TSTP Solution File: HWV028-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HWV028-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:22:01 EDT 2024

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   31 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [T_5] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [Z_100,X_98,Y_99] :
      ( ~ p_LES_EQU_(Z_100,X_98)
      | p_LES_EQU_(Y_99,X_98)
      | p_LES_EQU_(Z_100,Y_99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [X_106] : p_LES_EQU_(X_106,X_106),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f134,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f135,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f136,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f140,plain,
    ! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f147,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = n0
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f220,plain,
    ! [Z_100,Y_99] :
      ( ! [X_98] :
          ( ~ p_LES_EQU_(Z_100,X_98)
          | p_LES_EQU_(Y_99,X_98) )
      | p_LES_EQU_(Z_100,Y_99) ),
    inference(miniscoping,[status(esa)],[f70]) ).

fof(f221,plain,
    ! [X0,X1,X2] :
      ( ~ p_LES_EQU_(X0,X1)
      | p_LES_EQU_(X2,X1)
      | p_LES_EQU_(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f220]) ).

fof(f225,plain,
    ! [X0] : p_LES_EQU_(X0,X0),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f297,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f298,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f299,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f304,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = n0
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(forward_demodulation,[status(thm)],[f140,f147]) ).

fof(f380,plain,
    fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
    inference(resolution,[status(thm)],[f304,f297]) ).

fof(f381,plain,
    ~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(backward_demodulation,[status(thm)],[f380,f298]) ).

fof(f486,plain,
    ! [X0] :
      ( ~ p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
      | p_LES_EQU_(X0,n0) ),
    inference(resolution,[status(thm)],[f221,f381]) ).

fof(f516,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(resolution,[status(thm)],[f486,f299]) ).

fof(f517,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f516,f225]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21  % Problem  : HWV028-2 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.22  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.43  % Computer : n026.cluster.edu
% 0.13/0.43  % Model    : x86_64 x86_64
% 0.13/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43  % Memory   : 8042.1875MB
% 0.13/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.43  % CPULimit : 300
% 0.13/0.43  % WCLimit  : 300
% 0.13/0.43  % DateTime : Tue Apr 30 01:27:04 EDT 2024
% 0.13/0.43  % CPUTime  : 
% 0.13/0.45  % Drodi V3.6.0
% 0.18/0.52  % Refutation found
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.53  % Elapsed time: 0.088606 seconds
% 0.18/0.53  % CPU time: 0.550735 seconds
% 0.18/0.53  % Total memory used: 70.434 MB
% 0.18/0.53  % Net memory used: 70.018 MB
%------------------------------------------------------------------------------