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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN125-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 03:15:17 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.60s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  20   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [I,J] :
      ( ~ k0(J)
      | ~ l0(I)
      | m1(I,J,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f214,axiom,
    ! [D,E] :
      ( ~ m1(E,D,E)
      | p2(D,E,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f253,axiom,
    ! [G,H] :
      ( ~ p2(G,H,G)
      | ~ r0(G)
      | l3(G,H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l3(e,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f382,plain,
    r0(e),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f393,plain,
    l0(c),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f397,plain,
    k0(e),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f442,plain,
    ! [J] :
      ( ~ k0(J)
      | ! [I] :
          ( ~ l0(I)
          | m1(I,J,I) ) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ~ k0(X1)
      | ~ l0(X0)
      | m1(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f442]) ).

fof(f685,plain,
    ! [X0,X1] :
      ( ~ m1(X1,X0,X1)
      | p2(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f214]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1,X0)
      | ~ r0(X0)
      | l3(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f253]) ).

fof(f924,plain,
    ~ l3(e,c),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f926,plain,
    ! [X0] :
      ( ~ p2(e,X0,e)
      | l3(e,X0) ),
    inference(resolution,[status(thm)],[f382,f742]) ).

fof(f974,plain,
    ! [X0] :
      ( l3(e,X0)
      | ~ m1(X0,e,X0) ),
    inference(resolution,[status(thm)],[f685,f926]) ).

fof(f978,plain,
    ~ m1(c,e,c),
    inference(resolution,[status(thm)],[f974,f924]) ).

fof(f981,plain,
    ( ~ k0(e)
    | ~ l0(c) ),
    inference(resolution,[status(thm)],[f978,f443]) ).

fof(f984,plain,
    ~ k0(e),
    inference(forward_subsumption_resolution,[status(thm)],[f981,f393]) ).

fof(f985,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f984,f397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN125-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55  % Computer : n017.cluster.edu
% 0.09/0.55  % Model    : x86_64 x86_64
% 0.09/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55  % Memory   : 8046.5625MB
% 0.09/0.55  % OS       : Linux 6.8.0-71-generic
% 0.09/0.55  % CPULimit : 300
% 0.09/0.55  % WCLimit  : 300
% 0.09/0.55  % DateTime : Mon Sep 21 10:39:12 UTC 2026
% 0.10/0.56  % CPUTime  : 
% 0.10/0.57  % Drodi V4.1.1
% 0.10/0.60  % Refutation found
% 0.10/0.60  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.62  % Elapsed time: 0.058873 seconds
% 0.10/0.62  % CPU time: 0.165777 seconds
% 0.10/0.62  % Total memory used: 50.704 MB
% 0.10/0.62  % Net memory used: 50.583 MB
%------------------------------------------------------------------------------