%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:34:03 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   17 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (;  12   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ! [X] :
      ( ordered_pair(first(X),second(X)) = X
     => member(X,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X] :
        ( ordered_pair(first(X),second(X)) = X
       => member(X,universal_class) ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f65,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f67,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f191,plain,
    ? [X] :
      ( ordered_pair(first(X),second(X)) = X
      & ~ member(X,universal_class) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    ( ordered_pair(first(sk0_7),second(sk0_7)) = sk0_7
    & ~ member(sk0_7,universal_class) ),
    inference(skolemization,[status(esa)],[f191]) ).

fof(f193,plain,
    ordered_pair(first(sk0_7),second(sk0_7)) = sk0_7,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f194,plain,
    ~ member(sk0_7,universal_class),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f330,plain,
    ! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
    inference(paramodulation,[status(thm)],[f67,f65]) ).

fof(f332,plain,
    member(sk0_7,universal_class),
    inference(paramodulation,[status(thm)],[f193,f330]) ).

fof(f333,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f332,f194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:42:59 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.026619 seconds
% 0.13/0.37  % CPU time: 0.045299 seconds
% 0.13/0.37  % Memory used: 15.152 MB
%------------------------------------------------------------------------------