TSTP Solution File: SWV123+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV123+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 12:40:43 EDT 2023

% Result   : Theorem 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   30 (   3   ~;   0   |;  13   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,conjecture,
    ( geq(minus(n3,n1),n0)
   => ( geq(minus(n6,n1),n0)
     => ( ( geq(n2,n0)
          & geq(minus(n999,n1),n0) )
       => ( geq(minus(n6,n1),n0)
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( ( geq(minus(n3,n1),n0)
                  & geq(minus(n999,n1),n0) )
               => true ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( geq(minus(n3,n1),n0)
     => ( geq(minus(n6,n1),n0)
       => ( ( geq(n2,n0)
            & geq(minus(n999,n1),n0) )
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( geq(minus(n6,n1),n0)
               => ( ( geq(minus(n3,n1),n0)
                    & geq(minus(n999,n1),n0) )
                 => true ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f259,plain,
    true,
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f261,plain,
    ( geq(minus(n3,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(n2,n0)
    & geq(minus(n999,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n3,n1),n0)
    & geq(minus(n999,n1),n0)
    & ~ true ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f271,plain,
    ~ true,
    inference(cnf_transformation,[status(esa)],[f261]) ).

fof(f357,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f259,f271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SWV123+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n025.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Tue May 30 11:49:42 EDT 2023
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.58  % Elapsed time: 0.018304 seconds
% 0.16/0.58  % CPU time: 0.019708 seconds
% 0.16/0.58  % Memory used: 5.981 MB
%------------------------------------------------------------------------------