TSTP Solution File: SEU085+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:35:48 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (;  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [A,B] :
      ( finite(A)
     => finite(set_difference(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,conjecture,
    ! [A,B] :
      ( finite(A)
     => finite(set_difference(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ~ ! [A,B] :
        ( finite(A)
       => finite(set_difference(A,B)) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f101,plain,
    ! [A,B] :
      ( ~ finite(A)
      | finite(set_difference(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f102,plain,
    ! [A] :
      ( ~ finite(A)
      | ! [B] : finite(set_difference(A,B)) ),
    inference(miniscoping,[status(esa)],[f101]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | finite(set_difference(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f239,plain,
    ? [A,B] :
      ( finite(A)
      & ~ finite(set_difference(A,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f50]) ).

fof(f240,plain,
    ? [A] :
      ( finite(A)
      & ? [B] : ~ finite(set_difference(A,B)) ),
    inference(miniscoping,[status(esa)],[f239]) ).

fof(f241,plain,
    ( finite(sk0_26)
    & ~ finite(set_difference(sk0_26,sk0_27)) ),
    inference(skolemization,[status(esa)],[f240]) ).

fof(f242,plain,
    finite(sk0_26),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f243,plain,
    ~ finite(set_difference(sk0_26,sk0_27)),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f269,plain,
    ~ finite(sk0_26),
    inference(resolution,[status(thm)],[f103,f243]) ).

fof(f270,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f269,f242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 09:14:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.026316 seconds
% 0.13/0.38  % CPU time: 0.034125 seconds
% 0.13/0.38  % Memory used: 15.213 MB
%------------------------------------------------------------------------------