%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC286-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:45:12 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% 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(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,axiom,
    ! [U] :
      ( ~ ssItem(U)
      | strictorderedP(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,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f198,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f203,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f266,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    inference(cnf_transformation,[status(esa)],[f66]) ).

fof(f436,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f437,plain,
    ~ strictorderedP(sk1),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f439,plain,
    ( ssItem(sk5)
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f444,plain,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    inference(cnf_transformation,[status(esa)],[f198]) ).

fof(f455,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(split_symbol_definition) ).

fof(f462,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f463,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f462]) ).

fof(f465,plain,
    ( spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f439,f455,f462]) ).

fof(f466,plain,
    ( spl0_5
  <=> cons(sk5,nil) = sk3 ),
    introduced(split_symbol_definition) ).

fof(f467,plain,
    ( cons(sk5,nil) = sk3
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f466]) ).

fof(f478,plain,
    ( spl0_5
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f444,f466,f462]) ).

fof(f537,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f436,f463]) ).

fof(f538,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f537,f437]) ).

fof(f539,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f538,f203]) ).

fof(f540,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f539]) ).

fof(f548,plain,
    ( spl0_8
  <=> strictorderedP(sk3) ),
    introduced(split_symbol_definition) ).

fof(f549,plain,
    ( strictorderedP(sk3)
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,plain,
    ( ~ ssItem(sk5)
    | strictorderedP(sk3)
    | ~ spl0_5 ),
    inference(paramodulation,[status(thm)],[f467,f266]) ).

fof(f552,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f551,f455,f548,f466]) ).

fof(f633,plain,
    ( strictorderedP(sk1)
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f436,f549]) ).

fof(f634,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f633,f437]) ).

fof(f635,plain,
    ~ spl0_8,
    inference(contradiction_clause,[status(thm)],[f634]) ).

fof(f636,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f465,f478,f540,f552,f635]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC286-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:08:29 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.026149 seconds
% 0.14/0.38  % CPU time: 0.040536 seconds
% 0.14/0.38  % Total memory used: 14.366 MB
% 0.14/0.38  % Net memory used: 14.338 MB
%------------------------------------------------------------------------------