%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 0.14s 0.38s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   43 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (  21   ~;  14   |;   6   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (  39   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),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(f284,axiom,
    ! [X,Y] :
      ( less(X,Y)
    <=> ( ~ less(Y,X)
        & Y != X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f402,conjecture,
    ? [X] : X != n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f403,negated_conjecture,
    ~ ? [X] : X != n12,
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f416,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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(f703,plain,
    ! [X,Y] :
      ( ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
      & ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(NNF_transformation,[status(esa)],[f284]) ).

fof(f704,plain,
    ( ! [X,Y] :
        ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
    & ! [X,Y] :
        ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(miniscoping,[status(esa)],[f703]) ).

fof(f706,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 != X0 ),
    inference(cnf_transformation,[status(esa)],[f704]) ).

fof(f861,plain,
    ! [X] : X = n12,
    inference(pre_NNF_transformation,[status(esa)],[f403]) ).

fof(f862,plain,
    ! [X0] : X0 = n12,
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f863,plain,
    ! [X0] : ~ less(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f706]) ).

fof(f865,plain,
    ! [X0,X1] : X0 = X1,
    inference(paramodulation,[status(thm)],[f862,f862]) ).

fof(f868,plain,
    ! [X0] : rdn_translate(n12,X0),
    inference(paramodulation,[status(thm)],[f865,f416]) ).

fof(f880,plain,
    ! [X0,X1] : rdn_translate(X0,X1),
    inference(paramodulation,[status(thm)],[f865,f868]) ).

fof(f903,plain,
    ! [X0,X1,X2] :
      ( ~ rdn_translate(X0,rdn_pos(X1))
      | less(X2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f699,f880]) ).

fof(f904,plain,
    ! [X0,X1] : less(X0,X1),
    inference(resolution,[status(thm)],[f903,f880]) ).

fof(f909,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f863,f904]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n005.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 : Mon Apr 29 20:34:11 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39  % Elapsed time: 0.032014 seconds
% 0.14/0.39  % CPU time: 0.049014 seconds
% 0.14/0.39  % Total memory used: 16.322 MB
% 0.14/0.39  % Net memory used: 16.143 MB
%------------------------------------------------------------------------------