TSTP Solution File: SEU388+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 17:06:49 EDT 2023

% Result   : Theorem 3.86s 1.21s
% Output   : CNFRefutation 3.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   77 (  13 unt;   0 def)
%            Number of atoms       :  328 (  47 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  424 ( 173   ~; 179   |;  54   &)
%                                         (   5 <=>;  11  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  130 (   0 sgn;  51   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,axiom,
    ! [X0] :
      ( ( top_str(X0)
        & topological_space(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).

fof(f72,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,the_carrier(X1))
        & top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( X0 = X3
            & point_neighbourhood(X3,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).

fof(f114,conjecture,
    ! [X0] :
      ( ( top_str(X0)
        & topological_space(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <=> point_neighbourhood(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).

fof(f115,negated_conjecture,
    ~ ! [X0] :
        ( ( top_str(X0)
          & topological_space(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( in(X2,neighborhood_system(X0,X1))
              <=> point_neighbourhood(X2,X0,X1) ) ) ),
    inference(negated_conjecture,[],[f114]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
          | ~ element(X1,the_carrier(X0)) )
      | ~ top_str(X0)
      | ~ topological_space(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
          | ~ element(X1,the_carrier(X0)) )
      | ~ top_str(X0)
      | ~ topological_space(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f235]) ).

fof(f274,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( X0 = X3
            & point_neighbourhood(X3,X1,X2) ) )
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f275,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,a_2_0_yellow19(X1,X2))
      <=> ? [X3] :
            ( X0 = X3
            & point_neighbourhood(X3,X1,X2) ) )
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(flattening,[],[f274]) ).

fof(f313,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <~> point_neighbourhood(X2,X0,X1) )
          & element(X1,the_carrier(X0)) )
      & top_str(X0)
      & topological_space(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f314,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,neighborhood_system(X0,X1))
            <~> point_neighbourhood(X2,X0,X1) )
          & element(X1,the_carrier(X0)) )
      & top_str(X0)
      & topological_space(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f313]) ).

fof(f341,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( X0 != X3
              | ~ point_neighbourhood(X3,X1,X2) ) )
        & ( ? [X3] :
              ( X0 = X3
              & point_neighbourhood(X3,X1,X2) )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(nnf_transformation,[],[f275]) ).

fof(f342,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( X0 != X3
              | ~ point_neighbourhood(X3,X1,X2) ) )
        & ( ? [X4] :
              ( X0 = X4
              & point_neighbourhood(X4,X1,X2) )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(rectify,[],[f341]) ).

fof(f343,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( X0 = X4
          & point_neighbourhood(X4,X1,X2) )
     => ( sK9(X0,X1,X2) = X0
        & point_neighbourhood(sK9(X0,X1,X2),X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,a_2_0_yellow19(X1,X2))
          | ! [X3] :
              ( X0 != X3
              | ~ point_neighbourhood(X3,X1,X2) ) )
        & ( ( sK9(X0,X1,X2) = X0
            & point_neighbourhood(sK9(X0,X1,X2),X1,X2) )
          | ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f342,f343]) ).

fof(f415,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ point_neighbourhood(X2,X0,X1)
                | ~ in(X2,neighborhood_system(X0,X1)) )
              & ( point_neighbourhood(X2,X0,X1)
                | in(X2,neighborhood_system(X0,X1)) ) )
          & element(X1,the_carrier(X0)) )
      & top_str(X0)
      & topological_space(X0)
      & ~ empty_carrier(X0) ),
    inference(nnf_transformation,[],[f314]) ).

fof(f416,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ( ~ point_neighbourhood(X2,X0,X1)
                  | ~ in(X2,neighborhood_system(X0,X1)) )
                & ( point_neighbourhood(X2,X0,X1)
                  | in(X2,neighborhood_system(X0,X1)) ) )
            & element(X1,the_carrier(X0)) )
        & top_str(X0)
        & topological_space(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ( ~ point_neighbourhood(X2,sK44,X1)
                | ~ in(X2,neighborhood_system(sK44,X1)) )
              & ( point_neighbourhood(X2,sK44,X1)
                | in(X2,neighborhood_system(sK44,X1)) ) )
          & element(X1,the_carrier(sK44)) )
      & top_str(sK44)
      & topological_space(sK44)
      & ~ empty_carrier(sK44) ) ),
    introduced(choice_axiom,[]) ).

fof(f417,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ( ~ point_neighbourhood(X2,sK44,X1)
              | ~ in(X2,neighborhood_system(sK44,X1)) )
            & ( point_neighbourhood(X2,sK44,X1)
              | in(X2,neighborhood_system(sK44,X1)) ) )
        & element(X1,the_carrier(sK44)) )
   => ( ? [X2] :
          ( ( ~ point_neighbourhood(X2,sK44,sK45)
            | ~ in(X2,neighborhood_system(sK44,sK45)) )
          & ( point_neighbourhood(X2,sK44,sK45)
            | in(X2,neighborhood_system(sK44,sK45)) ) )
      & element(sK45,the_carrier(sK44)) ) ),
    introduced(choice_axiom,[]) ).

fof(f418,plain,
    ( ? [X2] :
        ( ( ~ point_neighbourhood(X2,sK44,sK45)
          | ~ in(X2,neighborhood_system(sK44,sK45)) )
        & ( point_neighbourhood(X2,sK44,sK45)
          | in(X2,neighborhood_system(sK44,sK45)) ) )
   => ( ( ~ point_neighbourhood(sK46,sK44,sK45)
        | ~ in(sK46,neighborhood_system(sK44,sK45)) )
      & ( point_neighbourhood(sK46,sK44,sK45)
        | in(sK46,neighborhood_system(sK44,sK45)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f419,plain,
    ( ( ~ point_neighbourhood(sK46,sK44,sK45)
      | ~ in(sK46,neighborhood_system(sK44,sK45)) )
    & ( point_neighbourhood(sK46,sK44,sK45)
      | in(sK46,neighborhood_system(sK44,sK45)) )
    & element(sK45,the_carrier(sK44))
    & top_str(sK44)
    & topological_space(sK44)
    & ~ empty_carrier(sK44) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46])],[f415,f418,f417,f416]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ top_str(X0)
      | ~ topological_space(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( point_neighbourhood(sK9(X0,X1,X2),X1,X2)
      | ~ in(X0,a_2_0_yellow19(X1,X2))
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f577,plain,
    ! [X2,X0,X1] :
      ( sK9(X0,X1,X2) = X0
      | ~ in(X0,a_2_0_yellow19(X1,X2))
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f578,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,a_2_0_yellow19(X1,X2))
      | X0 != X3
      | ~ point_neighbourhood(X3,X1,X2)
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f721,plain,
    ~ empty_carrier(sK44),
    inference(cnf_transformation,[],[f419]) ).

fof(f722,plain,
    topological_space(sK44),
    inference(cnf_transformation,[],[f419]) ).

fof(f723,plain,
    top_str(sK44),
    inference(cnf_transformation,[],[f419]) ).

fof(f724,plain,
    element(sK45,the_carrier(sK44)),
    inference(cnf_transformation,[],[f419]) ).

fof(f725,plain,
    ( point_neighbourhood(sK46,sK44,sK45)
    | in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(cnf_transformation,[],[f419]) ).

fof(f726,plain,
    ( ~ point_neighbourhood(sK46,sK44,sK45)
    | ~ in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(cnf_transformation,[],[f419]) ).

fof(f732,plain,
    ! [X2,X3,X1] :
      ( in(X3,a_2_0_yellow19(X1,X2))
      | ~ point_neighbourhood(X3,X1,X2)
      | ~ element(X2,the_carrier(X1))
      | ~ top_str(X1)
      | ~ topological_space(X1)
      | empty_carrier(X1) ),
    inference(equality_resolution,[],[f578]) ).

cnf(c_91,plain,
    ( ~ element(X0,the_carrier(X1))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | neighborhood_system(X1,X0) = a_2_0_yellow19(X1,X0)
    | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f484]) ).

cnf(c_183,plain,
    ( ~ point_neighbourhood(X0,X1,X2)
    | ~ element(X2,the_carrier(X1))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | in(X0,a_2_0_yellow19(X1,X2))
    | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f732]) ).

cnf(c_184,plain,
    ( ~ in(X0,a_2_0_yellow19(X1,X2))
    | ~ element(X2,the_carrier(X1))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | sK9(X0,X1,X2) = X0
    | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f577]) ).

cnf(c_185,plain,
    ( ~ in(X0,a_2_0_yellow19(X1,X2))
    | ~ element(X2,the_carrier(X1))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | point_neighbourhood(sK9(X0,X1,X2),X1,X2)
    | empty_carrier(X1) ),
    inference(cnf_transformation,[],[f576]) ).

cnf(c_328,negated_conjecture,
    ( ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ point_neighbourhood(sK46,sK44,sK45) ),
    inference(cnf_transformation,[],[f726]) ).

cnf(c_329,negated_conjecture,
    ( in(sK46,neighborhood_system(sK44,sK45))
    | point_neighbourhood(sK46,sK44,sK45) ),
    inference(cnf_transformation,[],[f725]) ).

cnf(c_330,negated_conjecture,
    element(sK45,the_carrier(sK44)),
    inference(cnf_transformation,[],[f724]) ).

cnf(c_331,negated_conjecture,
    top_str(sK44),
    inference(cnf_transformation,[],[f723]) ).

cnf(c_332,negated_conjecture,
    topological_space(sK44),
    inference(cnf_transformation,[],[f722]) ).

cnf(c_333,negated_conjecture,
    ~ empty_carrier(sK44),
    inference(cnf_transformation,[],[f721]) ).

cnf(c_501,plain,
    ( ~ point_neighbourhood(sK46,sK44,sK45)
    | ~ in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(prop_impl_just,[status(thm)],[c_328]) ).

cnf(c_502,plain,
    ( ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ point_neighbourhood(sK46,sK44,sK45) ),
    inference(renaming,[status(thm)],[c_501]) ).

cnf(c_503,plain,
    ( point_neighbourhood(sK46,sK44,sK45)
    | in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(prop_impl_just,[status(thm)],[c_329]) ).

cnf(c_504,plain,
    ( in(sK46,neighborhood_system(sK44,sK45))
    | point_neighbourhood(sK46,sK44,sK45) ),
    inference(renaming,[status(thm)],[c_503]) ).

cnf(c_3524,plain,
    ( X0 != sK44
    | ~ in(X1,a_2_0_yellow19(X0,X2))
    | ~ element(X2,the_carrier(X0))
    | ~ top_str(X0)
    | point_neighbourhood(sK9(X1,X0,X2),X0,X2)
    | empty_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_185,c_332]) ).

cnf(c_3525,plain,
    ( ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44))
    | ~ top_str(sK44)
    | point_neighbourhood(sK9(X0,sK44,X1),sK44,X1)
    | empty_carrier(sK44) ),
    inference(unflattening,[status(thm)],[c_3524]) ).

cnf(c_3527,plain,
    ( point_neighbourhood(sK9(X0,sK44,X1),sK44,X1)
    | ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44)) ),
    inference(global_subsumption_just,[status(thm)],[c_3525,c_331,c_333,c_3525]) ).

cnf(c_3528,plain,
    ( ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44))
    | point_neighbourhood(sK9(X0,sK44,X1),sK44,X1) ),
    inference(renaming,[status(thm)],[c_3527]) ).

cnf(c_3539,plain,
    ( X0 != sK44
    | ~ in(X1,a_2_0_yellow19(X0,X2))
    | ~ element(X2,the_carrier(X0))
    | ~ top_str(X0)
    | sK9(X1,X0,X2) = X1
    | empty_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_184,c_332]) ).

cnf(c_3540,plain,
    ( ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44))
    | ~ top_str(sK44)
    | sK9(X0,sK44,X1) = X0
    | empty_carrier(sK44) ),
    inference(unflattening,[status(thm)],[c_3539]) ).

cnf(c_3542,plain,
    ( sK9(X0,sK44,X1) = X0
    | ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44)) ),
    inference(global_subsumption_just,[status(thm)],[c_3540,c_331,c_333,c_3540]) ).

cnf(c_3543,plain,
    ( ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ element(X1,the_carrier(sK44))
    | sK9(X0,sK44,X1) = X0 ),
    inference(renaming,[status(thm)],[c_3542]) ).

cnf(c_3554,plain,
    ( X0 != sK44
    | ~ point_neighbourhood(X1,X0,X2)
    | ~ element(X2,the_carrier(X0))
    | ~ top_str(X0)
    | in(X1,a_2_0_yellow19(X0,X2))
    | empty_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_183,c_332]) ).

cnf(c_3555,plain,
    ( ~ point_neighbourhood(X0,sK44,X1)
    | ~ element(X1,the_carrier(sK44))
    | ~ top_str(sK44)
    | in(X0,a_2_0_yellow19(sK44,X1))
    | empty_carrier(sK44) ),
    inference(unflattening,[status(thm)],[c_3554]) ).

cnf(c_3557,plain,
    ( in(X0,a_2_0_yellow19(sK44,X1))
    | ~ point_neighbourhood(X0,sK44,X1)
    | ~ element(X1,the_carrier(sK44)) ),
    inference(global_subsumption_just,[status(thm)],[c_3555,c_331,c_333,c_3555]) ).

cnf(c_3558,plain,
    ( ~ point_neighbourhood(X0,sK44,X1)
    | ~ element(X1,the_carrier(sK44))
    | in(X0,a_2_0_yellow19(sK44,X1)) ),
    inference(renaming,[status(thm)],[c_3557]) ).

cnf(c_3608,plain,
    ( X0 != sK44
    | ~ element(X1,the_carrier(X0))
    | ~ top_str(X0)
    | neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
    | empty_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_332]) ).

cnf(c_3609,plain,
    ( ~ element(X0,the_carrier(sK44))
    | ~ top_str(sK44)
    | neighborhood_system(sK44,X0) = a_2_0_yellow19(sK44,X0)
    | empty_carrier(sK44) ),
    inference(unflattening,[status(thm)],[c_3608]) ).

cnf(c_3611,plain,
    ( neighborhood_system(sK44,X0) = a_2_0_yellow19(sK44,X0)
    | ~ element(X0,the_carrier(sK44)) ),
    inference(global_subsumption_just,[status(thm)],[c_3609,c_331,c_333,c_3609]) ).

cnf(c_3612,plain,
    ( ~ element(X0,the_carrier(sK44))
    | neighborhood_system(sK44,X0) = a_2_0_yellow19(sK44,X0) ),
    inference(renaming,[status(thm)],[c_3611]) ).

cnf(c_3684,plain,
    ( sK9(X0,sK44,X1) != sK46
    | X1 != sK45
    | sK44 != sK44
    | ~ in(X0,a_2_0_yellow19(sK44,X1))
    | ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ element(X1,the_carrier(sK44)) ),
    inference(resolution_lifted,[status(thm)],[c_502,c_3528]) ).

cnf(c_3685,plain,
    ( sK9(X0,sK44,sK45) != sK46
    | ~ in(X0,a_2_0_yellow19(sK44,sK45))
    | ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ element(sK45,the_carrier(sK44)) ),
    inference(unflattening,[status(thm)],[c_3684]) ).

cnf(c_3687,plain,
    ( ~ in(sK46,neighborhood_system(sK44,sK45))
    | ~ in(X0,a_2_0_yellow19(sK44,sK45))
    | sK9(X0,sK44,sK45) != sK46 ),
    inference(global_subsumption_just,[status(thm)],[c_3685,c_330,c_3685]) ).

cnf(c_3688,plain,
    ( sK9(X0,sK44,sK45) != sK46
    | ~ in(X0,a_2_0_yellow19(sK44,sK45))
    | ~ in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(renaming,[status(thm)],[c_3687]) ).

cnf(c_3709,plain,
    ( X0 != sK46
    | X1 != sK45
    | sK44 != sK44
    | ~ element(X1,the_carrier(sK44))
    | in(X0,a_2_0_yellow19(sK44,X1))
    | in(sK46,neighborhood_system(sK44,sK45)) ),
    inference(resolution_lifted,[status(thm)],[c_504,c_3558]) ).

cnf(c_3710,plain,
    ( ~ element(sK45,the_carrier(sK44))
    | in(sK46,neighborhood_system(sK44,sK45))
    | in(sK46,a_2_0_yellow19(sK44,sK45)) ),
    inference(unflattening,[status(thm)],[c_3709]) ).

cnf(c_3711,plain,
    ( in(sK46,neighborhood_system(sK44,sK45))
    | in(sK46,a_2_0_yellow19(sK44,sK45)) ),
    inference(global_subsumption_just,[status(thm)],[c_3710,c_330,c_3710]) ).

cnf(c_10888,plain,
    neighborhood_system(sK44,sK45) = a_2_0_yellow19(sK44,sK45),
    inference(superposition,[status(thm)],[c_330,c_3612]) ).

cnf(c_10889,plain,
    in(sK46,neighborhood_system(sK44,sK45)),
    inference(demodulation,[status(thm)],[c_3711,c_10888]) ).

cnf(c_10901,plain,
    ( ~ in(X0,neighborhood_system(sK44,sK45))
    | ~ element(sK45,the_carrier(sK44))
    | sK9(X0,sK44,sK45) = X0 ),
    inference(superposition,[status(thm)],[c_10888,c_3543]) ).

cnf(c_10902,plain,
    ( ~ in(X0,neighborhood_system(sK44,sK45))
    | sK9(X0,sK44,sK45) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10901,c_330]) ).

cnf(c_10910,plain,
    sK9(sK46,sK44,sK45) = sK46,
    inference(superposition,[status(thm)],[c_10889,c_10902]) ).

cnf(c_11050,plain,
    ( ~ in(X0,a_2_0_yellow19(sK44,sK45))
    | sK9(X0,sK44,sK45) != sK46 ),
    inference(global_subsumption_just,[status(thm)],[c_3688,c_330,c_3685,c_10889]) ).

cnf(c_11051,plain,
    ( sK9(X0,sK44,sK45) != sK46
    | ~ in(X0,a_2_0_yellow19(sK44,sK45)) ),
    inference(renaming,[status(thm)],[c_11050]) ).

cnf(c_11053,plain,
    ( sK9(X0,sK44,sK45) != sK46
    | ~ in(X0,neighborhood_system(sK44,sK45)) ),
    inference(light_normalisation,[status(thm)],[c_11051,c_10888]) ).

cnf(c_11058,plain,
    ~ in(sK46,neighborhood_system(sK44,sK45)),
    inference(superposition,[status(thm)],[c_10910,c_11053]) ).

cnf(c_11060,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11058,c_10889]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 00:32:50 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.86/1.21  % SZS status Started for theBenchmark.p
% 3.86/1.21  % SZS status Theorem for theBenchmark.p
% 3.86/1.21  
% 3.86/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.86/1.21  
% 3.86/1.21  ------  iProver source info
% 3.86/1.21  
% 3.86/1.21  git: date: 2023-05-31 18:12:56 +0000
% 3.86/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.86/1.21  git: non_committed_changes: false
% 3.86/1.21  git: last_make_outside_of_git: false
% 3.86/1.21  
% 3.86/1.21  ------ Parsing...
% 3.86/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.86/1.21  
% 3.86/1.21  ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 3.86/1.21  
% 3.86/1.21  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.86/1.21  
% 3.86/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.86/1.21  ------ Proving...
% 3.86/1.21  ------ Problem Properties 
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  clauses                                 363
% 3.86/1.21  conjectures                             1
% 3.86/1.21  EPR                                     26
% 3.86/1.21  Horn                                    354
% 3.86/1.21  unary                                   182
% 3.86/1.21  binary                                  167
% 3.86/1.21  lits                                    558
% 3.86/1.21  lits eq                                 148
% 3.86/1.21  fd_pure                                 0
% 3.86/1.21  fd_pseudo                               0
% 3.86/1.21  fd_cond                                 1
% 3.86/1.21  fd_pseudo_cond                          5
% 3.86/1.21  AC symbols                              0
% 3.86/1.21  
% 3.86/1.21  ------ Schedule dynamic 5 is on 
% 3.86/1.21  
% 3.86/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  ------ 
% 3.86/1.21  Current options:
% 3.86/1.21  ------ 
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  ------ Proving...
% 3.86/1.21  
% 3.86/1.21  
% 3.86/1.21  % SZS status Theorem for theBenchmark.p
% 3.86/1.21  
% 3.86/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.21  
% 3.86/1.21  
%------------------------------------------------------------------------------