%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM023-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:30:13 EDT 2024

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] : equalish(add(A,n0),A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C] :
      ( ~ equalish(add(successor(A),B),C)
      | less(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ less(n0,successor(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0] : equalish(add(X0,n0),X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ! [B,C] :
      ( ! [A] : ~ equalish(add(successor(A),B),C)
      | less(B,C) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ~ equalish(add(successor(X0),X1),X2)
      | less(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f33,plain,
    ~ less(n0,successor(a)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f107,plain,
    ! [X0] : less(n0,successor(X0)),
    inference(resolution,[status(thm)],[f25,f16]) ).

fof(f111,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f33,f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : NUM023-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n003.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Mon Apr 29 20:49:48 EDT 2024
% 0.06/0.26  % CPUTime  : 
% 0.06/0.27  % Drodi V3.6.0
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28  % Elapsed time: 0.012466 seconds
% 0.11/0.28  % CPU time: 0.018477 seconds
% 0.11/0.28  % Total memory used: 6.705 MB
% 0.11/0.28  % Net memory used: 6.666 MB
%------------------------------------------------------------------------------