%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HWV021-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 : Wed May 31 12:12:58 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  12 unt;   0 def)
%            Number of atoms       :   79 (  12 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   88 (  45   ~;  41   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X_25] :
      ( X_25 = n0
      | gt(X_25,n0) ),
    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(f24,axiom,
    ! [X_t_35] :
      ( int_level(X_t_35) != n0
      | p_Empty(X_t_35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | ~ p_Rd_error(plus(X_t_37,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | ~ p_Rd(X_t_42)
      | ~ gt(int_level(X_t_42),n0)
      | ~ p_Rd_error(plus(X_t_42,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | p_Wr(X_t_42)
      | ~ p_Rd(X_t_42)
      | ~ gt(int_level(X_t_42),n0)
      | ~ p_Rd_error(plus(X_t_42,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    p_Rd_error(plus(t_139,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    p_Rd(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ~ p_Empty(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f112,plain,
    ! [X0] :
      ( X0 = n0
      | gt(X0,n0) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f118,plain,
    ! [X0] : level(X0) = int_level(X0),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f121,plain,
    ! [X0] :
      ( int_level(X0) != n0
      | p_Empty(X0) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ p_Reset(X0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f151,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f169,plain,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f70]) ).

fof(f190,plain,
    p_Rd_error(plus(t_139,n1)),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f191,plain,
    p_Rd(t_139),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f193,plain,
    ~ p_Empty(t_139),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f151,f127]) ).

fof(f215,plain,
    ! [X0] :
      ( p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f169,f127]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ p_Rd(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f214,f215]) ).

fof(f246,plain,
    ! [X0] :
      ( level(X0) != n0
      | p_Empty(X0) ),
    inference(backward_demodulation,[status(thm)],[f118,f121]) ).

fof(f250,plain,
    level(t_139) != n0,
    inference(resolution,[status(thm)],[f246,f193]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ p_Rd(X0)
      | ~ gt(level(X0),n0)
      | ~ p_Rd_error(plus(X0,n1)) ),
    inference(forward_demodulation,[status(thm)],[f118,f216]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ p_Rd(X0)
      | ~ p_Rd_error(plus(X0,n1))
      | level(X0) = n0 ),
    inference(resolution,[status(thm)],[f273,f112]) ).

fof(f286,plain,
    ( spl0_12
  <=> p_Rd_error(plus(t_139,n1)) ),
    introduced(split_symbol_definition) ).

fof(f288,plain,
    ( ~ p_Rd_error(plus(t_139,n1))
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f286]) ).

fof(f289,plain,
    ( spl0_13
  <=> level(t_139) = n0 ),
    introduced(split_symbol_definition) ).

fof(f290,plain,
    ( level(t_139) = n0
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f289]) ).

fof(f292,plain,
    ( ~ p_Rd_error(plus(t_139,n1))
    | level(t_139) = n0 ),
    inference(resolution,[status(thm)],[f279,f191]) ).

fof(f293,plain,
    ( ~ spl0_12
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f292,f286,f289]) ).

fof(f294,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f288,f190]) ).

fof(f295,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f294]) ).

fof(f296,plain,
    ( $false
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f290,f250]) ).

fof(f297,plain,
    ~ spl0_13,
    inference(contradiction_clause,[status(thm)],[f296]) ).

fof(f298,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f293,f295,f297]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : HWV021-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:48:41 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.028802 seconds
% 0.13/0.37  % CPU time: 0.041012 seconds
% 0.13/0.37  % Memory used: 13.274 MB
%------------------------------------------------------------------------------