TSTP Solution File: LCL050-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:26:13 EDT 2024

% Result   : Unsatisfiable 8.74s 1.48s
% Output   : CNFRefutation 8.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   49 (  26 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  31   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  115 ( 115   !;   0   ?)

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

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

fof(f3,axiom,
    ! [X] : is_a_theorem(implies(implies(not(X),X),X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [Y] :
      ( ! [X] :
          ( ~ is_a_theorem(implies(X,Y))
          | ~ is_a_theorem(X) )
      | is_a_theorem(Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[status(thm)],[f8,f7]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
    inference(resolution,[status(thm)],[f12,f8]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(implies(X2,X0),X3)) ),
    inference(resolution,[status(thm)],[f13,f7]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
    inference(resolution,[status(thm)],[f15,f13]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
    inference(resolution,[status(thm)],[f18,f7]) ).

fof(f31,plain,
    ~ is_a_theorem(implies(b,implies(implies(b,c),c))),
    inference(resolution,[status(thm)],[f23,f11]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f56,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[status(thm)],[f10,f12]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[status(thm)],[f10,f7]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
    inference(resolution,[status(thm)],[f57,f12]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[status(thm)],[f56,f7]) ).

fof(f81,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[status(thm)],[f73,f9]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[status(thm)],[f73,f59]) ).

fof(f146,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
    inference(resolution,[status(thm)],[f84,f81]) ).

fof(f253,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[status(thm)],[f12,f7]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[f253,f9]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(implies(not(X1),X0)) ),
    inference(resolution,[status(thm)],[f338,f12]) ).

fof(f363,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(resolution,[status(thm)],[f338,f146]) ).

fof(f369,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(implies(X2,X0),X3)) ),
    inference(resolution,[status(thm)],[f13,f7]) ).

fof(f436,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(resolution,[status(thm)],[f12,f363]) ).

fof(f460,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(implies(X0,X0),X1))
      | is_a_theorem(implies(X2,X1)) ),
    inference(resolution,[status(thm)],[f436,f7]) ).

fof(f539,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(implies(X2,X0),X3)) ),
    inference(resolution,[status(thm)],[f13,f7]) ).

fof(f785,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[status(thm)],[f357,f57]) ).

fof(f817,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[f785,f460]) ).

fof(f830,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[status(thm)],[f817,f9]) ).

fof(f866,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
    inference(resolution,[status(thm)],[f830,f357]) ).

fof(f910,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
      | is_a_theorem(implies(X0,implies(X1,X3))) ),
    inference(resolution,[status(thm)],[f56,f253]) ).

fof(f3085,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[status(thm)],[f369,f866]) ).

fof(f3790,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X1))
      | ~ is_a_theorem(implies(X1,X0))
      | is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[f253,f53]) ).

fof(f4634,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[status(thm)],[f539,f3085]) ).

fof(f8478,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
    inference(resolution,[status(thm)],[f4634,f73]) ).

fof(f8519,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[status(thm)],[f8478,f910]) ).

fof(f8568,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[status(thm)],[f8519,f817]) ).

fof(f8596,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
      | is_a_theorem(X2) ),
    inference(resolution,[status(thm)],[f8568,f3790]) ).

fof(f8857,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[status(thm)],[f8596,f8]) ).

fof(f9360,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X2))
      | is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[status(thm)],[f8857,f7]) ).

fof(f9493,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[status(thm)],[f9360,f4634]) ).

fof(f9630,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f31,f9493]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.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 : Mon Apr 29 21:03:25 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 8.74/1.48  % Refutation found
% 8.74/1.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.74/1.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.24/1.53  % Elapsed time: 1.175480 seconds
% 9.24/1.53  % CPU time: 9.172033 seconds
% 9.24/1.53  % Total memory used: 233.781 MB
% 9.24/1.53  % Net memory used: 218.051 MB
%------------------------------------------------------------------------------