%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:39:52 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   7   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (  32   !;   3   ?)

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

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

fof(f3,axiom,
    ! [B,C] : subset(intersection(B,C),B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,conjecture,
    ! [B,C,D] : subset(intersection(B,C),union(B,D)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ~ ! [B,C,D] : subset(intersection(B,C),union(B,D)),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ! [B,C,D] :
      ( ~ subset(B,C)
      | ~ subset(C,D)
      | subset(B,D) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f14,plain,
    ! [B,D] :
      ( ! [C] :
          ( ~ subset(B,C)
          | ~ subset(C,D) )
      | subset(B,D) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X1)
      | ~ subset(X1,X2)
      | subset(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f16,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f17,plain,
    ! [X0,X1] : subset(intersection(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f45,plain,
    ? [B,C,D] : ~ subset(intersection(B,C),union(B,D)),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f46,plain,
    ~ subset(intersection(sk0_2,sk0_3),union(sk0_2,sk0_4)),
    inference(skolemization,[status(esa)],[f45]) ).

fof(f47,plain,
    ~ subset(intersection(sk0_2,sk0_3),union(sk0_2,sk0_4)),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X1)
      | subset(intersection(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f15,f17]) ).

fof(f67,plain,
    ! [X0,X1,X2] : subset(intersection(X0,X1),union(X0,X2)),
    inference(resolution,[status(thm)],[f50,f16]) ).

fof(f89,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f47,f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n028.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 : Mon Apr 29 21:59:14 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37  % Elapsed time: 0.019505 seconds
% 0.20/0.37  % CPU time: 0.027657 seconds
% 0.20/0.37  % Total memory used: 12.773 MB
% 0.20/0.37  % Net memory used: 12.665 MB
%------------------------------------------------------------------------------