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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR099+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 12:13:40 PM UTC 2026

% Result   : Theorem 6.01s 1.28s
% Output   : CNFRefutation 6.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   34 (  14 unt;   4 def)
%            Number of atoms       :   69 (   9 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   59 (  24   ~;  24   |;   4   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   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/sandbox/benchmark/theBenchmark.p') ).

fof(f1217,axiom,
    ! [V__INST1,V__INST2] :
      ( ( s__instance(V__INST1,s__SetOrClass)
        & s__instance(V__INST2,s__SetOrClass) )
     => ( ( s__subclass(V__INST2,V__INST1)
          & s__subclass(V__INST1,V__INST2) )
       => V__INST1 = V__INST2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7219,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7220,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7221,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7222,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(negated_conjecture,[status(cth)],[f7221]) ).

fof(f7262,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(f7263,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7262]) ).

fof(f9516,plain,
    ! [V__INST1,V__INST2] :
      ( V__INST1 = V__INST2
      | ~ s__subclass(V__INST2,V__INST1)
      | ~ s__subclass(V__INST1,V__INST2)
      | ~ s__instance(V__INST1,s__SetOrClass)
      | ~ s__instance(V__INST2,s__SetOrClass) ),
    inference(pre_NNF_transformation,[status(thm)],[f1217]) ).

fof(f9517,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f9516]) ).

fof(f19223,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(cnf_transformation,[status(thm)],[f7219]) ).

fof(f19224,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(cnf_transformation,[status(thm)],[f7220]) ).

fof(f19225,plain,
    s__Class30_1 != s__Reptile,
    inference(cnf_transformation,[status(thm)],[f7222]) ).

fof(f19647,definition,
    ( sQ67_spl
  <=> s__instance(s__Reptile,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f19649,plain,
    ( sQ67_spl
    | ~ s__instance(s__Reptile,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f19647]) ).

fof(f19653,definition,
    ( sQ69_spl
  <=> s__instance(s__Class30_1,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f19655,plain,
    ( sQ69_spl
    | ~ s__instance(s__Class30_1,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f19653]) ).

fof(f19656,definition,
    ( sQ70_spl
  <=> s__Class30_1 = s__Reptile ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f19657,plain,
    ( ~ sQ70_spl
    | s__Class30_1 = s__Reptile ),
    inference(component_clause,[status(thm)],[f19656]) ).

fof(f19674,plain,
    ( ~ sQ70_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f19657,f19225]) ).

fof(f19675,plain,
    ~ sQ70_spl,
    inference(contradiction_clause,[status(thm)],[f19674]) ).

fof(f19717,plain,
    s__instance(s__Class30_1,s__SetOrClass),
    inference(resolution,[status(thm)],[f7263,f19223]) ).

fof(f19718,plain,
    s__instance(s__Reptile,s__SetOrClass),
    inference(resolution,[status(thm)],[f7263,f19224]) ).

fof(f19720,plain,
    ( sQ69_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f19717,f19655]) ).

fof(f19721,plain,
    sQ69_spl,
    inference(contradiction_clause,[status(thm)],[f19720]) ).

fof(f19722,plain,
    ( sQ67_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f19718,f19649]) ).

fof(f19723,plain,
    sQ67_spl,
    inference(contradiction_clause,[status(thm)],[f19722]) ).

fof(f24589,definition,
    ( sQ816_spl
  <=> s__subclass(s__Class30_1,s__Reptile) ),
    introduced(definition,[new_symbols(definition,[sQ816_spl])],[split_symbol_definition]) ).

fof(f24591,plain,
    ( sQ816_spl
    | ~ s__subclass(s__Class30_1,s__Reptile) ),
    inference(component_clause,[status(thm)],[f24589]) ).

fof(f33292,plain,
    ( s__Class30_1 = s__Reptile
    | ~ s__subclass(s__Class30_1,s__Reptile)
    | ~ s__instance(s__Class30_1,s__SetOrClass)
    | ~ s__instance(s__Reptile,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f19224,f9517]) ).

fof(f33294,plain,
    ( sQ70_spl
    | ~ sQ816_spl
    | ~ sQ69_spl
    | ~ sQ67_spl ),
    inference(split_clause,[status(thm)],[f33292,f19647,f19653,f24589,f19656]) ).

fof(f33298,plain,
    ( sQ816_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24591,f19223]) ).

fof(f33299,plain,
    sQ816_spl,
    inference(contradiction_clause,[status(thm)],[f33298]) ).

fof(f33300,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f19675,f19721,f19723,f33294,f33299]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR099+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Mon Sep 21 14:58:08 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.08/0.42  % Drodi V4.1.1
% 6.01/1.28  % Refutation found
% 6.01/1.28  % SZS status Theorem for theBenchmark: Theorem is valid
% 6.01/1.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.49/1.35  % Elapsed time: 1.034726 seconds
% 6.49/1.35  % CPU time: 7.023879 seconds
% 6.49/1.35  % Total memory used: 585.702 MB
% 6.49/1.35  % Net memory used: 581.496 MB
%------------------------------------------------------------------------------