%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 0.12s 0.38s
% Output   : CNFRefutation 0.20s
% 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(f58,axiom,
    ! [A,B] :
      ( relation(A)
     => relation(relation_dom_restriction(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f122,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f177,lemma,
    ! [A,B] :
      ( relation(B)
     => subset(relation_dom_restriction(B,A),B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f184,conjecture,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f185,negated_conjecture,
    ~ ! [A,B] :
        ( relation(B)
       => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(negated_conjecture,[status(cth)],[f184]) ).

fof(f414,plain,
    ! [A,B] :
      ( ~ relation(A)
      | relation(relation_dom_restriction(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f58]) ).

fof(f415,plain,
    ! [A] :
      ( ~ relation(A)
      | ! [B] : relation(relation_dom_restriction(A,B)) ),
    inference(miniscoping,[status(esa)],[f414]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f570,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)],[f122]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ subset(X0,X1)
      | subset(relation_rng(X0),relation_rng(X1)) ),
    inference(cnf_transformation,[status(esa)],[f570]) ).

fof(f723,plain,
    ! [A,B] :
      ( ~ relation(B)
      | subset(relation_dom_restriction(B,A),B) ),
    inference(pre_NNF_transformation,[status(esa)],[f177]) ).

fof(f724,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : subset(relation_dom_restriction(B,A),B) ),
    inference(miniscoping,[status(esa)],[f723]) ).

fof(f725,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_dom_restriction(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f724]) ).

fof(f742,plain,
    ? [A,B] :
      ( relation(B)
      & ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f185]) ).

fof(f743,plain,
    ? [B] :
      ( relation(B)
      & ? [A] : ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(miniscoping,[status(esa)],[f742]) ).

fof(f744,plain,
    ( relation(sk0_57)
    & ~ subset(relation_rng(relation_dom_restriction(sk0_57,sk0_58)),relation_rng(sk0_57)) ),
    inference(skolemization,[status(esa)],[f743]) ).

fof(f745,plain,
    relation(sk0_57),
    inference(cnf_transformation,[status(esa)],[f744]) ).

fof(f746,plain,
    ~ subset(relation_rng(relation_dom_restriction(sk0_57,sk0_58)),relation_rng(sk0_57)),
    inference(cnf_transformation,[status(esa)],[f744]) ).

fof(f884,plain,
    ( spl0_4
  <=> relation(relation_dom_restriction(sk0_57,sk0_58)) ),
    introduced(split_symbol_definition) ).

fof(f886,plain,
    ( ~ relation(relation_dom_restriction(sk0_57,sk0_58))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f887,plain,
    ( spl0_5
  <=> relation(sk0_57) ),
    introduced(split_symbol_definition) ).

fof(f889,plain,
    ( ~ relation(sk0_57)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f887]) ).

fof(f890,plain,
    ( spl0_6
  <=> subset(relation_dom_restriction(sk0_57,sk0_58),sk0_57) ),
    introduced(split_symbol_definition) ).

fof(f892,plain,
    ( ~ subset(relation_dom_restriction(sk0_57,sk0_58),sk0_57)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f890]) ).

fof(f893,plain,
    ( ~ relation(relation_dom_restriction(sk0_57,sk0_58))
    | ~ relation(sk0_57)
    | ~ subset(relation_dom_restriction(sk0_57,sk0_58),sk0_57) ),
    inference(resolution,[status(thm)],[f572,f746]) ).

fof(f894,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f893,f884,f887,f890]) ).

fof(f908,plain,
    ( ~ relation(sk0_57)
    | spl0_6 ),
    inference(resolution,[status(thm)],[f892,f725]) ).

fof(f909,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f908,f745]) ).

fof(f910,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f909]) ).

fof(f911,plain,
    ( ~ relation(sk0_57)
    | spl0_4 ),
    inference(resolution,[status(thm)],[f886,f416]) ).

fof(f912,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f911,f745]) ).

fof(f913,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f912]) ).

fof(f914,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f889,f745]) ).

fof(f915,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f914]) ).

fof(f916,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f894,f910,f913,f915]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:35:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  % Drodi V3.5.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.61  % Elapsed time: 0.034861 seconds
% 0.20/0.61  % CPU time: 0.039451 seconds
% 0.20/0.61  % Memory used: 4.445 MB
%------------------------------------------------------------------------------