TSTP Solution File: RNG102+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:37:59 EDT 2024

% Result   : Theorem 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   26 (   9 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   22 (   6   ~;   2   |;  14   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,hypothesis,
    ( ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xy )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,conjecture,
    ? [W0] :
      ( aElement0(W0)
      & sdtasdt0(xc,W0) = xy ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ~ ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xy ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

fof(f194,plain,
    ( aElement0(sk0_20)
    & sdtasdt0(xc,sk0_20) = xx
    & aElementOf0(xx,slsdtgt0(xc))
    & aElement0(sk0_21)
    & sdtasdt0(xc,sk0_21) = xy
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    inference(skolemization,[status(esa)],[f39]) ).

fof(f198,plain,
    aElement0(sk0_21),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f199,plain,
    sdtasdt0(xc,sk0_21) = xy,
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f204,plain,
    ! [W0] :
      ( ~ aElement0(W0)
      | sdtasdt0(xc,W0) != xy ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(xc,X0) != xy ),
    inference(cnf_transformation,[status(esa)],[f204]) ).

fof(f257,plain,
    ~ aElement0(sk0_21),
    inference(resolution,[status(thm)],[f199,f205]) ).

fof(f258,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f257,f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 22:50:05 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.6.0
% 0.16/0.33  % Refutation found
% 0.16/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.34  % Elapsed time: 0.019715 seconds
% 0.16/0.34  % CPU time: 0.028456 seconds
% 0.16/0.34  % Total memory used: 13.576 MB
% 0.16/0.34  % Net memory used: 13.560 MB
%------------------------------------------------------------------------------