%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:34:47 EDT 2023

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   22 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   5   |;   2   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (;  15   !;   1   ?)

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

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

fof(f9,conjecture,
    ! [B] : difference(empty_set,B) = empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ ! [B] : difference(empty_set,B) = empty_set,
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [B,C] :
      ( ( difference(B,C) != empty_set
        | subset(B,C) )
      & ( difference(B,C) = empty_set
        | ~ subset(B,C) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    ( ! [B,C] :
        ( difference(B,C) != empty_set
        | subset(B,C) )
    & ! [B,C] :
        ( difference(B,C) = empty_set
        | ~ subset(B,C) ) ),
    inference(miniscoping,[status(esa)],[f12]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( difference(X0,X1) = empty_set
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f40,plain,
    ? [B] : difference(empty_set,B) != empty_set,
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f41,plain,
    difference(empty_set,sk0_2) != empty_set,
    inference(skolemization,[status(esa)],[f40]) ).

fof(f42,plain,
    difference(empty_set,sk0_2) != empty_set,
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f45,plain,
    ! [X0] : difference(empty_set,X0) = empty_set,
    inference(resolution,[status(thm)],[f15,f11]) ).

fof(f46,plain,
    empty_set != empty_set,
    inference(backward_demodulation,[status(thm)],[f45,f42]) ).

fof(f47,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n013.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 10:12:20 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.021605 seconds
% 0.12/0.37  % CPU time: 0.029081 seconds
% 0.12/0.37  % Memory used: 11.413 MB
%------------------------------------------------------------------------------