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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR100+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 : n011.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 43.48s 6.14s
% Output   : CNFRefutation 43.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (  16 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   63 (  32   ~;  24   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   26 (  26   !;   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(f7224,axiom,
    s__subclass(s__Class31_1,s__Class31_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7225,axiom,
    s__subclass(s__Class31_2,s__Class31_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7226,axiom,
    s__subclass(s__Class31_3,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7227,axiom,
    s__instance(s__Animal31,s__Class31_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7228,conjecture,
    s__instance(s__Animal31,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7229,negated_conjecture,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(negated_conjecture,[status(cth)],[f7228]) ).

fof(f7269,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(f7270,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7269]) ).

fof(f7271,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7269]) ).

fof(f7272,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(f7273,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)],[f7272]) ).

fof(f7274,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass)
      | ~ s__instance(X0,X2)
      | ~ s__subclass(X2,X1)
      | s__instance(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7273]) ).

fof(f19235,plain,
    s__subclass(s__Class31_1,s__Class31_2),
    inference(cnf_transformation,[status(thm)],[f7224]) ).

fof(f19236,plain,
    s__subclass(s__Class31_2,s__Class31_3),
    inference(cnf_transformation,[status(thm)],[f7225]) ).

fof(f19237,plain,
    s__subclass(s__Class31_3,s__Class31_1),
    inference(cnf_transformation,[status(thm)],[f7226]) ).

fof(f19238,plain,
    s__instance(s__Animal31,s__Class31_2),
    inference(cnf_transformation,[status(thm)],[f7227]) ).

fof(f19239,plain,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(cnf_transformation,[status(thm)],[f7229]) ).

fof(f19661,plain,
    s__instance(s__Class31_1,s__SetOrClass),
    inference(resolution,[status(thm)],[f7270,f19235]) ).

fof(f19690,plain,
    ! [X0,X1,X2] :
      ( s__instance(X0,X2)
      | ~ s__instance(X2,s__SetOrClass)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7274,f7270]) ).

fof(f19741,plain,
    ! [X0] :
      ( ~ s__instance(s__Class31_1,s__SetOrClass)
      | ~ s__subclass(X0,s__Class31_1)
      | ~ s__instance(s__Animal31,X0) ),
    inference(resolution,[status(thm)],[f19690,f19239]) ).

fof(f19745,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class31_1)
      | ~ s__instance(s__Animal31,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f19741,f19661]) ).

fof(f19747,plain,
    ~ s__instance(s__Animal31,s__Class31_3),
    inference(resolution,[status(thm)],[f19745,f19237]) ).

fof(f19748,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class31_3)
      | ~ s__instance(s__Class31_3,s__SetOrClass)
      | ~ s__instance(s__Animal31,X0) ),
    inference(resolution,[status(thm)],[f19747,f19690]) ).

fof(f19749,plain,
    ( ~ s__instance(s__Class31_3,s__SetOrClass)
    | ~ s__instance(s__Animal31,s__Class31_2) ),
    inference(resolution,[status(thm)],[f19748,f19236]) ).

fof(f19750,plain,
    ~ s__instance(s__Class31_3,s__SetOrClass),
    inference(forward_subsumption_resolution,[status(thm)],[f19749,f19238]) ).

fof(f20587,plain,
    s__instance(s__Class31_3,s__SetOrClass),
    inference(resolution,[status(thm)],[f7271,f19236]) ).

fof(f20598,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20587,f19750]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR100+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n011.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:58:25 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.34/0.63  % Drodi V4.1.1
% 43.48/6.14  % Refutation found
% 43.48/6.14  % SZS status Theorem for theBenchmark: Theorem is valid
% 43.48/6.14  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.75/6.26  % Elapsed time: 5.890089 seconds
% 28.75/6.26  % CPU time: 44.318852 seconds
% 28.75/6.26  % Total memory used: 700.811 MB
% 28.75/6.26  % Net memory used: 692.593 MB
%------------------------------------------------------------------------------