TSTP Solution File: SEU027+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU027+1 : 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_uns --cores 0 -t %d %s

% Computer : n020.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 18:26:23 EDT 2022

% Result   : Theorem 1.73s 0.62s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  125 (  15 unt;   0 def)
%            Number of atoms       :  850 ( 284 equ)
%            Maximal formula atoms :   28 (   6 avg)
%            Number of connectives : 1170 ( 445   ~; 490   |; 182   &)
%                                         (  28 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :  167 ( 133   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1548,plain,
    $false,
    inference(avatar_sat_refutation,[],[f545,f563,f612,f614,f692,f762,f782,f794,f806,f1278,f1326,f1343,f1477,f1488,f1510,f1511,f1526,f1546,f1547]) ).

fof(f1547,plain,
    ( ~ spl19_128
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_130
    | ~ spl19_135
    | ~ spl19_18
    | spl19_129
    | ~ spl19_19
    | ~ spl19_35
    | ~ spl19_140 ),
    inference(avatar_split_clause,[],[f1535,f1474,f485,f406,f1271,f402,f1323,f1275,f310,f305,f1267]) ).

fof(f1267,plain,
    ( spl19_128
  <=> in(sK9(sK17,sK18),relation_rng(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_128])]) ).

fof(f305,plain,
    ( spl19_7
  <=> relation(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).

fof(f310,plain,
    ( spl19_8
  <=> relation(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

fof(f1275,plain,
    ( spl19_130
  <=> in(sK10(sK17,sK18),relation_rng(sK17)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_130])]) ).

fof(f1323,plain,
    ( spl19_135
  <=> apply(sK17,sK9(sK17,sK18)) = sK10(sK17,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_135])]) ).

fof(f402,plain,
    ( spl19_18
  <=> one_to_one(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).

fof(f1271,plain,
    ( spl19_129
  <=> sK18 = function_inverse(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_129])]) ).

fof(f406,plain,
    ( spl19_19
  <=> function(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).

fof(f485,plain,
    ( spl19_35
  <=> function(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_35])]) ).

fof(f1474,plain,
    ( spl19_140
  <=> apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_140])]) ).

fof(f1535,plain,
    ( ~ function(sK18)
    | ~ function(sK17)
    | sK18 = function_inverse(sK17)
    | ~ one_to_one(sK17)
    | apply(sK17,sK9(sK17,sK18)) != sK10(sK17,sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ relation(sK18)
    | ~ relation(sK17)
    | ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ spl19_140 ),
    inference(trivial_inequality_removal,[],[f1534]) ).

fof(f1534,plain,
    ( relation_rng(sK17) != relation_rng(sK17)
    | ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | sK18 = function_inverse(sK17)
    | ~ relation(sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ function(sK17)
    | ~ one_to_one(sK17)
    | ~ function(sK18)
    | apply(sK17,sK9(sK17,sK18)) != sK10(sK17,sK18)
    | ~ relation(sK17)
    | ~ spl19_140 ),
    inference(forward_demodulation,[],[f1533,f205]) ).

fof(f205,plain,
    relation_rng(sK17) = relation_dom(sK18),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( relation(sK17)
    & relation_rng(sK17) = relation_dom(sK18)
    & relation(sK18)
    & ! [X2,X3] :
        ( ~ in(X3,relation_dom(sK17))
        | ( ( apply(sK17,X3) = X2
            | apply(sK18,X2) != X3 )
          & ( apply(sK18,X2) = X3
            | apply(sK17,X3) != X2 ) )
        | ~ in(X2,relation_dom(sK18)) )
    & function(sK18)
    & sK18 != function_inverse(sK17)
    & relation_dom(sK17) = relation_rng(sK18)
    & one_to_one(sK17)
    & function(sK17) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f122,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( relation(X0)
        & ? [X1] :
            ( relation_rng(X0) = relation_dom(X1)
            & relation(X1)
            & ! [X2,X3] :
                ( ~ in(X3,relation_dom(X0))
                | ( ( apply(X0,X3) = X2
                    | apply(X1,X2) != X3 )
                  & ( apply(X1,X2) = X3
                    | apply(X0,X3) != X2 ) )
                | ~ in(X2,relation_dom(X1)) )
            & function(X1)
            & function_inverse(X0) != X1
            & relation_dom(X0) = relation_rng(X1)
            & one_to_one(X0) )
        & function(X0) )
   => ( relation(sK17)
      & ? [X1] :
          ( relation_dom(X1) = relation_rng(sK17)
          & relation(X1)
          & ! [X3,X2] :
              ( ~ in(X3,relation_dom(sK17))
              | ( ( apply(sK17,X3) = X2
                  | apply(X1,X2) != X3 )
                & ( apply(X1,X2) = X3
                  | apply(sK17,X3) != X2 ) )
              | ~ in(X2,relation_dom(X1)) )
          & function(X1)
          & function_inverse(sK17) != X1
          & relation_rng(X1) = relation_dom(sK17)
          & one_to_one(sK17) )
      & function(sK17) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( relation_dom(X1) = relation_rng(sK17)
        & relation(X1)
        & ! [X3,X2] :
            ( ~ in(X3,relation_dom(sK17))
            | ( ( apply(sK17,X3) = X2
                | apply(X1,X2) != X3 )
              & ( apply(X1,X2) = X3
                | apply(sK17,X3) != X2 ) )
            | ~ in(X2,relation_dom(X1)) )
        & function(X1)
        & function_inverse(sK17) != X1
        & relation_rng(X1) = relation_dom(sK17)
        & one_to_one(sK17) )
   => ( relation_rng(sK17) = relation_dom(sK18)
      & relation(sK18)
      & ! [X3,X2] :
          ( ~ in(X3,relation_dom(sK17))
          | ( ( apply(sK17,X3) = X2
              | apply(sK18,X2) != X3 )
            & ( apply(sK18,X2) = X3
              | apply(sK17,X3) != X2 ) )
          | ~ in(X2,relation_dom(sK18)) )
      & function(sK18)
      & sK18 != function_inverse(sK17)
      & relation_dom(sK17) = relation_rng(sK18)
      & one_to_one(sK17) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ? [X0] :
      ( relation(X0)
      & ? [X1] :
          ( relation_rng(X0) = relation_dom(X1)
          & relation(X1)
          & ! [X2,X3] :
              ( ~ in(X3,relation_dom(X0))
              | ( ( apply(X0,X3) = X2
                  | apply(X1,X2) != X3 )
                & ( apply(X1,X2) = X3
                  | apply(X0,X3) != X2 ) )
              | ~ in(X2,relation_dom(X1)) )
          & function(X1)
          & function_inverse(X0) != X1
          & relation_dom(X0) = relation_rng(X1)
          & one_to_one(X0) )
      & function(X0) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ? [X0] :
      ( relation(X0)
      & ? [X1] :
          ( relation_rng(X0) = relation_dom(X1)
          & relation(X1)
          & ! [X3,X2] :
              ( ~ in(X2,relation_dom(X0))
              | ( ( apply(X0,X2) = X3
                  | apply(X1,X3) != X2 )
                & ( apply(X1,X3) = X2
                  | apply(X0,X2) != X3 ) )
              | ~ in(X3,relation_dom(X1)) )
          & function(X1)
          & function_inverse(X0) != X1
          & relation_dom(X0) = relation_rng(X1)
          & one_to_one(X0) )
      & function(X0) ),
    inference(nnf_transformation,[],[f59]) ).

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

fof(f58,plain,
    ? [X0] :
      ( ? [X1] :
          ( function_inverse(X0) != X1
          & ! [X3,X2] :
              ( ( apply(X0,X2) = X3
              <=> apply(X1,X3) = X2 )
              | ~ in(X2,relation_dom(X0))
              | ~ in(X3,relation_dom(X1)) )
          & relation_rng(X0) = relation_dom(X1)
          & relation_dom(X0) = relation_rng(X1)
          & one_to_one(X0)
          & function(X1)
          & relation(X1) )
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ! [X1] :
            ( ( function(X1)
              & relation(X1) )
           => ( ( ! [X3,X2] :
                    ( ( in(X2,relation_dom(X0))
                      & in(X3,relation_dom(X1)) )
                   => ( apply(X0,X2) = X3
                    <=> apply(X1,X3) = X2 ) )
                & relation_rng(X0) = relation_dom(X1)
                & relation_dom(X0) = relation_rng(X1)
                & one_to_one(X0) )
             => function_inverse(X0) = X1 ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( ( function(X1)
            & relation(X1) )
         => ( ( ! [X3,X2] :
                  ( ( in(X2,relation_dom(X0))
                    & in(X3,relation_dom(X1)) )
                 => ( apply(X0,X2) = X3
                  <=> apply(X1,X3) = X2 ) )
              & relation_rng(X0) = relation_dom(X1)
              & relation_dom(X0) = relation_rng(X1)
              & one_to_one(X0) )
           => function_inverse(X0) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).

fof(f1533,plain,
    ( sK18 = function_inverse(sK17)
    | relation_rng(sK17) != relation_dom(sK18)
    | ~ function(sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ one_to_one(sK17)
    | ~ relation(sK17)
    | apply(sK17,sK9(sK17,sK18)) != sK10(sK17,sK18)
    | ~ relation(sK18)
    | ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ function(sK17)
    | ~ spl19_140 ),
    inference(forward_demodulation,[],[f1524,f199]) ).

fof(f199,plain,
    relation_dom(sK17) = relation_rng(sK18),
    inference(cnf_transformation,[],[f125]) ).

fof(f1524,plain,
    ( ~ function(sK18)
    | ~ in(sK9(sK17,sK18),relation_dom(sK17))
    | ~ function(sK17)
    | ~ relation(sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | apply(sK17,sK9(sK17,sK18)) != sK10(sK17,sK18)
    | relation_rng(sK17) != relation_dom(sK18)
    | ~ one_to_one(sK17)
    | sK18 = function_inverse(sK17)
    | ~ relation(sK17)
    | ~ spl19_140 ),
    inference(trivial_inequality_removal,[],[f1519]) ).

fof(f1519,plain,
    ( ~ in(sK9(sK17,sK18),relation_dom(sK17))
    | ~ relation(sK17)
    | ~ one_to_one(sK17)
    | sK9(sK17,sK18) != sK9(sK17,sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | sK18 = function_inverse(sK17)
    | ~ function(sK17)
    | ~ function(sK18)
    | relation_rng(sK17) != relation_dom(sK18)
    | ~ relation(sK18)
    | apply(sK17,sK9(sK17,sK18)) != sK10(sK17,sK18)
    | ~ spl19_140 ),
    inference(superposition,[],[f163,f1476]) ).

fof(f1476,plain,
    ( apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18)
    | ~ spl19_140 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( sK9(X0,X1) != apply(X1,sK10(X0,X1))
      | apply(X0,sK9(X0,X1)) != sK10(X0,X1)
      | ~ relation(X0)
      | ~ function(X1)
      | ~ in(sK9(X0,X1),relation_dom(X0))
      | ~ relation(X1)
      | relation_rng(X0) != relation_dom(X1)
      | ~ function(X0)
      | function_inverse(X0) = X1
      | ~ one_to_one(X0)
      | ~ in(sK10(X0,X1),relation_rng(X0)) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1] :
          ( ( ( ( relation_rng(X0) = relation_dom(X1)
                & ! [X2,X3] :
                    ( ( ~ in(X2,relation_dom(X0))
                      | apply(X0,X2) != X3
                      | ( apply(X1,X3) = X2
                        & in(X3,relation_rng(X0)) ) )
                    & ( apply(X1,X3) != X2
                      | ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) )
                      | ~ in(X3,relation_rng(X0)) ) ) )
              | function_inverse(X0) != X1 )
            & ( function_inverse(X0) = X1
              | relation_rng(X0) != relation_dom(X1)
              | ( in(sK9(X0,X1),relation_dom(X0))
                & apply(X0,sK9(X0,X1)) = sK10(X0,X1)
                & ( sK9(X0,X1) != apply(X1,sK10(X0,X1))
                  | ~ in(sK10(X0,X1),relation_rng(X0)) ) )
              | ( sK9(X0,X1) = apply(X1,sK10(X0,X1))
                & ( apply(X0,sK9(X0,X1)) != sK10(X0,X1)
                  | ~ in(sK9(X0,X1),relation_dom(X0)) )
                & in(sK10(X0,X1),relation_rng(X0)) ) ) )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ relation(X0)
      | ~ one_to_one(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f101,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ? [X4,X5] :
          ( ( in(X4,relation_dom(X0))
            & apply(X0,X4) = X5
            & ( apply(X1,X5) != X4
              | ~ in(X5,relation_rng(X0)) ) )
          | ( apply(X1,X5) = X4
            & ( apply(X0,X4) != X5
              | ~ in(X4,relation_dom(X0)) )
            & in(X5,relation_rng(X0)) ) )
     => ( ( in(sK9(X0,X1),relation_dom(X0))
          & apply(X0,sK9(X0,X1)) = sK10(X0,X1)
          & ( sK9(X0,X1) != apply(X1,sK10(X0,X1))
            | ~ in(sK10(X0,X1),relation_rng(X0)) ) )
        | ( sK9(X0,X1) = apply(X1,sK10(X0,X1))
          & ( apply(X0,sK9(X0,X1)) != sK10(X0,X1)
            | ~ in(sK9(X0,X1),relation_dom(X0)) )
          & in(sK10(X0,X1),relation_rng(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1] :
          ( ( ( ( relation_rng(X0) = relation_dom(X1)
                & ! [X2,X3] :
                    ( ( ~ in(X2,relation_dom(X0))
                      | apply(X0,X2) != X3
                      | ( apply(X1,X3) = X2
                        & in(X3,relation_rng(X0)) ) )
                    & ( apply(X1,X3) != X2
                      | ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) )
                      | ~ in(X3,relation_rng(X0)) ) ) )
              | function_inverse(X0) != X1 )
            & ( function_inverse(X0) = X1
              | relation_rng(X0) != relation_dom(X1)
              | ? [X4,X5] :
                  ( ( in(X4,relation_dom(X0))
                    & apply(X0,X4) = X5
                    & ( apply(X1,X5) != X4
                      | ~ in(X5,relation_rng(X0)) ) )
                  | ( apply(X1,X5) = X4
                    & ( apply(X0,X4) != X5
                      | ~ in(X4,relation_dom(X0)) )
                    & in(X5,relation_rng(X0)) ) ) ) )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ relation(X0)
      | ~ one_to_one(X0) ),
    inference(rectify,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1] :
          ( ( ( ( relation_rng(X0) = relation_dom(X1)
                & ! [X2,X3] :
                    ( ( ~ in(X2,relation_dom(X0))
                      | apply(X0,X2) != X3
                      | ( apply(X1,X3) = X2
                        & in(X3,relation_rng(X0)) ) )
                    & ( apply(X1,X3) != X2
                      | ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) )
                      | ~ in(X3,relation_rng(X0)) ) ) )
              | function_inverse(X0) != X1 )
            & ( function_inverse(X0) = X1
              | relation_rng(X0) != relation_dom(X1)
              | ? [X2,X3] :
                  ( ( in(X2,relation_dom(X0))
                    & apply(X0,X2) = X3
                    & ( apply(X1,X3) != X2
                      | ~ in(X3,relation_rng(X0)) ) )
                  | ( apply(X1,X3) = X2
                    & ( apply(X0,X2) != X3
                      | ~ in(X2,relation_dom(X0)) )
                    & in(X3,relation_rng(X0)) ) ) ) )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ relation(X0)
      | ~ one_to_one(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1] :
          ( ( ( ( relation_rng(X0) = relation_dom(X1)
                & ! [X2,X3] :
                    ( ( ~ in(X2,relation_dom(X0))
                      | apply(X0,X2) != X3
                      | ( apply(X1,X3) = X2
                        & in(X3,relation_rng(X0)) ) )
                    & ( apply(X1,X3) != X2
                      | ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) )
                      | ~ in(X3,relation_rng(X0)) ) ) )
              | function_inverse(X0) != X1 )
            & ( function_inverse(X0) = X1
              | relation_rng(X0) != relation_dom(X1)
              | ? [X2,X3] :
                  ( ( in(X2,relation_dom(X0))
                    & apply(X0,X2) = X3
                    & ( apply(X1,X3) != X2
                      | ~ in(X3,relation_rng(X0)) ) )
                  | ( apply(X1,X3) = X2
                    & ( apply(X0,X2) != X3
                      | ~ in(X2,relation_dom(X0)) )
                    & in(X3,relation_rng(X0)) ) ) ) )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ relation(X0)
      | ~ one_to_one(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1] :
          ( ( ( relation_rng(X0) = relation_dom(X1)
              & ! [X2,X3] :
                  ( ( ~ in(X2,relation_dom(X0))
                    | apply(X0,X2) != X3
                    | ( apply(X1,X3) = X2
                      & in(X3,relation_rng(X0)) ) )
                  & ( apply(X1,X3) != X2
                    | ( apply(X0,X2) = X3
                      & in(X2,relation_dom(X0)) )
                    | ~ in(X3,relation_rng(X0)) ) ) )
          <=> function_inverse(X0) = X1 )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ relation(X0)
      | ~ one_to_one(X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( function_inverse(X0) = X1
          <=> ( ! [X3,X2] :
                  ( ( ( apply(X0,X2) = X3
                      & in(X2,relation_dom(X0)) )
                    | ~ in(X3,relation_rng(X0))
                    | apply(X1,X3) != X2 )
                  & ( ( apply(X1,X3) = X2
                      & in(X3,relation_rng(X0)) )
                    | apply(X0,X2) != X3
                    | ~ in(X2,relation_dom(X0)) ) )
              & relation_rng(X0) = relation_dom(X1) ) )
          | ~ relation(X1)
          | ~ function(X1) )
      | ~ one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
       => ! [X1] :
            ( ( relation(X1)
              & function(X1) )
           => ( function_inverse(X0) = X1
            <=> ( ! [X3,X2] :
                    ( ( ( in(X3,relation_rng(X0))
                        & apply(X1,X3) = X2 )
                     => ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) ) )
                    & ( ( apply(X0,X2) = X3
                        & in(X2,relation_dom(X0)) )
                     => ( apply(X1,X3) = X2
                        & in(X3,relation_rng(X0)) ) ) )
                & relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
       => ! [X1] :
            ( ( relation(X1)
              & function(X1) )
           => ( ( ! [X3,X2] :
                    ( ( ( apply(X1,X2) = X3
                        & in(X2,relation_rng(X0)) )
                     => ( in(X3,relation_dom(X0))
                        & apply(X0,X3) = X2 ) )
                    & ( ( in(X3,relation_dom(X0))
                        & apply(X0,X3) = X2 )
                     => ( in(X2,relation_rng(X0))
                        & apply(X1,X2) = X3 ) ) )
                & relation_rng(X0) = relation_dom(X1) )
            <=> function_inverse(X0) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).

fof(f1546,plain,
    ( ~ spl19_128
    | spl19_135
    | ~ spl19_130
    | ~ spl19_140 ),
    inference(avatar_split_clause,[],[f1518,f1474,f1275,f1323,f1267]) ).

fof(f1518,plain,
    ( ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | apply(sK17,sK9(sK17,sK18)) = sK10(sK17,sK18)
    | ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ spl19_140 ),
    inference(superposition,[],[f223,f1476]) ).

fof(f223,plain,
    ! [X2] :
      ( apply(sK17,apply(sK18,X2)) = X2
      | ~ in(apply(sK18,X2),relation_rng(sK18))
      | ~ in(X2,relation_rng(sK17)) ),
    inference(forward_demodulation,[],[f222,f205]) ).

fof(f222,plain,
    ! [X2] :
      ( ~ in(apply(sK18,X2),relation_rng(sK18))
      | ~ in(X2,relation_dom(sK18))
      | apply(sK17,apply(sK18,X2)) = X2 ),
    inference(forward_demodulation,[],[f220,f199]) ).

fof(f220,plain,
    ! [X2] :
      ( ~ in(apply(sK18,X2),relation_dom(sK17))
      | ~ in(X2,relation_dom(sK18))
      | apply(sK17,apply(sK18,X2)) = X2 ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X2,X3] :
      ( ~ in(X3,relation_dom(sK17))
      | apply(sK17,X3) = X2
      | apply(sK18,X2) != X3
      | ~ in(X2,relation_dom(sK18)) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f1526,plain,
    ( ~ spl19_130
    | ~ spl19_35
    | ~ spl19_8
    | spl19_128
    | ~ spl19_140 ),
    inference(avatar_split_clause,[],[f1525,f1474,f1267,f310,f485,f1275]) ).

fof(f1525,plain,
    ( in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ relation(sK18)
    | ~ function(sK18)
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ spl19_140 ),
    inference(forward_demodulation,[],[f1523,f205]) ).

fof(f1523,plain,
    ( in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ function(sK18)
    | ~ relation(sK18)
    | ~ in(sK10(sK17,sK18),relation_dom(sK18))
    | ~ spl19_140 ),
    inference(superposition,[],[f208,f1476]) ).

fof(f208,plain,
    ! [X0,X6] :
      ( in(apply(X0,X6),relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0)
      | ~ in(X6,relation_dom(X0)) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X6] :
      ( in(apply(X0,X6),X1)
      | ~ in(X6,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | apply(X0,X6) != X5
      | ~ in(X6,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] :
                    ( apply(X0,X3) != sK5(X0,X1)
                    | ~ in(X3,relation_dom(X0)) )
                | ~ in(sK5(X0,X1),X1) )
              & ( ( sK5(X0,X1) = apply(X0,sK6(X0,X1))
                  & in(sK6(X0,X1),relation_dom(X0)) )
                | in(sK5(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ( apply(X0,sK7(X0,X5)) = X5
                    & in(sK7(X0,X5),relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f91,f94,f93,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( apply(X0,X3) != X2
                | ~ in(X3,relation_dom(X0)) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( apply(X0,X4) = X2
                & in(X4,relation_dom(X0)) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( apply(X0,X3) != sK5(X0,X1)
              | ~ in(X3,relation_dom(X0)) )
          | ~ in(sK5(X0,X1),X1) )
        & ( ? [X4] :
              ( sK5(X0,X1) = apply(X0,X4)
              & in(X4,relation_dom(X0)) )
          | in(sK5(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sK5(X0,X1) = apply(X0,X4)
          & in(X4,relation_dom(X0)) )
     => ( sK5(X0,X1) = apply(X0,sK6(X0,X1))
        & in(sK6(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( apply(X0,X7) = X5
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK7(X0,X5)) = X5
        & in(sK7(X0,X5),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X2
                      & in(X4,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f1511,plain,
    ( spl19_140
    | ~ spl19_130
    | ~ spl19_128
    | ~ spl19_135 ),
    inference(avatar_split_clause,[],[f1491,f1323,f1267,f1275,f1474]) ).

fof(f1491,plain,
    ( ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ in(sK10(sK17,sK18),relation_rng(sK17))
    | apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18)
    | ~ spl19_135 ),
    inference(superposition,[],[f225,f1325]) ).

fof(f1325,plain,
    ( apply(sK17,sK9(sK17,sK18)) = sK10(sK17,sK18)
    | ~ spl19_135 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f225,plain,
    ! [X3] :
      ( apply(sK18,apply(sK17,X3)) = X3
      | ~ in(apply(sK17,X3),relation_rng(sK17))
      | ~ in(X3,relation_rng(sK18)) ),
    inference(forward_demodulation,[],[f224,f199]) ).

fof(f224,plain,
    ! [X3] :
      ( ~ in(X3,relation_dom(sK17))
      | ~ in(apply(sK17,X3),relation_rng(sK17))
      | apply(sK18,apply(sK17,X3)) = X3 ),
    inference(forward_demodulation,[],[f221,f205]) ).

fof(f221,plain,
    ! [X3] :
      ( ~ in(apply(sK17,X3),relation_dom(sK18))
      | ~ in(X3,relation_dom(sK17))
      | apply(sK18,apply(sK17,X3)) = X3 ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X2,X3] :
      ( ~ in(X3,relation_dom(sK17))
      | apply(sK18,X2) = X3
      | apply(sK17,X3) != X2
      | ~ in(X2,relation_dom(sK18)) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f1510,plain,
    ( ~ spl19_128
    | ~ spl19_19
    | ~ spl19_7
    | spl19_130
    | ~ spl19_135 ),
    inference(avatar_split_clause,[],[f1509,f1323,f1275,f305,f406,f1267]) ).

fof(f1509,plain,
    ( in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ relation(sK17)
    | ~ function(sK17)
    | ~ in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ spl19_135 ),
    inference(forward_demodulation,[],[f1495,f199]) ).

fof(f1495,plain,
    ( ~ in(sK9(sK17,sK18),relation_dom(sK17))
    | ~ relation(sK17)
    | ~ function(sK17)
    | in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ spl19_135 ),
    inference(superposition,[],[f208,f1325]) ).

fof(f1488,plain,
    ( spl19_135
    | ~ spl19_7
    | ~ spl19_19
    | spl19_129
    | spl19_140
    | ~ spl19_18
    | ~ spl19_69 ),
    inference(avatar_split_clause,[],[f1487,f804,f402,f1474,f1271,f406,f305,f1323]) ).

fof(f804,plain,
    ( spl19_69
  <=> ! [X1] :
        ( sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
        | relation_rng(X1) != relation_rng(sK17)
        | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
        | ~ relation(X1)
        | ~ function(X1)
        | ~ one_to_one(X1)
        | function_inverse(X1) = sK18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_69])]) ).

fof(f1487,plain,
    ( ~ one_to_one(sK17)
    | apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18)
    | sK18 = function_inverse(sK17)
    | ~ function(sK17)
    | ~ relation(sK17)
    | apply(sK17,sK9(sK17,sK18)) = sK10(sK17,sK18)
    | ~ spl19_69 ),
    inference(equality_resolution,[],[f805]) ).

fof(f805,plain,
    ( ! [X1] :
        ( relation_rng(X1) != relation_rng(sK17)
        | ~ relation(X1)
        | sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
        | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
        | function_inverse(X1) = sK18
        | ~ function(X1)
        | ~ one_to_one(X1) )
    | ~ spl19_69 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f1477,plain,
    ( spl19_128
    | spl19_129
    | spl19_140
    | ~ spl19_19
    | ~ spl19_7
    | ~ spl19_18
    | ~ spl19_67 ),
    inference(avatar_split_clause,[],[f1472,f792,f402,f305,f406,f1474,f1271,f1267]) ).

fof(f792,plain,
    ( spl19_67
  <=> ! [X1] :
        ( function_inverse(X1) = sK18
        | ~ function(X1)
        | relation_rng(X1) != relation_rng(sK17)
        | in(sK9(X1,sK18),relation_dom(X1))
        | sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
        | ~ one_to_one(X1)
        | ~ relation(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_67])]) ).

fof(f1472,plain,
    ( ~ one_to_one(sK17)
    | ~ relation(sK17)
    | ~ function(sK17)
    | apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18)
    | sK18 = function_inverse(sK17)
    | in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ spl19_67 ),
    inference(forward_demodulation,[],[f1471,f199]) ).

fof(f1471,plain,
    ( apply(sK18,sK10(sK17,sK18)) = sK9(sK17,sK18)
    | ~ function(sK17)
    | ~ one_to_one(sK17)
    | ~ relation(sK17)
    | in(sK9(sK17,sK18),relation_dom(sK17))
    | sK18 = function_inverse(sK17)
    | ~ spl19_67 ),
    inference(equality_resolution,[],[f793]) ).

fof(f793,plain,
    ( ! [X1] :
        ( relation_rng(X1) != relation_rng(sK17)
        | in(sK9(X1,sK18),relation_dom(X1))
        | ~ one_to_one(X1)
        | sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
        | ~ relation(X1)
        | ~ function(X1)
        | function_inverse(X1) = sK18 )
    | ~ spl19_67 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1343,plain,
    ~ spl19_129,
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1342,plain,
    ( $false
    | ~ spl19_129 ),
    inference(trivial_inequality_removal,[],[f1335]) ).

fof(f1335,plain,
    ( sK18 != sK18
    | ~ spl19_129 ),
    inference(superposition,[],[f200,f1273]) ).

fof(f1273,plain,
    ( sK18 = function_inverse(sK17)
    | ~ spl19_129 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f200,plain,
    sK18 != function_inverse(sK17),
    inference(cnf_transformation,[],[f125]) ).

fof(f1326,plain,
    ( spl19_129
    | ~ spl19_7
    | spl19_130
    | ~ spl19_18
    | ~ spl19_19
    | spl19_135
    | ~ spl19_65 ),
    inference(avatar_split_clause,[],[f1321,f780,f1323,f406,f402,f1275,f305,f1271]) ).

fof(f780,plain,
    ( spl19_65
  <=> ! [X1] :
        ( in(sK10(X1,sK18),relation_rng(X1))
        | relation_rng(X1) != relation_rng(sK17)
        | ~ relation(X1)
        | function_inverse(X1) = sK18
        | ~ one_to_one(X1)
        | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
        | ~ function(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_65])]) ).

fof(f1321,plain,
    ( apply(sK17,sK9(sK17,sK18)) = sK10(sK17,sK18)
    | ~ function(sK17)
    | ~ one_to_one(sK17)
    | in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ relation(sK17)
    | sK18 = function_inverse(sK17)
    | ~ spl19_65 ),
    inference(equality_resolution,[],[f781]) ).

fof(f781,plain,
    ( ! [X1] :
        ( relation_rng(X1) != relation_rng(sK17)
        | in(sK10(X1,sK18),relation_rng(X1))
        | function_inverse(X1) = sK18
        | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
        | ~ one_to_one(X1)
        | ~ relation(X1)
        | ~ function(X1) )
    | ~ spl19_65 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1278,plain,
    ( ~ spl19_7
    | ~ spl19_19
    | spl19_128
    | spl19_129
    | spl19_130
    | ~ spl19_18
    | ~ spl19_62 ),
    inference(avatar_split_clause,[],[f1265,f760,f402,f1275,f1271,f1267,f406,f305]) ).

fof(f760,plain,
    ( spl19_62
  <=> ! [X1] :
        ( in(sK10(X1,sK18),relation_rng(X1))
        | function_inverse(X1) = sK18
        | relation_rng(X1) != relation_rng(sK17)
        | ~ function(X1)
        | ~ relation(X1)
        | in(sK9(X1,sK18),relation_dom(X1))
        | ~ one_to_one(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_62])]) ).

fof(f1265,plain,
    ( ~ one_to_one(sK17)
    | in(sK10(sK17,sK18),relation_rng(sK17))
    | sK18 = function_inverse(sK17)
    | in(sK9(sK17,sK18),relation_rng(sK18))
    | ~ function(sK17)
    | ~ relation(sK17)
    | ~ spl19_62 ),
    inference(forward_demodulation,[],[f1264,f199]) ).

fof(f1264,plain,
    ( ~ one_to_one(sK17)
    | in(sK10(sK17,sK18),relation_rng(sK17))
    | ~ relation(sK17)
    | sK18 = function_inverse(sK17)
    | in(sK9(sK17,sK18),relation_dom(sK17))
    | ~ function(sK17)
    | ~ spl19_62 ),
    inference(equality_resolution,[],[f761]) ).

fof(f761,plain,
    ( ! [X1] :
        ( relation_rng(X1) != relation_rng(sK17)
        | ~ function(X1)
        | ~ relation(X1)
        | function_inverse(X1) = sK18
        | in(sK10(X1,sK18),relation_rng(X1))
        | ~ one_to_one(X1)
        | in(sK9(X1,sK18),relation_dom(X1)) )
    | ~ spl19_62 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f806,plain,
    ( ~ spl19_8
    | ~ spl19_35
    | spl19_69 ),
    inference(avatar_split_clause,[],[f800,f804,f485,f310]) ).

fof(f800,plain,
    ! [X1] :
      ( sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
      | ~ function(sK18)
      | function_inverse(X1) = sK18
      | ~ one_to_one(X1)
      | ~ function(X1)
      | ~ relation(sK18)
      | ~ relation(X1)
      | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
      | relation_rng(X1) != relation_rng(sK17) ),
    inference(superposition,[],[f167,f205]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( relation_rng(X0) != relation_dom(X1)
      | sK9(X0,X1) = apply(X1,sK10(X0,X1))
      | ~ relation(X1)
      | ~ function(X0)
      | apply(X0,sK9(X0,X1)) = sK10(X0,X1)
      | ~ function(X1)
      | ~ relation(X0)
      | function_inverse(X0) = X1
      | ~ one_to_one(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f794,plain,
    ( ~ spl19_35
    | ~ spl19_8
    | spl19_67 ),
    inference(avatar_split_clause,[],[f788,f792,f310,f485]) ).

fof(f788,plain,
    ! [X1] :
      ( function_inverse(X1) = sK18
      | ~ relation(X1)
      | ~ one_to_one(X1)
      | sK9(X1,sK18) = apply(sK18,sK10(X1,sK18))
      | ~ relation(sK18)
      | in(sK9(X1,sK18),relation_dom(X1))
      | relation_rng(X1) != relation_rng(sK17)
      | ~ function(X1)
      | ~ function(sK18) ),
    inference(superposition,[],[f170,f205]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( relation_rng(X0) != relation_dom(X1)
      | ~ function(X1)
      | function_inverse(X0) = X1
      | sK9(X0,X1) = apply(X1,sK10(X0,X1))
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | in(sK9(X0,X1),relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f782,plain,
    ( ~ spl19_8
    | ~ spl19_35
    | spl19_65 ),
    inference(avatar_split_clause,[],[f776,f780,f485,f310]) ).

fof(f776,plain,
    ! [X1] :
      ( in(sK10(X1,sK18),relation_rng(X1))
      | ~ function(X1)
      | ~ function(sK18)
      | sK10(X1,sK18) = apply(X1,sK9(X1,sK18))
      | ~ relation(sK18)
      | ~ one_to_one(X1)
      | function_inverse(X1) = sK18
      | ~ relation(X1)
      | relation_rng(X1) != relation_rng(sK17) ),
    inference(superposition,[],[f165,f205]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( relation_rng(X0) != relation_dom(X1)
      | in(sK10(X0,X1),relation_rng(X0))
      | ~ relation(X1)
      | ~ function(X0)
      | ~ one_to_one(X0)
      | ~ function(X1)
      | apply(X0,sK9(X0,X1)) = sK10(X0,X1)
      | ~ relation(X0)
      | function_inverse(X0) = X1 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f762,plain,
    ( ~ spl19_35
    | ~ spl19_8
    | spl19_62 ),
    inference(avatar_split_clause,[],[f752,f760,f310,f485]) ).

fof(f752,plain,
    ! [X1] :
      ( in(sK10(X1,sK18),relation_rng(X1))
      | ~ one_to_one(X1)
      | in(sK9(X1,sK18),relation_dom(X1))
      | ~ relation(sK18)
      | ~ relation(X1)
      | ~ function(X1)
      | relation_rng(X1) != relation_rng(sK17)
      | ~ function(sK18)
      | function_inverse(X1) = sK18 ),
    inference(superposition,[],[f168,f205]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( relation_rng(X0) != relation_dom(X1)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ one_to_one(X0)
      | in(sK10(X0,X1),relation_rng(X0))
      | in(sK9(X0,X1),relation_dom(X0))
      | ~ function(X0)
      | ~ function(X1)
      | function_inverse(X0) = X1 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f692,plain,
    spl19_18,
    inference(avatar_contradiction_clause,[],[f691]) ).

fof(f691,plain,
    ( $false
    | spl19_18 ),
    inference(resolution,[],[f403,f198]) ).

fof(f198,plain,
    one_to_one(sK17),
    inference(cnf_transformation,[],[f125]) ).

fof(f403,plain,
    ( ~ one_to_one(sK17)
    | spl19_18 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f614,plain,
    spl19_8,
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f613,plain,
    ( $false
    | spl19_8 ),
    inference(resolution,[],[f312,f204]) ).

fof(f204,plain,
    relation(sK18),
    inference(cnf_transformation,[],[f125]) ).

fof(f312,plain,
    ( ~ relation(sK18)
    | spl19_8 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f612,plain,
    spl19_35,
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f611,plain,
    ( $false
    | spl19_35 ),
    inference(resolution,[],[f487,f201]) ).

fof(f201,plain,
    function(sK18),
    inference(cnf_transformation,[],[f125]) ).

fof(f487,plain,
    ( ~ function(sK18)
    | spl19_35 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f563,plain,
    spl19_19,
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f562,plain,
    ( $false
    | spl19_19 ),
    inference(resolution,[],[f408,f197]) ).

fof(f197,plain,
    function(sK17),
    inference(cnf_transformation,[],[f125]) ).

fof(f408,plain,
    ( ~ function(sK17)
    | spl19_19 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f545,plain,
    spl19_7,
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | spl19_7 ),
    inference(resolution,[],[f307,f206]) ).

fof(f206,plain,
    relation(sK17),
    inference(cnf_transformation,[],[f125]) ).

fof(f307,plain,
    ( ~ relation(sK17)
    | spl19_7 ),
    inference(avatar_component_clause,[],[f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:37:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (5402)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50  % (5410)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (5406)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (5415)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51  % (5415)Instruction limit reached!
% 0.20/0.51  % (5415)------------------------------
% 0.20/0.51  % (5415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5427)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (5407)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (5406)Instruction limit reached!
% 0.20/0.52  % (5406)------------------------------
% 0.20/0.52  % (5406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5423)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52  % (5413)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (5415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5415)Termination reason: Unknown
% 0.20/0.52  % (5415)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (5415)Memory used [KB]: 1663
% 0.20/0.52  % (5415)Time elapsed: 0.099 s
% 0.20/0.52  % (5415)Instructions burned: 16 (million)
% 0.20/0.52  % (5415)------------------------------
% 0.20/0.52  % (5415)------------------------------
% 0.20/0.52  % (5406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5406)Termination reason: Unknown
% 0.20/0.52  % (5406)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (5406)Memory used [KB]: 6140
% 0.20/0.52  % (5406)Time elapsed: 0.109 s
% 0.20/0.52  % (5406)Instructions burned: 14 (million)
% 0.20/0.52  % (5406)------------------------------
% 0.20/0.52  % (5406)------------------------------
% 0.20/0.53  % (5418)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (5417)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (5408)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (5411)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (5405)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (5404)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (5403)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (5426)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53  % (5404)Instruction limit reached!
% 0.20/0.53  % (5404)------------------------------
% 0.20/0.53  % (5404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (5404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (5404)Termination reason: Unknown
% 0.20/0.53  % (5404)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (5404)Memory used [KB]: 1535
% 0.20/0.53  % (5404)Time elapsed: 0.003 s
% 0.20/0.53  % (5404)Instructions burned: 4 (million)
% 0.20/0.53  % (5404)------------------------------
% 0.20/0.53  % (5404)------------------------------
% 0.20/0.54  % (5403)Instruction limit reached!
% 0.20/0.54  % (5403)------------------------------
% 0.20/0.54  % (5403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5420)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (5412)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (5429)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (5421)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (5432)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (5421)Instruction limit reached!
% 0.20/0.54  % (5421)------------------------------
% 0.20/0.54  % (5421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5421)Termination reason: Unknown
% 0.20/0.54  % (5421)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (5421)Memory used [KB]: 1407
% 0.20/0.54  % (5421)Time elapsed: 0.002 s
% 0.20/0.54  % (5421)Instructions burned: 2 (million)
% 0.20/0.54  % (5421)------------------------------
% 0.20/0.54  % (5421)------------------------------
% 0.20/0.54  % (5424)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (5420)Instruction limit reached!
% 0.20/0.54  % (5420)------------------------------
% 0.20/0.54  % (5420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5420)Termination reason: Unknown
% 0.20/0.54  % (5420)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (5420)Memory used [KB]: 1535
% 0.20/0.54  % (5420)Time elapsed: 0.005 s
% 0.20/0.54  % (5420)Instructions burned: 3 (million)
% 0.20/0.54  % (5420)------------------------------
% 0.20/0.54  % (5420)------------------------------
% 0.20/0.54  % (5428)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54  % (5413)Instruction limit reached!
% 0.20/0.54  % (5413)------------------------------
% 0.20/0.54  % (5413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5413)Termination reason: Unknown
% 0.20/0.54  % (5413)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (5413)Memory used [KB]: 6140
% 0.20/0.54  % (5413)Time elapsed: 0.108 s
% 0.20/0.54  % (5413)Instructions burned: 8 (million)
% 0.20/0.54  % (5413)------------------------------
% 0.20/0.54  % (5413)------------------------------
% 0.20/0.54  % (5422)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55  % (5412)Refutation not found, incomplete strategy% (5412)------------------------------
% 0.20/0.55  % (5412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5425)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.55  % (5409)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55  % (5416)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (5419)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (5403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5403)Termination reason: Unknown
% 0.20/0.55  % (5403)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (5403)Memory used [KB]: 6268
% 0.20/0.55  % (5403)Time elapsed: 0.129 s
% 0.20/0.55  % (5403)Instructions burned: 13 (million)
% 0.20/0.55  % (5403)------------------------------
% 0.20/0.55  % (5403)------------------------------
% 0.20/0.55  % (5423)Instruction limit reached!
% 0.20/0.55  % (5423)------------------------------
% 0.20/0.55  % (5423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5423)Termination reason: Unknown
% 0.20/0.55  % (5423)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (5423)Memory used [KB]: 6396
% 0.20/0.55  % (5423)Time elapsed: 0.144 s
% 0.20/0.55  % (5423)Instructions burned: 30 (million)
% 0.20/0.55  % (5423)------------------------------
% 0.20/0.55  % (5423)------------------------------
% 0.20/0.55  % (5422)Refutation not found, incomplete strategy% (5422)------------------------------
% 0.20/0.55  % (5422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5422)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (5422)Memory used [KB]: 6140
% 0.20/0.55  % (5422)Time elapsed: 0.147 s
% 0.20/0.55  % (5422)Instructions burned: 5 (million)
% 0.20/0.55  % (5422)------------------------------
% 0.20/0.55  % (5422)------------------------------
% 0.20/0.55  % (5430)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.55/0.55  % (5418)Instruction limit reached!
% 1.55/0.55  % (5418)------------------------------
% 1.55/0.55  % (5418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (5418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5418)Termination reason: Unknown
% 1.55/0.56  % (5418)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (5418)Memory used [KB]: 6140
% 1.55/0.56  % (5418)Time elapsed: 0.106 s
% 1.55/0.56  % (5418)Instructions burned: 7 (million)
% 1.55/0.56  % (5418)------------------------------
% 1.55/0.56  % (5418)------------------------------
% 1.55/0.56  % (5417)Instruction limit reached!
% 1.55/0.56  % (5417)------------------------------
% 1.55/0.56  % (5417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (5417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5417)Termination reason: Unknown
% 1.55/0.56  % (5417)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (5417)Memory used [KB]: 6012
% 1.55/0.56  % (5417)Time elapsed: 0.004 s
% 1.55/0.56  % (5417)Instructions burned: 4 (million)
% 1.55/0.56  % (5417)------------------------------
% 1.55/0.56  % (5417)------------------------------
% 1.55/0.56  % (5431)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.56  % (5412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5412)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56  
% 1.55/0.56  % (5412)Memory used [KB]: 6140
% 1.55/0.56  % (5412)Time elapsed: 0.141 s
% 1.55/0.56  % (5412)Instructions burned: 8 (million)
% 1.55/0.56  % (5412)------------------------------
% 1.55/0.56  % (5412)------------------------------
% 1.55/0.57  % (5431)Instruction limit reached!
% 1.55/0.57  % (5431)------------------------------
% 1.55/0.57  % (5431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57  % (5407)Instruction limit reached!
% 1.55/0.57  % (5407)------------------------------
% 1.55/0.57  % (5407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57  % (5407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57  % (5407)Termination reason: Unknown
% 1.55/0.57  % (5407)Termination phase: Saturation
% 1.55/0.57  
% 1.55/0.57  % (5407)Memory used [KB]: 1663
% 1.55/0.57  % (5407)Time elapsed: 0.130 s
% 1.55/0.57  % (5407)Instructions burned: 15 (million)
% 1.55/0.57  % (5407)------------------------------
% 1.55/0.57  % (5407)------------------------------
% 1.73/0.58  % (5431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (5431)Termination reason: Unknown
% 1.73/0.58  % (5431)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (5431)Memory used [KB]: 6140
% 1.73/0.58  % (5431)Time elapsed: 0.135 s
% 1.73/0.58  % (5431)Instructions burned: 9 (million)
% 1.73/0.58  % (5431)------------------------------
% 1.73/0.58  % (5431)------------------------------
% 1.73/0.59  % (5430)Instruction limit reached!
% 1.73/0.59  % (5430)------------------------------
% 1.73/0.59  % (5430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5432)Instruction limit reached!
% 1.73/0.60  % (5432)------------------------------
% 1.73/0.60  % (5432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5408)Instruction limit reached!
% 1.73/0.60  % (5408)------------------------------
% 1.73/0.60  % (5408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5408)Termination reason: Unknown
% 1.73/0.60  % (5408)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5408)Memory used [KB]: 6396
% 1.73/0.60  % (5408)Time elapsed: 0.162 s
% 1.73/0.60  % (5408)Instructions burned: 39 (million)
% 1.73/0.60  % (5408)------------------------------
% 1.73/0.60  % (5408)------------------------------
% 1.73/0.60  % (5432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5432)Termination reason: Unknown
% 1.73/0.60  % (5432)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5432)Memory used [KB]: 6268
% 1.73/0.60  % (5432)Time elapsed: 0.189 s
% 1.73/0.60  % (5432)Instructions burned: 24 (million)
% 1.73/0.60  % (5432)------------------------------
% 1.73/0.60  % (5432)------------------------------
% 1.73/0.60  % (5427)Instruction limit reached!
% 1.73/0.60  % (5427)------------------------------
% 1.73/0.60  % (5427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5427)Termination reason: Unknown
% 1.73/0.60  % (5427)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5427)Memory used [KB]: 6524
% 1.73/0.60  % (5427)Time elapsed: 0.196 s
% 1.73/0.60  % (5427)Instructions burned: 51 (million)
% 1.73/0.60  % (5427)------------------------------
% 1.73/0.60  % (5427)------------------------------
% 1.73/0.60  % (5409)Instruction limit reached!
% 1.73/0.60  % (5409)------------------------------
% 1.73/0.60  % (5409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5409)Termination reason: Unknown
% 1.73/0.60  % (5409)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5409)Memory used [KB]: 6780
% 1.73/0.60  % (5409)Time elapsed: 0.155 s
% 1.73/0.60  % (5409)Instructions burned: 40 (million)
% 1.73/0.60  % (5409)------------------------------
% 1.73/0.60  % (5409)------------------------------
% 1.73/0.60  % (5430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5430)Termination reason: Unknown
% 1.73/0.60  % (5430)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5430)Memory used [KB]: 6524
% 1.73/0.60  % (5430)Time elapsed: 0.166 s
% 1.73/0.60  % (5430)Instructions burned: 25 (million)
% 1.73/0.60  % (5430)------------------------------
% 1.73/0.60  % (5430)------------------------------
% 1.73/0.60  % (5411)Instruction limit reached!
% 1.73/0.60  % (5411)------------------------------
% 1.73/0.60  % (5411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (5411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (5411)Termination reason: Unknown
% 1.73/0.60  % (5411)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (5411)Memory used [KB]: 6780
% 1.73/0.60  % (5411)Time elapsed: 0.178 s
% 1.73/0.60  % (5411)Instructions burned: 33 (million)
% 1.73/0.60  % (5411)------------------------------
% 1.73/0.60  % (5411)------------------------------
% 1.73/0.60  % (5410)Instruction limit reached!
% 1.73/0.60  % (5410)------------------------------
% 1.73/0.60  % (5410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (5425)First to succeed.
% 1.73/0.61  % (5426)Instruction limit reached!
% 1.73/0.61  % (5426)------------------------------
% 1.73/0.61  % (5426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (5426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61  % (5426)Termination reason: Unknown
% 1.73/0.61  % (5426)Termination phase: Saturation
% 1.73/0.61  
% 1.73/0.61  % (5426)Memory used [KB]: 2046
% 1.73/0.61  % (5426)Time elapsed: 0.164 s
% 1.73/0.61  % (5426)Instructions burned: 45 (million)
% 1.73/0.61  % (5426)------------------------------
% 1.73/0.61  % (5426)------------------------------
% 1.73/0.62  % (5410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62  % (5410)Termination reason: Unknown
% 1.73/0.62  % (5410)Termination phase: Saturation
% 1.73/0.62  
% 1.73/0.62  % (5410)Memory used [KB]: 6780
% 1.73/0.62  % (5410)Time elapsed: 0.183 s
% 1.73/0.62  % (5410)Instructions burned: 50 (million)
% 1.73/0.62  % (5410)------------------------------
% 1.73/0.62  % (5410)------------------------------
% 1.73/0.62  % (5425)Refutation found. Thanks to Tanya!
% 1.73/0.62  % SZS status Theorem for theBenchmark
% 1.73/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.63  % (5425)------------------------------
% 1.73/0.63  % (5425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63  % (5425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63  % (5425)Termination reason: Refutation
% 1.73/0.63  
% 1.73/0.63  % (5425)Memory used [KB]: 6908
% 1.73/0.63  % (5425)Time elapsed: 0.203 s
% 1.73/0.63  % (5425)Instructions burned: 35 (million)
% 1.73/0.63  % (5425)------------------------------
% 1.73/0.63  % (5425)------------------------------
% 1.73/0.63  % (5398)Success in time 0.257 s
%------------------------------------------------------------------------------