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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR094+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:37 PM UTC 2026

% Result   : Theorem 168.88s 22.10s
% Output   : CNFRefutation 168.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   48 (  29 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   85 (  48   ~;  30   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [V__X,V__Y] :
      ( s__subclass(V__X,V__Y)
     => ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [V__X,V__Y,V__Z] :
      ( ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) )
     => ( ( s__instance(V__Z,V__X)
          & s__subclass(V__X,V__Y) )
       => s__instance(V__Z,V__Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5854,axiom,
    s__subclass(s__OrganicObject,s__CorpuscularObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5861,axiom,
    s__subclass(s__Organism,s__OrganicObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5906,axiom,
    s__subclass(s__Animal,s__Organism),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5923,axiom,
    s__subclass(s__Vertebrate,s__Animal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5956,axiom,
    s__subclass(s__WarmBloodedVertebrate,s__Vertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5972,axiom,
    s__subclass(s__Mammal,s__WarmBloodedVertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5985,axiom,
    s__subclass(s__Carnivore,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5988,axiom,
    s__subclass(s__Canine,s__Carnivore),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7218,axiom,
    s__instance(s__Rover24_1,s__Canine),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7219,conjecture,
    s__instance(s__Rover24_1,s__CorpuscularObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7220,negated_conjecture,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(negated_conjecture,[status(cth)],[f7219]) ).

fof(f7260,plain,
    ! [V__X,V__Y] :
      ( ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) )
      | ~ s__subclass(V__X,V__Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f7261,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7260]) ).

fof(f7262,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,X0)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7260]) ).

fof(f7263,plain,
    ! [V__X,V__Y,V__Z] :
      ( s__instance(V__Z,V__Y)
      | ~ s__instance(V__Z,V__X)
      | ~ s__subclass(V__X,V__Y)
      | ~ s__instance(V__X,s__SetOrClass)
      | ~ s__instance(V__Y,s__SetOrClass) ),
    inference(pre_NNF_transformation,[status(thm)],[f27]) ).

fof(f7264,plain,
    ! [V__X,V__Y] :
      ( ! [V__Z] :
          ( s__instance(V__Z,V__Y)
          | ~ s__instance(V__Z,V__X)
          | ~ s__subclass(V__X,V__Y) )
      | ~ s__instance(V__X,s__SetOrClass)
      | ~ s__instance(V__Y,s__SetOrClass) ),
    inference(miniscoping,[status(thm)],[f7263]) ).

fof(f7265,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X0)
      | ~ s__instance(X2,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7264]) ).

fof(f17320,plain,
    s__subclass(s__OrganicObject,s__CorpuscularObject),
    inference(cnf_transformation,[status(thm)],[f5854]) ).

fof(f17327,plain,
    s__subclass(s__Organism,s__OrganicObject),
    inference(cnf_transformation,[status(thm)],[f5861]) ).

fof(f17381,plain,
    s__subclass(s__Animal,s__Organism),
    inference(cnf_transformation,[status(thm)],[f5906]) ).

fof(f17409,plain,
    s__subclass(s__Vertebrate,s__Animal),
    inference(cnf_transformation,[status(thm)],[f5923]) ).

fof(f17442,plain,
    s__subclass(s__WarmBloodedVertebrate,s__Vertebrate),
    inference(cnf_transformation,[status(thm)],[f5956]) ).

fof(f17462,plain,
    s__subclass(s__Mammal,s__WarmBloodedVertebrate),
    inference(cnf_transformation,[status(thm)],[f5972]) ).

fof(f17475,plain,
    s__subclass(s__Carnivore,s__Mammal),
    inference(cnf_transformation,[status(thm)],[f5985]) ).

fof(f17480,plain,
    s__subclass(s__Canine,s__Carnivore),
    inference(cnf_transformation,[status(thm)],[f5988]) ).

fof(f19220,plain,
    s__instance(s__Rover24_1,s__Canine),
    inference(cnf_transformation,[status(thm)],[f7218]) ).

fof(f19221,plain,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(cnf_transformation,[status(thm)],[f7220]) ).

fof(f19568,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1)
      | ~ s__subclass(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7265,f7262]) ).

fof(f19571,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f19568,f7261]) ).

fof(f20852,plain,
    ! [X0] :
      ( ~ s__instance(s__Rover24_1,X0)
      | ~ s__subclass(X0,s__CorpuscularObject) ),
    inference(resolution,[status(thm)],[f19571,f19221]) ).

fof(f20974,plain,
    ~ s__instance(s__Rover24_1,s__OrganicObject),
    inference(resolution,[status(thm)],[f17320,f20852]) ).

fof(f20975,plain,
    ! [X0] :
      ( ~ s__instance(s__Rover24_1,X0)
      | ~ s__subclass(X0,s__OrganicObject) ),
    inference(resolution,[status(thm)],[f20974,f19571]) ).

fof(f21124,plain,
    ~ s__instance(s__Rover24_1,s__Organism),
    inference(resolution,[status(thm)],[f17327,f20975]) ).

fof(f21125,plain,
    ! [X0] :
      ( ~ s__instance(s__Rover24_1,X0)
      | ~ s__subclass(X0,s__Organism) ),
    inference(resolution,[status(thm)],[f21124,f19571]) ).

fof(f21129,plain,
    ~ s__instance(s__Rover24_1,s__Animal),
    inference(resolution,[status(thm)],[f21125,f17381]) ).

fof(f21131,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Animal)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21129,f19571]) ).

fof(f21137,plain,
    ~ s__instance(s__Rover24_1,s__Vertebrate),
    inference(resolution,[status(thm)],[f21131,f17409]) ).

fof(f21140,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Vertebrate)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21137,f19571]) ).

fof(f21154,plain,
    ~ s__instance(s__Rover24_1,s__WarmBloodedVertebrate),
    inference(resolution,[status(thm)],[f21140,f17442]) ).

fof(f21155,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__WarmBloodedVertebrate)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21154,f19571]) ).

fof(f21176,plain,
    ~ s__instance(s__Rover24_1,s__Mammal),
    inference(resolution,[status(thm)],[f21155,f17462]) ).

fof(f21178,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Mammal)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21176,f19571]) ).

fof(f21200,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,s__Mammal)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21178,f19571]) ).

fof(f21208,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Mammal)
      | ~ s__subclass(s__Canine,X0) ),
    inference(resolution,[status(thm)],[f21200,f19220]) ).

fof(f21230,plain,
    ~ s__subclass(s__Carnivore,s__Mammal),
    inference(resolution,[status(thm)],[f21208,f17480]) ).

fof(f21231,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21230,f17475]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR094+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n003.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 14:57:46 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.40/0.64  % Drodi V4.1.1
% 168.88/22.10  % Refutation found
% 168.88/22.10  % SZS status Theorem for theBenchmark: Theorem is valid
% 168.88/22.10  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.31/22.32  % Elapsed time: 21.940109 seconds
% 10.31/22.32  % CPU time: 171.145018 seconds
% 10.31/22.32  % Total memory used: 878.910 MB
% 10.31/22.32  % Net memory used: 849.084 MB
%------------------------------------------------------------------------------