%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC276-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:39:52 EDT 2023

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   55 (  14 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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f197,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f202,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f434,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f435,plain,
    ~ totalorderedP(sk1),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f437,plain,
    ( ssItem(sk5)
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f440,plain,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f449,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(split_symbol_definition) ).

fof(f456,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f457,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f456]) ).

fof(f459,plain,
    ( spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f437,f449,f456]) ).

fof(f460,plain,
    ( spl0_5
  <=> cons(sk5,nil) = sk3 ),
    introduced(split_symbol_definition) ).

fof(f461,plain,
    ( cons(sk5,nil) = sk3
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f460]) ).

fof(f468,plain,
    ( spl0_5
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f440,f460,f456]) ).

fof(f518,plain,
    ( cons(sk5,nil) = sk1
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f434,f461]) ).

fof(f524,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f434,f457]) ).

fof(f525,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f524,f435]) ).

fof(f526,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f525,f202]) ).

fof(f527,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f526]) ).

fof(f528,plain,
    ( spl0_12
  <=> totalorderedP(sk1) ),
    introduced(split_symbol_definition) ).

fof(f529,plain,
    ( totalorderedP(sk1)
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f531,plain,
    ( ~ ssItem(sk5)
    | totalorderedP(sk1)
    | ~ spl0_5 ),
    inference(paramodulation,[status(thm)],[f518,f265]) ).

fof(f532,plain,
    ( ~ spl0_2
    | spl0_12
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f531,f449,f528,f460]) ).

fof(f590,plain,
    ( $false
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f435,f529]) ).

fof(f591,plain,
    ~ spl0_12,
    inference(contradiction_clause,[status(thm)],[f590]) ).

fof(f592,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f459,f468,f527,f532,f591]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC276-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.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 : Tue May 30 11:35:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.030109 seconds
% 0.13/0.38  % CPU time: 0.050120 seconds
% 0.13/0.38  % Memory used: 16.039 MB
%------------------------------------------------------------------------------