TSTP Solution File: SEU009+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 : Thu Aug 31 17:54:57 EDT 2023

% Result   : Theorem 0.25s 0.48s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (  20 unt;   0 def)
%            Number of atoms       :  319 (  46 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  406 ( 167   ~; 163   |;  58   &)
%                                         (   8 <=>;   8  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  100 (;  81   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f843,plain,
    $false,
    inference(subsumption_resolution,[],[f842,f646]) ).

fof(f646,plain,
    in(sF14,sK0),
    inference(subsumption_resolution,[],[f171,f645]) ).

fof(f645,plain,
    ~ in(sK1,sF18),
    inference(subsumption_resolution,[],[f641,f558]) ).

fof(f558,plain,
    ( ~ in(sF14,sK0)
    | ~ in(sK1,sF18) ),
    inference(subsumption_resolution,[],[f170,f556]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ in(X0,sF18)
      | in(X0,sF15) ),
    inference(forward_demodulation,[],[f555,f166]) ).

fof(f166,plain,
    relation_dom(sK2) = sF15,
    introduced(function_definition,[]) ).

fof(f555,plain,
    ! [X0] :
      ( ~ in(X0,sF18)
      | in(X0,relation_dom(sK2)) ),
    inference(forward_demodulation,[],[f554,f169]) ).

fof(f169,plain,
    relation_dom(sF17) = sF18,
    introduced(function_definition,[]) ).

fof(f554,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(X0,relation_dom(sK2)) ),
    inference(subsumption_resolution,[],[f553,f187]) ).

fof(f187,plain,
    relation(sF16),
    inference(superposition,[],[f113,f167]) ).

fof(f167,plain,
    identity_relation(sK0) = sF16,
    introduced(function_definition,[]) ).

fof(f113,plain,
    ! [X0] : relation(identity_relation(X0)),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] : relation(identity_relation(X0)),
    file('/export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828',dt_k6_relat_1) ).

fof(f553,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(X0,relation_dom(sK2))
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f552,f186]) ).

fof(f186,plain,
    function(sF16),
    inference(superposition,[],[f115,f167]) ).

fof(f115,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828',fc2_funct_1) ).

fof(f552,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(X0,relation_dom(sK2))
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f551,f102]) ).

fof(f102,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( ~ in(apply(sK2,sK1),sK0)
      | ~ in(sK1,relation_dom(sK2))
      | ~ in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
    & ( ( in(apply(sK2,sK1),sK0)
        & in(sK1,relation_dom(sK2)) )
      | in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
    & function(sK2)
    & relation(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f74,f75]) ).

fof(f75,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ in(apply(X2,X1),X0)
          | ~ in(X1,relation_dom(X2))
          | ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
        & ( ( in(apply(X2,X1),X0)
            & in(X1,relation_dom(X2)) )
          | in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
        & function(X2)
        & relation(X2) )
   => ( ( ~ in(apply(sK2,sK1),sK0)
        | ~ in(sK1,relation_dom(sK2))
        | ~ in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
      & ( ( in(apply(sK2,sK1),sK0)
          & in(sK1,relation_dom(sK2)) )
        | in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
      & function(sK2)
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(apply(X2,X1),X0)
        | ~ in(X1,relation_dom(X2))
        | ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
      & ( ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) )
        | in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(apply(X2,X1),X0)
        | ~ in(X1,relation_dom(X2))
        | ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
      & ( ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) )
        | in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
      & function(X2)
      & relation(X2) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <~> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <~> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) )
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        <=> ( in(apply(X2,X1),X0)
            & in(X1,relation_dom(X2)) ) ) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <=> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828',t40_funct_1) ).

fof(f551,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(X0,relation_dom(sK2))
      | ~ relation(sK2)
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f548,f103]) ).

fof(f103,plain,
    function(sK2),
    inference(cnf_transformation,[],[f76]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(X0,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2)
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(superposition,[],[f141,f168]) ).

fof(f168,plain,
    relation_composition(sK2,sF16) = sF17,
    introduced(function_definition,[]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(X0,relation_dom(X2))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828',t21_funct_1) ).

fof(f170,plain,
    ( ~ in(sF14,sK0)
    | ~ in(sK1,sF15)
    | ~ in(sK1,sF18) ),
    inference(definition_folding,[],[f106,f169,f168,f167,f166,f165]) ).

fof(f165,plain,
    apply(sK2,sK1) = sF14,
    introduced(function_definition,[]) ).

fof(f106,plain,
    ( ~ in(apply(sK2,sK1),sK0)
    | ~ in(sK1,relation_dom(sK2))
    | ~ in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f641,plain,
    ( in(sF14,sK0)
    | ~ in(sK1,sF18) ),
    inference(superposition,[],[f636,f165]) ).

fof(f636,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sK0)
      | ~ in(X0,sF18) ),
    inference(forward_demodulation,[],[f635,f210]) ).

fof(f210,plain,
    sK0 = relation_dom(sF16),
    inference(superposition,[],[f176,f167]) ).

fof(f176,plain,
    ! [X0] : relation_dom(identity_relation(X0)) = X0,
    inference(subsumption_resolution,[],[f175,f113]) ).

fof(f175,plain,
    ! [X0] :
      ( relation_dom(identity_relation(X0)) = X0
      | ~ relation(identity_relation(X0)) ),
    inference(subsumption_resolution,[],[f162,f115]) ).

fof(f162,plain,
    ! [X0] :
      ( relation_dom(identity_relation(X0)) = X0
      | ~ function(identity_relation(X0))
      | ~ relation(identity_relation(X0)) ),
    inference(equality_resolution,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( relation_dom(X1) = X0
      | identity_relation(X0) != X1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( ( identity_relation(X0) = X1
          | ( sK6(X0,X1) != apply(X1,sK6(X0,X1))
            & in(sK6(X0,X1),X0) )
          | relation_dom(X1) != X0 )
        & ( ( ! [X3] :
                ( apply(X1,X3) = X3
                | ~ in(X3,X0) )
            & relation_dom(X1) = X0 )
          | identity_relation(X0) != X1 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f85,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( apply(X1,X2) != X2
          & in(X2,X0) )
     => ( sK6(X0,X1) != apply(X1,sK6(X0,X1))
        & in(sK6(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( ( identity_relation(X0) = X1
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) )
          | relation_dom(X1) != X0 )
        & ( ( ! [X3] :
                ( apply(X1,X3) = X3
                | ~ in(X3,X0) )
            & relation_dom(X1) = X0 )
          | identity_relation(X0) != X1 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( ( identity_relation(X0) = X1
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) )
          | relation_dom(X1) != X0 )
        & ( ( ! [X2] :
                ( apply(X1,X2) = X2
                | ~ in(X2,X0) )
            & relation_dom(X1) = X0 )
          | identity_relation(X0) != X1 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( ( identity_relation(X0) = X1
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) )
          | relation_dom(X1) != X0 )
        & ( ( ! [X2] :
                ( apply(X1,X2) = X2
                | ~ in(X2,X0) )
            & relation_dom(X1) = X0 )
          | identity_relation(X0) != X1 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( identity_relation(X0) = X1
      <=> ( ! [X2] :
              ( apply(X1,X2) = X2
              | ~ in(X2,X0) )
          & relation_dom(X1) = X0 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( identity_relation(X0) = X1
      <=> ( ! [X2] :
              ( apply(X1,X2) = X2
              | ~ in(X2,X0) )
          & relation_dom(X1) = X0 ) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( identity_relation(X0) = X1
      <=> ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = X2 )
          & relation_dom(X1) = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828',t34_funct_1) ).

fof(f635,plain,
    ! [X0] :
      ( ~ in(X0,sF18)
      | in(apply(sK2,X0),relation_dom(sF16)) ),
    inference(forward_demodulation,[],[f634,f169]) ).

fof(f634,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(apply(sK2,X0),relation_dom(sF16)) ),
    inference(subsumption_resolution,[],[f633,f187]) ).

fof(f633,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(apply(sK2,X0),relation_dom(sF16))
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f632,f186]) ).

fof(f632,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(apply(sK2,X0),relation_dom(sF16))
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f631,f102]) ).

fof(f631,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(apply(sK2,X0),relation_dom(sF16))
      | ~ relation(sK2)
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f628,f103]) ).

fof(f628,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF17))
      | in(apply(sK2,X0),relation_dom(sF16))
      | ~ function(sK2)
      | ~ relation(sK2)
      | ~ function(sF16)
      | ~ relation(sF16) ),
    inference(superposition,[],[f142,f168]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(apply(X2,X0),relation_dom(X1))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f171,plain,
    ( in(sF14,sK0)
    | in(sK1,sF18) ),
    inference(definition_folding,[],[f105,f169,f168,f167,f165]) ).

fof(f105,plain,
    ( in(apply(sK2,sK1),sK0)
    | in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f842,plain,
    ~ in(sF14,sK0),
    inference(forward_demodulation,[],[f841,f210]) ).

fof(f841,plain,
    ~ in(sF14,relation_dom(sF16)),
    inference(subsumption_resolution,[],[f840,f645]) ).

fof(f840,plain,
    ( in(sK1,sF18)
    | ~ in(sF14,relation_dom(sF16)) ),
    inference(forward_demodulation,[],[f839,f169]) ).

fof(f839,plain,
    ( in(sK1,relation_dom(sF17))
    | ~ in(sF14,relation_dom(sF16)) ),
    inference(subsumption_resolution,[],[f838,f187]) ).

fof(f838,plain,
    ( in(sK1,relation_dom(sF17))
    | ~ in(sF14,relation_dom(sF16))
    | ~ relation(sF16) ),
    inference(subsumption_resolution,[],[f828,f186]) ).

fof(f828,plain,
    ( in(sK1,relation_dom(sF17))
    | ~ in(sF14,relation_dom(sF16))
    | ~ function(sF16)
    | ~ relation(sF16) ),
    inference(superposition,[],[f804,f168]) ).

fof(f804,plain,
    ! [X3] :
      ( in(sK1,relation_dom(relation_composition(sK2,X3)))
      | ~ in(sF14,relation_dom(X3))
      | ~ function(X3)
      | ~ relation(X3) ),
    inference(subsumption_resolution,[],[f803,f583]) ).

fof(f583,plain,
    in(sK1,sF15),
    inference(duplicate_literal_removal,[],[f574]) ).

fof(f574,plain,
    ( in(sK1,sF15)
    | in(sK1,sF15) ),
    inference(resolution,[],[f556,f172]) ).

fof(f172,plain,
    ( in(sK1,sF18)
    | in(sK1,sF15) ),
    inference(definition_folding,[],[f104,f169,f168,f167,f166]) ).

fof(f104,plain,
    ( in(sK1,relation_dom(sK2))
    | in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f803,plain,
    ! [X3] :
      ( ~ in(sK1,sF15)
      | ~ in(sF14,relation_dom(X3))
      | in(sK1,relation_dom(relation_composition(sK2,X3)))
      | ~ function(X3)
      | ~ relation(X3) ),
    inference(forward_demodulation,[],[f802,f166]) ).

fof(f802,plain,
    ! [X3] :
      ( ~ in(sF14,relation_dom(X3))
      | in(sK1,relation_dom(relation_composition(sK2,X3)))
      | ~ in(sK1,relation_dom(sK2))
      | ~ function(X3)
      | ~ relation(X3) ),
    inference(subsumption_resolution,[],[f801,f102]) ).

fof(f801,plain,
    ! [X3] :
      ( ~ in(sF14,relation_dom(X3))
      | in(sK1,relation_dom(relation_composition(sK2,X3)))
      | ~ in(sK1,relation_dom(sK2))
      | ~ relation(sK2)
      | ~ function(X3)
      | ~ relation(X3) ),
    inference(subsumption_resolution,[],[f790,f103]) ).

fof(f790,plain,
    ! [X3] :
      ( ~ in(sF14,relation_dom(X3))
      | in(sK1,relation_dom(relation_composition(sK2,X3)))
      | ~ in(sK1,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2)
      | ~ function(X3)
      | ~ relation(X3) ),
    inference(superposition,[],[f143,f165]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ in(apply(X2,X0),relation_dom(X1))
      | in(X0,relation_dom(relation_composition(X2,X1)))
      | ~ in(X0,relation_dom(X2))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SEU009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38  % Computer : n013.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Wed Aug 23 14:45:02 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.bG4JMkOKzI/Vampire---4.8_16828
% 0.17/0.39  % (16975)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (16983)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.25/0.45  % (16977)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.25/0.45  % (16976)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.25/0.45  % (16979)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.25/0.45  % (16978)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.25/0.45  % (16982)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.25/0.45  % (16980)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.25/0.48  % (16980)First to succeed.
% 0.25/0.48  % (16980)Refutation found. Thanks to Tanya!
% 0.25/0.48  % SZS status Theorem for Vampire---4
% 0.25/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.48  % (16980)------------------------------
% 0.25/0.48  % (16980)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48  % (16980)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48  % (16980)Termination reason: Refutation
% 0.25/0.48  
% 0.25/0.48  % (16980)Memory used [KB]: 1535
% 0.25/0.48  % (16980)Time elapsed: 0.031 s
% 0.25/0.48  % (16980)------------------------------
% 0.25/0.48  % (16980)------------------------------
% 0.25/0.48  % (16975)Success in time 0.093 s
% 0.25/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------