%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM301+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 : Tue Apr 30 20:30:33 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  17   ~;  12   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f130,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f131,axiom,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f268,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f283,axiom,
    ! [X,Y,RDN_X,RDN_Y] :
      ( ( rdn_translate(X,rdn_neg(RDN_X))
        & rdn_translate(Y,rdn_neg(RDN_Y))
        & rdn_positive_less(RDN_Y,RDN_X) )
     => less(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f402,conjecture,
    ? [X] : less(X,nn2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f403,negated_conjecture,
    ~ ? [X] : less(X,nn2),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f533,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f534,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f671,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[status(esa)],[f268]) ).

fof(f700,plain,
    ! [X,Y,RDN_X,RDN_Y] :
      ( ~ rdn_translate(X,rdn_neg(RDN_X))
      | ~ rdn_translate(Y,rdn_neg(RDN_Y))
      | ~ rdn_positive_less(RDN_Y,RDN_X)
      | less(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f283]) ).

fof(f701,plain,
    ! [X,Y] :
      ( ! [RDN_X,RDN_Y] :
          ( ~ rdn_translate(X,rdn_neg(RDN_X))
          | ~ rdn_translate(Y,rdn_neg(RDN_Y))
          | ~ rdn_positive_less(RDN_Y,RDN_X) )
      | less(X,Y) ),
    inference(miniscoping,[status(esa)],[f700]) ).

fof(f702,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_translate(X2,rdn_neg(X3))
      | ~ rdn_positive_less(X3,X1)
      | less(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f701]) ).

fof(f861,plain,
    ! [X] : ~ less(X,nn2),
    inference(pre_NNF_transformation,[status(esa)],[f403]) ).

fof(f862,plain,
    ! [X0] : ~ less(X0,nn2),
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f866,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_positive_less(rdnn(n2),X1)
      | less(X0,nn2) ),
    inference(resolution,[status(thm)],[f702,f533]) ).

fof(f867,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_neg(X1))
      | ~ rdn_positive_less(rdnn(n2),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f866,f862]) ).

fof(f1221,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n3))),
    inference(resolution,[status(thm)],[f671,f867]) ).

fof(f1223,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f534,f1221]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : NUM301+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n028.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 21:19:44 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36  % Elapsed time: 0.086867 seconds
% 0.11/0.36  % CPU time: 0.580645 seconds
% 0.11/0.36  % Total memory used: 75.716 MB
% 0.11/0.36  % Net memory used: 75.031 MB
%------------------------------------------------------------------------------