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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR100+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 : n019.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 12:13:41 PM UTC 2026

% Result   : Theorem 142.34s 18.94s
% Output   : CNFRefutation 137.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   74 (  36   ~;  31   |;   4   &)
%                                         (   0 <=>;   3  =>;   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    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   33 (  33   !;   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(f27,axiom,
    ! [V__X,V__Y,V__Z] :
      ( ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) )
     => ( ( s__instance(V__Z,V__X)
          & s__subclass(V__X,V__Y) )
       => s__instance(V__Z,V__Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1026,axiom,
    s__subclass(s__Class,s__SetOrClass),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16749,axiom,
    s__instance(s__Class31_1,s__Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16756,axiom,
    s__subclass(s__Class31_2,s__Class31_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16757,axiom,
    s__subclass(s__Class31_3,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16758,axiom,
    s__instance(s__Animal31,s__Class31_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16759,conjecture,
    s__instance(s__Animal31,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16760,negated_conjecture,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(negated_conjecture,[status(cth)],[f16759]) ).

fof(f16800,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(f16801,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f16800]) ).

fof(f16802,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f16800]) ).

fof(f16803,plain,
    ! [V__X,V__Y,V__Z] :
      ( s__instance(V__Z,V__Y)
      | ~ s__instance(V__Z,V__X)
      | ~ s__subclass(V__X,V__Y)
      | ~ s__instance(V__X,s__SetOrClass)
      | ~ s__instance(V__Y,s__SetOrClass) ),
    inference(pre_NNF_transformation,[status(thm)],[f27]) ).

fof(f16804,plain,
    ! [V__X,V__Y] :
      ( ! [V__Z] :
          ( s__instance(V__Z,V__Y)
          | ~ s__instance(V__Z,V__X)
          | ~ s__subclass(V__X,V__Y) )
      | ~ s__instance(V__X,s__SetOrClass)
      | ~ s__instance(V__Y,s__SetOrClass) ),
    inference(miniscoping,[status(thm)],[f16803]) ).

fof(f16805,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f16804]) ).

fof(f18644,plain,
    s__subclass(s__Class,s__SetOrClass),
    inference(cnf_transformation,[status(thm)],[f1026]) ).

fof(f44213,plain,
    s__instance(s__Class31_1,s__Class),
    inference(cnf_transformation,[status(thm)],[f16749]) ).

fof(f44220,plain,
    s__subclass(s__Class31_2,s__Class31_3),
    inference(cnf_transformation,[status(thm)],[f16756]) ).

fof(f44221,plain,
    s__subclass(s__Class31_3,s__Class31_1),
    inference(cnf_transformation,[status(thm)],[f16757]) ).

fof(f44222,plain,
    s__instance(s__Animal31,s__Class31_2),
    inference(cnf_transformation,[status(thm)],[f16758]) ).

fof(f44223,plain,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(cnf_transformation,[status(thm)],[f16760]) ).

fof(f45541,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X2,X1)
      | ~ s__instance(X0,X2)
      | ~ s__instance(X1,s__SetOrClass)
      | s__instance(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16805,f16801]) ).

fof(f46857,plain,
    ! [X0] :
      ( ~ s__subclass(s__Class,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Class31_1,X0) ),
    inference(resolution,[status(thm)],[f45541,f44213]) ).

fof(f46858,plain,
    ! [X0] :
      ( ~ s__subclass(s__Class31_2,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Animal31,X0) ),
    inference(resolution,[status(thm)],[f45541,f44222]) ).

fof(f46868,plain,
    ! [X0] :
      ( s__instance(s__Class31_1,X0)
      | ~ s__subclass(s__Class,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46857,f16802]) ).

fof(f47005,plain,
    ! [X0] :
      ( s__instance(s__Animal31,X0)
      | ~ s__subclass(s__Class31_2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46858,f16802]) ).

fof(f47586,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,s__Class31_1)
      | ~ s__instance(X0,X1)
      | s__instance(X0,s__Class31_1)
      | ~ s__subclass(s__Class,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f46868,f45541]) ).

fof(f47618,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,s__Class31_1)
      | s__instance(X0,s__Class31_1)
      | ~ s__instance(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f47586,f18644]) ).

fof(f47620,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class31_1)
      | ~ s__instance(s__Animal31,X0) ),
    inference(resolution,[status(thm)],[f47618,f44223]) ).

fof(f50098,plain,
    ! [X0] :
      ( ~ s__subclass(s__Class31_2,X0)
      | ~ s__subclass(X0,s__Class31_1) ),
    inference(resolution,[status(thm)],[f47620,f47005]) ).

fof(f50111,plain,
    ~ s__subclass(s__Class31_3,s__Class31_1),
    inference(resolution,[status(thm)],[f50098,f44220]) ).

fof(f50113,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f50111,f44221]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR100+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 14:58:34 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.66/0.94  % Drodi V4.1.1
% 142.34/18.94  % Refutation found
% 142.34/18.94  % SZS status Theorem for theBenchmark: Theorem is valid
% 142.34/18.94  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 55.08/19.14  % Elapsed time: 18.762068 seconds
% 55.08/19.14  % CPU time: 143.911826 seconds
% 55.08/19.14  % Total memory used: 1.367 GB
% 55.08/19.14  % Net memory used: 1.353 GB
%------------------------------------------------------------------------------