TSTP Solution File: CSR094+4 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR094+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:15:05 EDT 2024

% Result   : Theorem 56.96s 7.73s
% Output   : CNFRefutation 58.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            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 :   81 (  44   ~;  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__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

fof(f7219,conjecture,
    s__instance(s__Rover24_1,s__CorpuscularObject),
    file('/export/starexec/sandbox/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__subclass(V__X,V__Y)
      | ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f19843,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7265,f7262]) ).

fof(f19921,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19843,f7261]) ).

fof(f21069,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Canine)
      | s__instance(X0,s__Carnivore) ),
    inference(resolution,[status(thm)],[f17480,f19921]) ).

fof(f21428,plain,
    ! [X0,X1] :
      ( ~ s__subclass(s__Carnivore,X0)
      | s__instance(X1,X0)
      | ~ s__instance(X1,s__Canine) ),
    inference(resolution,[status(thm)],[f19921,f21069]) ).

fof(f21604,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__CorpuscularObject)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f19921,f19221]) ).

fof(f23114,plain,
    ~ s__instance(s__Rover24_1,s__OrganicObject),
    inference(resolution,[status(thm)],[f17320,f21604]) ).

fof(f33077,plain,
    ! [X0] :
      ( ~ s__subclass(s__Carnivore,X0)
      | s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f21428,f19220]) ).

fof(f37772,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__OrganicObject)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f23114,f19921]) ).

fof(f38022,plain,
    ~ s__instance(s__Rover24_1,s__Organism),
    inference(resolution,[status(thm)],[f17327,f37772]) ).

fof(f38044,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Organism)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f38022,f19921]) ).

fof(f38062,plain,
    ~ s__instance(s__Rover24_1,s__Animal),
    inference(resolution,[status(thm)],[f17381,f38044]) ).

fof(f38102,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Animal)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f38062,f19921]) ).

fof(f38105,plain,
    ~ s__instance(s__Rover24_1,s__Vertebrate),
    inference(resolution,[status(thm)],[f38102,f17409]) ).

fof(f38118,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Vertebrate)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f38105,f19921]) ).

fof(f38125,plain,
    ~ s__instance(s__Rover24_1,s__WarmBloodedVertebrate),
    inference(resolution,[status(thm)],[f17442,f38118]) ).

fof(f38127,plain,
    s__instance(s__Rover24_1,s__Mammal),
    inference(resolution,[status(thm)],[f17475,f33077]) ).

fof(f38190,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__WarmBloodedVertebrate)
      | ~ s__instance(s__Rover24_1,X0) ),
    inference(resolution,[status(thm)],[f38125,f19921]) ).

fof(f38191,plain,
    ~ s__instance(s__Rover24_1,s__Mammal),
    inference(resolution,[status(thm)],[f38190,f17462]) ).

fof(f38251,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f38191,f38127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : CSR094+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 23:39:56 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.37/0.54  % Drodi V3.6.0
% 56.96/7.73  % Refutation found
% 56.96/7.73  % SZS status Theorem for theBenchmark: Theorem is valid
% 56.96/7.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.35/7.87  % Elapsed time: 7.523091 seconds
% 58.35/7.87  % CPU time: 57.869044 seconds
% 58.35/7.87  % Total memory used: 625.388 MB
% 58.35/7.87  % Net memory used: 620.455 MB
%------------------------------------------------------------------------------