TSTP Solution File: LAT310+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Thu Aug 31 06:17:38 EDT 2023

% Result   : Theorem 3.50s 1.16s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  119 (  30 unt;   0 def)
%            Number of atoms       :  595 (  22 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  797 ( 321   ~; 317   |; 130   &)
%                                         (   3 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  196 (   1 sgn;  93   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
             => ! [X3] :
                  ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                 => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    & ( r1_tarski(X2,X3)
                     => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X1) )
           => ! [X2] :
                ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X2) )
               => ! [X3] :
                    ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                      & ~ v1_xboole_0(X3) )
                   => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      & ( r1_tarski(X2,X3)
                       => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( m2_filter_2(X2,X0)
             => ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( m2_filter_2(X3,X0)
                     => ( r1_tarski(X1,X3)
                       => r1_tarski(X2,X3) ) )
                  & r1_tarski(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & ~ v1_xboole_0(X1)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(k19_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).

fof(f16,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f17,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f36,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X0,X1) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f46,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f36]) ).

fof(f48,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f57]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f88,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                        & r1_tarski(X2,X3) ) )
                    & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
                    | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(sK0)
      & v10_lattices(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
                  | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                    & r1_tarski(X2,X3) ) )
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
                & ~ v1_xboole_0(X3) )
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
            & ~ v1_xboole_0(X2) )
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
                | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                  & r1_tarski(X2,X3) ) )
              & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
              & ~ v1_xboole_0(X3) )
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X2) )
      & m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
              | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                & r1_tarski(X2,X3) ) )
            & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
            & ~ v1_xboole_0(X3) )
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X2) )
   => ( ? [X3] :
          ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
            | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
              & r1_tarski(sK2,X3) ) )
          & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X3) )
      & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ( ? [X3] :
        ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
          | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
            & r1_tarski(sK2,X3) ) )
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X3) )
   => ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
        | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
          & r1_tarski(sK2,sK3) ) )
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
      | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
        & r1_tarski(sK2,sK3) ) )
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK3)
    & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK2)
    & m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK1)
    & l3_lattices(sK0)
    & v10_lattices(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f91,f90,f89,f88]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ r1_tarski(X2,X3)
          & r1_tarski(X1,X3)
          & m2_filter_2(X3,X0) )
     => ( ~ r1_tarski(X2,sK4(X0,X1,X2))
        & r1_tarski(X1,sK4(X0,X1,X2))
        & m2_filter_2(sK4(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ( ~ r1_tarski(X2,sK4(X0,X1,X2))
                    & r1_tarski(X1,sK4(X0,X1,X2))
                    & m2_filter_2(sK4(X0,X1,X2),X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96]) ).

fof(f127,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f128,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f129,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f130,plain,
    ~ v1_xboole_0(sK1),
    inference(cnf_transformation,[],[f92]) ).

fof(f131,plain,
    m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f132,plain,
    ~ v1_xboole_0(sK2),
    inference(cnf_transformation,[],[f92]) ).

fof(f133,plain,
    m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f134,plain,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f92]) ).

fof(f135,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f136,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | r1_tarski(sK2,sK3) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f137,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X1,X2)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f149,plain,
    ! [X2,X0,X1,X4] :
      ( r1_tarski(X2,X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f183,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f46]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f194,plain,
    ! [X0,X1,X4] :
      ( r1_tarski(k19_filter_2(X0,X1),X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f149]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,k19_filter_2(X0,X1))
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f148]) ).

cnf(c_49,negated_conjecture,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_50,negated_conjecture,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | r1_tarski(sK2,sK3) ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_51,negated_conjecture,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_52,negated_conjecture,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_53,negated_conjecture,
    m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_54,negated_conjecture,
    ~ v1_xboole_0(sK2),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_55,negated_conjecture,
    m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_56,negated_conjecture,
    ~ v1_xboole_0(sK1),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_57,negated_conjecture,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_58,negated_conjecture,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_59,negated_conjecture,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_71,plain,
    ( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ r1_tarski(X1,X2)
    | ~ m2_filter_2(X2,X0)
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r1_tarski(k19_filter_2(X0,X1),X2)
    | v1_xboole_0(X1)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_72,plain,
    ( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r1_tarski(X1,k19_filter_2(X0,X1))
    | v1_xboole_0(X1)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_73,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m2_filter_2(k19_filter_2(X1,X0),X1)
    | v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_78,plain,
    ( ~ m2_filter_2(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m2_lattice4(X0,X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_79,plain,
    ( ~ m2_filter_2(X0,X1)
    | ~ v1_xboole_0(X0)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_80,plain,
    ( ~ m2_lattice4(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_103,plain,
    r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_105,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r1_tarski(X2,X0)
    | r1_tarski(X2,X1) ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_580,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r1_tarski(X0,k19_filter_2(X1,X0))
    | v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_72,c_73]) ).

cnf(c_581,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ r1_tarski(X0,X2)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r1_tarski(k19_filter_2(X1,X0),X2)
    | v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_71,c_73]) ).

cnf(c_1054,plain,
    ( X0 != X1
    | X2 != X3
    | ~ m2_filter_2(X0,X2)
    | ~ l3_lattices(X2)
    | ~ l3_lattices(X3)
    | ~ v10_lattices(X2)
    | ~ v10_lattices(X3)
    | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(resolution_lifted,[status(thm)],[c_78,c_80]) ).

cnf(c_1055,plain,
    ( ~ m2_filter_2(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(unflattening,[status(thm)],[c_1054]) ).

cnf(c_1274,plain,
    ( X0 != sK0
    | ~ m2_filter_2(X1,X0)
    | ~ l3_lattices(X0)
    | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_1055]) ).

cnf(c_1275,plain,
    ( ~ m2_filter_2(X0,sK0)
    | ~ l3_lattices(sK0)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1274]) ).

cnf(c_1277,plain,
    ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ m2_filter_2(X0,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_1275,c_57,c_59,c_1275]) ).

cnf(c_1278,plain,
    ( ~ m2_filter_2(X0,sK0)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(renaming,[status(thm)],[c_1277]) ).

cnf(c_1286,plain,
    ( X0 != sK0
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ r1_tarski(X1,X2)
    | ~ m2_filter_2(X2,X0)
    | ~ l3_lattices(X0)
    | r1_tarski(k19_filter_2(X0,X1),X2)
    | v1_xboole_0(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_581]) ).

cnf(c_1287,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X1,sK0)
    | ~ l3_lattices(sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1)
    | v1_xboole_0(X0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1286]) ).

cnf(c_1289,plain,
    ( v1_xboole_0(X0)
    | r1_tarski(k19_filter_2(sK0,X0),X1)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X1,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_1287,c_57,c_59,c_1287]) ).

cnf(c_1290,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X1,sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1)
    | v1_xboole_0(X0) ),
    inference(renaming,[status(thm)],[c_1289]) ).

cnf(c_1307,plain,
    ( X0 != sK0
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l3_lattices(X0)
    | r1_tarski(X1,k19_filter_2(X0,X1))
    | v1_xboole_0(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_580]) ).

cnf(c_1308,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ l3_lattices(sK0)
    | r1_tarski(X0,k19_filter_2(sK0,X0))
    | v1_xboole_0(X0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1307]) ).

cnf(c_1310,plain,
    ( v1_xboole_0(X0)
    | r1_tarski(X0,k19_filter_2(sK0,X0))
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(global_subsumption_just,[status(thm)],[c_1308,c_57,c_59,c_1308]) ).

cnf(c_1311,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | r1_tarski(X0,k19_filter_2(sK0,X0))
    | v1_xboole_0(X0) ),
    inference(renaming,[status(thm)],[c_1310]) ).

cnf(c_1322,plain,
    ( X0 != sK0
    | ~ m2_filter_2(X1,X0)
    | ~ v1_xboole_0(X1)
    | ~ l3_lattices(X0)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_79]) ).

cnf(c_1323,plain,
    ( ~ m2_filter_2(X0,sK0)
    | ~ v1_xboole_0(X0)
    | ~ l3_lattices(sK0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1322]) ).

cnf(c_1325,plain,
    ( ~ m2_filter_2(X0,sK0)
    | ~ v1_xboole_0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1323,c_57,c_59,c_1323]) ).

cnf(c_1334,plain,
    ( X0 != sK0
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ l3_lattices(X0)
    | m2_filter_2(k19_filter_2(X0,X1),X0)
    | v1_xboole_0(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_73]) ).

cnf(c_1335,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ l3_lattices(sK0)
    | m2_filter_2(k19_filter_2(sK0,X0),sK0)
    | v1_xboole_0(X0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1334]) ).

cnf(c_1337,plain,
    ( v1_xboole_0(X0)
    | m2_filter_2(k19_filter_2(sK0,X0),sK0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(global_subsumption_just,[status(thm)],[c_1335,c_57,c_59,c_1335]) ).

cnf(c_1338,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
    | m2_filter_2(k19_filter_2(sK0,X0),sK0)
    | v1_xboole_0(X0) ),
    inference(renaming,[status(thm)],[c_1337]) ).

cnf(c_1835,plain,
    ( k1_zfmisc_1(u1_struct_0(sK0)) != k1_zfmisc_1(u1_struct_0(sK0))
    | X0 != X1
    | ~ r1_tarski(X1,X2)
    | ~ m2_filter_2(X0,sK0)
    | ~ m2_filter_2(X2,sK0)
    | r1_tarski(k19_filter_2(sK0,X1),X2)
    | v1_xboole_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_1278,c_1290]) ).

cnf(c_1836,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X0,sK0)
    | ~ m2_filter_2(X1,sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1)
    | v1_xboole_0(X0) ),
    inference(unflattening,[status(thm)],[c_1835]) ).

cnf(c_1838,plain,
    ( r1_tarski(k19_filter_2(sK0,X0),X1)
    | ~ m2_filter_2(X1,sK0)
    | ~ m2_filter_2(X0,sK0)
    | ~ r1_tarski(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_1836,c_1278,c_1290,c_1325]) ).

cnf(c_1839,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X0,sK0)
    | ~ m2_filter_2(X1,sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1) ),
    inference(renaming,[status(thm)],[c_1838]) ).

cnf(c_4415,plain,
    ( ~ m2_filter_2(X0,sK0)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(prop_impl_just,[status(thm)],[c_1278]) ).

cnf(c_8730,plain,
    ( r1_tarski(sK3,k19_filter_2(sK0,sK3))
    | v1_xboole_0(sK3) ),
    inference(superposition,[status(thm)],[c_51,c_1311]) ).

cnf(c_8741,plain,
    r1_tarski(sK3,k19_filter_2(sK0,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_8730,c_52]) ).

cnf(c_8757,plain,
    ( m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | v1_xboole_0(sK3) ),
    inference(superposition,[status(thm)],[c_51,c_1338]) ).

cnf(c_8759,plain,
    ( m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | v1_xboole_0(sK1) ),
    inference(superposition,[status(thm)],[c_55,c_1338]) ).

cnf(c_8766,plain,
    m2_filter_2(k19_filter_2(sK0,sK1),sK0),
    inference(forward_subsumption_resolution,[status(thm)],[c_8759,c_56]) ).

cnf(c_8768,plain,
    m2_filter_2(k19_filter_2(sK0,sK3),sK0),
    inference(forward_subsumption_resolution,[status(thm)],[c_8757,c_52]) ).

cnf(c_8819,plain,
    ( ~ r1_tarski(sK2,X0)
    | ~ m2_filter_2(X0,sK0)
    | r1_tarski(k19_filter_2(sK0,sK2),X0)
    | v1_xboole_0(sK2) ),
    inference(superposition,[status(thm)],[c_53,c_1290]) ).

cnf(c_8831,plain,
    ( ~ r1_tarski(sK2,X0)
    | ~ m2_filter_2(X0,sK0)
    | r1_tarski(k19_filter_2(sK0,sK2),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8819,c_54]) ).

cnf(c_9086,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X0,sK0)
    | ~ m2_filter_2(X1,sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1)
    | v1_xboole_0(X0) ),
    inference(superposition,[status(thm)],[c_4415,c_1290]) ).

cnf(c_10692,plain,
    ( r1_tarski(k19_filter_2(sK0,X0),X1)
    | ~ m2_filter_2(X1,sK0)
    | ~ m2_filter_2(X0,sK0)
    | ~ r1_tarski(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_9086,c_1839]) ).

cnf(c_10693,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ m2_filter_2(X0,sK0)
    | ~ m2_filter_2(X1,sK0)
    | r1_tarski(k19_filter_2(sK0,X0),X1) ),
    inference(renaming,[status(thm)],[c_10692]) ).

cnf(c_10702,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,sK1),k19_filter_2(sK0,sK1))
    | ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0) ),
    inference(superposition,[status(thm)],[c_10693,c_49]) ).

cnf(c_10703,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,sK1),k19_filter_2(sK0,sK1))
    | ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | r1_tarski(sK2,sK3) ),
    inference(superposition,[status(thm)],[c_10693,c_50]) ).

cnf(c_10713,plain,
    r1_tarski(sK2,sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_10703,c_8766,c_103]) ).

cnf(c_10719,plain,
    ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_10702,c_8766,c_103]) ).

cnf(c_10761,plain,
    ( ~ r1_tarski(sK3,X0)
    | r1_tarski(sK2,X0) ),
    inference(superposition,[status(thm)],[c_10713,c_105]) ).

cnf(c_10778,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0) ),
    inference(superposition,[status(thm)],[c_8831,c_10719]) ).

cnf(c_10779,plain,
    ~ r1_tarski(sK2,k19_filter_2(sK0,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_10778,c_8768]) ).

cnf(c_10847,plain,
    r1_tarski(sK2,k19_filter_2(sK0,sK3)),
    inference(superposition,[status(thm)],[c_8741,c_10761]) ).

cnf(c_10850,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10847,c_10779]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n013.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Thu Aug 24 05:15:17 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.50/1.16  % SZS status Started for theBenchmark.p
% 3.50/1.16  % SZS status Theorem for theBenchmark.p
% 3.50/1.16  
% 3.50/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.50/1.16  
% 3.50/1.16  ------  iProver source info
% 3.50/1.16  
% 3.50/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.50/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.50/1.16  git: non_committed_changes: false
% 3.50/1.16  git: last_make_outside_of_git: false
% 3.50/1.16  
% 3.50/1.16  ------ Parsing...
% 3.50/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.50/1.16  
% 3.50/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e 
% 3.50/1.16  
% 3.50/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.16  
% 3.50/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.50/1.16  ------ Proving...
% 3.50/1.16  ------ Problem Properties 
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  clauses                                 61
% 3.50/1.16  conjectures                             9
% 3.50/1.16  EPR                                     19
% 3.50/1.16  Horn                                    49
% 3.50/1.16  unary                                   26
% 3.50/1.16  binary                                  24
% 3.50/1.16  lits                                    118
% 3.50/1.16  lits eq                                 5
% 3.50/1.16  fd_pure                                 0
% 3.50/1.16  fd_pseudo                               0
% 3.50/1.16  fd_cond                                 1
% 3.50/1.16  fd_pseudo_cond                          4
% 3.50/1.16  AC symbols                              0
% 3.50/1.16  
% 3.50/1.16  ------ Schedule dynamic 5 is on 
% 3.50/1.16  
% 3.50/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  ------ 
% 3.50/1.16  Current options:
% 3.50/1.16  ------ 
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  ------ Proving...
% 3.50/1.16  
% 3.50/1.16  
% 3.50/1.16  % SZS status Theorem for theBenchmark.p
% 3.50/1.16  
% 3.50/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.16  
% 3.50/1.16  
%------------------------------------------------------------------------------