TSTP Solution File: SEU425+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU425+2 : TPTP v8.1.0. Released v3.4.0.
% 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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:30:14 EDT 2022

% Result   : Theorem 1.87s 0.75s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   62 (  14 unt;   0 def)
%            Number of atoms       :  224 (  39 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  262 ( 100   ~;  92   |;  47   &)
%                                         (   6 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  112 ( 102   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5064,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4983,f5055,f5061,f5063]) ).

fof(f5063,plain,
    spl27_2,
    inference(avatar_contradiction_clause,[],[f5062]) ).

fof(f5062,plain,
    ( $false
    | spl27_2 ),
    inference(subsumption_resolution,[],[f4978,f4992]) ).

fof(f4992,plain,
    ! [X0] : v1_funct_1(k5_relset_2(X0,sK7)),
    inference(unit_resulting_resolution,[],[f4984,f4855]) ).

fof(f4855,plain,
    ! [X0,X1] :
      ( v1_funct_1(k5_relset_2(X0,X1))
      | ~ v1_relat_1(X1) ),
    inference(cnf_transformation,[],[f4600]) ).

fof(f4600,plain,
    ! [X0,X1] :
      ( ~ v1_relat_1(X1)
      | ( v1_funct_1(k5_relset_2(X0,X1))
        & v1_relat_1(k5_relset_2(X0,X1)) ) ),
    inference(ennf_transformation,[],[f4461]) ).

fof(f4461,axiom,
    ! [X1,X0] :
      ( v1_relat_1(X1)
     => ( v1_funct_1(k5_relset_2(X0,X1))
        & v1_relat_1(k5_relset_2(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_2) ).

fof(f4984,plain,
    v1_relat_1(sK7),
    inference(unit_resulting_resolution,[],[f4819,f4915]) ).

fof(f4915,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
      | v1_relat_1(X1) ),
    inference(cnf_transformation,[],[f4766]) ).

fof(f4766,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
      | v1_relat_1(X1) ),
    inference(rectify,[],[f4641]) ).

fof(f4641,plain,
    ! [X1,X2,X0] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
      | v1_relat_1(X2) ),
    inference(ennf_transformation,[],[f1120]) ).

fof(f1120,axiom,
    ! [X0,X2,X1] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
     => v1_relat_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f4819,plain,
    m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK6,sK8))),
    inference(cnf_transformation,[],[f4695]) ).

fof(f4695,plain,
    ( ( ~ m2_relset_1(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7)))
      | ~ v1_funct_1(k5_relset_2(sK6,sK7))
      | ~ v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))) )
    & m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK6,sK8))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f4634,f4694]) ).

fof(f4694,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ m2_relset_1(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1)))
          | ~ v1_funct_1(k5_relset_2(X0,X1))
          | ~ v1_funct_2(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1))) )
        & m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2))) )
   => ( ( ~ m2_relset_1(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7)))
        | ~ v1_funct_1(k5_relset_2(sK6,sK7))
        | ~ v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))) )
      & m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK6,sK8))) ) ),
    introduced(choice_axiom,[]) ).

fof(f4634,plain,
    ? [X0,X1,X2] :
      ( ( ~ m2_relset_1(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1)))
        | ~ v1_funct_1(k5_relset_2(X0,X1))
        | ~ v1_funct_2(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1))) )
      & m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2))) ),
    inference(ennf_transformation,[],[f4494]) ).

fof(f4494,plain,
    ~ ! [X1,X0,X2] :
        ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
       => ( m2_relset_1(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1)))
          & v1_funct_1(k5_relset_2(X0,X1))
          & v1_funct_2(k5_relset_2(X0,X1),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X1))) ) ),
    inference(rectify,[],[f4493]) ).

fof(f4493,negated_conjecture,
    ~ ! [X0,X2,X1] :
        ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
       => ( v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
          & m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
          & v1_funct_1(k5_relset_2(X0,X2)) ) ),
    inference(negated_conjecture,[],[f4492]) ).

fof(f4492,conjecture,
    ! [X0,X2,X1] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
     => ( v1_funct_2(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
        & m2_relset_1(k5_relset_2(X0,X2),k1_zfmisc_1(X0),k1_zfmisc_1(k2_relat_1(X2)))
        & v1_funct_1(k5_relset_2(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relset_2) ).

fof(f4978,plain,
    ( ~ v1_funct_1(k5_relset_2(sK6,sK7))
    | spl27_2 ),
    inference(avatar_component_clause,[],[f4976]) ).

fof(f4976,plain,
    ( spl27_2
  <=> v1_funct_1(k5_relset_2(sK6,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

fof(f5061,plain,
    spl27_1,
    inference(avatar_contradiction_clause,[],[f5060]) ).

fof(f5060,plain,
    ( $false
    | spl27_1 ),
    inference(subsumption_resolution,[],[f5059,f4974]) ).

fof(f4974,plain,
    ( ~ v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7)))
    | spl27_1 ),
    inference(avatar_component_clause,[],[f4972]) ).

fof(f4972,plain,
    ( spl27_1
  <=> v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

fof(f5059,plain,
    v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))),
    inference(forward_demodulation,[],[f5046,f5041]) ).

fof(f5041,plain,
    ! [X0] : k1_zfmisc_1(X0) = k1_relat_1(k5_relset_2(X0,sK7)),
    inference(unit_resulting_resolution,[],[f4984,f4991,f4992,f4955]) ).

fof(f4955,plain,
    ! [X0,X1] :
      ( ~ v1_funct_1(k5_relset_2(X1,X0))
      | k1_zfmisc_1(X1) = k1_relat_1(k5_relset_2(X1,X0))
      | ~ v1_relat_1(X0)
      | ~ v1_relat_1(k5_relset_2(X1,X0)) ),
    inference(equality_resolution,[],[f4826]) ).

fof(f4826,plain,
    ! [X2,X0,X1] :
      ( ~ v1_relat_1(X0)
      | ~ v1_funct_1(X2)
      | ~ v1_relat_1(X2)
      | k1_zfmisc_1(X1) = k1_relat_1(X2)
      | k5_relset_2(X1,X0) != X2 ),
    inference(cnf_transformation,[],[f4700]) ).

fof(f4700,plain,
    ! [X0,X1] :
      ( ~ v1_relat_1(X0)
      | ! [X2] :
          ( ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2)
          | ( ( k5_relset_2(X1,X0) = X2
              | k1_zfmisc_1(X1) != k1_relat_1(X2)
              | ( k9_relat_1(X0,sK9(X0,X1,X2)) != k1_funct_1(X2,sK9(X0,X1,X2))
                & r1_tarski(sK9(X0,X1,X2),X1) ) )
            & ( ( k1_zfmisc_1(X1) = k1_relat_1(X2)
                & ! [X4] :
                    ( k1_funct_1(X2,X4) = k9_relat_1(X0,X4)
                    | ~ r1_tarski(X4,X1) ) )
              | k5_relset_2(X1,X0) != X2 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f4698,f4699]) ).

fof(f4699,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( k1_funct_1(X2,X3) != k9_relat_1(X0,X3)
          & r1_tarski(X3,X1) )
     => ( k9_relat_1(X0,sK9(X0,X1,X2)) != k1_funct_1(X2,sK9(X0,X1,X2))
        & r1_tarski(sK9(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f4698,plain,
    ! [X0,X1] :
      ( ~ v1_relat_1(X0)
      | ! [X2] :
          ( ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2)
          | ( ( k5_relset_2(X1,X0) = X2
              | k1_zfmisc_1(X1) != k1_relat_1(X2)
              | ? [X3] :
                  ( k1_funct_1(X2,X3) != k9_relat_1(X0,X3)
                  & r1_tarski(X3,X1) ) )
            & ( ( k1_zfmisc_1(X1) = k1_relat_1(X2)
                & ! [X4] :
                    ( k1_funct_1(X2,X4) = k9_relat_1(X0,X4)
                    | ~ r1_tarski(X4,X1) ) )
              | k5_relset_2(X1,X0) != X2 ) ) ) ),
    inference(rectify,[],[f4697]) ).

fof(f4697,plain,
    ! [X1,X0] :
      ( ~ v1_relat_1(X1)
      | ! [X2] :
          ( ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2)
          | ( ( k5_relset_2(X0,X1) = X2
              | k1_zfmisc_1(X0) != k1_relat_1(X2)
              | ? [X3] :
                  ( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
                  & r1_tarski(X3,X0) ) )
            & ( ( k1_zfmisc_1(X0) = k1_relat_1(X2)
                & ! [X3] :
                    ( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
                    | ~ r1_tarski(X3,X0) ) )
              | k5_relset_2(X0,X1) != X2 ) ) ) ),
    inference(flattening,[],[f4696]) ).

fof(f4696,plain,
    ! [X1,X0] :
      ( ~ v1_relat_1(X1)
      | ! [X2] :
          ( ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2)
          | ( ( k5_relset_2(X0,X1) = X2
              | k1_zfmisc_1(X0) != k1_relat_1(X2)
              | ? [X3] :
                  ( k1_funct_1(X2,X3) != k9_relat_1(X1,X3)
                  & r1_tarski(X3,X0) ) )
            & ( ( k1_zfmisc_1(X0) = k1_relat_1(X2)
                & ! [X3] :
                    ( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
                    | ~ r1_tarski(X3,X0) ) )
              | k5_relset_2(X0,X1) != X2 ) ) ) ),
    inference(nnf_transformation,[],[f4636]) ).

fof(f4636,plain,
    ! [X1,X0] :
      ( ~ v1_relat_1(X1)
      | ! [X2] :
          ( ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2)
          | ( k5_relset_2(X0,X1) = X2
          <=> ( k1_zfmisc_1(X0) = k1_relat_1(X2)
              & ! [X3] :
                  ( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
                  | ~ r1_tarski(X3,X0) ) ) ) ) ),
    inference(flattening,[],[f4635]) ).

fof(f4635,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( k5_relset_2(X0,X1) = X2
          <=> ( k1_zfmisc_1(X0) = k1_relat_1(X2)
              & ! [X3] :
                  ( k1_funct_1(X2,X3) = k9_relat_1(X1,X3)
                  | ~ r1_tarski(X3,X0) ) ) )
          | ~ v1_funct_1(X2)
          | ~ v1_relat_1(X2) )
      | ~ v1_relat_1(X1) ),
    inference(ennf_transformation,[],[f4489]) ).

fof(f4489,axiom,
    ! [X1,X0] :
      ( v1_relat_1(X1)
     => ! [X2] :
          ( ( v1_funct_1(X2)
            & v1_relat_1(X2) )
         => ( k5_relset_2(X0,X1) = X2
          <=> ( ! [X3] :
                  ( r1_tarski(X3,X0)
                 => k1_funct_1(X2,X3) = k9_relat_1(X1,X3) )
              & k1_zfmisc_1(X0) = k1_relat_1(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relset_2) ).

fof(f4991,plain,
    ! [X0] : v1_relat_1(k5_relset_2(X0,sK7)),
    inference(unit_resulting_resolution,[],[f4984,f4854]) ).

fof(f4854,plain,
    ! [X0,X1] :
      ( v1_relat_1(k5_relset_2(X0,X1))
      | ~ v1_relat_1(X1) ),
    inference(cnf_transformation,[],[f4600]) ).

fof(f5046,plain,
    v1_funct_2(k5_relset_2(sK6,sK7),k1_relat_1(k5_relset_2(sK6,sK7)),k1_zfmisc_1(k2_relat_1(sK7))),
    inference(unit_resulting_resolution,[],[f4991,f4985,f4992,f4862]) ).

fof(f4862,plain,
    ! [X0,X1] :
      ( v1_funct_2(X1,k1_relat_1(X1),X0)
      | ~ r1_tarski(k2_relat_1(X1),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_relat_1(X1) ),
    inference(cnf_transformation,[],[f4726]) ).

fof(f4726,plain,
    ! [X0,X1] :
      ( ~ v1_relat_1(X1)
      | ~ r1_tarski(k2_relat_1(X1),X0)
      | ~ v1_funct_1(X1)
      | ( m2_relset_1(X1,k1_relat_1(X1),X0)
        & v1_funct_2(X1,k1_relat_1(X1),X0)
        & v1_funct_1(X1) ) ),
    inference(rectify,[],[f4655]) ).

fof(f4655,plain,
    ! [X1,X0] :
      ( ~ v1_relat_1(X0)
      | ~ r1_tarski(k2_relat_1(X0),X1)
      | ~ v1_funct_1(X0)
      | ( m2_relset_1(X0,k1_relat_1(X0),X1)
        & v1_funct_2(X0,k1_relat_1(X0),X1)
        & v1_funct_1(X0) ) ),
    inference(flattening,[],[f4654]) ).

fof(f4654,plain,
    ! [X0,X1] :
      ( ( m2_relset_1(X0,k1_relat_1(X0),X1)
        & v1_funct_2(X0,k1_relat_1(X0),X1)
        & v1_funct_1(X0) )
      | ~ r1_tarski(k2_relat_1(X0),X1)
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(ennf_transformation,[],[f4517]) ).

fof(f4517,plain,
    ! [X0,X1] :
      ( ( v1_relat_1(X0)
        & v1_funct_1(X0) )
     => ( r1_tarski(k2_relat_1(X0),X1)
       => ( m2_relset_1(X0,k1_relat_1(X0),X1)
          & v1_funct_2(X0,k1_relat_1(X0),X1)
          & v1_funct_1(X0) ) ) ),
    inference(rectify,[],[f1567]) ).

fof(f1567,axiom,
    ! [X1,X0] :
      ( ( v1_funct_1(X1)
        & v1_relat_1(X1) )
     => ( r1_tarski(k2_relat_1(X1),X0)
       => ( v1_funct_1(X1)
          & m2_relset_1(X1,k1_relat_1(X1),X0)
          & v1_funct_2(X1,k1_relat_1(X1),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_funct_2) ).

fof(f4985,plain,
    r1_tarski(k2_relat_1(k5_relset_2(sK6,sK7)),k1_zfmisc_1(k2_relat_1(sK7))),
    inference(unit_resulting_resolution,[],[f4819,f4794]) ).

fof(f4794,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
      | r1_tarski(k2_relat_1(k5_relset_2(X2,X1)),k1_zfmisc_1(k2_relat_1(X1))) ),
    inference(cnf_transformation,[],[f4679]) ).

fof(f4679,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(k2_relat_1(k5_relset_2(X2,X1)),k1_zfmisc_1(k2_relat_1(X1)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ),
    inference(rectify,[],[f4567]) ).

fof(f4567,plain,
    ! [X1,X2,X0] :
      ( r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
    inference(ennf_transformation,[],[f4491]) ).

fof(f4491,axiom,
    ! [X1,X2,X0] :
      ( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
     => r1_tarski(k2_relat_1(k5_relset_2(X0,X2)),k1_zfmisc_1(k2_relat_1(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relset_2) ).

fof(f5055,plain,
    spl27_3,
    inference(avatar_split_clause,[],[f5054,f4980]) ).

fof(f4980,plain,
    ( spl27_3
  <=> m2_relset_1(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).

fof(f5054,plain,
    m2_relset_1(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))),
    inference(forward_demodulation,[],[f5045,f5041]) ).

fof(f5045,plain,
    m2_relset_1(k5_relset_2(sK6,sK7),k1_relat_1(k5_relset_2(sK6,sK7)),k1_zfmisc_1(k2_relat_1(sK7))),
    inference(unit_resulting_resolution,[],[f4991,f4985,f4992,f4830]) ).

fof(f4830,plain,
    ! [X0,X1] :
      ( m2_relset_1(X0,k1_relat_1(X0),X1)
      | ~ r1_tarski(k2_relat_1(X0),X1)
      | ~ v1_relat_1(X0)
      | ~ v1_funct_1(X0) ),
    inference(cnf_transformation,[],[f4701]) ).

fof(f4701,plain,
    ! [X0,X1] :
      ( ( m2_relset_1(X0,k1_relat_1(X0),X1)
        & v1_funct_1(X0) )
      | ~ v1_funct_1(X0)
      | ~ r1_tarski(k2_relat_1(X0),X1)
      | ~ v1_relat_1(X0) ),
    inference(rectify,[],[f4599]) ).

fof(f4599,plain,
    ! [X1,X0] :
      ( ( m2_relset_1(X1,k1_relat_1(X1),X0)
        & v1_funct_1(X1) )
      | ~ v1_funct_1(X1)
      | ~ r1_tarski(k2_relat_1(X1),X0)
      | ~ v1_relat_1(X1) ),
    inference(flattening,[],[f4598]) ).

fof(f4598,plain,
    ! [X0,X1] :
      ( ( m2_relset_1(X1,k1_relat_1(X1),X0)
        & v1_funct_1(X1) )
      | ~ r1_tarski(k2_relat_1(X1),X0)
      | ~ v1_relat_1(X1)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f1239]) ).

fof(f1239,axiom,
    ! [X0,X1] :
      ( ( v1_relat_1(X1)
        & v1_funct_1(X1) )
     => ( r1_tarski(k2_relat_1(X1),X0)
       => ( m2_relset_1(X1,k1_relat_1(X1),X0)
          & v1_funct_1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_partfun1) ).

fof(f4983,plain,
    ( ~ spl27_1
    | ~ spl27_2
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4820,f4980,f4976,f4972]) ).

fof(f4820,plain,
    ( ~ m2_relset_1(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7)))
    | ~ v1_funct_1(k5_relset_2(sK6,sK7))
    | ~ v1_funct_2(k5_relset_2(sK6,sK7),k1_zfmisc_1(sK6),k1_zfmisc_1(k2_relat_1(sK7))) ),
    inference(cnf_transformation,[],[f4695]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU425+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 15:28:47 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.67/0.65  % (5234)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 (2998ds/51Mi)
% 1.26/0.66  % (5242)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.26/0.67  % (5239)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 (2998ds/49Mi)
% 1.26/0.67  % (5238)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 (2998ds/39Mi)
% 1.40/0.68  % (5255)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 (2998ds/50Mi)
% 1.40/0.68  % (5256)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 (2998ds/95Mi)
% 1.40/0.68  % (5242)Instruction limit reached!
% 1.40/0.68  % (5242)------------------------------
% 1.40/0.68  % (5242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.68  % (5242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.68  % (5242)Termination reason: Unknown
% 1.40/0.68  % (5242)Termination phase: shuffling
% 1.40/0.68  
% 1.40/0.68  % (5242)Memory used [KB]: 6652
% 1.40/0.68  % (5242)Time elapsed: 0.011 s
% 1.40/0.68  % (5242)Instructions burned: 7 (million)
% 1.40/0.68  % (5242)------------------------------
% 1.40/0.68  % (5242)------------------------------
% 1.40/0.69  % (5246)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 (2998ds/7Mi)
% 1.40/0.70  % (5247)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 (2998ds/50Mi)
% 1.40/0.70  % (5233)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 (2998ds/3Mi)
% 1.40/0.70  % (5236)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 (2998ds/15Mi)
% 1.40/0.70  % (5233)Instruction limit reached!
% 1.40/0.70  % (5233)------------------------------
% 1.40/0.70  % (5233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.70  % (5233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.70  % (5233)Termination reason: Unknown
% 1.40/0.70  % (5233)Termination phase: shuffling
% 1.40/0.70  
% 1.40/0.70  % (5233)Memory used [KB]: 6396
% 1.40/0.70  % (5233)Time elapsed: 0.005 s
% 1.40/0.70  % (5233)Instructions burned: 3 (million)
% 1.40/0.70  % (5233)------------------------------
% 1.40/0.70  % (5233)------------------------------
% 1.40/0.70  % (5235)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.40/0.71  % (5246)Instruction limit reached!
% 1.40/0.71  % (5246)------------------------------
% 1.40/0.71  % (5246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.71  % (5246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.71  % (5246)Termination reason: Unknown
% 1.40/0.71  % (5246)Termination phase: Preprocessing 1
% 1.40/0.71  
% 1.40/0.71  % (5246)Memory used [KB]: 6780
% 1.40/0.71  % (5246)Time elapsed: 0.015 s
% 1.40/0.71  % (5246)Instructions burned: 7 (million)
% 1.40/0.71  % (5246)------------------------------
% 1.40/0.71  % (5246)------------------------------
% 1.67/0.73  % (5241)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 (2998ds/12Mi)
% 1.67/0.73  % (5251)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 (2998ds/30Mi)
% 1.67/0.73  % (5234)First to succeed.
% 1.67/0.74  % (5244)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 (2998ds/51Mi)
% 1.87/0.74  % (5243)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 (2998ds/16Mi)
% 1.87/0.74  % (5249)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 (2998ds/2Mi)
% 1.87/0.75  % (5234)Refutation found. Thanks to Tanya!
% 1.87/0.75  % SZS status Theorem for theBenchmark
% 1.87/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.75  % (5234)------------------------------
% 1.87/0.75  % (5234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.75  % (5234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.75  % (5234)Termination reason: Refutation
% 1.87/0.75  
% 1.87/0.75  % (5234)Memory used [KB]: 11897
% 1.87/0.75  % (5234)Time elapsed: 0.157 s
% 1.87/0.75  % (5234)Instructions burned: 46 (million)
% 1.87/0.75  % (5234)------------------------------
% 1.87/0.75  % (5234)------------------------------
% 1.87/0.75  % (5229)Success in time 0.411 s
%------------------------------------------------------------------------------