%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET102-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:34:00 EDT 2023

% Result   : Unsatisfiable 0.18s 0.58s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [Y,X] :
      ( ~ member(Y,universal_class)
      | member(Y,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f105,plain,
    ! [Y] :
      ( ~ member(Y,universal_class)
      | ! [X] : member(Y,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f107,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f109,plain,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f198,plain,
    ~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(X0,singleton(X1)),universal_class)
      | member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)) ),
    inference(paramodulation,[status(thm)],[f109,f106]) ).

fof(f210,plain,
    ! [X0,X1] : member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f209,f107]) ).

fof(f215,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f198,f210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET102-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n021.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
% 0.11/0.33  % DateTime : Tue May 30 10:13:07 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Drodi V3.5.1
% 0.18/0.58  % Refutation found
% 0.18/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.58  % Elapsed time: 0.041201 seconds
% 0.18/0.58  % CPU time: 0.016417 seconds
% 0.18/0.58  % Memory used: 3.787 MB
%------------------------------------------------------------------------------