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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR118+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 0.54s 1.13s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   52 (  24   ~;  21   |;   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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   25 (  25   !;   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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f13270,axiom,
    s__subclass(s__Human,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14788,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14789,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14790,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[status(cth)],[f14789]) ).

fof(f14830,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(f14831,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14830]) ).

fof(f14832,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14830]) ).

fof(f14833,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(f14834,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)],[f14833]) ).

fof(f14835,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)],[f14834]) ).

fof(f32842,plain,
    s__subclass(s__Human,s__Mammal),
    inference(cnf_transformation,[status(thm)],[f13270]) ).

fof(f34360,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[status(thm)],[f14788]) ).

fof(f34361,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[status(thm)],[f14790]) ).

fof(f34809,plain,
    s__instance(s__Human,s__SetOrClass),
    inference(resolution,[status(thm)],[f14831,f32842]) ).

fof(f34837,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[status(thm)],[f14835,f14832]) ).

fof(f34838,plain,
    ! [X0] :
      ( s__instance(X0,s__Mammal)
      | ~ s__instance(X0,s__Human)
      | ~ s__instance(s__Human,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f34837,f32842]) ).

fof(f34995,plain,
    ! [X0] :
      ( s__instance(X0,s__Mammal)
      | ~ s__instance(X0,s__Human) ),
    inference(forward_subsumption_resolution,[status(thm)],[f34838,f34809]) ).

fof(f34996,plain,
    ~ s__instance(s__AbrahamLincoln,s__Human),
    inference(resolution,[status(thm)],[f34995,f34361]) ).

fof(f34997,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f34996,f34360]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR118+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n009.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 15:10:43 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.46/0.71  % Drodi V4.1.1
% 0.54/1.13  % Refutation found
% 0.54/1.13  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.54/1.13  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.66/1.16  % Elapsed time: 0.790488 seconds
% 2.66/1.16  % CPU time: 2.956870 seconds
% 2.66/1.16  % Total memory used: 763.285 MB
% 2.66/1.16  % Net memory used: 760.610 MB
%------------------------------------------------------------------------------