TSTP Solution File: LCL169-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL169-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 12:18:27 EDT 2023

% Result   : Unsatisfiable 0.26s 0.57s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?)

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

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

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

fof(f9,negated_conjecture,
    ~ theorem(implies(implies(p,not(p)),not(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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(f19,plain,
    ~ theorem(implies(implies(p,not(p)),not(p))),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    ! [X0] : theorem(implies(or(X0,X0),X0)),
    inference(resolution,[status(thm)],[f10,f16]) ).

fof(f23,plain,
    ! [X0] : theorem(implies(implies(X0,not(X0)),not(X0))),
    inference(paramodulation,[status(thm)],[f15,f20]) ).

fof(f26,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f19,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL169-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 09:42:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.26/0.57  % Refutation found
% 0.26/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.57  % Elapsed time: 0.017942 seconds
% 0.26/0.57  % CPU time: 0.028379 seconds
% 0.26/0.57  % Memory used: 8.982 MB
%------------------------------------------------------------------------------