TSTP Solution File: CSR099+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR099+3 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:15:07 EDT 2024

% Result   : Theorem 215.16s 30.29s
% Output   : CNFRefutation 215.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   57 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   55 (  24   ~;  22   |;   4   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,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(f28085,axiom,
    ! [V__INST1,V__INST2] :
      ( ( s__instance(V__INST2,s__SetOrClass)
        & s__instance(V__INST1,s__SetOrClass) )
     => ( ( s__subclass(V__INST1,V__INST2)
          & s__subclass(V__INST2,V__INST1) )
       => V__INST1 = V__INST2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f145103,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f145104,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f145105,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f145106,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(negated_conjecture,[status(cth)],[f145105]) ).

fof(f201704,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)],[f26456]) ).

fof(f201706,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f201704]) ).

fof(f204917,plain,
    ! [V__INST1,V__INST2] :
      ( ~ s__instance(V__INST2,s__SetOrClass)
      | ~ s__instance(V__INST1,s__SetOrClass)
      | ~ s__subclass(V__INST1,V__INST2)
      | ~ s__subclass(V__INST2,V__INST1)
      | V__INST1 = V__INST2 ),
    inference(pre_NNF_transformation,[status(esa)],[f28085]) ).

fof(f204918,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X1,X0)
      | ~ s__subclass(X0,X1)
      | X1 = X0 ),
    inference(cnf_transformation,[status(esa)],[f204917]) ).

fof(f335933,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(cnf_transformation,[status(esa)],[f145103]) ).

fof(f335934,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(cnf_transformation,[status(esa)],[f145104]) ).

fof(f335935,plain,
    s__Class30_1 != s__Reptile,
    inference(cnf_transformation,[status(esa)],[f145106]) ).

fof(f346732,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f204918,f201706]) ).

fof(f346768,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | X0 = X1
      | ~ s__subclass(X2,X0) ),
    inference(resolution,[status(thm)],[f346732,f201706]) ).

fof(f347463,plain,
    ( spl0_957
  <=> s__subclass(s__Class30_1,s__Reptile) ),
    introduced(split_symbol_definition) ).

fof(f347465,plain,
    ( ~ s__subclass(s__Class30_1,s__Reptile)
    | spl0_957 ),
    inference(component_clause,[status(thm)],[f347463]) ).

fof(f347466,plain,
    ( spl0_958
  <=> s__Class30_1 = s__Reptile ),
    introduced(split_symbol_definition) ).

fof(f347467,plain,
    ( s__Class30_1 = s__Reptile
    | ~ spl0_958 ),
    inference(component_clause,[status(thm)],[f347466]) ).

fof(f347469,plain,
    ( ~ s__subclass(s__Class30_1,s__Reptile)
    | s__Class30_1 = s__Reptile ),
    inference(resolution,[status(thm)],[f346768,f335934]) ).

fof(f347470,plain,
    ( ~ spl0_957
    | spl0_958 ),
    inference(split_clause,[status(thm)],[f347469,f347463,f347466]) ).

fof(f347565,plain,
    ( $false
    | spl0_957 ),
    inference(forward_subsumption_resolution,[status(thm)],[f347465,f335933]) ).

fof(f347566,plain,
    spl0_957,
    inference(contradiction_clause,[status(thm)],[f347565]) ).

fof(f347567,plain,
    ( $false
    | ~ spl0_958 ),
    inference(forward_subsumption_resolution,[status(thm)],[f347467,f335935]) ).

fof(f347568,plain,
    ~ spl0_958,
    inference(contradiction_clause,[status(thm)],[f347567]) ).

fof(f347569,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f347470,f347566,f347568]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : CSR099+3 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31  % Computer : n003.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Tue Apr 30 00:05:48 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 3.35/3.54  % Drodi V3.6.0
% 215.16/30.29  % Refutation found
% 215.16/30.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 215.16/30.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 218.10/30.96  % Elapsed time: 30.392109 seconds
% 218.10/30.96  % CPU time: 211.878208 seconds
% 218.10/30.96  % Total memory used: 7.080 GB
% 218.10/30.96  % Net memory used: 7.050 GB
%------------------------------------------------------------------------------