TSTP Solution File: SEU449+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 May 31 12:37:10 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   79 (  12 unt;   0 def)
%            Number of atoms       :  206 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  213 (  86   ~;  85   |;  16   &)
%                                         (  14 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  15 usr;  12 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   99 (;  89   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(B))
         => ! [E] :
              ( m2_relset_1(E,A,B)
             => ( r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)))
                & r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [A,B,C] :
        ( m1_subset_1(C,k1_zfmisc_1(A))
       => ! [D] :
            ( m1_subset_1(D,k1_zfmisc_1(B))
           => ! [E] :
                ( m2_relset_1(E,A,B)
               => ( r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)))
                  & r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f43,axiom,
    ! [A,B] : r1_tarski(A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [A,B,C] :
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [A,B,C] :
      ( m1_relset_1(C,A,B)
     => m2_relset_1(k6_relset_1(A,B,C),B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [A,B,C,D] :
      ( ( m1_subset_1(C,k1_zfmisc_1(A))
        & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
     => m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [A,B,C] :
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(B))
         => ! [E] :
              ( m2_relset_1(E,A,B)
             => ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
              <=> r1_tarski(D,k8_relset_2(A,B,C,E)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,plain,
    ? [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
      & ? [D] :
          ( m1_subset_1(D,k1_zfmisc_1(B))
          & ? [E] :
              ( m2_relset_1(E,A,B)
              & ( ~ r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)))
                | ~ r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E)) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f58,plain,
    ? [A,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
      & ? [B,D] :
          ( m1_subset_1(D,k1_zfmisc_1(B))
          & ? [E] :
              ( m2_relset_1(E,A,B)
              & ( ~ r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)))
                | ~ r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E)) ) ) ) ),
    inference(miniscoping,[status(esa)],[f57]) ).

fof(f59,plain,
    ( m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
    & m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2))
    & m2_relset_1(sk0_4,sk0_0,sk0_2)
    & ( ~ r1_tarski(sk0_1,k8_relset_2(sk0_2,sk0_0,k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k6_relset_1(sk0_0,sk0_2,sk0_4)))
      | ~ r1_tarski(sk0_3,k8_relset_2(sk0_0,sk0_2,k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),sk0_4)) ) ),
    inference(skolemization,[status(esa)],[f58]) ).

fof(f60,plain,
    m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0)),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f61,plain,
    m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2)),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f62,plain,
    m2_relset_1(sk0_4,sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f63,plain,
    ( ~ r1_tarski(sk0_1,k8_relset_2(sk0_2,sk0_0,k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k6_relset_1(sk0_0,sk0_2,sk0_4)))
    | ~ r1_tarski(sk0_3,k8_relset_2(sk0_0,sk0_2,k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),sk0_4)) ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f154,plain,
    ! [A] : r1_tarski(A,A),
    inference(miniscoping,[status(esa)],[f43]) ).

fof(f155,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[status(esa)],[f154]) ).

fof(f164,plain,
    ! [A,B,C] :
      ( ( ~ m2_relset_1(C,A,B)
        | m1_relset_1(C,A,B) )
      & ( m2_relset_1(C,A,B)
        | ~ m1_relset_1(C,A,B) ) ),
    inference(NNF_transformation,[status(esa)],[f48]) ).

fof(f165,plain,
    ( ! [A,B,C] :
        ( ~ m2_relset_1(C,A,B)
        | m1_relset_1(C,A,B) )
    & ! [A,B,C] :
        ( m2_relset_1(C,A,B)
        | ~ m1_relset_1(C,A,B) ) ),
    inference(miniscoping,[status(esa)],[f164]) ).

fof(f166,plain,
    ! [X0,X1,X2] :
      ( ~ m2_relset_1(X0,X1,X2)
      | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f165]) ).

fof(f168,plain,
    ! [A,B,C] :
      ( ~ m1_relset_1(C,A,B)
      | m2_relset_1(k6_relset_1(A,B,C),B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f50]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( ~ m1_relset_1(X0,X1,X2)
      | m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f170,plain,
    ! [A,B,C,D] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
      | m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f51]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
      | m1_subset_1(k8_relset_2(X1,X3,X0,X2),k1_zfmisc_1(X3)) ),
    inference(cnf_transformation,[status(esa)],[f170]) ).

fof(f172,plain,
    ! [A,B,C] :
      ( ~ m2_relset_1(C,A,B)
      | m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f173,plain,
    ! [X0,X1,X2] :
      ( ~ m2_relset_1(X0,X1,X2)
      | m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(cnf_transformation,[status(esa)],[f172]) ).

fof(f179,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(B))
          | ! [E] :
              ( ~ m2_relset_1(E,A,B)
              | ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
              <=> r1_tarski(D,k8_relset_2(A,B,C,E)) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f56]) ).

fof(f180,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(B))
          | ! [E] :
              ( ~ m2_relset_1(E,A,B)
              | ( ( ~ r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
                  | r1_tarski(D,k8_relset_2(A,B,C,E)) )
                & ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
                  | ~ r1_tarski(D,k8_relset_2(A,B,C,E)) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f179]) ).

fof(f181,plain,
    ! [A,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [B,D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(B))
          | ! [E] :
              ( ~ m2_relset_1(E,A,B)
              | ( ( ~ r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
                  | r1_tarski(D,k8_relset_2(A,B,C,E)) )
                & ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
                  | ~ r1_tarski(D,k8_relset_2(A,B,C,E)) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f180]) ).

fof(f182,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
      | ~ m2_relset_1(X4,X1,X3)
      | ~ r1_tarski(X0,k8_relset_2(X3,X1,X2,k6_relset_1(X1,X3,X4)))
      | r1_tarski(X2,k8_relset_2(X1,X3,X0,X4)) ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
      | ~ m2_relset_1(X4,X1,X3)
      | r1_tarski(X0,k8_relset_2(X3,X1,X2,k6_relset_1(X1,X3,X4)))
      | ~ r1_tarski(X2,k8_relset_2(X1,X3,X0,X4)) ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f184,plain,
    ( spl0_0
  <=> r1_tarski(sk0_1,k8_relset_2(sk0_2,sk0_0,k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k6_relset_1(sk0_0,sk0_2,sk0_4))) ),
    introduced(split_symbol_definition) ).

fof(f186,plain,
    ( ~ r1_tarski(sk0_1,k8_relset_2(sk0_2,sk0_0,k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k6_relset_1(sk0_0,sk0_2,sk0_4)))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,plain,
    ( spl0_1
  <=> r1_tarski(sk0_3,k8_relset_2(sk0_0,sk0_2,k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),sk0_4)) ),
    introduced(split_symbol_definition) ).

fof(f189,plain,
    ( ~ r1_tarski(sk0_3,k8_relset_2(sk0_0,sk0_2,k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),sk0_4))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f190,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f63,f184,f187]) ).

fof(f197,plain,
    ( spl0_2
  <=> m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f199,plain,
    ( ~ m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f197]) ).

fof(f200,plain,
    ( spl0_3
  <=> m1_subset_1(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k1_zfmisc_1(sk0_2)) ),
    introduced(split_symbol_definition) ).

fof(f202,plain,
    ( ~ m1_subset_1(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k1_zfmisc_1(sk0_2))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f203,plain,
    ( spl0_4
  <=> m2_relset_1(sk0_4,sk0_0,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f205,plain,
    ( ~ m2_relset_1(sk0_4,sk0_0,sk0_2)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f206,plain,
    ( spl0_5
  <=> r1_tarski(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4)) ),
    introduced(split_symbol_definition) ).

fof(f208,plain,
    ( ~ r1_tarski(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4))
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( ~ m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
    | ~ m1_subset_1(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k1_zfmisc_1(sk0_2))
    | ~ m2_relset_1(sk0_4,sk0_0,sk0_2)
    | ~ r1_tarski(k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4),k8_relset_2(sk0_0,sk0_2,sk0_1,sk0_4))
    | spl0_0 ),
    inference(resolution,[status(thm)],[f186,f183]) ).

fof(f210,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f209,f197,f200,f203,f206,f184]) ).

fof(f220,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f208,f155]) ).

fof(f221,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f220]) ).

fof(f222,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f205,f62]) ).

fof(f223,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f222]) ).

fof(f224,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f199,f60]) ).

fof(f225,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f224]) ).

fof(f226,plain,
    ( spl0_8
  <=> m1_subset_1(sk0_4,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2))) ),
    introduced(split_symbol_definition) ).

fof(f228,plain,
    ( ~ m1_subset_1(sk0_4,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f226]) ).

fof(f229,plain,
    ( ~ m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
    | ~ m1_subset_1(sk0_4,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))
    | spl0_3 ),
    inference(resolution,[status(thm)],[f202,f171]) ).

fof(f230,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f229,f197,f226,f200]) ).

fof(f233,plain,
    ( spl0_9
  <=> m1_subset_1(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k1_zfmisc_1(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f235,plain,
    ( ~ m1_subset_1(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k1_zfmisc_1(sk0_0))
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f233]) ).

fof(f236,plain,
    ( spl0_10
  <=> m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2)) ),
    introduced(split_symbol_definition) ).

fof(f238,plain,
    ( ~ m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2))
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f239,plain,
    ( spl0_11
  <=> r1_tarski(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4))) ),
    introduced(split_symbol_definition) ).

fof(f241,plain,
    ( ~ r1_tarski(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)))
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f242,plain,
    ( ~ m1_subset_1(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k1_zfmisc_1(sk0_0))
    | ~ m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2))
    | ~ m2_relset_1(sk0_4,sk0_0,sk0_2)
    | ~ r1_tarski(k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)),k8_relset_2(sk0_2,sk0_0,sk0_3,k6_relset_1(sk0_0,sk0_2,sk0_4)))
    | spl0_1 ),
    inference(resolution,[status(thm)],[f189,f182]) ).

fof(f243,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_4
    | ~ spl0_11
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f242,f233,f236,f203,f239,f187]) ).

fof(f245,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f241,f155]) ).

fof(f246,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f245]) ).

fof(f247,plain,
    ( $false
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f61]) ).

fof(f248,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f247]) ).

fof(f249,plain,
    ( spl0_12
  <=> m1_subset_1(k6_relset_1(sk0_0,sk0_2,sk0_4),k1_zfmisc_1(k2_zfmisc_1(sk0_2,sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f251,plain,
    ( ~ m1_subset_1(k6_relset_1(sk0_0,sk0_2,sk0_4),k1_zfmisc_1(k2_zfmisc_1(sk0_2,sk0_0)))
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f249]) ).

fof(f252,plain,
    ( ~ m1_subset_1(sk0_3,k1_zfmisc_1(sk0_2))
    | ~ m1_subset_1(k6_relset_1(sk0_0,sk0_2,sk0_4),k1_zfmisc_1(k2_zfmisc_1(sk0_2,sk0_0)))
    | spl0_9 ),
    inference(resolution,[status(thm)],[f235,f171]) ).

fof(f253,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_9 ),
    inference(split_clause,[status(thm)],[f252,f236,f249,f233]) ).

fof(f260,plain,
    ( ~ m2_relset_1(k6_relset_1(sk0_0,sk0_2,sk0_4),sk0_2,sk0_0)
    | spl0_12 ),
    inference(resolution,[status(thm)],[f251,f173]) ).

fof(f262,plain,
    ( ~ m1_relset_1(sk0_4,sk0_0,sk0_2)
    | spl0_12 ),
    inference(resolution,[status(thm)],[f260,f169]) ).

fof(f264,plain,
    ( ~ m2_relset_1(sk0_4,sk0_0,sk0_2)
    | spl0_12 ),
    inference(resolution,[status(thm)],[f262,f166]) ).

fof(f265,plain,
    ( ~ spl0_4
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f264,f203,f249]) ).

fof(f266,plain,
    ( ~ m2_relset_1(sk0_4,sk0_0,sk0_2)
    | spl0_8 ),
    inference(resolution,[status(thm)],[f228,f173]) ).

fof(f267,plain,
    ( ~ spl0_4
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f266,f203,f226]) ).

fof(f269,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f190,f210,f221,f223,f225,f230,f243,f246,f248,f253,f265,f267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:16:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.59  % Elapsed time: 0.029539 seconds
% 0.19/0.59  % CPU time: 0.097089 seconds
% 0.19/0.59  % Memory used: 16.071 MB
%------------------------------------------------------------------------------