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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 03:15:14 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.44s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [I,J] :
      ( ~ n0(J,I)
      | k1(I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ k1(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f384,plain,
    n0(a,b),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f408,plain,
    ! [I] :
      ( ! [J] : ~ n0(J,I)
      | k1(I) ),
    inference(miniscoping,[status(thm)],[f39]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | k1(X0) ),
    inference(cnf_transformation,[status(thm)],[f408]) ).

fof(f924,plain,
    ~ k1(b),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f928,plain,
    k1(b),
    inference(resolution,[status(thm)],[f409,f384]) ).

fof(f934,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f928,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39  % Computer : n019.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 21 10:43:19 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.17/0.42  % Drodi V4.1.1
% 0.17/0.44  % Refutation found
% 0.17/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.52  % Elapsed time: 0.114026 seconds
% 0.17/0.52  % CPU time: 0.117290 seconds
% 0.17/0.52  % Total memory used: 4.328 MB
% 0.17/0.52  % Net memory used: 4.322 MB
%------------------------------------------------------------------------------