%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:40:11 EDT 2024

% Result   : Theorem 0.11s 0.33s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  15   ~;  13   |;   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    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  27   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [X] :
          ( member(X,A)
         => member(X,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,conjecture,
    ! [A] : subset(A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ ! [A] : subset(A,A),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [X] :
          ( ~ member(X,A)
          | member(X,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f15,plain,
    ! [A,B] :
      ( ( ~ subset(A,B)
        | ! [X] :
            ( ~ member(X,A)
            | member(X,B) ) )
      & ( subset(A,B)
        | ? [X] :
            ( member(X,A)
            & ~ member(X,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f14]) ).

fof(f16,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [X] :
            ( ~ member(X,A)
            | member(X,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ? [X] :
            ( member(X,A)
            & ~ member(X,B) ) ) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f17,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [X] :
            ( ~ member(X,A)
            | member(X,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ( member(sk0_0(B,A),A)
          & ~ member(sk0_0(B,A),B) ) ) ),
    inference(skolemization,[status(esa)],[f16]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sk0_0(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sk0_0(X1,X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f68,plain,
    ? [A] : ~ subset(A,A),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f69,plain,
    ~ subset(sk0_3,sk0_3),
    inference(skolemization,[status(esa)],[f68]) ).

fof(f70,plain,
    ~ subset(sk0_3,sk0_3),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f93,plain,
    ! [X0] :
      ( subset(X0,X0)
      | subset(X0,X0) ),
    inference(resolution,[status(thm)],[f20,f19]) ).

fof(f94,plain,
    ! [X0] : subset(X0,X0),
    inference(duplicate_literals_removal,[status(esa)],[f93]) ).

fof(f96,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f70,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 21:30:49 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.6.0
% 0.11/0.33  % Refutation found
% 0.11/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.34  % Elapsed time: 0.016525 seconds
% 0.11/0.34  % CPU time: 0.023228 seconds
% 0.11/0.34  % Total memory used: 11.089 MB
% 0.11/0.34  % Net memory used: 10.981 MB
%------------------------------------------------------------------------------