%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU200+2 : 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 : Tue Apr 30 20:41:28 EDT 2024

% Result   : Theorem 0.11s 0.36s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   35 (   6 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   67 (  28   ~;  24   |;   5   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  26   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,axiom,
    ! [A,B] :
      ( relation(B)
     => relation(relation_rng_restriction(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,lemma,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng_restriction(A,B),B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,conjecture,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    ~ ! [A,B] :
        ( relation(B)
       => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
    inference(negated_conjecture,[status(cth)],[f115]) ).

fof(f129,lemma,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( relation(B)
         => ( subset(A,B)
           => ( subset(relation_dom(A),relation_dom(B))
              & subset(relation_rng(A),relation_rng(B)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f435,plain,
    ! [A,B] :
      ( ~ relation(B)
      | relation(relation_rng_restriction(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f61]) ).

fof(f436,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : relation(relation_rng_restriction(A,B)) ),
    inference(miniscoping,[status(esa)],[f435]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_rng_restriction(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f436]) ).

fof(f567,plain,
    ! [A,B] :
      ( ~ relation(B)
      | subset(relation_rng_restriction(A,B),B) ),
    inference(pre_NNF_transformation,[status(esa)],[f114]) ).

fof(f568,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : subset(relation_rng_restriction(A,B),B) ),
    inference(miniscoping,[status(esa)],[f567]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_rng_restriction(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f568]) ).

fof(f570,plain,
    ? [A,B] :
      ( relation(B)
      & ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f116]) ).

fof(f571,plain,
    ? [B] :
      ( relation(B)
      & ? [A] : ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
    inference(miniscoping,[status(esa)],[f570]) ).

fof(f572,plain,
    ( relation(sk0_53)
    & ~ subset(relation_rng(relation_rng_restriction(sk0_54,sk0_53)),relation_rng(sk0_53)) ),
    inference(skolemization,[status(esa)],[f571]) ).

fof(f573,plain,
    relation(sk0_53),
    inference(cnf_transformation,[status(esa)],[f572]) ).

fof(f574,plain,
    ~ subset(relation_rng(relation_rng_restriction(sk0_54,sk0_53)),relation_rng(sk0_53)),
    inference(cnf_transformation,[status(esa)],[f572]) ).

fof(f606,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] :
          ( ~ relation(B)
          | ~ subset(A,B)
          | ( subset(relation_dom(A),relation_dom(B))
            & subset(relation_rng(A),relation_rng(B)) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f129]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ subset(X0,X1)
      | subset(relation_rng(X0),relation_rng(X1)) ),
    inference(cnf_transformation,[status(esa)],[f606]) ).

fof(f916,plain,
    ( spl0_3
  <=> relation(relation_rng_restriction(sk0_54,sk0_53)) ),
    introduced(split_symbol_definition) ).

fof(f918,plain,
    ( ~ relation(relation_rng_restriction(sk0_54,sk0_53))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f916]) ).

fof(f919,plain,
    ( spl0_4
  <=> relation(sk0_53) ),
    introduced(split_symbol_definition) ).

fof(f921,plain,
    ( ~ relation(sk0_53)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f919]) ).

fof(f922,plain,
    ( spl0_5
  <=> subset(relation_rng_restriction(sk0_54,sk0_53),sk0_53) ),
    introduced(split_symbol_definition) ).

fof(f924,plain,
    ( ~ subset(relation_rng_restriction(sk0_54,sk0_53),sk0_53)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f922]) ).

fof(f925,plain,
    ( ~ relation(relation_rng_restriction(sk0_54,sk0_53))
    | ~ relation(sk0_53)
    | ~ subset(relation_rng_restriction(sk0_54,sk0_53),sk0_53) ),
    inference(resolution,[status(thm)],[f608,f574]) ).

fof(f926,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f925,f916,f919,f922]) ).

fof(f942,plain,
    ( ~ relation(sk0_53)
    | spl0_5 ),
    inference(resolution,[status(thm)],[f924,f569]) ).

fof(f943,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f942,f573]) ).

fof(f944,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f943]) ).

fof(f955,plain,
    ( ~ relation(sk0_53)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f918,f437]) ).

fof(f956,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f955,f573]) ).

fof(f957,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f956]) ).

fof(f958,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f921,f573]) ).

fof(f959,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f958]) ).

fof(f960,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f926,f944,f957,f959]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 20:07:10 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.36  % Refutation found
% 0.11/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.035041 seconds
% 0.11/0.37  % CPU time: 0.068880 seconds
% 0.11/0.37  % Total memory used: 18.546 MB
% 0.11/0.37  % Net memory used: 18.501 MB
%------------------------------------------------------------------------------