TSTP Solution File: LCL190-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL190-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:18:34 EDT 2023

% Result   : Unsatisfiable 0.15s 0.53s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   25 (   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    :    4 (   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(f3,axiom,
    ! [A,B] : axiom(implies(or(A,B),or(B,A))),
    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(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(p,or(q,r)),or(p,or(r,q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,plain,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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(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(p,or(q,r)),or(p,or(r,q)))),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f43,plain,
    ! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
    inference(resolution,[status(thm)],[f12,f16]) ).

fof(f79,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(resolution,[status(thm)],[f14,f16]) ).

fof(f149,plain,
    ! [X0,X1,X2] :
      ( theorem(implies(or(X0,X1),or(X0,X2)))
      | ~ theorem(implies(X1,X2)) ),
    inference(resolution,[status(thm)],[f79,f18]) ).

fof(f446,plain,
    ~ theorem(implies(or(q,r),or(r,q))),
    inference(resolution,[status(thm)],[f149,f19]) ).

fof(f447,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f446,f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : LCL190-3 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:45:01 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.15/0.53  % Refutation found
% 0.15/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.53  % Elapsed time: 0.013483 seconds
% 0.15/0.53  % CPU time: 0.019066 seconds
% 0.15/0.53  % Memory used: 2.517 MB
%------------------------------------------------------------------------------