TSTP Solution File: LCL250-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL250-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : Tue Apr 30 20:26:51 EDT 2024

% Result   : Unsatisfiable 181.85s 23.33s
% Output   : CNFRefutation 185.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   36 (  22 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   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   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] : axiom(or(not(or(A,A)),A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : axiom(or(not(A),or(B,A))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( theorem(X)
      | ~ axiom(or(not(Y),X))
      | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Z,Y] :
      ( theorem(or(not(X),Z))
      | ~ axiom(or(not(X),Y))
      | ~ theorem(or(not(Y),Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f10,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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(f18,plain,
    ! [Z,Y] :
      ( ! [X] :
          ( theorem(or(not(X),Z))
          | ~ axiom(or(not(X),Y)) )
      | ~ theorem(or(not(Y),Z)) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( theorem(or(not(X0),X1))
      | ~ axiom(or(not(X0),X2))
      | ~ theorem(or(not(X2),X1)) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

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

fof(f23,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[status(thm)],[f10,f15]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( theorem(or(not(X0),X1))
      | ~ theorem(or(not(or(X2,X0)),X1)) ),
    inference(resolution,[status(thm)],[f11,f19]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( theorem(or(not(or(X0,X1)),X2))
      | ~ theorem(or(not(or(X1,X0)),X2)) ),
    inference(resolution,[status(thm)],[f12,f19]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( theorem(or(not(or(X0,or(X1,X2))),X3))
      | ~ theorem(or(not(or(X1,or(X0,X2))),X3)) ),
    inference(resolution,[status(thm)],[f13,f19]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[status(thm)],[f13,f17]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( theorem(or(not(or(not(X0),X1)),X2))
      | ~ theorem(or(not(or(not(or(X3,X0)),or(X3,X1))),X2)) ),
    inference(resolution,[status(thm)],[f14,f19]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[status(thm)],[f14,f17]) ).

fof(f379,plain,
    ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))),
    inference(resolution,[status(thm)],[f102,f23]) ).

fof(f1115,plain,
    ! [X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),
    inference(resolution,[status(thm)],[f379,f101]) ).

fof(f5563,plain,
    ! [X0,X1] : theorem(or(not(or(X0,not(X1))),or(not(or(X0,X1)),X0))),
    inference(resolution,[status(thm)],[f1115,f51]) ).

fof(f15082,plain,
    ! [X0,X1] : theorem(or(not(not(X0)),or(not(or(X1,X0)),X1))),
    inference(resolution,[status(thm)],[f5563,f35]) ).

fof(f15090,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
    inference(resolution,[status(thm)],[f15082,f99]) ).

fof(f15118,plain,
    ! [X0,X1,X2] : theorem(or(not(or(X0,or(X1,X2))),or(not(not(or(X0,X2))),X1))),
    inference(resolution,[status(thm)],[f15090,f98]) ).

fof(f85298,plain,
    ! [X0,X1,X2] : theorem(or(not(or(X0,X1)),or(not(not(or(X2,X1))),X0))),
    inference(resolution,[status(thm)],[f15118,f35]) ).

fof(f85306,plain,
    ! [X0,X1,X2] : theorem(or(not(or(X0,X1)),or(not(not(or(X2,X0))),X1))),
    inference(resolution,[status(thm)],[f85298,f51]) ).

fof(f85313,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20,f85306]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL250-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 20:22:46 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 181.85/23.33  % Refutation found
% 181.85/23.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 181.85/23.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 185.96/23.91  % Elapsed time: 23.514827 seconds
% 185.96/23.91  % CPU time: 184.413492 seconds
% 185.96/23.91  % Total memory used: 1.342 GB
% 185.96/23.91  % Net memory used: 1.302 GB
%------------------------------------------------------------------------------