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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR118+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 : n015.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 12:14:15 PM UTC 2026

% Result   : Theorem 151.80s 20.05s
% Output   : CNFRefutation 119.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  15 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   61 (  31   ~;  23   |;   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   :   29 (  29   !;   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(f5999,axiom,
    s__subclass(s__Primate,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6009,axiom,
    s__subclass(s__Hominid,s__Primate),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6012,axiom,
    s__subclass(s__Human,s__Hominid),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7218,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7219,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7220,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[status(cth)],[f7219]) ).

fof(f7260,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(f7261,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7260]) ).

fof(f7262,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,X0)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7260]) ).

fof(f7263,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(f7264,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)],[f7263]) ).

fof(f7265,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X0)
      | ~ s__instance(X2,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f7264]) ).

fof(f17491,plain,
    s__subclass(s__Primate,s__Mammal),
    inference(cnf_transformation,[status(thm)],[f5999]) ).

fof(f17501,plain,
    s__subclass(s__Hominid,s__Primate),
    inference(cnf_transformation,[status(thm)],[f6009]) ).

fof(f17504,plain,
    s__subclass(s__Human,s__Hominid),
    inference(cnf_transformation,[status(thm)],[f6012]) ).

fof(f19220,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[status(thm)],[f7218]) ).

fof(f19221,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[status(thm)],[f7220]) ).

fof(f19568,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1)
      | ~ s__subclass(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7265,f7262]) ).

fof(f19571,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f19568,f7261]) ).

fof(f20852,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Mammal)
      | ~ s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[status(thm)],[f19571,f19221]) ).

fof(f20958,plain,
    ~ s__instance(s__AbrahamLincoln,s__Primate),
    inference(resolution,[status(thm)],[f17491,f20852]) ).

fof(f20959,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Primate)
      | ~ s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[status(thm)],[f20958,f19571]) ).

fof(f21068,plain,
    ~ s__instance(s__AbrahamLincoln,s__Hominid),
    inference(resolution,[status(thm)],[f17501,f20959]) ).

fof(f21069,plain,
    ! [X0] :
      ( ~ s__instance(s__AbrahamLincoln,X0)
      | ~ s__subclass(X0,s__Hominid) ),
    inference(resolution,[status(thm)],[f21068,f19571]) ).

fof(f21070,plain,
    ~ s__instance(s__AbrahamLincoln,s__Human),
    inference(resolution,[status(thm)],[f21069,f17504]) ).

fof(f21071,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21070,f19220]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR118+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41  % Computer : n015.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Mon Sep 21 15:13:53 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.57/0.85  % Drodi V4.1.1
% 151.80/20.05  % Refutation found
% 151.80/20.05  % SZS status Theorem for theBenchmark: Theorem is valid
% 151.80/20.05  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 119.93/20.18  % Elapsed time: 19.747256 seconds
% 119.93/20.18  % CPU time: 153.239493 seconds
% 119.93/20.18  % Total memory used: 940.401 MB
% 119.93/20.18  % Net memory used: 914.477 MB
%------------------------------------------------------------------------------