TSTP Solution File: KRS178+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:24:59 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  15   ~;  13   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   37 (  32   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( status(Ax,C,S1)
         => status(Ax,C,S2) )
    <=> isa(S1,S2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    ! [S1] : isa(S1,S1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ ! [S1] : isa(S1,S1),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f22,plain,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( ~ status(Ax,C,S1)
          | status(Ax,C,S2) )
    <=> isa(S1,S2) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f23,plain,
    ! [S1,S2] :
      ( ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) )
        | isa(S1,S2) )
      & ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(NNF_transformation,[status(esa)],[f22]) ).

fof(f24,plain,
    ( ! [S1,S2] :
        ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) )
        | isa(S1,S2) )
    & ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(miniscoping,[status(esa)],[f23]) ).

fof(f25,plain,
    ( ! [S1,S2] :
        ( ( status(sk0_2(S2,S1),sk0_3(S2,S1),S1)
          & ~ status(sk0_2(S2,S1),sk0_3(S2,S1),S2) )
        | isa(S1,S2) )
    & ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(skolemization,[status(esa)],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( status(sk0_2(X0,X1),sk0_3(X0,X1),X1)
      | isa(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ status(sk0_2(X0,X1),sk0_3(X0,X1),X0)
      | isa(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f82,plain,
    ? [S1] : ~ isa(S1,S1),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f83,plain,
    ~ isa(sk0_29,sk0_29),
    inference(skolemization,[status(esa)],[f82]) ).

fof(f84,plain,
    ~ isa(sk0_29,sk0_29),
    inference(cnf_transformation,[status(esa)],[f83]) ).

fof(f85,plain,
    ! [X0] :
      ( isa(X0,X0)
      | isa(X0,X0) ),
    inference(resolution,[status(thm)],[f27,f26]) ).

fof(f86,plain,
    ! [X0] : isa(X0,X0),
    inference(duplicate_literals_removal,[status(esa)],[f85]) ).

fof(f87,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f84,f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:23:41 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.017834 seconds
% 0.21/0.38  % CPU time: 0.034737 seconds
% 0.21/0.38  % Total memory used: 2.130 MB
% 0.21/0.38  % Net memory used: 1.979 MB
%------------------------------------------------------------------------------