TSTP Solution File: LCL129-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL129-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:26:26 EDT 2024

% Result   : Unsatisfiable 102.44s 13.24s
% Output   : CNFRefutation 103.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   38 (  16 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  35   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   95 (  95   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( ~ is_a_theorem(equivalent(X,Y))
      | ~ is_a_theorem(X)
      | is_a_theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(X,equivalent(U,Z)),equivalent(Y,U)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [Y] :
      ( ! [X] :
          ( ~ is_a_theorem(equivalent(X,Y))
          | ~ is_a_theorem(X) )
      | is_a_theorem(Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3))) ),
    inference(resolution,[status(thm)],[f6,f5]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | ~ is_a_theorem(equivalent(X0,equivalent(X3,X2)))
      | is_a_theorem(equivalent(X1,X3)) ),
    inference(resolution,[status(thm)],[f8,f5]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(X1,X4))))
      | is_a_theorem(equivalent(X3,equivalent(X0,equivalent(X4,X2)))) ),
    inference(resolution,[status(thm)],[f9,f6]) ).

fof(f12,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X2)))),
    inference(resolution,[status(thm)],[f10,f6]) ).

fof(f13,plain,
    ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
    inference(resolution,[status(thm)],[f12,f10]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
      | is_a_theorem(equivalent(X1,X0)) ),
    inference(resolution,[status(thm)],[f13,f9]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
    inference(resolution,[status(thm)],[f13,f5]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X0,equivalent(X3,X2)))) ),
    inference(resolution,[status(thm)],[f17,f10]) ).

fof(f32,plain,
    ! [X0] : is_a_theorem(equivalent(X0,X0)),
    inference(resolution,[status(thm)],[f16,f13]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X0,X0),X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[status(thm)],[f16,f17]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
      | is_a_theorem(equivalent(X2,X0)) ),
    inference(resolution,[status(thm)],[f32,f9]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
    inference(resolution,[status(thm)],[f33,f10]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X3,X1)))
      | is_a_theorem(equivalent(X3,X0)) ),
    inference(resolution,[status(thm)],[f33,f9]) ).

fof(f48,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
    inference(resolution,[status(thm)],[f36,f6]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(equivalent(X1,X0)) ),
    inference(resolution,[status(thm)],[f36,f17]) ).

fof(f52,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
    inference(resolution,[status(thm)],[f48,f10]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
      | is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[f48,f5]) ).

fof(f69,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
    inference(resolution,[status(thm)],[f56,f48]) ).

fof(f76,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(resolution,[status(thm)],[f69,f10]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X3))))
      | is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X3,X2)))) ),
    inference(resolution,[status(thm)],[f52,f9]) ).

fof(f124,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
    inference(resolution,[status(thm)],[f76,f50]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | ~ is_a_theorem(equivalent(X1,X3))
      | is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
    inference(resolution,[status(thm)],[f18,f5]) ).

fof(f242,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
    inference(resolution,[status(thm)],[f124,f16]) ).

fof(f586,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
    inference(resolution,[status(thm)],[f242,f36]) ).

fof(f1231,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(equivalent(equivalent(X1,X3),equivalent(X2,X3)),X0)) ),
    inference(resolution,[status(thm)],[f39,f6]) ).

fof(f2285,plain,
    ! [X0] :
      ( ~ is_a_theorem(equivalent(a,equivalent(X0,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
      | ~ is_a_theorem(equivalent(X0,a)) ),
    inference(resolution,[status(thm)],[f203,f7]) ).

fof(f3523,plain,
    ! [X0] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(b,e),equivalent(c,e))),a))
      | ~ is_a_theorem(equivalent(a,equivalent(X0,equivalent(b,c)))) ),
    inference(resolution,[status(thm)],[f2285,f37]) ).

fof(f31494,plain,
    ! [X0] :
      ( ~ is_a_theorem(equivalent(a,equivalent(X0,equivalent(b,e))))
      | ~ is_a_theorem(equivalent(a,equivalent(equivalent(X0,equivalent(c,e)),equivalent(b,c)))) ),
    inference(resolution,[status(thm)],[f1231,f3523]) ).

fof(f34561,plain,
    ! [X0] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(c,e)),equivalent(a,equivalent(c,b))))
      | ~ is_a_theorem(equivalent(a,equivalent(X0,equivalent(b,e)))) ),
    inference(resolution,[status(thm)],[f101,f31494]) ).

fof(f34562,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(c,e)),equivalent(a,equivalent(c,b)))),
    inference(forward_subsumption_resolution,[status(thm)],[f34561,f10]) ).

fof(f34695,plain,
    $false,
    inference(resolution,[status(thm)],[f34562,f586]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LCL129-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.28  % Computer : n019.cluster.edu
% 0.06/0.28  % Model    : x86_64 x86_64
% 0.06/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.28  % Memory   : 8042.1875MB
% 0.06/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.28  % CPULimit : 300
% 0.06/0.28  % WCLimit  : 300
% 0.06/0.28  % DateTime : Mon Apr 29 20:14:29 EDT 2024
% 0.06/0.28  % CPUTime  : 
% 0.06/0.29  % Drodi V3.6.0
% 102.44/13.24  % Refutation found
% 102.44/13.24  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.44/13.24  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 104.21/13.44  % Elapsed time: 13.135759 seconds
% 104.21/13.44  % CPU time: 104.186106 seconds
% 104.21/13.44  % Total memory used: 915.974 MB
% 104.21/13.44  % Net memory used: 841.640 MB
%------------------------------------------------------------------------------