%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : Tue Apr 30 20:30:12 EDT 2024

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

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

fof(f2,axiom,
    ! [A,B] : equalish(add(A,successor(B)),successor(add(A,B))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B] :
      ( ~ equalish(A,B)
      | equalish(successor(A),successor(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y,Z] :
      ( ~ equalish(X,Y)
      | ~ equalish(Y,Z)
      | equalish(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ~ equalish(add(a,successor(n0)),successor(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0] : equalish(add(X0,n0),X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f14,plain,
    ! [X0,X1] : equalish(add(X0,successor(X1)),successor(add(X0,X1))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(successor(X0),successor(X1)) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f21,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ equalish(X,Y)
          | ~ equalish(Y,Z) )
      | equalish(X,Z) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X1,X2)
      | equalish(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f24,plain,
    ~ equalish(add(a,successor(n0)),successor(a)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f32,plain,
    ! [X0] : equalish(successor(add(X0,n0)),successor(X0)),
    inference(resolution,[status(thm)],[f18,f13]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,successor(add(X1,n0)))
      | equalish(X0,successor(X1)) ),
    inference(resolution,[status(thm)],[f32,f22]) ).

fof(f289,plain,
    ! [X0] : equalish(add(X0,successor(n0)),successor(X0)),
    inference(resolution,[status(thm)],[f39,f14]) ).

fof(f305,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f24,f289]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM020-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.03/0.13  % 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 : Mon Apr 29 20:51:42 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.19/0.35  % Refutation found
% 0.19/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36  % Elapsed time: 0.018636 seconds
% 0.19/0.36  % CPU time: 0.034819 seconds
% 0.19/0.36  % Total memory used: 7.131 MB
% 0.19/0.36  % Net memory used: 7.043 MB
%------------------------------------------------------------------------------