%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU040+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:40:55 EDT 2024

% Result   : Theorem 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   4 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   54 (  21   ~;  17   |;  10   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  20   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,conjecture,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
        & subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ~ ! [A,B] :
        ( ( relation(B)
          & function(B) )
       => ( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
          & subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    inference(negated_conjecture,[status(cth)],[f36]) ).

fof(f38,axiom,
    ! [A,B] :
      ( relation(B)
     => subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f135,plain,
    ? [A,B] :
      ( relation(B)
      & function(B)
      & ( ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
        | ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f37]) ).

fof(f136,plain,
    ? [B] :
      ( relation(B)
      & function(B)
      & ( ? [A] : ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
        | ? [A] : ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    inference(miniscoping,[status(esa)],[f135]) ).

fof(f137,plain,
    ( relation(sk0_11)
    & function(sk0_11)
    & ( ~ subset(relation_dom(relation_dom_restriction(sk0_11,sk0_12)),relation_dom(sk0_11))
      | ~ subset(relation_rng(relation_dom_restriction(sk0_11,sk0_13)),relation_rng(sk0_11)) ) ),
    inference(skolemization,[status(esa)],[f136]) ).

fof(f138,plain,
    relation(sk0_11),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f140,plain,
    ( ~ subset(relation_dom(relation_dom_restriction(sk0_11,sk0_12)),relation_dom(sk0_11))
    | ~ subset(relation_rng(relation_dom_restriction(sk0_11,sk0_13)),relation_rng(sk0_11)) ),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f141,plain,
    ! [A,B] :
      ( ~ relation(B)
      | subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f142,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
    inference(miniscoping,[status(esa)],[f141]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0)) ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f144,plain,
    ! [A,B] :
      ( ~ relation(B)
      | subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f39]) ).

fof(f145,plain,
    ! [B] :
      ( ~ relation(B)
      | ! [A] : subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    inference(miniscoping,[status(esa)],[f144]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f147,plain,
    ( spl0_0
  <=> subset(relation_dom(relation_dom_restriction(sk0_11,sk0_12)),relation_dom(sk0_11)) ),
    introduced(split_symbol_definition) ).

fof(f149,plain,
    ( ~ subset(relation_dom(relation_dom_restriction(sk0_11,sk0_12)),relation_dom(sk0_11))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f147]) ).

fof(f150,plain,
    ( spl0_1
  <=> subset(relation_rng(relation_dom_restriction(sk0_11,sk0_13)),relation_rng(sk0_11)) ),
    introduced(split_symbol_definition) ).

fof(f152,plain,
    ( ~ subset(relation_rng(relation_dom_restriction(sk0_11,sk0_13)),relation_rng(sk0_11))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f150]) ).

fof(f153,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f140,f147,f150]) ).

fof(f160,plain,
    ( ~ relation(sk0_11)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f149,f143]) ).

fof(f161,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f160,f138]) ).

fof(f162,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f161]) ).

fof(f163,plain,
    ( ~ relation(sk0_11)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f152,f146]) ).

fof(f164,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f163,f138]) ).

fof(f165,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f164]) ).

fof(f166,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f153,f162,f165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SEU040+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n014.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Mon Apr 29 19:34:04 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.6.0
% 0.10/0.35  % Refutation found
% 0.10/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37  % Elapsed time: 0.022585 seconds
% 0.10/0.37  % CPU time: 0.016576 seconds
% 0.10/0.37  % Total memory used: 4.830 MB
% 0.10/0.37  % Net memory used: 4.819 MB
%------------------------------------------------------------------------------