TSTP Solution File: SEU197+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 12:36:13 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   81 (   5 unt;   0 def)
%            Number of atoms       :  308 (  21 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  380 ( 153   ~; 162   |;  39   &)
%                                         (  19 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  145 (; 124   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B] :
      ( relation(B)
     => ! [C] :
          ( relation(C)
         => ( C = relation_rng_restriction(A,B)
          <=> ! [D,E] :
                ( in(ordered_pair(D,E),C)
              <=> ( in(E,A)
                  & in(ordered_pair(D,E),B) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B] :
      ( relation(B)
     => relation(relation_rng_restriction(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,conjecture,
    ! [A,B,C] :
      ( relation(C)
     => ( in(A,relation_rng(relation_rng_restriction(B,C)))
      <=> ( in(A,B)
          & in(A,relation_rng(C)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ~ ! [A,B,C] :
        ( relation(C)
       => ( in(A,relation_rng(relation_rng_restriction(B,C)))
        <=> ( in(A,B)
            & in(A,relation_rng(C)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f26]) ).

fof(f38,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ! [C] :
          ( ~ relation(C)
          | ( C = relation_rng_restriction(A,B)
          <=> ! [D,E] :
                ( in(ordered_pair(D,E),C)
              <=> ( in(E,A)
                  & in(ordered_pair(D,E),B) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f39,plain,
    ! [A,B] :
      ( ~ relation(B)
      | ! [C] :
          ( ~ relation(C)
          | ( ( C != relation_rng_restriction(A,B)
              | ! [D,E] :
                  ( ( ~ in(ordered_pair(D,E),C)
                    | ( in(E,A)
                      & in(ordered_pair(D,E),B) ) )
                  & ( in(ordered_pair(D,E),C)
                    | ~ in(E,A)
                    | ~ in(ordered_pair(D,E),B) ) ) )
            & ( C = relation_rng_restriction(A,B)
              | ? [D,E] :
                  ( ( ~ in(ordered_pair(D,E),C)
                    | ~ in(E,A)
                    | ~ in(ordered_pair(D,E),B) )
                  & ( in(ordered_pair(D,E),C)
                    | ( in(E,A)
                      & in(ordered_pair(D,E),B) ) ) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [C] :
          ( ~ relation(C)
          | ( ! [A] :
                ( C != relation_rng_restriction(A,B)
                | ( ! [D,E] :
                      ( ~ in(ordered_pair(D,E),C)
                      | ( in(E,A)
                        & in(ordered_pair(D,E),B) ) )
                  & ! [D,E] :
                      ( in(ordered_pair(D,E),C)
                      | ~ in(E,A)
                      | ~ in(ordered_pair(D,E),B) ) ) )
            & ! [A] :
                ( C = relation_rng_restriction(A,B)
                | ? [D,E] :
                    ( ( ~ in(ordered_pair(D,E),C)
                      | ~ in(E,A)
                      | ~ in(ordered_pair(D,E),B) )
                    & ( in(ordered_pair(D,E),C)
                      | ( in(E,A)
                        & in(ordered_pair(D,E),B) ) ) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f41,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [C] :
          ( ~ relation(C)
          | ( ! [A] :
                ( C != relation_rng_restriction(A,B)
                | ( ! [D,E] :
                      ( ~ in(ordered_pair(D,E),C)
                      | ( in(E,A)
                        & in(ordered_pair(D,E),B) ) )
                  & ! [D,E] :
                      ( in(ordered_pair(D,E),C)
                      | ~ in(E,A)
                      | ~ in(ordered_pair(D,E),B) ) ) )
            & ! [A] :
                ( C = relation_rng_restriction(A,B)
                | ( ( ~ in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)
                    | ~ in(sk0_1(A,C,B),A)
                    | ~ in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B) )
                  & ( in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)
                    | ( in(sk0_1(A,C,B),A)
                      & in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B) ) ) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f40]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | X1 != relation_rng_restriction(X2,X0)
      | ~ in(ordered_pair(X3,X4),X1)
      | in(X4,X2) ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | X1 != relation_rng_restriction(X2,X0)
      | ~ in(ordered_pair(X3,X4),X1)
      | in(ordered_pair(X3,X4),X0) ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | X1 != relation_rng_restriction(X2,X0)
      | in(ordered_pair(X3,X4),X1)
      | ~ in(X4,X2)
      | ~ in(ordered_pair(X3,X4),X0) ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f48,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f49,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( ( B != relation_rng(A)
            | ! [C] :
                ( ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
          & ( B = relation_rng(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f48]) ).

fof(f50,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_rng(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
        & ! [B] :
            ( B = relation_rng(A)
            | ? [C] :
                ( ( ~ in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) )
                & ( in(C,B)
                  | ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f49]) ).

fof(f51,plain,
    ! [A] :
      ( ~ relation(A)
      | ( ! [B] :
            ( B != relation_rng(A)
            | ( ! [C] :
                  ( ~ in(C,B)
                  | in(ordered_pair(sk0_2(C,B,A),C),A) )
              & ! [C] :
                  ( in(C,B)
                  | ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
        & ! [B] :
            ( B = relation_rng(A)
            | ( ( ~ in(sk0_3(B,A),B)
                | ! [D] : ~ in(ordered_pair(D,sk0_3(B,A)),A) )
              & ( in(sk0_3(B,A),B)
                | in(ordered_pair(sk0_4(B,A),sk0_3(B,A)),A) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f50]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | X1 != relation_rng(X0)
      | ~ in(X2,X1)
      | in(ordered_pair(sk0_2(X2,X1,X0),X2),X0) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | X1 != relation_rng(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X3,X2),X0) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f57,plain,
    ! [A,B] :
      ( ~ relation(B)
      | relation(relation_rng_restriction(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f58,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : relation(relation_rng_restriction(A,B)) ),
    inference(miniscoping,[status(esa)],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_rng_restriction(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f83,plain,
    ? [A,B,C] :
      ( relation(C)
      & ( in(A,relation_rng(relation_rng_restriction(B,C)))
      <~> ( in(A,B)
          & in(A,relation_rng(C)) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f84,plain,
    ? [A,B,C] :
      ( relation(C)
      & ( in(A,relation_rng(relation_rng_restriction(B,C)))
        | ( in(A,B)
          & in(A,relation_rng(C)) ) )
      & ( ~ in(A,relation_rng(relation_rng_restriction(B,C)))
        | ~ in(A,B)
        | ~ in(A,relation_rng(C)) ) ),
    inference(NNF_transformation,[status(esa)],[f83]) ).

fof(f85,plain,
    ? [C] :
      ( relation(C)
      & ? [A,B] :
          ( ( in(A,relation_rng(relation_rng_restriction(B,C)))
            | ( in(A,B)
              & in(A,relation_rng(C)) ) )
          & ( ~ in(A,relation_rng(relation_rng_restriction(B,C)))
            | ~ in(A,B)
            | ~ in(A,relation_rng(C)) ) ) ),
    inference(miniscoping,[status(esa)],[f84]) ).

fof(f86,plain,
    ( relation(sk0_10)
    & ( in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
      | ( in(sk0_11,sk0_12)
        & in(sk0_11,relation_rng(sk0_10)) ) )
    & ( ~ in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
      | ~ in(sk0_11,sk0_12)
      | ~ in(sk0_11,relation_rng(sk0_10)) ) ),
    inference(skolemization,[status(esa)],[f85]) ).

fof(f87,plain,
    relation(sk0_10),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f88,plain,
    ( in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | in(sk0_11,sk0_12) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f89,plain,
    ( in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | in(sk0_11,relation_rng(sk0_10)) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f90,plain,
    ( ~ in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | ~ in(sk0_11,sk0_12)
    | ~ in(sk0_11,relation_rng(sk0_10)) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f103,plain,
    ( spl0_0
  <=> in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10))) ),
    introduced(split_symbol_definition) ).

fof(f104,plain,
    ( in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f103]) ).

fof(f106,plain,
    ( spl0_1
  <=> in(sk0_11,sk0_12) ),
    introduced(split_symbol_definition) ).

fof(f107,plain,
    ( in(sk0_11,sk0_12)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f106]) ).

fof(f109,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f88,f103,f106]) ).

fof(f110,plain,
    ( spl0_2
  <=> in(sk0_11,relation_rng(sk0_10)) ),
    introduced(split_symbol_definition) ).

fof(f111,plain,
    ( in(sk0_11,relation_rng(sk0_10))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f110]) ).

fof(f113,plain,
    ( spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f89,f103,f110]) ).

fof(f114,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f90,f103,f106,f110]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | ~ relation(relation_rng_restriction(X1,X0))
      | ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
      | in(X3,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f42]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | ~ relation(relation_rng_restriction(X1,X0))
      | ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
      | in(ordered_pair(X2,X3),X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f43]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | ~ relation(relation_rng_restriction(X1,X0))
      | in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
      | ~ in(X3,X1)
      | ~ in(ordered_pair(X2,X3),X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f44]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ in(X1,relation_rng(X0))
      | in(ordered_pair(sk0_2(X1,relation_rng(X0),X0),X1),X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f52]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | in(X1,relation_rng(X0))
      | ~ in(ordered_pair(X2,X1),X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f53]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
      | ~ in(X2,X3)
      | ~ in(ordered_pair(X1,X2),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f117,f59]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
      | in(ordered_pair(X1,X2),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f116,f59]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
      | in(X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f115,f59]) ).

fof(f123,plain,
    ! [X0] : relation(relation_rng_restriction(X0,sk0_10)),
    inference(resolution,[status(thm)],[f59,f87]) ).

fof(f146,plain,
    ( spl0_3
  <=> relation(relation_rng_restriction(sk0_12,sk0_10)) ),
    introduced(split_symbol_definition) ).

fof(f148,plain,
    ( ~ relation(relation_rng_restriction(sk0_12,sk0_10))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f146]) ).

fof(f149,plain,
    ( spl0_4
  <=> in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),relation_rng_restriction(sk0_12,sk0_10)) ),
    introduced(split_symbol_definition) ).

fof(f150,plain,
    ( in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),relation_rng_restriction(sk0_12,sk0_10))
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f149]) ).

fof(f152,plain,
    ( ~ relation(relation_rng_restriction(sk0_12,sk0_10))
    | in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),relation_rng_restriction(sk0_12,sk0_10))
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f104,f118]) ).

fof(f153,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f152,f146,f149,f103]) ).

fof(f158,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f148,f123]) ).

fof(f159,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f158]) ).

fof(f165,plain,
    ( spl0_6
  <=> relation(sk0_10) ),
    introduced(split_symbol_definition) ).

fof(f167,plain,
    ( ~ relation(sk0_10)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f168,plain,
    ( spl0_7
  <=> in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),sk0_10) ),
    introduced(split_symbol_definition) ).

fof(f169,plain,
    ( in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),sk0_10)
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,plain,
    ( ~ relation(sk0_10)
    | in(ordered_pair(sk0_2(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)),relation_rng_restriction(sk0_12,sk0_10)),sk0_11),sk0_10)
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f150,f121]) ).

fof(f172,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f171,f165,f168,f149]) ).

fof(f173,plain,
    ( ~ relation(sk0_10)
    | in(sk0_11,sk0_12)
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f150,f122]) ).

fof(f174,plain,
    ( ~ spl0_6
    | spl0_1
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f173,f165,f106,f149]) ).

fof(f175,plain,
    ( ~ relation(relation_rng_restriction(sk0_12,sk0_10))
    | in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f150,f119]) ).

fof(f176,plain,
    ( ~ spl0_3
    | spl0_0
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f175,f146,f103,f149]) ).

fof(f181,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f167,f87]) ).

fof(f182,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f181]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(X1,sk0_11),relation_rng_restriction(sk0_12,X0))
      | ~ in(ordered_pair(X1,sk0_11),X0)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f107,f120]) ).

fof(f199,plain,
    ( ~ relation(sk0_10)
    | in(sk0_11,relation_rng(sk0_10))
    | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f169,f119]) ).

fof(f200,plain,
    ( ~ spl0_6
    | spl0_2
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f199,f165,f110,f168]) ).

fof(f205,plain,
    ( spl0_10
  <=> in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),sk0_10) ),
    introduced(split_symbol_definition) ).

fof(f206,plain,
    ( in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),sk0_10)
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f205]) ).

fof(f208,plain,
    ( ~ relation(sk0_10)
    | in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),sk0_10)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f111,f118]) ).

fof(f209,plain,
    ( ~ spl0_6
    | spl0_10
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f208,f165,f205,f110]) ).

fof(f214,plain,
    ( spl0_11
  <=> in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),relation_rng_restriction(sk0_12,sk0_10)) ),
    introduced(split_symbol_definition) ).

fof(f215,plain,
    ( in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),relation_rng_restriction(sk0_12,sk0_10))
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f214]) ).

fof(f217,plain,
    ( ~ relation(sk0_10)
    | in(ordered_pair(sk0_2(sk0_11,relation_rng(sk0_10),sk0_10),sk0_11),relation_rng_restriction(sk0_12,sk0_10))
    | ~ spl0_10
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f206,f185]) ).

fof(f218,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_10
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f217,f165,f214,f205,f106]) ).

fof(f234,plain,
    ( ~ relation(relation_rng_restriction(sk0_12,sk0_10))
    | in(sk0_11,relation_rng(relation_rng_restriction(sk0_12,sk0_10)))
    | ~ spl0_11 ),
    inference(resolution,[status(thm)],[f215,f119]) ).

fof(f235,plain,
    ( ~ spl0_3
    | spl0_0
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f234,f146,f103,f214]) ).

fof(f240,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f109,f113,f114,f153,f159,f172,f174,f176,f182,f200,f209,f218,f235]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.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 09:28:08 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
% 0.13/0.38  % Elapsed time: 0.036840 seconds
% 0.13/0.38  % CPU time: 0.116546 seconds
% 0.13/0.38  % Memory used: 20.942 MB
%------------------------------------------------------------------------------