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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR098+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.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 12:13:39 PM UTC 2026

% Result   : Theorem 33.75s 8.79s
% Output   : CNFRefutation 34.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :  101 (  11 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  126 (  42   ~;  42   |;  38   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   56 (  48   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    s__instance(s__Mausaharati,s__SocialRole),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32412,axiom,
    ! [V__C2,V__U,V__C1] :
      ( V__U = s__UnionFn(V__C1,V__C2)
    <=> ! [V__I1,V__I2,V__I3] :
          ( ( s__instance(V__C2,s__SetOrClass)
            & s__instance(V__U,s__SetOrClass)
            & s__instance(V__C1,s__SetOrClass) )
         => ( ( s__instance(V__I3,V__U)
              & s__instance(V__I2,V__C2)
              & s__instance(V__I1,V__C1) )
           => ( ( s__instance(V__I3,V__C2)
                | s__instance(V__I3,V__C1) )
              & s__instance(V__I2,V__U)
              & s__instance(V__I1,V__U) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55590,conjecture,
    ? [X__s__Animal29_1] : s__instance(X__s__Animal29_1,s__Amphibian),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55591,negated_conjecture,
    ~ ? [X__s__Animal29_1] : s__instance(X__s__Animal29_1,s__Amphibian),
    inference(negated_conjecture,[status(cth)],[f55590]) ).

fof(f55613,plain,
    s__instance(s__Mausaharati,s__SocialRole),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f123582,plain,
    ! [V__C2,V__U,V__C1] :
      ( V__U = s__UnionFn(V__C1,V__C2)
    <=> ! [V__I1,V__I2,V__I3] :
          ( ( ( s__instance(V__I3,V__C2)
              | s__instance(V__I3,V__C1) )
            & s__instance(V__I2,V__U)
            & s__instance(V__I1,V__U) )
          | ~ s__instance(V__I3,V__U)
          | ~ s__instance(V__I2,V__C2)
          | ~ s__instance(V__I1,V__C1)
          | ~ s__instance(V__C2,s__SetOrClass)
          | ~ s__instance(V__U,s__SetOrClass)
          | ~ s__instance(V__C1,s__SetOrClass) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f32412]) ).

fof(f123583,plain,
    ! [V__C2,V__U,V__C1] :
      ( ( ? [V__I1,V__I2,V__I3] :
            ( ( ( ~ s__instance(V__I3,V__C2)
                & ~ s__instance(V__I3,V__C1) )
              | ~ s__instance(V__I2,V__U)
              | ~ s__instance(V__I1,V__U) )
            & s__instance(V__I3,V__U)
            & s__instance(V__I2,V__C2)
            & s__instance(V__I1,V__C1)
            & s__instance(V__C2,s__SetOrClass)
            & s__instance(V__U,s__SetOrClass)
            & s__instance(V__C1,s__SetOrClass) )
        | V__U = s__UnionFn(V__C1,V__C2) )
      & ( ! [V__I1,V__I2,V__I3] :
            ( ( ( s__instance(V__I3,V__C2)
                | s__instance(V__I3,V__C1) )
              & s__instance(V__I2,V__U)
              & s__instance(V__I1,V__U) )
            | ~ s__instance(V__I3,V__U)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I1,V__C1)
            | ~ s__instance(V__C2,s__SetOrClass)
            | ~ s__instance(V__U,s__SetOrClass)
            | ~ s__instance(V__C1,s__SetOrClass) )
        | V__U != s__UnionFn(V__C1,V__C2) ) ),
    inference(NNF_transformation,[status(thm)],[f123582]) ).

fof(f123584,plain,
    ( ! [V__C2,V__U,V__C1] :
        ( ( ? [V__I1,V__I2,V__I3] :
              ( ( ( ~ s__instance(V__I3,V__C2)
                  & ~ s__instance(V__I3,V__C1) )
                | ~ s__instance(V__I2,V__U)
                | ~ s__instance(V__I1,V__U) )
              & s__instance(V__I3,V__U)
              & s__instance(V__I2,V__C2)
              & s__instance(V__I1,V__C1) )
          & s__instance(V__C2,s__SetOrClass)
          & s__instance(V__U,s__SetOrClass)
          & s__instance(V__C1,s__SetOrClass) )
        | V__U = s__UnionFn(V__C1,V__C2) )
    & ! [V__C2,V__U,V__C1] :
        ( ! [V__I1,V__I2,V__I3] :
            ( ( ( s__instance(V__I3,V__C2)
                | s__instance(V__I3,V__C1) )
              & s__instance(V__I2,V__U)
              & s__instance(V__I1,V__U) )
            | ~ s__instance(V__I3,V__U)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I1,V__C1) )
        | ~ s__instance(V__C2,s__SetOrClass)
        | ~ s__instance(V__U,s__SetOrClass)
        | ~ s__instance(V__C1,s__SetOrClass)
        | V__U != s__UnionFn(V__C1,V__C2) ) ),
    inference(miniscoping,[status(thm)],[f123583]) ).

fof(f123585,plain,
    ( ! [V__C2,V__U,V__C1] :
        ( ( ( ( ~ s__instance(sK4528_skl(V__C1,V__U,V__C2),V__C2)
              & ~ s__instance(sK4528_skl(V__C1,V__U,V__C2),V__C1) )
            | ~ s__instance(sK4527_skl(V__C1,V__U,V__C2),V__U)
            | ~ s__instance(sK4526_skl(V__C1,V__U,V__C2),V__U) )
          & s__instance(sK4528_skl(V__C1,V__U,V__C2),V__U)
          & s__instance(sK4527_skl(V__C1,V__U,V__C2),V__C2)
          & s__instance(sK4526_skl(V__C1,V__U,V__C2),V__C1)
          & s__instance(V__C2,s__SetOrClass)
          & s__instance(V__U,s__SetOrClass)
          & s__instance(V__C1,s__SetOrClass) )
        | V__U = s__UnionFn(V__C1,V__C2) )
    & ! [V__C2,V__U,V__C1] :
        ( ! [V__I1,V__I2,V__I3] :
            ( ( ( s__instance(V__I3,V__C2)
                | s__instance(V__I3,V__C1) )
              & s__instance(V__I2,V__U)
              & s__instance(V__I1,V__U) )
            | ~ s__instance(V__I3,V__U)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I1,V__C1) )
        | ~ s__instance(V__C2,s__SetOrClass)
        | ~ s__instance(V__U,s__SetOrClass)
        | ~ s__instance(V__C1,s__SetOrClass)
        | V__U != s__UnionFn(V__C1,V__C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4526_skl,sK4527_skl,sK4528_skl]),skolemize(V__I1,sK4526_skl(V__C1,V__U,V__C2)),skolemize(V__I2,sK4527_skl(V__C1,V__U,V__C2)),skolemize(V__I3,sK4528_skl(V__C1,V__U,V__C2))],[f123584]) ).

fof(f123592,plain,
    ! [X0,X1,X2] :
      ( s__instance(sK4526_skl(X1,X0,X2),X1)
      | X0 = s__UnionFn(X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f123585]) ).

fof(f156905,plain,
    ! [X__s__Animal29_1] : ~ s__instance(X__s__Animal29_1,s__Amphibian),
    inference(pre_NNF_transformation,[status(thm)],[f55591]) ).

fof(f156906,plain,
    ! [X0] : ~ s__instance(X0,s__Amphibian),
    inference(cnf_transformation,[status(thm)],[f156905]) ).

fof(f170142,plain,
    ! [X0,X1] : X0 = s__UnionFn(s__Amphibian,X1),
    inference(resolution,[status(thm)],[f123592,f156906]) ).

fof(f170625,plain,
    ! [X0,X1] : X0 = X1,
    inference(paramodulation,[status(thm)],[f170142,f170142]) ).

fof(f170639,plain,
    ! [X0] : s__instance(X0,s__SocialRole),
    inference(paramodulation,[status(thm)],[f170625,f55613]) ).

fof(f170687,plain,
    ! [X0,X1] : s__instance(X0,X1),
    inference(paramodulation,[status(thm)],[f170625,f170639]) ).

fof(f170743,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f156906,f170687]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR098+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  % Computer : n018.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Mon Sep 21 14:59:59 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 4.63/4.97  % Drodi V4.1.1
% 33.75/8.79  % Refutation found
% 33.75/8.79  % SZS status Theorem for theBenchmark: Theorem is valid
% 33.75/8.79  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.18/9.80  % Elapsed time: 9.217596 seconds
% 6.18/9.80  % CPU time: 35.529298 seconds
% 6.18/9.80  % Total memory used: 3.972 GB
% 6.18/9.80  % Net memory used: 3.935 GB
%------------------------------------------------------------------------------