%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:39:55 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [B,C] : subset(B,union(B,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,conjecture,
    ! [B,C] : subset(difference(B,C),symmetric_difference(B,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ ! [B,C] : subset(difference(B,C),symmetric_difference(B,C)),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f35,plain,
    ? [B,C] : ~ subset(difference(B,C),symmetric_difference(B,C)),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f36,plain,
    ~ subset(difference(sk0_2,sk0_3),symmetric_difference(sk0_2,sk0_3)),
    inference(skolemization,[status(esa)],[f35]) ).

fof(f37,plain,
    ~ subset(difference(sk0_2,sk0_3),symmetric_difference(sk0_2,sk0_3)),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
    inference(paramodulation,[status(thm)],[f11,f12]) ).

fof(f39,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f37,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n019.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 21:43:44 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34  % Elapsed time: 0.015275 seconds
% 0.15/0.34  % CPU time: 0.018256 seconds
% 0.15/0.34  % Total memory used: 10.859 MB
% 0.15/0.34  % Net memory used: 10.745 MB
%------------------------------------------------------------------------------