TSTP Solution File: SET025+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 12:33:38 EDT 2023

% Result   : Theorem 0.21s 0.38s
% Output   : CNFRefutation 0.21s
% 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    :    4 (   1 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   :   16 (;  14   !;   2   ?)

% 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,Y] : member(ordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X,Y] : member(ordered_pair(X,Y),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,Y] : ~ member(ordered_pair(X,Y),universal_class),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    ~ member(ordered_pair(sk0_7,sk0_8),universal_class),
    inference(skolemization,[status(esa)],[f191]) ).

fof(f193,plain,
    ~ member(ordered_pair(sk0_7,sk0_8),universal_class),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f281,plain,
    ! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
    inference(paramodulation,[status(thm)],[f67,f65]) ).

fof(f282,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f193,f281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:33:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.5.1
% 0.21/0.38  % Refutation found
% 0.21/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.026148 seconds
% 0.21/0.38  % CPU time: 0.041450 seconds
% 0.21/0.38  % Memory used: 15.092 MB
%------------------------------------------------------------------------------