TSTP Solution File: SEU226+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU226+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n031.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 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (  10 unt;   0 def)
%            Number of atoms       :  293 (  49 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  379 ( 133   ~; 131   |;  90   &)
%                                         (  14 <=>;  11  =>;   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   :  145 ( 118   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f175,plain,
    $false,
    inference(subsumption_resolution,[],[f174,f124]) ).

fof(f124,plain,
    ~ in(sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
    inference(unit_resulting_resolution,[],[f74,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ in(sK10(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK10(X0,X1),X1)
          & in(sK10(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f69,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK10(X0,X1),X1)
        & in(sK10(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,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,[],[f68]) ).

fof(f68,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,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.2rqsHSrIhP/Vampire---4.8_32156',d3_tarski) ).

fof(f74,plain,
    ~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)
    & function(sK1)
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f46]) ).

fof(f46,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
        & function(X1)
        & relation(X1) )
   => ( ~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)
      & function(sK1)
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      & function(X1)
      & relation(X1) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      & function(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( function(X1)
          & relation(X1) )
       => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.2rqsHSrIhP/Vampire---4.8_32156',t145_funct_1) ).

fof(f174,plain,
    in(sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
    inference(forward_demodulation,[],[f169,f136]) ).

fof(f136,plain,
    sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0) = apply(sK1,sK4(sK1,relation_inverse_image(sK1,sK0),sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),
    inference(unit_resulting_resolution,[],[f72,f73,f123,f108]) ).

fof(f108,plain,
    ! [X0,X1,X6] :
      ( apply(X0,sK4(X0,X1,X6)) = X6
      | ~ in(X6,relation_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f77]) ).

fof(f77,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,sK4(X0,X1,X6)) = X6
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( apply(X0,X4) != sK2(X0,X1,X2)
                    | ~ in(X4,X1)
                    | ~ in(X4,relation_dom(X0)) )
                | ~ in(sK2(X0,X1,X2),X2) )
              & ( ( sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2))
                  & in(sK3(X0,X1,X2),X1)
                  & in(sK3(X0,X1,X2),relation_dom(X0)) )
                | in(sK2(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( apply(X0,X7) != X6
                      | ~ in(X7,X1)
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ( apply(X0,sK4(X0,X1,X6)) = X6
                    & in(sK4(X0,X1,X6),X1)
                    & in(sK4(X0,X1,X6),relation_dom(X0)) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f49,f52,f51,f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( apply(X0,X4) != X3
                | ~ in(X4,X1)
                | ~ in(X4,relation_dom(X0)) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( apply(X0,X5) = X3
                & in(X5,X1)
                & in(X5,relation_dom(X0)) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( apply(X0,X4) != sK2(X0,X1,X2)
              | ~ in(X4,X1)
              | ~ in(X4,relation_dom(X0)) )
          | ~ in(sK2(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( apply(X0,X5) = sK2(X0,X1,X2)
              & in(X5,X1)
              & in(X5,relation_dom(X0)) )
          | in(sK2(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( apply(X0,X5) = sK2(X0,X1,X2)
          & in(X5,X1)
          & in(X5,relation_dom(X0)) )
     => ( sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2))
        & in(sK3(X0,X1,X2),X1)
        & in(sK3(X0,X1,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( apply(X0,X8) = X6
          & in(X8,X1)
          & in(X8,relation_dom(X0)) )
     => ( apply(X0,sK4(X0,X1,X6)) = X6
        & in(sK4(X0,X1,X6),X1)
        & in(sK4(X0,X1,X6),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( apply(X0,X5) = X3
                      & in(X5,X1)
                      & in(X5,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( apply(X0,X7) != X6
                      | ~ in(X7,X1)
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ? [X8] :
                      ( apply(X0,X8) = X6
                      & in(X8,X1)
                      & in(X8,relation_dom(X0)) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X1)
                      & in(X4,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X1)
                      & in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.2rqsHSrIhP/Vampire---4.8_32156',d12_funct_1) ).

fof(f123,plain,
    in(sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),relation_image(sK1,relation_inverse_image(sK1,sK0))),
    inference(unit_resulting_resolution,[],[f74,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( in(sK10(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f73,plain,
    function(sK1),
    inference(cnf_transformation,[],[f47]) ).

fof(f72,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f47]) ).

fof(f169,plain,
    in(apply(sK1,sK4(sK1,relation_inverse_image(sK1,sK0),sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),sK0),
    inference(unit_resulting_resolution,[],[f72,f73,f134,f112]) ).

fof(f112,plain,
    ! [X0,X1,X4] :
      ( in(apply(X0,X4),X1)
      | ~ in(X4,relation_inverse_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f90]) ).

fof(f90,plain,
    ! [X2,X0,X1,X4] :
      ( in(apply(X0,X4),X1)
      | ~ in(X4,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ~ in(apply(X0,sK7(X0,X1,X2)),X1)
                | ~ in(sK7(X0,X1,X2),relation_dom(X0))
                | ~ in(sK7(X0,X1,X2),X2) )
              & ( ( in(apply(X0,sK7(X0,X1,X2)),X1)
                  & in(sK7(X0,X1,X2),relation_dom(X0)) )
                | in(sK7(X0,X1,X2),X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(apply(X0,X4),X1)
                  | ~ in(X4,relation_dom(X0)) )
                & ( ( in(apply(X0,X4),X1)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f60,f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(apply(X0,X3),X1)
            | ~ in(X3,relation_dom(X0))
            | ~ in(X3,X2) )
          & ( ( in(apply(X0,X3),X1)
              & in(X3,relation_dom(X0)) )
            | in(X3,X2) ) )
     => ( ( ~ in(apply(X0,sK7(X0,X1,X2)),X1)
          | ~ in(sK7(X0,X1,X2),relation_dom(X0))
          | ~ in(sK7(X0,X1,X2),X2) )
        & ( ( in(apply(X0,sK7(X0,X1,X2)),X1)
            & in(sK7(X0,X1,X2),relation_dom(X0)) )
          | in(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(X3,X2) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(apply(X0,X4),X1)
                  | ~ in(X4,relation_dom(X0)) )
                & ( ( in(apply(X0,X4),X1)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f59]) ).

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

fof(f58,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(X3,X2) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0)) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.2rqsHSrIhP/Vampire---4.8_32156',d13_funct_1) ).

fof(f134,plain,
    in(sK4(sK1,relation_inverse_image(sK1,sK0),sK10(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)),relation_inverse_image(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f72,f73,f123,f109]) ).

fof(f109,plain,
    ! [X0,X1,X6] :
      ( in(sK4(X0,X1,X6),X1)
      | ~ in(X6,relation_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK4(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU226+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 12:16:47 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.2rqsHSrIhP/Vampire---4.8_32156
% 0.54/0.75  % (32264)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (32269)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75  % (32266)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (32265)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.75  % (32267)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75  % (32268)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (32270)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.75  % (32271)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.75  % (32269)Refutation not found, incomplete strategy% (32269)------------------------------
% 0.54/0.75  % (32269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (32269)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (32269)Memory used [KB]: 1039
% 0.54/0.75  % (32269)Time elapsed: 0.004 s
% 0.54/0.75  % (32269)Instructions burned: 4 (million)
% 0.54/0.75  % (32269)------------------------------
% 0.54/0.75  % (32269)------------------------------
% 0.54/0.75  % (32267)First to succeed.
% 0.54/0.75  % (32267)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32263"
% 0.54/0.75  % (32267)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (32267)------------------------------
% 0.54/0.75  % (32267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (32267)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (32267)Memory used [KB]: 1116
% 0.54/0.75  % (32267)Time elapsed: 0.007 s
% 0.54/0.75  % (32267)Instructions burned: 10 (million)
% 0.54/0.75  % (32263)Success in time 0.372 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------