%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS136+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:24:52 EDT 2024

% Result   : Theorem 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (   5 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  111 (  47   ~;  45   |;  11   &)
%                                         (   7 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (  15   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ( ! [X] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ( ! [X] : cowlThing(X)
    & ! [X] : ~ cowlNothing(X) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X] :
      ( ( ~ xsd_string(X)
        | ~ xsd_integer(X) )
      & ( xsd_string(X)
        | xsd_integer(X) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ( ! [X] :
        ( ~ xsd_string(X)
        | ~ xsd_integer(X) )
    & ! [X] :
        ( xsd_string(X)
        | xsd_integer(X) ) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f12,plain,
    ( ? [X] :
        ( ~ cowlThing(X)
        | cowlNothing(X) )
    | ? [X] :
        ( xsd_string(X)
      <~> ~ xsd_integer(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    ( ? [X] :
        ( ~ cowlThing(X)
        | cowlNothing(X) )
    | ? [X] :
        ( ( xsd_string(X)
          | ~ xsd_integer(X) )
        & ( ~ xsd_string(X)
          | xsd_integer(X) ) ) ),
    inference(NNF_transformation,[status(esa)],[f12]) ).

fof(f14,plain,
    ( ? [X] : ~ cowlThing(X)
    | ? [X] : cowlNothing(X)
    | ? [X] :
        ( ( xsd_string(X)
          | ~ xsd_integer(X) )
        & ( ~ xsd_string(X)
          | xsd_integer(X) ) ) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f15,plain,
    ( ~ cowlThing(sk0_0)
    | cowlNothing(sk0_1)
    | ( ( xsd_string(sk0_2)
        | ~ xsd_integer(sk0_2) )
      & ( ~ xsd_string(sk0_2)
        | xsd_integer(sk0_2) ) ) ),
    inference(skolemization,[status(esa)],[f14]) ).

fof(f16,plain,
    ( ~ cowlThing(sk0_0)
    | cowlNothing(sk0_1)
    | xsd_string(sk0_2)
    | ~ xsd_integer(sk0_2) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f17,plain,
    ( ~ cowlThing(sk0_0)
    | cowlNothing(sk0_1)
    | ~ xsd_string(sk0_2)
    | xsd_integer(sk0_2) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f18,plain,
    ( spl0_0
  <=> cowlThing(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f20,plain,
    ( ~ cowlThing(sk0_0)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f18]) ).

fof(f21,plain,
    ( spl0_1
  <=> cowlNothing(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f22,plain,
    ( cowlNothing(sk0_1)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f21]) ).

fof(f24,plain,
    ( spl0_2
  <=> xsd_string(sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f25,plain,
    ( xsd_string(sk0_2)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f24]) ).

fof(f27,plain,
    ( spl0_3
  <=> xsd_integer(sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f28,plain,
    ( xsd_integer(sk0_2)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f27]) ).

fof(f29,plain,
    ( ~ xsd_integer(sk0_2)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f27]) ).

fof(f30,plain,
    ( ~ spl0_0
    | spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f16,f18,f21,f24,f27]) ).

fof(f31,plain,
    ( ~ spl0_0
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f17,f18,f21,f24,f27]) ).

fof(f32,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f20,f6]) ).

fof(f33,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f32]) ).

fof(f34,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f22,f7]) ).

fof(f35,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f34]) ).

fof(f36,plain,
    ( ~ xsd_string(sk0_2)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f28,f10]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f36,f25]) ).

fof(f38,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f37]) ).

fof(f39,plain,
    ( xsd_string(sk0_2)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f29,f11]) ).

fof(f40,plain,
    ( spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f39,f24,f27]) ).

fof(f41,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f30,f31,f33,f35,f38,f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : KRS136+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 23:41:25 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36  % Elapsed time: 0.015290 seconds
% 0.14/0.36  % CPU time: 0.028892 seconds
% 0.14/0.36  % Total memory used: 1.910 MB
% 0.14/0.36  % Net memory used: 1.784 MB
%------------------------------------------------------------------------------