TSTP Solution File: SEU226+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU226+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n017.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 18:27:40 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  10 unt;   0 def)
%            Number of atoms       :  312 (  52 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  396 ( 135   ~; 131   |;  98   &)
%                                         (  18 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :  158 ( 128   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f299,plain,
    $false,
    inference(subsumption_resolution,[],[f298,f189]) ).

fof(f189,plain,
    ~ in(sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))),sK4),
    inference(unit_resulting_resolution,[],[f130,f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X1)
            | in(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( in(sK2(X0,X1),X1)
          & ~ in(sK2(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f82,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X1)
          & ~ in(X3,X0) )
     => ( in(sK2(X0,X1),X1)
        & ~ in(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X1)
            | in(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( in(X3,X1)
            & ~ in(X3,X0) ) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f130,plain,
    ~ subset(relation_image(sK5,relation_inverse_image(sK5,sK4)),sK4),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( function(sK5)
    & relation(sK5)
    & ~ subset(relation_image(sK5,relation_inverse_image(sK5,sK4)),sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f87,f88]) ).

fof(f88,plain,
    ( ? [X0,X1] :
        ( function(X1)
        & relation(X1)
        & ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) )
   => ( function(sK5)
      & relation(sK5)
      & ~ subset(relation_image(sK5,relation_inverse_image(sK5,sK4)),sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ? [X0,X1] :
      ( function(X1)
      & relation(X1)
      & ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ? [X1,X0] :
      ( function(X0)
      & relation(X0)
      & ~ subset(relation_image(X0,relation_inverse_image(X0,X1)),X1) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ? [X1,X0] :
      ( ~ subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ ! [X1,X0] :
        ( ( function(X0)
          & relation(X0) )
       => subset(relation_image(X0,relation_inverse_image(X0,X1)),X1) ),
    inference(rectify,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( relation(X1)
          & function(X1) )
       => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_funct_1) ).

fof(f298,plain,
    in(sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))),sK4),
    inference(forward_demodulation,[],[f284,f196]) ).

fof(f196,plain,
    apply(sK5,sK13(sK5,relation_inverse_image(sK5,sK4),sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))))) = sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))),
    inference(unit_resulting_resolution,[],[f132,f131,f187,f181]) ).

fof(f181,plain,
    ! [X0,X1,X6] :
      ( ~ in(X6,relation_image(X0,X1))
      | apply(X0,sK13(X0,X1,X6)) = X6
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f159]) ).

fof(f159,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,sK13(X0,X1,X6)) = X6
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ( ( ~ in(sK11(X0,X1,X2),X2)
                | ! [X4] :
                    ( ~ in(X4,relation_dom(X0))
                    | ~ in(X4,X1)
                    | apply(X0,X4) != sK11(X0,X1,X2) ) )
              & ( in(sK11(X0,X1,X2),X2)
                | ( in(sK12(X0,X1,X2),relation_dom(X0))
                  & in(sK12(X0,X1,X2),X1)
                  & sK11(X0,X1,X2) = apply(X0,sK12(X0,X1,X2)) ) ) ) )
          & ( ! [X6] :
                ( ( ( in(sK13(X0,X1,X6),relation_dom(X0))
                    & in(sK13(X0,X1,X6),X1)
                    & apply(X0,sK13(X0,X1,X6)) = X6 )
                  | ~ in(X6,X2) )
                & ( in(X6,X2)
                  | ! [X8] :
                      ( ~ in(X8,relation_dom(X0))
                      | ~ in(X8,X1)
                      | apply(X0,X8) != X6 ) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f102,f105,f104,f103]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | ! [X4] :
                ( ~ in(X4,relation_dom(X0))
                | ~ in(X4,X1)
                | apply(X0,X4) != X3 ) )
          & ( in(X3,X2)
            | ? [X5] :
                ( in(X5,relation_dom(X0))
                & in(X5,X1)
                & apply(X0,X5) = X3 ) ) )
     => ( ( ~ in(sK11(X0,X1,X2),X2)
          | ! [X4] :
              ( ~ in(X4,relation_dom(X0))
              | ~ in(X4,X1)
              | apply(X0,X4) != sK11(X0,X1,X2) ) )
        & ( in(sK11(X0,X1,X2),X2)
          | ? [X5] :
              ( in(X5,relation_dom(X0))
              & in(X5,X1)
              & sK11(X0,X1,X2) = apply(X0,X5) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,relation_dom(X0))
          & in(X5,X1)
          & sK11(X0,X1,X2) = apply(X0,X5) )
     => ( in(sK12(X0,X1,X2),relation_dom(X0))
        & in(sK12(X0,X1,X2),X1)
        & sK11(X0,X1,X2) = apply(X0,sK12(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0,X1,X6] :
      ( ? [X7] :
          ( in(X7,relation_dom(X0))
          & in(X7,X1)
          & apply(X0,X7) = X6 )
     => ( in(sK13(X0,X1,X6),relation_dom(X0))
        & in(sK13(X0,X1,X6),X1)
        & apply(X0,sK13(X0,X1,X6)) = X6 ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X1)
                      | apply(X0,X4) != X3 ) )
                & ( in(X3,X2)
                  | ? [X5] :
                      ( in(X5,relation_dom(X0))
                      & in(X5,X1)
                      & apply(X0,X5) = X3 ) ) ) )
          & ( ! [X6] :
                ( ( ? [X7] :
                      ( in(X7,relation_dom(X0))
                      & in(X7,X1)
                      & apply(X0,X7) = X6 )
                  | ~ in(X6,X2) )
                & ( in(X6,X2)
                  | ! [X8] :
                      ( ~ in(X8,relation_dom(X0))
                      | ~ in(X8,X1)
                      | apply(X0,X8) != X6 ) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( relation_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X2)
                      | apply(X0,X4) != X3 ) )
                & ( in(X3,X1)
                  | ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & in(X4,X2)
                      & apply(X0,X4) = X3 ) ) ) )
          & ( ! [X3] :
                ( ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & in(X4,X2)
                      & apply(X0,X4) = X3 )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X2)
                      | apply(X0,X4) != X3 ) ) )
            | relation_image(X0,X2) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X2)
                  & apply(X0,X4) = X3 )
            <=> in(X3,X1) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X2)
                  & apply(X0,X4) = X3 )
            <=> in(X3,X1) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X2)
                  & apply(X0,X4) = X3 )
            <=> in(X3,X1) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X1)
                  & apply(X0,X4) = X3 )
            <=> in(X3,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).

fof(f187,plain,
    in(sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))),relation_image(sK5,relation_inverse_image(sK5,sK4))),
    inference(unit_resulting_resolution,[],[f130,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f131,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f89]) ).

fof(f132,plain,
    function(sK5),
    inference(cnf_transformation,[],[f89]) ).

fof(f284,plain,
    in(apply(sK5,sK13(sK5,relation_inverse_image(sK5,sK4),sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4))))),sK4),
    inference(unit_resulting_resolution,[],[f132,f131,f197,f184]) ).

fof(f184,plain,
    ! [X2,X3,X0] :
      ( ~ in(X3,relation_inverse_image(X0,X2))
      | ~ function(X0)
      | ~ relation(X0)
      | in(apply(X0,X3),X2) ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(apply(X0,X3),X2)
      | ~ in(X3,X1)
      | relation_inverse_image(X0,X2) != X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ( ( ~ in(sK14(X0,X1,X2),X1)
                | ~ in(apply(X0,sK14(X0,X1,X2)),X2)
                | ~ in(sK14(X0,X1,X2),relation_dom(X0)) )
              & ( in(sK14(X0,X1,X2),X1)
                | ( in(apply(X0,sK14(X0,X1,X2)),X2)
                  & in(sK14(X0,X1,X2),relation_dom(X0)) ) ) ) ) )
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f109,f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X1)
            | ~ in(apply(X0,X4),X2)
            | ~ in(X4,relation_dom(X0)) )
          & ( in(X4,X1)
            | ( in(apply(X0,X4),X2)
              & in(X4,relation_dom(X0)) ) ) )
     => ( ( ~ in(sK14(X0,X1,X2),X1)
          | ~ in(apply(X0,sK14(X0,X1,X2)),X2)
          | ~ in(sK14(X0,X1,X2),relation_dom(X0)) )
        & ( in(sK14(X0,X1,X2),X1)
          | ( in(apply(X0,sK14(X0,X1,X2)),X2)
            & in(sK14(X0,X1,X2),relation_dom(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X4] :
                ( ( ~ in(X4,X1)
                  | ~ in(apply(X0,X4),X2)
                  | ~ in(X4,relation_dom(X0)) )
                & ( in(X4,X1)
                  | ( in(apply(X0,X4),X2)
                    & in(X4,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0) ),
    inference(rectify,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) )
                & ( in(X3,X1)
                  | ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) )
                & ( in(X3,X1)
                  | ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 )
      | ~ function(X0) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).

fof(f197,plain,
    in(sK13(sK5,relation_inverse_image(sK5,sK4),sK2(sK4,relation_image(sK5,relation_inverse_image(sK5,sK4)))),relation_inverse_image(sK5,sK4)),
    inference(unit_resulting_resolution,[],[f131,f132,f187,f180]) ).

fof(f180,plain,
    ! [X0,X1,X6] :
      ( in(sK13(X0,X1,X6),X1)
      | ~ in(X6,relation_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f160]) ).

fof(f160,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK13(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SEU226+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 14:17:05 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.20/0.49  % (24067)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (24053)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (24074)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.50  % (24069)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51  % (24059)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (24046)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (24074)Instruction limit reached!
% 0.20/0.52  % (24074)------------------------------
% 0.20/0.52  % (24074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (24057)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (24055)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52  % (24054)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (24051)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (24056)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53  % (24071)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54  % (24066)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (24050)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (24075)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (24072)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (24063)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (24049)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (24062)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (24048)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (24058)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54  % (24060)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (24048)Instruction limit reached!
% 0.20/0.54  % (24048)------------------------------
% 0.20/0.54  % (24048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24048)Termination reason: Unknown
% 0.20/0.54  % (24048)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (24048)Memory used [KB]: 1535
% 0.20/0.54  % (24048)Time elapsed: 0.004 s
% 0.20/0.54  % (24048)Instructions burned: 3 (million)
% 0.20/0.54  % (24048)------------------------------
% 0.20/0.54  % (24048)------------------------------
% 0.20/0.54  % (24057)Instruction limit reached!
% 0.20/0.54  % (24057)------------------------------
% 0.20/0.54  % (24057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24057)Termination reason: Unknown
% 0.20/0.54  % (24057)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (24057)Memory used [KB]: 6140
% 0.20/0.54  % (24057)Time elapsed: 0.133 s
% 0.20/0.54  % (24057)Instructions burned: 7 (million)
% 0.20/0.54  % (24057)------------------------------
% 0.20/0.54  % (24057)------------------------------
% 0.20/0.54  % (24055)First to succeed.
% 0.20/0.54  % (24047)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (24052)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (24065)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (24056)Instruction limit reached!
% 0.20/0.54  % (24056)------------------------------
% 0.20/0.54  % (24056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24056)Termination reason: Unknown
% 0.20/0.54  % (24056)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (24056)Memory used [KB]: 6268
% 0.20/0.54  % (24056)Time elapsed: 0.129 s
% 0.20/0.54  % (24056)Instructions burned: 12 (million)
% 0.20/0.54  % (24056)------------------------------
% 0.20/0.54  % (24056)------------------------------
% 0.20/0.54  % (24074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24074)Termination reason: Unknown
% 0.20/0.54  % (24074)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (24074)Memory used [KB]: 6140
% 0.20/0.54  % (24074)Time elapsed: 0.127 s
% 0.20/0.54  % (24074)Instructions burned: 8 (million)
% 0.20/0.54  % (24074)------------------------------
% 0.20/0.54  % (24074)------------------------------
% 0.20/0.54  % (24047)Refutation not found, incomplete strategy% (24047)------------------------------
% 0.20/0.54  % (24047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24047)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (24047)Memory used [KB]: 6012
% 0.20/0.54  % (24047)Time elapsed: 0.150 s
% 0.20/0.54  % (24047)Instructions burned: 3 (million)
% 0.20/0.54  % (24047)------------------------------
% 0.20/0.54  % (24047)------------------------------
% 0.20/0.54  % (24073)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (24055)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (24055)------------------------------
% 0.20/0.55  % (24055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (24055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (24055)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (24055)Memory used [KB]: 6140
% 0.20/0.55  % (24055)Time elapsed: 0.137 s
% 0.20/0.55  % (24055)Instructions burned: 9 (million)
% 0.20/0.55  % (24055)------------------------------
% 0.20/0.55  % (24055)------------------------------
% 0.20/0.55  % (24045)Success in time 0.205 s
%------------------------------------------------------------------------------