%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM326+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:24:52 EDT 2023

% Result   : Theorem 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   7   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   18 (;  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f291,axiom,
    ! [POS_X,NEG_X,RDN_X] :
      ( ( rdn_translate(POS_X,rdn_pos(RDN_X))
        & rdn_translate(NEG_X,rdn_neg(RDN_X)) )
     => sum(POS_X,NEG_X,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f402,conjecture,
    ? [X] : sum(X,nn5,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f403,negated_conjecture,
    ~ ? [X] : sum(X,nn5,n0),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f409,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f536,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f728,plain,
    ! [POS_X,NEG_X,RDN_X] :
      ( ~ rdn_translate(POS_X,rdn_pos(RDN_X))
      | ~ rdn_translate(NEG_X,rdn_neg(RDN_X))
      | sum(POS_X,NEG_X,n0) ),
    inference(pre_NNF_transformation,[status(esa)],[f291]) ).

fof(f729,plain,
    ! [POS_X,NEG_X] :
      ( ! [RDN_X] :
          ( ~ rdn_translate(POS_X,rdn_pos(RDN_X))
          | ~ rdn_translate(NEG_X,rdn_neg(RDN_X)) )
      | sum(POS_X,NEG_X,n0) ),
    inference(miniscoping,[status(esa)],[f728]) ).

fof(f730,plain,
    ! [X0,X1,X2] :
      ( ~ rdn_translate(X0,rdn_pos(X1))
      | ~ rdn_translate(X2,rdn_neg(X1))
      | sum(X0,X2,n0) ),
    inference(cnf_transformation,[status(esa)],[f729]) ).

fof(f861,plain,
    ! [X] : ~ sum(X,nn5,n0),
    inference(pre_NNF_transformation,[status(esa)],[f403]) ).

fof(f862,plain,
    ! [X0] : ~ sum(X0,nn5,n0),
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f865,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
      | sum(X0,nn5,n0) ),
    inference(resolution,[status(thm)],[f730,f536]) ).

fof(f866,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5))),
    inference(forward_subsumption_resolution,[status(thm)],[f865,f862]) ).

fof(f867,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f409,f866]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM326+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 09:50:40 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.35  % Drodi V3.5.1
% 0.18/0.36  % Refutation found
% 0.18/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37  % Elapsed time: 0.032660 seconds
% 0.18/0.37  % CPU time: 0.047814 seconds
% 0.18/0.37  % Memory used: 15.522 MB
%------------------------------------------------------------------------------