TSTP Solution File: SEU427+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU427+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 : Tue Apr 30 20:42:20 EDT 2024

% Result   : Theorem 4.50s 1.22s
% Output   : CNFRefutation 5.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  175 (  35 unt;   0 def)
%            Number of atoms       :  468 ( 146 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  516 ( 223   ~; 198   |;  52   &)
%                                         (  29 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  19 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  13 con; 0-4 aty)
%            Number of variables   :  202 ( 181   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] :
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] :
      ( B = k1_tarski(A)
    <=> ! [C] :
          ( r2_hidden(C,B)
        <=> C = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B] :
      ( r1_tarski(A,B)
    <=> ! [C] :
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [A] :
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f185,axiom,
    ! [A,B] :
      ( B = k1_zfmisc_1(A)
    <=> ! [C] :
          ( r2_hidden(C,B)
        <=> r1_tarski(C,A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f349,axiom,
    ! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f431,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f433,axiom,
    ! [A,B,C] :
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4469,axiom,
    ! [A,B] :
      ( r2_hidden(A,k3_pua2mss1(B))
    <=> ? [C] :
          ( A = k1_tarski(C)
          & r2_hidden(C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4470,axiom,
    ! [A] :
      ( A = k1_xboole_0
    <=> k3_pua2mss1(A) = k1_xboole_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4495,axiom,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
         => ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
          <=> C = k1_xboole_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4498,conjecture,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(A))
         => ! [E] :
              ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
             => ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
               => k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4499,negated_conjecture,
    ~ ! [A,B,C] :
        ( m1_subset_1(C,k1_zfmisc_1(A))
       => ! [D] :
            ( m1_subset_1(D,k1_zfmisc_1(A))
           => ! [E] :
                ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
               => ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
                 => k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f4498]) ).

fof(f4500,plain,
    ! [A,B] :
      ( ~ r2_hidden(A,B)
      | ~ r2_hidden(B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f4501,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ r2_hidden(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4500]) ).

fof(f4507,plain,
    ! [A,B] :
      ( ( B != k1_tarski(A)
        | ! [C] :
            ( ( ~ r2_hidden(C,B)
              | C = A )
            & ( r2_hidden(C,B)
              | C != A ) ) )
      & ( B = k1_tarski(A)
        | ? [C] :
            ( ( ~ r2_hidden(C,B)
              | C != A )
            & ( r2_hidden(C,B)
              | C = A ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f4]) ).

fof(f4508,plain,
    ( ! [A,B] :
        ( B != k1_tarski(A)
        | ( ! [C] :
              ( ~ r2_hidden(C,B)
              | C = A )
          & ! [C] :
              ( r2_hidden(C,B)
              | C != A ) ) )
    & ! [A,B] :
        ( B = k1_tarski(A)
        | ? [C] :
            ( ( ~ r2_hidden(C,B)
              | C != A )
            & ( r2_hidden(C,B)
              | C = A ) ) ) ),
    inference(miniscoping,[status(esa)],[f4507]) ).

fof(f4509,plain,
    ( ! [A,B] :
        ( B != k1_tarski(A)
        | ( ! [C] :
              ( ~ r2_hidden(C,B)
              | C = A )
          & ! [C] :
              ( r2_hidden(C,B)
              | C != A ) ) )
    & ! [A,B] :
        ( B = k1_tarski(A)
        | ( ( ~ r2_hidden(sk0_1(B,A),B)
            | sk0_1(B,A) != A )
          & ( r2_hidden(sk0_1(B,A),B)
            | sk0_1(B,A) = A ) ) ) ),
    inference(skolemization,[status(esa)],[f4508]) ).

fof(f4511,plain,
    ! [X0,X1,X2] :
      ( X0 != k1_tarski(X1)
      | r2_hidden(X2,X0)
      | X2 != X1 ),
    inference(cnf_transformation,[status(esa)],[f4509]) ).

fof(f4523,plain,
    ! [A,B] :
      ( r1_tarski(A,B)
    <=> ! [C] :
          ( ~ r2_hidden(C,A)
          | r2_hidden(C,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f4524,plain,
    ! [A,B] :
      ( ( ~ r1_tarski(A,B)
        | ! [C] :
            ( ~ r2_hidden(C,A)
            | r2_hidden(C,B) ) )
      & ( r1_tarski(A,B)
        | ? [C] :
            ( r2_hidden(C,A)
            & ~ r2_hidden(C,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f4523]) ).

fof(f4525,plain,
    ( ! [A,B] :
        ( ~ r1_tarski(A,B)
        | ! [C] :
            ( ~ r2_hidden(C,A)
            | r2_hidden(C,B) ) )
    & ! [A,B] :
        ( r1_tarski(A,B)
        | ? [C] :
            ( r2_hidden(C,A)
            & ~ r2_hidden(C,B) ) ) ),
    inference(miniscoping,[status(esa)],[f4524]) ).

fof(f4526,plain,
    ( ! [A,B] :
        ( ~ r1_tarski(A,B)
        | ! [C] :
            ( ~ r2_hidden(C,A)
            | r2_hidden(C,B) ) )
    & ! [A,B] :
        ( r1_tarski(A,B)
        | ( r2_hidden(sk0_3(B,A),A)
          & ~ r2_hidden(sk0_3(B,A),B) ) ) ),
    inference(skolemization,[status(esa)],[f4525]) ).

fof(f4528,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
      | r2_hidden(sk0_3(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f4526]) ).

fof(f4578,plain,
    v1_xboole_0(k1_xboole_0),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f4589,plain,
    ! [A] :
      ( ( A != k1_xboole_0
        | ! [B] : ~ r2_hidden(B,A) )
      & ( A = k1_xboole_0
        | ? [B] : r2_hidden(B,A) ) ),
    inference(NNF_transformation,[status(esa)],[f29]) ).

fof(f4590,plain,
    ( ! [A] :
        ( A != k1_xboole_0
        | ! [B] : ~ r2_hidden(B,A) )
    & ! [A] :
        ( A = k1_xboole_0
        | ? [B] : r2_hidden(B,A) ) ),
    inference(miniscoping,[status(esa)],[f4589]) ).

fof(f4591,plain,
    ( ! [A] :
        ( A != k1_xboole_0
        | ! [B] : ~ r2_hidden(B,A) )
    & ! [A] :
        ( A = k1_xboole_0
        | r2_hidden(sk0_22(A),A) ) ),
    inference(skolemization,[status(esa)],[f4590]) ).

fof(f4592,plain,
    ! [X0,X1] :
      ( X0 != k1_xboole_0
      | ~ r2_hidden(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4591]) ).

fof(f4712,plain,
    ! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
    inference(cnf_transformation,[status(esa)],[f62]) ).

fof(f4958,plain,
    ! [A,B] :
      ( ( B != k1_zfmisc_1(A)
        | ! [C] :
            ( ( ~ r2_hidden(C,B)
              | r1_tarski(C,A) )
            & ( r2_hidden(C,B)
              | ~ r1_tarski(C,A) ) ) )
      & ( B = k1_zfmisc_1(A)
        | ? [C] :
            ( ( ~ r2_hidden(C,B)
              | ~ r1_tarski(C,A) )
            & ( r2_hidden(C,B)
              | r1_tarski(C,A) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f185]) ).

fof(f4959,plain,
    ( ! [A,B] :
        ( B != k1_zfmisc_1(A)
        | ( ! [C] :
              ( ~ r2_hidden(C,B)
              | r1_tarski(C,A) )
          & ! [C] :
              ( r2_hidden(C,B)
              | ~ r1_tarski(C,A) ) ) )
    & ! [A,B] :
        ( B = k1_zfmisc_1(A)
        | ? [C] :
            ( ( ~ r2_hidden(C,B)
              | ~ r1_tarski(C,A) )
            & ( r2_hidden(C,B)
              | r1_tarski(C,A) ) ) ) ),
    inference(miniscoping,[status(esa)],[f4958]) ).

fof(f4960,plain,
    ( ! [A,B] :
        ( B != k1_zfmisc_1(A)
        | ( ! [C] :
              ( ~ r2_hidden(C,B)
              | r1_tarski(C,A) )
          & ! [C] :
              ( r2_hidden(C,B)
              | ~ r1_tarski(C,A) ) ) )
    & ! [A,B] :
        ( B = k1_zfmisc_1(A)
        | ( ( ~ r2_hidden(sk0_36(B,A),B)
            | ~ r1_tarski(sk0_36(B,A),A) )
          & ( r2_hidden(sk0_36(B,A),B)
            | r1_tarski(sk0_36(B,A),A) ) ) ) ),
    inference(skolemization,[status(esa)],[f4959]) ).

fof(f4962,plain,
    ! [X0,X1,X2] :
      ( X0 != k1_zfmisc_1(X1)
      | r2_hidden(X2,X0)
      | ~ r1_tarski(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f4960]) ).

fof(f5356,plain,
    ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
    inference(cnf_transformation,[status(esa)],[f349]) ).

fof(f5577,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(B,k1_zfmisc_1(A))
      | ~ m1_subset_1(C,k1_zfmisc_1(A))
      | k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f431]) ).

fof(f5578,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | k4_subset_1(X1,X0,X2) = k4_subset_1(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f5577]) ).

fof(f5582,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(B,k1_zfmisc_1(A))
      | ~ m1_subset_1(C,k1_zfmisc_1(A))
      | k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
    inference(pre_NNF_transformation,[status(esa)],[f433]) ).

fof(f5583,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5582]) ).

fof(f17497,plain,
    ! [A,B] :
      ( ( ~ r2_hidden(A,k3_pua2mss1(B))
        | ? [C] :
            ( A = k1_tarski(C)
            & r2_hidden(C,B) ) )
      & ( r2_hidden(A,k3_pua2mss1(B))
        | ! [C] :
            ( A != k1_tarski(C)
            | ~ r2_hidden(C,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f4469]) ).

fof(f17498,plain,
    ( ! [A,B] :
        ( ~ r2_hidden(A,k3_pua2mss1(B))
        | ? [C] :
            ( A = k1_tarski(C)
            & r2_hidden(C,B) ) )
    & ! [A,B] :
        ( r2_hidden(A,k3_pua2mss1(B))
        | ! [C] :
            ( A != k1_tarski(C)
            | ~ r2_hidden(C,B) ) ) ),
    inference(miniscoping,[status(esa)],[f17497]) ).

fof(f17499,plain,
    ( ! [A,B] :
        ( ~ r2_hidden(A,k3_pua2mss1(B))
        | ( A = k1_tarski(sk0_1203(B,A))
          & r2_hidden(sk0_1203(B,A),B) ) )
    & ! [A,B] :
        ( r2_hidden(A,k3_pua2mss1(B))
        | ! [C] :
            ( A != k1_tarski(C)
            | ~ r2_hidden(C,B) ) ) ),
    inference(skolemization,[status(esa)],[f17498]) ).

fof(f17502,plain,
    ! [X0,X1,X2] :
      ( r2_hidden(X0,k3_pua2mss1(X1))
      | X0 != k1_tarski(X2)
      | ~ r2_hidden(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f17499]) ).

fof(f17503,plain,
    ! [A] :
      ( ( A != k1_xboole_0
        | k3_pua2mss1(A) = k1_xboole_0 )
      & ( A = k1_xboole_0
        | k3_pua2mss1(A) != k1_xboole_0 ) ),
    inference(NNF_transformation,[status(esa)],[f4470]) ).

fof(f17504,plain,
    ( ! [A] :
        ( A != k1_xboole_0
        | k3_pua2mss1(A) = k1_xboole_0 )
    & ! [A] :
        ( A = k1_xboole_0
        | k3_pua2mss1(A) != k1_xboole_0 ) ),
    inference(miniscoping,[status(esa)],[f17503]) ).

fof(f17505,plain,
    ! [X0] :
      ( X0 != k1_xboole_0
      | k3_pua2mss1(X0) = k1_xboole_0 ),
    inference(cnf_transformation,[status(esa)],[f17504]) ).

fof(f17575,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
          | ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
          <=> C = k1_xboole_0 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4495]) ).

fof(f17576,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
          | ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
              | C = k1_xboole_0 )
            & ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
              | C != k1_xboole_0 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f17575]) ).

fof(f17577,plain,
    ! [A,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [B,D] :
          ( ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
          | ( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0
              | C = k1_xboole_0 )
            & ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
              | C != k1_xboole_0 ) ) ) ),
    inference(miniscoping,[status(esa)],[f17576]) ).

fof(f17578,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)))
      | k4_relset_2(k1_zfmisc_1(X1),X3,k6_relset_2(X3,X1,X2),k3_pua2mss1(X0)) != k1_xboole_0
      | X0 = k1_xboole_0 ),
    inference(cnf_transformation,[status(esa)],[f17577]) ).

fof(f17579,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)))
      | k4_relset_2(k1_zfmisc_1(X1),X3,k6_relset_2(X3,X1,X2),k3_pua2mss1(X0)) = k1_xboole_0
      | X0 != k1_xboole_0 ),
    inference(cnf_transformation,[status(esa)],[f17577]) ).

fof(f17589,plain,
    ? [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
      & ? [D] :
          ( m1_subset_1(D,k1_zfmisc_1(A))
          & ? [E] :
              ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
              & k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
              & k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4499]) ).

fof(f17590,plain,
    ? [A,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
      & ? [D] :
          ( m1_subset_1(D,k1_zfmisc_1(A))
          & ? [B,E] :
              ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
              & k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
              & k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E) ) ) ),
    inference(miniscoping,[status(esa)],[f17589]) ).

fof(f17591,plain,
    ( m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206))
    & m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    & m1_subset_1(sk0_1210,k1_zfmisc_1(k2_zfmisc_1(sk0_1206,sk0_1209)))
    & k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0
    & k8_relset_2(sk0_1206,sk0_1209,k4_subset_1(sk0_1206,sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210) ),
    inference(skolemization,[status(esa)],[f17590]) ).

fof(f17592,plain,
    m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206)),
    inference(cnf_transformation,[status(esa)],[f17591]) ).

fof(f17593,plain,
    m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206)),
    inference(cnf_transformation,[status(esa)],[f17591]) ).

fof(f17594,plain,
    m1_subset_1(sk0_1210,k1_zfmisc_1(k2_zfmisc_1(sk0_1206,sk0_1209))),
    inference(cnf_transformation,[status(esa)],[f17591]) ).

fof(f17595,plain,
    k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0,
    inference(cnf_transformation,[status(esa)],[f17591]) ).

fof(f17596,plain,
    k8_relset_2(sk0_1206,sk0_1209,k4_subset_1(sk0_1206,sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210),
    inference(cnf_transformation,[status(esa)],[f17591]) ).

fof(f20858,plain,
    ! [X0] : r2_hidden(X0,k1_tarski(X0)),
    inference(destructive_equality_resolution,[status(esa)],[f4511]) ).

fof(f20867,plain,
    ! [X0] : ~ r2_hidden(X0,k1_xboole_0),
    inference(destructive_equality_resolution,[status(esa)],[f4592]) ).

fof(f20884,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f4962]) ).

fof(f21729,plain,
    ! [X0,X1] :
      ( r2_hidden(k1_tarski(X0),k3_pua2mss1(X1))
      | ~ r2_hidden(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f17502]) ).

fof(f21730,plain,
    k3_pua2mss1(k1_xboole_0) = k1_xboole_0,
    inference(destructive_equality_resolution,[status(esa)],[f17505]) ).

fof(f21733,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
      | k4_relset_2(k1_zfmisc_1(X0),X2,k6_relset_2(X2,X0,X1),k3_pua2mss1(k1_xboole_0)) = k1_xboole_0 ),
    inference(destructive_equality_resolution,[status(esa)],[f17579]) ).

fof(f22090,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
      | k4_subset_1(sk0_1206,X0,sk0_1208) = k4_subset_1(sk0_1206,sk0_1208,X0) ),
    inference(resolution,[status(thm)],[f5578,f17593]) ).

fof(f22170,plain,
    k4_subset_1(sk0_1206,k1_xboole_0,sk0_1208) = k4_subset_1(sk0_1206,sk0_1208,k1_xboole_0),
    inference(resolution,[status(thm)],[f22090,f5356]) ).

fof(f22171,plain,
    k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k4_subset_1(sk0_1206,sk0_1208,sk0_1207),
    inference(resolution,[status(thm)],[f22090,f17592]) ).

fof(f22175,plain,
    ( spl0_632
  <=> m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206)) ),
    introduced(split_symbol_definition) ).

fof(f22177,plain,
    ( ~ m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    | spl0_632 ),
    inference(component_clause,[status(thm)],[f22175]) ).

fof(f22178,plain,
    ( spl0_633
  <=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(sk0_1206)) ),
    introduced(split_symbol_definition) ).

fof(f22180,plain,
    ( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(sk0_1206))
    | spl0_633 ),
    inference(component_clause,[status(thm)],[f22178]) ).

fof(f22191,plain,
    ( spl0_636
  <=> k4_subset_1(sk0_1206,k1_xboole_0,sk0_1208) = k2_xboole_0(sk0_1208,k1_xboole_0) ),
    introduced(split_symbol_definition) ).

fof(f22192,plain,
    ( k4_subset_1(sk0_1206,k1_xboole_0,sk0_1208) = k2_xboole_0(sk0_1208,k1_xboole_0)
    | ~ spl0_636 ),
    inference(component_clause,[status(thm)],[f22191]) ).

fof(f22194,plain,
    ( ~ m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    | ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(sk0_1206))
    | k4_subset_1(sk0_1206,k1_xboole_0,sk0_1208) = k2_xboole_0(sk0_1208,k1_xboole_0) ),
    inference(paramodulation,[status(thm)],[f22170,f5583]) ).

fof(f22195,plain,
    ( ~ spl0_632
    | ~ spl0_633
    | spl0_636 ),
    inference(split_clause,[status(thm)],[f22194,f22175,f22178,f22191]) ).

fof(f22196,plain,
    ( $false
    | spl0_633 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22180,f5356]) ).

fof(f22197,plain,
    spl0_633,
    inference(contradiction_clause,[status(thm)],[f22196]) ).

fof(f22198,plain,
    ( $false
    | spl0_632 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22177,f17593]) ).

fof(f22199,plain,
    spl0_632,
    inference(contradiction_clause,[status(thm)],[f22198]) ).

fof(f22211,plain,
    ( spl0_639
  <=> k2_xboole_0(sk0_1208,k1_xboole_0) = k2_xboole_0(k1_xboole_0,sk0_1208) ),
    introduced(split_symbol_definition) ).

fof(f22212,plain,
    ( k2_xboole_0(sk0_1208,k1_xboole_0) = k2_xboole_0(k1_xboole_0,sk0_1208)
    | ~ spl0_639 ),
    inference(component_clause,[status(thm)],[f22211]) ).

fof(f22214,plain,
    ( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(sk0_1206))
    | ~ m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    | k2_xboole_0(sk0_1208,k1_xboole_0) = k2_xboole_0(k1_xboole_0,sk0_1208)
    | ~ spl0_636 ),
    inference(paramodulation,[status(thm)],[f22192,f5583]) ).

fof(f22215,plain,
    ( ~ spl0_633
    | ~ spl0_632
    | spl0_639
    | ~ spl0_636 ),
    inference(split_clause,[status(thm)],[f22214,f22178,f22175,f22211,f22191]) ).

fof(f22246,plain,
    ( spl0_644
  <=> m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206)) ),
    introduced(split_symbol_definition) ).

fof(f22248,plain,
    ( ~ m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206))
    | spl0_644 ),
    inference(component_clause,[status(thm)],[f22246]) ).

fof(f22259,plain,
    ( spl0_647
  <=> k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k2_xboole_0(sk0_1208,sk0_1207) ),
    introduced(split_symbol_definition) ).

fof(f22260,plain,
    ( k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k2_xboole_0(sk0_1208,sk0_1207)
    | ~ spl0_647 ),
    inference(component_clause,[status(thm)],[f22259]) ).

fof(f22262,plain,
    ( ~ m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    | ~ m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206))
    | k4_subset_1(sk0_1206,sk0_1207,sk0_1208) = k2_xboole_0(sk0_1208,sk0_1207) ),
    inference(paramodulation,[status(thm)],[f22171,f5583]) ).

fof(f22263,plain,
    ( ~ spl0_632
    | ~ spl0_644
    | spl0_647 ),
    inference(split_clause,[status(thm)],[f22262,f22175,f22246,f22259]) ).

fof(f22264,plain,
    ( $false
    | spl0_644 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22248,f17592]) ).

fof(f22265,plain,
    spl0_644,
    inference(contradiction_clause,[status(thm)],[f22264]) ).

fof(f22267,plain,
    ( k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(sk0_1208,sk0_1207),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
    | ~ spl0_647 ),
    inference(backward_demodulation,[status(thm)],[f22260,f17596]) ).

fof(f22278,plain,
    ( spl0_650
  <=> k2_xboole_0(sk0_1208,sk0_1207) = k2_xboole_0(sk0_1207,sk0_1208) ),
    introduced(split_symbol_definition) ).

fof(f22279,plain,
    ( k2_xboole_0(sk0_1208,sk0_1207) = k2_xboole_0(sk0_1207,sk0_1208)
    | ~ spl0_650 ),
    inference(component_clause,[status(thm)],[f22278]) ).

fof(f22281,plain,
    ( ~ m1_subset_1(sk0_1207,k1_zfmisc_1(sk0_1206))
    | ~ m1_subset_1(sk0_1208,k1_zfmisc_1(sk0_1206))
    | k2_xboole_0(sk0_1208,sk0_1207) = k2_xboole_0(sk0_1207,sk0_1208)
    | ~ spl0_647 ),
    inference(paramodulation,[status(thm)],[f22260,f5583]) ).

fof(f22282,plain,
    ( ~ spl0_644
    | ~ spl0_632
    | spl0_650
    | ~ spl0_647 ),
    inference(split_clause,[status(thm)],[f22281,f22246,f22175,f22278,f22259]) ).

fof(f22343,plain,
    ( k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(sk0_1207,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
    | ~ spl0_650
    | ~ spl0_647 ),
    inference(forward_demodulation,[status(thm)],[f22279,f22267]) ).

fof(f23124,plain,
    ! [X0] : r1_tarski(k1_xboole_0,X0),
    inference(resolution,[status(thm)],[f4528,f20867]) ).

fof(f23389,plain,
    ! [X0] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
    inference(resolution,[status(thm)],[f23124,f20884]) ).

fof(f23477,plain,
    ! [X0] : r2_hidden(k1_tarski(k1_xboole_0),k3_pua2mss1(k1_zfmisc_1(X0))),
    inference(resolution,[status(thm)],[f23389,f21729]) ).

fof(f23518,plain,
    ! [X0] : ~ r2_hidden(k3_pua2mss1(k1_zfmisc_1(X0)),k1_tarski(k1_xboole_0)),
    inference(resolution,[status(thm)],[f23477,f4501]) ).

fof(f23804,plain,
    ( spl0_743
  <=> k1_zfmisc_1(sk0_118) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f23805,plain,
    ( k1_zfmisc_1(sk0_118) = k1_xboole_0
    | ~ spl0_743 ),
    inference(component_clause,[status(thm)],[f23804]) ).

fof(f23862,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(sk0_1206))
      | k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(X0)) != k1_xboole_0
      | X0 = k1_xboole_0 ),
    inference(resolution,[status(thm)],[f17578,f17594]) ).

fof(f23868,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
      | k4_relset_2(k1_zfmisc_1(X0),X2,k6_relset_2(X2,X0,X1),k1_xboole_0) = k1_xboole_0 ),
    inference(forward_demodulation,[status(thm)],[f21730,f21733]) ).

fof(f23869,plain,
    ! [X0,X1,X2] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
      | k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X0),k1_xboole_0) = k1_xboole_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f23868,f5356]) ).

fof(f23873,plain,
    k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k1_xboole_0) = k1_xboole_0,
    inference(resolution,[status(thm)],[f23869,f17594]) ).

fof(f24184,plain,
    ( spl0_763
  <=> k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24186,plain,
    ( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) != k1_xboole_0
    | spl0_763 ),
    inference(component_clause,[status(thm)],[f24184]) ).

fof(f24187,plain,
    ( spl0_764
  <=> sk0_1207 = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24188,plain,
    ( sk0_1207 = k1_xboole_0
    | ~ spl0_764 ),
    inference(component_clause,[status(thm)],[f24187]) ).

fof(f24190,plain,
    ( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(sk0_1207)) != k1_xboole_0
    | sk0_1207 = k1_xboole_0 ),
    inference(resolution,[status(thm)],[f23862,f17592]) ).

fof(f24191,plain,
    ( ~ spl0_763
    | spl0_764 ),
    inference(split_clause,[status(thm)],[f24190,f24184,f24187]) ).

fof(f24194,plain,
    ( spl0_765
  <=> k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(k1_xboole_0)) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24196,plain,
    ( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k3_pua2mss1(k1_xboole_0)) != k1_xboole_0
    | spl0_765 ),
    inference(component_clause,[status(thm)],[f24194]) ).

fof(f24202,plain,
    ( k1_xboole_0 != k1_xboole_0
    | spl0_763 ),
    inference(forward_demodulation,[status(thm)],[f17595,f24186]) ).

fof(f24203,plain,
    ( $false
    | spl0_763 ),
    inference(trivial_equality_resolution,[status(esa)],[f24202]) ).

fof(f24204,plain,
    spl0_763,
    inference(contradiction_clause,[status(thm)],[f24203]) ).

fof(f24205,plain,
    ( k4_relset_2(k1_zfmisc_1(sk0_1206),sk0_1209,k6_relset_2(sk0_1209,sk0_1206,sk0_1210),k1_xboole_0) != k1_xboole_0
    | spl0_765 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24196]) ).

fof(f24206,plain,
    ( k1_xboole_0 != k1_xboole_0
    | spl0_765 ),
    inference(forward_demodulation,[status(thm)],[f23873,f24205]) ).

fof(f24207,plain,
    ( $false
    | spl0_765 ),
    inference(trivial_equality_resolution,[status(esa)],[f24206]) ).

fof(f24208,plain,
    spl0_765,
    inference(contradiction_clause,[status(thm)],[f24207]) ).

fof(f24258,plain,
    ( k8_relset_2(sk0_1206,sk0_1209,k2_xboole_0(k1_xboole_0,sk0_1208),sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
    | ~ spl0_764
    | ~ spl0_650
    | ~ spl0_647 ),
    inference(backward_demodulation,[status(thm)],[f24188,f22343]) ).

fof(f24441,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_743 ),
    inference(paramodulation,[status(thm)],[f23805,f23518]) ).

fof(f24442,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_743 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24441]) ).

fof(f24443,plain,
    ( $false
    | ~ spl0_743 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24442,f20858]) ).

fof(f24444,plain,
    ~ spl0_743,
    inference(contradiction_clause,[status(thm)],[f24443]) ).

fof(f24455,plain,
    ( spl0_771
  <=> k1_zfmisc_1(sk0_162) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24456,plain,
    ( k1_zfmisc_1(sk0_162) = k1_xboole_0
    | ~ spl0_771 ),
    inference(component_clause,[status(thm)],[f24455]) ).

fof(f24470,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_771 ),
    inference(paramodulation,[status(thm)],[f24456,f23518]) ).

fof(f24471,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_771 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24470]) ).

fof(f24472,plain,
    ( $false
    | ~ spl0_771 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24471,f20858]) ).

fof(f24473,plain,
    ~ spl0_771,
    inference(contradiction_clause,[status(thm)],[f24472]) ).

fof(f24484,plain,
    ( spl0_773
  <=> k1_zfmisc_1(sk0_235) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24485,plain,
    ( k1_zfmisc_1(sk0_235) = k1_xboole_0
    | ~ spl0_773 ),
    inference(component_clause,[status(thm)],[f24484]) ).

fof(f24499,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_773 ),
    inference(paramodulation,[status(thm)],[f24485,f23518]) ).

fof(f24500,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_773 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24499]) ).

fof(f24501,plain,
    ( $false
    | ~ spl0_773 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24500,f20858]) ).

fof(f24502,plain,
    ~ spl0_773,
    inference(contradiction_clause,[status(thm)],[f24501]) ).

fof(f24513,plain,
    ( spl0_775
  <=> k1_zfmisc_1(sk0_279) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24514,plain,
    ( k1_zfmisc_1(sk0_279) = k1_xboole_0
    | ~ spl0_775 ),
    inference(component_clause,[status(thm)],[f24513]) ).

fof(f24528,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_775 ),
    inference(paramodulation,[status(thm)],[f24514,f23518]) ).

fof(f24529,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_775 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24528]) ).

fof(f24530,plain,
    ( $false
    | ~ spl0_775 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24529,f20858]) ).

fof(f24531,plain,
    ~ spl0_775,
    inference(contradiction_clause,[status(thm)],[f24530]) ).

fof(f24621,plain,
    ( spl0_777
  <=> k1_zfmisc_1(sk0_685) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24622,plain,
    ( k1_zfmisc_1(sk0_685) = k1_xboole_0
    | ~ spl0_777 ),
    inference(component_clause,[status(thm)],[f24621]) ).

fof(f24637,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_777 ),
    inference(paramodulation,[status(thm)],[f24622,f23518]) ).

fof(f24638,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_777 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24637]) ).

fof(f24639,plain,
    ( $false
    | ~ spl0_777 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24638,f20858]) ).

fof(f24640,plain,
    ~ spl0_777,
    inference(contradiction_clause,[status(thm)],[f24639]) ).

fof(f24645,plain,
    ( spl0_779
  <=> k1_zfmisc_1(sk0_727) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24646,plain,
    ( k1_zfmisc_1(sk0_727) = k1_xboole_0
    | ~ spl0_779 ),
    inference(component_clause,[status(thm)],[f24645]) ).

fof(f24661,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_779 ),
    inference(paramodulation,[status(thm)],[f24646,f23518]) ).

fof(f24662,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_779 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24661]) ).

fof(f24663,plain,
    ( $false
    | ~ spl0_779 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24662,f20858]) ).

fof(f24664,plain,
    ~ spl0_779,
    inference(contradiction_clause,[status(thm)],[f24663]) ).

fof(f24669,plain,
    ( spl0_781
  <=> k1_zfmisc_1(sk0_730) = k1_xboole_0 ),
    introduced(split_symbol_definition) ).

fof(f24670,plain,
    ( k1_zfmisc_1(sk0_730) = k1_xboole_0
    | ~ spl0_781 ),
    inference(component_clause,[status(thm)],[f24669]) ).

fof(f24685,plain,
    ( ~ r2_hidden(k3_pua2mss1(k1_xboole_0),k1_tarski(k1_xboole_0))
    | ~ spl0_781 ),
    inference(paramodulation,[status(thm)],[f24670,f23518]) ).

fof(f24686,plain,
    ( ~ r2_hidden(k1_xboole_0,k1_tarski(k1_xboole_0))
    | ~ spl0_781 ),
    inference(forward_demodulation,[status(thm)],[f21730,f24685]) ).

fof(f24687,plain,
    ( $false
    | ~ spl0_781 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24686,f20858]) ).

fof(f24688,plain,
    ~ spl0_781,
    inference(contradiction_clause,[status(thm)],[f24687]) ).

fof(f24821,plain,
    ( sk0_1208 = k2_xboole_0(k1_xboole_0,sk0_1208)
    | ~ spl0_639 ),
    inference(backward_demodulation,[status(thm)],[f4712,f22212]) ).

fof(f24845,plain,
    ( spl0_783
  <=> v1_xboole_0(k1_xboole_0) ),
    introduced(split_symbol_definition) ).

fof(f24847,plain,
    ( ~ v1_xboole_0(k1_xboole_0)
    | spl0_783 ),
    inference(component_clause,[status(thm)],[f24845]) ).

fof(f24855,plain,
    ( $false
    | spl0_783 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24847,f4578]) ).

fof(f24856,plain,
    spl0_783,
    inference(contradiction_clause,[status(thm)],[f24855]) ).

fof(f25084,plain,
    ( k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210) != k8_relset_2(sk0_1206,sk0_1209,sk0_1208,sk0_1210)
    | ~ spl0_639
    | ~ spl0_764
    | ~ spl0_650
    | ~ spl0_647 ),
    inference(forward_demodulation,[status(thm)],[f24821,f24258]) ).

fof(f25085,plain,
    ( $false
    | ~ spl0_639
    | ~ spl0_764
    | ~ spl0_650
    | ~ spl0_647 ),
    inference(trivial_equality_resolution,[status(esa)],[f25084]) ).

fof(f25086,plain,
    ( ~ spl0_639
    | ~ spl0_764
    | ~ spl0_650
    | ~ spl0_647 ),
    inference(contradiction_clause,[status(thm)],[f25085]) ).

fof(f25087,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f22195,f22197,f22199,f22215,f22263,f22265,f22282,f24191,f24204,f24208,f24444,f24473,f24502,f24531,f24640,f24664,f24688,f24856,f25086]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU427+2 : 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 : n006.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 : Mon Apr 29 19:46:06 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.40/0.61  % Drodi V3.6.0
% 4.50/1.22  % Refutation found
% 4.50/1.22  % SZS status Theorem for theBenchmark: Theorem is valid
% 4.50/1.22  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.33/1.30  % Elapsed time: 0.948319 seconds
% 5.33/1.30  % CPU time: 5.267244 seconds
% 5.33/1.30  % Total memory used: 710.490 MB
% 5.33/1.30  % Net memory used: 706.429 MB
%------------------------------------------------------------------------------