%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : Wed May 31 12:18:45 EDT 2023

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  16 unt;   0 def)
%            Number of atoms       :   34 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (;  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] : implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y] :
      ( theorem(X)
      | ~ theorem(implies(Y,X))
      | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0] :
      ( theorem(X0)
      | ~ axiom(X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f17,plain,
    ! [Y] :
      ( ! [X] :
          ( theorem(X)
          | ~ theorem(implies(Y,X)) )
      | ~ theorem(Y) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(implies(X1,X0))
      | ~ theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f19,plain,
    ~ theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    ~ theorem(implies(or(q,r),implies(implies(r,s),or(q,s)))),
    inference(backward_demodulation,[status(thm)],[f15,f19]) ).

fof(f68,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(paramodulation,[status(thm)],[f15,f13]) ).

fof(f69,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f15,f68]) ).

fof(f76,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(resolution,[status(thm)],[f14,f16]) ).

fof(f94,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
    inference(paramodulation,[status(thm)],[f15,f69]) ).

fof(f95,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f15,f94]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(X1)
      | ~ axiom(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[f18,f16]) ).

fof(f425,plain,
    ! [X0,X1,X2] :
      ( theorem(implies(X0,implies(X1,X2)))
      | ~ theorem(implies(X1,implies(X0,X2))) ),
    inference(resolution,[status(thm)],[f95,f285]) ).

fof(f883,plain,
    ~ theorem(implies(implies(r,s),implies(or(q,r),or(q,s)))),
    inference(resolution,[status(thm)],[f425,f20]) ).

fof(f884,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f883,f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:46:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.39  % Refutation found
% 0.19/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.039970 seconds
% 0.19/0.39  % CPU time: 0.171043 seconds
% 0.19/0.39  % Memory used: 15.818 MB
%------------------------------------------------------------------------------