%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:33:47 EDT 2023

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   36 (  16   ~;  11   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (;  25   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [B] : ~ member(B,empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [B,C] :
      ( subset(B,C)
    <=> ! [D] :
          ( member(D,B)
         => member(D,C) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,conjecture,
    ! [B] : subset(empty_set,B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ~ ! [B] : subset(empty_set,B),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [B,C] :
      ( subset(B,C)
    <=> ! [D] :
          ( ~ member(D,B)
          | member(D,C) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [B,C] :
      ( ( ~ subset(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | member(D,C) ) )
      & ( subset(B,C)
        | ? [D] :
            ( member(D,B)
            & ~ member(D,C) ) ) ),
    inference(NNF_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ( ! [B,C] :
        ( ~ subset(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | member(D,C) ) )
    & ! [B,C] :
        ( subset(B,C)
        | ? [D] :
            ( member(D,B)
            & ~ member(D,C) ) ) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f11,plain,
    ( ! [B,C] :
        ( ~ subset(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | member(D,C) ) )
    & ! [B,C] :
        ( subset(B,C)
        | ( member(sk0_0(C,B),B)
          & ~ member(sk0_0(C,B),C) ) ) ),
    inference(skolemization,[status(esa)],[f10]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sk0_0(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f21,plain,
    ? [B] : ~ subset(empty_set,B),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f22,plain,
    ~ subset(empty_set,sk0_2),
    inference(skolemization,[status(esa)],[f21]) ).

fof(f23,plain,
    ~ subset(empty_set,sk0_2),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f24,plain,
    member(sk0_0(sk0_2,empty_set),empty_set),
    inference(resolution,[status(thm)],[f13,f23]) ).

fof(f25,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f24,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07  % Problem  : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n001.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:47:30 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.006270 seconds
% 0.10/0.48  % CPU time: 0.017319 seconds
% 0.10/0.48  % Memory used: 1.834 MB
%------------------------------------------------------------------------------