (9592)------------------------------
% 0.19/0.55  % (9592)------------------------------
% 0.19/0.55  % (9614)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56  % (9621)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.19/0.56  % (9606)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 1.79/0.58  TRYING [3]
% 1.79/0.58  % (9597)Instruction limit reached!
% 1.79/0.58  % (9597)------------------------------
% 1.79/0.58  % (9597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  TRYING [3]
% 1.93/0.60  % (9597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (9597)Termination reason: Unknown
% 1.93/0.60  % (9597)Termination phase: Finite model building SAT solving
% 1.93/0.60  
% 1.93/0.60  % (9597)Memory used [KB]: 8187
% 1.93/0.60  % (9597)Time elapsed: 0.150 s
% 1.93/0.60  % (9597)Instructions burned: 51 (million)
% 1.93/0.60  % (9597)------------------------------
% 1.93/0.60  % (9597)------------------------------
% 1.93/0.60  % (9593)Instruction limit reached!
% 1.93/0.60  % (9593)------------------------------
% 1.93/0.60  % (9593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (9593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (9593)Termination reason: Unknown
% 1.93/0.60  % (9593)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (9593)Memory used [KB]: 1663
% 1.93/0.60  % (9593)Time elapsed: 0.213 s
% 1.93/0.60  % (9593)Instructions burned: 38 (million)
% 1.93/0.60  % (9593)------------------------------
% 1.93/0.60  % (9593)------------------------------
% 1.93/0.61  % (9608)Instruction limit reached!
% 1.93/0.61  % (9608)------------------------------
% 1.93/0.61  % (9608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (9608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (9608)Termination reason: Unknown
% 1.93/0.61  % (9608)Termination phase: Finite model building SAT solving
% 1.93/0.61  
% 1.93/0.61  % (9608)Memory used [KB]: 8187
% 1.93/0.61  % (9608)Time elapsed: 0.193 s
% 1.93/0.61  % (9608)Instructions burned: 60 (million)
% 1.93/0.61  % (9608)------------------------------
% 1.93/0.61  % (9608)------------------------------
% 1.93/0.61  % (9594)Instruction limit reached!
% 1.93/0.61  % (9594)------------------------------
% 1.93/0.61  % (9594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (9594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (9594)Termination reason: Unknown
% 1.93/0.61  % (9594)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (9594)Memory used [KB]: 5884
% 1.93/0.61  % (9594)Time elapsed: 0.216 s
% 1.93/0.61  % (9594)Instructions burned: 51 (million)
% 1.93/0.61  % (9594)------------------------------
% 1.93/0.61  % (9594)------------------------------
% 1.93/0.62  % (9596)Instruction limit reached!
% 1.93/0.62  % (9596)------------------------------
% 1.93/0.62  % (9596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (9596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (9596)Termination reason: Unknown
% 1.93/0.62  % (9596)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (9596)Memory used [KB]: 6012
% 1.93/0.62  % (9596)Time elapsed: 0.219 s
% 1.93/0.62  % (9596)Instructions burned: 48 (million)
% 1.93/0.62  % (9596)------------------------------
% 1.93/0.62  % (9596)------------------------------
% 1.93/0.62  % (9595)Instruction limit reached!
% 1.93/0.62  % (9595)------------------------------
% 1.93/0.62  % (9595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (9595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63  % (9605)Instruction limit reached!
% 2.18/0.63  % (9605)------------------------------
% 2.18/0.63  % (9605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63  % (9605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63  % (9605)Termination reason: Unknown
% 2.18/0.63  % (9605)Termination phase: Saturation
% 2.18/0.63  
% 2.18/0.63  % (9605)Memory used [KB]: 6908
% 2.18/0.63  % (9605)Time elapsed: 0.046 s
% 2.18/0.63  % (9605)Instructions burned: 68 (million)
% 2.18/0.63  % (9605)------------------------------
% 2.18/0.63  % (9605)------------------------------
% 2.18/0.63  % (9595)Termination reason: Unknown
% 2.18/0.63  % (9595)Termination phase: Saturation
% 2.18/0.63  
% 2.18/0.63  % (9595)Memory used [KB]: 6268
% 2.18/0.63  % (9595)Time elapsed: 0.218 s
% 2.18/0.63  % (9595)Instructions burned: 52 (million)
% 2.18/0.63  % (9595)------------------------------
% 2.18/0.63  % (9595)------------------------------
% 2.23/0.65  % (9600)Instruction limit reached!
% 2.23/0.65  % (9600)------------------------------
% 2.23/0.65  % (9600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65  % (9601)Instruction limit reached!
% 2.23/0.65  % (9601)------------------------------
% 2.23/0.65  % (9601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65  % (9601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65  % (9601)Termination reason: Unknown
% 2.23/0.65  % (9601)Termination phase: Saturation
% 2.23/0.65  
% 2.23/0.65  % (9601)Memory used [KB]: 6396
% 2.23/0.65  % (9601)Time elapsed: 0.268 s
% 2.23/0.65  % (9601)Instructions burned: 51 (million)
% 2.23/0.65  % (9601)------------------------------
% 2.23/0.65  % (9601)------------------------------
% 2.23/0.66  % (9600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66  % (9600)Termination reason: Unknown
% 2.23/0.66  % (9600)Termination phase: Saturation
% 2.23/0.66  
% 2.23/0.66  % (9600)Memory used [KB]: 2174
% 2.23/0.66  % (9600)Time elapsed: 0.259 s
% 2.23/0.66  % (9600)Instructions burned: 51 (million)
% 2.23/0.66  % (9600)------------------------------
% 2.23/0.66  % (9600)------------------------------
% 2.23/0.67  % (9617)Instruction limit reached!
% 2.23/0.67  % (9617)------------------------------
% 2.23/0.67  % (9617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (9617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (9617)Termination reason: Unknown
% 2.23/0.67  % (9617)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (9617)Memory used [KB]: 6908
% 2.23/0.67  % (9617)Time elapsed: 0.039 s
% 2.23/0.67  % (9617)Instructions burned: 68 (million)
% 2.23/0.67  % (9617)------------------------------
% 2.23/0.67  % (9617)------------------------------
% 2.23/0.68  % (9606)Instruction limit reached!
% 2.23/0.68  % (9606)------------------------------
% 2.23/0.68  % (9606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69  % (9622)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.23/0.69  % (9623)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.23/0.70  TRYING [4]
% 2.23/0.70  % (9606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (9606)Termination reason: Unknown
% 2.23/0.70  % (9606)Termination phase: Saturation
% 2.23/0.70  
% 2.23/0.70  % (9606)Memory used [KB]: 2430
% 2.23/0.70  % (9606)Time elapsed: 0.292 s
% 2.23/0.70  % (9606)Instructions burned: 75 (million)
% 2.23/0.70  % (9606)------------------------------
% 2.23/0.70  % (9606)------------------------------
% 2.67/0.71  % (9603)Instruction limit reached!
% 2.67/0.71  % (9603)------------------------------
% 2.67/0.71  % (9603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.71  % (9603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.71  % (9603)Termination reason: Unknown
% 2.67/0.71  % (9603)Termination phase: Saturation
% 2.67/0.71  
% 2.67/0.71  % (9603)Memory used [KB]: 6780
% 2.67/0.71  % (9603)Time elapsed: 0.323 s
% 2.67/0.71  % (9603)Instructions burned: 102 (million)
% 2.67/0.71  % (9603)------------------------------
% 2.67/0.71  % (9603)------------------------------
% 2.67/0.71  % (9602)Instruction limit reached!
% 2.67/0.71  % (9602)------------------------------
% 2.67/0.71  % (9602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.71  % (9602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.71  % (9602)Termination reason: Unknown
% 2.67/0.71  % (9602)Termination phase: Saturation
% 2.67/0.71  
% 2.67/0.71  % (9602)Memory used [KB]: 6780
% 2.67/0.71  % (9602)Time elapsed: 0.303 s
% 2.67/0.71  % (9602)Instructions burned: 102 (million)
% 2.67/0.71  % (9602)------------------------------
% 2.67/0.71  % (9602)------------------------------
% 2.67/0.71  % (9611)Instruction limit reached!
% 2.67/0.71  % (9611)------------------------------
% 2.67/0.71  % (9611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.71  % (9611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.71  % (9611)Termination reason: Unknown
% 2.67/0.71  % (9611)Termination phase: Saturation
% 2.67/0.71  
% 2.67/0.71  % (9611)Memory used [KB]: 7419
% 2.67/0.71  % (9611)Time elapsed: 0.322 s
% 2.67/0.71  % (9611)Instructions burned: 177 (million)
% 2.67/0.71  % (9611)------------------------------
% 2.67/0.71  % (9611)------------------------------
% 2.67/0.72  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.67/0.72  % (9624)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.67/0.72  % (9609)Instruction limit reached!
% 2.67/0.72  % (9609)------------------------------
% 2.67/0.72  % (9609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (9609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (9609)Termination reason: Unknown
% 2.67/0.72  % (9609)Termination phase: Saturation
% 2.67/0.72  
% 2.67/0.72  % (9609)Memory used [KB]: 6908
% 2.67/0.72  % (9609)Time elapsed: 0.329 s
% 2.67/0.72  % (9609)Instructions burned: 100 (million)
% 2.67/0.72  % (9609)------------------------------
% 2.67/0.72  % (9609)------------------------------
% 2.67/0.72  % (9607)Instruction limit reached!
% 2.67/0.72  % (9607)------------------------------
% 2.67/0.72  % (9607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (9607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (9607)Termination reason: Unknown
% 2.67/0.72  % (9607)Termination phase: Saturation
% 2.67/0.72  
% 2.67/0.72  % (9607)Memory used [KB]: 6652
% 2.67/0.72  % (9607)Time elapsed: 0.332 s
% 2.67/0.72  % (9607)Instructions burned: 99 (million)
% 2.67/0.72  % (9607)------------------------------
% 2.67/0.72  % (9607)------------------------------
% 2.67/0.73  % (9610)Instruction limit reached!
% 2.67/0.73  % (9610)------------------------------
% 2.67/0.73  % (9610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73  % (9610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73  % (9610)Termination reason: Unknown
% 2.67/0.73  % (9610)Termination phase: Saturation
% 2.67/0.73  
% 2.67/0.73  % (9610)Memory used [KB]: 2430
% 2.67/0.73  % (9610)Time elapsed: 0.303 s
% 2.67/0.73  % (9610)Instructions burned: 100 (million)
% 2.67/0.73  % (9610)------------------------------
% 2.67/0.73  % (9610)------------------------------
% 2.67/0.73  % (9626)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.67/0.73  % (9641)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.67/0.73  % (9631)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.67/0.73  % (9604)Instruction limit reached!
% 2.67/0.73  % (9604)------------------------------
% 2.67/0.73  % (9604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73  % (9604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73  % (9604)Termination reason: Unknown
% 2.67/0.73  % (9604)Termination phase: Saturation
% 2.67/0.73  
% 2.67/0.73  % (9604)Memory used [KB]: 6780
% 2.67/0.73  % (9604)Time elapsed: 0.330 s
% 2.67/0.73  % (9604)Instructions burned: 100 (million)
% 2.67/0.73  % (9604)------------------------------
% 2.67/0.73  % (9604)------------------------------
% 2.67/0.73  % (9629)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.67/0.74  % (9633)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.99/0.77  % (9639)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.99/0.78  % (9657)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.99/0.78  % (9653)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.99/0.81  % (9685)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.99/0.81  % (9612)Instruction limit reached!
% 2.99/0.81  % (9612)------------------------------
% 2.99/0.81  % (9612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.81  % (9612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.81  % (9612)Termination reason: Unknown
% 2.99/0.81  % (9612)Termination phase: Saturation
% 2.99/0.81  
% 2.99/0.81  % (9612)Memory used [KB]: 7675
% 2.99/0.81  % (9612)Time elapsed: 0.423 s
% 2.99/0.81  % (9612)Instructions burned: 139 (million)
% 2.99/0.81  % (9612)------------------------------
% 2.99/0.81  % (9612)------------------------------
% 2.99/0.82  % (9641)First to succeed.
% 2.99/0.82  % (9660)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.99/0.83  % (9676)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.99/0.84  % (9681)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.99/0.85  % (9641)Refutation found. Thanks to Tanya!
% 2.99/0.85  % SZS status Theorem for theBenchmark
% 2.99/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 2.99/0.85  % (9641)------------------------------
% 2.99/0.85  % (9641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.85  % (9641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.85  % (9641)Termination reason: Refutation
% 2.99/0.85  
% 2.99/0.85  % (9641)Memory used [KB]: 6652
% 2.99/0.85  % (9641)Time elapsed: 0.160 s
% 2.99/0.85  % (9641)Instructions burned: 51 (million)
% 2.99/0.85  % (9641)------------------------------
% 2.99/0.85  % (9641)------------------------------
% 2.99/0.85  % (9590)Success in time 0.511 s
%------------------------------------------------------------------------------