TSTP Solution File: SEU406+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU406+3 : TPTP v8.1.2. Released v3.4.0.
% 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 : n028.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 17:58:47 EDT 2023

% Result   : Theorem 8.50s 3.18s
% Output   : Refutation 8.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   54 (   3 unt;   0 def)
%            Number of atoms       :  288 (  20 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  378 ( 144   ~; 134   |;  87   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   84 (;  68   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136350,plain,
    $false,
    inference(avatar_sat_refutation,[],[f135754,f135763,f135764,f135765,f136056,f136237,f136343,f136349]) ).

fof(f136349,plain,
    ( ~ spl8501_72
    | spl8501_4
    | spl8501_2 ),
    inference(avatar_split_clause,[],[f136278,f135751,f135760,f136229]) ).

fof(f136229,plain,
    ( spl8501_72
  <=> r2_hidden(sK1326,sK1327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_72])]) ).

fof(f135760,plain,
    ( spl8501_4
  <=> r2_hidden(sK1326,sK1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_4])]) ).

fof(f135751,plain,
    ( spl8501_2
  <=> r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_2])]) ).

fof(f136278,plain,
    ( r2_hidden(sK1326,sK1328)
    | ~ r2_hidden(sK1326,sK1327)
    | spl8501_2 ),
    inference(resolution,[],[f135753,f121003]) ).

fof(f121003,plain,
    ! [X0,X1,X4] :
      ( r2_hidden(X4,k4_xboole_0(X0,X1))
      | r2_hidden(X4,X1)
      | ~ r2_hidden(X4,X0) ),
    inference(equality_resolution,[],[f112861]) ).

fof(f112861,plain,
    ! [X2,X0,X1,X4] :
      ( r2_hidden(X4,X2)
      | r2_hidden(X4,X1)
      | ~ r2_hidden(X4,X0)
      | k4_xboole_0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f68061]) ).

fof(f68061,plain,
    ! [X0,X1,X2] :
      ( ( k4_xboole_0(X0,X1) = X2
        | ( ( r2_hidden(sK7826(X0,X1,X2),X1)
            | ~ r2_hidden(sK7826(X0,X1,X2),X0)
            | ~ r2_hidden(sK7826(X0,X1,X2),X2) )
          & ( ( ~ r2_hidden(sK7826(X0,X1,X2),X1)
              & r2_hidden(sK7826(X0,X1,X2),X0) )
            | r2_hidden(sK7826(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | r2_hidden(X4,X1)
              | ~ r2_hidden(X4,X0) )
            & ( ( ~ r2_hidden(X4,X1)
                & r2_hidden(X4,X0) )
              | ~ r2_hidden(X4,X2) ) )
        | k4_xboole_0(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7826])],[f68059,f68060]) ).

fof(f68060,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0)
            | ~ r2_hidden(X3,X2) )
          & ( ( ~ r2_hidden(X3,X1)
              & r2_hidden(X3,X0) )
            | r2_hidden(X3,X2) ) )
     => ( ( r2_hidden(sK7826(X0,X1,X2),X1)
          | ~ r2_hidden(sK7826(X0,X1,X2),X0)
          | ~ r2_hidden(sK7826(X0,X1,X2),X2) )
        & ( ( ~ r2_hidden(sK7826(X0,X1,X2),X1)
            & r2_hidden(sK7826(X0,X1,X2),X0) )
          | r2_hidden(sK7826(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f68059,plain,
    ! [X0,X1,X2] :
      ( ( k4_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) )
            & ( ( ~ r2_hidden(X3,X1)
                & r2_hidden(X3,X0) )
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | r2_hidden(X4,X1)
              | ~ r2_hidden(X4,X0) )
            & ( ( ~ r2_hidden(X4,X1)
                & r2_hidden(X4,X0) )
              | ~ r2_hidden(X4,X2) ) )
        | k4_xboole_0(X0,X1) != X2 ) ),
    inference(rectify,[],[f68058]) ).

fof(f68058,plain,
    ! [X0,X1,X2] :
      ( ( k4_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) )
            & ( ( ~ r2_hidden(X3,X1)
                & r2_hidden(X3,X0) )
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X0) )
            & ( ( ~ r2_hidden(X3,X1)
                & r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) ) )
        | k4_xboole_0(X0,X1) != X2 ) ),
    inference(flattening,[],[f68057]) ).

fof(f68057,plain,
    ! [X0,X1,X2] :
      ( ( k4_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) )
            & ( ( ~ r2_hidden(X3,X1)
                & r2_hidden(X3,X0) )
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | r2_hidden(X3,X1)
              | ~ r2_hidden(X3,X0) )
            & ( ( ~ r2_hidden(X3,X1)
                & r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) ) )
        | k4_xboole_0(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( k4_xboole_0(X0,X1) = X2
    <=> ! [X3] :
          ( r2_hidden(X3,X2)
        <=> ( ~ r2_hidden(X3,X1)
            & r2_hidden(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XYqcaCaEE8/Vampire---4.8_32343',d4_xboole_0) ).

fof(f135753,plain,
    ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
    | spl8501_2 ),
    inference(avatar_component_clause,[],[f135751]) ).

fof(f136343,plain,
    ( spl8501_1
    | spl8501_3
    | ~ spl8501_19 ),
    inference(avatar_contradiction_clause,[],[f136342]) ).

fof(f136342,plain,
    ( $false
    | spl8501_1
    | spl8501_3
    | ~ spl8501_19 ),
    inference(subsumption_resolution,[],[f136341,f135874]) ).

fof(f135874,plain,
    ( r2_hidden(sK1325,sK1327)
    | ~ spl8501_19 ),
    inference(avatar_component_clause,[],[f135872]) ).

fof(f135872,plain,
    ( spl8501_19
  <=> r2_hidden(sK1325,sK1327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_19])]) ).

fof(f136341,plain,
    ( ~ r2_hidden(sK1325,sK1327)
    | spl8501_1
    | spl8501_3 ),
    inference(subsumption_resolution,[],[f136335,f135749]) ).

fof(f135749,plain,
    ( ~ r2_hidden(sK1325,sK1328)
    | spl8501_1 ),
    inference(avatar_component_clause,[],[f135747]) ).

fof(f135747,plain,
    ( spl8501_1
  <=> r2_hidden(sK1325,sK1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_1])]) ).

fof(f136335,plain,
    ( r2_hidden(sK1325,sK1328)
    | ~ r2_hidden(sK1325,sK1327)
    | spl8501_3 ),
    inference(resolution,[],[f135758,f121003]) ).

fof(f135758,plain,
    ( ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328))
    | spl8501_3 ),
    inference(avatar_component_clause,[],[f135756]) ).

fof(f135756,plain,
    ( spl8501_3
  <=> r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8501_3])]) ).

fof(f136237,plain,
    ( spl8501_4
    | spl8501_72 ),
    inference(avatar_split_clause,[],[f136236,f136229,f135760]) ).

fof(f136236,plain,
    ( r2_hidden(sK1326,sK1327)
    | r2_hidden(sK1326,sK1328) ),
    inference(global_subsumption,[],[f136193]) ).

fof(f136193,plain,
    ( r2_hidden(sK1326,sK1327)
    | r2_hidden(sK1326,sK1328) ),
    inference(resolution,[],[f69651,f121008]) ).

fof(f121008,plain,
    ! [X0,X1,X4] :
      ( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
      | r2_hidden(X4,X0)
      | r2_hidden(X4,X1) ),
    inference(equality_resolution,[],[f112865]) ).

fof(f112865,plain,
    ! [X2,X0,X1,X4] :
      ( r2_hidden(X4,X1)
      | r2_hidden(X4,X0)
      | ~ r2_hidden(X4,X2)
      | k2_xboole_0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f68066]) ).

fof(f68066,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ( ( ( ~ r2_hidden(sK7827(X0,X1,X2),X1)
              & ~ r2_hidden(sK7827(X0,X1,X2),X0) )
            | ~ r2_hidden(sK7827(X0,X1,X2),X2) )
          & ( r2_hidden(sK7827(X0,X1,X2),X1)
            | r2_hidden(sK7827(X0,X1,X2),X0)
            | r2_hidden(sK7827(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X0) ) )
            & ( r2_hidden(X4,X1)
              | r2_hidden(X4,X0)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7827])],[f68064,f68065]) ).

fof(f68065,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ r2_hidden(X3,X1)
              & ~ r2_hidden(X3,X0) )
            | ~ r2_hidden(X3,X2) )
          & ( r2_hidden(X3,X1)
            | r2_hidden(X3,X0)
            | r2_hidden(X3,X2) ) )
     => ( ( ( ~ r2_hidden(sK7827(X0,X1,X2),X1)
            & ~ r2_hidden(sK7827(X0,X1,X2),X0) )
          | ~ r2_hidden(sK7827(X0,X1,X2),X2) )
        & ( r2_hidden(sK7827(X0,X1,X2),X1)
          | r2_hidden(sK7827(X0,X1,X2),X0)
          | r2_hidden(sK7827(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f68064,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( r2_hidden(X4,X2)
              | ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X0) ) )
            & ( r2_hidden(X4,X1)
              | r2_hidden(X4,X0)
              | ~ r2_hidden(X4,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(rectify,[],[f68063]) ).

fof(f68063,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) ) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(flattening,[],[f68062]) ).

fof(f68062,plain,
    ! [X0,X1,X2] :
      ( ( k2_xboole_0(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) )
              | ~ r2_hidden(X3,X2) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | r2_hidden(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( r2_hidden(X3,X2)
              | ( ~ r2_hidden(X3,X1)
                & ~ r2_hidden(X3,X0) ) )
            & ( r2_hidden(X3,X1)
              | r2_hidden(X3,X0)
              | ~ r2_hidden(X3,X2) ) )
        | k2_xboole_0(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1,X2] :
      ( k2_xboole_0(X0,X1) = X2
    <=> ! [X3] :
          ( r2_hidden(X3,X2)
        <=> ( r2_hidden(X3,X1)
            | r2_hidden(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XYqcaCaEE8/Vampire---4.8_32343',d2_xboole_0) ).

fof(f69651,plain,
    r2_hidden(sK1326,k2_xboole_0(sK1327,sK1328)),
    inference(cnf_transformation,[],[f49803]) ).

fof(f49803,plain,
    ( ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
      | ~ r2_hidden(sK1325,sK1328) )
    & ( ~ r2_hidden(sK1326,sK1328)
      | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) )
    & ( ~ r2_hidden(sK1326,sK1328)
      | ~ r2_hidden(sK1325,sK1328) )
    & ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
      | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) )
    & r2_hidden(sK1326,k2_xboole_0(sK1327,sK1328))
    & r2_hidden(sK1325,k2_xboole_0(sK1327,sK1328)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1325,sK1326,sK1327,sK1328])],[f19556,f49802]) ).

fof(f49802,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
          | ~ r2_hidden(X0,X3) )
        & ( ~ r2_hidden(X1,X3)
          | ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
        & ( ~ r2_hidden(X1,X3)
          | ~ r2_hidden(X0,X3) )
        & ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
          | ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
        & r2_hidden(X1,k2_xboole_0(X2,X3))
        & r2_hidden(X0,k2_xboole_0(X2,X3)) )
   => ( ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
        | ~ r2_hidden(sK1325,sK1328) )
      & ( ~ r2_hidden(sK1326,sK1328)
        | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) )
      & ( ~ r2_hidden(sK1326,sK1328)
        | ~ r2_hidden(sK1325,sK1328) )
      & ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
        | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) )
      & r2_hidden(sK1326,k2_xboole_0(sK1327,sK1328))
      & r2_hidden(sK1325,k2_xboole_0(sK1327,sK1328)) ) ),
    introduced(choice_axiom,[]) ).

fof(f19556,plain,
    ? [X0,X1,X2,X3] :
      ( ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
        | ~ r2_hidden(X0,X3) )
      & ( ~ r2_hidden(X1,X3)
        | ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
      & ( ~ r2_hidden(X1,X3)
        | ~ r2_hidden(X0,X3) )
      & ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
        | ~ r2_hidden(X0,k4_xboole_0(X2,X3)) )
      & r2_hidden(X1,k2_xboole_0(X2,X3))
      & r2_hidden(X0,k2_xboole_0(X2,X3)) ),
    inference(ennf_transformation,[],[f19024]) ).

fof(f19024,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
              & r2_hidden(X0,X3) )
          & ~ ( r2_hidden(X1,X3)
              & r2_hidden(X0,k4_xboole_0(X2,X3)) )
          & ~ ( r2_hidden(X1,X3)
              & r2_hidden(X0,X3) )
          & ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
              & r2_hidden(X0,k4_xboole_0(X2,X3)) )
          & r2_hidden(X1,k2_xboole_0(X2,X3))
          & r2_hidden(X0,k2_xboole_0(X2,X3)) ),
    inference(negated_conjecture,[],[f19023]) ).

fof(f19023,conjecture,
    ! [X0,X1,X2,X3] :
      ~ ( ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
            & r2_hidden(X0,X3) )
        & ~ ( r2_hidden(X1,X3)
            & r2_hidden(X0,k4_xboole_0(X2,X3)) )
        & ~ ( r2_hidden(X1,X3)
            & r2_hidden(X0,X3) )
        & ~ ( r2_hidden(X1,k4_xboole_0(X2,X3))
            & r2_hidden(X0,k4_xboole_0(X2,X3)) )
        & r2_hidden(X1,k2_xboole_0(X2,X3))
        & r2_hidden(X0,k2_xboole_0(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.XYqcaCaEE8/Vampire---4.8_32343',t1_latsum_1) ).

fof(f136056,plain,
    ( spl8501_19
    | spl8501_1 ),
    inference(avatar_split_clause,[],[f136055,f135747,f135872]) ).

fof(f136055,plain,
    ( r2_hidden(sK1325,sK1328)
    | r2_hidden(sK1325,sK1327) ),
    inference(global_subsumption,[],[f135832]) ).

fof(f135832,plain,
    ( r2_hidden(sK1325,sK1327)
    | r2_hidden(sK1325,sK1328) ),
    inference(resolution,[],[f69650,f121008]) ).

fof(f69650,plain,
    r2_hidden(sK1325,k2_xboole_0(sK1327,sK1328)),
    inference(cnf_transformation,[],[f49803]) ).

fof(f135765,plain,
    ( ~ spl8501_3
    | ~ spl8501_2 ),
    inference(avatar_split_clause,[],[f69652,f135751,f135756]) ).

fof(f69652,plain,
    ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
    | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) ),
    inference(cnf_transformation,[],[f49803]) ).

fof(f135764,plain,
    ( ~ spl8501_1
    | ~ spl8501_4 ),
    inference(avatar_split_clause,[],[f69653,f135760,f135747]) ).

fof(f69653,plain,
    ( ~ r2_hidden(sK1326,sK1328)
    | ~ r2_hidden(sK1325,sK1328) ),
    inference(cnf_transformation,[],[f49803]) ).

fof(f135763,plain,
    ( ~ spl8501_3
    | ~ spl8501_4 ),
    inference(avatar_split_clause,[],[f69654,f135760,f135756]) ).

fof(f69654,plain,
    ( ~ r2_hidden(sK1326,sK1328)
    | ~ r2_hidden(sK1325,k4_xboole_0(sK1327,sK1328)) ),
    inference(cnf_transformation,[],[f49803]) ).

fof(f135754,plain,
    ( ~ spl8501_1
    | ~ spl8501_2 ),
    inference(avatar_split_clause,[],[f69655,f135751,f135747]) ).

fof(f69655,plain,
    ( ~ r2_hidden(sK1326,k4_xboole_0(sK1327,sK1328))
    | ~ r2_hidden(sK1325,sK1328) ),
    inference(cnf_transformation,[],[f49803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.19/1.28  % Problem    : SEU406+3 : TPTP v8.1.2. Released v3.4.0.
% 1.28/1.29  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 1.29/1.50  % Computer : n028.cluster.edu
% 1.29/1.50  % Model    : x86_64 x86_64
% 1.29/1.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.29/1.50  % Memory   : 8042.1875MB
% 1.29/1.50  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.29/1.50  % CPULimit   : 300
% 1.29/1.50  % WCLimit    : 300
% 1.29/1.50  % DateTime   : Wed Aug 23 14:22:37 EDT 2023
% 1.29/1.50  % CPUTime    : 
% 1.29/1.51  This is a FOF_THM_RFO_SEQ problem
% 1.29/1.51  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.XYqcaCaEE8/Vampire---4.8_32343
% 1.29/1.51  % (32454)Running in auto input_syntax mode. Trying TPTP
% 2.07/2.26  % (32464)lrs+1002_3:4_add=off:ep=RST:fsd=off:fde=none:gs=on:sos=on:sp=scramble:stl=62_388 on Vampire---4 for (388ds/0Mi)
% 2.07/2.26  % (32462)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_428 on Vampire---4 for (428ds/0Mi)
% 2.07/2.29  % (32455)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_802 on Vampire---4 for (802ds/0Mi)
% 2.07/2.29  % (32458)dis-1010_1_fsd=off:fsr=off:fde=none:nm=4:sos=all:urr=ec_only_615 on Vampire---4 for (615ds/0Mi)
% 2.07/2.29  % (32457)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_619 on Vampire---4 for (619ds/0Mi)
% 2.07/2.29  % (32459)lrs+10_7_av=off:bd=preordered:bs=on:ep=RS:fsd=off:irw=on:nm=4:nwc=1.2:sos=all:tgt=full:urr=ec_only:stl=62_571 on Vampire---4 for (571ds/0Mi)
% 2.07/2.29  % (32461)ott+1011_2_afr=on:amm=sco:anc=all:bs=unit_only:bsr=on:cond=on:er=known:fde=unused:gs=on:gsem=on:lcm=reverse:lma=on:msp=off:nm=2:nwc=1.1:nicw=on:sas=z3:sos=all:sac=on:sp=reverse_arity_550 on Vampire---4 for (550ds/0Mi)
% 8.50/3.17  % (32464)First to succeed.
% 8.50/3.18  % (32464)Refutation found. Thanks to Tanya!
% 8.50/3.18  % SZS status Theorem for Vampire---4
% 8.50/3.18  % SZS output start Proof for Vampire---4
% See solution above
% 8.50/3.18  % (32464)------------------------------
% 8.50/3.18  % (32464)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.50/3.18  % (32464)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.50/3.18  % (32464)Termination reason: Refutation
% 8.50/3.18  
% 8.50/3.18  % (32464)Memory used [KB]: 124347
% 8.50/3.18  % (32464)Time elapsed: 0.912 s
% 8.50/3.18  % (32464)------------------------------
% 8.50/3.18  % (32464)------------------------------
% 8.50/3.18  % (32454)Success in time 1.669 s
% 8.50/3.19  % Vampire---4.8 exiting
%------------------------------------------------------------------------------