%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 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 12:24:47 EDT 2023

% Result   : Theorem 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% 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 :   19 (  10   ~;   7   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (;  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f129,axiom,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f282,axiom,
    ! [X,Y,RDN_X,RDN_Y] :
      ( ( rdn_translate(X,rdn_neg(RDN_X))
        & rdn_translate(Y,rdn_pos(RDN_Y)) )
     => less(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f402,conjecture,
    ? [X] : less(X,n13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f403,negated_conjecture,
    ~ ? [X] : less(X,n13),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f417,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f532,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f697,plain,
    ! [X,Y,RDN_X,RDN_Y] :
      ( ~ rdn_translate(X,rdn_neg(RDN_X))
      | ~ rdn_translate(Y,rdn_pos(RDN_Y))
      | less(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f282]) ).

fof(f698,plain,
    ! [X,Y] :
      ( ! [RDN_X] : ~ rdn_translate(X,rdn_neg(RDN_X))
      | ! [RDN_Y] : ~ rdn_translate(Y,rdn_pos(RDN_Y))
      | less(X,Y) ),
    inference(miniscoping,[status(esa)],[f697]) ).

fof(f699,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_translate(X2,rdn_pos(X3))
      | less(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f698]) ).

fof(f861,plain,
    ! [X] : ~ less(X,n13),
    inference(pre_NNF_transformation,[status(esa)],[f403]) ).

fof(f862,plain,
    ! [X0] : ~ less(X0,n13),
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f869,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(X1))
      | less(nn1,X0) ),
    inference(resolution,[status(thm)],[f532,f699]) ).

fof(f885,plain,
    less(nn1,n13),
    inference(resolution,[status(thm)],[f869,f417]) ).

fof(f886,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f885,f862]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 09:51:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.37  % Drodi V3.5.1
% 0.20/0.39  % Refutation found
% 0.20/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.034748 seconds
% 0.20/0.39  % CPU time: 0.050430 seconds
% 0.20/0.39  % Memory used: 15.521 MB
%------------------------------------------------------------------------------