%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC259-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 20:45:07 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   55 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  19   ~;  20   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f67,axiom,
    ! [U] :
      ( ~ ssItem(U)
      | totalorderedP(cons(U,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f203,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f210,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f442,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f443,plain,
    ~ totalorderedP(sk1),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f445,plain,
    ( ssItem(sk5)
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f456,plain,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f203]) ).

fof(f469,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(split_symbol_definition) ).

fof(f476,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f477,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f476]) ).

fof(f479,plain,
    ( spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f445,f469,f476]) ).

fof(f488,plain,
    ( spl0_7
  <=> cons(sk5,nil) = sk3 ),
    introduced(split_symbol_definition) ).

fof(f489,plain,
    ( cons(sk5,nil) = sk3
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f506,plain,
    ( spl0_7
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f456,f488,f476]) ).

fof(f562,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f442,f477]) ).

fof(f565,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f562,f443]) ).

fof(f566,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f565,f210]) ).

fof(f567,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f566]) ).

fof(f574,plain,
    ( spl0_11
  <=> totalorderedP(sk3) ),
    introduced(split_symbol_definition) ).

fof(f575,plain,
    ( totalorderedP(sk3)
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,plain,
    ( ~ ssItem(sk5)
    | totalorderedP(sk3)
    | ~ spl0_7 ),
    inference(paramodulation,[status(thm)],[f489,f273]) ).

fof(f578,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f577,f469,f574,f488]) ).

fof(f589,plain,
    ( totalorderedP(sk1)
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f442,f575]) ).

fof(f590,plain,
    ( $false
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f589,f443]) ).

fof(f591,plain,
    ~ spl0_11,
    inference(contradiction_clause,[status(thm)],[f590]) ).

fof(f592,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f479,f506,f567,f578,f591]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWC259-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n005.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Mon Apr 29 23:59:56 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34  % Elapsed time: 0.024027 seconds
% 0.15/0.34  % CPU time: 0.037127 seconds
% 0.15/0.34  % Total memory used: 14.461 MB
% 0.15/0.34  % Net memory used: 14.437 MB
%------------------------------------------------------------------------------