%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:36:28 EDT 2023

% Result   : Theorem 0.11s 0.31s
% Output   : CNFRefutation 0.24s
% 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(f101,axiom,
    ! [A,B] :
      ( relation(B)
     => relation(relation_rng_restriction(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f146,conjecture,
    ! [A,B] :
      ( relation(B)
     => subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f147,negated_conjecture,
    ~ ! [A,B] :
        ( relation(B)
       => subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
    inference(negated_conjecture,[status(cth)],[f146]) ).

fof(f186,lemma,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng_restriction(A,B),B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f223,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(f765,plain,
    ! [A,B] :
      ( ~ relation(B)
      | relation(relation_rng_restriction(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f101]) ).

fof(f766,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : relation(relation_rng_restriction(A,B)) ),
    inference(miniscoping,[status(esa)],[f765]) ).

fof(f767,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_rng_restriction(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f766]) ).

fof(f877,plain,
    ? [A,B] :
      ( relation(B)
      & ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f147]) ).

fof(f878,plain,
    ? [B] :
      ( relation(B)
      & ? [A] : ~ subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
    inference(miniscoping,[status(esa)],[f877]) ).

fof(f879,plain,
    ( relation(sk0_78)
    & ~ subset(relation_dom(relation_rng_restriction(sk0_79,sk0_78)),relation_dom(sk0_78)) ),
    inference(skolemization,[status(esa)],[f878]) ).

fof(f880,plain,
    relation(sk0_78),
    inference(cnf_transformation,[status(esa)],[f879]) ).

fof(f881,plain,
    ~ subset(relation_dom(relation_rng_restriction(sk0_79,sk0_78)),relation_dom(sk0_78)),
    inference(cnf_transformation,[status(esa)],[f879]) ).

fof(f1028,plain,
    ! [A,B] :
      ( ~ relation(B)
      | subset(relation_rng_restriction(A,B),B) ),
    inference(pre_NNF_transformation,[status(esa)],[f186]) ).

fof(f1029,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : subset(relation_rng_restriction(A,B),B) ),
    inference(miniscoping,[status(esa)],[f1028]) ).

fof(f1030,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_rng_restriction(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f1029]) ).

fof(f1146,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)],[f223]) ).

fof(f1147,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ subset(X0,X1)
      | subset(relation_dom(X0),relation_dom(X1)) ),
    inference(cnf_transformation,[status(esa)],[f1146]) ).

fof(f1602,plain,
    ( spl0_2
  <=> relation(relation_rng_restriction(sk0_79,sk0_78)) ),
    introduced(split_symbol_definition) ).

fof(f1604,plain,
    ( ~ relation(relation_rng_restriction(sk0_79,sk0_78))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f1602]) ).

fof(f1605,plain,
    ( spl0_3
  <=> relation(sk0_78) ),
    introduced(split_symbol_definition) ).

fof(f1607,plain,
    ( ~ relation(sk0_78)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f1605]) ).

fof(f1608,plain,
    ( spl0_4
  <=> subset(relation_rng_restriction(sk0_79,sk0_78),sk0_78) ),
    introduced(split_symbol_definition) ).

fof(f1610,plain,
    ( ~ subset(relation_rng_restriction(sk0_79,sk0_78),sk0_78)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f1608]) ).

fof(f1611,plain,
    ( ~ relation(relation_rng_restriction(sk0_79,sk0_78))
    | ~ relation(sk0_78)
    | ~ subset(relation_rng_restriction(sk0_79,sk0_78),sk0_78) ),
    inference(resolution,[status(thm)],[f1147,f881]) ).

fof(f1612,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f1611,f1602,f1605,f1608]) ).

fof(f1616,plain,
    ( ~ relation(sk0_78)
    | spl0_4 ),
    inference(resolution,[status(thm)],[f1610,f1030]) ).

fof(f1617,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1616,f880]) ).

fof(f1618,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f1617]) ).

fof(f1619,plain,
    ( ~ relation(sk0_78)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f1604,f767]) ).

fof(f1620,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1619,f880]) ).

fof(f1621,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f1620]) ).

fof(f1622,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1607,f880]) ).

fof(f1623,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f1622]) ).

fof(f1624,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1612,f1618,f1621,f1623]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue May 30 09:15:46 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.08/0.30  % Drodi V3.5.1
% 0.11/0.31  % Refutation found
% 0.11/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.62  % Elapsed time: 0.127685 seconds
% 0.24/0.62  % CPU time: 0.051280 seconds
% 0.24/0.62  % Memory used: 5.288 MB
%------------------------------------------------------------------------------