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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN974+1 : TPTP v9.3.1. Released v3.1.0.
% 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 03:18:37 PM UTC 2026

% Result   : Theorem 0.14s 10.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    8 (   3   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X] : p(X)
   => ? [Y] : p(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ? [X] : p(X)
     => ? [Y] : p(Y) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [Y] : ~ p(Y)
    & ? [X] : p(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f4,plain,
    ( ! [Y] : ~ p(Y)
    & p(sK0_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f3]) ).

fof(f5,plain,
    p(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f6,plain,
    ! [X0] : ~ p(X0),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f7,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f5,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN974+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37  % Computer : n018.cluster.edu
% 0.10/10.37  % Model    : x86_64 x86_64
% 0.10/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37  % Memory   : 8046.5625MB
% 0.10/10.37  % OS       : Linux 6.8.0-71-generic
% 0.10/10.37  % CPULimit : 300
% 0.10/10.37  % WCLimit  : 300
% 0.10/10.37  % DateTime : Mon Sep 21 11:33:54 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.10/10.39  % Drodi V4.1.1
% 0.14/10.41  % Refutation found
% 0.14/10.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.42  % Elapsed time: 0.040519 seconds
% 0.14/10.42  % CPU time: 0.106879 seconds
% 0.14/10.42  % Total memory used: 16.362 MB
% 0.14/10.42  % Net memory used: 15.713 MB
%------------------------------------------------------------------------------