TSTP Solution File: CSR094+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR094+2 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 84.79s 11.39s
% Output   : CNFRefutation 88.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  31   ~;  29   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   37 (  37   !;   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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f1101,axiom,
    ! [V__INST] :
      ( s__instance(V__INST,s__SetOrClass)
     => s__subclass(V__INST,V__INST) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34458,axiom,
    s__subclass(s__Canine,s__CorpuscularObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37982,axiom,
    s__instance(s__Rover24_1,s__Canine),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37983,conjecture,
    s__instance(s__Rover24_1,s__CorpuscularObject),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37984,negated_conjecture,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(negated_conjecture,[status(cth)],[f37983]) ).

fof(f38024,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(f38025,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f38024]) ).

fof(f38026,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f38024]) ).

fof(f38027,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(f38028,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)],[f38027]) ).

fof(f38029,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)],[f38028]) ).

fof(f40093,plain,
    ! [V__INST] :
      ( ~ s__instance(V__INST,s__SetOrClass)
      | s__subclass(V__INST,V__INST) ),
    inference(pre_NNF_transformation,[status(esa)],[f1101]) ).

fof(f40094,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__SetOrClass)
      | s__subclass(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f40093]) ).

fof(f83146,plain,
    s__subclass(s__Canine,s__CorpuscularObject),
    inference(cnf_transformation,[status(esa)],[f34458]) ).

fof(f86670,plain,
    s__instance(s__Rover24_1,s__Canine),
    inference(cnf_transformation,[status(esa)],[f37982]) ).

fof(f86671,plain,
    ~ s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(cnf_transformation,[status(esa)],[f37984]) ).

fof(f88008,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)],[f38029,f38026]) ).

fof(f88009,plain,
    ! [X0,X1,X2,X3] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1)
      | ~ s__subclass(X3,X0) ),
    inference(resolution,[status(thm)],[f88008,f38026]) ).

fof(f88167,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f88009,f40094]) ).

fof(f88168,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f88167,f38025]) ).

fof(f88207,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Canine)
      | s__instance(X0,s__CorpuscularObject) ),
    inference(resolution,[status(thm)],[f88168,f83146]) ).

fof(f88579,plain,
    s__instance(s__Rover24_1,s__CorpuscularObject),
    inference(resolution,[status(thm)],[f88207,f86670]) ).

fof(f88580,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f88579,f86671]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : CSR094+2 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Tue Apr 30 00:04:05 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.51/0.73  % Drodi V3.6.0
% 84.79/11.39  % Refutation found
% 84.79/11.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 84.79/11.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 88.15/11.83  % Elapsed time: 11.517152 seconds
% 88.15/11.83  % CPU time: 85.980085 seconds
% 88.15/11.83  % Total memory used: 1.802 GB
% 88.15/11.83  % Net memory used: 1.797 GB
%------------------------------------------------------------------------------