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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR099+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 24.84s 4.08s
% Output   : CNFRefutation 15.95s
% 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(f1440,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(f16750,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16751,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16752,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16753,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(negated_conjecture,[status(cth)],[f16752]) ).

fof(f16793,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(f16794,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f16793]) ).

fof(f19531,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)],[f1440]) ).

fof(f19532,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)],[f19531]) ).

fof(f44207,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(cnf_transformation,[status(thm)],[f16750]) ).

fof(f44208,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(cnf_transformation,[status(thm)],[f16751]) ).

fof(f44209,plain,
    s__Class30_1 != s__Reptile,
    inference(cnf_transformation,[status(thm)],[f16753]) ).

fof(f45315,definition,
    ( sQ240_spl
  <=> s__instance(s__Class30_1,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).

fof(f45317,plain,
    ( sQ240_spl
    | ~ s__instance(s__Class30_1,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f45315]) ).

fof(f45321,definition,
    ( sQ242_spl
  <=> s__instance(s__Reptile,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).

fof(f45323,plain,
    ( sQ242_spl
    | ~ s__instance(s__Reptile,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f45321]) ).

fof(f45324,definition,
    ( sQ243_spl
  <=> s__Reptile = s__Class30_1 ),
    introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).

fof(f45325,plain,
    ( ~ sQ243_spl
    | s__Reptile = s__Class30_1 ),
    inference(component_clause,[status(thm)],[f45324]) ).

fof(f45332,plain,
    ( ~ sQ243_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f45325,f44209]) ).

fof(f45333,plain,
    ~ sQ243_spl,
    inference(contradiction_clause,[status(thm)],[f45332]) ).

fof(f45341,plain,
    s__instance(s__Reptile,s__SetOrClass),
    inference(resolution,[status(thm)],[f16794,f44208]) ).

fof(f45342,plain,
    s__instance(s__Class30_1,s__SetOrClass),
    inference(resolution,[status(thm)],[f16794,f44207]) ).

fof(f45343,plain,
    ( sQ242_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f45341,f45323]) ).

fof(f45344,plain,
    sQ242_spl,
    inference(contradiction_clause,[status(thm)],[f45343]) ).

fof(f45345,plain,
    ( sQ240_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f45342,f45317]) ).

fof(f45346,plain,
    sQ240_spl,
    inference(contradiction_clause,[status(thm)],[f45345]) ).

fof(f51234,definition,
    ( sQ1103_spl
  <=> s__subclass(s__Reptile,s__Class30_1) ),
    introduced(definition,[new_symbols(definition,[sQ1103_spl])],[split_symbol_definition]) ).

fof(f51236,plain,
    ( sQ1103_spl
    | ~ s__subclass(s__Reptile,s__Class30_1) ),
    inference(component_clause,[status(thm)],[f51234]) ).

fof(f60556,plain,
    ( s__Class30_1 = s__Reptile
    | ~ s__subclass(s__Reptile,s__Class30_1)
    | ~ s__instance(s__Class30_1,s__SetOrClass)
    | ~ s__instance(s__Reptile,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f19532,f44207]) ).

fof(f61598,plain,
    ( sQ243_spl
    | ~ sQ1103_spl
    | ~ sQ240_spl
    | ~ sQ242_spl ),
    inference(split_clause,[status(thm)],[f60556,f45321,f45315,f51234,f45324]) ).

fof(f61793,plain,
    ( sQ1103_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f51236,f44208]) ).

fof(f61794,plain,
    sQ1103_spl,
    inference(contradiction_clause,[status(thm)],[f61793]) ).

fof(f61795,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f45333,f45344,f45346,f61598,f61794]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR099+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n013.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 14:57:51 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.66/0.92  % Drodi V4.1.1
% 24.84/4.08  % Refutation found
% 24.84/4.08  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.84/4.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.95/4.25  % Elapsed time: 3.879213 seconds
% 15.95/4.25  % CPU time: 25.890053 seconds
% 15.95/4.25  % Total memory used: 1.164 GB
% 15.95/4.25  % Net memory used: 1.157 GB
%------------------------------------------------------------------------------