%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HWV028-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            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 :   22 (  12   ~;  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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [Z_21,Y_20,X_19] :
      ( ~ gt(Z_21,Y_20)
      | gt(Z_21,X_19)
      | ~ gt(Y_20,X_19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X_28] : ~ gt(X_28,X_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X_t_32] : level(X_t_32) = int_level(X_t_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | int_level(plus(X_t_37,n1)) = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    gt(level(plus(t_139,n1)),fifo_length),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f108,plain,
    ! [Y_20,X_19] :
      ( ! [Z_21] :
          ( ~ gt(Z_21,Y_20)
          | gt(Z_21,X_19) )
      | ~ gt(Y_20,X_19) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ~ gt(X0,X1)
      | gt(X0,X2)
      | ~ gt(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f108]) ).

fof(f113,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f117,plain,
    ! [X0] : level(X0) = int_level(X0),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ p_Reset(X0)
      | int_level(plus(X0,n1)) = n0 ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f189,plain,
    p_Reset(t_139),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f190,plain,
    gt(level(plus(t_139,n1)),fifo_length),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f191,plain,
    gt(fifo_length,n0),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f200,plain,
    ! [X0] :
      ( gt(fifo_length,X0)
      | ~ gt(n0,X0) ),
    inference(resolution,[status(thm)],[f109,f191]) ).

fof(f649,plain,
    ! [X0] :
      ( ~ p_Reset(X0)
      | level(plus(X0,n1)) = n0 ),
    inference(forward_demodulation,[status(thm)],[f117,f122]) ).

fof(f650,plain,
    level(plus(t_139,n1)) = n0,
    inference(resolution,[status(thm)],[f649,f189]) ).

fof(f652,plain,
    gt(n0,fifo_length),
    inference(backward_demodulation,[status(thm)],[f650,f190]) ).

fof(f673,plain,
    gt(fifo_length,fifo_length),
    inference(resolution,[status(thm)],[f652,f200]) ).

fof(f674,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f673,f113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HWV028-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 01:31:10 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.35  % Drodi V3.6.0
% 0.18/0.37  % Refutation found
% 0.18/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37  % Elapsed time: 0.028669 seconds
% 0.18/0.37  % CPU time: 0.069039 seconds
% 0.18/0.37  % Total memory used: 18.060 MB
% 0.18/0.37  % Net memory used: 17.968 MB
%------------------------------------------------------------------------------