%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 12:34:57 EDT 2023

% Result   : Theorem 0.10s 0.48s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  16   ~;  11   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  17   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,binary_relation_type)
         => ( subset(domain_of(C),B)
           => ilf_type(C,relation_type(B,range_of(C))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => subset(B,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [B] : ilf_type(B,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,conjecture,
    ! [B] :
      ( ilf_type(B,binary_relation_type)
     => ilf_type(B,relation_type(domain_of(B),range_of(B))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ~ ! [B] :
        ( ilf_type(B,binary_relation_type)
       => ilf_type(B,relation_type(domain_of(B),range_of(B))) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f31,plain,
    ! [B] :
      ( ~ ilf_type(B,set_type)
      | ! [C] :
          ( ~ ilf_type(C,binary_relation_type)
          | ~ subset(domain_of(C),B)
          | ilf_type(C,relation_type(B,range_of(C))) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,binary_relation_type)
      | ~ subset(domain_of(X1),X0)
      | ilf_type(X1,relation_type(X0,range_of(X1))) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f80,plain,
    ! [B] :
      ( ~ ilf_type(B,set_type)
      | subset(B,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | subset(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f80]) ).

fof(f126,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f127,plain,
    ? [B] :
      ( ilf_type(B,binary_relation_type)
      & ~ ilf_type(B,relation_type(domain_of(B),range_of(B))) ),
    inference(pre_NNF_transformation,[status(esa)],[f30]) ).

fof(f128,plain,
    ( ilf_type(sk0_12,binary_relation_type)
    & ~ ilf_type(sk0_12,relation_type(domain_of(sk0_12),range_of(sk0_12))) ),
    inference(skolemization,[status(esa)],[f127]) ).

fof(f129,plain,
    ilf_type(sk0_12,binary_relation_type),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f130,plain,
    ~ ilf_type(sk0_12,relation_type(domain_of(sk0_12),range_of(sk0_12))),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f136,plain,
    ! [X0] : subset(X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f126]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ~ subset(domain_of(X0),X1)
      | ilf_type(X0,relation_type(X1,range_of(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f32,f126]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
    inference(resolution,[status(thm)],[f142,f136]) ).

fof(f149,plain,
    ~ ilf_type(sk0_12,binary_relation_type),
    inference(resolution,[status(thm)],[f143,f130]) ).

fof(f150,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f149,f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07  % Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n026.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:28:58 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.10/0.48  % Refutation found
% 0.10/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.010329 seconds
% 0.10/0.48  % CPU time: 0.021135 seconds
% 0.10/0.48  % Memory used: 13.340 MB
%------------------------------------------------------------------------------