TSTP Solution File: SEU324+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 18:33:13 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   86 (   9 unt;   0 def)
%            Number of atoms       :  307 (  57 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  340 ( 119   ~; 111   |;  72   &)
%                                         (   9 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   80 (  56   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f653,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f128,f133,f134,f155,f323,f349,f358,f649]) ).

fof(f649,plain,
    ( spl9_1
    | ~ spl9_20 ),
    inference(avatar_contradiction_clause,[],[f648]) ).

fof(f648,plain,
    ( $false
    | spl9_1
    | ~ spl9_20 ),
    inference(subsumption_resolution,[],[f647,f118]) ).

fof(f118,plain,
    ( interior(sK2,sK4) != sK4
    | spl9_1 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl9_1
  <=> interior(sK2,sK4) = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f647,plain,
    ( interior(sK2,sK4) = sK4
    | ~ spl9_20 ),
    inference(forward_demodulation,[],[f646,f139]) ).

fof(f139,plain,
    subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK4)) = sK4,
    inference(resolution,[],[f86,f90]) ).

fof(f90,plain,
    element(sK4,powerset(the_carrier(sK2))),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( top_str(sK1)
    & top_str(sK2)
    & ( ( open_subset(sK4,sK2)
        & interior(sK2,sK4) != sK4 )
      | ( interior(sK1,sK3) = sK3
        & ~ open_subset(sK3,sK1) ) )
    & element(sK4,powerset(the_carrier(sK2)))
    & element(sK3,powerset(the_carrier(sK1)))
    & topological_space(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f51,f69,f68,f67,f66]) ).

fof(f66,plain,
    ( ? [X0] :
        ( top_str(X0)
        & ? [X1] :
            ( top_str(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( ( ( open_subset(X3,X1)
                        & interior(X1,X3) != X3 )
                      | ( interior(X0,X2) = X2
                        & ~ open_subset(X2,X0) ) )
                    & element(X3,powerset(the_carrier(X1))) )
                & element(X2,powerset(the_carrier(X0))) ) )
        & topological_space(X0) )
   => ( top_str(sK1)
      & ? [X1] :
          ( top_str(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( open_subset(X3,X1)
                      & interior(X1,X3) != X3 )
                    | ( interior(sK1,X2) = X2
                      & ~ open_subset(X2,sK1) ) )
                  & element(X3,powerset(the_carrier(X1))) )
              & element(X2,powerset(the_carrier(sK1))) ) )
      & topological_space(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ( ? [X1] :
        ( top_str(X1)
        & ? [X2] :
            ( ? [X3] :
                ( ( ( open_subset(X3,X1)
                    & interior(X1,X3) != X3 )
                  | ( interior(sK1,X2) = X2
                    & ~ open_subset(X2,sK1) ) )
                & element(X3,powerset(the_carrier(X1))) )
            & element(X2,powerset(the_carrier(sK1))) ) )
   => ( top_str(sK2)
      & ? [X2] :
          ( ? [X3] :
              ( ( ( open_subset(X3,sK2)
                  & interior(sK2,X3) != X3 )
                | ( interior(sK1,X2) = X2
                  & ~ open_subset(X2,sK1) ) )
              & element(X3,powerset(the_carrier(sK2))) )
          & element(X2,powerset(the_carrier(sK1))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( open_subset(X3,sK2)
                & interior(sK2,X3) != X3 )
              | ( interior(sK1,X2) = X2
                & ~ open_subset(X2,sK1) ) )
            & element(X3,powerset(the_carrier(sK2))) )
        & element(X2,powerset(the_carrier(sK1))) )
   => ( ? [X3] :
          ( ( ( open_subset(X3,sK2)
              & interior(sK2,X3) != X3 )
            | ( interior(sK1,sK3) = sK3
              & ~ open_subset(sK3,sK1) ) )
          & element(X3,powerset(the_carrier(sK2))) )
      & element(sK3,powerset(the_carrier(sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ( ? [X3] :
        ( ( ( open_subset(X3,sK2)
            & interior(sK2,X3) != X3 )
          | ( interior(sK1,sK3) = sK3
            & ~ open_subset(sK3,sK1) ) )
        & element(X3,powerset(the_carrier(sK2))) )
   => ( ( ( open_subset(sK4,sK2)
          & interior(sK2,sK4) != sK4 )
        | ( interior(sK1,sK3) = sK3
          & ~ open_subset(sK3,sK1) ) )
      & element(sK4,powerset(the_carrier(sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0] :
      ( top_str(X0)
      & ? [X1] :
          ( top_str(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( open_subset(X3,X1)
                      & interior(X1,X3) != X3 )
                    | ( interior(X0,X2) = X2
                      & ~ open_subset(X2,X0) ) )
                  & element(X3,powerset(the_carrier(X1))) )
              & element(X2,powerset(the_carrier(X0))) ) )
      & topological_space(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ? [X0] :
      ( ? [X1] :
          ( top_str(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( ( open_subset(X3,X1)
                      & interior(X1,X3) != X3 )
                    | ( interior(X0,X2) = X2
                      & ~ open_subset(X2,X0) ) )
                  & element(X3,powerset(the_carrier(X1))) )
              & element(X2,powerset(the_carrier(X0))) ) )
      & topological_space(X0)
      & top_str(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( ( topological_space(X0)
          & top_str(X0) )
       => ! [X1] :
            ( top_str(X1)
           => ! [X2] :
                ( element(X2,powerset(the_carrier(X0)))
               => ! [X3] :
                    ( element(X3,powerset(the_carrier(X1)))
                   => ( ( open_subset(X3,X1)
                       => interior(X1,X3) = X3 )
                      & ( interior(X0,X2) = X2
                       => open_subset(X2,X0) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( ( topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( top_str(X1)
         => ! [X2] :
              ( element(X2,powerset(the_carrier(X0)))
             => ! [X3] :
                  ( element(X3,powerset(the_carrier(X1)))
                 => ( ( open_subset(X3,X1)
                     => interior(X1,X3) = X3 )
                    & ( interior(X0,X2) = X2
                     => open_subset(X2,X0) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(X1))
      | subset_complement(X1,subset_complement(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(X1))
      | subset_complement(X1,subset_complement(X1,X0)) = X0 ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
     => subset_complement(X1,subset_complement(X1,X0)) = X0 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
     => subset_complement(X0,subset_complement(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).

fof(f646,plain,
    ( interior(sK2,sK4) = subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK4))
    | ~ spl9_20 ),
    inference(forward_demodulation,[],[f645,f344]) ).

fof(f344,plain,
    ( topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4)) = subset_complement(the_carrier(sK2),sK4)
    | ~ spl9_20 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl9_20
  <=> topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4)) = subset_complement(the_carrier(sK2),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).

fof(f645,plain,
    interior(sK2,sK4) = subset_complement(the_carrier(sK2),topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4))),
    inference(subsumption_resolution,[],[f616,f95]) ).

fof(f95,plain,
    top_str(sK2),
    inference(cnf_transformation,[],[f70]) ).

fof(f616,plain,
    ( ~ top_str(sK2)
    | interior(sK2,sK4) = subset_complement(the_carrier(sK2),topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4))) ),
    inference(resolution,[],[f100,f90]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(the_carrier(X0)))
      | ~ top_str(X0)
      | interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( top_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).

fof(f358,plain,
    ( ~ spl9_4
    | spl9_21 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl9_4
    | spl9_21 ),
    inference(subsumption_resolution,[],[f356,f90]) ).

fof(f356,plain,
    ( ~ element(sK4,powerset(the_carrier(sK2)))
    | ~ spl9_4
    | spl9_21 ),
    inference(subsumption_resolution,[],[f355,f95]) ).

fof(f355,plain,
    ( ~ top_str(sK2)
    | ~ element(sK4,powerset(the_carrier(sK2)))
    | ~ spl9_4
    | spl9_21 ),
    inference(subsumption_resolution,[],[f354,f132]) ).

fof(f132,plain,
    ( open_subset(sK4,sK2)
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl9_4
  <=> open_subset(sK4,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f354,plain,
    ( ~ open_subset(sK4,sK2)
    | ~ top_str(sK2)
    | ~ element(sK4,powerset(the_carrier(sK2)))
    | spl9_21 ),
    inference(resolution,[],[f348,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ open_subset(X1,X0)
      | ~ top_str(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ top_str(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(the_carrier(X0)))
          | ( ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
              | ~ open_subset(X1,X0) )
            & ( open_subset(X1,X0)
              | ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ top_str(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(the_carrier(X0)))
          | ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
          <=> open_subset(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( top_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
          <=> open_subset(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).

fof(f348,plain,
    ( ~ closed_subset(subset_complement(the_carrier(sK2),sK4),sK2)
    | spl9_21 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl9_21
  <=> closed_subset(subset_complement(the_carrier(sK2),sK4),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).

fof(f349,plain,
    ( spl9_20
    | ~ spl9_21
    | ~ spl9_16 ),
    inference(avatar_split_clause,[],[f340,f301,f346,f342]) ).

fof(f301,plain,
    ( spl9_16
  <=> element(subset_complement(the_carrier(sK2),sK4),powerset(the_carrier(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).

fof(f340,plain,
    ( ~ closed_subset(subset_complement(the_carrier(sK2),sK4),sK2)
    | topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4)) = subset_complement(the_carrier(sK2),sK4)
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f336,f95]) ).

fof(f336,plain,
    ( topstr_closure(sK2,subset_complement(the_carrier(sK2),sK4)) = subset_complement(the_carrier(sK2),sK4)
    | ~ closed_subset(subset_complement(the_carrier(sK2),sK4),sK2)
    | ~ top_str(sK2)
    | ~ spl9_16 ),
    inference(resolution,[],[f302,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(the_carrier(X0)))
      | ~ closed_subset(X1,X0)
      | ~ top_str(X0)
      | topstr_closure(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ top_str(X0)
      | ! [X1] :
          ( ( ( ~ topological_space(X0)
              | topstr_closure(X0,X1) != X1
              | closed_subset(X1,X0) )
            & ( ~ closed_subset(X1,X0)
              | topstr_closure(X0,X1) = X1 ) )
          | ~ element(X1,powerset(the_carrier(X0))) ) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( closed_subset(X1,X0)
              | topstr_closure(X0,X1) != X1
              | ~ topological_space(X0) )
            & ( ~ closed_subset(X1,X0)
              | topstr_closure(X0,X1) = X1 ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( top_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( ( ( topstr_closure(X0,X1) = X1
                & topological_space(X0) )
             => closed_subset(X1,X0) )
            & ( closed_subset(X1,X0)
             => topstr_closure(X0,X1) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).

fof(f302,plain,
    ( element(subset_complement(the_carrier(sK2),sK4),powerset(the_carrier(sK2)))
    | ~ spl9_16 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f323,plain,
    spl9_16,
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f322,plain,
    ( $false
    | spl9_16 ),
    inference(subsumption_resolution,[],[f320,f90]) ).

fof(f320,plain,
    ( ~ element(sK4,powerset(the_carrier(sK2)))
    | spl9_16 ),
    inference(resolution,[],[f303,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( element(subset_complement(X0,X1),powerset(X0))
      | ~ element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | element(subset_complement(X0,X1),powerset(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => element(subset_complement(X0,X1),powerset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).

fof(f303,plain,
    ( ~ element(subset_complement(the_carrier(sK2),sK4),powerset(the_carrier(sK2)))
    | spl9_16 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f155,plain,
    ( ~ spl9_2
    | spl9_3 ),
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | ~ spl9_2
    | spl9_3 ),
    inference(subsumption_resolution,[],[f153,f96]) ).

fof(f96,plain,
    top_str(sK1),
    inference(cnf_transformation,[],[f70]) ).

fof(f153,plain,
    ( ~ top_str(sK1)
    | ~ spl9_2
    | spl9_3 ),
    inference(subsumption_resolution,[],[f152,f88]) ).

fof(f88,plain,
    topological_space(sK1),
    inference(cnf_transformation,[],[f70]) ).

fof(f152,plain,
    ( ~ topological_space(sK1)
    | ~ top_str(sK1)
    | ~ spl9_2
    | spl9_3 ),
    inference(subsumption_resolution,[],[f151,f89]) ).

fof(f89,plain,
    element(sK3,powerset(the_carrier(sK1))),
    inference(cnf_transformation,[],[f70]) ).

fof(f151,plain,
    ( ~ element(sK3,powerset(the_carrier(sK1)))
    | ~ top_str(sK1)
    | ~ topological_space(sK1)
    | ~ spl9_2
    | spl9_3 ),
    inference(subsumption_resolution,[],[f150,f127]) ).

fof(f127,plain,
    ( ~ open_subset(sK3,sK1)
    | spl9_3 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl9_3
  <=> open_subset(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f150,plain,
    ( open_subset(sK3,sK1)
    | ~ top_str(sK1)
    | ~ topological_space(sK1)
    | ~ element(sK3,powerset(the_carrier(sK1)))
    | ~ spl9_2 ),
    inference(superposition,[],[f84,f122]) ).

fof(f122,plain,
    ( interior(sK1,sK3) = sK3
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl9_2
  <=> interior(sK1,sK3) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( open_subset(interior(X0,X1),X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( open_subset(interior(X0,X1),X0)
      | ~ topological_space(X0)
      | ~ top_str(X0)
      | ~ element(X1,powerset(the_carrier(X0))) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( open_subset(interior(X1,X0),X1)
      | ~ topological_space(X1)
      | ~ top_str(X1)
      | ~ element(X0,powerset(the_carrier(X1))) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X1,X0] :
      ( open_subset(interior(X1,X0),X1)
      | ~ element(X0,powerset(the_carrier(X1)))
      | ~ topological_space(X1)
      | ~ top_str(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( ( element(X0,powerset(the_carrier(X1)))
        & topological_space(X1)
        & top_str(X1) )
     => open_subset(interior(X1,X0),X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( ( top_str(X0)
        & element(X1,powerset(the_carrier(X0)))
        & topological_space(X0) )
     => open_subset(interior(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).

fof(f134,plain,
    ( spl9_4
    | ~ spl9_3 ),
    inference(avatar_split_clause,[],[f93,f125,f130]) ).

fof(f93,plain,
    ( ~ open_subset(sK3,sK1)
    | open_subset(sK4,sK2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f133,plain,
    ( spl9_4
    | spl9_2 ),
    inference(avatar_split_clause,[],[f94,f120,f130]) ).

fof(f94,plain,
    ( interior(sK1,sK3) = sK3
    | open_subset(sK4,sK2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f128,plain,
    ( ~ spl9_3
    | ~ spl9_1 ),
    inference(avatar_split_clause,[],[f91,f116,f125]) ).

fof(f91,plain,
    ( interior(sK2,sK4) != sK4
    | ~ open_subset(sK3,sK1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f123,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f92,f120,f116]) ).

fof(f92,plain,
    ( interior(sK1,sK3) = sK3
    | interior(sK2,sK4) != sK4 ),
    inference(cnf_transformation,[],[f70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 15:06:47 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.45  % (7918)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)
% 0.20/0.45  TRYING [1]
% 0.20/0.45  TRYING [2]
% 0.20/0.47  % (7942)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.47  TRYING [3]
% 0.20/0.48  % (7934)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)
% 0.20/0.48  % (7926)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49  % (7919)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)
% 0.20/0.49  TRYING [4]
% 0.20/0.50  % (7921)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)
% 0.20/0.50  % (7930)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (7926)Instruction limit reached!
% 0.20/0.50  % (7926)------------------------------
% 0.20/0.50  % (7926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (7926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (7926)Termination reason: Unknown
% 0.20/0.50  % (7926)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (7926)Memory used [KB]: 5500
% 0.20/0.50  % (7926)Time elapsed: 0.004 s
% 0.20/0.50  % (7926)Instructions burned: 3 (million)
% 0.20/0.50  % (7926)------------------------------
% 0.20/0.50  % (7926)------------------------------
% 0.20/0.50  % (7938)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)
% 0.20/0.50  % (7919)Refutation not found, incomplete strategy% (7919)------------------------------
% 0.20/0.50  % (7919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (7919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (7919)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (7919)Memory used [KB]: 5500
% 0.20/0.50  % (7919)Time elapsed: 0.091 s
% 0.20/0.50  % (7919)Instructions burned: 3 (million)
% 0.20/0.50  % (7919)------------------------------
% 0.20/0.50  % (7919)------------------------------
% 0.20/0.51  % (7929)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)
% 0.20/0.51  % (7934)First to succeed.
% 0.20/0.51  % (7947)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)
% 0.20/0.52  % (7934)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (7934)------------------------------
% 0.20/0.52  % (7934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (7934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (7934)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (7934)Memory used [KB]: 5884
% 0.20/0.52  % (7934)Time elapsed: 0.122 s
% 0.20/0.52  % (7934)Instructions burned: 20 (million)
% 0.20/0.52  % (7934)------------------------------
% 0.20/0.52  % (7934)------------------------------
% 0.20/0.52  % (7917)Success in time 0.164 s
%------------------------------------------------------------------------------