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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR096+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.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 12:13:38 PM UTC 2026

% Result   : Theorem 243.11s 31.52s
% Output   : CNFRefutation 223.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   60 (  18 unt;   0 def)
%            Number of atoms       :  169 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  207 (  98   ~;  95   |;   5   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   47 (  47   !;   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(f613,axiom,
    s__subclass(s__Object,s__Physical),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6942,axiom,
    s__subclass(s__AstronomicalBody,s__Object),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16750,axiom,
    s__subclass(s__Planet26_1,s__AstronomicalBody),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16751,axiom,
    ! [V_P] :
      ( s__instance(V_P,s__Object)
     => ( s__instance(V_P,s__Planet26_1)
       => ( s__attribute(V_P,s__Gaseous)
          | s__attribute(V_P,s__Solid) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16752,axiom,
    ! [V_P] :
      ( s__instance(V_P,s__Object)
     => ( s__instance(V_P,s__Planet26_1)
       => ( s__attribute(V_P,s__HostileToEarthLife)
          | s__attribute(V_P,s__Earthlike) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16753,axiom,
    ! [V_X] :
      ( s__instance(V_X,s__Object)
     => ( ( s__attribute(V_X,s__Gaseous)
          & s__instance(V_X,s__Planet26_1) )
       => ~ s__attribute(V_X,s__Earthlike) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16754,axiom,
    s__instance(s__Object26_1,s__Planet26_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16755,axiom,
    ~ s__attribute(s__Object26_1,s__Solid),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16756,conjecture,
    s__attribute(s__Object26_1,s__HostileToEarthLife),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16757,negated_conjecture,
    ~ s__attribute(s__Object26_1,s__HostileToEarthLife),
    inference(negated_conjecture,[status(cth)],[f16756]) ).

fof(f16797,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(f16798,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f16797]) ).

fof(f16799,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,X0)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f16797]) ).

fof(f16800,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(f16801,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)],[f16800]) ).

fof(f16802,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X1,s__SetOrClass)
      | s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f16801]) ).

fof(f18085,plain,
    s__subclass(s__Object,s__Physical),
    inference(cnf_transformation,[status(thm)],[f613]) ).

fof(f29173,plain,
    s__subclass(s__AstronomicalBody,s__Object),
    inference(cnf_transformation,[status(thm)],[f6942]) ).

fof(f44211,plain,
    s__subclass(s__Planet26_1,s__AstronomicalBody),
    inference(cnf_transformation,[status(thm)],[f16750]) ).

fof(f44212,plain,
    ! [V_P] :
      ( s__attribute(V_P,s__Gaseous)
      | s__attribute(V_P,s__Solid)
      | ~ s__instance(V_P,s__Planet26_1)
      | ~ s__instance(V_P,s__Object) ),
    inference(pre_NNF_transformation,[status(thm)],[f16751]) ).

fof(f44213,plain,
    ! [X0] :
      ( s__attribute(X0,s__Solid)
      | ~ s__instance(X0,s__Object)
      | s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Planet26_1) ),
    inference(cnf_transformation,[status(thm)],[f44212]) ).

fof(f44214,plain,
    ! [V_P] :
      ( s__attribute(V_P,s__HostileToEarthLife)
      | s__attribute(V_P,s__Earthlike)
      | ~ s__instance(V_P,s__Planet26_1)
      | ~ s__instance(V_P,s__Object) ),
    inference(pre_NNF_transformation,[status(thm)],[f16752]) ).

fof(f44215,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Planet26_1)
      | s__attribute(X0,s__Earthlike)
      | ~ s__instance(X0,s__Object)
      | s__attribute(X0,s__HostileToEarthLife) ),
    inference(cnf_transformation,[status(thm)],[f44214]) ).

fof(f44216,plain,
    ! [V_X] :
      ( ~ s__attribute(V_X,s__Earthlike)
      | ~ s__attribute(V_X,s__Gaseous)
      | ~ s__instance(V_X,s__Planet26_1)
      | ~ s__instance(V_X,s__Object) ),
    inference(pre_NNF_transformation,[status(thm)],[f16753]) ).

fof(f44217,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object)
      | ~ s__attribute(X0,s__Gaseous)
      | ~ s__attribute(X0,s__Earthlike) ),
    inference(cnf_transformation,[status(thm)],[f44216]) ).

fof(f44218,plain,
    s__instance(s__Object26_1,s__Planet26_1),
    inference(cnf_transformation,[status(thm)],[f16754]) ).

fof(f44219,plain,
    ~ s__attribute(s__Object26_1,s__Solid),
    inference(cnf_transformation,[status(thm)],[f16755]) ).

fof(f44220,plain,
    ~ s__attribute(s__Object26_1,s__HostileToEarthLife),
    inference(cnf_transformation,[status(thm)],[f16757]) ).

fof(f44464,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__Object26_1,s__Object)
    | s__attribute(s__Object26_1,s__HostileToEarthLife) ),
    inference(resolution,[status(thm)],[f44215,f44218]) ).

fof(f44465,plain,
    ( ~ s__instance(s__Object26_1,s__Object)
    | s__attribute(s__Object26_1,s__Earthlike) ),
    inference(forward_subsumption_resolution,[status(thm)],[f44464,f44220]) ).

fof(f44541,plain,
    ! [X0] :
      ( ~ s__instance(s__Planet26_1,s__SetOrClass)
      | ~ s__subclass(s__Planet26_1,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Object26_1,X0) ),
    inference(resolution,[status(thm)],[f16802,f44218]) ).

fof(f44548,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(s__Object,s__SetOrClass)
      | ~ s__instance(s__Object26_1,X0)
      | ~ s__subclass(X0,s__Object)
      | s__attribute(s__Object26_1,s__Earthlike) ),
    inference(resolution,[status(thm)],[f16802,f44465]) ).

fof(f44603,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,s__SetOrClass)
      | s__instance(s__Object26_1,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(s__Planet26_1,s__SetOrClass)
      | ~ s__subclass(s__Planet26_1,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f44541,f16802]) ).

fof(f44605,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Object26_1,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__subclass(s__Planet26_1,X0)
      | ~ s__instance(s__Planet26_1,s__SetOrClass) ),
    inference(duplicate_literals_removal,[status(thm)],[f44603]) ).

fof(f44630,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__Object26_1,s__AstronomicalBody)
    | ~ s__instance(s__AstronomicalBody,s__SetOrClass)
    | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f44548,f29173]) ).

fof(f45923,plain,
    ( s__attribute(s__Object26_1,s__Solid)
    | ~ s__instance(s__Object26_1,s__Object)
    | s__attribute(s__Object26_1,s__Gaseous) ),
    inference(resolution,[status(thm)],[f44213,f44218]) ).

fof(f45929,plain,
    ( s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(forward_subsumption_resolution,[status(thm)],[f45923,f44219]) ).

fof(f46128,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Object26_1,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__subclass(s__Planet26_1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f44605,f16798]) ).

fof(f46129,plain,
    ! [X0] :
      ( s__instance(s__Object26_1,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(s__Planet26_1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f44541,f16798]) ).

fof(f46233,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,s__SetOrClass)
      | s__instance(s__Object26_1,X1)
      | ~ s__subclass(s__Planet26_1,X0)
      | ~ s__subclass(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46128,f16798]) ).

fof(f46316,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__AstronomicalBody,s__SetOrClass)
    | ~ s__instance(s__Object,s__SetOrClass)
    | ~ s__instance(s__AstronomicalBody,s__SetOrClass)
    | ~ s__subclass(s__Planet26_1,s__AstronomicalBody) ),
    inference(resolution,[status(thm)],[f46129,f44630]) ).

fof(f46423,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__Object,s__SetOrClass)
    | ~ s__instance(s__AstronomicalBody,s__SetOrClass)
    | ~ s__subclass(s__Planet26_1,s__AstronomicalBody) ),
    inference(duplicate_literals_removal,[status(thm)],[f46316]) ).

fof(f46424,plain,
    ( ~ s__instance(s__Object,s__SetOrClass)
    | s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__AstronomicalBody,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46423,f44211]) ).

fof(f46654,plain,
    ! [X0] :
      ( ~ s__subclass(s__AstronomicalBody,X0)
      | s__attribute(s__Object26_1,s__Earthlike)
      | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f46424,f16798]) ).

fof(f46657,plain,
    ! [X0,X1] :
      ( ~ s__subclass(s__Object,X1)
      | s__attribute(s__Object26_1,s__Earthlike)
      | ~ s__subclass(s__AstronomicalBody,X0) ),
    inference(resolution,[status(thm)],[f46654,f16798]) ).

fof(f46658,plain,
    ! [X0] :
      ( s__attribute(s__Object26_1,s__Earthlike)
      | ~ s__subclass(s__Object,X0) ),
    inference(resolution,[status(thm)],[f46657,f29173]) ).

fof(f46659,plain,
    s__attribute(s__Object26_1,s__Earthlike),
    inference(resolution,[status(thm)],[f46658,f18085]) ).

fof(f46835,plain,
    ! [X0] :
      ( ~ s__subclass(s__AstronomicalBody,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | s__instance(s__Object26_1,X0) ),
    inference(resolution,[status(thm)],[f46233,f44211]) ).

fof(f46955,plain,
    ( s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__subclass(s__AstronomicalBody,s__Object)
    | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f46835,f45929]) ).

fof(f47022,plain,
    ( s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46955,f29173]) ).

fof(f47029,plain,
    ! [X0] :
      ( ~ s__subclass(s__Object,X0)
      | s__attribute(s__Object26_1,s__Gaseous) ),
    inference(resolution,[status(thm)],[f47022,f16798]) ).

fof(f47030,plain,
    s__attribute(s__Object26_1,s__Gaseous),
    inference(resolution,[status(thm)],[f47029,f18085]) ).

fof(f50014,plain,
    ! [X0] :
      ( s__instance(s__Object26_1,X0)
      | ~ s__subclass(s__AstronomicalBody,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f46835,f16799]) ).

fof(f57066,plain,
    ( ~ s__instance(s__Object26_1,s__Object)
    | ~ s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__attribute(s__Object26_1,s__Earthlike) ),
    inference(resolution,[status(thm)],[f44217,f44218]) ).

fof(f57076,plain,
    ( ~ s__instance(s__Object26_1,s__Object)
    | ~ s__attribute(s__Object26_1,s__Gaseous) ),
    inference(forward_subsumption_resolution,[status(thm)],[f57066,f46659]) ).

fof(f57077,plain,
    ~ s__instance(s__Object26_1,s__Object),
    inference(forward_subsumption_resolution,[status(thm)],[f57076,f47030]) ).

fof(f57079,plain,
    ~ s__subclass(s__AstronomicalBody,s__Object),
    inference(resolution,[status(thm)],[f57077,f50014]) ).

fof(f57083,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f57079,f29173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR096+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 14:58:31 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.66/0.93  % Drodi V4.1.1
% 243.11/31.52  % Refutation found
% 243.11/31.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 243.11/31.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 62.85/31.76  % Elapsed time: 31.390191 seconds
% 62.85/31.76  % CPU time: 244.066274 seconds
% 62.85/31.76  % Total memory used: 1.459 GB
% 62.85/31.76  % Net memory used: 1.411 GB
%------------------------------------------------------------------------------