TSTP Solution File: SEU229+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU229+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : 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 18:32:41 EDT 2022

% Result   : Theorem 2.21s 0.65s
% Output   : Refutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   92 (  16 unt;   0 def)
%            Number of atoms       :  317 ( 153 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  365 ( 140   ~; 149   |;  62   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-4 aty)
%            Number of variables   :  197 ( 182   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2484,plain,
    $false,
    inference(avatar_sat_refutation,[],[f973,f1450,f1968,f2483]) ).

fof(f2483,plain,
    ( spl16_8
    | spl16_9
    | spl16_15 ),
    inference(avatar_contradiction_clause,[],[f2482]) ).

fof(f2482,plain,
    ( $false
    | spl16_8
    | spl16_9
    | spl16_15 ),
    inference(subsumption_resolution,[],[f2481,f816]) ).

fof(f816,plain,
    ( sK6 != sK5
    | spl16_9 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl16_9
  <=> sK6 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f2481,plain,
    ( sK6 = sK5
    | spl16_8
    | spl16_9
    | spl16_15 ),
    inference(forward_demodulation,[],[f2480,f2390]) ).

fof(f2390,plain,
    ( sK5 = sK8(unordered_triple(sK6,sK4,sK5))
    | spl16_8
    | spl16_9 ),
    inference(subsumption_resolution,[],[f2389,f816]) ).

fof(f2389,plain,
    ( sK6 = sK5
    | sK5 = sK8(unordered_triple(sK6,sK4,sK5))
    | spl16_8 ),
    inference(subsumption_resolution,[],[f2361,f812]) ).

fof(f812,plain,
    ( sK6 != sK4
    | spl16_8 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl16_8
  <=> sK6 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

fof(f2361,plain,
    ( sK6 = sK4
    | sK5 = sK8(unordered_triple(sK6,sK4,sK5))
    | sK6 = sK5 ),
    inference(superposition,[],[f416,f438]) ).

fof(f438,plain,
    ! [X14] :
      ( sK8(unordered_triple(sK6,sK4,X14)) = sK6
      | sK8(unordered_triple(sK6,sK4,X14)) = X14 ),
    inference(resolution,[],[f324,f103]) ).

fof(f103,plain,
    in(sK6,sK4),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( in(sK6,sK4)
    & in(sK4,sK5)
    & in(sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f63,f64]) ).

fof(f64,plain,
    ( ? [X0,X1,X2] :
        ( in(X2,X0)
        & in(X0,X1)
        & in(X1,X2) )
   => ( in(sK6,sK4)
      & in(sK4,sK5)
      & in(sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ? [X0,X1,X2] :
      ( in(X2,X0)
      & in(X0,X1)
      & in(X1,X2) ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ? [X1,X2,X0] :
      ( in(X0,X1)
      & in(X1,X2)
      & in(X2,X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ~ ( in(X0,X1)
          & in(X1,X2)
          & in(X2,X0) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X0,X1,X2] :
      ~ ( in(X0,X1)
        & in(X1,X2)
        & in(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).

fof(f324,plain,
    ! [X8,X6,X7] :
      ( ~ in(X6,X7)
      | sK8(unordered_triple(X6,X7,X8)) = X8
      | sK8(unordered_triple(X6,X7,X8)) = X6 ),
    inference(resolution,[],[f263,f140]) ).

fof(f140,plain,
    ! [X0,X1,X5] : in(X5,unordered_triple(X5,X0,X1)),
    inference(equality_resolution,[],[f139]) ).

fof(f139,plain,
    ! [X3,X0,X1,X5] :
      ( in(X5,X3)
      | unordered_triple(X5,X0,X1) != X3 ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1,X5] :
      ( in(X5,X3)
      | X2 != X5
      | unordered_triple(X2,X0,X1) != X3 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3] :
      ( ( unordered_triple(X2,X0,X1) = X3
        | ( ( ( sK11(X0,X1,X2,X3) != X0
              & sK11(X0,X1,X2,X3) != X1
              & sK11(X0,X1,X2,X3) != X2 )
            | ~ in(sK11(X0,X1,X2,X3),X3) )
          & ( sK11(X0,X1,X2,X3) = X0
            | sK11(X0,X1,X2,X3) = X1
            | sK11(X0,X1,X2,X3) = X2
            | in(sK11(X0,X1,X2,X3),X3) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X3)
              | ( X0 != X5
                & X1 != X5
                & X2 != X5 ) )
            & ( X0 = X5
              | X1 = X5
              | X2 = X5
              | ~ in(X5,X3) ) )
        | unordered_triple(X2,X0,X1) != X3 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f76,f77]) ).

fof(f77,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ( ( X0 != X4
              & X1 != X4
              & X2 != X4 )
            | ~ in(X4,X3) )
          & ( X0 = X4
            | X1 = X4
            | X2 = X4
            | in(X4,X3) ) )
     => ( ( ( sK11(X0,X1,X2,X3) != X0
            & sK11(X0,X1,X2,X3) != X1
            & sK11(X0,X1,X2,X3) != X2 )
          | ~ in(sK11(X0,X1,X2,X3),X3) )
        & ( sK11(X0,X1,X2,X3) = X0
          | sK11(X0,X1,X2,X3) = X1
          | sK11(X0,X1,X2,X3) = X2
          | in(sK11(X0,X1,X2,X3),X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3] :
      ( ( unordered_triple(X2,X0,X1) = X3
        | ? [X4] :
            ( ( ( X0 != X4
                & X1 != X4
                & X2 != X4 )
              | ~ in(X4,X3) )
            & ( X0 = X4
              | X1 = X4
              | X2 = X4
              | in(X4,X3) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X3)
              | ( X0 != X5
                & X1 != X5
                & X2 != X5 ) )
            & ( X0 = X5
              | X1 = X5
              | X2 = X5
              | ~ in(X5,X3) ) )
        | unordered_triple(X2,X0,X1) != X3 ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X3,X2,X1,X0] :
      ( ( unordered_triple(X1,X3,X2) = X0
        | ? [X4] :
            ( ( ( X3 != X4
                & X2 != X4
                & X1 != X4 )
              | ~ in(X4,X0) )
            & ( X3 = X4
              | X2 = X4
              | X1 = X4
              | in(X4,X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( X3 != X4
                & X2 != X4
                & X1 != X4 ) )
            & ( X3 = X4
              | X2 = X4
              | X1 = X4
              | ~ in(X4,X0) ) )
        | unordered_triple(X1,X3,X2) != X0 ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X3,X2,X1,X0] :
      ( ( unordered_triple(X1,X3,X2) = X0
        | ? [X4] :
            ( ( ( X3 != X4
                & X2 != X4
                & X1 != X4 )
              | ~ in(X4,X0) )
            & ( X3 = X4
              | X2 = X4
              | X1 = X4
              | in(X4,X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( X3 != X4
                & X2 != X4
                & X1 != X4 ) )
            & ( X3 = X4
              | X2 = X4
              | X1 = X4
              | ~ in(X4,X0) ) )
        | unordered_triple(X1,X3,X2) != X0 ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X3,X2,X1,X0] :
      ( unordered_triple(X1,X3,X2) = X0
    <=> ! [X4] :
          ( in(X4,X0)
        <=> ( X3 = X4
            | X2 = X4
            | X1 = X4 ) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X2,X3,X0] :
      ( unordered_triple(X1,X3,X2) = X0
    <=> ! [X4] :
          ( ~ ( X2 != X4
              & X1 != X4
              & X3 != X4 )
        <=> in(X4,X0) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X0,X2,X1] :
      ( unordered_triple(X0,X1,X2) = X3
    <=> ! [X4] :
          ( ~ ( X0 != X4
              & X2 != X4
              & X1 != X4 )
        <=> in(X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_enumset1) ).

fof(f263,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(X8,unordered_triple(X9,X10,X11))
      | sK8(unordered_triple(X9,X10,X11)) = X11
      | sK8(unordered_triple(X9,X10,X11)) = X9
      | ~ in(X9,X10) ),
    inference(resolution,[],[f217,f140]) ).

fof(f217,plain,
    ! [X10,X11,X9,X12,X13] :
      ( ~ in(X12,unordered_triple(X9,X10,X11))
      | ~ in(X13,unordered_triple(X9,X10,X11))
      | sK8(unordered_triple(X9,X10,X11)) = X9
      | ~ in(X12,X10)
      | sK8(unordered_triple(X9,X10,X11)) = X11 ),
    inference(superposition,[],[f112,f203]) ).

fof(f203,plain,
    ! [X10,X11,X9] :
      ( sK8(unordered_triple(X9,X10,X11)) = X9
      | sK8(unordered_triple(X9,X10,X11)) = X10
      | sK8(unordered_triple(X9,X10,X11)) = X11 ),
    inference(resolution,[],[f141,f178]) ).

fof(f178,plain,
    ! [X3,X4,X5] : in(sK8(unordered_triple(X3,X4,X5)),unordered_triple(X3,X4,X5)),
    inference(resolution,[],[f136,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | in(sK8(X0),X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( ! [X3] :
            ( ~ in(X3,X0)
            | ~ in(X3,sK8(X0)) )
        & in(sK8(X0),X0) )
      | ~ in(X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f48,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ in(X3,X0)
              | ~ in(X3,X2) )
          & in(X2,X0) )
     => ( ! [X3] :
            ( ~ in(X3,X0)
            | ~ in(X3,sK8(X0)) )
        & in(sK8(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ in(X3,X0)
              | ~ in(X3,X2) )
          & in(X2,X0) )
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ~ ( in(X1,X0)
        & ! [X2] :
            ~ ( ! [X3] :
                  ~ ( in(X3,X0)
                    & in(X3,X2) )
              & in(X2,X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X1,X0] :
      ~ ( ! [X2] :
            ~ ( ! [X3] :
                  ~ ( in(X3,X2)
                    & in(X3,X1) )
              & in(X2,X1) )
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).

fof(f136,plain,
    ! [X2,X1,X5] : in(X5,unordered_triple(X2,X5,X1)),
    inference(equality_resolution,[],[f135]) ).

fof(f135,plain,
    ! [X2,X3,X1,X5] :
      ( in(X5,X3)
      | unordered_triple(X2,X5,X1) != X3 ),
    inference(equality_resolution,[],[f119]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1,X5] :
      ( in(X5,X3)
      | X0 != X5
      | unordered_triple(X2,X0,X1) != X3 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f141,plain,
    ! [X2,X0,X1,X5] :
      ( ~ in(X5,unordered_triple(X2,X0,X1))
      | X2 = X5
      | X1 = X5
      | X0 = X5 ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X5] :
      ( X0 = X5
      | X1 = X5
      | X2 = X5
      | ~ in(X5,X3)
      | unordered_triple(X2,X0,X1) != X3 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f112,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK8(X0))
      | ~ in(X1,X0)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f416,plain,
    ! [X13] :
      ( sK8(unordered_triple(sK6,X13,sK5)) = sK5
      | sK8(unordered_triple(sK6,X13,sK5)) = X13 ),
    inference(resolution,[],[f312,f101]) ).

fof(f101,plain,
    in(sK5,sK6),
    inference(cnf_transformation,[],[f65]) ).

fof(f312,plain,
    ! [X3,X4,X5] :
      ( ~ in(X5,X3)
      | sK8(unordered_triple(X3,X4,X5)) = X4
      | sK8(unordered_triple(X3,X4,X5)) = X5 ),
    inference(resolution,[],[f258,f138]) ).

fof(f138,plain,
    ! [X2,X0,X5] : in(X5,unordered_triple(X2,X0,X5)),
    inference(equality_resolution,[],[f137]) ).

fof(f137,plain,
    ! [X2,X3,X0,X5] :
      ( in(X5,X3)
      | unordered_triple(X2,X0,X5) != X3 ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1,X5] :
      ( in(X5,X3)
      | X1 != X5
      | unordered_triple(X2,X0,X1) != X3 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f258,plain,
    ! [X6,X7,X4,X5] :
      ( ~ in(X6,unordered_triple(X5,X7,X4))
      | sK8(unordered_triple(X5,X7,X4)) = X7
      | ~ in(X4,X5)
      | sK8(unordered_triple(X5,X7,X4)) = X4 ),
    inference(resolution,[],[f213,f138]) ).

fof(f213,plain,
    ! [X10,X11,X9,X12,X13] :
      ( ~ in(X12,unordered_triple(X9,X10,X11))
      | ~ in(X12,X9)
      | ~ in(X13,unordered_triple(X9,X10,X11))
      | sK8(unordered_triple(X9,X10,X11)) = X11
      | sK8(unordered_triple(X9,X10,X11)) = X10 ),
    inference(superposition,[],[f112,f203]) ).

fof(f2480,plain,
    ( sK6 = sK8(unordered_triple(sK6,sK4,sK5))
    | spl16_9
    | spl16_15 ),
    inference(subsumption_resolution,[],[f2479,f1325]) ).

fof(f1325,plain,
    ( sK5 != sK4
    | spl16_15 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f1324,plain,
    ( spl16_15
  <=> sK5 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).

fof(f2479,plain,
    ( sK5 = sK4
    | sK6 = sK8(unordered_triple(sK6,sK4,sK5))
    | spl16_9 ),
    inference(subsumption_resolution,[],[f2397,f816]) ).

fof(f2397,plain,
    ( sK6 = sK5
    | sK5 = sK4
    | sK6 = sK8(unordered_triple(sK6,sK4,sK5)) ),
    inference(superposition,[],[f494,f438]) ).

fof(f494,plain,
    ! [X12] :
      ( sK8(unordered_triple(X12,sK4,sK5)) = X12
      | sK8(unordered_triple(X12,sK4,sK5)) = sK4 ),
    inference(resolution,[],[f333,f102]) ).

fof(f102,plain,
    in(sK4,sK5),
    inference(cnf_transformation,[],[f65]) ).

fof(f333,plain,
    ! [X10,X11,X9] :
      ( ~ in(X10,X11)
      | sK8(unordered_triple(X9,X10,X11)) = X10
      | sK8(unordered_triple(X9,X10,X11)) = X9 ),
    inference(resolution,[],[f284,f178]) ).

fof(f284,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X0,unordered_triple(X1,X2,X3))
      | sK8(unordered_triple(X1,X2,X3)) = X2
      | ~ in(X2,X3)
      | sK8(unordered_triple(X1,X2,X3)) = X1 ),
    inference(resolution,[],[f221,f136]) ).

fof(f221,plain,
    ! [X10,X11,X9,X12,X13] :
      ( ~ in(X12,unordered_triple(X9,X10,X11))
      | ~ in(X13,unordered_triple(X9,X10,X11))
      | sK8(unordered_triple(X9,X10,X11)) = X9
      | ~ in(X12,X11)
      | sK8(unordered_triple(X9,X10,X11)) = X10 ),
    inference(superposition,[],[f112,f203]) ).

fof(f1968,plain,
    ~ spl16_9,
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f1851,f338]) ).

fof(f338,plain,
    ! [X3] : ~ in(X3,X3),
    inference(forward_demodulation,[],[f337,f250]) ).

fof(f250,plain,
    ! [X0] : sK8(unordered_triple(X0,X0,X0)) = X0,
    inference(equality_resolution,[],[f246]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( X0 != X1
      | sK8(unordered_triple(X0,X0,X1)) = X1 ),
    inference(equality_factoring,[],[f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( sK8(unordered_triple(X0,X0,X1)) = X0
      | sK8(unordered_triple(X0,X0,X1)) = X1 ),
    inference(equality_resolution,[],[f222]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | sK8(unordered_triple(X0,X1,X2)) = X1
      | sK8(unordered_triple(X0,X1,X2)) = X2 ),
    inference(equality_factoring,[],[f203]) ).

fof(f337,plain,
    ! [X3] : ~ in(sK8(unordered_triple(X3,X3,X3)),X3),
    inference(resolution,[],[f329,f178]) ).

fof(f329,plain,
    ! [X6,X7] :
      ( ~ in(X6,unordered_triple(X7,X7,X7))
      | ~ in(X6,X7) ),
    inference(resolution,[],[f254,f178]) ).

fof(f254,plain,
    ! [X10,X8,X9] :
      ( ~ in(X10,unordered_triple(X8,X8,X8))
      | ~ in(X9,unordered_triple(X8,X8,X8))
      | ~ in(X9,X8) ),
    inference(superposition,[],[f112,f250]) ).

fof(f1851,plain,
    ( in(sK5,sK5)
    | ~ spl16_9 ),
    inference(backward_demodulation,[],[f101,f817]) ).

fof(f817,plain,
    ( sK6 = sK5
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f1450,plain,
    ~ spl16_15,
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1449,plain,
    ( $false
    | ~ spl16_15 ),
    inference(subsumption_resolution,[],[f1341,f103]) ).

fof(f1341,plain,
    ( ~ in(sK6,sK4)
    | ~ spl16_15 ),
    inference(backward_demodulation,[],[f142,f1326]) ).

fof(f1326,plain,
    ( sK5 = sK4
    | ~ spl16_15 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f142,plain,
    ~ in(sK6,sK5),
    inference(resolution,[],[f90,f101]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( in(X1,X0)
     => ~ in(X0,X1) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f973,plain,
    ~ spl16_8,
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f972,plain,
    ( $false
    | ~ spl16_8 ),
    inference(subsumption_resolution,[],[f885,f143]) ).

fof(f143,plain,
    ~ in(sK5,sK4),
    inference(resolution,[],[f90,f102]) ).

fof(f885,plain,
    ( in(sK5,sK4)
    | ~ spl16_8 ),
    inference(backward_demodulation,[],[f101,f813]) ).

fof(f813,plain,
    ( sK6 = sK4
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f811]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU229+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:18:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.44  % (26413)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.44  % (26397)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.45  % (26397)Instruction limit reached!
% 0.19/0.45  % (26397)------------------------------
% 0.19/0.45  % (26397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (26397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (26397)Termination reason: Unknown
% 0.19/0.45  % (26397)Termination phase: Saturation
% 0.19/0.45  
% 0.19/0.45  % (26397)Memory used [KB]: 5500
% 0.19/0.45  % (26397)Time elapsed: 0.051 s
% 0.19/0.45  % (26397)Instructions burned: 7 (million)
% 0.19/0.45  % (26397)------------------------------
% 0.19/0.45  % (26397)------------------------------
% 0.19/0.50  % (26395)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (26392)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (26414)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (26398)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (26398)Instruction limit reached!
% 0.19/0.51  % (26398)------------------------------
% 0.19/0.51  % (26398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26398)Termination reason: Unknown
% 0.19/0.51  % (26398)Termination phase: Blocked clause elimination
% 0.19/0.51  
% 0.19/0.51  % (26398)Memory used [KB]: 895
% 0.19/0.51  % (26398)Time elapsed: 0.002 s
% 0.19/0.51  % (26398)Instructions burned: 3 (million)
% 0.19/0.51  % (26398)------------------------------
% 0.19/0.51  % (26398)------------------------------
% 0.19/0.52  % (26393)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (26396)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (26403)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (26400)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (26390)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (26418)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (26399)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (26408)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (26405)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (26417)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (26412)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (26404)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (26409)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (26391)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (26391)Refutation not found, incomplete strategy% (26391)------------------------------
% 0.19/0.53  % (26391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26391)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (26391)Memory used [KB]: 5500
% 0.19/0.53  % (26391)Time elapsed: 0.138 s
% 0.19/0.53  % (26391)Instructions burned: 4 (million)
% 0.19/0.53  % (26391)------------------------------
% 0.19/0.53  % (26391)------------------------------
% 0.19/0.53  % (26406)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (26410)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (26416)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (26401)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (26407)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (26415)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.55  % (26419)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  % (26394)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.56  TRYING [4]
% 0.19/0.56  TRYING [4]
% 0.19/0.56  % (26411)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (26402)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56  % (26392)Instruction limit reached!
% 0.19/0.56  % (26392)------------------------------
% 0.19/0.56  % (26392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26392)Termination reason: Unknown
% 0.19/0.56  % (26392)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (26392)Memory used [KB]: 1151
% 0.19/0.56  % (26392)Time elapsed: 0.169 s
% 0.19/0.56  % (26392)Instructions burned: 39 (million)
% 0.19/0.56  % (26392)------------------------------
% 0.19/0.56  % (26392)------------------------------
% 0.19/0.58  % (26420)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.86/0.59  % (26395)Instruction limit reached!
% 1.86/0.59  % (26395)------------------------------
% 1.86/0.59  % (26395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (26395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (26395)Termination reason: Unknown
% 1.86/0.59  % (26395)Termination phase: Saturation
% 1.86/0.59  
% 1.86/0.59  % (26395)Memory used [KB]: 5756
% 1.86/0.59  % (26395)Time elapsed: 0.194 s
% 1.86/0.59  % (26395)Instructions burned: 48 (million)
% 1.86/0.59  % (26395)------------------------------
% 1.86/0.59  % (26395)------------------------------
% 1.86/0.59  % (26400)Instruction limit reached!
% 1.86/0.59  % (26400)------------------------------
% 1.86/0.59  % (26400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (26400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (26400)Termination reason: Unknown
% 1.86/0.59  % (26400)Termination phase: Saturation
% 1.86/0.59  
% 1.86/0.59  % (26400)Memory used [KB]: 5756
% 1.86/0.59  % (26400)Time elapsed: 0.206 s
% 1.86/0.59  % (26400)Instructions burned: 50 (million)
% 1.86/0.59  % (26400)------------------------------
% 1.86/0.59  % (26400)------------------------------
% 1.86/0.59  TRYING [5]
% 1.86/0.60  % (26399)Instruction limit reached!
% 1.86/0.60  % (26399)------------------------------
% 1.86/0.60  % (26399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (26399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (26399)Termination reason: Unknown
% 1.86/0.60  % (26399)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (26399)Memory used [KB]: 1279
% 1.86/0.60  % (26399)Time elapsed: 0.174 s
% 1.86/0.60  % (26399)Instructions burned: 51 (million)
% 1.86/0.60  % (26399)------------------------------
% 1.86/0.60  % (26399)------------------------------
% 1.86/0.60  % (26393)Instruction limit reached!
% 1.86/0.60  % (26393)------------------------------
% 1.86/0.60  % (26393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (26393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (26393)Termination reason: Unknown
% 1.86/0.60  % (26393)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (26393)Memory used [KB]: 6268
% 1.86/0.60  % (26393)Time elapsed: 0.190 s
% 1.86/0.60  % (26393)Instructions burned: 53 (million)
% 1.86/0.60  % (26393)------------------------------
% 1.86/0.60  % (26393)------------------------------
% 2.00/0.61  % (26396)Instruction limit reached!
% 2.00/0.61  % (26396)------------------------------
% 2.00/0.61  % (26396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.61  % (26396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.61  % (26396)Termination reason: Unknown
% 2.00/0.61  % (26396)Termination phase: Finite model building SAT solving
% 2.00/0.61  
% 2.00/0.61  % (26396)Memory used [KB]: 7547
% 2.00/0.61  % (26396)Time elapsed: 0.160 s
% 2.00/0.61  % (26396)Instructions burned: 51 (million)
% 2.00/0.61  % (26396)------------------------------
% 2.00/0.61  % (26396)------------------------------
% 2.00/0.62  % (26405)Instruction limit reached!
% 2.00/0.62  % (26405)------------------------------
% 2.00/0.62  % (26405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (26405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (26405)Termination reason: Unknown
% 2.00/0.62  % (26405)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (26405)Memory used [KB]: 1279
% 2.00/0.62  % (26405)Time elapsed: 0.197 s
% 2.00/0.62  % (26405)Instructions burned: 76 (million)
% 2.00/0.62  % (26405)------------------------------
% 2.00/0.62  % (26405)------------------------------
% 2.00/0.62  TRYING [5]
% 2.00/0.63  % (26407)Instruction limit reached!
% 2.00/0.63  % (26407)------------------------------
% 2.00/0.63  % (26407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (26407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (26407)Termination reason: Unknown
% 2.00/0.63  % (26407)Termination phase: Finite model building constraint generation
% 2.00/0.63  
% 2.00/0.63  % (26407)Memory used [KB]: 8187
% 2.00/0.63  % (26407)Time elapsed: 0.234 s
% 2.00/0.63  % (26407)Instructions burned: 62 (million)
% 2.00/0.63  % (26407)------------------------------
% 2.00/0.63  % (26407)------------------------------
% 2.21/0.63  % (26404)Instruction limit reached!
% 2.21/0.63  % (26404)------------------------------
% 2.21/0.63  % (26404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.63  % (26404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.63  % (26404)Termination reason: Unknown
% 2.21/0.63  % (26404)Termination phase: Saturation
% 2.21/0.63  
% 2.21/0.63  % (26404)Memory used [KB]: 6268
% 2.21/0.63  % (26404)Time elapsed: 0.031 s
% 2.21/0.63  % (26404)Instructions burned: 68 (million)
% 2.21/0.63  % (26404)------------------------------
% 2.21/0.63  % (26404)------------------------------
% 2.21/0.64  % (26394)Instruction limit reached!
% 2.21/0.64  % (26394)------------------------------
% 2.21/0.64  % (26394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64  % (26394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64  % (26394)Termination reason: Unknown
% 2.21/0.64  % (26394)Termination phase: Saturation
% 2.21/0.64  
% 2.21/0.64  % (26394)Memory used [KB]: 5884
% 2.21/0.64  % (26394)Time elapsed: 0.197 s
% 2.21/0.64  % (26394)Instructions burned: 51 (million)
% 2.21/0.64  % (26394)------------------------------
% 2.21/0.64  % (26394)------------------------------
% 2.21/0.64  % (26409)Instruction limit reached!
% 2.21/0.64  % (26409)------------------------------
% 2.21/0.64  % (26409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64  % (26409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64  % (26409)Termination reason: Unknown
% 2.21/0.64  % (26409)Termination phase: Saturation
% 2.21/0.64  
% 2.21/0.64  % (26409)Memory used [KB]: 1407
% 2.21/0.64  % (26409)Time elapsed: 0.249 s
% 2.21/0.64  % (26409)Instructions burned: 100 (million)
% 2.21/0.64  % (26409)------------------------------
% 2.21/0.64  % (26409)------------------------------
% 2.21/0.65  % (26413)First to succeed.
% 2.21/0.65  % (26408)Instruction limit reached!
% 2.21/0.65  % (26408)------------------------------
% 2.21/0.65  % (26408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65  % (26408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65  % (26408)Termination reason: Unknown
% 2.21/0.65  % (26408)Termination phase: Saturation
% 2.21/0.65  
% 2.21/0.65  % (26408)Memory used [KB]: 5884
% 2.21/0.65  % (26408)Time elapsed: 0.228 s
% 2.21/0.65  % (26408)Instructions burned: 102 (million)
% 2.21/0.65  % (26408)------------------------------
% 2.21/0.65  % (26408)------------------------------
% 2.21/0.65  % (26413)Refutation found. Thanks to Tanya!
% 2.21/0.65  % SZS status Theorem for theBenchmark
% 2.21/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.65  % (26413)------------------------------
% 2.21/0.65  % (26413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65  % (26413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65  % (26413)Termination reason: Refutation
% 2.21/0.65  
% 2.21/0.65  % (26413)Memory used [KB]: 6140
% 2.21/0.65  % (26413)Time elapsed: 0.253 s
% 2.21/0.65  % (26413)Instructions burned: 145 (million)
% 2.21/0.65  % (26413)------------------------------
% 2.21/0.65  % (26413)------------------------------
% 2.21/0.65  % (26389)Success in time 0.301 s
%------------------------------------------------------------------------------