%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL226-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:18:45 EDT 2023

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% 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 :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( theorem(X)
      | ~ axiom(or(not(Y),X))
      | ~ theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ theorem(or(not(or(q,r)),or(not(or(not(r),s)),or(q,s)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0,X1,X2] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1,X2] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X0] :
      ( theorem(X0)
      | ~ axiom(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [Y] :
      ( ! [X] :
          ( theorem(X)
          | ~ axiom(or(not(Y),X)) )
      | ~ theorem(Y) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ axiom(or(not(X1),X0))
      | ~ theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f20,plain,
    ~ theorem(or(not(or(q,r)),or(not(or(not(r),s)),or(q,s)))),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[status(thm)],[f13,f17]) ).

fof(f70,plain,
    ~ theorem(or(not(or(not(r),s)),or(not(or(q,r)),or(q,s)))),
    inference(resolution,[status(thm)],[f67,f20]) ).

fof(f86,plain,
    ! [X0,X1,X2] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[status(thm)],[f14,f15]) ).

fof(f87,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f70,f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL226-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n011.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 09:41:57 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.59  % Elapsed time: 0.037672 seconds
% 0.15/0.59  % CPU time: 0.030479 seconds
% 0.15/0.59  % Memory used: 3.961 MB
%------------------------------------------------------------------------------